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3 years ago

6

Eddie is looking at a map of Sandy Shore Park. The scale on the map is: 1 inch = 1/2 mile. If Clark's Pond and Vista Ridge are 9

inches apart on the map, what is the actual distance from Clark's Pond to Vista Ridge?

1 answer:

tekilochka [14]3 years ago

8 0

Answer:

4.5 miles

Step-by-step explanation:

Distance = 9 inches

1 inch = 1/2 mile

9 / 1/2 = 4.5

9 inch = 4.5 miles

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is $y=a(b)^{x}$ , where

a is the initial value
b is the growth factor

The table:

→ x : y

→ 0 : 40

→ 1 : 62

→ 2 : 96

→ 3 : 149

→ 4 : 231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ $40=a(b)^{0}$

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ $y=40(b)^{x}$

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ $62=40(b)^{1}$

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is $y=40(1.55)^{x}$

To find the population of moose after 12 years substitute x by 12 in the equation

∵ $y=40(1.55)^{12}$

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0

3 years ago

If y = -7x 3 what is the value of y when x = -1

Len [333]

You would do... 7*-1*3 (* is times) And that is -21.
So y = -21

3 0

3 years ago

17. Classify Each Angle Pair then find the value of X

IRISSAK [1]

<u>Given</u> -

If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,

<u>To find</u> -

m∠2.

<u>Concept</u> -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

<u>Solution</u> -

$\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}$

$\rightarrow\sf{13x+5x+24-6=180}$

$\rightarrow\sf{18x+18=180}$

$\rightarrow\sf{18x+18=180}$

$\rightarrow\sf{18(x+1)=180}$

$\rightarrow\sf{x+1=\frac{180}{18}}$

$\rightarrow\sf{x+1=10}$

$\rightarrow\sf{x=10-1}$

$\rightarrow\boxed{\bf{x=9}}$

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

4 0

2 years ago

Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few fri

inna [77]

Answer:

She must pay $500 for the materials, and $14 per lawn, then:

We know that the total cost is (assuming that they work for 8 weeks, 6 days per week, and 3 times per day)

C = $500 + $14*(8*6*3) = $2,516.

The total revenue that she can make (with the same assumptions as before) is:

R = N*(8*6*3)

Where N is the amount she charges for each lawn that they mowed.

R = N*144

Now, we do not know how much she charges, so the value of N is unknown.

Now, the profit is equal to the difference between the revenue and the cost, this means that the profit is:

P = R - C = N*144 - ($2,516)

P(N) = N*144 - ($2,516)

If we have, for example, N = $20, the total profit will be:

P($20) = $20*144 - ($2,516) = $364

7 0

3 years ago

1 1/4 miles is equal to how many feet? Please show the work.

jekas [21]

1 mile=5,280 ft
1/4 mile=1,320 ft
so add them to get 7,920 ft.

3 0

3 years ago

Read 2 more answers