The time t(in minutes) required to empty a tank of wastewater varies
inversely with the rate r (in gallons per minute) of pumping. The constant of
variation is 56. Find the time it will take to empty the tank when the rate is 4
gal/min
O A. 14 minutes
O B. 52 minutes
O .
C. 224 minutes
O D. 0.07 minutes​

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

answer A. 14 minutes is your answer


Related Questions

If z is a standard normal random variable and A is a positive number, then P(z<−A)=P(z>A)

True or False?

Answers

Answer:

True

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

As the normal distribution is symmetric, we have that [tex]P(z < -A) = P(z > A)[/tex]

For example:

[tex]z = -2[/tex] has a pvalue of 0.0228, which means that [tex]P(z < -2) = 0.0228[/tex]

[tex]z = 2[/tex] has a pvalue of 0.9772, which means that [tex]P(z > 2) = 1 - 0.9772 = 0.0228[/tex]

True or False?

As shown above, this statement is True, due to the symmetry of the normal distribution.

Use the distributive property to find the equivalent expression.
10(8 + 3h) =

Answers

Answer:

80+30h

Step-by-step explanation:

Write the equation of the line (please answer will mark brainlist)

Answers

Y = -5/3x + 5
To find slope, rise/run
But since the graph is going down, the slope must be negative

gavin painted 14 pictures last week. he painted some more pictures this week. he painted 25 pictures in all. how many pictures did gavin paint this week

Answers

Answer:

11

Step-by-step explanation:

Based on the given conditions, formulate: 25 - 14

Calculate the sum or difference: 11

get the result: 11

what are the two x-intercepts for f(x) (x-1) (x+3)

Answers

Answer:

Step-by-step explanation:

URGENT CLICK TO SEE LINKS WILL GET REPORTED

Answers

Answer:

what?

Step-by-step explanation:

Help please — How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?

Answers

Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.

What is Continuous compounding?

Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.

[tex]A=Pe^{rt}[/tex]

where:

A is the asset's final value

P is its initial value

r is the interest rate (or rate of depreciation in the case of a depreciating asset)

t is the time periods (months, years, etc.)

A= 1200

P= 2550

r= -0.05

We want to find t, so we can rearrange the formula to solve for t:

[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]

In 15.07 month motorbike value will depreciate to less than £1200

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Which of the following statements is TRUE if angle 4 has a measure of 127°?

If you can’t see the answer choices I apologize, but you can zoom in the photo.

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

A

Step-by-step explanation:

the sum of angle 1 and angle 4 is 180

the answer is A because 53 + 127 = 180

5. Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.

Answers

Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

what is circle ?

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle.

given

10 groups of 3 students = 30 students :

5 groups of 2 students + 5 groups of 4 students = 30 students : 7 groups of 3 students + 3 groups of 3 students = 30 students

so Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

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Plz help!!! Rename 3/10 and 2/3 using the least common denominator.

Answers

Answer:

9/30 and 20/30

Step-by-step explanation:

You must find the least common denominator. To do this, list the multiples of each denominator, and find the lowest number that is the same between them.

10 = 10, 20, 30, 40, 50....

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33....

the lowest multiple that is the same between them is 30.

f(x)=-2x+3 find f(3)

Answers

answer: -3 lmk if you want an explanation!

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now, in about how many years will it take to reach $20 per month? Use the equation 20 = 8(1.2)x to solve the problem. Round to the nearest year.

Answers


6 years

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:

Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8

Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:

To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x

x = 6 years to the nearest year

Find the measure of k

Answers

Answer:

k = 56 degrees

Step-by-step explanation:

The big triangle is isosceles so the base angles are congruent.  The total angle measure is 180, so the base angles are half of 180 - 56 = 124.  The base angle at the lower right measures 62 degrees.

The inner triangle is also isosceles.  Both its base angles must measure 62 degrees (total = 124, again!).  The remaining angle,  k , measures 180 - 124 = 56.

PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.

PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.

I PUT IT TWICE BECAUSE U PEOPLE DONT GET IT!!!!!
NO LINKS OR NON ANSWERS!!!!
DONT MAKE ME GO CRAZY!!!!

Answers

Answer:

2209

Step-by-step explanation:

The interquartile range is the 3rd quartile minus the 1st quartile. To find the quartiles, you need to find the median.

First, put the values in order.

17012, 18140, 17362, 16697, 14387 becomes

14387, 16697, 17012, 17362, 18140

The median is the value in the middle, so 17012. The first quartile is the median of the numbers to the left of the median. The numbers to the left are 14387 and 16697. Because there are an even amount of numbers, there's no middle. So the median of those values is the average (aka the sum divided by the number of values).

14387 + 16697 = 31084. Then divide that by 2 (the number of values) and you get 15542. So 15542 is the first quartile.

The 3rd quartile is the median of the values to the right. It is 17751 because 17362 and 18140 are the numbers to the right of the median. 17362 + 18140 = 35502 and 35502/2 = 17751.

The interquartile range is the 3rd quartile minus the 1st quartile

17751 - 15542 = 2209

PLEASE HELP ASAP I WILL MARK YOU BRAINLIEST!!!
Find the volume of the following
square pyramid.
26 om
20 cm
20 cm
V = [?] cm3

Answers

Answer:

Step-by-step explanation:

10400

Answer:

3200 cm^3

Step-by-step explanation:

1. Calculate the sides of the right triangle to get the height

We know that side c = 26 and the shortest leg is 10 cm (20cm/2) because this right triangle splits the 20cm in two)

[tex]10^{2} + b^{2} = 26^{2} \\100 + b^{2} = 676\\b^{2} = 576 \\b = \sqrt{576} \\b = 24[/tex]

a = 10, b = 24, c = 26

2. Use the formula for the volume of a square pyramid now that you have the height (which is b)

[tex]V = a^{2} \frac{h}{3} \\\\V = 20^{2} * \frac{24}{3} \\V = (400)(8)\\V = 3200 cm^{3}[/tex]

V = 3200

I hope this helped! :)

Take a look at the picture. Please write an explanation to go with your answer.

Thank you :)

Answers

Answer:

1/ 4

Step-by-step explanation:

The least amount of sap is represented on the horizontal Axis. The least amount means the treetgatvproduced the smallest amount of sap. Which will be the value to the left of the line dot plot as the values are ordered. Hence, we can say that three trees produced the smallest amount of sap which is 1/4

7 3
What is another way to write the equation +--62
O
7+3
8+4
7 3
08
x=-6
7
X=-6
3

Answers

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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Which of the following BEST describes a TREE?

a) A complete graph, with exactly 4 vertices.

b) A connected graph, each vertex has a degree of 2 or greater.

c) A connected graph with at least 3 cycles.

d) A connected graph with no cycles.

Answers

Answer:

Step-by-step explanation:

We first start understanding what is a tree:

A tree can be understood as a graph such that two nodes ( or   vertices )  are connected by at most one path.

So the best definition that fit the above one is d. Note that

In a complete graph we have multiple paths to connected two nodes.  So that a is false. Similarly, b is false. If we have cycles in a graph, that implies more than two paths to connected two nodes. So c is false.

A connected graph with no cycles is used to describe a TREE so option (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

A TREE diagram is a graph where any two nodes or more are connected at one node by another segment while another remains open.

Since the TREE diagram is become by the disconnected node at one end it means it is not going to form any cycle.

Hence "A connected graph with no cycles is used to describe a TREE".

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Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.

Answers

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33


The metered rate of fare for a New York City taxi is $2.90 upon entry and $0.25 per 1/8 of a mile when the taxi is traveling 5 miles
or more. Using these as figures, calculate the cost of a taxi ride from the Time Square to JFK Airport, a distance of 18 miles.

Answers

Answer:

$38.90

Step-by-step explanation:

$2.00 per mile x 18 miles is 36.00 then add the 2.90

someone please help me !

Answers

Answer:

You to it right, 18

Step-by-step explanation:

Answer:

27 ft I think

Step-by-step explanation:

The answer is 27

What is the constant rate of change for the relationship shown in the table?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

How do I write an equation for this relationship (where y represents the number of blocks and x represents the stage number).

Answers

The equation of the line is y = 4x + 1 , where the slope of the line is m = 4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of blocks be y

Let the stage number be x

Let the first point be represented as P = P ( 1 , 5 )

Let the second point be represented as Q = Q ( 2 , 9 )

Now , the slope of the line between the points be

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 9 - 5 ) / ( 2 - 1 )

Slope m = 4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 4 ( x - 1 )

On simplifying the equation , we get

y - 5 = 4x - 4

Adding 5 on both sides of the equation , we get

y = 4x + 1

Therefore , the value of A is y = 4x + 1

Hence , the equation of line is y = 4x + 1

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6 Time différence n and 15

Answers

im just answering to get more points

find the area of ABC

Answers

Area = 1/2*b*h

[tex]1 \times 2 \times b \times h[/tex]

An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?

Answers

The volume of each drinking cup is 7.9 cubic inches.

What is the volume?

An office uses paper drinking cups in the shape of a cone, with dimensions as shown.

The formula provides the volume of a cone.

V =  (1/3) * π * r² * h.

We can find the solution by entering the already-known data into the formula.

d = 2.75 m.

Since radius is half of d, we can say

0.5 * 2.75 = 1.375 in.

4 inches is listed as the height.

The result of plugging all of them into the original formula is:

V = (1/3) * π(1.375)² (4) = 7.9

Our final response, rounded to the closest tenth, is:

V = 7.9 cubic inches.

The volume of each drinking cup is 7.9 cubic inches.

The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?

d = 2.75 m.

h = 4

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Identify the basic shapes in the figure:)

Answers

Triangle and rectangle

Compare 8.002 to 8.20. Which is greater?

Answers

Answer:

8.20

Step-by-step explanation:

8.20 is greater than 8.002 due to 0.20 being greater than 0.002

- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.

Answers

It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.

What size does a flag have?

Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.

Why are all flags square?

A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.

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PLEASE HELP
y = 2x + 1/3

Answers

Answer:

incorrect

Step-by-step explanation:

y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)

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