A driver is 15 feet below the surface of the water 10 seconds after he entered the water and 90 feet below the surface after 40 seconds. What is the rate of change?

Answers

Answer 1

Answer:

[tex]\frac{-75ft}{30sec}[/tex] or simplified would be [tex]\frac{-2.5ft}{sec}[/tex]

Step-by-step explanation:

In order to calculate the rate of change, we must subtract his end position and end time by the starting position and starting time. We are using the -15 feet since it is below the surface area as the starting position and the 10 seconds as the starting time. We make each of these into a fraction and subtract like so...

[tex]\frac{-90ft - (-15ft)}{40sec - 10sec} =[/tex] rate of change

[tex]\frac{-75ft}{30sec} =[/tex] rate of change

[tex]\frac{-2.5ft}{sec}[/tex] = rate of change

Therefore, we can see that the rate of change of the diver is [tex]\frac{-75ft}{30sec}[/tex] or simplified would be [tex]\frac{-2.5ft}{sec}[/tex]


Related Questions

What is the answer to this I need help ASAP lol thanks :)

Answers

Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

Which is smaller 21/32 5/8 3/4 11/16

Answers

Answer:

5/8 is the smallest

Step-by-step explanation:

21/32=.656

5/8=.625

3/4=.75

11/16=.687

The ratio of students to teachers competing in a charity race is 8:3. If 48 students take part in the race, how many teachers are
there?

Answers

Answer:

8/3=48/x

Step-by-step explanation:

times both sides by 3 8=144/x

times x by both sides 8x=144

x=18

there are 18 techers

y is direcly proportional to x and y=27 when x=6find x when y=45

Answers

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

7.5

Step-by-step explanation:

45 divided by 6 i don't know but I just wanted to try

a^12b^7/a^9b^
Someone help me find the answer please

Answers

Answer:

[tex]a^{3}[/tex] * [tex]b^{2}[/tex]

Step-by-step explanation:

[tex]\frac{a^{12} * b^{7} }{a^{9} * b^{5} }[/tex]

Divide the equation (split the equation into parts), to show like terms;

[tex]\frac{a^{12} }{a^{9} }[/tex] * [tex]\frac{b^{7} }{b^{5} }[/tex]

Since dividing two numbers with exponents,( that have the same base), is equivalent to subtracting the exponents and retaining the base, hence:

[tex]a^{3}[/tex] * [tex]b^{2}[/tex]

Hey guys!!
Here's an easy puzzle for you...
Brainliest for the fastest and the correct answer..
So the question is- People make me, save me, change me and raise me.. Who am I
This is an easy one...​

Answers

Answer:

ithe answer is money

Answer:

money

Step-by-step explanation:

the answer is money because we make them save them change them and raise them

- klhat percentage of 40 is 8?​

Answers

Step-by-step explanation:

8/40 x 100% = 20%

Topic: percentage

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

help!!! I'm not really good at graphs so I also need an explanation please!​

Answers

Answer:

Hi, I think it's DEGF

Step-by-step explanation:

for y=x-2,

just move y=x down 2 units.

for x=-2,

it's the easiest one, just see if there is a vertical crossing -2 on the x-axis.

for-2x+4,

you can see it as move y=-2x up 4 units, and for y=-2x, you can find it out by sub (1,-2) and (0,0) onto the graph.

for x²-4,

see it as y=x² moved down 4 units. for y=x², it's simply a parabola which is symmetrical along y-axis and crossing (0,0). And remember that since the coefficient of x² is positive, the graph is open upward.

Hope this will help u!!

An ice cream shop had 316 customers the first weekend it opened. The second weekend it had 468. What is the percent of increase in the number of customers? Round to the nearest percent.

Answers

Answer:

48%

Step-by-step explanation:

Given that,

No of 316 customers the first weekend it opened.

The second weekend it had 468.

We need to find the percent of increase in the number of customers.

The formula of percentage is given by :

[tex]\%=\dfrac{|\text{old number-new number}|}{\text{old number}}\times 100[/tex]

Here, old number = 316 and new number = 468

So,

[tex]\%=\dfrac{|316-468|}{316}\times 100\\\\\%=48.10\%[/tex]

or

% = 48%

So, the percent of increase in the no of customers is 48.

which equation represents the inverse, f^-1(x), of the function f(x)=3x+1

Answers

sorry, I didn't know it was inverse

The Inverse equation is
F^-1 (x)= X/3 - 1/3

To find the inverse, interchange the variables and solve for y.

to increase an amount by 19% multiple by?

Answers

To increase an amount by 19% you need to multiple the amount by 1.19

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

What will be the slope of (3,-4) and (1,2)

Answers

Answer:

[tex]\boxed {m = 1}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First Point: [tex](x_{1}, y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](3, -4)[/tex]

Second Point: [tex](1, 2)[/tex]

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

-Solve for the slope:

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

[tex]m = \frac{-2}{-2}[/tex]

[tex]\boxed {m = 1}[/tex]

Therefore, the slope is [tex]1[/tex].

Solve 3.8 = p/3 - 7.2.

p =

Answers

Answer:

The answer is p=33.

Step-by-step explanation:

First you need to add 7.2 to the both sides in order to get rid of 7.2. On the left hand side, you'll have 11.0, directly 11. Since, [tex]\frac{p}{3} =11[/tex] multiply the both sides with 3, and you'll get p=33.

please help me this due today by 3:00. When 12 is subtracted from 3 times a number, the result is 24. Find the number. Write the equation and solve for the variable.

Answers

Answer:

12

Step-by-step explanation:

3n-12=24

+12 on both sides

3n=36

divide by 3

n=12

What’s the right answer?

Answers

Your answer will be y<-3

i cant figure out the answer​

Answers

Answer: 3/10

Step-by-step explanation: times

Answer:

18

Step-by-step explanation:

[tex]\frac{1}{5}[/tex] × 60 = 12 ← number who chose basketball

[tex]\frac{1}{2}[/tex] × 60 = 30 ← number who chose volleyball

That is a total of 12 + 30 = 42 students

Since the remaining students chose soccer, then

60 - 42 = 18 ← number who chose soccer

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Answers

Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?

Answers

12 becaus math sucks

3/4X - 9 = 27 what does x equal?

Answers

Answer:X = 48

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

The value of x in the equation given 3x/4 - 9 = 27, is 48.

Given is an equation, 3x/4 - 9 = 27, we need to find the value of x,

To find the value of x, we can solve the given equation step by step. Let's go through the process:

Start with the equation:

3x/4 - 9 = 27

To eliminate the fraction, we can multiply both sides of the equation by 4:

4 × (3x/4 - 9) = 4 × 27

Simplifying, we have:

3x - 36 = 108

Add 36 to both sides of the equation to isolate the variable:

3x - 36 + 36 = 108 + 36

Simplifying further:

3x = 144

Divide both sides of the equation by 3 to solve for x:

(3x) / 3 = 144 / 3

This gives us:

x = 48

Therefore, x equals 48 in the given equation: 3x/4 - 9 = 27.

Learn more about Equations click;

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This question is designed to be answered with a calculator.

Which are the solutions to the equation cos x = 0.9 over the interval 0 ≤ x ≤ π?

0.451 only
0.622 only
0.451 and 2.691
0.622 and 2.520

Answers

Answer:

0.451

Step-by-step explanation:

When you do cos^-1 0.9 ~ .451

You can’t add pi because you have an interval.

Hope this helps :)

A store sells mugs. Each mug cost the same amount.

Answers

Answer:

nobody won't be able to answer this without some more details.

Answer:

that's nice

Step-by-step explanation:

if u actually need help ask this question again or put the whole question in the comments section

ur welcome


HELP ASAP ! NEEDANSWERS

Answers

Answer:

y-axis

Step-by-step explanation:

The shape is reflected across the y-axis which is the vertical axis.

Answer:

Reflection over the y-axis

Step-by-step explanation:

It flips from left to right or OVER the y-axis.

Which ordered pair is a solution to the system?

Answers

(3,1)



Hope this helps :))
I think the answer is (3,1)

Please find the value of x. x + 7 = -9

Answers

Answer:

-16

Step-by-step explanation:

x + 7 = -9              

  - 7    - 7               Subtract 7 on both sides

x = - 16

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

  - 7     -7

           -16

Measure of angle A : 3x

Answers

Answer: 11 degrees

Step-by-step explanation:

Find a point on the line and the line's slope.
y+2= {(1/2x+5)
point on the line:
slope:

Answers

Answer:

y-intercept: 3 slope: 1/2

Step-by-step explanation:

Divide using synthetic division. (x^3-4x+6)/(x+3)​

Answers

Answer:

x^3-4x+6 / x + 3

Step-by-step explanation:

X^2 - 3x + 5 9/x + 3

What is the y-intercept of this graph?
A. 0
B. 2
C. 4
D. 8

Answers

Answer: 0

Step-by-step explanation:

The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).

Always remember that you read coordinates as (x,y) which..

X is how many spaces right or left

Y is how many spaces up or down.

Answer:

A. 0

Step-by-step explanation:

If you can look at the graph it crosses the y-axis exactly at the origin which is 0. This makes 0 the y-intercept because the line intercepts the y-axis at the point (0,0) making our solution A: 0

If you think my answer was helpful please make it the brainliest that would be much appreciated. Thanks! :D

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assuming that field goal attempts can be considered random events, what is the probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line?

Answers

Answer:

Step-by-step explanation:

answer should be 0.39

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is 0.39.

What is the probability?

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

Given:

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line.

Assuming that field goal attempts can be considered random events.

P = 0.85

n = 5

Standard deviation = √{5 x 0.85 x (1 - 0.85) = 0.79

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is,

= P (X ≥ 4)

= P (X ≥ 3.5)

= 1 - P(X < 3.5)

= 0.39

Therefore, the probability is 0.39.

To learn more about the probability;

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MULTIPUL ANSWER CHOICE GIVE ME MORE THAN 1 ANSWER AND MAKE IS CORRECT! PLEASE AND THANK YOU!




Which statements about opposites are true?

Select each correct answer.


The opposite of the opposite of a number is the number itself.

The opposite of a number is 1 divided by that number.

The opposite of a number is always a negative number.

A non-zero number and its opposite are located on opposite sides of zero on a number line.

Answers

Answer: The opposite of the opposite of a number is the number itself. And the opposite of the opposite of a number is the number itself.

Step-by-step explanation:

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