what is the rate of change for these data?

What Is The Rate Of Change For These Data?

Answers

Answer 1

Answer:

-2 gallons per minute

Step-by-step explanation:

As we can clearly see, the water is continuously decreasing every 15 minutes by 30 gallons.

So, the rate of change is -30 gallons per 15 minutes

However, we can simplify this ratio by dividing both sides by 15, so we get

-2 gallons per minute


Related Questions

If Ahmad’s balance is $85, what will the minimum payment be?

Answers

his balance will be 20 dollars

7. Write the new function, h(x), given the mapping statement: f(X)->-4f(X)
f(X) =(x+3)^2+3

Answers

Answer:

hshdhdhdshejiwiwiwiwiwi

An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 95% level of confidence. For a sample of 582 third graders, the mean words per minute read was 24.1. Assume a population standard deviation of 3.7. Construct the confidence interval for the mean number of words a third grader can read per minute.

Answers

Answer:

The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.7}{\sqrt{582}} = 0.3[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 0.3 = 23.8

The upper end of the interval is the sample mean added to M. So it is 24.1 + 0.3 = 24.4.

The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).

muscle max gym charges a $30 fee to join plus $2 each day that you go workout. Capital cross-fit charges $10 to join and $4 each day you use the gym. After how many days of workouts would the two gyms have cost you the same amount of money?

Answers

Set up equations for each gym.

multiply daily cost by number of days(x) and add the fee:

Muscle max: 2x + 30

Capital: 4x + 10

Now set them

Equal to each other and solve for x:

2x + 30 = 4x + 10

Subtract 2x from both sides :

30 = 2x + 10

Subtract 10 from both sides :

20 = 2x

Divide both sides by 2:

X = 10

It will take 10 days

Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2

Answers

Answer:

B. 240 cm2

Step-by-step explanation:

Chu vi đáy: 10x=40

Diện tích xung quanh:  Sxq=1/2 x40x12=240

Complete the Similarity statement below only if the triangles are similar.

Answers

The answer is A because I took this test before and I got it right

Evaluate. (1/5) exponent -1 x 4 exponent 0​

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

A calculator can be useful when you want to evaluate a numerical expression.

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  a^0 = 1 . . . . . . a≠0

__

Your expression evaluates to ...

  (1/5)^-1 × 4^0 = (5/1)^1 × 1 = 5

a certain number plus two is five find the number​

Answers

x=3

Step-by-step explanation:

x+2=5

x=5-2

x=3

A student found the solution below for the given inequality.Which of the following explains whether the student is correct?The student is completely correct because the student correctly wrote and solved the compound inequality.The student is partially correct because only one part of the compound inequality is written correctly.The student is partially correct because the student should have written the statements using “or” instead of “and.”The student is completely incorrect because there is “ no solution “ to this inequality.

Answers

Answer:

The student is completely incorrect because there is no solution to this inequality.

Answer:

D on edge

Step-by-step explanation:

an expression equivalent to 12+ 21 is

Answers

Answer:

33

Step-by-step explanation:

The answer is 1628. Because 16 x 21 = 28 x 12 = 336

Hope this helps

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area. In a survey of 100 viewers, 26% indicated that they watch the late evening news on this local Fox station. What is the null hypothesis

Answers

Answer:

The null hypothesis is [tex]H_0: p = 0.31[/tex]

Step-by-step explanation:

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area.

From the claim, we get the expected proportion, that is, the value tested at the null hypothesis. Thus, at the null hypothesis, we test if the proportion is of 31%, that is:

[tex]H_0: p = 0.31[/tex]

Which of the following has the least value?

30% of 50
O 50% of 30
30% of 30
50% of 50

Answers

Answer:

30% of 30 has the least value out of all answer choices.

Step-by-step explanation:

Solve for the values of the given percentages of each number:

30% of 50:

Divide 50 by 100 to get 1%

50/100 = 0.5

Multiply 1% (0.5) by 50:

0.5 x 50 = 15

So 30% of 50 = 15

50 % of 30:

50% of a number means half of it since 50% is half of 100% so:

30/2 = 15

So 50% of 30 = 15

30% of 30:

Divide 30 by 100 to get 1%:

30/100 = 0.3

Multiply 1% (0.3) by 30:

0.3 x 30 = 9

So 30% of 30 = 9

50% of 50

50% of a number means half of it since 50% is half of 100% so:

50/2 = 25

So 50% of 50 = 25

Let’s arrange all of the values from greatest to least (left to right) to determine the most least value:

25, 15, 15, 9

9 is the most least, it is the value equal to the answer choice “30% of 30”

HOPE THIS HELPED!

A number increased by a% and decreased by 80% is 400. What is the number?

Answers

Answer:

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

updated response , given that you confirmed the question....

if the percent is the variable a% then ....

[tex]x*(\frac{a+100}{100}) = 2000[/tex]

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

I think that there is missing information here ....

you can make any number work here the result of the number being increased by the percent has to be 2000...

so if if the number is 1000 then the percent would be 100%

if you make the number  1500 then the percent would be 33 1/3 %

Step-by-step explanation:

The number is [tex]\frac{2000}{(1+\frac{a}{100})}[/tex]

What will be the new number when the original number is increased by a% and decreased by 80%?

Let us assume that the number be x.

When the number x is increased by  a% the new number will be,

[tex]x(1+\frac{a}{100})[/tex]

Now, this number is decreased by 80%. So, the new number will be,

[tex]x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20[/tex]

By the given condition,

When x increased by a% and decreased by 80% it becomes 400

Therefore, we can write

[tex]x(1+\frac{a}{100})*0.20=400[/tex]

[tex]x(1+\frac{a}{100})=\frac{400}{0.20}[/tex]

[tex]x(1+\frac{a}{100})=2000[/tex]

[tex]x=\frac{2000}{(1+\frac{a}{100})}[/tex]

So, the number will be [tex]\frac{2000}{(1+\frac{a}{100})}[/tex].

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A local school board member randomly sampled private and public high school teachers in his district to compare the proportions of National Board Certified (NBC) teachers in the faculty. The results were:

Answers

Answer:

0.025 ;

(-0.7198 ; 0.7698)

Step-by-step explanation:

From the table :

_____________ private schls ___ public schls

Sample size, n _____ 80 __________ 520

P, NBC teachers ___ 0.175 ________ 0.150

P1 = P of  private school teachers

P2 = P of public school teachers

Difference in proportion :

P1 - P12 = 0.175 - 0.150.= 0.025

The 90% confidence interval for 2 - sample proportion :

C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]

Zcritical at 90% = 1.645

C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]

C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]

C.I = 0.025 ± 1.645 * 0.0452755

C.I = 0.025 ± 0.07448

C.I = (-0.7198 ; 0.7698)

(A+B)^2
Giúp mình với ạ

Answers

Answer:

= a^2 + 2.a.b + b^2

f(x)=(2x+4)/(x^(2)+5x+6)

Answers

Step-by-step explanation:

Download gauthmath it will help

A box of tickets has an average of 420; the SD is 84. If we draw at random (with replacement) 50 times and compute the average of the draws, the expected value of the average of the draws equals 420 and the standard error of the average of the draws equals ____. (Enter correct to two decimal places.)

Answers

Answer:

Average of the draws equals 420

Standard Error = 11.88

Step-by-step explanation:

Given

[tex]\mu = 420[/tex]

[tex]\sigma = 84[/tex]

[tex]n =50[/tex]

Solving (a): The average of the draws

This implies that we calculate the sample mean

This is calculated as:

[tex]\bar x = \mu[/tex]  --- Sample Mean = Population Mean

So, we have:

[tex]\bar x = 420[/tex]

Solving (b): The standard error

This is calculated as:

[tex]SE=\frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]SE=\frac{84}{\sqrt {50}}[/tex]

Using the calculator, we have:

[tex]SE=11.88[/tex]

Meena's family took a road trip to Niagara Falls. Meena slept through
the last 49% of the trip. If the total length of the trip was 500 miles, how many miles had they travelled when Meena fell asleep?

Answers

245 miles

49/100*500 i guess it's the answer

Answer: 255 miles

Explanation:

Total length of the trip = 500 miles

Then 49% = 49/100×500

= 245 miles

Therefore she slept for 245 miles

How many miles had they travelled when meena fell asleep

= 51%

= 51/100×500

= 255 miles

Or

500 - 245

= 255 miles

Answered by Gauthmath must click thanks and mark brainliest

A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods. Which describes the correct method? Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent. Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent. Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent. Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

its B

Option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The expressions are [tex]4x-x+5 , 8-3x-3[/tex]

If the expressions are equivalent then,

⇒ [tex]4x-x+5 = 8-3x-3[/tex]

⇒ [tex]3x+5=-3x+5[/tex]

In both the sides the x has different values.

So, Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Hence we can conclude that option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.

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Which of the following equations shows the linear relationship between the x and y variables shown in the table of ordered pairs? A. y = x + 5 B. y = 2x C. y = x + 6 D. y = x - 5

Answers

Answer:

The linear relationship will be B

Answer:

b

Step-by-step explanation:

Pauline mixed 0.32 liter of syrup with 12 times as much water to make orange squash.She split 1.28 liter of orange squash.Then she poured the remaining orange squash equally into 4 bottles.How much orange squash were there in each bottle.Give your answer in Liters.​

Answers

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

Litres of orange squash = (0.32 + 3.84) = 4.16 litres

Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

why is (3, -5) not a solution to -x+4=-15 and -2x-3y=-8

Answers

Step-by-step explanation:

-x+4y= -15

-2x-3y=-8

the intersection point isn't (3,-5)

it's approximately (-1.1818 ,3.45455 )

Answer:

see below

Step-by-step explanation:

Check the solution in both equation

-x+4 = -15

-3 +4 = -15

1 does not equal -15 so it is not a solution

-2x-3y = -8

-2(3)+-3(-5) = -8

-6 +15 = -8

9 = -8

It is not a solution to either equation

Which percent is eguivalent to 2.5?

1)2.5%
2)25%
3)250%
4)2,500%

Answers

Answer: 250%

since, 100% = 100/100

250% = 250/100

Step-by-step explanation:

I believe the answer is 250%, percent is usually out of 100 so 2.5•100=250%

HELP NEEDED PLEASE!!!!

Answers

Answer:

A

Step-by-step explanation:

The period is stretched by 30 and divided by pi, meaning that the wheel rotates does a full rotation every 60 seconds. But the most important part is vertical stretch of 47 and shift up of 52. At the peak it would be 99 since the peak is 47 with the stretch but add 52 from the shift and it would be 99.

An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.

Answers

Answer:

$343

step by step explanation: interest=PRT/100

:I=700×7×7/100

:I=$343.

Given:

Principal, P = $700

Rate of interest, R = 7% = 0.07

Time period, T = 7 months (it is considered as a monthly investment)

∴ Simple Interest, SI = PRT

SI = 700 × 0.07 × 7

SI = $343

What is straightforward interest and model?

Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.

Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.

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7 times a certain number less four times that same number minus 2 is -58 what is the number​

Answers

The number is 20

Step-by-step explanation:

7 times a certain number :

Let the unknown number be x

[tex]7 \times x[/tex]

is less four times that same number -2 is 58 :

7x - 4x -2 = 58

Collect like terms

7x-4x = 58+2

3x = 60

3x/3 = 60/3

x = 20

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 7x-4x-2=58[/tex]

[tex]\\ \sf\longmapsto 3x-2=58[/tex]

[tex]\\ \sf\longmapsto 3x=58+2[/tex]

[tex]\\ \sf\longmapsto 3x=60[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{3}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

12 workers take 4 hours to complete a job. How long would it take 15 workers to complete the job?

Answers

Answer:

3.2 hours

Step-by-step explanation:

12 workers * 4 hours = 48 worker hours

15 workers  * x hours = 48 worker hours

48 /15 =3.2 hours

Answer:

3 hours and 12 minutes.

Step-by-step explanation:

12 Workers complete a job in 4 hours

1 worker complete a job 12 × 4 = 48

15 workers complete a job = 48/15 = 3³/¹⁵ = 3¹/⁵

= 3 hours + 1/5 × 60  minutes = 3 hours 12 minutes.

A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) (-x, -y)
O(x,y) (-y, x)
(x, y) (-), -x)
(x,y) →ly, -x)

Answers

Answer:

(x,y) -> (-y,x), second option.

Step-by-step explanation:

Rotation of 90 degrees about the origin:

The rule for a rotation of a point (x,y) 90 degrees about the origin is given by:

(x,y) -> (-y,x)

This is that the question asks, and so, this is the answer, which is the second option.

Find the degree 9m^(2)+11m^(2)+2m^(2)
Ill give brainliest!

Answers

Answer:

The degree of this polynomial is 2.

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

The given polynomial is:

[tex]9m^2+11m^2+2m^2[/tex]

The only variable is m.

The power of m in all terms is 2.

So, the degree of this polynomial is 2.

5√48-4√27-2√108+√147

Answers

Answer:

[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

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