Twelve of the 28 students in a class have a dog. What is the ratio of students who have a dog to students who do not?

Answers

Answer 1

Answer:

28/12

Step-by-step explanation:


Related Questions

4,0000000000×10,00000000

Answers

Answer:

yes 40

Step-by-step explanation:

she got it correct

If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?

Answers

Answer:

red balls = 5

blue balls = 5

total balls = 5 blue+5 red

= 10

[tex]p(first \: ball \: being \: red) = \frac{red \: balls}{total \: balls} [/tex]

[tex]p(first \: ball \: being \: red) = \frac{5}{10} = \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

Total number of red balls = 5

Total number of blue balls = 5

Total number of balls in jar = 5 + 5

                                             = 10

Probability of the first ball being red = total number of the red ball/total number of balls in the jar

                                                             = [tex]\frac{5}{10}[/tex]

                                                             = [tex]\frac{1}{2}[/tex]

Therefore, the probability of the first ball being red = [tex]\frac{1}{2}[/tex], 50% or 0.5 (in any way you are instructed to write it in)

dy÷dx=(x-1)(x+3) at x=2 first principal ​

Answers

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?

The portion of the parabola y²=4ax above the x-axis, where is form 0 to h is revolved about the x-axis. Show that the surface area generated is
A=8/3π√a[(h+a)³/²-a³/2]
Use the result to find the value of h if the parabola y²=36x when revolved about the x-axis is to have surface area 1000.​

Answers

Answer:

See below for Part A.

Part B)

[tex]\displaystyle h=\Big(\frac{125}{\pi}+27\Big)^\frac{2}{3}-9\approx7.4614[/tex]

Step-by-step explanation:

Part A)

The parabola given by the equation:

[tex]y^2=4ax[/tex]

From 0 to h is revolved about the x-axis.

We can take the principal square root of both sides to acquire our function:

[tex]y=f(x)=\sqrt{4ax}[/tex]

Please refer to the attachment below for the sketch.

The area of a surface of revolution is given by:

[tex]\displaystyle S=2\pi\int_{a}^{b}r(x)\sqrt{1+\big[f^\prime(x)]^2} \,dx[/tex]

Where r(x) is the distance between f and the axis of revolution.

From the sketch, we can see that the distance between f and the AoR is simply our equation y. Hence:

[tex]r(x)=y(x)=\sqrt{4ax}[/tex]

Now, we will need to find f’(x). We know that:

[tex]f(x)=\sqrt{4ax}[/tex]

Then by the chain rule, f’(x) is:

[tex]\displaystyle f^\prime(x)=\frac{1}{2\sqrt{4ax}}\cdot4a=\frac{2a}{\sqrt{4ax}}[/tex]

For our limits of integration, we are going from 0 to h.

Hence, our integral becomes:

[tex]\displaystyle S=2\pi\int_{0}^{h}(\sqrt{4ax})\sqrt{1+\Big(\frac{2a}{\sqrt{4ax}}\Big)^2}\, dx[/tex]

Simplify:

[tex]\displaystyle S=2\pi\int_{0}^{h}\sqrt{4ax}\Big(\sqrt{1+\frac{4a^2}{4ax}}\Big)\,dx[/tex]

Combine roots;

[tex]\displaystyle S=2\pi\int_{0}^{h}\sqrt{4ax\Big(1+\frac{4a^2}{4ax}\Big)}\,dx[/tex]

Simplify:

[tex]\displaystyle S=2\pi\int_{0}^{h}\sqrt{4ax+4a^2}\, dx[/tex]

Integrate. We can consider using u-substitution. We will let:

[tex]u=4ax+4a^2\text{ then } du=4a\, dx[/tex]

We also need to change our limits of integration. So:

[tex]u=4a(0)+4a^2=4a^2\text{ and } \\ u=4a(h)+4a^2=4ah+4a^2[/tex]

Hence, our new integral is:

[tex]\displaystyle S=2\pi\int_{4a^2}^{4ah+4a^2}\sqrt{u}\, \Big(\frac{1}{4a}\Big)du[/tex]

Simplify and integrate:

[tex]\displaystyle S=\frac{\pi}{2a}\Big[\,\frac{2}{3}u^{\frac{3}{2}}\Big|^{4ah+4a^2}_{4a^2}\Big][/tex]

Simplify:

[tex]\displaystyle S=\frac{\pi}{3a}\Big[\, u^\frac{3}{2}\Big|^{4ah+4a^2}_{4a^2}\Big][/tex]

FTC:

[tex]\displaystyle S=\frac{\pi}{3a}\Big[(4ah+4a^2)^\frac{3}{2}-(4a^2)^\frac{3}{2}\Big][/tex]

Simplify each term. For the first term, we have:

[tex]\displaystyle (4ah+4a^2)^\frac{3}{2}[/tex]

We can factor out the 4a:

[tex]\displaystyle =(4a)^\frac{3}{2}(h+a)^\frac{3}{2}[/tex]

Simplify:

[tex]\displaystyle =8a^\frac{3}{2}(h+a)^\frac{3}{2}[/tex]

For the second term, we have:

[tex]\displaystyle (4a^2)^\frac{3}{2}[/tex]

Simplify:

[tex]\displaystyle =(2a)^3[/tex]

Hence:

[tex]\displaystyle =8a^3[/tex]

Thus, our equation becomes:

[tex]\displaystyle S=\frac{\pi}{3a}\Big[8a^\frac{3}{2}(h+a)^\frac{3}{2}-8a^3\Big][/tex]

We can factor out an 8a^(3/2). Hence:

[tex]\displaystyle S=\frac{\pi}{3a}(8a^\frac{3}{2})\Big[(h+a)^\frac{3}{2}-a^\frac{3}{2}\Big][/tex]

Simplify:

[tex]\displaystyle S=\frac{8\pi}{3}\sqrt{a}\Big[(h+a)^\frac{3}{2}-a^\frac{3}{2}\Big][/tex]

Hence, we have verified the surface area generated by the function.

Part B)

We have:

[tex]y^2=36x[/tex]

We can rewrite this as:

[tex]y^2=4(9)x[/tex]

Hence, a=9.

The surface area is 1000. So, S=1000.

Therefore, with our equation:

[tex]\displaystyle S=\frac{8\pi}{3}\sqrt{a}\Big[(h+a)^\frac{3}{2}-a^\frac{3}{2}\Big][/tex]

We can write:

[tex]\displaystyle 1000=\frac{8\pi}{3}\sqrt{9}\Big[(h+9)^\frac{3}{2}-9^\frac{3}{2}\Big][/tex]

Solve for h. Simplify:

[tex]\displaystyle 1000=8\pi\Big[(h+9)^\frac{3}{2}-27\Big][/tex]

Divide both sides by 8π:

[tex]\displaystyle \frac{125}{\pi}=(h+9)^\frac{3}{2}-27[/tex]

Isolate term:

[tex]\displaystyle \frac{125}{\pi}+27=(h+9)^\frac{3}{2}[/tex]

Raise both sides to 2/3:

[tex]\displaystyle \Big(\frac{125}{\pi}+27\Big)^\frac{2}{3}=h+9[/tex]

Hence, the value of h is:

[tex]\displaystyle h=\Big(\frac{125}{\pi}+27\Big)^\frac{2}{3}-9\approx7.4614[/tex]

You seem to have left out that 0 ≤ x ≤ h.

From y² = 4ax, we get that the top half of the parabola (the part that lies in the first quadrant above the x-axis) is given by y = √(4ax) = 2√(ax). Then the area of the surface obtained by revolving this curve between x = 0 and x = h about the x-axis is

[tex]2\pi\displaystyle\int_0^h y(x) \sqrt{1+\left(\frac{\mathrm dy(x)}{\mathrm dx}\right)^2}\,\mathrm dx[/tex]

We have

y(x) = 2√(ax)   →   y'(x) = 2 • a/(2√(ax)) = √(a/x)

so the integral is

[tex]4\sqrt a\pi\displaystyle\int_0^h \sqrt x \sqrt{1+\frac ax}\,\mathrm dx[/tex]

[tex]=\displaystyle4\sqrt a\pi\int_0^h (x+a)^{\frac12}\,\mathrm dx[/tex]

[tex]=4\sqrt a\pi\left[\dfrac23(x+a)^{\frac32}\right]_0^h[/tex]

[tex]=\dfrac{8\pi\sqrt a}3\left((h+a)^{\frac32}-a^{\frac32}\right)[/tex]

Now, if y² = 36x, then a = 9. So if the area is 1000, solve for h :

[tex]1000=8\pi\left((h+9)^{\frac32}-27\right)[/tex]

[tex]\dfrac{125}\pi=(h+9)^{\frac32}-27[/tex]

[tex]\dfrac{125+27\pi}\pi=(h+9)^{\frac32}[/tex]

[tex]\left(\dfrac{125+27\pi}\pi\right)^{\frac23}=h+9[/tex]

[tex]\boxed{h=\left(\dfrac{125+27\pi}\pi\right)^{\frac23}-9}[/tex]

Marlye asked students in her school whether they prefer scary movies or comedies. She found that 35 students prefer scary movies while 65 students prefer comedies. What percent of the students questioned prefer scary movies? 30% 35% 50% 65%

2
SEE ANSWERS

Answers

Answer:

The answer is 35%

Step-by-step explanation:

If we add together 35 and 65 we get 100.  This means altogether there are 100 kids in her school.  Out of those 100 kids, 35 like scary movies.  We can write this as the fraction 35/100.  This is equivalent to 0.35 or 35%.

Answer:

35%

Step-by-step explanation:

35+65

= 100

[tex]\frac{35}{100} * 100[/tex]

= 35%

What is the slope of
y = -5x + 14

Answers

Answer:

0

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

y=-5x+14 is in the form of y=mx+b.

m is the slope and b is the y-intercept.

So m = -5 and -5 is the slope

which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

Can someone help me find the value of X please?

Answers

Answer:

x = -4

Step-by-step explanation:

A circle is 360 degrees.

Anyway, first add 85 + 35 + 115 and you will get 235.

Now subtract 235 from 360.

360 - 235 = 125 degrees

Now to find x, do

-32x - 3 = 125

-32x = 128

-32x/-32 = 128/-32

x = -4

Hope it helped! My answer is expert verified.

Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant.
A person's core body temperature (°F) in relation to time of day

a. Independent Variable: time of day, Dependent Variable: temperature Graph falls until morning and then steadily rises throughout the day.


b. Independent Variable: time of day, Dependent Variable: temperature Graph is constant and then rises.

c. Independent Variable: time of day, Dependent Variable: time of day Graph is constant and
then rises.

d. Independent Variable: temperature, Dependent Variable: time of day
Graph falls until morning
and then steadily rises throughout the day.​

Answers

Answer:

d number is the correct answer of the question

GIVING BRAINLIEST AND STARS

13)
Using a map scale of 1/2 inch = 10 miles, what would be the distance on the map between two cities that are actually 120 miles
apart?
A)
6 inches
B)
8 inches
C)
10 inches
D)
12 inches

Answers

Answer:

A) 6 Inches

Step-by-step explanation:

1/2=10 to find how many inches we need to get 120 miles, you have to find the conversion rate.

Conversion rate is 120 ÷ 10 which equals 12.

Now we multiply the conversion rate (12) times 1/2 to get an answer of 6 inches.

i'd appreciate a brainliest :)

Is this a function???

Answers

Answer:

pfft no lol

Step-by-step explanation:

yeah no

have a good day!  :)

plz give me brainliest

Answer:

yes

Step-by-step explanation:

i think,because it goes past the center it all

Identify the errors made in finding the inverse of
y = x2 + 12x.
x= y2 + 12x
y2 = x - 12x
y2=-11x
y=-11x, for x > 0
Describe the three errors?

Answers

Step-by-step explanation:

y = x2 + 12x.

x= y2 + 12x           would also be 12 y

y2 = x - 12x               would be -x

y2=-11x  

y=[tex]\sqrt{-11x}[/tex], for x > 0    negative  square root not possible

Describe the three errors?

The three errors made in finding the inverse of y = x² + 12x are,

⇒ First mistake to write 12y in place of 12x.

⇒ Second mistake to write the expression y² = x - 12x.

⇒ Third mistake because it never possible negative square root for x > 0.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = x² + 12x

Here, The process are,

⇒ y = x² + 12x.

⇒ x = y² + 12x

There is first mistake to write 12y in place of 12x.

⇒ y² = x - 12x

There is second mistake.

⇒ y² = -11x

⇒ y = √-11x, for x > 0

There is third mistake because it never possible negative square root for x > 0.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What equation is parallel to
y= - 1\4x + 5 and passes through (2,-3)

QUICK

Answers

Given:

The equation of parallel line is [tex]y=-\dfrac{1}{4}x+5[/tex].

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

[tex]y=-\dfrac{1}{4}x+5[/tex]

On comparing this equation with [tex]y=mx+b[/tex], where m is slope, we get

[tex]m=-\dfrac{1}{4}[/tex]

Slope of two parallel lines are always same. So, slope of required line is [tex]m=-\dfrac{1}{4}[/tex].

The required line passes through the point (2,-3) having slope [tex]m=-\dfrac{1}{4}[/tex], so the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}[/tex]

Subtracting 3 from both sides, we get

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3[/tex]

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}[/tex]

[tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex].

Bryson can travel 28 1/4 miles in 1/2 hour. What is his average speed in miles per hour?

Answers

Answer:

56 if rounding but 56.50 if not

Step-by-step explanation:

rate

A local grocery store decides to offer a free piece of fresh fruit (banana or apple) to all shoppers in the produce department. The store is conducting an observational study to determine which type of fruit is selected more often. At the end of the first day, the store found that twice as many shoppers select an apple.
The grocery store then repeats the observational study for 14 days. All studies yield similar results. What generalization can be made from the results of this study?

A.
Given the choice of a banana or an apple, twice as many shoppers will select an apple.
B.
The results are inconclusive; therefore, a generalization cannot be made regarding which type of fruit is preferred by most shoppers.
C.
There is not enough information to generalize the study’s results.
D.
Given the choice of any type of fruit, twice as many shoppers will select an apple.

Answers

Answer:

A.

Step-by-step explanation:

If the results are similar (A) should be your answer!

Option A is correct.

What is generalization?

Generalization is a process which leads to something more general and whose product consequently refers refers to an actual or potential manifold  in a certain way.

According to the given question

"At the end of the first day, the store found that twice as many shoppers select an apple"

So, the generalization can be made from the above result is " from the given choice of a banana or an apple, twice as many shoppers will select an apple".

Hence, option A is correct.

Learn more about generalization here:  

https://brainly.in/question/10736010

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Which describes the missing number plotted on the number line?
A. the opposite of -4
B. the opposite of 4
C. the absolute value of -4
D. the absolute value of 4

Answers

The answer is C for that

What is the GCF of 88 and 66?

Answers

Answer:

the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)

Step-by-step explanation:

have a good day!!

22 would be the greatest common factor

10 more than a number w is -2.6

Answers

What kind of question is that? That’s a statement.

Answer:

10 + w = -2.6

Step-by-step explanation:

If you rotate figure GTR 270° clockwise about the origin. What will be the coordinates of G’T’R’ (Please Help I need this done in five minutes.)

Answers

Answer:

C.  G' (4,-7), R' (2,-3), T'(6,-4)

Step-by-step explanation:

Get a piece of paper and draw 2 intersecting lines, like how a graph looks like. Then get another paper that's transparent enough, and place a dot roughly where R would be. Rotate it 270* clockwise (3 times around 90 degrees), and R would be in the bottom right area. That means the figure would be around that area and you can base the coordinates from that.

k/2 + 9 = 37
too lazy to do this work. lol

Answers

Answer:

K = 56

Step-by-step explanation:

Subtract 9

k/2 = 28

multiply by 2

k = 56

9 lb 4 oz - 2 lb 12 oz with regrouping

Answers

Answer:

6 LB 12 OZ

Step-by-step explanation:

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Answer:

6lb 8oz

Step-by-step explanation:

9lb 4oz

+16

8lb 20 oz

-2 lb 12oz =

Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

[tex]\angle J = 27[/tex]

[tex]\angle K = 90[/tex]

In WXY, we have:

[tex]\angle Y = 63[/tex]

[tex]\angle X = 90[/tex]

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

[tex]\angle J + \angle K + \angle L = 180[/tex]

We have that:

[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]

The expression becomes:

[tex]27 + 90 + \angle L = 180[/tex]

[tex]117 + \angle L = 180[/tex]

[tex]\angle L = 180-117[/tex]

[tex]\angle L = 63[/tex]

In WXY

[tex]\angle W + \angle X + \angle Y = 180[/tex]

We have that:

[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]

The expression becomes:

[tex]\angle W + 63 + 90 = 180[/tex]

[tex]\angle W + 153 = 180[/tex]

[tex]\angle W = 180-153[/tex]

[tex]\angle W = 27[/tex]

The three angles in JKL are:

[tex]\angle J = 27[/tex]    [tex]\angle K = 90[/tex]   [tex]\angle L = 63[/tex]

The three angles in WXY are:

[tex]\angle W = 27[/tex]   [tex]\angle X = 90[/tex]   [tex]\angle Y = 63[/tex]

By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)

5,10,20,40,80 determine if the pattern illustrates geometric sequence or not..​

Answers

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  2  gives the next term.

.

y = 230x + 100
Is this proportional or non proportional?

Answers

Answer:  Non proportional

Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.

The +100 at the end is why we don't have a proportional equation.

Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.

What is the difference between twice twenty-five and twice five and twenty?

Answers

25 is just 25 and five twice and 20 equals 30 because it’s 2 5’s which equal 10 plus 20 which equals 30

Use special right triangle ratios to find the length of the hypotenuse. Right Triangle Trig.

Answers

Answer:

11 sqrt(2)

Step-by-step explanation:

We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)

the length of x is 11

so the lengths of the sides are 11, 11, 11 sqrt(2)

The hypotenuse is 11 sqrt(2)

helpppppp pleaseeee


question: Why do we need to know the mass of a robot? *
why is this in math why does my teacher does this

Answers

Answer:

To know what the answer is

Step-by-step explanation:

clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.

to find out the equation take the seed and the time. (this to make it look like i answered) Taking the mass you will be able to find out how manyspeed is found by the time and masstime is found out by the mass and speedi dont know if this helped

Answer:

Step-by-step explanation:

The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.

Answers

Answer:

[tex]y = 320x +2080[/tex]

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]

[tex]m = \frac{1600}{5}[/tex]

[tex]m = 320[/tex]

Next, we calculate the line equation as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 2400 = 320(x - 1)[/tex]

[tex]y - 2400 = 320x - 320[/tex]

[tex]y = 320x - 320 + 2400[/tex]

[tex]y = 320x +2080[/tex]

What’s the answer to this radical function

Answers

Step-by-step explanation:

We have,

[tex]f(x) = - 2 \sqrt[3]{x + 7} [/tex]

Taking limit,

[tex] \lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7} [/tex]

If x approaches to positive infinity,

this implies f(x) approaches to negative infinity

How do you work this problem? 10x2 +25x

Answers

Answer:

x=-5/2,0

Step-by-step explanation:

It is solved by first factorizing it

10x²+25x=5x(2x+5)=0

Finding the zeros

5x=0x=0/5=0

2x+5=0

x=-5/2

Therefore x is -5/2 or 0

Other Questions
The partial factorization of x2 3x 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization? Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have? Give me 2 exponents that equal to 8 :) Peter has a vitamin deficiency, a skin problem, brain damage, and a chronic liver problem due to his chronic substance abuse of which drug? Greg invested $11,000 in two accounts. The first account pays 5% interest per year. The second account pays 8% interest per year.Greg earned a total of $752.50 in interest at the end of the first year.How much did Greg invest in the 5% account?A) 6750B) 3415C) 5500D) $4250 please urgent please beg If a wide receiver catches the football inside the End zone, what's that called? 1. First Down2. Field Goal3. Touchdown 3. Solve (5x 4)(x 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6 A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below. Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?O x = -2, x = -8O x = -2, x = -6O x = -2, x = 6O x = -2, x = 8 What is the solution to the following system of equations?2x + y = 0x + 2y = 3Group of answer choices(0, 0)(-1, 2)(2, -4)(-5, 4) its almost 3 am and i cant sleep omg How did early writing create and maintain power? * Read the sentence.The flower lifted its face skyward to drink in the softly falling rain.This sentence is an example of _____.analogypersonificationsimilehyperbole In raising an object vertically at a constant speed of 2 m / s 10 watts of power is developed the weight of the object is Ill mark brainlist whoever gives the right answer! describe the Sugar Act in 20 or more words. giving 20 pints and brainlyist PLEASE ANSWER FAST I NEED HELPPP Which person has the highest taxable income?Person A: Earns $50,000 per year with $5,000 in deductionsPerson B: Earns $60,000 per year with $10,000 in deductionsPerson C: Earns $90,000 per year with $30,000 in deductionsPerson D: Earns $100,000 per year with $60,000 in deductionsA. Person BB. Person DC. Person AD. Person C Plsss help ty Ill mark u