All categories

3 years ago

(D)Using the model formula: P= -55/4 t+340, predict the park’s owl population in 2022.

Mathematics

1 answer:

Anastaziya [24]3 years ago

4 0

Answer:

D: 216 E: 2038

Step-by-step explanation:

For D:

P= - 55/4 × t + 340

Substitute in for t (2022-2013=9)

-55/4 × 9 = - 123.75

-123.75+340= 216.25

Round down to 216

For E:

The owl population =0

0=-55/4×t+340

-340=-55/4 × t

-340÷-55/4=t

T=24.7272

Round to 25

25+2013 =2038

You might be interested in

All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follow

Lunna [17]

Answer:

Step-by-step explanation:

6×4 +2 :2 - 7

24 +1 - 7

25 - 7

1 step 6×4

2step 2:2

3step 24 +1

4step 25 - 7

8 0

3 years ago

Solve the following Absolute Value Equation. Type the 2 solutions in the

klemol [59]

Answer:

-9, 15

Step-by-step explanation:

Subtract 7 and multiply by 4

1/4 |2x-6| +7 = 13

1/4 |2x -6| = 6

|2x -6| = 24

2x -6 = ± 24

2x = 6 ±24

x = 3 ±12

x = -9, 15

_____

For graphing purposes, it is often convenient to rewrite the equation so the solutions are where the function is zero. Here, we can do that by subtracting 13 from the equation.

(1/4 |2x -6| +7) -13 = 0

3 0

3 years ago

Find area of blue shaded region

RUDIKE [14]

Answer:

$\approx \: 7.33 \: {cm}^{2}$

Step-by-step explanation:

Area of the blue shaded region

$= \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2}$

8 0

3 years ago

5 . Write an equation of a line with given slope and y-intercept. <br> M=-2, b = 4

irakobra [83]

Slope intercept form is y = mx + b

y = -2x + 4

6 0

3 years ago

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.

Delicious77 [7]

The invese switches x and y so basically
if
f(21)=z then f⁻¹(z)=21
therefor
f(z)=21 and f⁻¹(21)=z
basically solve for the value that makes the functino equal 21

21=6(x+2)-3
add 3 both sides
24=6(x+2)
divide by 6
4=x+2
minus 2
2=x

answer is 2

8 0

4 years ago