Write the equation of the line through the given point. Use slope-intercept form. (-5,2); perpendicular to y = - 2/3x +5

Answers

Answer 1
[tex]y=\frac{3}{2}x+\frac{19}{2}[/tex]

Explanation

Step 1

we have a perpendicular line, its slope is

[tex]\begin{gathered} y=\frac{-2}{3}x+5 \\ \text{slope}=\frac{-2}{3} \end{gathered}[/tex]

two lines are perpendicular if

[tex]\begin{gathered} \text{slope}1\cdot\text{ slope2 =-1} \\ \text{then} \\ \text{slope}1=\frac{-1}{\text{slope 2}} \end{gathered}[/tex]

replace

[tex]\text{slope1}=\frac{\frac{-1}{1}}{\frac{-2}{3}}=\frac{-3}{-2}=\frac{3}{2}[/tex]

so, our slope is 3/2

Step 2

using slope=3/2 and P(-5,2) find the equation of the line

[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-2=\frac{3}{2}(x-(-5)) \\ y-2=\frac{3}{2}(x+5) \\ y-2=\frac{3}{2}x+\frac{15}{2} \\ y=\frac{3}{2}x+\frac{15}{2}+2 \\ y=\frac{3}{2}x+\frac{19}{2} \end{gathered}[/tex]


Related Questions

I need help figuring out how to write out this problem correctly.

Answers

Answer

[tex]\frac{\sqrt{10}}{11}[/tex]

Step-by-step explanation

Given the expression:

[tex]\sqrt{\frac{10}{121}}[/tex]

Distributing the square root over the division and evaluating the square root at the denominator:

[tex]\begin{gathered} \frac{\sqrt{10}}{\sqrt{121}} \\ \frac{\sqrt{10}}{11} \end{gathered}[/tex]

The con 3720bertar What can be interpreted from the youtercept of the functionRachel must pay $37 per month to use the gymRachel must pay $20 per month to use the gymRachel must pay a $37 membership fee to join the gymRachel must pay a $20 membership fee to join the samMaria wants to rent a car. She learns that the total daily costcated using the formula C = 5x + 30. hereseS driven that day. What does the constanteseer

Answers

f(x) = 37x + 20

Answer:

Option D, $20 is the membership beause it is a fixed cost, it does not depend on the amount of months

1 4 a) Is the above sequence arithmetic? Justify your answer. b) Write the explicit formula for the above sequence. c) Find the 18th term.

Answers

THe length of each cube is inreasing by 1. This means that the increment is in arithmetic sequence.

The formula for determining the nth term of an aritmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first tem of the sequence

Common difference, d represents the difference between consecutive terms

Given that a = 3, d = 1

Tn = 2 + (n - 1)1

Tn = 2 + n - 1

Tn = 1 + n

For the 18th term, n = 18

T18 = 1 + 18 = 19

The number of boxes in the square for the 19th term is

19 * 19 = 361

I have a question about how to solve graphing a system of inequalities and about how to do the (0,0)

Answers

The given system of inequality is

[tex]\begin{gathered} 2x-3y>-12 \\ x+y\ge-2 \end{gathered}[/tex]

At first, we must draw the lines to represent these inequalities

[tex]2x-3y=-12[/tex]

Let x = 0, then find y

[tex]\begin{gathered} 2(0)-3(y)=-12 \\ 0-3y=-12 \\ -3y=-12 \\ \frac{-3y}{-3}=\frac{-12}{-3} \\ y=4 \end{gathered}[/tex]

The first point is (0, 4)

Let y = 0

[tex]\begin{gathered} 2x-3(0)=-12 \\ 2x-0=-12 \\ 2x=-12 \\ \frac{2x}{2}=\frac{-12}{2} \\ x=-6 \end{gathered}[/tex]

The second point is (-6, 0)

We will do the same with the second line

Let x = 0

[tex]\begin{gathered} 0+y=-2 \\ y=-2 \end{gathered}[/tex]

The first point is (0, -2)

Let y = 0

[tex]\begin{gathered} x+0=-2 \\ x=-2 \end{gathered}[/tex]

The second point is (-2, 0)

Since the sign of the first inequality is >, then the line will be dashed

Since the sign of the second inequality is >=, then the line will be solid

Let us substitute x, y by the origin point (0,0) in both inequalities to find the shaded part of each one

[tex]\begin{gathered} 2(0)-3(0)>-12 \\ 0-0>-12 \\ 0>-12 \end{gathered}[/tex]

Since the inequality is true then the point (0, 0) lies on the shaded area

[tex]\begin{gathered} 0+0\ge-2 \\ 0\ge-2 \end{gathered}[/tex]

Since the inequality is true, then point (0, 0) lies in the shaded area

Let us draw the graph

The red line represents the first inequality

The blue line represents the second inequality

The area of two colors is the area of the solution

Point (0, 0) lies in this area, then it is a solution for the given system of inequalities

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96 m long and 64 m wide. Find the area of the training field. Use the value 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

To find:

The area of the training field.

Solution:

The training field is made of two semicircles and a rectangle.

The length and width of the rectangle is 96 m and 64 m. So, the area of the rectangle is:

[tex]\begin{gathered} A=l\times w \\ =96\times64 \\ =6144\text{ m}^2 \end{gathered}[/tex]

The diameter of the semicircle is 64 m. SO, the radius of the semicircle is 32 m.

The area of two semicircles is:

[tex]\begin{gathered} A=2\times\frac{1}{2}\pi r^2 \\ =3.14\times(32)^2 \\ =3.14\times1024 \\ =3215.36 \end{gathered}[/tex]

So, the area of the training field is:

[tex]\begin{gathered} A=6144+3215.36 \\ =9359.36 \end{gathered}[/tex]

Thus, the area of the training field is 9359.36 m^2.

What Is the inverse of.. (ignore pencil writing) -matrices- (there may be more than one answer

Answers

[tex]A^{-1}\text{ =}\begin{bmatrix}{2} & {-5} & {} \\ {-1} & {3} & {} \\ {} & {} & {}\end{bmatrix}\text{ (option B)}[/tex]

Explanation:[tex]\begin{bmatrix}{3} & {5} & {} \\ {1} & {2} & {} \\ {} & {} & {}\end{bmatrix}[/tex]

To find the inverse of the matrix, first let's find the determinant:

[tex]\begin{gathered} |A|\text{ = 3(2) - 5(1)} \\ |A|\text{ = 6 - 5} \\ |A|\text{ = 1} \end{gathered}[/tex]

Then, we'll find the Adjunct of the matrix:

[tex]\begin{gathered} \begin{bmatrix}{3} & {5} & {} \\ {1} & {2} & {} \\ {} & {} & {}\end{bmatrix}\text{ : interchange }3\text{ and 2. negate 1 and 5} \\ \text{Adjunct = }\begin{bmatrix}{2} & {-5} & {} \\ {-1} & {3} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex][tex]\begin{gathered} In\text{verse of the matrix = }\frac{1}{|A|}\times\text{ adjunct} \\ A^{-1}\text{ = }\frac{1}{1}(\begin{bmatrix}{2} & {-5} & {} \\ {-1} & {3} & {} \\ {} & {} & {}\end{bmatrix}) \\ A^{-1}\text{ =}\begin{bmatrix}{2} & {-5} & {} \\ {-1} & {3} & {} \\ {} & {} & {}\end{bmatrix}\text{ (option B)} \\ \end{gathered}[/tex]

A straight line is 180 degrees. Find the value of X.

Answers

Given a straight line angle = 180

So, the angles (9x-100) and (40-x) are supplementary angles

So,

[tex](9x-100)+(40-x)=180[/tex]

Solve for x:

[tex]\begin{gathered} (9x-x)+(40-100)=180 \\ 8x-60=180 \\ 8x=180+60 \\ 8x=240 \\ x=\frac{240}{8}=30 \end{gathered}[/tex]

So, the answer will be x = 30

Need help asap please and thank you

Answers

Answer:

y=[tex]\frac{1}{2}[/tex]x+1

Step-by-step explanation:

y=mx+b

m is the slope of the line, which you find by counting the rise over run between two points. In this case its up one, and right two, or [tex]\frac{1}{2}[/tex].

b is the y intercept, or where the line crosses the y axis

karen recorded her walking pace in the table below. what equation best represents this relationship

Answers

Given Data:

The table given here shows time taken in the first column and the distance travelled in the second column.

First check the ration of distance /time to verify if the speed of the man is constant or not.

[tex]\begin{gathered} \frac{8.75\text{ m}}{2.5\text{ h}}=3.5\text{ m/h} \\ \frac{14\text{ m}}{4\text{ h}}=3.5\text{ m/h} \end{gathered}[/tex]

As both ratios are same it means the speed of the man is constant and the distance travelled is directly proportional to the time taken and varies linealy with the time.

Now to determine the relationship between m and h we will use the same ratio of m and h which comes in the previous step.

[tex]\begin{gathered} \frac{m}{h}=3.5 \\ m=3.5h \end{gathered}[/tex]

Thus, option (D) is the required solution.

Over a set of 5 chess games, Yolanda's rating increased 10 points, increased 4 points,
decreased 21 points, increased 23 points and decreased 8 points.
Her rating is now 1647.
What was her rating before the 5 games?
A. 1639
B. 1649
C. 1655
D. 1661

Answers

Answer:

C. 1655

Step-by-step explanation:

+10, +4, -21, +23, -8

Adding all those terms together we get 8

1647 + 8 = 1655

complete the table of ordered pairs for the linear equation. 5x+8y=3

Answers

Given:

5x+8y=3

The objective is to fill the table using the given values of x otr y.

Let's take that, x=0 and substitute in the given equation.

[tex]\begin{gathered} 5x+8y=3 \\ 5(0)+8y=3 \\ 0+8y=3 \\ y=\frac{3}{8} \end{gathered}[/tex]

Hence, the the required solution will be (0,3/8).

Let's take that, y=0 and substitute in the given equation.

[tex]\begin{gathered} 5x+8y=3 \\ 5x+8(0)=3 \\ 5x+0=3 \\ x=3-5 \\ x=-2 \end{gathered}[/tex]

Hence, the the required solution will be (-2,0).

Let's take that, y=1 and substitute in the given equation.

[tex]\begin{gathered} 5x+8y=3 \\ 5x+8(1)=3 \\ 5x+8=3 \\ 5x=3-8 \\ 5x=-5 \\ x=-\frac{5}{5} \\ x=-1 \end{gathered}[/tex]

Hence, the the required solution will be (-1,1).

Devon saw 19 adults wearing hats

Answers

Answer:

please add rest of question?

Step-by-step explanation:

Find the x-intercepts and y-intercept of the following
function.
f(x) = (x+7) (x + 1)(x − 2)
Write your answer in coordinate pairs of the form (x, y).
Provide your answer below:
x-intercept: ().(
]).() and
y-intercept:

Answers

Step-by-step explanation:

there are 3 x-intercepts (the x- values when y = 0). because y is only 0, when one of the 3 factors is 0.

and that is the case for

x = -7

x = -1

x = 2

so, formally, the x- intercepts are

(-7, 0), (-1, 0), (2, 0)

the y intercept is the y- value when x = 0.

(0 + 7)(0 + 1)(0 - 2) = 7×1×-2 = -14

the y-intercept is formally

(0, -14)

Solve the equation 7-(5t-13)=-25-15b+21+5b=-19

Answers

Let's solve the following expressions:

a.) 7 - (5t - 13) = -25

[tex]\text{ 7 - (5t - 13) = -25}[/tex][tex]\text{ 7 - 5t + 13 = -25}[/tex][tex]\text{ 20 - 5t = -25}[/tex][tex]\text{-5t = -25 - 20}[/tex][tex]\text{-5t = -4}5[/tex][tex]\frac{\text{-5t}}{-5}\text{ = }\frac{\text{-4}5}{-5}[/tex][tex]\text{ t = 9}[/tex]

Therefore, t = 9

b.) -15b + 21 + 5b = -19

[tex]-15b+21+5b=-19[/tex][tex]-10b+21=-19[/tex][tex]-10b=-19\text{ - 21}[/tex][tex]-10b=-40[/tex][tex]\frac{-10b}{-10}=\frac{-40}{-10}[/tex][tex]\text{ b = 4}[/tex]

Therefore, b = 4

What is 4x+10(2x) - 8x

Answers

4x+10(2x) - 8x​

First, multiply to solve the parentheses:

4x+20x-8x

Add and subtract

16x

Given the function f(x)={4x+7 if x<0 6x+4 if x>0 _

Answers

Given:

[tex]f(x)=\begin{cases}4x+7ifx<0{} \\ 6x+4ifx\ge0{}\end{cases}[/tex]

Required:

To find the value of f(-8), f(0), f(4), and f(-100)+f(100).

Explanation:

f(-8) :

Clearly -8<0,

So

[tex]\begin{gathered} f(x)=4x+7 \\ f(-8)=4(-8)+7 \\ =-32+7 \\ =-25 \end{gathered}[/tex]

f(0) :

Clearly 0=0,

[tex]\begin{gathered} f(x)=6x+4 \\ =6(0)+4 \\ =4 \end{gathered}[/tex]

f(4) :

Clearly 4>0,

[tex]\begin{gathered} f(x)=6x+4 \\ f(4)=6(4)+4 \\ =24+4 \\ =28 \end{gathered}[/tex]

f(-100)+f(100) :

-100<0

[tex]\begin{gathered} f(x)=4x+7 \\ f(-100)=4(-100)+7 \\ =-400+7 \\ =-393 \end{gathered}[/tex]

100>0

[tex]\begin{gathered} f(x)=6x+4 \\ f(100)=6(100)+4 \\ =600+4 \\ =604 \end{gathered}[/tex][tex]\begin{gathered} f(-100)+f(100)=-393+604 \\ \\ =211 \end{gathered}[/tex]

Final Answer:

[tex]\begin{gathered} f(-8)=-25 \\ \\ f(0)=4 \\ \\ f(4)=28 \\ \\ f(-100)+f(100)=211 \end{gathered}[/tex]

What two variables can you define to write an equation to match this scenario?x = number of minutes for fruit cans and y = number of minutes for vegetable cansx = total number of minutes and y = total number of cansx = number of minutes for fruit and y = total number of cansx = total number of minutes and y = number of minutes for vegetables

Answers

An equation to correctly match this scenario would have to include both separate products. The current order which is 384 cans of food, includes both fruits and vegetables, and therefore any expression that does not include them both would give a wrong answer and the order would not be properly met.

The correct scenario is;

[tex]\begin{gathered} x=Number\text{ of minutes for fruit cans} \\ y=\text{Number of minutes for vegetable cans} \end{gathered}[/tex]

This way you can produce both at a maximum without overproducing one and underproducing the other.

Can someone help me with this geometry question?A.Triangular prismB.Hexagonal prismC.Triangular pyramidD.Hexagonal pyramid

Answers

B. Hexagonal Prism

1) One prism is defined, in terms of naming it by the base.

2) Counting the edges of the base in this net surface, we can tell that this is a Hexagonal Prism for the base is a hexagon.

Use the Distributive Property to solve the equation 2/3 (9a + 6) = 23.8

Answers

Distributive property tell us how to solve expressions in the form a(b+c), it says:

a(b+c)=ab+ac

Then,

[tex]\begin{gathered} \frac{2}{3}(9a+6)=23.8 \\ \frac{18a}{3}+\frac{12}{3}=23.8 \\ 6a+4=23.8 \\ 6a=23.8-4 \\ a=\frac{19.8}{6}=3.3 \end{gathered}[/tex]

Tiffany works at a lawnmower store.Part AA portion of Tiffany's monthly salary is based on commission. She earns 21% of everything she sells. This month she sold $27,000 worth of lawnmowers. Howmuch was her sales commission this month?Part BThe store purchased one riding lawn mower for $1,500 and sold it for $2025. What percentage was the markup for the mower?PartTiffany earns $15 per hour. The store offers her a raise-a 2% increase per hour. After the raise, how much will Tiffany make per hour?

Answers

1) Gathering the data

Part A

Tiffany's Commission: 21%

Sales Revenue: 27,000

2) In this case, we can figure out how much has she earned by doing this:

[tex]27,000\text{ }\times0.21=5,670[/tex]

Part B)

$1,500

$ 2,025

We can solve it in 2 steps. Firstly let's find the equivalence of 2025 in percentage.

1500-------100%

2025- ----x

1500x = 202500

x=202500/1500

x =135%

Now we need to subtract from 100%. 135%-100%= 35%

So the percentage (markup) was 35%. That lawnmower was sold 35% above the price.

Part C)

$15 per hour

2% per hour (0.02)

In this, case we need a simple calculation multiplying that 15 by (1 +0.02)

15 x ( 1 +0.02)

15 x (1.02)

15.3

After the raise, Tiffany earns $15.30 per hour

Will give brainliest thank you..!

Answers

Answer:

4

Step-by-step explanation:

4

4

4

4

Can you help me solve the domain of this math word problem?

Answers

the domain refers to all possible values of x in the function.

since a negative time does not make sense, the smallest value of the domain is zero

on the other hand, the problem indicates that the model is considered accurate up to 100,000 years, therefore that would be the largest value of t

in conclusion, the domain of the function A(t) is

[tex]\lbrack0,100000\rbrack[/tex]

[ 0 , 100,000 ]

Write problem as a single radical using the smallest possible root. 20

Answers

Answer::

[tex]\sqrt[30]{r^{29}}[/tex]

Explanation:

Given the expression:

[tex]\sqrt[5]{r^4}\sqrt[6]{r}[/tex]

First, rewrite the expression using the fractional index law:

[tex]\begin{gathered} \sqrt[n]{x}=x^{\frac{1}{n}} \\ \implies\sqrt[5]{r^4}=r^{\frac{4}{5}};\text{ and} \\ \sqrt[6]{r}=r^{\frac{1}{6}} \end{gathered}[/tex]

Therefore:

[tex]\sqrt[5]{r^4}\times\sqrt[6]{r}=r^{\frac{4}{5}}\times r^{\frac{1}{6}}[/tex]

Use the multiplication law of exponents:

[tex]\begin{gathered} a^x\times a^y=a^{x+y} \\ \implies r^{\frac{4}{5}}\times r^{\frac{1}{6}}=r^{\frac{4}{5}+\frac{1}{6}} \\ \frac{4}{5}+\frac{1}{6}=\frac{24+5}{30}=\frac{29}{30} \\ \operatorname{\implies}r^{\frac{4}{5}}\times r^{\frac{1}{6}}=r^{\frac{4}{5}+\frac{1}{6}}=r^{\frac{29}{30}} \end{gathered}[/tex]

The resulting expression can be rewrittem further:

[tex]\begin{gathered} r^{\frac{29}{30}}=(r^{29})^{\frac{1}{30}} \\ =\sqrt[30]{r^{29}} \end{gathered}[/tex]

The single radical is:

[tex]\sqrt[30]{r^{29}}[/tex]

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,529.6 miles. The next time he fills up his Jeep, he pays for 10 gallons of gasoline he notes his odometer reading is 23,640.6 miles. How many miles per gallon did he get? (Round the answer to the nearest 10th if necessary.)

Answers

Answer:

11.1 miles per gallon

Explanation:

Given;

Odometer reading when the jeep is filled up with gasoline = 23,529.6 miles

Odometer reading when the jeep is filled up with 10 gallons of gasoline =23,640.6 miles

We can now go ahead and determine how many miles per gallon Harry got as seen below;

[tex]\begin{gathered} \frac{(Reading\text{ when j}eep\text{ is filled with 10 gallons }-Reading\text{ when j}eep\text{ is filled up)}}{\text{Gallo of gasoline}} \\ =\frac{23640.6-23529.6}{10}=\frac{111}{10}=11.1\text{miles per gallon} \end{gathered}[/tex]

So Harry got 11.1 miles per gallon

A local band was interested in the average song time for rock bands in the 1990s. They sampled eight different rock bands and found that the average time was 3.19 minutes with a standard deviation of 0.77 minutes.
Calculate the 95% confidence interval (in minutes) for the population mean.

Answers

The 95% confidence interval (in minutes) for the population mean is of:

(2.55, 3.83).

What is a t-distribution confidence interval?

The bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the parameters are described as follows:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The distribution is used when the standard deviation of the population is not known, only for the sample.

In the context of this problem, the values of the parameters are given as follows:

[tex]\overline{x} = 3.19, s = 0.77, n = 8[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 8 - 1 = 63 df, is t = 2.3646.

Then the lower bound of the confidence interval is calculated as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3.19 - 2.3646\frac{0.77}{\sqrt{8}} = 2.55[/tex]

The upper bound is calculated as follows:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3.19 + 2.3646\frac{0.77}{\sqrt{8}} = 3.83[/tex]

More can be learned about the t-distribution at https://brainly.com/question/16162795

#SPJ1

Find the missing factor. x2 - 11x + 18 = (x - 2)( .) Enter the correct answer. 000 DONE Clear all DOO

Answers

we have the second degree polynomial

[tex]x^2-11x+18[/tex]

we must find two numbers a,b such that

[tex]\begin{gathered} x^2-11x+18=(x+a)(x+b)\text{ and} \\ a+b=11 \\ ab=18 \end{gathered}[/tex]

We can see that, a=-2 and b=-9 fulfill the above conditions. Therefore, we have

[tex]x^2-11x+18=(x-2)(x-9)\text{ }[/tex]

I didn't really get it when my teacher tried to explain this

Answers

The formula for determining the volume of a cylinder is expressed as

V = pi * r^2h

Where

V represents volume of cylinder

pi is a constant whose value is 3.142

r represents radius of cylinder

h represents height of cylinder

From the information given,

h = 10

r = 3

V = 3.142 * 3^2 * 10

V = 282.78 in^3

The closest measurement is option A

solve the equation for x. x/16=10

Answers

[tex]\frac{x}{16}=\text{ }\frac{10}{1}[/tex]

To solve further cross multiply both sides

so that

[tex]x\text{ }\times1\text{ = 16 }\times10[/tex]

x = 160

Three times a number decreased by 1 is 10 Three times the difference of a number is 1 is 10One less than three times a number is 10The quotient of a number and 3 is 10

Answers

Three times a number decreased by 1 is 10:

X is the number.

3x = three times a number.

3x - 1 = 10 (Three times a number decreased by 1 is 10)

3x = 10 + 1

3x = 11

x = 11/3

Rewrite each equation in slope intercept form . Then determine whether the lines are perpendicular . Explain your answer .. y - 6 = - 5/2 (x + 4) 5y = 2x + 6

Answers

y - 6 = - 5/2 (x + 4)

To write in slope-intercept form means to write in the form;

y= mx + b

where m is the slope and b is the intercept

y - 6 = - 5/2 (x + 4)

open the parenthesis

y - 6 = -5/2 x - 10

add 6 to both-side of the equation

y = - 5/2 x - 10 + 6

y = -5/2 x - 4

[tex]y=-\frac{5}{2}x\text{ - 4}[/tex]

Next is to check whether 5y = 2x + 6 is perpendicular to the above

To do that, we have to make the equation to be in the form y=mx+ b

5y = 2x + 6

Divid through by 5

y = 2/5 x + 6/5

[tex]y\text{ = }\frac{2}{5}x\text{ + }\frac{6}{5}[/tex]

The slope of perpendicular equation, when multiply gives minus one (-1)

The slope of the first equation = -5/2

The slope of the second equation is 2/5

Multiplying the two slopes;

(-5/2) (2/5) = -1

Hence the lines are perpendicular

Other Questions
Label the rooms and items indicated. Use definite articles1-10 4) At a fundraising event, there is a raffle. A total of 165people bought a raffle ticket. The ratio of losing ticketsto winning tickets is 12:3. How many people wonsomething in the raffle? the bid rate of the nzd is $0.3300 while the ask rate is $0.3350 at capitol federal. the bid rate of the nzd is $.3201 while the ask rate is $.3250 at midwest bank. calculate your profit if you use $1 million and conduct locational arbitrage. Question 18 of 25What are the more appropriate measures of center and spread for this dataset?H1622 24 260246 8 10 12 14 16 18 20 22 24 26 28 30Select two choices: one for the center and one for the spread.A. Better measure of spread: standard deviationB. Better measure of center: mean Jess's age is six years less than three times Ethan's age. The product of their ages is 45. What are their ages? Hint: Write an equation to represent the product of their ages, using x to represent Ethan's age, then solve this quadratic equation. Connect each person to their correct age. The Muslim religious duties that include a declaration of faith, prayer, giving to thepoor, fasting, and a pilgrimage to Mecca are known as the Five Pillars.TrueFalse To what extent was the development of agriculture similar among various sites around the world. Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. How do the average intensities of the waves compare?. Help in this asap due soon How did the African slave trade begin?1.The Portuguese captured Africans and sold them as slaves.2.African societies enslaved many people they conquered or captured in battle.3.Europeans began colonizing North and South America.4.Muslim traders brought slaves with them to Africa to exchange for salt and ivory. 1. In polynomial x - 12; 12 is a ______ You live 3 miles from collage and 2 miles from the business where you work.Let d represent the distance between your work and the collage write an inequality involving d. Approximate when the function is positive, negative, increasing, or decreasing.Describe the end behavior of the function. you go outside in the evening and notice that Jupiter is visible in the night sky 5 hours later you look at it again. Describe Jupiter's location now, from your point of view on Earth. 3 Fig. 2.1 is a head-on view of an airliner flying at constant speed in a circular horizontal path. The centre of the circle is to the left of the diagram. Fig. 2.1 II (a) On Fig. 2.1, draw the resultant force acting on the airliner. Explain your answer. The five types of cells found in the epidermis are stem cells, keratinocytes, tactile cells, dendritic cells, and?. Whats the correct answer answer asap for brainlist An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample. (4 points)The population is 570. The sample is 138.The population is 570. The sample is 300.The population is 300. The sample is 138.The population is 138. The sample is 570.The population is 138. The sample is 300. PLEASE ANSWER ASAP1. The length of a bookshelf is 5 ft. The length of a model of this bookshelf is 3 ft. Find the scale of the model to the bookshelf. Enter your answer in the box.2. A rectangular garden has a length of 8 ft and a width of 4 ft. A smaller garden was made, using a scale of 3:4 . Find the dimensions of the smaller garden. Enter your answers in the boxes. as a general rule, is it safe to assume that a change in the price of a good will always have its most significant impact on the quantity demanded of that good, rather than on the quantity demanded of other goods? explain.