The length of the rectangular shed is 2x^2 + 3x - 1 feet, and the width is x + 4 feet. Write polynomials that represent the perimeter and area. Calculate the perimeter and area if x = 10 feet. Include correct units of measure

Answer:

Ratios compare two numbers, usually by dividing them If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10

Step-by-step explanation:

hope this helps u :) have a good day! ^-^

we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

Sara has 2 items:

Weight of 1st item = 7 ounces.

Weight of second item = 6 3/5 ounces = 33 / 5 ounces.

Total Weight of items to be mailed = 7 ounces + 33 / 5 ounces

Total Weight = 35 + 33 / 5 ounces = 68 / 5 ounces.

Now, cost of mailing 1 ounce per mail = $ 0.45

Cost of mailing 68 / 5 ounce of mails = 68 / 5 × $ 0.45

Total cost = $ 6.12

Therefore, we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

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The constant of proportionality is $0.50.

A mathematical constant is a significant integer whose value is determined by an explicit definition. It is frequently denoted by a symbol or by the names of mathematicians to make it easier to use in a variety of mathematical situations.

The amount paid by Rocko is $12.50 for 25 game tickets.

The amount paid by Rocko is $17.50 for 35 game tickets.

A proportional relation can be written as:

y = k × x

where k is a constant, y is the cost, and x represents the number of tickets purchased in this instance.

Substituting the values, for Rocko

$12.50 = k × 25

Therefore

k = $12.50 / 25

k = $0.50

For Louisa,

$17.50 = K × 35

K = $17.50 / 35

K = $0.50

Now, k = K

So we have the same value of the constant in both cases, which means that the constant of proportionality is k = $0.50.

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Answer:

£23

Step-by-step explanation:

£12 + £20 = £23

or

£20 - £12 = £8 difference.

Answer:

11.5

Step-by-step explanation:

The Equation representing the following inequality will be 2x + 8 < -18

In the given question, it is stated that a number is 8 more than twice a number that is less than -18.

Let the number be x.

The twice of a number = 2x

A number eight more than twice a number = 2x +8

With the following statements,  we get the Number = (2x+8). Also, we have a condition that this new number is lesser than -18. So we get our equation,

                 =>  2x + 8 < -18

Hence, This  2x + 8 < -18 represents the inequality mentioned in the question stating that a two number is created in which it is lesser than -18.

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Answer:

n=7

Step-by-step explanation:

The number of games that will be played in the first round will be 14 games.

It should be noted that the appropriate function to use in this scenario will be:

= (n - 1) × 2

where n = total number of people participating.

Therefore, this will be:

= (n - 1) × 2

= (8 - 1) × 2

= 7 × 2

= 14

Therefore, the number of games that will be played in the first round will be 14 games.

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Answer:

5,000

Step-by-step explanation:

Answer:

Money spent on playstation games per week: =$8169861

Money spent on other video games per week: = $5542467

Step-by-step explanation:

Hi to answer this first, we have to calculate how much Americans spend on non Playstation video games. So, we have to subtract the money spent on Sony Playstation games to the total money spent:

$1958904.00-$1167123.00= 791781 on other video games per day

Now, since each week has 7 days. We have to multiply each daily amount by 7.

Money spent on playstation games per week: $1167123.00 x 7=8169861

Money spent on other video games per week: $791781 x 7= 5542467

Using composite functions, the expression that models the distance that she runs is:

D. 5.5 - 0.1t.

The composite function of f(x) and g(x) is given by:

(f ∘ g)(x) = f(g(x)).

In this problem, we have that:

Hence the distance as a function of the temperature is given as follows:

(D ∘ S)(t) = D(S(t)) = 0.5(11 - 0.2t) = 5.5 - 0.1t.

Which means that option D is correct.

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Answer:

x = 7

Step-by-step explanation:

3x = 21 ( isolate x by dividing both sides by 3 )

x = 7

The height of the mountain using the angles of elevation is 2.346 miles

let

x = distance from the mountain to your current position

h = height of the mountain

Therefore, using trigonometric ratios,

angle of elevation of the current position to the mountain = 8°

angle of elevation of the former position to the mountain = 4.5°

Therefore,

tan ∅ = opposite / adjacent

where

∅ = angle of elevation

tan 8  = h / x

tan 4.5 = h / x + 13

Hence,

x tan 8 = h

(x + 13) tan 4.5 = h

using substitution,

x tan 8  = (x + 13) tan 4.5

x tan 8 = x tan 4.5 + 13 tan 4.5

0.1405408347x = 0.07870170682x + 1.02312218872

0.1405408347x - 0.07870170682x =  1.02312218872

0.0613x = 1.02312218872

x = 1.02312218872 / 0.0613

x = 16.6900489396

x = 16.690 miles

Therefore,

h = 16.6900489396 × tan 8

h = 16.6900489396 × 0.1405408347

h = 2.34561947798

h = 2.346 miles.

Therefore, the height of the mountain using the angles of elevation is 2.346 miles

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It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.

Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.

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( - 1.5 , -5 ) is  a horizontal translation one unit right.

What is the formula for a vertical shrink?

Describe the transformation of the parent graph

f(x)=x^2 represented by g.

g(x)= -(2x+3)^2 - 5

Graph represents ( - 1.5 , -5 )

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A parabola has an axis of symmetry y =3 and passes through the point (2, 1), another point that lies on the graph of the parabola is (2,5).

Axis of symmetry:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given,

Axis of Symmetry y = 3.

One point = (2,1)

Here we need to find the another point that lies on the graph of the parabola.

Use the axis of symmetry.

Point given (2,1) is 2 units away from that axis, lower.

=> 1 + 2 = 3

Take two units higher,

=> 3 + 2 = 5

and is the another point (2,5), on the same parabola.

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Answer:

no

Step-by-step explanation:

it would be 87.5

The graphs of the equations can be obtained by finding the intercepts, and drawing a line through the intercepts.

1. Please find attached the graph of 2•x - y - 6 = 0

2. Please find attached the graph of 4•x + 2•y + 8 = 0

The graph of the linear equations using the x and y intercepts are found as follows;

1. 2•x - y - 6 = 0

Therefore;

2•x - y - 6 = 0

y = 2•x - 6

The y-intercept is given by the point where x = 0

The y-intercept is therefore;

y = 2×0 - 6 = -6

The x-intercept is given by the point where y = 0

Therefore;

0 = 2•x - 6

x = 6/2 = 3

Please find attached the graph of 2•x - y - 6 = 0, created using the x and y-intercept.

2. 4•x + 2•y + 8 = 0

Therefore;

4•x + 2•y + 8 = 0

y = -(4•x + 8)/2 = -2•x - 4

y = -2•x - 4

The y-intercept is therefore;

y = -2×0 - 4 = -4

The y-intercept is y = -4

The x-intercept is therefore;

0 = -2•x - 4

x = -4/2 = -2

The x-intercept is at x = -2

Please find attached the graph of 4•x + 2•y + 8 = 0, created using the x and y-intercept.

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Answer: single random sample

Step-by-step explanation:

Answer:

hey thank you it's I don't know lol thanks

Answer: n= -1/2 -3m

Step-by-step explanation:

The population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8

For given question,

We need to find  the population variance of the following set of numbers: 3, 5, 8, 9, 10

The formula for the Population variance is,

[tex]\sigma = \frac{\sum (x-\bar x)^2}{N}[/tex]

Here,

[tex]\bar x[/tex] = sample average

x = individual values in sample

N = count of values in the sample.

For given question,

[tex]\bar x=\frac{3+ 5+ 8+ 9+ 10}{5} \\\\\bar x=7[/tex]

Using the formula for variance,

[tex]\sigma = \frac{1}{5} [(3-7)^2 + (5 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (10 - 7)^2]\\\\\sigma = \frac{1}{5} \times 34\\\\\sigma = 6.8[/tex]

Therefore, the population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8

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here's the coordinates

b'= (4,5)

c'= (5,3)

As per the question, the study investigated the link between walking and the improved health. The researchers reported that the adults walked at an average of [tex]6.4[/tex] days that means [tex]9216[/tex] minutes in the past month for the purpose of health or recreation.

Now to claim for the null hypothesis, the true average number of days as well as minutes in the past months that the adults walked for the purpose of health or recreation is lower than the [tex]6.4[/tex] days as well as [tex]9216[/tex] minutes. That means [tex]u < 9216.[/tex]

And as per the standard theory of the null hypotheses which contains equal sign. And it can be represented as:

[tex]H(0):u = 9216[/tex] but [tex]H(0):u < 9216[/tex]

What are null hypotheses and alternative hypotheses?

The two hypotheses that is null hypotheses and alternative hypotheses are used in statistical testing. The test prediction based on the null hypotheses has no effect as well as no relationships between the variables. And the alternative hypotheses has both a relationship with the variables as well as effect on the variables.

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Answer: 980.17691.

Step-by-step explanation:

Answer:

980.5714286 ft² or 979.68 ft²

Which flaw most accurately illustrates the graphed function's domain?

The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

Domain here refers to the x change. The values of with regard to function should be the domain in this case. Additionally, we need to pay attention to the blank line that starts at -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

Therefore, The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

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Answer: x = 50°

Step-by-step explanation:

As you can see in the triangle, the two sides are congruent. One of the angles next to the congruent side is 50 degrees. Therefore the other angle also has to be 50 degrees.

Answer:

X=50°

Step-by-step explanation:

This is because the triangle is an isocele triangle and as we all know an isocele triangle is a triangle with 2 sides equal.

Let [tex]x=2\cos(t)[/tex] and [tex]y=2\sin(t)[/tex], so that

[tex]x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4[/tex]

is preserved. Then from the surface equation, we get

[tex]z = xy = 4\cos(t)\sin(t) = 2\sin(2t)[/tex]

The curve of intersection is then given by the vector function

[tex]\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k[/tex]

We get the equation for the points of the data as x  y + 6 = 0

We are given the data as:

X              g(x)

10            - 16

11             - 17

12            - 18

13            - 19

We need to find the equation for the data.

Slope = ( - 17 + 16 ) / ( 11 - 10)

m = - 1 / 1 = - 1

Now, the equation will be:

y - y₁ = m (x - x₁)

Substituting the values, we get that:

y + 16 = - 1( x - 10)

y + 16 = - x + 10

x + y + 16 - 10 = 0

x + y + 6 = 0

Therefore, we get the equation for the points of the data as x  y + 6 = 0

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