Suppose n(t) = -51^2 + 10t + 3 represents the height of a

diver above the water (in meters), 1 seconds after

the diver leaves the springboard. Which of these

statements is true?

(А)

After 1 second, the diver will be 3 feet above

the water.

B

After 5 seconds, the diver will be 25 feet above

the water.

С

After 1 second, the diver will be 8 feet above

the water.

D

After 5 seconds, the diver will be 78 feet above

the water.

Answers

Answer 1

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).


Related Questions

-12.5 - (-4.8) What is the value of the expression?

Answers

When you are determining the answer to the question, make sure you know to change the signs. The answer is - 7. 7

ANSWER NOW THE WORLD iS AT STAKE
2x + 8 > − 4


Translate the inequality into written language.
Find the solution set of
x
and describe how you would graph it on a number line.

Answers

Answer:

x>-6

Step-by-step explanation:

2x+8>-4

-8      -8

2x>-12

2x/2 > -12/2

x>-6

the open circle is going the way the symbol is going on the graph, which is >.

Answer:

x>-6

Step-by-step explanation:

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

Please help me!!! ASAP!

Answers

Option C

Olivia paid $ 15683.28 after 8 years

18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.

Answers

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

Find all the two-digit numbers that decrease 12 times when the last digit is crossed out.

Answers

Answer:

Step-by-step explanation:

Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2

Answers

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

Raj and his friends went to the movies today and ate 875 Which steps can be used to find how much popcorn pieces of popcorn, or 125% more than they ate when Raj and his friends ate at the movies last week? they went to the movies last week. Check all that apply. Popcorn 125 + 750 = 875 eaten today 0 125 875 O 125 x 7 = 875 100 x 7 = 700 pieces of popcorn 100 + 750 = 850 pieces of popcorn 0 100 ? 125 + 875 = 1000 pieces of popcorn Popcorn eaten last week​

Answers

Answer:

125 x 7 = 875 pieces of popcorn

100 x 7 = 700 pieces

Step-by-step explanation:

Answer:

Step-by-step explanation:

B and C

each square below represents one whole​

Answers

Answer:

hello…

the colored part is 20%

The shaded part should be equal to 175%

If every square is one whole, or 100%, each quadrant should be 25%. Both squares combined are 200%, so one 25% shaded quadrant missing would result in 175% of the two squares shaded... hope this helps.

USE A PROTRACTOR TO MEASURE THE FOLLOW
1)
2)
Answer:
Answer:
3)
4)

Answers

Answer:

1) 130°

2) 180°

3) 200°

4) 50°

Step-by-step explanation:

Hope it helps!!

:D

Simplify the given expressions.

(7−2)2−(2+1)(2−5)

Answers

Answers 19 hope it helps you :)!

The answer is 19. ( i think)

8 tens + 3 ones = ____ tens + 13 ones

Answers

Answer:

7 tens

Step-by-step explanation:

the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.

AMY HAS TWO TOMATO PLANTS. ONE IS 5 3/4 INCHES TALL AND THE OTHER IS 8 1/2 INCHES TALL. WHAT IS THE DIFFERENCE IN HEIGHT BETWEEN THE TWO TOMATO PLANTS?

Answers

The answer is 2 3/4 inches

Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:

4y − 15

In the expression, what does the first term represent?

Jessica's earnings at the end of the week
The number of crates of bananas Jessica sold
Monte's earnings at the end of the week
The number of crates of bananas Monte sold

Answers

Answer:

Jessica's Earning's at the end of the week

Step-by-step explanation:

If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.

In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition,  division.

For example, 2x+3

The expression given for Monte's earnings is 4y - 15.

In this expression, the first term is 4y.

This term represents the amount of money Monte earns per crate of bananas he sells.

Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.

So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ3

Determine the measure of < 7
o 53
o 133
o 127
o 47

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

A. <5, <7, <8, <11, <12, <14, <16, <17

B. <7,<8,<11,<12,<15,<16,<17,<18

C. <7,<8,<11,<12,<16,<17

D. <11, <12

Answers

Answer:im going to play roblox

Step-by-step explanation:

What’s the slope of (-8,2) (1,9)

Answers

Step-by-step explanation:

equation of the line passing through two points

x-x1/x2-x1=y-y1/y2-y1

x-(-8)/1-(-8)=y-2/9-2

x+8/9=y-2/7

7x+56=9y-18

9y=7x+56+18

y=7/9x+74/9

y=mx+b m is the slope

so m=7/9

there is a short way showing slope shown in the picture

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

Answer:

the second one

Step-by-step explanation:

i did it in my head and double checked :)

Answer:

Store Z has the best sale price of $28

Step-by-step explanation:

Starting Price = $35

Store X offers 15% off = only 5.25$ off (0.15 * 35 = 5.25, 35 - 5.25 = 29.75) Final Price = $29.75

Store Y offers $5 off = only 5$ off (35 - 5 = 30) Finaly Price = $30

Store Z offers 1/5 off = only 7$ off (1/5 = 0.20, 0.20 * 35 = 7, 35 - 7 = 28) Final Price = $28 (BEST PRICE)

Line segment YZ was used to translate A B CDE. YZ is 6.9 inches long. What is the length of
A A ' + B B ' + C C ' + DD' + E E '?
The length of A A ' + B B ' + C C ' + DD' + E E ' is inches.

Answers

Answer:

34.5

Step-by-step explanation:

you are adding 6.9 together , or 6.9 x 5 = 34.5

6. The admission fee to an amusement park is $20. It
costs an additional p dollars to rent a locker to hold
your belongings. The total cost for 3 people to
enter the amusement park and each rent a locker is
$87. How much does it cost for one person to rent a
locker?

A. $9
B. $29
C. $10
D. $1

Answers

It is A. $9 because 9x3 is 27 which is the additional cost after the $20 for each person

HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

b) in the fourth round, there was one team left in the tournament.

c) no because with only one team left, the tournament ends.

Help out asap please!

Answers

Answer:1<x_<6 and the third line thing w the open circle (1) connecting to closed circle (6)

Step-by-step explanation:subtract 5 from both sides,

Rewrite the following using the GCF and the distributive property
:32 + 54

Answers

Answer:

GCF: 2

Step-by-step explanation:

GCF: 2

(2*16) + (2*27)

When Alexander moved into a new house, he planted two trees in his backyard. At

the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each

year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per

year. Let A represent the height of Tree At years after being planted and let B

represent the height of Tree Bt years after being planted. Write an equation for each

situation, in terms of t, and determine which tree is taller after 3 years.

Answers

Answer:

The equations for each situation are

A = 36 + 6t

B = 21 + 9t

After 3 years, Tree A is taller.

Step-by-step explanation:

From the question,

Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and

Tree A grew by 6 inches per year and Tree B grew by 9 inches per  year after planting.

For Tree A,

Given a period of t years after planting, the height would have increased by 6t

A = 36 + 6t

For Tree B,

Given a period of t years after planting, the height would have increased by 9t

B = 21 + 9t

To determine, which tree is taller after 3 years,

t = 3

For Tree A

A = 36 + 6t

A = 36 + 6(3)

A = 36 + 18

A = 54 inches

For Tree B

B = 21 + 9t

B = 21 + 9(3)

B = 21 + 27

B = 48 inches

Hence, After 3 years, Tree A is taller.

Multiply -2.6 (-3.4)=

Answers

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

A juice box has a length of 2 inches, a width of 1 inch, and a height of 4 inches. What is the volume of the juice box?

Answers

Answer:

8 in

Step-by-step explanation:

L × W × H = V2 × 1 × 4 = 8 in

I hope this helps!

In Ms. Renault's classroom, 2/5 of the students play sudoku. Of the student who play sudoku, 5/6 also play checkers. If there are 30 students in her class, how many play sudoku and checkers?

Answers

Answer:

10 students play sudoku and checkers

Step-by-step explanation:

First find the number of students that play sudoku

2/5 * 30

12

of those 12 students, 5/6 play checkers

12 * 5/6 = 10

10 students play sudoku and checkers

the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?

Answers

Answer:

0.6 because its 58% chance which is 0.58 which rounds to 0.6

Step-by-step explanation:

Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage

Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows

Estimated Fixed Cost

Estimated Variable Cost (per unit sold)

Production Costs:



Direct Materials


$48


Direct Labor


$38


Factory Overhead


$150,000


$25

Selling Expenses:



Sales salaries and commissions


$125,000


$10


Advertising


$50,000



Travel


$15,000



Miscellaneous selling expense


$10,000


$2

Administrative Expenses:



Office and officers' salaries


$140,000



Supplies


$10,000


$5


Miscellaneous administrative expense


$10,000


$2

Total


$510,000


$130



It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.

Answers

Answer:

Giving the following information:

Units sold= 450,000

Total Sales= $12,150,000

Total variable cost= $6,925,500

Total fixed cost= $3,242,673

First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.

Selling price= 12,150,000/450,000= $27

Unitary variable cost= 6,925,500/450,000= $15.39

Contribution margin per unit= 27 - 15.39= $11.61

To calculate the contribution margin ratio, we need to use the following formula:

Contribution margin ratio= contribution margin/ selling price

Contribution margin ratio= 11.61/27

Contribution margin ratio= 0.43

To calculate the break-even point both in units and dollars, we need to use the following formulas:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 3,242,673 / 11.61= 279,300 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 3,242,673/0.43= $7,541,100

Finally, we need to incorporate the desired profit to the break-even point formula:

Break-even point in units= (3,242,673 + 426,087) / 11.61

Break-even point in units= 316,000 units

Step-by-step explanation:

What do you think the important skills necessary in solving problems in differential calculus?

Answers

Answer:

idk if this helps but here:

Cutoff points are a crucial piece of calculus and are among the main things that understudies find out about in a calculus class. So, finding the constraint of a capacity implies figuring out what esteem the capacity approaches as it draws nearer and more like a specific point.

Step-by-step explanation:

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