Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?

Answer/Step-by-step explanation:

Given:

P(2, 6)

Q(-6, 1)

Required:

a. PQ

b. Coordinate of the midpoint of PQ

SOLUTION:

a. [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P(2, 6) = (x_1, y_1) [/tex]

[tex] Q(-6, 1) = (x_2, y_2) [/tex]

[tex] PQ = \sqrt{(-6 - 2)^2 + (1 - 6)^2} [/tex]

[tex] PQ = \sqrt{(-8)^2 + (-5)^2} = \sqrt{64 + 25} [/tex]

[tex] PQ = \sqrt{89} = 3.1 [/tex] (to nearest tenth)

b. Coordinate of the midpoint of PQ

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] P(2, 6) = (x_1, y_1) [/tex]

[tex] Q(-6, 1) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{2 +(-6)}{2}, \frac{6 + 1}{2}) [/tex]

[tex] M(\frac{-4}{2}, \frac{7}{2}) [/tex]

[tex] M(-2, \frac{7}{2}) [/tex]

The coordinates of the midpoint of PQ are (-2,3.5) and this can be determined by using the midpoint formula.

Given :

Coordinates  --  P(2,6) and Q(-6,1)

The following steps can be used in order to determine the coordinates of the midpoint of PQ:

Step 1 - According, to the given data, the coordinates of point P(2,6) and Q(-6,1).

Step 2 - The formula of midpoint can be used in order to determine the midpoint of PQ.

Step 3 - The midpoint formula is given below:

[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]

[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]

Step 4 - Substitute the values of the coordinates in the above formula.

[tex]\rm x = \dfrac{2-6}{2} = -2[/tex]

[tex]\rm y = \dfrac{6+1}{2}=3.5[/tex]

So, the coordinates of the midpoint of PQ are (-2,3.5).

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Answer:

1516 Gallons

Step-by-step explanation:

For this problem, we will simply take the initial amount of water, 1500 gallons, and add the extra water after eight hours.

So if the pool is filling at a rate of 2 gallons per hour, and 8 hours pass by, then the pool will have filled an additional 16 gallons.  (2 * 8 = 16).

Then, we add the initial amount of 1500 gallons to the additional 16 gallons to get the amount of water in the pool after 8 hours.

The total the pool is holding is 1516 gallons after 8 hours.

Cheers.

The equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

Average speed is defined as the rate of change in distance of a body. Mathematically;

Given the distance of the runner in miles to be;

To express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;

Substituting D = 6.2miles into the formula;

Cross multiply

Divide both sides by 's'

st/s = 6.2/s

t = 6.2/s

Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

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Answer:

x=-9, x=1/4

Step-by-step explanation:

Split it into x+9=0 and 4x-1=0.

x+9=0; x=-9

4x-1=0; 4x=1; x=1/4

Answer:

The question is unclear and incomplete.

Let me explain the degrees of freedom in statistics.

Step-by-step explanation:

Statistically, degrees of freedom which is denoted as DF is the number of independent values that can vary in an analysis without breaking any constraints. It can also be referred to as the number of independent values that a statistical analysis can estimate.

Degrees of freedom also define the probability distributions for the test statistics of various hypothesis tests.

The degree of freedom has the formula:

DF = N - 1 where N number of random variables

DF = (R - 1) x (C - 1) Where R is the number of data values and C is the number of groups

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^{2} + 23x + 20}}}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{(2x + 5)(3x + 4)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒[tex] \sf{2x(3x + 4) + 5(3x + 4)}[/tex]

⇒[tex] \sf{6 {x}^{2} + 8x + 15x + 20}[/tex]

Collect like terms

⇒[tex] \sf{6 {x}^{2} + 23x + 20}[/tex]

Hope I helped !

Best regards!!

Answer:

17.4

Step-by-step explanation:

44/5 = 8.8

73/5 = 14.6

8.8 + 14.6 = 23.4

23.4 - 6 = 17.4

Answer:

6.5=.065

Step-by-step explanation:

im assuming this is 6.5/100

hope this helps :)

The correct answer is B. The number of seats in the restaurant

Explanation:

The number of seats is a quantitative variable because this is expressed using numbers and can be understood through numbers.  For example, the average of seats in the restaurants in the area can be calculated by finding the total of seats and dividing the number into the number of restaurants.

On the other hand, the type of cuisine and the restaurant critic's letter grade do not involve numbers but qualities, which make them qualitative variables. Also, even if zip codes are expressed using numbers these cannot be understood through them, for example, you cannot add two zip codes.

Answer:

B

Step-by-step explanation:

Answer:

900000

Step-by-step explanation:

You multiply 90000 by 10= 900000 which is also 10/10 of of 900000 which means 1/10 of 900000 is 90000

Answer:

900000

Step-by-step explanation:

Answer: 5 cm

Step-by-step explanation:

To use a ruler, you read it from left to right, where the numbers get larger and larger. The blue end of the ruler starts at 0 cm, where it should start. Going right, we see that it ends at 5 cm. Therefore, our answer is 5 cm.

Answer: C) -3

Step-by-step explanation: 4(-3) + 12 = 0

Answer:

Premium

Step-by-step explanation:

took the test on Edge

The $75 payment that Nelson must make each month after buying the Car is called; A: Premium

Insurance Premium is defined as the amount of money that one will have to pay for an insurance contract. The insurance premium simply represents the income of the insurance company concerned.

Now, the amount of premium paid for different insurance  policies usually differs depending on a number of factors. However, the greater the risks associated with an insurance policy, the higher the premium that will be paid.

Since Nelson must make $75 payment each month, then that is referred to as the Premium.

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Answer: 3 71/100

Step-by-step explanation:

Answer:

The answers Outside

Answer:

1) [tex](4x)(x+2)-x(3x+5)[/tex]

2A) [tex]w^2+3w[/tex]

2B) [tex]28\text{ in}^2[/tex]

Step-by-step explanation:

1)

First, let's write the expressions for the area of the entire shaded region and the white area.

The formula for the area of a rectangle is given by:

[tex]A=lw[/tex]

For the entire shaded rectangle, the length is (4x) and the width is (x+2). So, the area is:

[tex](4x)(x+2)[/tex]

For the white rectangle, the length is (3x+5) and the width is (x). So, the area is:

[tex]x(3x+5)[/tex]

The shaded area is the entire shaded rectangle minus the area of the white rectangle. Therefore, our expression would be:

[tex](4x)(x+2)-x(3x+5)[/tex]

2)

Part A)

So, we are given that the length of the rectangle is 3 inches greater than the width.

The area of a rectangle is given by:

[tex]A=lw[/tex]

So, let w be width and let l be the length.

Since the length is 3 inches greater than the width, this means that the l is (w+3).

Thus, substitute. Our expression will therefore be:

[tex]lw\\w(w+3)[/tex]

Since we want a polynomial, let's expand:

[tex]=w^2+3w[/tex]

Part B)

To find the area when the width is 4, substitute 4 for w:

[tex]w^2+3w\\=(4)^2+3(4)[/tex]

Square and multiply:

[tex]=16+12[/tex]

Add:

[tex]=28\text{ in}^2[/tex]

So the area is 28 square inches.

Answer: is B

Step-by-step explanation:

-20, xmax

The most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

The given function is  f(x)=-|x+5|+12.

We need to find the most appropriate viewing window for determining the domain and range of the function.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞, ∞), {x|x∈R}

Range: (-∞, 12], {y|y≤12}

So,window=Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20

Therefore, the most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

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Answer:

y = -x/2 -1/2

Step-by-step explanation:

[tex]x + 2y + 1 = 0\\[/tex]

Write in the y=mx+b form

[tex]2y =-x-1+0\\2y =-x-1[/tex]

Divide both sides by 2

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

Answer:

41/20

Step-by-step explanation:

Simplify the following:

4/5 + 1/2 + 3/4

Hint: | Put the fractions in 4/5 + 1/2 + 3/4 over a common denominator.

Put 4/5 + 1/2 + 3/4 over the common denominator 20. 4/5 + 1/2 + 3/4 = (4×4)/20 + 10/20 + (5×3)/20:

(4×4)/20 + 10/20 + (5×3)/20

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16/20 + 10/20 + (5×3)/20

Hint: | Multiply 5 and 3 together.

5×3 = 15:

16/20 + 10/20 + 15/20

Hint: | Add the fractions over a common denominator to a single fraction.

16/20 + 10/20 + 15/20 = (16 + 10 + 15)/20:

(16 + 10 + 15)/20

Hint: | Evaluate 16 + 10 + 15 using long addition.

| 1 |  

| 1 | 6

| 1 | 5

+ | 1 | 0

| 4 | 1:

Answer:  41/20

Answer: b=20

Step-by-step explanation:

Subsitute a for 20.

b=20/4-3

b=20/1

b=20

Answer:

pretty positive it’s 2

Step-by-step explanation:

if a=20 then you’d use pemdas so 20/4=5 then 5-3=2 so b=2

Answer:

(124)(29)

=10616832

Step-by-step explanation:

Answer:

The playground is 160ft by 360ft.

The model is 4in by 9in

First, 1ft = 12 inches.

Then the measures of the playground, in inches, is:

160*12in = 1920 in

360*12in =  4320in

The playground is 1920in by 4320in.

Then, the ratios between the measures of the playground and the model are:

1920in/4in = 480

4320in/9in = 480

This means that each inch in the model, represents 480 inches in the actual playground.

Answer:

[tex]3y^3 - 5x[/tex]

Step-by-step explanation:

Hey there!

Given,

[tex]x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3[/tex]

Combine like terms

[tex]3y^3 - 5x[/tex]

Hope this helps :)

Answer:

= -3y³ - 5x

Step-by-step explanation:

x - 3y³ + 3x³ - 5x - x³ - x - 2x³

= -3y³ + (3x³ - x³ - 2x³) + (x - 5x - x)

= -3y³ + 0  - 5x

= -3y³ - 5x

Answer:

27

Step-by-step explanation:

Answer:

the answer would 13

Step-by-step explanation:

Complete Question

Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.

P(x<81)

P(x<81)=__(Round to four decimal places).

Answer:

The  value  is  [tex]P(x < 81) = 0.11507[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 87[/tex]

  The  standard deviation is  [tex]\sigma = 5[/tex]

The probability is mathematically represented as

              [tex]P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )[/tex]

            [tex]P(x < 81) = P (Z < - 1.2)[/tex]

From the z-table  

                   [tex]P (Z < - 1.2) = 0.11507[/tex]

So               [tex]P(x < 81) = 0.11507[/tex]

Answer:

Second one

Step-by-step explanation:

The total length is 5 ft and Gracia has used 2 ft.

The second answer illustrates correctly the difference between 5 and 2 wich the remaining length.

● 2 + x = 5

We moved right x units

x is 3 (aftet solving the equation ir simply counting the units)

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Step-by-step explanation:

Answer:

Ratio = 5:1

         = 5 / 1

Number of teachers = 15

Lets take the number of students = x

Therefore,

5:1 = x:15

= 5/1 = x/15

x = 15 × 5

  = 75 students

Hope it helps!!

Answer:

One Way Trip There = ($460.22)

There and Back Trip = ($465.26)