please help asap!!!!!!!!!!!!!!!!!!!!!!!

The equations are listed below:

In this problem we find fourteen cases of sentences that must be translated into mathematical expressions, that is, expressions that involve constants, variables and operators. Now we proceed to present the result of each case:

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Answer:

11×45-11×21

Step-by-step explanation:

multiply the number outside the bracket with the each number inside the bracket

Answer:

see explanation

Step-by-step explanation:

(8x - 75) and (5x) are vertically opposite angles and are congruent , then

8x - 75 = 5x ( subtract 5x from both sides )

3x - 75 = 0 ( add 75 to both sides )

3x = 75 ( divide both sides by 3 )

x = 25

Then

5x = 5(25) = 125°

8x - 75 = 8(25) - 75 = 200 - 75 = 125°

Answer: (5x)°=(8x-75)°=125°

Step-by-step explanation:

Property of vertical angles: vertical angles are equal

Hence,

[tex](8x-75)^0=(5x)^0\\(8x)^0-75^0=(5x)^0\\(8x)^0-75^0-(5x)^0=(5x)^0-(5x)^0\\(3x)^0-75^0=0\\(3x)^0-75^0+75^0=0+75^0\\(3x)^0=75^0\\[/tex]

Divide both parts of the equation by 3 :

[tex]x^0=25^0\\(5x)^0=(5*25)^0\\(5x)^0=125^0[/tex]

Yes; The jenni write the converse statement properly. it is an equilateral triangle.

A statement is a declarative sentence that is either true or false but not both. It is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

We have been Given that each angle of a triangle measures 60°, then the sum of the measures of all the angles is 180°.

And the converse is that the sum of all the angles inside of a triangle is 180°, then each angle measures 60°.

However,  we know that the sum of all angles of an equilateral triangle is 180. each having 60 degrees.

The jenni write the converse statement properly.

Therefore, the correct statement is Yes; an equilateral triangle.

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Answer:

d. Yes; a scalene triangle

Step-by-step explanation:

The value of n in the equation is -6

The first step is to write out the equation

8n +2 = 7n-4

collect the like terms

8n-7n = -4-2

n= -6

Hence the value of n is -6

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Answer:

Question 1:

[tex]{ \tt{1 \: in = 2.54 \: cm}} \\ { \tt{5.36 \: in = (5.36 \times 2.54) \: cm}} \\ { \tt{ diameter= 13.6144 \: cm}} \\ \\ { \tt{radius = ( \frac{1}{2} \times 13.6144)}} \\ \\ { \tt{radius = 6.8072 \: cm}}[/tex]

Question 2:

[tex]{ \tt{ \frac{3.00 \times {10}^{8} \: m}{1 \: s} = \frac{( \frac{1}{1609}) \times 3.00 \times {10}^{8} \: mi }{( \frac{1}{3600} ) \: h} }} \\ \\ = { \tt{(1.86 \times {10}^{5}) \times 3600 }} \\ \\ = { \tt{ 6.71 \times {10}^{8} \: mi {h}^{ - 1} }}[/tex]

Question 3;

[tex]{ \tt{ \frac{25.0 \: mi}{1 \: } = \frac{1.609 \times 25.0 \: km}{3.785 \: l} }} \\ \\ { \tt{ = 10.627 \: km {l}^{ - 1} }}[/tex]

Determine whether each infinite geometric series diverges or converges.

If the series converges, state the sum. 1+2+4+ . . .The series diverges.

How to verify the divergence of this series?

[tex]a(\text{ the first term })=1\\\\r(\text{ the common ratio })=\frac{a_2}{a_1} =2[/tex]

Since, [tex]\vert r \vert > 1[/tex] the  infinite series diverges.

What is an infinite geometric series?

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Answer:

x = 2

Step-by-step explanation:

-8x + 10 = -6(x - 1)

-8x + 10 = -6x + 6

+6x          +6x

-2x + 10 = 6

       -10   -10

-2x = -4

÷-2   ÷-2

x = 2

I hope this helps!

The maximum number of 130 kg crates that can be loaded into the shipping container is 137 which is calculated using linear inequality.

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

An example of linear inequality is : 2x+8>18

Linear inequality can be represented using several symbols such as:

<,>,≥ and ≤.

Let us consider there are x number 130 kg crates.

The shipping container can take a maximum weight of 26500 Kilogram.

There is already 7700 kilograms of shipment loaded

Therefore we can write an linear inequality in x such as:

130x+7700 ≤ 256500

Subtracting 7700 from both sides we get:

130x+7700-7700 ≤ 25600-7700

or,130x ≤ 17900

Dividing both sides by 130

or, x ≤ 137.69....

Now we can say as the crates must be whole therefore the maximum number of 130 kg crates that the shipping container can hold is 137.

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Since angle ABC (m∠ABC) is bisected by line BD, the measure of m∠DBC is equal to 44°.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, quadrilateral, rhombus, parallelogram, circle, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.

Since angle ABC is bisected by line BD, we have:

m∠ABD = m∠DBC = m∠ABC/2

m∠ABC/2 = 8x/2 = 4x

Substituting the given parameters into the expression, we have;

m∠ABD = m∠DBC = 4x

2x + 22 = 4x

4x - 2x = 22

2x = 22

x = 22/2

x = 11

Now, we can find m∠DBC as follows:

m∠DBC = 4x

m∠DBC = 4 × 11

m∠DBC = 44°.

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Step-by-step explanation:

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Answer:

Check the attached screenshot! :)

Step-by-step explanation:

Check the attached screenshot! Let me know if you have any questions! :)

Answer:

1 - 3 -2 -4

Step-by-step explanation:

expand them all

.000000092

.058

.0544

2400            so you can see the least to greatest is   1 3 2 4

99 is bigger than 10 therefore stating the video camera has a greater diameter than .1 .

What is an example of diameter?

The diameter of this camera is greater than .1 millimeter because On a ruler, .99 millimeter is farther to the right than .10 millimeters.

Also, and easier way to look at this is taking away the decimal.

99 is bigger than 10 therefore stating the video camera has a greater diameter than .1 .

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In the given expression y - 2x + 7  y and x are the variables, -2 is the coefficient of x and 1 is the coefficient of y and 7 is the constant.

What is a coefficient ?

Any component of a product that is taken into account in relation to another component, particularly a constant component of a term as opposed to a variable.

What is an a variable?

Any qualities, quantity, or number that can be gauged or counted qualifies as a variable. A variable may alternatively be called a data piece. Examples of variables include age, sex, business income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle type.

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The equation for the slant asymptote of g(x) = [tex]\frac{3x^2+5x+6}{x+3}[/tex] is 3x-4

The function, g(x) = [tex]\frac{3x^2+5x+6}{x+3}[/tex]

We need to find its slant asymptote. The slant asymptote is determined by checking [tex]\lim_{x \to \infty}( g(x)-(ax+b)) = 0[/tex] .

So we first divide the polynomial [tex]3x^2+5x+6[/tex] by x+3 to find such an (ax+b).

        3x - 4  

x+3 | [tex]3x^2+5x+6[/tex]

    -   [tex]3x^2+9x[/tex]

---------------------------

       -4x + 6

       -4x - 12   -

--------------------------

               18  

Therefore, [tex]\frac{3x^2+5x+6}{x+3}[/tex] = 3x - 4 + [tex]\frac{18}{x+3}[/tex]

⇒  [tex]\frac{3x^2+5x+6}{x+3}[/tex] - 3x - 4 =  [tex]\frac{18}{x+3}[/tex]

⇒ [tex]\lim_{x \to \infty}(\frac{3x^2+5x+6}{x+3}-(3x-4)) = 0[/tex]  , since [tex]\frac{18}{x+3}[/tex] [tex]\rightarrow \infty[/tex] as [tex]x \rightarrow \infty[/tex].

So the equation for the slant asymptote of g(x) = [tex]\frac{3x^2+5x+6}{x+3}[/tex] is 3x-4

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Explicit expressions help represent all members of a sequence in one expression. The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and each term in the sequence can be computed without knowing the other terms in the sequence.

In general, an explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

Explicit expressions are always used to represent any term in a sequence without describing any other term in the sequence. The meaning of "explicit" is direct, which can be found directly without knowing the other terms in the sequence.

The explicit formula for the sequence of cans will be,

an=a+(n-1)

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Step-by-step explanation:

out of the 3 values, there is for every line one missing. so, we need to use the formula that calculates the missing value out of the other 2.

and based on the density value (in most cases already given in the table) we mark float or sink (as your paper says, if it is smaller than 1g/cm³, it will float, if it is larger, it will sink).

1.

density is missing

D = M/V = 12/0.5 = 12/0.5 × 2/2 = 24/1 = 24 g/cm³

sinks

2.

volume is missing.

V = M/D = 16/0.2 = 80 cm³

floats

3.

mass is missing.

M = D×V = 5×20 = 100 g

sinks

4.

volume is missing.

V = M/D = 0.9/0.3 = 3 cm³

floats

5.

density is missing

D = M/V = 6/4 = 3/2 × 0.5/0.5 = 1.5/1 = 1.5 g/cm³

sinks

6.

density is missing

D = M/V = 8/1.8 = 4.444444444... g/cm³

sinks

7.

mass is missing.

M = D×V = 9×13 = 117 g

sinks

8.

density is missing

D = M/V = 14.7/15 = 0.98 g/cm³

floats

9.

mass is missing.

M = D×V = 2×1.1 = 2.2 g

sinks

10.

volume is missing.

V = M/D = 17/3 = 5.66666666... cm³

sinks

Answer:

0.125

Step-by-step explanation:

It has not been bar notated unlike all of the other ones. Bar notation is used for repeating decimals. So therefore if it has not been bar notated it is not a repeating decimal, it is a terminating decimal. Meaning it ends at the last digit and does not go any further.

Hope this helps!

Answer:46 and 94

Step-by-step explanation:

The required solution is p≤15.

It is required to find the solution.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given :

The given inequality are

|p-4|≤  11

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

By open a modulus we get,

p-4≤11

p≤11+4

p≤15

All the number less or equal to 15 will satisfy the given inequality.

Therefore, the required solution is p≤15.

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Answer:

Y=f(x)

Step-by-step explanation:

The simplified form of expression is -5/7.

To simplify the expression, we will solve the equation to convert them in smallest divisible fraction.

For this, firstly solving the numerator of fraction and then solving the denominator of fraction.

Solving numerator -

Numerator = -11 -4

We will perform addition along with keeping the answer with negative sign

Numerator = -15

Solving denominator -

Denominator = 12 - (-9)

Here two negative signs are present, so we will perform addition. Also, the sign of result will also be positive

Denominator = 12 + 9

Performing addition

Denominator = 21

Now, representing in fraction form to simplify the expression -

Expression = -15/21

Dividing the fraction by 3

Expression = -5/7

Hence, the simplification of given expression is -5/7.

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The first and second vehicle form ΔAOC and ΔBOC are congruent so they will be an isosceles triangle.

A graph is a visual representation of how one variable changes over time in connection to one or more other variables.

We must determine the values of y that correlate to the value of x in order to plot the graph.

The coordinate geometry must then be changed to reflect the values of x and y.

Given the condition making a graph as shown below,

Now in ΔAOC and ΔBOC, the angle x is the same.

Distance AO = BO and CO is common side.

So both triangles will be congruent.

All congruent triangles will be isosceles triangles since all sides are equal which means two sides will be equal.

Hence "The first and second vehicle form ΔAOC and ΔBOC are congruent so they will be an isosceles triangle.".

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Answer:

75.92

Step-by-step explanation:

add 186+59=245

186 is in state so 186/245=75.92

here you gooooooo :))) hope you get it right

Answer:

29

Step-by-step explanation:

2x-10+4x+16=180

6x+6=180

6x=174

x=29

A chord is any circle segment that connects two points. A circle chord is always used as the diameter. The chords AE and DE do not intersect in the center. As a result, they are not diameters.

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The chord of a circle is defined as the line segment connecting any two points on its circumference. It should be noted that the diameter of a circle is the longest chord passing through its center.

A circle chord is a straight line with both ends on a circular arc. A secant line, or simply secant, is the infinite line extension of a chord. A chord is a segment of a line that connects two points on a curve, such as an ellipse.

A chord is any circle segment that connects two points. A circle chord is always used as the diameter. The chords AE and DE do not intersect in the center. As a result, they are not diameters.

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Answer:

correct

Step-by-step explanation:

S has 3 elements - 3, {1, 4}, and 2 - so its power set will contain 2³ = 8 elements. (B)