The **range** of the function in this situation as required in the task content is; **Choice D**; 0 ≤ y ≤ 3.

It follows from the task content that the **range** of the function described by the situation is to be determined.

The set of all possible output values of a function, otherwise termed the dependent variable, y is called the **Range**.

It follows that since the **distance** he has remaining,** y** is a function of how long he has been riding the bike, x and it's said that; the boy lives **3 miles** from the library; the range of the function described is; **Choice D** ; 0 ≤ y ≤ 3.

Please Note: The term, **domain** encompasses the set of all possible input values, otherwise termed the independent variable, **x**.

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4х-бу=-26

-2x+3y=13

Answer: below in photo

Describe the correlation:

r = -.009

strong positive

weak negative

weak positive

moderate negative

The **correlation** for r = -0.009 is B. weak negative.

The Pearson **correlation coefficient** (r) is the most commonly used metric for determining a linear relationship. It is a number ranging from -1 to 1 that indicates the strength and direction of a link between two variables. When one variable shifts, the other shifts in the same way.

**Positive correlation** is graded on a scale of 0.1 to 1.0. Weak positive correlation would be between 0.1 and 0.3, moderate positive correlation between 0.3 and 0.5, and strong positive correlation between 0.5 and 1.0. The stronger the positive **correlation**, the more probable the equities will move in unison. Having a minus means it's negative correlation.

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PLEASE HELP URGENT!!!!

**Answer:**

**Step-by-step explanation:**

answer is the first one: square root property of equality

BTS zzz

**Answer:**

Reflexive property of equality

**Step-by-step explanation:**

look at the image

Can someone help me in this please

Angles **supplementary **to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

So, angles supplementary to ∠3:

∠1 is supplementary to ∠3 (Straight angle)∠2 is supplementary to ∠3 (Inversely opposite angle)∠4 is supplementary to ∠3 (Straight angle)∠5 is supplementary to ∠3 (Adjacent angles)∠6 is supplementary to ∠3 (Alternate angles)∠7 is supplementary to ∠3 (Corresponding angle)(Refer to the image attached below)

Therefore, angles **supplementary **to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

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4. In the graph below, what is the line of reflection for triangle XYZ and triangle X'Y'Z"? (1 point)

the x-axis

Othe y-axis

Ox=2

Oy=2

In the graph given, the** line of reflection** for the triangle XYZ and triangle X'Y'Z' is x=2.

Given, the** coordinates **of the triangle XYZ are:

X = (4,5)

Y = (6,3)

Z = (3,2)

and the coordinates of the triangle X'Y'Z' are:

X' = (0,5)

Y' = (-2,3)

Z' = (1,2)

for image of the triangle XYZ to get reflected and become X'Y'Z',

**reflection of axis** takes place.

But the images are not identical and **symmetrical,** so the reflection is not about y axis.

we check for x=2

hence reflection of axis when x=a is :

P(x,y) →x'(2a-x , y)

therefore use the above formula and check the coordinates of the reflected image.

X(4,5) when x=2X(4,5) → X'(2(2)-4 , 5)

x(4,5) → X'(0,5)

Y(6,3) when x=2Y(6,3) → Y'(2(2)-6 , 3)

Y(6,3) → Y'(-2,3)

Z(3,2) when x=2Z(3,2) → Z'(2(2)-3 , 2)

Z(3,2) → Z'(1,2)

hence x=2 is the reflection of triangle XYZ and X'Y'Z'.

Therefore we get the requires answer.

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The height (h), in feet, of a balloon is calculated by using the equation h= 3+ + 2 where t is time, in seconds.What is the height of the balloon after 30 seconds?A. 60 ftB. 66 ftO C. 92 ftO D. 102 ft

Given data:

The given expression for height is h=3t+2.

Substitute 30 for t in the above expression.

[tex]\begin{gathered} h=3(30)+2 \\ =92\text{ ft} \end{gathered}[/tex]Thus, the height of the balloon after 30 seconds is **92 ft, so option (C) is correct.**

Solve three-fourths + two-sixths = ___.

five-tenths

five-twelfths

twelve-twelfths or 1

thirteen-twelfths or one and one-twelfth

The **value **of three-fourths + two-sixths is** thirteen-twelfths** or one and one-twelfth. Option D

A** fraction** can be defined as a **part** of a** whole **set or element.

There are several types of fractions which includes;

Simple fractionsComplex fractionsMixed fractionsProper fractionsImproper fractionsExamples of simple fractions; 1/ 2, 1/6

Examples of proper fractions; 2/3, 4/7

Examples of improper fractions; 4/3, 3/2

Examples of mixed fractions; 2 1/ 4, 7 1/2

From the information given, we have that;

3/ 4 + 2/ 6

Find the lowest common multiple

9 + 4 /12

13/ 12

Hence, the **value **is 13/12

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PLS HELPPPPPP

Points A(8, 4) and B(−7, 4) are located on a coordinate plane. Graph the pair of points. Then find the distance between them and complete the explanation.

If the** point** A(8,4) and B(-7,4) are located one the** coordinate plane**. Then the graph has been plotted and the distance between the points is 15 units

The first point = A(8,4)

The second point = B(-7,4)

Plot the point on the coordinate plane

The** distance between the two points** d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between the two points

[tex](x_1,y_1)[/tex] is the** coordinates** of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

**Substitute the values** in the equation

The distance d = [tex]\sqrt{(-7-8)^2+(4-4)^2}[/tex]

= [tex]\sqrt{(-15)^2}[/tex]

= 15 units

Hence, If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units

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The sum of two rational numbers is 4. If one of the numbers is 2/3, then what is the other number

**Answer:**

10/3

**Step-by-step explanation:**

Let x be the value of the second rational number. The first rational number is 2/3, and we are told that the sum of these numbers is 4:

x + 2/3 = 4

Therefore:

x + 2/3 = 4

x = 4 - 2/3

x = 12/3 - 2/3

x = (10/3)

A) 35° B) 55° C) 70° D) 145° In the figure above, lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, what is the measure of Z2?

If lines and m are parallel and lines s and t are **parallel**. If the measure of 21 is 35°, the measure of ∠2? is : **D**) 145°.

Based on the given figure ∠1 and ∠3 form a parallel line.

Now let determine the **measure **of ∠2

Hence,

∠1+∠3=180 °

35° +∠3= 180 °

∠3 = 180 ° - 35°

∠3 = 145 °

The corresponding **angles **is ∠4 = ∠3 = 145 °

∠ 2 an ∠ 4 are as well a corresponding angles

So,

∠2 = ∠4 = 145 °

Therefore the we can conclude that the correct option is **D.**

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Missy rode her bicycle 16 miles in 1 1/4 hours. What was her average speed in miles per hour

**Answer: 12.8 miles per hour**

**Step-by-step explanation: **

**divide 16 by 1.25 in order to get your answer**

Brickhouse is expected to pay a dividend of $3.30 and $2.52 over the next two years, respectively. after that, the company is expected to increase its annual dividend at 4.2 percent. what is the stock price today if the required return is 11.6 percent?

The **company’s stock price** today would be $33.46.

Dividend per share Year 1 (D1) = $3.30 per share

Dividend per share Year 2 (D2) = $2.52 per share

Calculation of**Stock Price** for the Year 2 (P2) = D2(1 + g) / (Ke – g)

= $2.52(1 + 0.042) / (0.1160 – 0.042)

= $2.63 / 0.0740

= $35.48 per share

The Stock Price todayThe **company’s stock price** is the** Present Value** of the future dividend payments and the **present value** the** stock price** for the year 2

The Stock Price = D1/(1 + r)1 + D2/(1 + r)2 + P2/(1 + r)2

= $3.30/(1 + 0.1160)1 + $2.52/(1 + 0.1160)2 + $35.48/(1 + 0.1160)2

= [$3.30 / 1.1160] + [$2.52 / 1.24546] + [$35.48 / 1.24546]

= $2.95 + $2.02 + $28.49

= $33.46 per share

Hence, the** company’s stock price** today would be $33.46.

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5y/3 = 30 solve for y simplify your answer as much as possible

**Answer: y= 18**

**Step-by-step explanation:**

5y/3 = 30

First step: multiply 3 on both sides

5y/3 * 3 = 30*3

5y = 90

Second step: divide 5 on both sides (isolating variable)

5y/5 = 90/5

y = 18

**Answer:**

y = 18

**Step-by-step explanation:**

[tex]\frac{5y}{3}[/tex] = 30 ( multiply both sides by 3 to clear the fraction )

5y = 3 × 30 = 90 ( divide both sides by 5 )

y = 18

please help with this homework

**Answer: **

**a.) x = 5**

**b.) x = 35/2 = 17.5**

**Step-by-step explanation:**

In both problems, we are trying to solve for x, which means we need to isolate it on one side of the equation.

a.) 5/2 x + 1 = 11

5/2 x = 10

Now to divide by a fraction is the same as multiplying by the reciprocal.

x = 10 * 2/5 = 4

b.) 2/7 x - 3 = 2

2/7 x = 5

To divide by a fraction is the same as multiplying by the reciprocal.

x = 5 * 7/2 = 35/2 = 17.5

an you guys help me with this one too

**Amanda** and **Diana** given **right** solution set.

The solution set of given **graph** of **inequality** is,

x < 4.

Now, The solution of given created **inequality**,

Amanda:- -3x + 5 > -7

=> -3x> -7 -5

=> - 3x > -12

=> 3x < 12

=> x < 4

So, it is correct

Briana:- 1/2 (2x - 4)> 2

=> 2x - 4 > 4

=> 2x > 8

=> x > 4

It is wrong

Courtney:- -7x+8 > -3x + 24

=> -7x + 3x > 24 - 8

=> -4x > 16

=> 4x < -16

=> x < -4

It is wrong

Diana:- 9x -6 < 3x + 18

=> 9x - 3x < 18 + 6

=> 6x < 24

=> x < 4

So, it is right

Hence, **Amanda** and **Diana** given **right** solution set.

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4z+7 what is the value of z

**Answer: it could literally be anything**

**Step-by-step explanation: if 4*z+7=15 then z=2**

5. Find the equation of the line joining the points A(5, 7) and B(8, 12).

**Given:**

There are given that the two points:

[tex]A(5,7),and,B(8,12)[/tex]**Explanation:**

According to the question:

We need to find the equation of the line:

Then,

To find the equation of the line, first, we need to find the slope of the line.

So,

From the formula of the slope of the line:

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

[tex]x_1=5,y_1=7,x_2=8,y_2=12[/tex]Then,

Put all the values into the given formula:

So,

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{12-7}{8-5} \\ m=\frac{5}{3} \end{gathered}[/tex]Then,

From the formula of the equation of the line:

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

Put the value of m into the above equation:

So,

[tex]\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-7=\frac{5}{3}(x-5) \\ 3y-21=5(x-5) \\ 3y-21=5x-25 \end{gathered}[/tex]Then,

[tex]\begin{gathered} 3y-21=5x-25 \\ 3y-21+21=5x-25+21 \\ 3y=5x-4 \\ y=\frac{5}{3}x-\frac{4}{3} \end{gathered}[/tex]**Final answer:**

Hence,** the equation of line is shown below:**

How do to solve this problem? (The answer is 262 Hz) I don't need to know the question that it is asking. I just want to know how to solve the equation and its answer. I am a grade 10 student if this helps you.

Step-by-step explanation:

Given the formula below

[tex]undefined[/tex]solve for z

6(x-h)=z

Answer: I hope these two answers help please mark me brainlist

Step-by-step explanation:

Simplifying

z = 6(x + -1h)

Reorder the terms:

z = 6(-1h + x)

z = (-1h * 6 + x * 6)

z = (-6h + 6x)

Solving

z = -6h + 6x

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying

z = -6h + 6x

or another answer

6(x-h)=z

Distribute 6 through the parentheses

6x-6h=z

Swap the sides of the equation

Z= 6x-6h

Please Help I'm soooo stuck

There are 40 fish in a pond. 12 of the fish are bream. Of the fish that are not bream, 1/4 are tench and the rest are carp.

What is the ratio of bream to tench to carp in the pond? Give your answer in its simplest form.

The **ratio** of **bream** to **tench** to carp is given by the expression; 12 : 7 : 21

A **ratio** is a **relationship** between two or more items, that **quantitatively** expresses the number of times a unit item can be found within the quantity of each item in the set of items.

The given parameters are;

**Number** of **fish** in the **pond** = 40

The number of fish in the pond that are bream = 12

The number of fish that are tench = 1/4 of the fish that are not bream

The number of the fish that are carp = The rest of the fish that are not bream or carp

Required;

The ratio of bream to tench to carp of the fish in the pond.

Solution;

The number of fish that are either tench or carp = 40 - 12 = 28

The number of the fish that are tench = (1/4) × 28 = 7

Therefore;

The number of fish that are carp = 28 - 7 = 21

Which gives;

Number of bream in the pond = 12

Number of tench in the pond = 7

Number of carp in the pond = 21

The ratio of the number of bream to tench to carp in the pond is given by the expression;

[tex]\displaystyle{ \frac{12}{40}:\frac{7}{40}:\frac{21}{40}}[/tex]

Given that the expression for the ratio cannot be simplified further, we have;

The ratio of bream to tench to pond is 12 : 7 : 21

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If x = 6 and y = 4, work out the value of the following:

4x + y

2y squared

( x - y ) squared

**Step-by-step explanation:**

If x = 6 and y = 4. Substitute x and y in the expression.

4x+y

4(6)+(4)

24+4

28

2y²

2(6)²

2(36)

72

( x - y )²

(6+4)²

(10)²

100

Write the equation of the line in fully simplified slope-intercept form.

**Answer:**

**Step-by-step explanation:**

Choose two points on the graph: (-6,-7) and (6,-9)

The straight line equation is: y=mx+b

[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-6\ \ \ \ x_2=6\ \ \ \ \ y_1=-7\ \ \ \ y_2=-9\\\\m=\frac{-9-(-7)}{6-(-6)} \\\\m=\frac{-9+7}{6+6} \\\\m=\frac{-2}{12} \\\\m=-\frac{1}{6}\\\\Hence,\ y=-\frac{1}{6}x+b\ \ \ \ \ (1)[/tex]

To determine the coefficient b, take any of the two points,

for example (-6,-7), that is, x=-6 y=-7

Substitute these values into formula (1):

[tex]\displaystyle\\-7=-\frac{1}{6}(-6) +b\\\\-7=1+b\\\\-7-1=1+b-1\\\\-8=b\\\\Thus,\ b=-8\\\\The\ result\ is\ y=-\frac{1}{6}x-8[/tex]

What is the purpose of carbon sequestering technology? To remove carbon from the air and put it into the ground To use respiration to remove carbon from the air To release carbon from the ocean and move it into the air To store carbon in glaciers and snow

**Carbon sequestering technology** has the main **purpose **of being used To remove carbon from the air and put it into the ground.

Find out more below.

What is carbon sequestering?**Carbon Sequestering** refers to various processes that are used to remove the **carbon **in the air. This **carbon **is then stored in various places such as the **ground **and the oceans.

Carbon Sequestering happens naturally such as the process of photosynthesis. Thanks to Carbon Sequestering **technology **however, humans are able to use the technology to reduce our carbon footprint on Earth.

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Find the measure of B

The given angles in the triangle are :

A = (2x+3)°

B=(5x)°

C = (10x)°

To find the measure of angle B , first we need to find the value of x

The value of x can be found out by equating the sum of three angles to 180°

=> (2x+3)° + 5x° + 10x° = 180

=> 17x + 3 = 180°

=> 17x = 180-3

=> 17 x = 177

=> x = [tex]\frac{177}{17}[/tex]

=> x = 10.4°

Angle B = 5x = 5(10.4) = 52° is the required measure of B

A = (2x+3)°

B=(5x)°

C = (10x)°

To find the measure of angle B , first we need to find the value of x

The value of x can be found out by equating the sum of three angles to 180°

=> (2x+3)° + 5x° + 10x° = 180

=> 17x + 3 = 180°

=> 17x = 180-3

=> 17 x = 177

=> x = [tex]\frac{177}{17}[/tex]

=> x = 10.4°

Angle B = 5x = 5(10.4) = 52° is the required measure of B

1. Technologies in the early 1800s not only

changed transportation but revolutionized what

as well?

a. black rights

b. the Constitution

c. women's rights

d. communication

The **technologies **that came in the early 1800s changed **transportation **and revolutionized D. **Communication**.

In the early 1800s, **technology **was making things better in the United States. The use of rail lines **changed transportation **by making many more areas accessible.

Thanks to this improvement in transportation, **communication **was also **revolutionized**. For instance, the rail lines made the Federal Postal Service better able to do its job. The Telegraph was also invented in the early 1800s (1844) and allowed for messages to travel much faster than ever before.

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HELP.

i want to know how to do all this "graph the slope equations" stuff. i need it as soon as you can, pls tell me the answer, how to do it, and tell me how it makes sense in SIMPLE FORM. I know its a lot but i need it. A piece of paper showing all the work would be nice too<3 <3 i will give brain points to the best answer.

9th grade Algebra 1

**Answer:**

y = 1/2x - 1

(fraction form)

or

y = 0.5x - 1

(decimal form)

**Step-by-step explanation:**

To graph:

Start at (0, 0), or the origin, which is in the center of the coordinate plane.Move over x units to the right or left. Then, move over y units up or down. Mark the point.If you're working with a linear equation, draw lines connecting points from left to right. For a quadratic equation, connect points with curved lines.Another suggestion, is to use Desmos Graphing Calculator (website) and just plug in the points to see where to graph.

Hope this helps! :)

Solve for b.49 = b 2b = = 1or

√49 = +/- 7

√16 = +/- 4 as you calculated

Congrats, you did it!

What is the solution set for -3x + 12 < 4x - 9

A) x > 21

B) x > 3

C) x < -3

D) x < -21

**Answer:**

**C) x < -3**

**Step-by-step explanation:**

-3x +12 < 4x - 9

-3x -4x < -12 - 9

-7x < -21

x > -3

A 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 240

calories?

**Answer: 37.31 minutes**

**Step-by-step explanation:**

in these number grids two numbers are added to get th number below. example 13 +12=25.write the number in the grid to make it correct 4+?+9+?+?=35

**Answer:**

7+7+8

**Step-by-step explanation:**

9+4=13

35-13=22

22÷3 because they are three question mark

so 7 r 1

. .

. 4+7+9+7+8 =35

Whats the term for 5 _ 13
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Por que una oracion es coordinada
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