High divers use the height of the diving platform to calculate the speed at which they enter the
water. The formula 58-34-12 models the diver's speed s (in miles per hour) and the height
h (in feet) of the platform.
a. Solve the formula for 3 and for h
b. At what speed does a diver enter the water when the platform is 82 feet tall?
c. A diver enters the water at 48 miles per hour. How tall is the platform?

Answers

Answer 1

a. 3h = -12 + 5s

b. Speed = 51. 6 miles per hour

c. Height = 76 feet

How to determine the value

Given the function;

5s - 3h = 12

Where;

s is the speed in miles per hourh is the height in feet

a. To solve for 3h

We have;

- 3h = 12 - 5s

3h = -12 + 5s

b. If the height is 82 feet , then

5s - 3(82) = 12

5s - 246 = 12

collect like terms

5s = 12 + 246

5s = 258

Make 's' the subject

s = 258/ 5

s = 51. 6 miles per hour

c. If the speed is 48 miles per hour, we have;

5(48) - 3h = 12

240 - 3h = 12

collect like terms

-3h = 12 - 240

-3h = -228

Make 'h' the subject

h = -228/ -3

h = 76 feet

Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.

Learn more about speed here:

#SPJ1


Related Questions

solve for x 3x + 6y = 9

Answers

X = 1
Hope this helps!

Complete the equation.
(8 x 3) x 3 =
× (3 x 3)

Answers

Answer:

x=0

Step-by-step explanation:

Find the probability of a point chosen at random being in the shaded area of the diagram at the right

Answers

Answer:

1/2

Step-by-step explanation: because it is shaded or not

C) g(x) = (4-5x)²

If it’s even or odd

Answers

Answer:

odd

Step-by-step explanation:

the answer is odd, my dead grandma just finished this question since she failed 7th grade.

help plsssssssssssssssssssssssssssssss

Answers

Answer:

The answer is D

Mr. Arcos is opening a new restaurant. His restaurant has 8 tables with places for 4 people at each table. It also has 4 tables with places for 6 people at each table.

Today he is buying plates for the restaurant. The plates he is buying come in sets of 6 plates. How many sets of plates does he need to buy?

Answers

He needs to buy 10 packs, you have to round up to 10 because it’s around 9.3333

In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.

To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.

There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.

Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.

Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.

Learn more about the topic of Mathematics here:

https://brainly.com/question/27235369

#SPJ2

Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?

Answers

Answer: 4289

Step-by-step explanation:

Total = 2400+(2400-511) = 4289

Answer: 4289 meters

First subtract 511 from 2400 to determine how many meters ran on Tuesday, which is 1889 meters. Then add 2400 and 1889 to get you total meters for both days, which is 4289 meters.

Which of the following statements models deductive reasoning?

I own a mean cat. My friend Lisa owns a mean cat. Therefore, all cats are mean.

People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

There has been a hurricane in Florida every August for the past two years. Therefore, there will be a hurricane in Florida in August this year.

Every test in Mr. Johnson’s class this year has been easy. Therefore the test in Mr. Johnson’s class today will be easy.

Answers

Answer:

B.

Step-by-step explanation:

Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.

Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

Step-by-step explanation:

Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.

Can someone answer these??

Answers

the first one would be a to the 48 power

which expression is equivalent to 25s^3+12s/5s

Answers

Answer:

A

Step-by-step explanation:

1 Factor out the common term ss.

\frac{s(25{s}^{2}+12)}{5s}

5s

s(25s

2

+12)

2 Cancel s.

\frac{25{s}^{2}+12}{5}

5

25s

2

+12

A 24 oz bottle of a new soda costs $3.33. What is the unit rate, rounded to the nearest tenth of a cent?

Answers

$0.13 is the Unit rate I figured it out by dividing $3.33 by 24…

−2 (x + 1/3) + 9x = 4

Answers

Answer:

X= 2/3

Step-by-step explanation:

-2(x+1/3)+9x=4

Distribute: -2x-2/3+9x=4

Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3

Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1

Divide: X=2/3 ------ 14/21÷ 7/7=2/3

X=2/3           Hope This Helps :)

Answer:

[tex] \sf \large \: x = \frac{2}{3} [/tex]

Step-by-step explanation:

−2(x+1/3)+9x=4

Step 1: Simplify both sides of the equation.

−2(x+1/3)+9x=4

(−2)(x)+(−2)(1/3)+9x=4(Distribute)

−2x+−2/3+9x=4

(−2x+9x)+(−2/3)=4(Combine Like Terms)

7x+−2/3=4

7x+−2/3=4

Step 2: Add 2/3 to both sides.

7x+−2/3+2/3=4+2/3

7x=14/3

Step 3: Divide both sides by 7.

7x/7 = 14/3/7

x=2/3

What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)

A. -1
B.-9
C. 1
D. 0
E.9

Answers

This is given by the limit

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]

Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives

[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]

so that

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]

(A)

Question 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6

Answers

Answer:

0.06

Step-by-step explanation:

0x x it expand almost done ✅✅✅

Absolute value of -3 is

Answers

Answer:

Step-by-step explanation:

The absolute value of -3 is 3.

Answer: 3

Step-by-step explanation:

Which of the following is the graph of y = |x-3l?

Answers

Answer:

You only show one answer A. Lucky for you it's the correct one.

Step-by-step explanation:

The figure above is the aerial view of a parking lot
where the rectangles represent the entrances and
the circles represent the exits. What is the total 401
number of ways a driver can enter and exit this
parking lot?
A. 4
B. 7
C. 10
D. 12

Answers

Answer:

12

Step-by-step explanation:

There are 4 entrances and 3 exits, and thus 4(3)=12.

5(g + 8) - 7 = 117 - g

Answers

Answer: g=14

Step-by-step explanation:

5(g + 8) - 7 = 117 - g

5g+40-7=117-g

5g+33=117-g

6g+33=117

6g=84

g=14

[tex]5(g + 8) - 7 = 117 - g[/tex]

[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]

[tex]5g + 40 -7 = 117 -g[/tex]

[tex]6g = 117 - 40 + 7[/tex]

[tex]6g = 84[/tex]

[tex]g = 94 : 6[/tex]

[tex]g = 14[/tex]

I've managed to find the area of the shape I just need help stating the units of my answer

Answers

It should be in centimetres squared (cm²)
Answer is cm2

They give you “cm” in the measurements
You are looking for cm2 or cm3?


The way I remember units (squared or cubed)
If it is two numbers multiplied it’s value is squared “X^2”
Two numbers is a two dimensional figure, it is flat <>
Example is 1/2 base x height is squared


If it is three numbers multiplied it is cubed
“X^3”
Three numbers is a three dimensional shape like a cube or

Example L x W x H is cubed

Express the ratio below in its simplest form.
15:10

Answers

Answer:

3:2

Step-by-step explanation:

Divide 15 and 10 by 5.

Help me solve it please and include step by step.​

Answers

The slope of the line AC is equal to the slope of the line CE.

We have the points:

A = ( - 3 , 6 )

C = ( - 1 , 3 )

Slope of AC will be:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )

m₁ = - 3 / 2

m₁ = - 1.5

Now,

C = ( - 1 , 3 )

E = (3 , - 3)

Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )

m₂ = - 6 / 4

m₂ = - 3 / 2

m₂ = - 1.5

So, we get that:

m₁ = m₂  

Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ9

find the measure of angle C of triangle ABC if:

Answers

Answer:

∠C = 180 - 3α

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

So A + B + C = 180

C = 180 - (A + B)

= 180 - (α + 2α)

= 180 - 3α

Elizabeth has 4 boxes of 100 toys and 3 toys that aren't in boxes. How many toys does she
have?

Answers

She has 403 right? It’s the only thing that makes sense

Answer:

Elizabeth has 403 toys.

Step-by-step explanation:

The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.

I hope this helps, have a blessed day! :D

The median home price in the United States over the period 2003-2011 can be approximated by P(t) = −5t2 + 75t − 30 thousand dollars (3 ≤ t ≤ 11), where t is time in years since the start of 2000.†
Find P'(t) and P'(7).
P'(t) =
P'(7) =
What does the answer tell you about home prices? HINT [See Example 2.]
The median price of a home was increasing at a rate of $ ___ per year in ____.

Answers

The value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

It is given that median home price is represented by P(t) = -5t² + 75t - 30.

We have to find out the values of P'(t) and P'(7).

What is differentiation ?

Differentiation is a method in which the function's rate of change compared to the rate of change of the independent variable is calculated.

As per the question ;

The equation given is ;

P(t) = -5t² + 75t - 30

So ;

Differentiating the above equation with respect to t , we get ;

[tex]\frac{d}{dt}[/tex] (P(t)) = [tex]\frac{d}{dt}[/tex] ( -5t² + 75t - 30 )

[tex]\frac{d}{dt}[/tex] (P(t)) = P'(t) = -5 × 2 × t + 75

⇒ P'(t) = -10t + 75

And

The value of P'(7) will be ;

P'( t = 7) = -10 × 7 + 75

P'(7) = - 70 + 75

P'(7) = 5

Also ;

P(11) = 190

P(3) = 150

And

The rate of change of price will be ;

[tex]\frac{P(11) - P(3)}{11 - 3}[/tex]

= 190 - 150 / 8

= 40 / 8

= 5

Thus , the value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

To learn more about differentiation click here ;

https://brainly.com/question/23062809

#SPJ1

Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0

Answers

Hi shhshwvsgxs sidhvxhdh surgdvcudu d dhdhdbd

28/48 simplified how do you simplify????????????????????

Answers

The answer is 7/12 on your simplification

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

The principal interest formula I = Prt can be used to find the interest earned on an initial amount of money, called the
principal, P, given an interest rate, r, and an amount of time over which interest is accrued, t. Solve I = Prt for P when
I = $5,480, r = .04 annual interest, and t 7 years. Round your answer to the nearest hundredth.

PLEASE HELP GUYS

Answers

Answer:

1885.714

Step-by-step explanation:

I = ptr

5280 = 7×0.4×p

p = 5280/2.8

p = 1885.7

last question is How many people carried a tablet but not a cell
phone?

Answers

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

use the graph of the following function f(x) to find f(1)

Answers

From the graph of the function y = x - 1, it is found that f(1) = 0.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.

How to find the numeric value of a function given a graph?

To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.

For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

still trying to find help solving. Today is the last day, can someone help?​

Answers

Answer:wow we have the same homework

Step-by-step explanation:

Hey I was unsure on 4&7 but I did my best. Anything of the style of slopes that said N/A I’ll be honest I didn’t know. I strongly recommend going to your teacher and asking for help if you need it. Also, little tip, the more points you offer for a question (especially one with an entire worksheet), the more likely you are to get answers. I hope I was at least some help :)
Other Questions
once submitted, who can cancel an enrollment application before the effective date? a. the client b. the clients writing agent, as long as they do so before the effective date of the plan c. the clients doctor d. both a and c using a electron miscroscope, jane measured a rod-shaped bacterium and found it to be 0.00099345 meters in lenght. list the steps she should take to represnt this number psychologists sometimes testify in criminal trials about the potential mindset of a perpetrator at the time a crime was committed. Find the slope-intercept form of the line through (1,3) and (7,8) 4. Juan has 28 paperback books that measurere 1 1/4 inches each, how many books will fit on oneshelf if each shelf measures 30 inches? What is the next fraction in this sequence?Simplify your answer. 1/2, 4/7, 9/14, 5/7,.... What inequality represents all the values of x for y Is this statement true or false? There is nothing we can do to help prevent soil erosion. Only scientists and farmers can work on solutions. using information systems to develop extensive knowledge of your customers, thereby providing high-quality customer service, . Question ProgressHomework Progress24 / 63 Marksa) Work out the value of (15)* (3)?xb) Work out the value of (19) (30) ?x1 1454% what is osmosis and what are the function Order the square root of 70, negative 8.2 repeating, twenty five thirds, and negative eight and four sevenths from least to greatest. negative eight and four sevenths, negative 8.2 repeating, square root of 70, twenty five thirds negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, square root of 70, twenty five thirds Square root 3 x square root 2 x square root 5 tructions 1. Investigate the various causes, consequences, prevention and rehabilitation of substance abuse in South Africa. You will need to do some of the following: a.) Go to your library to find books dealing with this topic. b.) Look through newspapers that might have articles dealing with the topic. c.) Consult internet to find information on the topic. d.) Speak to people who are affected by substance abuse or whow know about it. marcy drew a scale drawing of a petting zoo. the goat pen, which is 9 meters wide in real life, is 15 centimeters wide in the drawing. what is the scale of the drawing? Answer the following questions WILL GIVE BRAINLIEST To get to 1, divide 60 byFrom 1, multiply byOR, in a single step, multiply 60 byto get to 25.to get to 25. Submit Answer While tokubei and the host are arguing about whether tokubei should send for money, what does zenta decide to do, and how does the host respond? If you were given the task to teach the concept of "American Puritanism" to a friend, what are 5 significant facts that you would convey to help them understand the big picture? The measurement of the meter stick