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labwork [276]
3 years ago
9

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16

t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

(d)

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

x = (0,0) and x = (6,0)

These represent the start and end of the ball that is launched.

Hence, (d) is true

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Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of
olga2289 [7]
48 + 24 + 12 + 6 = 90 inches or <span>3*(16+8+4+2) = 90 will be the right answer.</span>
7 0
3 years ago
Read 2 more answers
Help me fast i need help a lot :3
Shtirlitz [24]

the third option

because 1/3 is not equal to three

where as if we replace the x with one in all the other we would find that the equation is correct.

8 0
3 years ago
What is the volume of the jagged rock
Irina18 [472]
There isn’t an answer because you haven’t provided us enough data
3 0
3 years ago
The baseball coach is 70 inches tall. How tall is the child?
tankabanditka [31]

The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.

<h3>What is Heigth?</h3>

Height refers to the vertical distance between the top and bottom of something.

Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.

<h3>Data and Calculations:</h3>

Baseball coach's height = 70 inches

Coach's shoulder to head = 10.6 inches

Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)

Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.

Learn more about height measurements at brainly.com/question/73194

#SPJ1

<h3>Question Completion:</h3>

Assume that the height of the coach from his shoulder to the head is 10.6 inches.

6 0
2 years ago
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