Answer:

Use one of the equations of motion under constant acceleration:-

s = ut + 0.5at^2 where s = distance, u - initial velocity, a = acceleration ( in this case it is gravity = 9.81 m s^-2) and t = time.

here we have s = 25*2 + 0.5*9.81 * 2^2

= 69.62 meters answer

Answer:

**Answer:**** The height of the building is 69.6 m**

**Explanation:**

**To calculate the height of the building, we use second equation of motion:**

where,

s = height of the building = ?

u = initial velocity of the ball = 25 m/s

a = acceleration due to gravity =

t = time taken = 2.0 sec

**Putting values in above equation, we get:**

**Hence, the height of the building is 69.6 m**

What is the volume of a sphere with a surface area of 196 π ft2 ? Question 12 options: 1372/ 3 π ft3 457/ 3 π ft3 226/ 3 π ft3 420 π ft3

Write the equation of each line in slope-intercept form.(If possible please show work)

Write the translated function. f(x)= 11x + 10 ; shifts 3 units up.

7√, 42√, 25√ from least to greatest

Use order of operations to compute.6²÷ 4-(3+5)Please help ASAP!!! :(

Write the equation of each line in slope-intercept form.(If possible please show work)

Write the translated function. f(x)= 11x + 10 ; shifts 3 units up.

7√, 42√, 25√ from least to greatest

Use order of operations to compute.6²÷ 4-(3+5)Please help ASAP!!! :(

10100 is the answer hope it helps you.

The **unit rate** of computers per day is equal to 12 computers per day.

In Mathematics and Geometry, a **proportional relationship** is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

- y represents the y-variable or total cost.
- x represents the x-variable or number of computers.
- k is the
**constant of proportionality**.

Next, we would determine the **unit rate** or constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 36/3 = 48/4 = 60/5

**Constant of proportionality**, k = 12.

Therefore, the required linear equation is given by;

y = kx

y = 12x

Read more on **proportional relationship** here: brainly.com/question/28350476

#SPJ1

**Answer:**

**d = 4√5**

**Step-by-step explanation:**

d² = 8² + 4²

d² = 64 + 16

d² = 80

d =√80

d = √(16 * 5)

**d = 4√5**

**Answer:**

**Step-by-step explanation:**

hard to see graph ....

**Answer:**

replace the given values of x and y

**Step-by-step explanation:**

hope it helped!!!

b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

B. (30, 55)

C. (60, -40)

D. (40, 60)

I believe it is C. (60, -40)