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Montano1993 [528]
3 years ago
14

Please help me in answers 6 and 8

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
For #6

x + y = -10
x - y = 2

First solve for y in one of the equations

x - y = 2
-y = 2 - x
y = -2 + x
y = x - 2

Now substitute into one of the equations and solve for x

x + y = -10
x + x - 2 = -10
2x - 2 = -10
2x = -8
x = -4
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Suppose Neil Armstrong decided to throw a golf ball into the air while he was standing on the
lawyer [7]

Answer:

At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s

Step-by-step explanation:

The given information on the height can be written as follows;

s(t) = -2.72·t² + 26.9·t + 6

Where;

s = The height (displacement) of the golf ball

t = The time taken during the motion of the golf ball

The velocity is found by finding the derivative of the displacement s as follows;

v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9

When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s

Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.

3 0
3 years ago
Sharon runs a day care center. Of the last 10 children to enroll at the day care center, 4 of them have been preschoolers. What
JulijaS [17]

Answer:

The experimental probability that the next child to enroll will be a preschooler is 40%

P(E) = 40%

Step-by-step explanation:

What is Experimental Probability?

Experimental probability is basically the ratio of the number of outcomes occurred to the total number of trials in an actual experiment.

In this problem we are given that out of the last 10 children to enroll at the day care center, there are 4 children who belong to the category of preschoolers.

We are asked to find the experimental probability that the next child to enroll will be a preschooler.

The required experimental probability is given by

P(E) = \frac{\text{number \:of \:desired \:outcomes}}{\text{total \:number \:of \:outcomes}}

Where number of desired outcomes are 4 and total number of outcomes are 10

So the probability is

P(E) = \frac{4}{10} \\\\P(E) = 0.40\\\\P(E) = 40\% \\\\

Therefore, the experimental probability that the next child to enroll will be a preschooler is 40%

3 0
3 years ago
2. Select all ratios that are equivalent to 3:18.<br> 21:126<br> 6:36<br> 1:6<br> 1:18<br> 15<br> 21
mafiozo [28]

Answer:

21:126

6:36

1:6

Step-by-step explanation:

5 0
3 years ago
The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
anastassius [24]
Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point (2, 48) on this graph and solve for the constant of proportionality:
2a=48
We easily solve that and get our answer of a=24. (B)

5 0
3 years ago
Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's rad
Kipish [7]

Step-by-step explanation:

Diameter = 2x Radius

Radius = 1/2 Diameter

=  \frac{1}{2}  \times 8 \\  = 4km

6 0
2 years ago
Read 2 more answers
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