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

Find the slope of the line and that passes through (7, 2) and (-7, 48)

Answers

Answer:

-23/7

Step-by-step explanation:

y2 - y1 / x2 - x1

48 - 2 / -7 - 7

46 / -14

= -23/7

2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next

Answers

Answer:

212×2×2×8×2×2×2×6= 325636

I hope the answer is correct. I hope I will get 5points

Answer:

2 units i hope this helps you

(1,5), (9,85), (2,10),(6,38),(4,3),(12,107),(7,64), (12,86) ,(7,47), (9,64), (4,27) The line is in the form y=mx+b.y=mx+b. What is the value of m?m? Enter your answer as a number with two decimal places, like this: 3.14

Answers

Answer:

y=10x-5

Step-by-step explanation:

should be the right answer since I used a calculator :p

20 points pls answer

Answers

The answer to the first one is 0.879 and the second is 50%

Solve the equation:
2 + y/3 =8

Answers

Answer: y = 18.
First subtract 2 on both sides.
y/3 = 6
Then multiply 3 on both sides.
y = 18
Hope this helps!

Find the missing side of the triangle.
PLEASE NO LINKS- I WILL REPORT YOU.
Need help-
Thank you!!!

Answers

Answer:

11.7 cm

Step-by-step explanation:

Pythagoream Theorem:

[tex] {11}^{2} + {4}^{2} = {x}^{2} \\ 121 + 16 = {x}^{2} \\ 137 = {x}^{2} \\ \sqrt{137} = x \\ 11.7 = x[/tex]

Hope this helps!!

Solve for x. Express your answer as an integer or integers or in simple radical form .

Answers

Answer:

Below in bold.

Step-by-step explanation:

- 5 - x^2 = -10

-x^2 = -10 + 5

-x^2 = -5

Divide through by -1:

x^2 = 5

x = -√5, √5.

f(x) = -x^2
Find f(-6)

Answers

Answer:

36

Step-by-step explanation:

f(x)=x^2

f(-6)=-6^2

negative number raised to even number gives positive result

=36

A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answers

Answer:

A] Probability = 1/n ; B] Number = 8

Step-by-step explanation:

Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1

A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n

Alternative, Prob  (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ]  = 1 / n

B] Prob (each color , a blue & red counter taken) = 0.125  {Given}

By A], this Prob = 1/n.

So, 0.125 = 1/n → n = 1 / 0.125 = 8

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric.

Answers

Answer:

The answer is below

Step-by-step explanation:

A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.

From the image attached:

Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²

Area of base = 3 m * 3 m = 9 m²

Since the sides are covered in blue fabric, hence:

Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²

The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²

plsss anybody help no links more files they are viruses

Answers

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

A racing car travels around a 2k circuit at 120km/h.
How many laps will it complete in
a) 30 mins b) 1 hour 12mins?​

Answers

1k 2k 15k

Step-by-step explanation:

cgziaaoaoiaaiwjwjahBZHZISKANA S S

Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?

Answers

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

What is the equation of the trend line in the scatter plot?

Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.

Answers

Answer:

y = 5/8x + 9

Hope this helps!

3x-8y=24
y=x-8
Please show
work

Answers

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

Answer:

x = 8, and y = 0

Step-by-step explanation:

We can solve this by taking y as (x-8), as it states there.

Since y is equal to x-8, we can rearrange the system of equations into one single equation.

We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.

Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.

We can now organize our equation here.

3x - 8x + 64 = 24.

We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.

We will get something like:

3x - 8x + 64 - 64 = 24 - 64.

Simplify by solving like terms like the x value and the integers.

-5x = -40

Divide both sides with division property of equality:

-5/5x = -40/5

x = 8

We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.

y = (8) - 8

y = 0

Therefore, x = 8, and y = 0.

Hola, ¿cómo está tu día?

Answers

Answer:

Muy bien, y usted?

Answer:

es una pregunta o necesitas eso traducido al inglés ¿?

13. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?

Answers

Answer:

6 is the answer

Step-by-step explanation:

A stick is cut into 8 equal pieces. If each piece were 10cm shorter,we could have cut the original stick into 12 equal pieces. How long is the stick?

Answers

Answer:

240 cm

Step-by-step explanation:

8x=12(x-10)

8x = 12x -120

120 = 4x

30 = x

Help meeeeeeee!!!!!!!

Answers

c sorry if i’m wrong btw

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

good luck on finals week :)

Answers

you too ty :)

ilysm and you matter <3

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

What is the correct answer?

Answers

pink , pink is always right

Answer:

pink

Step-by-step explanation:

,pink is the only logical option

what 10+10+10+10+10+10+9=

Answers

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

Help please I don’t understand this! Giving brainliest!

Answers

Answer:

200

Step-by-step explanation

100+400=500  BUS

300+400=700 SPORTS

sports-bus

700-500=200

Answer:

300 + 400 = 700

Step-by-step explanation:

Play sports, : 300 + 400 = 700

Don't play,     : 200 + 100 = 300

               

Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)

Answers

Answer:

20x +80y -60 hope this helped:)

Step-by-step explanation:

Which expressions are equivalent to the one below? Check all that apply log2-log4

Answers

Answer:

-log(2)

Step-by-step explanation:

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

THIS IS URGENT PLZ HELP!!!

Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54

Answers

Answer:

12

Step-by-step explanation:

2

4

6

8

10

12

14

16

18

20

22

24

26

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{6}[/tex] units = g

Step-by-step explanation:

You can solve this either of the 2 ways:

#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]

=> Sin(60) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]

=> Cos(30) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

Hope this helps!

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