What is 2+2 - 5 + 42 - 64 (5 x 5) - 32 x 1/2 + 6/5 * 2^5

No, the statement the surface area of Cube B is also twice that of Cube A, is False.

Cube A is of 2 by 2 by 2

So the length of each side of Cube A is 2 units

So the surface area of Cube A = 6*2*2 = 24 square units

Cube B is of 4 by 4 by 4

So each side length of Cube B is 4 units

So the surface area of Cube B = 6*4*4 = 96 square units

So Surface area of Cube B is = 96/24 = 4 times of surface area of Cube A.

So the given statement is not true.

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The equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) is 4x+3y = 24

The standard form of equation of line is y=m x+ b

where m is slope of line and b is y-intercept.

According to the question,

The required line is parallel to line whose equation is 4x + 3y = 12

Slope of given line =

3y = 12 - 4x

dividing by 3 both sides,

y = 12/3 - 4/3x

=> y = 4 - 4/3x

Slope of given line = -4/3

If two lines are parallel their slopes are equal to each other

Hence , Slope of required line : m = -4/3

Equation of line : y = -4/3x + b ------------(1)

It is given that required line also passes through the point = (3,4)

substituting the values of x = 3 and y=4 in equation (1)

=> (4) = (-4/3)(3) + b

=> 4 = -4 +b

=> b = 8

Substituting the value of b,

The equation of required line is y = -4/3x + 8

multiplying by 3 both sides,

3y = -4x + 24

=> 4x+3y = 24

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Answer:

2.  29°

3.  62°

4.  3

Step-by-step explanation:

Question 2

Interior angles of a triangle sum to 180°.

⇒ x + 57° + 94° = 180°

⇒ x + 151° = 180°

⇒ x + 151° - 151° = 180° - 151°

⇒ x = 29°

Question 3

Interior angles of a triangle sum to 180°.

⇒ x + 31° + 87° = 180°

⇒ x + 118° = 180°

⇒ x + 118° - 118° = 180° - 118°

⇒ x = 62°

Question 4

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (10x + 2)° = (2x + 1)° + 25°

⇒ 10x + 2 = 2x + 1 + 25

⇒ 10x + 2 = 2x + 26

⇒ 10x + 2 - 2x = 2x + 26 - 2x

⇒ 8x + 2 = 26

⇒ 8x + 2 - 2 = 26 - 2

⇒ 8x = 24

⇒ 8x ÷ 8 = 24 ÷ 8

⇒ x = 3

Answer:

Step-by-step explanation:

Area of triangle equation:

Find the value of h, using given values:

Use Pythagorean and find the missing side s of the triangle:

Find the perimeter of this isosceles triangle:

The perimeter of the triangle is 70 ft.

A triangle is a polygon with 3 sides.

Given that, the area of the triangle is 168 square feet.

The formula for the area of a triangle with base b and height h is:

A = (1/2)×bh

Substitute A = 168 and b = 14 into the equation:

168= (1/2)×(14)h

168/14 = (1/2)h

12 = (1/2)h

12×2 = h

24 = h

Hence, the height of the triangle is 24 ft.

Let the length of the slant side of the triangle be s.

Use the Pythagorean theorem to find the value of s:

s² = b² + h²

Substitute b= 14 and h = 24 into the equation:

s² = 14² + 24²

s² = 196 + 576

s² = 772

s = √772

s ≈ 28

The length of both slant sides of the triangle is the same, therefore, the perimeter of the triangle is given by:

P = 14 + 28 +28

P = 70

Hence, the perimeter of the triangle is 70 ft.

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Answer:

y= 8

Step-by-step explanation:

y = 8 - 3x

y = 8-3*0

y = 8

Given equation is

[tex]y = 8 - 3x[/tex]

we need to identify the slope and y intercept of this function.

We know that standard form of slope intercept form as

[tex]y = mx + c[/tex]

where ,

We can convert the given equation into standard form as ,

[tex]\longrightarrow y = -3x + 8 [/tex]

On comparing to the standard form, we have ;

And we are done!

Answer: constant of proportionality

Explanation: Assuming that we have two proportional quantities; one is x and one is y. If you know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

The first 4 terms of the sequence are -5, -2, 1, 4

What is a sequence?

A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.

Solution Explained:

Given,  
[tex]a_{1} = -5\\a_{n} = a_{n-1} + 3[/tex]

Assuming n ≥ 2, we get

[tex]a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2[/tex]

[tex]a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1[/tex]

[tex]a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4[/tex]

Hence, the first 4 terms of the sequence are -5, -2, 1, 4

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The term prime factorization refers to any number represented as the product of its prime factors.

For instance, the prime factors that make up the number 60 are listed as follows:

60=2×3×2×2×5

The idea behind prime factorization is to divide the provided whole numbers into their prime factors in order to find the largest common factor and least common multiple of each number.

Procedures for using prime factorization to find the greatest common factor (G.C.F.)

The given numbers should be written as their prime factors.

To find the G.C.F., multiply each of the given numbers by the product of the discovered common factors.

For instance, using the formula below, one may get the largest or greatest common factor between the values 50 and 20.

50 = 2 x 5 x 5

20 = 2 x 2 x 5

The highest common factor is found by multiplying the common prime factors of 50 and 20.

G.C.F = 2 x 5

The greatest common factor of the supplied numbers can then be computed using prime factorization.

Following these steps will help you use prime factorization to find the LCM:

In the form of their prime factors, write the given numbers.

Take the product of the numbers' rare prime factors and discovered common prime factors.

For instance, using prime factorization, the least common multiple of the numbers 50 and 20 can be calculated as follows:

Separately write the prime factors of 50 and 20.

50 = 2 x 5 x 5

20 = 2 x 2 x 5

Multiply the resulting common prime factors (2 and 5) with the remaining uncommon prime factors (2 and 5) to find the least common divisor.

L.C.M = 2 x 2 x 5 x 5

In this way, we can take advantage of prime factorization to compute the least common multiple of a given number.

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Answer:

9

Step-by-step explanation:

(5)3-6(5)+4(3)2

(15-30)+4(3)2

-15+ 24

=9

The best option for Taylor is d. Put in $5000 for your down payment, and choose a loan with a long term length

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, or other entities in finance. The recipient (i.e., the borrower) incurs a debt and is typically required to pay interest on that debt until it is repaid, in addition to repaying the principal amount borrowed.

The document evidencing the debt (for example, a promissory note) will typically specify the principal amount borrowed, the interest rate charged by the lender, and the date of repayment.

In this case, choosing a long term repayment plan will make it easier to pay back.

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The angle of elevation of the sun is 18°.

According to the question,

We have the following information:

A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).

Now, let's take the angle of elevation of the sun to be x°.

Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.

We will use the trigonometric function tan.

Tan x = Perpendicular/base

Tan x = 130/400

Tan x = 0.325

Now, the value of x is 18°.

Hence, the angle of elevation of the sun is 18°.

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If Plan B has a monthly charge of $24 plus an additional charge of $0.05 per minute. The number of minutes of monthly usage that both plans cost the same amount is 160 minutes.

Let x represent the number of minutes of monthly usage

Hence,

Formulate an equation

0.05x + 24 = 32

Combine like terms

0.05x = 32 -24

0.05x = 8

Divide both side by 0.05x

x = 8/0.05

x = 160 minutes

Therefore 160 is the number of minutes.

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The Diagrams 2 and 4 are correct while diagrams 1 and 3 are incorrect.

How to determine similar triangles and trapeziums?

From the given parameters

Triangle 1 has the following features

Let us label the triangle ABCD;

ΔABD is isosceles.

The base angles are equal =52⁰

Also, ΔBCD is also isosceles

The base angles are equal =74⁰

∠DBC  is not equal to ∠BAD

Therefore; the image is not correct.

From figure 2

Let it be MNOP;

ΔMNO is isosceles base angles are equal=76⁰

∠MNO  is not equal to ∠MOP=28⁰

From figure 3

A Plane geometry deals with flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles.

The image does not resemble these shapes.

therefore it is incorrect.

From figure 4

A trapezium is a quadrilateral with exactly one pair of opposite sides parallel to each other.

∠ACB=∠ABC=27⁰

The triangles on opposite sides are equal to each other.

Therefore the image is correct.

In conclusion, images 2 and 4 are correct while images 1 and 3 are incorrect.

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M = 5 - 4i

J = 3 + 2i

J* = -3 + 2i (Conjugate)

Therefore M + J*

= (5 + -3) + (-4i + 2i)

= 2 - 2i

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

line 1

3y = 6x + 5 ( divide through by 3 )

y = 2x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = 2

line 2

y - 2x = 1 ( add 2x to both sides )

y = 2x + 1 ← in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes

then line 1 and line 2 are parallel

Answer:  when it is morning time to get up and you put your clothes and your shoe and your backpack and your  coat and you wait for the bus

Step-by-step explanation:

According to the given linear equation depth of the dive is 17.59 feet.

What is linear equation?

   A linear equation is also known as a one degree equation. The linear equation's highest power is 1. Linear equations are equations with variables on both sides that are multiplied by a constant.

Here the given linear equation is ,

=> y = 0.25+5.78t

Here t is time in seconds which is t=3 seconds.

Put t=3 sec into linear equation then,

=>y=0.25+5.78*3

=>y= 0.25+17.34

=>y=17.59.

Hence depth of the dive is 17.59 feet.

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If Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes

Time taken for each lap = 6 minutes

Number of laps that she run today = less than 8 laps

The possible number of minutes that she will run today ≤ Time taken for each lap × Number of laps that she run today

Here we have to use the inequality

The inequality is defined as the relation ship between two variables that is not equal. The inequality operations are less than, greater than, less than or equal to, greater than or equal to etc..

The possible number of minutes that she will run today ≤ 6 × 8

≤ 48 minutes

Hence, if Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes

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The graph of the proportional relationship is (c) A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

From the question, we have

It costs $20.70 for 23 pounds of laundry and $34.20 for 38 pounds of laundry

This means that

(x, y) = (20.70, 23) and (34.20, 38)

Where

x = Weight and y = Cost

From the question, we understand that

The graph is a proportional graph

This means that the line passes through the origin

So, we have

(x, y) = (0, 0), (20.70, 23) and (34.20, 38)

Remove one of the points

(x, y) = (0, 0) and (34.20, 38)

Hence, the graph of the proportional relationship is (c)

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Answer:

The graph of the proportional relationship is (c) A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

I took the exam and got it right

A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.

As we know that,

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.

So n has the same probability of being selected.

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The right question is

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

n has a probability of 0.5 of being selected.

n has the same probability of being selected.

N and n have the same probability of being selected.

n has a probability of 0.05 of being selected.

Using the equation of the model:

a. 7.8 billions of pounds

b. 9.8 billions of pounds.

In the above problem given, the equation, y = 7.1(1.03)^x models the cheese production in the country, where:

a. 2006 after 2003 is 3 years. Substitute x = 3 into the equation, y = 7.1(1.03)^x:

y = 7.1(1.03)^3

y = 7.8

Total cheese produced in 2003 was about: 7.8 billions of pounds

b. 2014 after 2003 is 11 years. Substitute x = 11 into the equation, y = 7.1(1.03)^x:

y = 7.1(1.03)^11

y = 9.8

Total cheese that would be produced in 2014 will be about: 9.8 billions of pounds.

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Answer:

12:18

Step-by-step explanation:

Yan te ok na ata yan

Answer:

12:18

Step-by-step explanation:

You have 12 banana muffins, and 18 squid ball's.

Put it in ratio form. so it's B:S in name form, so the final answer will be 12:18.

If you put it in this form S:B, then the answer will be 18:12.

Goodluck!

Answer:

25 and 12

Step-by-step explanation:

1/2 of 50 = can be rewritten as (1/2)*(50) = (50/2) = 25

1/3 of 36 = can be rewritten as (1/3)*(36) = (36/3)  =  12

Answer:

1/2 of 50 could also be re-written as 1

___ × 50

2

So to solve this we need to multiply 1 by 50

like this 50×1

which is equal to 50 i.e 50 × 1 = 50

the next step is to then divide by 2

i.e 50

___ = 25

2

this is so because there are simply 2 25s in 50

So i guess you should be able to do the second one

Jaane

In linear equation,  the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

What are examples of linear equations?

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment.

The of water in the pool now is  

              63% of 660,000   = 415,800 gallons

If the pool is 90% full then the amount of water in the pool is

        90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

                      = 594000  -  415800

                       = 178200

Thus, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

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Answer:

63

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

[tex]\frac{CE}{DE}=\frac{FE}{GE} \\ \\ \frac{8x-1}{6x+3}=\frac{21}{17} \\ \\ 17(8x-1)=21(6x+3) \\ \\ 136x-17=126x+63 \\ \\ 10x=80 \\ \\ x=8 \\ \\ CE=8(8)-1=63[/tex]

Angle between hour hand and minutes hand is 60 degrees.

What is angle ?

An angle is a shape created by two rays or lines that have a shared termination.

Main Body:

As a clock is complete circle , total angle created by it is 360 degrees.

Numbers of hours in a clock = 12

Angle created by 1 hour = total angle / total no. of hours

                                        = 360/12

                                        = 30 degrees.

Now according to the question total hours = 2

multiplying 2 with degrees between 1 hour hand and minute hand.

Hence total angle created by hour and minute hand id 60 degrees.

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Answer:ummm it could be oh yea so true

Step-by-step explanation:

By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.

Given,

Polynomial function,

-125w² + 180 = 0

-125w² = -180

w² = 180/125

w² = 1.44

Squaring,

w = √1.44

w = 1.2

By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

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Answer:

x=− 21=−0.5y=y 2 − 21

​

Step-by-step explanation: