The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. When will the diver reac maximun height

Answers

Answer 1

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.


Related Questions

An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?


A. 27 Square Feet
B.45 Square Feet
C. 28.5 Square Feet
D. 57 Square feet


(the top of the rectangle is 2 if you can’t see it.)

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 57 Square feet

Step-by-step explanation:

So first you do 4.5x2=9.0 then you times that by 2 so 9.0x2= 18

Next, you do 4.5x3= 13.5 then you times that by 2 so 13.5x2= 27

Lastly, you do 2x3 on one side and 2x3 on the other side. For both of those you get 6, so you do 6+6 and you get 12

Finally you do

18+27+12=57

The area of a rectangle is 96 square kilometers. Its width is 4 km less than its length.
Find its dimensions.
(please no links)

Answers

The length is 12 km and the width is 8 km
12x8=96

My favorite bagel shop has 12 types of bagels, 10 types of cream cheese, and can choose to have it toasted or not . How many different bagels can order?

Answers

Answer: 240

Step-by-step explanation:

Given

Shop has 12 types of bagels, 10 types of cream and a option for roast

For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast

So, total no different bagels that can be made out of the given is

[tex]\Rightarrow 12\times 10\times 2\\\Rightarrow 240\ \text{types}[/tex]

Find the value of x, (x-7)°(2x+1) °
Pleas help!!!!

Answers

Answer:

x = 32

Step-by-step explanation:

2x+1 + x-7 = 90

3x - 6 = 90

3x = 96

x = 32

Graph the equation.y=5(x−1)^ 2 −5

Answers

Answer:

Step-by-step explanation:

The Jones family is expecting another baby. They have a 7 year old
boy and a 3 year old boy. What is the probability of having a girl?

Answers

Answer:

50%

Step-by-step explanation:

it is always 50%

the probability would not change even if you had 100 boys in a row

50%

Explanation
It will always be a 50/50 when having a child or any kind of relationship to that kind of thing

Eight people were asked what the balance of their checking account at the beginning of this past week was and how much it increased or decreased by the end of the week.

Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the checking account in hundreds of dollars.



Name
Beginning balance

(in thousands of dollars)

Change in checking account

(in hundreds of dollars)

Billy 6 6
Barbara 4 5
Eli 3 2
Ken 1 5
Lara 8 4
Lindsey 3 8
Marie 4 2
Eduardo 5 3

Answers

Billy because she has has has beginning balance

Answer:

:D

Step-by-step explanation:

:DDDD

What value of x can make 4x-10=18 true?

Answers

Answer:

Im pretty sure 7

Step-by-step explanation:

4×7=28 28-10=18

Answer:

7

Step-by-step explanation:

[tex]4(7) - 10 = 18 \\ 28 - 10 = 18 \\ 18 = 18[/tex]

Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4​

Answers

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

Answer:  B) -1/4

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

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

-------------

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

To the nearest tenth, what is the length of the hypotenuse of a right triangle whose legs are 9 centimeters and 14 centimeters

Answers

Use pythagorean theorem
Hope this helps xoxo


You are going to Store E and your friend is going to Store F. Where on line n should you park to minimize the
distance you both will walk?

a. point Y
b. point G
c. point P
d. point 1

Answers

Your answer for that is gonna be point P

Type the missing number that makes these fractions equal:?/84=18/28

Answers

Answer:

la respuesta es 54/84

Step-by-step explanation:

54/84=0,642857

18/28=0.642857

Giving brainlist to whoever answers

Answers

Correct answer is B
10/15=.666
This is RW divided by RT
Now you have to use the scale factor. Multiply by 18 to get WV
18 x 0.666 = 12

Good Luck Thnks for brainiest :)

8,706, 2812
What is the value of 7

Answers

Answer:

7 million is the answer to this question

Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP

Answers

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

Speed = 156 feet per seconds.

To convert the value of speed in feet per seconds to kilometers per hour:

What is speed?

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

Jason used the commutative property to write an expression that is equivalent to 3 4 + 5.6b + 9. 3 4 + 5.6b + 9 is equivalent to 9.0 + 56b + 3.4. Is Jason’s work correct?

Answers

Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

I need to find the value of x

Answers

Answer:

15°

Step-by-step explanation:

x= 89-44-30= 15°

:))

It costs $8.31 to power one laptop computer for one year. How much does it cost to power 10 laptop computers for one week? Round to the nearest cent

Answers

Answer:

63

Step-by-step explanation:

There are 52.143 weeks in a year so 52.143/8.31=6.3

So 10 x 6.3= 63

Solve for x. Round your answer to the nearest tenth.
14.
х
11
X=
type your answer...

Answers

Answer:

8.7

Step-by-step explanation:

14² - 11²  = x

196-121= 75

√75= 8.66

so rounding it would be 8.7

X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft

Answers

70ft is the answer I think

Mangle XYZ is shown witch triangle must be similar to triangle XYZ

Answers

Answer:

A

Step-by-step explanation:

A triangle with two angels that mesure 40

can someone help me

Answers

i believe the equation would be: [tex]3+\frac{1}{4} c=9[/tex] and there would be 24 pieces of cake! <3

plzzzzz help will mark brainliest

Answers

answer: -5.3’ Fahrenheit

AREA OF CIRCLES PLS HELPP​

Answers

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

A 4-cup bottle of shampoo costs $24.84. What is the price per pint?

Answers

$20.28

hope its helpfull .....

crikey expression to show whether it is equivalent to 3 * 9 or to 2x3x9​

Answers

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Pls, help me with this question

Answers

Answer:

37.5

Step-by-step explanation:

∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc.

If arc AC = 75

Then x = [tex]75\frac{1}{2}[/tex]

75 / 2 = 37.5

Hence, x = 37.5

the answer is
37.5 :)

HELP ASAP!!.
50/5+2- [3+9] -3+7
Please show work

Answers

Answer:

4

Step-by-step explanation:

50/5+2-[3+9]-3+7

=10+2-12-3+7

=12-12-3+7

=-3+7

=4

Answer:

the correct answer is 4

Step-by-step explanation:

first your going to calculate the parentheses

[3+9]=12

which leaves the equastion as

50/5+2-12-3+7

then multiply and divide going left-right

50/5=10

which makes the equastion

10+2-12-3+7

then add and subtract going left to right so it would be

10+2=12-12=0-3=-3+7=4

choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)

Answers

Answer:

ACE

Step-by-step explanation:

✓ A. (0, 0) [y < 3x + 2 → 0 < 2]

× B. (0, 2) [y < 3x + 2 → 2 < 2]

✓ C. (1, 4) [y < 3x + 2 → 4 < 5]

× D. (1, 7) [y < 3x + 2 → 7 < 5]

✓ E. (2, 6) [y < 3x + 2 → 6 < 8]

× F. (2, 8) [y < 3x + 2 → 8 < 8]

A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in minutes). Which of the following defines a formula for computing the time, 1, as a function of the volume, v?​

Answers

You have to provide the options
Other Questions
Newsela -meet president joe Biden which court case allowed american to practice the separate but equal clause The number of molecules in 1.00 liter of O2 gas at 56C and 821 torr is1. 1.83 1025 molec. 2. 32 molec.3. 2.24 1023 molec. 4. 2.41 1022 molec. 5. 4 102 molec. how was nixon punished for his role in the watergate scandal? The total cost of an item, the price plus tax, can be calculated using the expression shown in the box, where p is the price of the item.1.0725pWhat is the tax rate as a percentage?0.0725%0 point 0 7 2 5 percent0.725%0 point 7 2 5 percent7.25%7 point 2 5 percent72.5% Can someone plz help me out with this I will really appreciate it no links plz Which of the following is not a guideline used in determining the correct tensefor a verb?A. Shift tense in order to indicate a change in time frame from oneaction to anotherB. When writing a paragraph or an essay, set a primary tense and useoccasional shifts to other tenses to indicate changes in time frameC. Don't shift from one tense to another if the time frame for twoactions is the sameD. Shift between past and present tense as often as necessary whenwriting about literature, but do not use the future tense how does light affect poultry production? Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?I've attached the picture for the problem. If A and B are mutually exclusive events then the probability of A happening OR the probability of B happening is P(A) + P(B). 5. Michelle sells flowers for weddings. Theprice she charges (P) can be approximated bythe equation: P = 40 + 12d , where drepresents how many dozens of flowers areordered. Ann paid Michelle $400 for theflowers at her wedding. How many dozens offlowers did Ann order?A. 37B. 30C. 25D. 22 Which sentence best describes how the setting helps to resolve the internal conflict in the passage?1. Vic must face his fear of failure by joining the actors on the stage.2. Vic must compete against other candidates for a place in the summer program.3. Waiting with the other candidates causes Vic to realize that others have talents, too.4. Being in the theater gives Vic the understanding that the interview will not determine his fate. Every quadrilateral has a line of symmetry.trueFalse hii! ill give brainliest pls help Which phrase in Martin Luther King, Jr.s "I Have a Dream" speech is an example of an allusion?with its vicious raciststhe great vaults of opportunitylet freedom ring from every hillthe solid rock of brotherhood Match the solutions to the descriptions of the freezing points.a. One mole of the ionic compound Na3PO4 dissolved in 1000 g H2O b. One mole of the ionic compound CuSO4 dissolved in 1000 g H2O c. One mole of the nonelectrolyte C6H12O6 dissolved in 1000 g H2O1. Highest freezing point 2. Intermediate freezing point 3. Lowest freezing point Use the graph to identify whether there is linear association, nonlinear association, or no association. How is the conflict between Hus and the church, tied to the conflict between the Czech and Germans during this period?How was Hus executed?What conflict followed the execution of Hus? The circumstances of a circular painting is 9.42 feet what is the diameter of the painting use pi Can work ever be negative?A)Yes, when force is negativeB)Yes, when displacement is negativeC)Yes, when cos(e) is negativeD)No, work can never be negative