Plzzzzzz helpppp asapppp

a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park

Rom4ik [11]

X -length
y wide

x=4y
2x+2y=12,5

x=4y
8y+2y=12,5

x=4y
y=1,25

x=5
y=1,25

area
x*y=5*1,25=6,25

3 0

3 years ago

Identify the parent function that can be used to graph the function (x) = - 3x + 2

Sever21 [200]

Answer:

c

Step-by-step explanation:

the function (x) = -3x+2 can be obtained by :

* stretching the function (x)=x in the y-axis by 3 units gives 3x

* then reflecting about x-axis gives -3x

* finally shifting it up by 2 units gives -3x+2

so the parent function is f(x) = x

8 0

2 years ago

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)

Licemer1 [7]

Expand the expression as

(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵

… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵

Then taking the inverse transform, you get

LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]

… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]

… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]

… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴

8 0

2 years ago

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample

klasskru [66]

Answer:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

7 0

3 years ago

Patrick already has 1 plant in his backyard, and he can also grow 1 plant with every seed packet he uses. With 40 seed packets,

sveticcg [70]

41 seed packets you do the math

5 0

3 years ago

Read 2 more answers