To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.

Answer:

k k hhi i i kjh hi hi pi i i hi hi kp i pi hj

Answer:

x = 19/7 , y= -27/14

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

120° = 25° + y ( exterior angle of a triangle is equal to the sum of two opposite interior angles)

y = 120° - 25°

y = 95°

Hope it will help :)❤

Answer:

When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .

Answer:

4x^2 + 21x -18

Answer:

Hope it helps ❤️

Answer:

x = -8

Step-by-step explanation:

-3x -6 = 18

-3x = 24

x = -8

Answer:

r=2.55cm

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

9=height

12=wideness

9times12=108

Answer:

x>-1

Step-by-step explanation:

[tex] \frac{17}{17}x > - \frac{17}{17} \\x > - 1 [/tex]

Answer:

12+21x

Step-by-step explanation:

Answer:

f-¹(x) = -⅕x - ⅘

Step-by-step explanation:

f(x) = -5x - 4 → x = -5y - 4 → 5y = - x - 4 → y = -⅕x - ⅘ → f-¹(x) = -⅕x - ⅘

Answer:

multiply the volume value by 1e+6

Step-by-step explanation:

Answer:

These are the answers. Hope this helps!

Step-by-step explanation:

Answer:

4(9 – c)

36 – 4c

Step-by-step explanation:

An example of two equivalent expressions includes the general expression and then the one that is factored.

Answer:

The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.

Step-by-step explanation:

Surface area of a snowball:

A snowball has a spheric format, which means that it's surface area is given by:

[tex]A = 4\pi r^2[/tex]

In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:

[tex]A = 4\pi(\frac{d}{2})^2 = \pi d^2[/tex]

Solving the question:

To solve this question, we have to implicitly derivate the area in function of t. So

[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Snowball melts so that its surface area decreases at a rate of 3 cm2/min

This means that [tex]\frac{dA}{dt} = -3[/tex]

Find the rate at which the diameter decreases when the diameter is 10 cm.

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-3 = 20\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{3}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.0477[/tex]

The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.

Answer:

1/3 of the animals at the shelter are male cats.

Step-by-step explanation:

(4/6)*(1/2)=(4/12) or (1/3)

Answer:

$90.67

Step-by-step explanation:

Answer:

your answer will be A.85°

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:−

1

2

+

6

4

Step-by-step explanation:−

3

4

(

4

−

2

)

Simplify

1

Combine multiplied terms into a single fraction

−

3

4

(

4

−

2

)

−

3

(

4

−

2

)

4

2

Distribute

Solution

−

1

2

+

6

Answer:

10.333

Step-by-step explanation:

If you use percentage, we will get 10.3325.

But it's money, so we will have to round it up.

We then get 10.333.

Answer:

You first have to find how much of the area

Step-by-step explanation:

Answer:

The vertex is at [tex](0, -9)[/tex]

The axis of symmetry [tex]x = 0[/tex]

Step-by-step explanation:

Note: You can answer all the questions looking at the graph

We have the function [tex]f: \mathbb{R} \rightarrow\mathbb{R}[/tex](I am assuming this) such that [tex]f(x) = y = (x-3)(x+3)[/tex]

We note that

[tex](x-3)(x+3) = x^2-9[/tex] once we have a difference of squares

Therefore, we have a quadratic function.

So

[tex]y = x^2-9[/tex]

The vertex [tex](h, k)[/tex] is

[tex]h = \dfrac{-b}{2a} = \dfrac{-0}{2 \cdot 1} = 0[/tex]

[tex]k= h^2 - 9 = 0^2 - 9 =-9[/tex]

Therefore, the vertex is at [tex](0, -9)[/tex]

As we know the vertex, we conclude that the axis of symmetry [tex]x = 0[/tex]

The x-intercepts occur at [tex]y = 0[/tex]

[tex]y = (x-3)(x+3) \implies x = -3, x=3[/tex]

So, the left x-intercept is [tex](-3, 0)[/tex] and the right x-intercept is [tex](3, 0)[/tex]

As I stated in the beginning, the domain is the set of all real numbers. Precisely,

[tex]Dom(f) = \mathbb{R} = (-\infty, \infty)[/tex]  

Once, we know the vertex, we also conclude that the Range is

[tex]Ran(f)= [-9,\infty)[/tex]

Greater than or equal to -9

Answer:

FD = 25.94

Step-by-step explanation:

13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)

13x - 4x = 11 + 16

9x = 27

x = 3

substituting x in 4x + 11,

4(3) + 11

12 + 11

23

ΔFED is a right triangle,

FD² = FE² + DE²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = 25.94

Answer:

FD= +-25.94

Step-by-step explanation:

EF=CF=r(radius)=12

we know,

FD^2=EF^2+ED^2 ......(1)

and

FD^2=CF^2+CD^2 ......(2)

We Know,

area of triangle, a= 1/2xbasexHeight

a=1/2xEFxED .......(3)

and

a=1/2xCFxCD .....(4)

from equation 3 and 4

1/2xEFxED=1/2xCFxCD

=> 1/2x12xED=1/2x12xCD

=>ED=CD

=>13x-16=4x+11

13x-4x=16+11

9x=27

x=3

so

FD^2=EF^2+(ED)^2

FD^2=(12)^2+(4x3+11)^2

=>FD^2=144+529

=>FD^2=673

FD=+-25.94

The answer for the following question is 12

as

Circumference of the circle = 2TTr

= 2 x 22/7 x 12

= 44 / 7 x 12

= 75.4285714286

Answer:

3.50x+6.00 and 2(1.75+3.00)

Step-by-step explanation:

Answer:

7x(2y+3)

Step-by-step explanation: