Please help me...

What is the function that matches the description.

A sine function whose amplitude is 5 and Period is 12.

Answer:

[tex]15(14a) = 210a[/tex]

Step-by-step explanation:

We want to simplify the expression 15(14a) using the distributive property.

We rewrite as:

[tex]15(14a) = 15(10a + 4a)[/tex]

According to the distributive property:

[tex]a(b + c) = ab + ac[/tex]

This implies that:

[tex]15(14a) = 15 \times 10a + 15 \times 4a[/tex]

We simplify to obtain:

[tex]15(14a) = 150a + 60a[/tex]

Add on the right to get:

[tex]15(14a) = 210a[/tex]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

so

[tex]z^3=\frac{x}{y}[/tex]

we have

[tex]x=972\ cm^3\\y=36\ cm^3[/tex]

substitute

[tex]z^3=\frac{972}{36}[/tex]

Simplify

[tex]z^3=27\\z=3[/tex]

therefore

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

so

[tex]z^2=\frac{x}{y}[/tex]

we have

[tex]x=594\ cm^2[/tex]

[tex]z=3[/tex]

substitute

[tex]3^2=\frac{594}{y}[/tex]

solve for y

[tex]y=\frac{594}{9}=66\ cm^2[/tex]

therefore

The surface area of the smaller prism is 66 square centimeters

Answer:

[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Step-by-step explanation:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

Step-by-step explanation:

Two brothers get three pounds to share is the answee.

2 brothers will share 3 pounds. Divide 3 pounds by 2 people:

3/2 = 1-1/2 pounds per person.

3 brothers will share 2 pounds. Divide 2 pounds by 3 people:

2/3 = 2/3 pounds per person.

The 2 brothers sharing 3 pounds will have more apples each.

Answer:

(3,-2)

Step-by-step explanation:

reflection over why axis will make the x coordinate positive.

Answer:

25

Step-by-step explanation:

5x5

Answer:

4 + 3x

Step-by-step explanation:

Answer:

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Step-by-step explanation:

Polar form is

r(cos(theta) + isin(theta))

r = sqrt[(-10/sqrt3)² + (10)²]

r = sqrt(400/3)

r = 20/sqrt(3)

tan^-1[10 ÷ (10/sqrt(3))] = π/3

Theta: -π + π/3 = -2π/3

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Answer:

75x + 375 [tex]\geq[/tex] 7500

      -375       -375

_________________

75x [tex]\geq[/tex] 7125

divide both sides by 75

x is greater than or equal to 95

95 or more to reach goal

Step-by-step explanation:

The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.

Step-by-step explanation:

The given is,

           Decorative steel made from circular circle of 6 stems

           The length of the stem is 45 cm

Step:1

         We need to find the total length of the steel used in the decorative steel,

          Let,  T - Total length of the steel

                  L - Length of the stem

                  n - Number of stems used in steel frame

Step:2

       Formula to find the total length of the steel is,

                            [tex]T=[/tex] [tex]l[/tex] × [tex]n[/tex]

       From given,

                  [tex]l[/tex] = 45 cm

                 [tex]n[/tex] = 6 stems

       Substitute the values in formula,

                          [tex]T =[/tex] ( 45 × 6 )

                              = 270

                        [tex]T =[/tex] 270 cm

Result:

         The total length of the steel used in the frame is 270 cm.

The total length of steel used in the decorative steel frame, made with 6 stems of 45cm each, is 270cm.

To solve this question, we simply need to multiply the length of each stem by the number of stems used in the decorative steel. As stated, each stem measures 45cm, and there are 6 stems used in total.

Therefore, the total length of steel used in the frame would be calculated as follows:

So, the total length of steel used in the frame is 270cm.

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Answer:

p > 10.67

Step-by-step explanation:

Given the inequality -1 1/2p < -16

Before we can represent the inequality on a graph we just simplify it first. On simplification:

-1 1/2p < -16

(-3/2)p < -16

Multiplying both sides by 2

-3p < -32

Dividing both sides by -3 will change the sense of the inequality as shown:

p > -32/-3

p > 32/3

p > 10.67

Find the graph of the resulting inequality in the attachment.

Answer:

Graph A since these idiots cant just put the answer.

Step-by-step explanation:

Anything that doesn't show $1.04 is wrong.

Answer:

(- 2, - 3 )

Step-by-step explanation:

Given the 2 equations

2x - 4y = 8 → (1)

y = [tex]\frac{3}{2}[/tex] x → (2)

Substitute y = [tex]\frac{3}{2}[/tex] x into (1)

2x - 4([tex]\frac{3}{2}[/tex] x ) = 8

2x - 6x = 8

- 4x = 8 ( divide both sides by - 4 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{3}{2}[/tex] × - 2 = - 3

Solution is (- 2, - 3 )

Answer:

No

Step-by-step explanation:

The ratio 19:15 is equivalent to 19/15

19/15=1.26666

The ratio 4:3 is equivalent to 4/3

4/3=1.33333

1.26666 is not equal to 1.3333, so the ratios are not equivalent

Hope this helps! :)

Answer:

no

Step-by-step explanation:

cross multiply to check

19/15 and 4/3

multiply 19 x 3=57

multiply 4 x 15=60

since 57 and 60 aren't equal to each other then the ratios aren't equivalent

Answer:

8

Step-by-step explanation:

2x2 is 4 and x 2 is 8. I think im right?

Answer: 8

Step-by-step explanation:

The price of cable TV has increased by approximately 252.94% from 1990 to 2010.

The approximate percent increase from 1990 to 2010 can be calculated using the formula:

Percent increase = (Final value - Initial value) / Initial value * 100

To apply this formula, we first need to find the initial and final values. In this case, the initial value is the cost of cable TV in 1990, which is $17.00, and the final value is the cost in 2010, which is $60.00.

Now, let's calculate the percent increase:

Percent increase = ($60.00 - $17.00) / $17.00 * 100

= $43.00 / $17.00 * 100

≈ 252.94%

Therefore, the approximate percent increase from 1990 to 2010 is approximately 252.94%.

Answer:

6 inches

Step-by-step explanation:

The volume of a box can be calculated with the simple formula [tex]l\cdot w\cdot h[/tex], where l represents length, w represents width, and h represents height. You know that [tex]6\cdot 13\cdot h=468[/tex], so dividing both sides by 13 and 6 yields h=6 inches. Hope this helps!

Answer:

The height is 6

Step-by-step explanation:

468 divided by (13 x 6) = height

13 x 6 = 78

468 divided by 78 = 6

Volume of a cylinder will be 113.112cm³.

The volume of a cylinder can be calculated using the formula

V = π r² h,

where r is the base radius and h is the height

Plugging in the values, we get

V = 3.142 × (2 cm)² × 9 cm

V = 113.112 cm³

Answer:

$265.00

Step-by-step explanation:

300*.80=240

25*1=25

240+25=265.

Answer:

The answer is $265

Step-by-step explanation:

I took this test

Answer:

10

30%

Step-by-step explanation:

In this case it would be the combination of 2 taken from 5.

That is, when n = 5 and r = 2

nCr = n! / r! * (n-r)!

replacing

5C2 = 5! / (2! * 3!)

5C2 = 10

Which means that the sample space is 10 possible combinations.

the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.

Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:

(3/5) * (2/4) = 0.3

So the probability that both are even is 30%

Answer:

It will become narrower/steeper

Step-by-step explanation:

To find out how the new parabola will behave, just substitute in numerous values for a and x.

Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.

The equation of the new parabola is y = ( 2a )x² and the parabola will become narrower or steeper

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the first parabola be

y = ax²   be equation (1)

The parabola is graphed in green below

Now , a is positive integer when multiplied by 2 , we get

y₁ = ( 2a )x²   be equation (2)

The equation (2) represents the equation of the new parabola

The parabola is graphed in red below

So , from the graph , we can see that the parabola has become narrower

Hence , the equation of the parabola is y₁ =  ( 2a )x²

To learn more about equation of parabola click :

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Answer:

2000,400,80,16, = missing answer is 3.2

This is because everything on the linear

declines by dividing y by 5 for x = 3.2 * 5

so for rate of change = 5/3.2 = 1.56

An expression for y = y- 64 = 2 2 8 X - 63. (0,12)

or y = y-5 = - 3x -1  

which = 3.2 -5 = -2.8 x 5  = -14

Step-by-step explanation:

Answer:

5a²+22a+8

Step-by-step explanation:

(5a+2)(a+4)

5a² + 20a + 2a + 8

5a² + 22a + 8

Answer:

if minus is part of the question:

-(5a^2+22a+8)=-5a^2-22a-8

if not then:5a^2+22a+8____ a tip: make the question clear next time...good luck!

Answer:

A 24

Step-by-step explanation:

Assuming this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

a^2 + 7^2 = 25^2

a^2 +49= 625

Subtract 49 from each side

a^2 +49-49 = 625-29

a^2 = 576

Take the square root of each side

sqrt(a^2) = sqrt(576)

a = 24

Answer:

A

Step-by-step explanation:

C - B < A < C + B

25 - 7 < A < 25 + 7

18 < A < 32

A can have any length between 10 and 32.

In case it's a right angle triangle,

A² = 25² - 7²

A² = 576

A = 24

Answer:

What dotted line. There is no dotted line on here my friend

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

When something is related proportionally, that means that multiply by some value constant k, will result in the output.

Thus, to find k, all you have to do is divide y/x

14/6 = 7/3 = k

kx = y

48*7/3 = y = 112

The value of the variable 'K' at t = 3 will be 37.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

K = 13t - 2

The value of the variable K at t = 3 will be given as,

K = 13t - 2

K = 13 x 3 - 2

K = 39 - 2

K = 37

The value of the variable 'K' at t = 3 will be 37.

More about the function link is given below.

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