As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed​

Answers

Answer 1

Answer:

c because the distance is important


Related Questions

Write the equation of a line parallel to the line y=2x

Answers

Answer:

to create an equation that is parallel to a line, you keep the slope or rate of change the same, all you do is change the y intercept. so you have to keep

y = 2x, but then you can add any number to the end.

What’s the answer to this? (2 * 198) - 1073 + 20/92 divided by 173/28

Answers

Answer:

if you have and piece of clothing that was left behind.

Step-by-step explanation:

1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x

Answers

Answer:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]

And we want to determine the intervals for which the function is increasing or decreasing.

We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.

To find the critical points, we need to find the first derivative and then solve for the x. So:

[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]

Differentiate:

[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]

Set the derivative equal to 0 and solve for x:

[tex]0=3x^2-11x-4[/tex]

Factor:

[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]

Zero Product Property:

[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]

Therefore, our critical points are -1/3 and 4.

We can thus sketch the following number line:

<————-(-1/3)——————————————(4)—————>

Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.

For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:

[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]

The result is positive.

Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).

For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:

[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]

The result is negative.

Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).

And finally, for greater than 4, we can use 5:

[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]

The result is positive.

Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.

Therefore:

[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]

In interval notation:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)

3
when p = 4 and q=34
q
=
3
4
.

Answers

Answer:

=pq+12p

Step-by-step explanation:

p(12+q)

=(p)(12+q)

=(p)(12)+(p)(q)

=12p+pq

Answer:

Its 2

Step-by-step explanation:

Just did this, please give brainliest!

What is the y-intercept?

Answers

The y intercept is 2,8

Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2

Answers

Answer:

Step-by-step explanation:

Given

L=6

W=15

H=4

Solution surface area of the figure=2(lb+bh+hl)

=2(6×15+15×4+4×6)

=2(90+60+24)

=2(174)

=348m^2

Replace the with <, >, or = to make the statement true.
5 0-3

Answers

5>0-3

Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers

Answer:

5>0-3

Step-by-step explanation:

How many ways are there to pick 5 people from a committee be of 9 people?​

Answers

Answer: 3024 ways

Step-by-step explanation: 9*8*7*6*5=3024

Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Answers

Answer:

b

Step-by-step explanation:

Answer:

b.

1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Step-by-step explanation:

IT'S B

WILL GIVE BRAINLIEST Katya is wanting to put artificial turf in her back yard. Her yard is 20 feet by 30 feet. She figures that she will need the drainage rock under the turf to be 1 foot deep. She goes to the home improvement store and sees the following signs for rock. What is the unit rate of brand B?

Answers

12 i think but maybe not

Write an equivalent addition expression to : -10 – (-4)

Answers

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

Geometry
What is the range of possible values for x? The diagram is not to scale.

Answers

Where is the diagram? How do we answer without it?

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?

Answers

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042

The standard deviation =  [tex]\sqrt {n \time p (1-p)}[/tex]

The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]

[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]

From z tables

P(Y > 20) [tex]\simeq[/tex] 0.0903

4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?

Answers

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

No, the pair of ratios are not equal

Explanation:

To see if the ratios are equal, we have to simplify the both of them. For the first one, it’s 12/4. That is equivalent to 3/1. This means she gets $3 for every hour. Now to the next one. The ratio is 28/7 and simplify that into 4/1. That means he gets $4 each hour. So they are different meaning the pair of ratios are not equal. Good luck on your test! Have a good day.

How much would 7 bottles of water cost

Answers

What is the price of the water bottles

Answer:

$5.25

Step-by-step explanation:


0.5x = 3
What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:

0.5x=3

x=3/0.5 = 6

Answer:

x=6

Step-by-step explanation:

0.5x÷0.5=3÷0.5

x=3÷0.5

x=6

Factor by Grouping
2y2 + 7yz + 5z2

Answers

Here you go! Hope this helps

In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.

Please answer ASAP!

Answers

Answer: y = 3x

Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)

Answers

Answer: x= -56/9

Step-by-step explanation:

34+12x=3x-22

Subtract 12x from both sides

34=-9x-22

Add 22 to both sides

56=-9x

Divide -9 by both sides to get x alone

56/-9=x

So

x=-56/9

Anyone know this or could help me out?

Answers

1. Set both pairs of opposite angles equal to each other.
- Explanation: opposite sides of a quadrilateral parallelogram are congruent

2. Solve for X and Y
- 8x-8 = 6x+4
x=6
- 7y+2 = 6y + 16
y=14

Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book

Answers

Answer:

238

Step-by-step explanation:

juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238

Solve the formula C = ud for d

Answers

Answer:

C/u = d

Step-by-step explanation:

Divide u in both sides

Answer:

if you meant rearrange then:

c=ud

divide both sides by u to get d on its own:

c/u=d

orrrr d=c/u

Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.

Answers

Do yk the answer ? Now ?

Answer:

(-4, -5)

Step-by-step explanation:

Point Z has coordinates: (-3, 1)

Translate 7 units to the right and 4 units up: (x + 7, y + 4)

Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)

Then, rotate 180° about the origin: (x, y) → (-x, -y)

Z'(4, 5) → Z''(-4, -5)

What is 8 divide 1/5?
What is 8 divide by 1/5

Answers

They are both 40 lol, it’s the same

Answer:

40

Step-by-step explanation:

Somebody help me answer the question please

Answers

Answer:

yes i have finished it done

Step-by-step explanation:

Find the slope of the line that passes
through these two points.

Answers

Answer:

1/5

Step-by-step explanation:

[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]

Answer: 1/5

Step-by-step explanation: Following our hint,

let's start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have m = 2 - 1 / 3 - (-2) or 1 / 5.

So our slope is 1/5.

Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =

Answers

Answer:

X= -1/2   X= 7

Answer:

lesser x= -5   Greater X= 5

Step-by-step explanation:

−x  

2

−8

−x  

2

 

x  

2

 

​  

 

=−33

=−25

=25

​  

 

Hint #22 / 3

Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:

\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}  

x  

2

 

​  

 

x

​  

 

=  

25

​  

 

=±5

​  

 

Hint #33 / 3

In conclusion,

\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}  

lesser x

greater x

​  

 

=−5

=5

fill in the blanks thanks

Answers

Answer:

Um threre is no blanks or there is no question.

Step-by-step explanation:

After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest ​

Answers

Answer:

26123 is the answer have a good day

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