SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t+1) where the height h is measured in feet and the time t

Answers

Answer 1

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

[tex]h= -16(t-1.5)(t+1)[/tex]

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in [tex]h= -16(t-1.5)(t+1)[/tex]

[tex]0= -16(t-1.5)(t+1)[/tex]

Divide both sides by -16

[tex]\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}[/tex]

[tex]\frac{0}{-16} =(t-1.5)(t+1)[/tex]

[tex]0 =(t-1.5)(t+1)[/tex]

[tex](t-1.5)(t+1)=0[/tex]

Split

[tex]t - 1.5 = 0[/tex] or [tex]t + 1 = 0[/tex]

Solve for t

[tex]t = 1.5[/tex] or [tex]t = -1[/tex]

But time (t) can not be negative.

So:

[tex]t = 1.5[/tex]

Hence, the diver will hit the water at 1.5 seconds


Related Questions

HELP ASAP!! Will give brainliest to first correct answer

Answers

Answer:

m(∠KJL) = 54°

Step-by-step explanation:

It's given that two sides of ΔJKL are equal in measure.

Therefore, angles opposite to the equal sides will be equal.

By triangle sum theorem in ΔJKL,

m∠KJL + m∠KLJ + m∠JKL = 180°

2(m∠KJL) + 72° = 180°

2(m∠KJL) = 180° - 72°

m∠KJL = [tex]\frac{108}{2}[/tex]

m(∠KJL) = 54°

ax + 7 = 2x + b
Find x

Answers

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?

Answers

Answer:

100000 olacak iyi dersler

Help asappp please !!!

Answers

Answer:

Step by step explanation:
equation is y= 2x + 6

Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk

Answers

Answer: say what now?

Step-by-step explanation:

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?

Answers

Answer:

:)

Step-by-step explanation:

It would cost $150 for a party of 9 people and it would cost $260 for 20 people

principal is 5000 rate p.a. is 8 percent and time 1year

Answers

Answer:

5400

Step-by-step explanation:

Given data

P= 5000

r= 8%

t= 1 year

The simple interest expression is given as

A= P(1+rt)

Required

The final amount A

substitute

A= 5000(1+0.08*1)

A= 5000*1.08

A= 5400

Hence the final amount 5400

he sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?

Answers

Answer:

3,2.5, and 0.5

Step-by-step explanation:

3 + 2.5 = 5.5 and if you need the answer to be 6 then add 0.5

Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Find the unit rate.
1/2 pound : 5 days

Answers

Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day


[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]

Answers

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

A rectangular prism has a base that is 1.5 meters by 2 meters and the prsim is 4 meters high,What is the surface area

Answers

Answer:

34

Step-by-step explanation:

the equation is 2(lw+lh+wh)

2( 1.5 x 2 + 1.5 x 4 + 2 x 4)

Answer:

Step-by-step explanation:

surface area=2lb+2(l+b)h

=2×1.5×2+2(1.5+2)×4

=6+2×3.5×4

=6+28

=34 sq. m

A complex number of the form z = a + bi has an absolute value of 4.00. What could the values of a and b be?

a = 1.6, b = 2.3
a = 1.6, b = 2.5
a = 1.9, b = 2.1
a = 2.1, b = 3.4

Answers

Answer:

According to the question z must be equal to 4. So value of a+b=z or a+b=4

Lets try each of the options

A) a+b

1.6+2.3=3.9 which is not equal to 4

So option a is not the asnwer.

B) a+b = 1.6+2.5= 4.1 which is not equal to 4

C) a+b= 1.9+2.1= 4.00 which is equal to 4

D) a+b= 2.1+3.4= 5.5 which is not eqaul to 4

Thus, we have OPTION C AS THE CORRECT ANSWER

Answer:

It's NOT C, it's D!

Step-by-step explanation:

can someone help me with this?!

Answers

Answer:

y=x+2.4

Step-by-step explanation:

Is my answer right? if not can you please tell me which won is right..

Answers

A = 4 is the correct answer!3 x ? = 1212 ÷ 3 = 4so1 x 4 = 4You're wrong. It is not six.By the way, it's "one" not "won".It was probably a mistake.:)Please let me know if I am wrong.

B divided by 8= 4
What is B.

Answers

Answer

The answer is 32

Step-by-step explanation:

32/8=4

Answer:

b = 32

Step-by-step explanation:

b/8 = 4

Multiply each side by 8

b/8 * 8 = 4*8

b = 32

Are these triangles congruent?

Answers

     

no way i can do math like that

                                                                                                                             

How much money does Bob the Brick-layer need for his material costs?
He can lay 100 bricks in an hour. He charges $150 per hour for brick laying,
What is the total cost for Bob to do the job?

Answers

15,000 I think if I’m wrong then sorry

A rectangular price tag has a perimeter of 28 centimeters. Its area is 40 square centimeters.
What are the dimensions of the price tag?

Answers

Answer:

░░░░░▐▀█▀▌░░░░▀█▄░░░ ░░░░░▐█▄█▌░░░░░░▀█▄░░ ░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░ ░░░░▄▄▄██▀▀▀▀░░░░░░░ ░░░█▀▄▄▄█░▀▀░░ ░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob ▄░▐░░░▄▄░█░▀▀ ░░ ▀█▌░░░▄░▀█▀░▀ ░░ Copy And Paste ░░░░░░░▄▄▐▌▄▄░░░ So, He Can Take ░░░░░░░▀███▀█░▄░░ Over Brainly Join the cult today

Step-by-step explanation:

bob is life

bob is food

bob is bob

The circumference of a circle is approximately 3.14 times the length of its diameter. Which inequality can be used to find all possible diameter lengths, d, if the circumference of a circle is more than 50 cm?

Answers

Answer:

3.14d > 50 cm

Step-by-step explanation:

Given that the circumference of a circle is approximately 3.14 times the length of its diameter

If the circumference is C and the length of the diameter is d then

C = 3.14d

If the circumference of a circle is more than 50 cm then

3.14d > 50

The  inequality can be used to find all possible diameter lengths, d,

d > 50/3.14

d > 15.92cm

Virginia had 3600 dollars in her saving account. She withdrew 2/5 of the money and donated 1/2 of this to the orphanage. How much money did she donate?

Answers

Answer:

$720

Step-by-step explanation:

It takes 90 minutes to vacuum 30 vehicles. At this rate, how many minutes does it take to vacuum 7 vehicles?

Answers

Answer: 21.

Step-by-step explanation: If you do '90 x 7' you get 630. With this, you will want to divide 630 by 30. So to simplify this, '(90 x 7) ÷ 30 = 21'

Yep 21 is correct good luck

how to do this? please help

Answers

i can’t see the photo

Which of the following is an arithmetic sequence with common difference –5?


8, 3, –2, –7, . . .

B)

0, 5, 10, 15, . . .

C)

5, 25, 125, 625, . . .

D)

5, –25, 125, –625, . . .

Answers

Answer:

Option A i.e. 8, 3, -2, -7, ... is correct.

Step-by-step explanation:

Let us check the sequence given in option A

[tex]8, 3, -2, -7, . . .[/tex]

An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

determine the differences of all the adjacent terms of Arithmetic sequence

[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-5[/tex]

Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.

Hence, option A i.e. 8, 3, -2, -7, ... is correct.

Answer:

8, 3, –2, –7, . . .

Step-by-step explanation:

the ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls? -please answer!

Answers

Their would be 67 girls.

Diego scored 9 points less then Andre in the basketball game.Noah scored twice as many points as Diego.if Noah scored 10 points , how many points did Andre score

Answers

Answer:

14 points.

Step-by-step explanation:

To solve this problem, let's make an equation.

Let x represent the unknown number, or the amount of points Andre scored.

We know that Noah scored 10 points.

Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.

So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is

x - 9 = 5

To solve, just add 9 to both sides.

x - 9 + 9 = 5 + 9

We are left with:

x = 14

So, Andre scored 14 points.

I would appreciate brainliest, if not that's ok!

Answer:

Step-by-step explanation:

5 x 5

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Not that hard, will give brainlist if correct

Answers

Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the rightShift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

What is 36 over 45 in simplest form

Answers

Answer:

4 over 5

Step-by-step explanation:

36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5

The perimeter of a regular decagon is 355m.
State the length of one of its sides.

Answers

35.5m

Step-by-step explanation:

355m÷10=35.5m answer

35.5 cm
Hope it helpss...

can u pls help me with this question ​

Answers

Should be 56.25 miles from its destination bc you know it’s traveling at 22.5 miles an hour and you know how many hours the train has traveled already then you do 22.5(miles) multiplied by the number of hours or 2.5
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