Find the unit rate. Round to the nearest hundredth, if necessary.
$310 for 12 ft²
The unit rate is $
//ft²

A cardboard box in the shape of cube has volume of 400 cubic inches, then the length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.

Based on the given conditions,

A cardboard box in the shape of cube has volume of 400 cubic inches.

One side of the box  = s inches

Given expression,

[tex]s^{3}[/tex] = 400

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

So,

We can write,

[tex]s^{3}[/tex] = 400

s = [tex]\sqrt[3]{400}[/tex]

We can express 400 as 2 × 2 × 2 × 2 × 5 × 5

That is,

[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{2*2*2*2*5*5}[/tex]

[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{(2*2*2)*2*5*5}[/tex]

[tex]\sqrt[3]{400}[/tex] = [tex]2*\sqrt[3]{50}[/tex]

[tex]\sqrt[3]{400}[/tex]  = 7.36806.

[tex]\sqrt[3]{400}[/tex] ≅ 7.4

Hence,

The value of the cube root of 400 is 7.36806 inches

Therefore,

The length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.

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It is important to know that the definition of the parabola is

Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x

But, the wide of the lamp is 2x, so

The length of the fence that corresponds to the cost of fencing respectively is =

Length of fencing (ft): 2, 8, 5, 7, 10

Cost of fencing ($): 18, 72, 45, 63, 90.

Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.

The cost of every 2 feets of the fence Heather is building is = $18

If 2ft = 18

8ft = ×

Make X the subject of formula,

X = 8 × 18/2

X= 4×18 = $72

If 2ft = 18

5ft = ×

Make X the subject of formula,

X = 5 ×18/2

X = 5×9

X = $45

If 2ft = 18

7 ft = ×

Make X the subject of formula,

X = 7× 18/2

X = 7× 9=$ 63

If 2ft = 18

10ft = X

Make X the subject of formula,

X = 10 × 18/2

X= 10× 9

X = $90

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The expression written as a single power(exponent) is 9⁶ .

Exponentiation, abbreviated as bⁿ, is a mathematical process that involves the base number (b) and the exponent (or power) number (n). The word is pronounced "b (elevated) to the (power of) n."

the given expression is of the form:

9⁶÷9³

Which is equivalent to:

9⁶⁻³ (properties of exponents)

this is equal to 9⁶ .

The value of the expression is 9⁶ .

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Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.

To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.

The responses given were:

5, 10, 12, 10, 12, 6

When ordered we get:

5, 6, 10, 10, 12, 12

The middle number is found by the formula:

= (Middle number₁ + Middle number₂) / 2

= (10 + 10) / 2

= 10 hours

To find the mean, simple add up all the responses and then divide by the number of students:

= (5 + 6 + 10 + 10 + 12 + 12) / 6 student

= 55 / 6

= 9. 2 hours

The question is:

find median and the mean number of hours for these students

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The correct representation of the function with point ( 4, 5 ) is f(4) = 5.

A function called f is defined by the notation y = f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

A mathematical statement known as an equation demonstrates the equality of two mathematical expressions.

Now a point on the graph is ( x, y ).

Consider the point ( 4, 5 ),

Then. x = 4 and y = 5.

So, the correct representation of a function will be:

y = f(x)

5 = f(4)

Therefore the correct representation of the function is (c) f(4) = 5.

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The coordinates of vertex A' is (4,4).

It is given in the question that:-

A triangle ABC with vertices:-

A (-4,4),

B (-2,4) and,
C  (-5,2).

We have to find the coordinates of vertex A' if triangle ABC is reflected across the y-axis to produce the image triangle A'B'C'.

If triangle ABC is reflected across the y-axis to produce the image triangle A'B'C' , it will be a mirror image of triangle ABC.

Hence, if the x coordinate is x then its image will be -x whereas the y -coordinate will remain the same.

Hence, the image of A (-4,4) will be A'(4,4).

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Answer:y=2x−6

Step-by-step explanation:

Answer:

Yes she did!

Step-by-step explanation:

1000g = 1kg
meaning
1100 / 1000 = 1.1kg

The shortest straights path for run to get back to the starting line will be;

⇒ √40

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

Runners at cross country meet run 6 miles east and again 2 miles south from the starting line.

Now,

We can apply the Pythagoras theorem to find the shortest straights path.

Hence,

Shortest straights path. = √6² + 2²

                                    = √36 + 4

                                    = √40

Thus, The shortest straights path for run to get back to the starting line will be;

⇒ √40

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Answer: square root of 40

Step-by-step explanation:

did the quiz!

Ax + By = C is the standard form of the line equation, where A and B are constants.

As a result, a linear equation with x and y variables has the standard form: Ax + By = C, in which A, C and B are constant.

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ANSWER :

The answer is :

EXPLANATION :

From the problem, we have :

The whole numbers will be added directly.

For the fraction part, the numerator is added and the denominator will stay the same.

That will be :

The constant rate of change for an ear of corn at the grocery store is $0.30.

The constant rate of change describes the slope of a linear relationship.

The constant rate of change is the constant ratio of the output to the input in the function.

We can compute the constant rate of change by forming a set of simultaneous equations from the given variables.

Total Costs of Ears of Corn:

5 ears = $1.50 ... Equation 1 = 5c = $1.50

8 ears = $2.40 ... Equation 2 = 8c = $2.40

Subtract Equation 1 from Equation 2:

Difference = 3c = $0.90 ($2.40 - $1.50)

c = $0.30 ($0.90/3)

Constant rate of change = $0.30

Thus, the constant rate of change implies that each ear of corn at the grocery costs $0.30.

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The measure of the unknow angle is as follows;

When parallel lines are cut by a transversal lines, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, line m and n are the parallel lines while the transversal line is line t.

Therefore, ∠7 is an alternate exterior angle to the angle 47 degrees.

Alternate exterior angles are congruent.

Therefore,

∠7 = 47 degrees.  

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Answer:

The answer is -576

Step-by-step explanation:

-24×+24

–×+= –

-24×24= -576

The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The function is

p(t)=4+2(t−1)

We know the nth term of the arithmetic sequence is

an = a + (n-1)d

By comparing the nth term of the arithmetic sequence and the given function

The first term a = 4

The common difference d = 2

The value of n = t

Hence, the function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The complete question is :

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

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Answer:

  see attached

Step-by-step explanation:

You want a graph of the relationship shown in the table ...

The attached graph shows a plot of the points in the table, and a line through them. The equation of the line is ...

   y = 3x

where x is the inches of ribbon, and y is the inches of string.

Using a proportional relationship, the expression that represents the net change to Callie’s account balance each month is:

y = -104.12x.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as presented as follows:

y = kx

In this problem, we have that she is billed $416.48 in 4 months, hence the monthly payments are given as follows:

k = 416.48/4

k = 104.12.

This is the amount taken away from the account each month, hence the constant is negative and the expression is given as follows:

y = -104.12x.

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.

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===================================================

Explanation:

sigma = 120 = population standard deviation

n = 25 = sample size

sigma/sqrt(n) = standard deviation of the xbar distribution

sigma/sqrt(n) = 120/sqrt(25) = 24

The standard deviation of the sampling distribution of the mean for this sample is 24. Rephrased, the standard deviation of the xbar distribution is 24.

To get the variance, we square the standard deviation

variance = (standard deviation)^2

variance = 24^2

variance = 576

Keep in mind this is the variance of the xbar distribution, and not the original underlying distribution it came from.

Answer: it’s 0.1% there’s no precent for it that’s greater than 100 but less than 1

Step-by-step explanation:

The number that is a factor of 40 and when you pair it with 15 you have an LCM of 15 is; 5

LCM in mathematics simply means Least Common Multiple which is defined as the least common multiple of two numbers is the very lowest possible number that is divisible by both numbers.

Now, we are told that it is a factor of 40. Let us first list the factors of 40.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Now, since you will pair it with 15, the number also has to be a factor of 15 because only a number that is a factor of 15 can have 15 as a multiple.

Factors of 15 are; 1, 3, 5, 15

Now, the only number that is common to both 40 and 15 are 1 and 5. However we are told that it is not 1. Thus, the number is 5.

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Answer:

?

Step-by-step explanation:

what are the steps and I can help you

Answer:

[tex]g(x)=|x-2|+10[/tex]

Step-by-step explanation:

Translations

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

Given absolute value function:

[tex]f(x)=|x|[/tex]

To translate the given function 2 units to the right, subtract 2 from the x-value:

[tex]\implies f(x-2)=|x-2|[/tex]

Then to translate the given function 10 units up, add 10 to the function:

[tex]\implies f(x-2)+10=|x-2|+10[/tex]

Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:

[tex]\large\boxed{g(x)=|x-2|+10}[/tex]

a) The center of expansion is at point P.

b) Triangle B is the reduction of A with a scale factor of about 3.

c) Triangle A is a reduction of B with a scale factor of about 13.

d) Triangle B is a miniature of C with a scale factor of approximately 23.

The scale factor is the ratio of change that occurs due to a change in the size of the shape.

Scale factor = Measurement of a new object ÷ Measurement of an old object

The dilation in scale factor from triangle A to triangle B could be assumed as (6 ÷ 2) + 10 = 13 from the point of dilation that is P.

Similarly, the dilation of triangle B to triangle C is lesser compared to triangle A to triangle B which could be assumed as 23.

When using the dilation approximation, the length of the side starting at the nearest point A is 2 cm. The corresponding segment length of B is approximately 6 cm. The scale factor is approximately 6 ÷ 2 = 3.

Similarly, triangles B and C can be considered equal to 13 and 23, respectively.

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Answer: 1170 towels

Step-by-step explanation:

Let x be the no. of towels that can be made in a month

The equation for total cost then becomes,

3020 = 1850 + 1x
1170 = 1x

x = 1170 towels