You are using a hose to fill up your backyard swimming pool on a hot day. Water flows out of the hose at a rate of 6 gallons per minute. In the equation below, m is the number of minutes the hose has been running, and g is the number of gallons of water in the pool.


The relationship between these two variables can be expressed by the following equation: g = 6m


Identify the dependent and independent variables.

Answer:

4 miles

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Use Pythagorean therum for this problem

3² + 2² = c²

9 + 4 = 13

√13 = 3.6

Data Set : {8, 2, 5, 0, 1, 9, 2, 5, 2}

Arrange in ascending order : {0, 1, 2, 2, 2, 5, 5, 8, 9}

Range = Last Term - First Term = 9 - 0 = 9 is the range

Mean = sum of terms/number of terms = 34/9 = 3.777... = 3.78 is mean

Mode = the most appearing integer in the set = 2 is the mode

Median = The integer at the middle of the set = 2 is the median

======================

Answer:

[tex]155 in^{2}[/tex]

Step-by-step explanation:

Hope this work helps

Answer:

Step-by-step explanation: <

Answer:

  (b)  1/3

Step-by-step explanation:

A function "zero" is a value of x that makes the value of the function be zero. It may also be called a "root" of the function. On a graph, it is an x-intercept.

The zeros are the solutions to the equation f(x) = 0. For a quadratic like the one given, there are two of them. For this function, they are distinct, so one will be larger than the other.

There are a number of ways the solutions to this equation can be found. Technology, in the form of a graphing calculator, can show you the x-intercepts easily (see attached). They are x=-2/5 and x=1/3.

We can also factor the equation. Doing this requires that we find factors of the product (15)(-2) = -30 that have a sum equal to the coefficient of x, +1. Here are some factor pairs:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The corresponding sums are 29, 13, 7, 1. Hence the last factor pair, {-5, 6}, is the one we need.

Rewriting the 3-term polynomial to a 4-term polynomial by splitting the middle term using these factors, we have ...

  15x² -5x +6x -2 = 0

Factoring pairs of terms gives ...

  5x(3x -1) +2(3x -1) = 0

  (5x +2)(3x -1) = 0 . . . . . . . factor out the common factor

The product of these factors can only be zero of one of them is zero. (This is the "zero product rule.") Setting the factors to zero, we find the values of x that make f(x) = 0: the zeros of the function.

  5x +2 = 0   ⇒   x = -2/5

  3x -1 = 0   ⇒   x = 1/3

The zeros of the function are -2/5 and 1/3.

The larger zero is 1/3.

Answer:

V= AOB × H

Step-by-step explanation:

The volume (V) of a prism is the area of the base (B) times the height (H).

Answer:

5446 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

==========================================

Solve for Surface Area = 24 × 35 + 47 × (98) = 5446 cm²

Answer:

336 cm to the power of 2

Step-by-step explanation:

AB=√6 to the power of 2 plus 8 to the power of 2=√100=10cm

surface area:

12xb plus 6x8x 1/2x2 plus 128 plus 12x10

=72 plus 48 plus 9b plus 120

=336 cm to the power of 2

Hope this helps!!

Answer:

A and C

Step-by-step explanation:

Mean and Median

p.s. I think

Calories increase by 25 each.
25, 50, ?, ? = 25, 50, 75, 100

Servings increase by 1/3 each. (1 = 3/3)

1/3, 2/3, 1, 4/3

Answer:

d≈24.49

Length 20

Width 10

Height 10

formula:

[tex]d= \sqrt{l^2+w^2+h^2} = \sqrt{20^2+10^2+10^2} = 24.4949[/tex]

Have a good day!

Answer:

[tex]23=0.50r+22[/tex]

Step-by-step explanation:

y=total amount of money

b=cost of admission

m=cost per ride

r= amount of rides

How to solve:

Step 1: Set up the equation in [tex]y=mx+b[/tex] format.

[tex]23=22+0.50r[/tex]

Step 2: Subtract 22 from both sides of the equation.

[tex]23-22=22+0.50r-22[/tex]

Step 3: Divide both sides by 0.50

[tex]\frac{1}{0.50} =\frac{0.50r}{0.50}[/tex]

Step 4: You are left with your answer.

[tex]r=2[/tex]

Answer:

d

                          Im pretty sure its d

Answer:

B.

Step-by-step explanation:

To dilate is to make something bigger. It says in the question that you dilate by a factor of 2, so multiply the length of the side by 2. This will get you 68.

As far as angles are concerned, angles do not change when the object is scaled bigger. So for the angle of A, the answer is still 28 degrees.

This leaves us with our final answer, which is B.

Answer:

divide by 3 ok bye

Answer:

Step-by-step explanation:

The plot of this answer is 24

The total number of hours the band member practiced last week is 35

Answer:

9.5cm

Step-by-step explanation:

divide 190 by 20 then put cm after the answer

Answer:

9.5cm

Step-by-step explanation:

190 divided by 20=9.5

Answer:

correct answer is : 19 inches

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

if Emma makes 12 cupcakes and her friends eat them all, she now has 0 cupcakes.

Answer:

1. Time (hours): 1     Distance (miles): 45

2. 1;45

  2;90

  3;135

  4;180

  5;225

  6;270

3. (c= constant of proportionality)

c= [tex]\frac{distance}{time}[/tex]

c=[tex]\frac{90 miles}{2 hours}[/tex]

c= 45 miles per hour

Step-by-step explanation:

So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)

Answer:

n = 32

Step-by-step explanation:

Given:

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

Solve:

[tex]\mathrm{Cross\; Multiply:}[/tex]

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

[tex]\mathrm{48\times8=384}[/tex]

[tex]\mathrm{384\div12=32}[/tex]

[tex]\mathrm{Hence,n=32}[/tex]

~[tex]\mathrm{[Kavinsky]}[/tex]

Answer:

D. 8,9

Step-by-step explanation:

Square root of 74 is around 8.6 So we want to find numbers that are less than 8.6 and more than 8.6

Option D is best becasue 8 < 8.6 < 9.

Answer:

Step-by-step explanation:

a boom de la caca

Answer:

x=12

Step-by-step explanation:

[tex]4x=48\\\\\displaystyle \frac{4x}{4}=\frac{48}{4}\\ \\ x=12[/tex]

[tex]4x=48\\4(12)=48\\48=48[/tex]

Answer:

87.92 in^3

Step-by-step explanation:

Formula for finding the volume of a cylinder:

V=Bh

B= area of the base

h= height

Diameter=4 radius=2 The radius is half of the diameter

The base of a cylinder is a circle, so you would find the area of the circle and multiply it by the height of the cylinder.

V= (3.14*2^2)7

V= (3.14*4)7

V= 12.56(7)

V= 87.92 in^3

Answer:

The answer to this question should be b. 87.92 in^3 because the formula to find the volume of a cylinder is V=TTr^2h. and remember that the radius is half of the diameter so back to the question.

We multiplied 3.14 times 4 because remember that the radius is half of the diameter and we get 2 but remember the exponent so we need to multiplied to the second power 2 times 2 and we get 4 so when we multiplied 3.14 times 4 we get 12.56 and when we multiplied 12.56 times the height which is 7 we get 87.92 so check the choices and see if there is an answer and yes there is so b which is 87.92in^3 is hopefully the correct answer.

Step-by-step explanation:

Answer:

I think it's A). 2,048

Step-by-step explanation:

I did the problem.

4 * 2 = 8 2nd year

8 * 2 = 16 3rd year

16 * 2 = 32 4th year

32 * 2 = 64 5th year

64 * 2 = 128 6th year

128 * 2 = 256 7th year

256 * 2 = 516 8th year

516 * 2 = 1024 9th year

1024 * 2 = 2048 10th year

If 2048 isn't correct, than the answer is B?. 1,024