Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out of the tank. Her goal is given by
15x-13 < 77, where x is the number of minutes she pumps water into the tank.
First, solve the given inequality and graph the solution on the number line below.
Then, choose and complete the statement that best describes the solution

Answer: (-1,2) and (2,2) Make sure to see explanation!

Step-by-step explanation:

Well you need to remember the Y reflection rule!

To reflect over the Y axis you must do this:

Take the points in this case

(1,2) and (-2,2)

And you need to use the equation (x,y) --> (-x,y)

So the new points you NEED TO GRAPH ARE

(-1,2) and (2,2)

Hope this helped!

Answer: (-1,2) and (2,2)

Step-by-step explanation:

reflection over the y axis, take the point (x,y) and change the sign of the X-value (-x,y). When You reflect over the y-axis, the y remains the same.

point (1,2) would become (-1,2) reflected over the Y

and (-2,2) would become (2,2)

Answer:

t-6=7

Step-by-step explanation:

Answer:

6-t=7

Step-by-step explanation:

Answer:

8100700

Step-by-step explanation:

I used a calculator

Could you pls mark me brainliest I only need one more

Answer:

8100700

hop i helped look at my drawing

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5,  and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

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Answer:

the area of the polygon is 240cm^2

Answer:

{x | x < 10/7}

Step-by-step explanation:

Answer:

a) 190

b)-189

Step-by-step explanation:

4a)

-2y+7(4+8y)=

-2y+(7·4)+(7·8y)=

-2y+28+(7·8y)=

-2y+28+(7·24)

-2y+28+168=

-6+28+168=

22+168 solve

4b)

-5w-4(6t+5)

-5w-4(36+5)

-5w-(4·41)

-5w-164

-25-164 solve

Answer:

O that easy just flip the sign for example - becomes + becomes-

this is an is simple trick I learn hope it helps you.

Step-by-step explanation:

so k goes to -3 j goes to -2

Answer:

1. 0.8 2. 1.25 3. 27.5

Step-by-step explanation:

Number 1 is 4/5

Number 2 is just 5/4

And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.

Answer:your

Step-by-step explanation:

mom

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Answer:

s=$35n

Step-by-step explanation:

have fun w/ this (also can I get brainiest?)

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

for example, say you have

2/4 and 8/12

First you need to find the common factor between 4 and 12, so list all your fours

4, 8, 12, 16, 20

Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

Answer:

A and B

Step-by-step explanation:

Answer:

what?????????????????????????

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

y = -7x + 9

Step-by-step explanation:

Answer:

1) decay

2) growth

3) growth

Step-by-step explanation:

A generic exponential function can be written as:

f(x) = A*(r)^x

Where:

A is the initial amount of something.

r is the rate of growth.

x is the variable, usually, represents time.

if r > 1, we have an exponential growth.

if r < 1, we have an exponential decay.

1) f(x) = (3/4)^x

in this case we have:

A = 1

r = (3/4) = 0.75

Clearly, r < 1.

Then this is an exponential decay.

2) f(x) = (1/6)*4^x

In this case we have:

A = (1/6)

r = 4

Here we have r > 1.

Then this is an exponential growth.

3) f(x) = (1/4)*(5/2)^x

in this case we have:

A = 1/4

r = 5/2 = 2.5

here we have r > 1, then this is an exponential growth.

Answer:

Compound interest earns interest on the principal plus any previous interest earned.

Step-by-step explanation:

compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest

The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

Option 3 is true.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

To defined best describes the difference between simple and compound interest.

Now, We know that;

Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.

Hence, The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

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Answer:

Step-by-step explanation:

F=ma

F=66.5kg(22.3m/s)

F=1482.95N

Answer:

x = 5

Step-by-step explanation:

x2 + y2 = 20

xy = 20 ÷ 2 ÷2

= 10 ÷ 2

x = 5

i dont know whether this is right

but hope it helps n it works

Answer:

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]

So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].

The Matching is:

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We know the slope- intercept form

y= mx+ b

where m is the slope.

For y= 5x+ 2 the slope is 5.

and, for y= 3x+ 3 the slope is 3.

and, for y= 2x+ 3 the slope is 2.

For Graph 1, the slope is 5/1= 5

and, For Graph 2, the slope is 6/2= 3

and, For Graph 3, the slope is 6/3 = 2

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Answer:

x = 6 and -6

Step-by-step explanation:

Answer:

the answer is: 6 and -6. hope this helps!!

Step-by-step explanation:

Answer:

I don't know the answer to this but

Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.

Step-by-step explanation:

Answer:

a. False

b. False

c. True

d. True

e. True

Answer:

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Antiderivatives - Integrals

Integration Constant C

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]

Step 2: Identify Variables

Find the variables u-solve using u-substitution.

U-Substitution

[tex]\displaystyle u = 1 + \sqrt{x}[/tex]

[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]

U-Solve

[tex]\displaystyle x = (u - 1)^2[/tex]

[tex]\displaystyle dx = 2\sqrt{x}du[/tex]

Step 3: Integration

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

1/6

Step-by-step explanation:

1/2÷3

1/2×1/3

1×1/2×3

1/2×3

1/6