The diagonals of rhombus ABCD intersect at E. Given that m∠BAC=53°, DE=8 and EC=6, Find AC.

AC=?

The Diagonals Of Rhombus ABCD Intersect At E. Given That MBAC=53, DE=8 And EC=6, Find AC.AC=?

Answers

Answer 1

[tex]\it AC=2\cdot EC=2\cdot6=12[/tex]


Related Questions

A 6-sided die is rolled 2 times. What is the probability of getting 1 both times? (Give your answer as a fraction in simplest form.

Answers

Answer:1/36

Step-by-step explanation:

you have a 1 in 6 chance to get one out of a 6 sided die. U double that to get 1/36.

Calculate the acceleration produced by a bus moving with velocity of 72 km / hr to stop a distance of 50​

Answers

As a result, the bus accelerates at a rate of -4 m/s2, and it travels 50 m after applying the brakes.

Find the acceleration ?

Bus's initial speed was 72 km/h.

Bus's last speed is 0 km/h.

(Therefore, the bus driver stops)

Bus travel time, t=5 s

To Locate

Bus acceleration and the distance it travels before stopping once the brakes are applied

Solution:

Final velocity is v.

Initial velocity is u.

Acceleration is a.

It takes time.

displacement is s.

Considering that

u = 20m/s

v = 0 m/s

Bus acceleration should be "a"

When using the first law of motion on a bus, we obtain

Let d represent the bus's distance traveled after braking.

a = -4 m/s²

Thus, when we use the third equation of motion on a bus, we obtain

As a result, the bus accelerates at a rate of -4 m/s2, and it travels 50 m after applying the brakes.

d = 50 m

To learn more about accelerates refer

https://brainly.com/question/460763

#SPJ1

Select which step should be completed first in the simplification process for each of the expressions.


Choices parentheses exponents multiplication/division addition/subtraction

Answers

The evaluation of the expression using the order of operations, indicates the operations that come first as follows;

(5 + 5)² + 15 - 10 Parenthesis

40 ÷ 8 · 4  + 2; Division

4 - 2 + 3 · 5; Multiplication

(3² + 8) ÷ 7 - 5; Parenthesis

What is the order of performing mathematical operations?

The order of operations is a rule that serves as a guide for the correct sequence of performing operations in an equation or expression.  

The evaluation expressions can be presented as follows;

First operation;

(5 + 5)² + 15 - 10

The order of operations, PEMDAS, indicates that we get;

1) Parenthesis first

2) Exponents

3) Multiplication and division

4) Addition and subtraction

Based on the above PEMDAS order of operation, the step that should be completed first is the operation within the parenthesis, which is the addition operation (5 + 5)

The correct option is; Parenthesis

(5 + 5)² + 15 - 10 Parenthesis

Second expression;

40 ÷ 8 · 4 + 2

The operations in the expression are; division, multiplication, and addition

The order of operations indicates that division, which comes first, from the left, should be performed first. The correct option is therefore;

40 ÷ 8 · 4 + 2; division

Third expression;

4 - 2 + 3 · 5

The subtraction is the first operation from the left, but the order of operations, PEMDAS, indicates that the multiplication, 3 · 5 should be performed first, therefore;

4 - 2 + 3 · 5; Multiplication

Fourth expression;

(3³ + 8) ÷ 7 - 5

The parenthesis which comes first in the order of operations and first among the operations from left to right comes first

Therefore, the parenthesis comes first;

(3³ + 8) ÷ 7 - 5; Parenthesis

Learn more about the order of operations here: https://brainly.com/question/15840745

#SPJ1

Marge simplified the expression as show. -8b+15b+14=21b. What mistake did marge make, what is the correct simplified version of the expression

Answers

The value of expression is 1 of the equation -8b+15b+14=21b

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given expression is -8b+15b+14=21b

Minus eight times of b plus fifteen b plus forteen equal to twenty one.

In the given expression b is the variable and minus and plus are the operators.

-8b+15b+14=21b

Take the variable terms on one side and constant on other side.

-8b+15b-21b=-14

-14b=-14

Divide both sides by -14

b=1

Hence, the value of expression is 1 of the equation -8b+15b+14=21b

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

is the solution of b x 5/6 = 25 greater than or less than 25

Answers

The value of the equation is b = 30 , which is greater than 25

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

b x ( 5/6 ) = 25   be equation (1)

On simplifying the equation , we get

Multiply by 6 on both sides of the equation , we get

5b = 25 x 6

5b = 150

Divide by 5 on both sides of the equation , we get

b = 150 / 5

b = 30

So , the value of b is 30 and is greater than 25

b > 25

Hence , the equation is b = 30

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Use the graph to answer the following questions.
(a) Over which intervals is the function increasing? Choose all that apply.
(-∞, -9) (-6, -2) (-2, 3) (3, 7) (-2,7) (7, ∞0)
(b) At which x-values does the function have local minima? If there is more than one
value, separate them with commas.
-6,3
(c) What is the sign of the function's leading coefficient?
(Choose one)
(d) Which of the following is a possibility for the degree of the function? Choose all
that apply.
04
8
05
6
7
9
X

Answers

a) Over the intervals (−∞,−9),(-6,-2) and (3,7) the function is increasing.

b) At x-values x=-6 and x=3 the function have local minima.

c) The sign of the function's leading coefficient is negative.

d) The possibility for the degree of the function is 5 or 7.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

A function is said to increasing if the value of y increases as the value of x increases.

From the graph, the function is increasing on (−∞,−9),(-6,-2) and (3,7)

The local minima is a point where the function has minimum value in its local neighbour.

From the graph, the function has a local minima at x=-6 and at x=3.

In the end, the value of f(x) decreases as the value of x increases therefore the sign of the function's leading coefficient is negative.

The graph intersects the x-axis 2 times and also the function have 5 turning points both the these information indicates that the function is of 5 degrees or 7 degrees.

Therefore, interval, local minima, coefficient value and degree of function is obtained.

To learn more about function from the given link

brainly.com/question/24748644

#SPJ1

(2x^5+3y^4)(-4x^2+9y^4)

Answers

The simplified form of the expression  (2x⁵ + 3y⁴)(- 4x² + 9y⁴)

is 36y⁸ - 8x⁷ + 18x⁵y⁴ - 12x²y⁴.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A multiplication of two polynomials (2x⁵ + 3y⁴)(- 4x² + 9y⁴).

= 2x⁵(- 4x² + 9y⁴) + 3y⁴(- 4x² + 9y⁴).

= - 8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 36y⁸.  (multiplication of the same base is the

                                                                                addition of exponents)                                                                                                              

= 36y⁸ - 8x⁷ + 18x⁵y⁴ - 12x²y⁴.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ1

Which of the following are options you can select in the Top Values list for a query? Select all the options that apply.a. all b. 25% c. 5 d. none

Answers

All, 25%, and 5 are all valid options that can be selected in the Top Values list for a query.

All will display all the values in the query, 25% will display the top 25% of the values, and 5 will display the top 5 values.

To calculate 25%, we can use the formula (value/total)*100. For example, if the total number of values is 20, then 25% would be (20/20)*100 = 100. This would display all 20 values in the query. Similarly, if the total number of values is 50, then 25% would be (50/50)*100 = 100, which would also display all 50 values.

To calculate 5, we can use the same formula (value/total)*100. For example, if the total number of values is 20, then 5 would be (5/20)*100 = 25. This would display the top 5 values in the query. Similarly, if the total number of values is 50, then 5 would be (5/50)*100 = 10, which would also display the top 5 values.

Learn more about total number here:

https://brainly.com/question/14993202

#SPJ4

Given that 2log (x^2 y)=3 + logx- log y where x and y are both positive, express y in terms of x. If x-y=3, find the value of x and of y.

Answers

The values of x and y for the given logarithmic function, 2 log (x²y) = 3 + logx - logy are respectively, 13/2 and 7/2

What is a logarithmic function ?

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

the logarithmic function,

2 log (x²y) = 3 + logx - logy

x - y = 3                .....................(i)

2 log (x²y) = 3 + logx - logy

2[ logx² + logy] = 3 + logx - logy

2[ 2logx + logy] = 3 + logx - logy

4logx + 2logy   = 3 + logx - logy

3logx + 3logy = 3

logx + logy = 1

logx + logy = log10

x  +  y  = 10          .............(ii)

By solving the equation (i) & (ii)

x - y = 3

x + y = 10

2x     =  13

x  = 13/2

13/2 - y = 3

y  = 7/2

Hence, the values of x and y is, 13/2 and 7/2

To know more about Logarithmic function check:

https://brainly.com/question/27389970

#SPJ1

A total of $6000 is invested: part at 7% and the remainder at 11 %. How much is invested at each rate if the annual interest is $460?

Answers

Based on a system of equations, the investment at each rate is as follows:

At 7% = $5,000At 11% = $1,000.

What is a system of equations?

A system of equations, also known as simultaneous equations, yields the solutions to two or more equations solved concurrently or simultaneously.

We use the let statements to state the variables of simultaneous equations.

The total investment = $6,000

The total interest earned = $460

Interest rates:

A = 7%

B = 11%

Let investment A = a and investment B = b

Equations:

0.07a + 0.11b = 460 ... Equation 1

a + b = 6,000 ... Equation 2

Multiply Equation 2 by 0.07:

Equation 3: 0.07a + 0.07b = 420

Subtract Equation 3 from Equation 1:

0.07a + 0.11b = 460

-

0.07a + 0.07b = 420

0.04b = 40

b = 1,000

= $1,000

From Equation 2:

a + b = 6,000

a + 1,000 = 6,000

a = 5,000

= $5,000

Thus, whereas $5,000 is invested at 7%, $1,000 is invested at 11%.

Learn more about simultaneous equations at https://brainly.com/question/148035

#SPJ1

Simplify (√3+√2)-(√3-√2)

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

Think of it in terms of a and b if its too difficult to understand what it is in its current state.

[tex]\sqrt{3} = a & \sqrt{2} = b\\(\sqrt{3} + \sqrt{2}) - (\sqrt{3} - \sqrt{2})\\(a + b) - (a - b)\\a + b - a + b\\2b \\2\sqrt{2}[/tex]

HOW can you use a bar diagram to show a percent of change?​

Answers

There are two ways in which one can show percent of change in bar diagram: Input helper column using error bars, and arrows of error bar.

What are bar diagrams?

Diagrams known as bar diagrams are ones in which data is shown using bars and rectangles.

First, an input helper column as indicated in the data below in order to produce a column chart with percentage change using error bars, and then base the chart on the helper data.

Second, use some arrows in place of the error bars; if the data rises in the following year, an up arrow is shown; if it falls in the following year, a down arrow is shown. The arrows and data labels will both be dynamically altered when the data changes at the same time.

Learn more about bar diagram here:

https://brainly.com/question/30048704

#SPJ1

Suppose you want to choose two colors, without replacement, from the three colors, red, blue, and green.

A) how many ways can this be done, if the order of the choices matters?

B) how many ways can this be done, if the order of the choices does not matter?

Answers

Statistics describes the examination of events subject to probability. Choices are therefore 6 and 3.

What is a probability simple definition?

How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.

Statistics describes the examination of events subject to probability.

a) Six options

(b) 3 Options

Given:

(3) Colors

Red, Blue, and Green are the options.

(a) The choices that were considered in the following order:

There are three color options when choosing the first hue.

There are two options when choosing the second color, and so on.

As a result, there are a total of = 3*2 = 6 options.

(b) The order of the options not taken into account:

When selecting this option, we decide on 3*2 and then eliminate duplicates.

Choices are therefore 6/2=3 Choices.

To learn more about probability refer

https://brainly.com/question/30034780

#SPJ1

the product of two consecutive natural numbers is 1.5 times the square of the lesser number. find the two numbers.

Answers

The two consecutive natural numbers that satisfy the given equation are 3 and 4.

Let the two numbers be x and x+1

x(x+1) = 1.5x^2

x^2 + x - 1.5x^2 = 0

x^2 - 0.5x = 0

(x-3)(x+0.5) = 0

x = 3, x+1 = 4

The given equation is the product of two consecutive natural numbers, which is equal to 1.5 times the square of the lesser number.

Therefore, we can set up an equation by substituting x for the lesser number and x+1 for the greater number.

x(x+1) = 1.5x^2

We can then simplify the equation by subtracting 1.5x^2 from both sides.

x^2 + x - 1.5x^2 = 0

We can then factor this equation to find the solution.

x^2 - 0.5x = 0

(x-3)(x+0.5) = 0

The solutions to this equation are x = 3 and x+1 = 4. Therefore, the two consecutive natural numbers are 3 and 4.

The two consecutive natural numbers that satisfy the given equation are 3 and 4.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

{0,1,2,3} set builder notation

Answers

The set {0,1,2,3} as a set builder notation is {x ∈ N | 0 <= x <= 3}

How to determine the set using set builder

From the question, we have the following parameters that can be used in our computation:

Set = {0, 1, 2, 3}

As a general rule:

The set-builder notation is a notation that describes a set by representing its elements or explaining the properties that its members must satisfy

Using a set builder notation, we have the following representation

{x | x ∈ {0, 1, 2, 3}}

It can also be represented as

{x ∈ N | 0 <= x <= 3}

where N is the set of all natural numbers.

Read more about set builder at

https://brainly.com/question/17248828

#SPJ1

Mariam wants to rent out her house. She researches similar listings in an online rental marketplace and sees that she can rent her home for $210$ per night or $1300 per month. Mariam's house is near a beach in a moderate-sized city with good weather year-round, a famous aquarium, a water park, and lots of restaurants.
To figure out if she should list her home as a short-term rental or a long-term rental, first Mariam divides 1300 by 210.
1300/210=6.2
She needs to rent her home 6-7 nights per month to match the revenue from a long-term rental. Since Mariam lives in a location likely to have tourists, she should find plenty of renters. She lists her home as a short-term rental.
In her reasoning, Mariam divided 1300 by 210. If this is correct, explain why. If this is not correct, explain what she should have done.

Answers

This is absolutely correct as dividing the rate per month by the rate per night gives the number of nights per month needed for the revenues to match: [tex]$$month$\div $night=r/month \cdot \ $night/r$=# $nights/month$$[/tex]

What is revenue?

A company's income is the cash that is generated by its operations. Depending on the accounting technique used, there are various methods for calculating revenue.

Sales made with credit will be counted as revenue when it comes to the delivery of goods or services to the customer in accrual accounting. Even if payment hasn't yet been received, revenue may still be recognised in accordance with certain rules.

To evaluate how successfully a business collects debt, it is important to review the cash flow statement. Contrarily, sales are only recorded as revenue in cash accounting after money has been exchanged. A "receipt" is the term for a sum of money given to a business. Receivables without income are possible.

Learn more about revenue

https://brainly.com/question/8645356

#SPJ4

Can somebody help me? I am learning about Basic Exponent Properties in Algebra and I do not understand how to solve equations with exponents. Please tell me how to do it?
Here are some examples:
1. (4xy²)(-2x²y³)
2. 6y³/18x · 2xy
3. Which expression has the greater value? 2³ · 2(exponent 5) or 4(exponent 7)/4³
4. (3x)exponent1/3 · (3x)exponent7/3 / (3x)exponent2/3
Please Answer ASAP!! I will give 40 points!!

Answers

Answer:

Provided an explanation below.

The examples are not asking you to solve, only to simplify the expression

For the examples you posted, not sure if you want the solutions are not; I have gone ahead and simplified

[tex]1.\; -8x^3y^5\\\\2\; \dfrac{2y^3}{3}\\\\3.\; They are both equal\\\\4.\; 3x^2\\\\[/tex]

Step-by-step explanation:

First let's understand what an exponent is.

When a number or a term or an expression is multiplied repeatedly by itself, an exponent can be used to represent this situation

for example,

5 x 5 x 5 x 5 x 5 x 5 = 5⁶ since 5 is multiplied by itself 6 times

Here the number being multiplied(5) is called the base and the number of times it is multiplied(6) is called the exponent.

There are some rules regarding exponentiation


1 Zero Exponent

Any number raised to the power zero is 1

[tex]4^0 = 1\\\\123.456^0 = 1\\\\x^0 = 1[/tex]

2. Negative Exponent
If the exponent if negative, the expression is equivalent to the reciprocal of the term raised to the positive exponent

In general

[tex]a^{-m} = \dfrac{1}{a^m}\\\\and\\\\\dfrac{1}{a^{-m}} = a^m\\\\[/tex]

Examples:

[tex]x^-1 = \dfrac{1}{x}\\\\\left({x + y}\right)^{-a} = \dfrac{1}{(x+y)^a}[/tex]  

[tex]\dfrac{1}{x^{-3}} = x^3[/tex]

3. Product Rule
When you multiply exponents with the same base the exponents get added

In general
[tex]\displaystyle {a^m a^n = a^{m + n}}[/tex]

Examples

[tex]x^3x^6 = x^{(3+6)} = x^9\\\\[/tex]

4. Quotient Rule

When you divide an exponentiated term by another exponentiated term with the same base the resulting exponent is the difference between the two exponents:

In general

[tex]\dfrac{a^m}{a^n} = a^{m-n[/tex]

Examples

[tex]\dfrac{y^3}{y^2} = y^{3-2} = y^1 = y[/tex]

5. Power Rule 1

An exponent term raised to another power will be the base raised to the product of the two exponents

In general


[tex](a^m)^n = a^{mn}[/tex]

[tex](x^3)^4 = x^{3 \cdot 4} = x^{12}[/tex]

6. Power Rule 2

If the base is the product of two or more terms and the whole expression is raised to a power then each individual term gets raised to that power.

[tex](ab)^m = a^mb^m\\\\(2x^3y^2z^4)^4 = 2^4x^{3.4}y^{2.4}z^{4.4} = 16x^{12}y^8z^{16}[/tex]

7. One exponent
Any term raised to the power 1 is itself
[tex]a^1 = a[/tex]

example: 5¹ = 5

x¹ = x

You may have to use some or all of the rules when confronted with a specific problem

There are plenty of excellent resources on the web which can explain far more lucidly than I can.

Here are a few. Just search for them and you will get the site links
LibreTexts, OpenStax, cK-12.org etc

As for the specific examples you posted:

[tex]1. (4xy^2)(-2x^2y3)\\[/tex]

Multiply the constant coefficients: 4 x -2 = -8Multiply each term with the same base by the other term with the same base
[tex]x\cdot x^2 =x^1x^2 = x^{1 + 2} = x^3\\\\\\y^2 y3 = y {2 + 3} = y^5\\\\[/tex]
Combine all these to get the final answer:

[tex](4xy^2)(-2x^2y^3) = -8x^3y^5[/tex]

 [tex]\textrm{2. }\dfrac{6y^2}{18x}\cdot 2xy[/tex]

[tex]\mathrm{Cancel\:}\dfrac{6y^2}{18x}:\quad \dfrac{y^2}{3x}\\\\[/tex]
Then the expression becomes
[tex]=\dfrac{y^2}{3x}\cdot \:2xy[/tex][tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \:a\cdot \dfrac{b}{c}=\dfrac{a\cdot \:b}{c}[/tex]

[tex]\dfrac{y^2}{3x}\cdot \:2xy = =\dfrac{y^2\cdot \:2xy}{3x}[/tex]
Cancel the x above and the x below to get

[tex]\dfrac{y^2\cdot \:2y}{3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]y^2y=y^{2+1} = y^3[/tex]
Putting all the terms together we get
[tex]\textrm{2. }\dfrac{6y^2}{18x}\cdot 2xy =\dfrac{2y^3}{3}[/tex]

3. Which expression has the greater value?
[tex]2^3.2^5 \; or\; \dfrac{4^7}{4^3}[/tex]

[tex]2^3\cdot2^5 = 2^8\\\\\dfrac{4^7}{4^3}= 4^{7-3}=4^4\\\\\mathrm{Since \;4 = 2^2, 4^4 = (2^2)^4=2^8}[/tex]

[tex]4. \dfrac{\left(3x^{\frac{1}{3}}\cdot 3x^{\frac{7}{3}}\right)}{3x^{\frac{2}{3}}}[/tex]

[tex]\\\\\\\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
==> [tex]\dfrac{3x^{\frac{1}{3}}x^{\frac{7}{3}}}{x^{\frac{2}{3}}}[/tex]
[tex]\mathrm{Simplify\:}\dfrac{x^{\frac{1}{3}}}{x^{\frac{2}{3}}}[/tex]

[tex]\longrightarrow \dfrac{x^{\frac{1}{3}}}{x^{\frac{2}{3}}} = x^{\frac{1}{3} - \frac{2}{3} }= x^{-\frac{1}{3}} = \dfrac{1}{x^\frac{1}{3}}\\\\\\\longrightarrow \dfrac{3x^{\frac{7}{3}}}{x^{\frac{1}{3}}} =3x^{\frac{7}{3}-\frac{1}{3}} = 3x^2[/tex]

If so, what are the two expressions being cubed? In other words, if the expression is rewritten In the form (p^3 - q^3), what are p and q?

Answers

The two expressions being cubed are p and q. The expression (p^3 - q^3) is equivalent to cubing both p and q. This means that the expression can be written as (p * p * p - q * q * q). Rewriting it in the form (p^3 - q^3) shows that the two expressions being cubed are p and q.

The expression (p^3 - q^3) is equivalent to cubing both p and q. This means that the expression can be written as (p * p * p - q * q * q). Rewriting it in the form (p^3 - q^3) shows that the two expressions being cubed are p and q.

The expression (p^3 - q^3) is the result of cubing two different expressions, p and q. This is equivalent to multiplying each expression by itself three times. Rewriting the expression in the form (p^3 - q^3) indicates that the two expressions being cubed are p and q. In other words, the expression is the result of taking p and raising it to the third power and then taking q and raising it to the third power. The result is then subtracting q^3 from p^3. This is commonly referred to as cubing both p and q, and the two expressions being cubed are p and q.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Which correlation can you draw from the following scatterplot?
a. The warmer the air temperature, the more people there are in the pool.
b. The warmer the air temperature, the fewer people there are in the pool.
c. As the air temperature increased, most people left the pool.
d. There is no visible correlation between air temperature and the number of people in the pool.

Answers

The correlation is that;  The warmer the air temperature, the more people there are in the pool. Option A

What is the correlation?

We know that the correlation would help us to obtain the relationship that we have between the two variables that have been shown in the scatter plot.

The correlation coefficient is the determinat of the relationship between the variables. As we look at the scatter plot that have been shown here, we would need to use it to know the way that the air temperature and the people in the pool are related.

Learn more about correlation:https://brainly.com/question/30116167

#SPJ1

At what height above the surface of the earth, the value of g becomes 64% of its value on the surface is the earth? (Radius of the earth is 6400km )
O 1600kmO 2650kmO 3200kmO 9038km

Answers

The value of g becomes 64% of its value on the surface of the earth when it is at a height of 3200km above the surface, with the radius of the earth being 6400km.

Radius of Earth = 6400 km

Height above the surface of Earth = 3200 km

Gravitational Acceleration on surface of Earth = 9.8 m/s2

Gravitational Acceleration at 3200 km above the surface of Earth = 9.8 x 0.64 = 6.272 m/s2

The gravitational acceleration (g) on the surface of the earth is 9.8 m/s2. This value is constant, regardless of the height of an object above the surface. However, as the height of an object increases, the gravitational force experienced by the object decreases. The radius of the earth is 6400 km, so at a height of 3200 km above the surface, the gravitational acceleration experienced by an object is 64% of its value on the surface of the earth, which is 6.272 m/s2. This is because the gravitational force decreases as the object moves further away from the surface, and at 3200 km the force is only 64% of the force at the surface.

Learn more about radius here

https://brainly.com/question/15047456

#SPJ4

Relationships between short- and long-term exposure to violent video games and desensitization, as measured through components of moral evaluation, were examined. Sixty-six children aged 5-12 years old completed questionnaires assessing video game experience and preferences and empathy and attitudes toward violence. The children played a violent or nonviolent video game and then responded to vignettes about everyday occurrences. Vignette responses were coded for aggression and empathy. Preexisting empathy and attitudes towards violence were positively related to the corresponding vignette scores. Long-term exposure to violent video games contributed to lower empathy vignette scores. Playing a violent versus a nonviolent game did not affect vignette responses. Results suggest that long-term exposure to violent video games may be associated with desensitization as reflected in lower empathy, although the direction of causality remains unclear.What is the main IV?What is the main DV?

Answers

This study examines the relationship between long-term exposure to violent video games and desensitization as measured by empathy and attitudes to violence in children aged 5 to 12 years.

They completed a questionnaire assessing their experience and preference for video games and their empathy and attitudes toward violence. Children then played violent or non-violent video games and responded to snippets of everyday events.

vignette reactions were coded for aggression and empathy. Results showed that pre-existing empathy and attitudes toward violence were positively associated with the corresponding vignette scores.

Prolonged exposure to violent video games has been found to reduce empathy vignette scores. However, the study found no significant difference in vignette responses depending on whether children played violent or non-violent games.

To learn more about desensitization at

https://brainly.com/question/22953976?referrer=searchResults

#SPJ4

find all solutions $x$ of the inequality$$\frac{5}{24} \left|x-\frac{11}{48}\right| < \frac{5}{16}.$$

Answers

The solutions are all real numbers x such that [tex]$$\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16} \qquad \text{and} \qquad \frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}.$$[/tex]

This is equivalent to

[tex]$$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$[/tex]

Solving for $x$, we get

[tex]$$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$[/tex]

1. We are given the inequality[tex]$\frac{5}{24} \left|x-\frac{11}{48}\right| < \frac{5}{16}$.[/tex]

2. To solve for $x$, we must first rewrite the expression in terms of two inequalities. We do this by separating the absolute value into two parts: [tex]\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16}$ and $\frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}$.[/tex]

3. Next, we solve each inequality for $x$. We get [tex]-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}$.[/tex]

4. Finally, we solve for $x$ and get the solution set [tex]\frac{13}{48} < x < \frac{25}{48}$.[/tex]

learn more about solution here

https://brainly.com/question/30109489

#SPJ4

Factor the trinomial by grouping. -
5x² - 28x+15
a. Find two numbers whose product is 5.15= 75 and whose sum is - 28.
b. Write - 28x using the factors from part (a).
c. Factor by grouping.

Answers

a. The two numbers whose product is 75 and whose sum is -28 are -25 and 3.

b. -28x = -25x + 3x

c. -5x² - 25x + 3x + 15

= -5x(x-5) + 3(x-5)

= (3x-15) + (-5x+25)

= (-5x+3x) + (25-15)

= -2x +10

The trinomial -5x² - 28x + 15 can be factored by grouping as (-2x+10)

in the expansion of (2a 4b)8, which of the following are possible variable terms? explain your reasoning. a2b3; a8; a5b3; ab8; a3b5; a7b; a6b5; b8

Answers

The possible variable terms are a2b3, a5b3, ab8, a3b5, a7b, and a6b5. These terms all contain the same number of a's and b's as the original expression, (2a4b)8.

The expansion of (2a 4b)8 can be found by multiplying the a coefficients and b coefficients by 8. The a coefficients would increase by a factor of 8 and the b coefficients would increase by a factor of 8. This means that the possible variable terms for (2a 4b)8 are all those that have 8 a's and 8 b's. This includes a2b3, a5b3, ab8, a3b5, a7b, and a6b5. These terms all contain the same number of a's and b's as the original expression, (2a4b)8, but with the coefficients multiplied by 8. For example, the term a2b3 would be the result of multiplying 2a4b by 8, which results in 16a32b. This can be simplified to a2b3. Similarly, a5b3 would be the result of multiplying 2a4b by 8, which results in 16a32b. This can be simplified to a5b3.

Learn more about variable here

https://brainly.com/question/29583350

#SPJ4

Find the least common denominator of 1/2x-6 and 2x/7x-21.

Answers

The least common denominator of 1/2x-6 and 2x/7x-21 is (2x -6)(7x - 21)

What is a fraction?

A fraction can be described as the part of a whole variable, element or number.

There are some number of fractions in mathematics which includes;

Complex fractionsImproper fractionsProper fractionsSimple fractionsMixed fractions

Examples of simple fractions 1/2, 1/3

Examples of proper fractions; 3/4, 5/6

Examples of improper fractions; 4/3, 6/3

Examples of mixed fractions; 1 2/3, 5 4/6

From the information given,

1/2x-6 and 2x/7x-21

The least common denominator is (2x -6)(7x - 21)

Hence, the value is (2x -6)(7x - 21)

Learn more about fractions here:

https://brainly.com/question/11562149

#SPJ1

an even number. each card is worth a different number of points (this point value is written on the card). alice and bob then take turns removing either the leftmost or rightmost card from the row, until all the cards are gone. at that point, the player who has collected the most points is declared the winner.

Answers

The best strategy for Alice is to take the card with the highest point value. This will maximize her chances of winning, since she can then choose the last card from the remaining cards. Bob should take the card with the lowest point value, as this will minimize Alice's chances of winning.

Alice always takes the first turn. Bob can either take the leftmost card or the rightmost card. If Alice takes the leftmost card and Bob takes the rightmost card, then Alice will have the advantage of being able to make the last move. If Bob takes the leftmost card and Alice takes the rightmost card, then Bob will have the advantage of being able to make the last move.

The best strategy for Alice is to take the card with the highest point value. This will maximize her chances of winning, since she can then choose the last card from the remaining cards. Bob should take the card with the lowest point value, as this will minimize Alice's chances of winning.

Alice should also be aware of Bob's strategy and try to anticipate what card he will take. If Alice can guess correctly, she can adjust her strategy to ensure she takes the card with the highest point value. If she guesses incorrectly, she should still attempt to take the card with the highest point value.

Alice should take the card with the highest point value and Bob should take the card with the lowest point value. Alice should also anticipate Bob's strategy and adjust accordingly to ensure she takes the card with the highest point value.

Learn more about maximum here

https://brainly.com/question/29156925

#SPJ4

A ball dropped vertically fall d meters in t seconds. D is directly proportional to the square of t the ball drops 80 meters in the first 4 seconds . how far does the ball drop in the next 8 seconds

Answers

The distance the ball drops in the next 8 seconds is 320 meters.

What is direct proportion?

Direct proportion is when two variables move in the same direction. If one variable increases, the other variable increases.

The equation that is used to represent direct proportion is: D = kt²

Where: k is the constant of variation

80 = k4²

80 = 16k

k = 80 / 16

k = 5

Distance the ball drops in the next 8 seconds : 5 x 8²

= 64 x 5 = 320 meters

To learn more about direct variation, please check: https://brainly.com/question/27573249

#SPJ1

65% as a fraction in simplest form

Answers

Answer:

13/20

Step-by-step explanation:

Answer:

65/100

Step-by-step explanation:

65/100 because if you try to divide it by 2 u get 32.5

Which of the following is the graph of the region 1

Answers

The graph of the region 1 <|x - 3| < 4 is a line segment from x = -1 to x = 7.

1. The equation |x - 3| = 1 can be rewritten as x - 3 = 1 or x - 3 = -1.

2. Solving for x, x = 4 or x = 2.

3. The equation |x - 3| = 4 can be rewritten as x - 3 = 4 or x - 3 = -4.

4. Solving for x, x = 7 or x = -1.

5. The graph of the region 1 <|x - 3| < 4 is a line segment from x = -1 to x = 7.

The graph of the region 1 <|x - 3| < 4 is a line segment from x = -1 to x = 7. To find the two endpoints of the line segment, we need to solve for x in the equations |x - 3| = 1 and |x - 3| = 4. The equation |x - 3| = 1 can be rewritten as x - 3 = 1 or x - 3 = -1, and solving for x gives us x = 4 or x = 2. The equation |x - 3| = 4 can be rewritten as x - 3 = 4 or x - 3 = -4 and solving for x gives us x = 7 or x = -1. Therefore, the graph of the region 1 <|x - 3| < 4 is a line segment from x = -1 to x = 7.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

the complete question is

Which of the following is the graph of the region 1 <|x - 3| < 4

Mike is loading a moving van by walking up a ramp. The ramp is 10 feet long and the bed of the van is 2.5 feet above the ground. How far does the ramp extend past the back of the van?

Answers

Using the Pythagorean theorem, the ramp extends 9.68 feet past the back of the van.

What is the Pythagorean theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples. Pythagoras theorem is basically used to find the length of an unknown side and the angle of a triangle. By this theorem, we can derive the base, perpendicular and hypotenuse formulas.

Pythagoras formula:-

Hypotenuse² = Perpendicular² + Base²

c² = a² + b²

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse

Now,

For given situation,

Hypotenuse=10feet, perpendicular=2.5feet and we have to find base

Therefore

10^2=b^2+2.5^2

b^2=100-6.25

b=√93.75

b=9.68 feet

Hence,

The ramp extends 9.68 feet past the back of the van.

To know more about Pythagorean theorem visit the link

brainly.com/question/343682?referrer=searchResults

#SPJ1

Other Questions
Which of these is the best example of a primary group? * a. the people working together in the same department b. a sociology class c. a jury A patient's electrocardiogram report describes the presence of significant Q waves. This finding is suggestive of which of the following conditions?1. Premature atrial complex2. Myocardial infarction3. Supraventricular tachycardia4. Atrial fibrillation A rake i held o that it input arm i 0. 4 meter and it output arm i 1. 0 meter. What i the mechanical advantage of the rake? The ue of alcohol to handle iue uch a negative feeling or difficulty leeping i called A. A co-occurring diorder. B. Elf-medication. C. Enabling. D. Inhibition Which of the following is true regarding sign of heat and work?A.Heat absorbed by the system has positive sign. Heat released to the surrounding has negative sign. Work done on the system has positive sign. Work done by the system has negative sign.B.Heat absorbed by the system has negative sign. Heat released to the surrounding has positive sign. Work done on the system has positive sign. Work done by the system has negative sign.C.Heat absorbed by the system has negative sign. Heat released to the surrounding has positive sign. Work done on the system has negative sign. Work done by the system has positive sign.D.Heat absorbed by the system has positive sign. Heat released to the surrounding has negative sign. Work done on the system has negative sign. Work done by the system has positive sign. The last paragraph in Martin Luther's letter."Let us all hope that the dark clouds of racial prejudice will soon pass away."The quote meaning and which of the rhetorical devices is this. Metaphor or simile, or personification or what, please help. 35/k=7/3help plesetank you 6. When and where did Dr. King deliver his famous "I Have a Dream" speech? Identify each thesis statement as strong or weak. Explain your reasoning with at least three sentences. How do you test for RNA levels?. When the degree of a polynomial is 2 it is called *?. group 10,period 6 name element Ayala is making salad dressing. She mixes oil and vinegar in a blender until a smooth consistency is formed. Explain whether this is a heterogeneous or a homogeneous mixture and why. Exsplain Person most involved and impacted by the conflict of the story.Group of answer choicesmain character1st person narrativeclimaxinternal conflict Click and drag on elements in order Place the steps required to complete a work sheet in the correct order, with the first step at the top. Instructions Prepare the adjusted trial balance. Total the financial statement columns. Enter the unadjusted trial balance. Enter the adjustments. Sort the (adjusted) trial balance amounts to financial statements, Calculate profit or loss and add to the Balance Sheet columns Rotate 180 about the origin to which category does galaxy #8 belong? why does it belong in this category? You toss a marble straight upward. Which of the following statements best describes the motion of the marble at the point where it reaches its maximum height?A) At its maximum height, the marble has a velocity of 9.8 m/s downward.B)At its maximum height, the marble has an upward velocity for an infinitesimal (zero-length) amount of time.C)At its maximum height, the marble has a velocity of zero for an infinitesimal (zero-length) amount of time What would you say is the two most basic reasons why reading is such an important competence in our lives?. economists are particularly adept at understanding that people respond to