Select the correct answer. Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0B. 1C. 2D. 4E. infinitely many

Answer: Y - 2

Step-by-step explanation: (6Y / 6) - (12 / 6) = Y - 2

The slope is 1.

Explanation:

The equation of a line is written in "slope-intercept form as

The ounces of soda consumed by an adult next month are examples of a discrete random variable,  False

A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.

Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.  

Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.

Choice b(False) is correct.  

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1. The unit cost of red potatoes is $1.45/pound

2.  The unit cost of white potatoes is $1.81/pound

3.  Red potatoes bag is a better buy as it is cheaper than white potatoes while giving the same values of product.

A price is referred to as a unit cost when it is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can. Divide the ratio's terms if you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price.

For example,

$5.50 ÷ 5 pounds = $1.10 per pound

4) 4/1.8                                                        5)   5/6

  = 2.9                                                            = 0.83

  6/2.4                                                               12/14

  =2.5                                                             = 0.86

6 envelopes is better buy                    5 songs download is a bette buy

6) 3/9                                                       7)   12/6

  = 0.3                                                           = 2

  5/12                                                            100/28

  = 0.42                                                        = 3.57

3 games of laser tag is better buy        12 gifts is a better buy

8) 20/5                                                      9)   16/3.04

  = 4                                                               = 5.26

  100/20                                                         24/5.04

  = 5                                                               = 4.76

  20 arcade tokens is better buy           24 bottles of water is a better buy

10) 2/3.50                                                      11)   100/2

  = 0.57                                                               = 50

  5/6.75                                                               145/4.35

  = 0.74                                                                = 33.3

  2 pounds box is better buy           145 napkins is a better buy

12) 12/2.88                                                     13)   250/40

  = 4.16                                                               = 6.25

  15/3.30                                                               600/138

  = 4.54                                                                = 4.35

  12-ounce box is better buy             600 GB Hard drive is a better buy

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Answer:

-8

Step-by-step explanation:

f(-3) = 2(-3) -2

f(-3) = -6 -2

f(-3) = -8

Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Assuming the loan exists compounded monthly, the total monthly payment exists estimated from the amortization formula as peruses:

[tex]$A=P(i(1+i)^n)/((1+i)^n-1)[/tex]

Where, A be the monthly payment

P be the amount borrowed = $ 6000

i be the monthly interest = 0.0311/12

n be the number of months = 4 × 12 = 48 months

Calculating the monthly payment:

substitute the values in the above equation, we get

[tex]$\frac{6000\left(\frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}\right)}{(1+0.03)^{48-1}}[/tex]

simplifying the above equation, we get

[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}}{(1+0.03)^{48-1}}$$[/tex]

[tex]$(1+0.03)^{48-1}=1.03^{47}$[/tex]

[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(\frac{0.03}{12}+1\right)^{48}}{1.03^{47}}$[/tex]

Multiplying the above equation,  

[tex]$6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}= 16.90992 \ldots \\[/tex]

[tex]$=& \frac{16.90992 \ldots}{1.03^{47}} \\[/tex]

[tex]$1.03^{47}=4.01189 \ldots \\[/tex]

[tex]$=& \frac{16.90992 \ldots}{4.01189 \ldots}[/tex]

= 4.21494

Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

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The x values of the polynomial expression given as x^2 - 324 = 0 are x = 18 and x = -18

The polynomial expression is given as:

x^2 - 324 = 0

Rewrite as

x^2 + 0 - 324 = 0

Express 0 as 18x - 18x

So, we have:

x^2 + 18x - 18x - 324 = 0

Factorize the polynomial expression

x(x + 18) - 18(x + 18) = 0

Factor out x + 18

(x - 18)(x + 18) = 0

Split the factors

x - 18 = 0 and x + 18 = 0

Solve for x

x = 18 and x = -18

To use a table, we have

x^2 - 324 = 0

Set x = some values and calculate the expression

x      x^2 - 324

3     -315

6      -288

9       -243

18       0

Hence, the values of x are x = 18 and x = -18

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current flowing through the light bulb is 2.2 Amperes

Step by step explanation:

Step 1:

Given the voltage = 60 Volts and power = 174 Watts.

Find the current using the formula , P = V . l

=> l = P/V=60/174= 0.3448275862

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence  -2(x+1)(x-3) is the Greatest Common factor of  -2x^2-4x-6 is

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Option B: 4x²-x+3

(4x³ + 11x² + 0x + 9) + (x+3) [here, we will include 0x to do long division]

Divide 4x³ by x to get first term of the quotient, 4x³

Then, take 4x² and multiply it with 3 and you will get 4x² + 12

Subtract 4x² + 12 from 4x³ + 11x².

Then, you will get the remainder as -x² + 0x

Now you have to repeat the same same process, divide -x² by x to get second term of quotient, -x

Then take -x and multiply with 3 and you will get -x²- 3x

You will get the remainder as 3x+ 9

Divide 3x by x to get the third term of quotient, 3

Then, take 3 and multiply with 3 and you will get 3x + 9

Subtract and you will get the remainder as 0.

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Answer:

Below in bold.

Step-by-step explanation:

f(1) = 10

f(2) = f(2-1) - 1.5 = 10 - 1.5 = 8.5

f(3) = f(2) - 1.5 = 7.

a. This is Arithmetic.

b. The first 5 terms are:10. 8.5. 7, 5.5, 4.

c. The first point on the graph will (1, 10).

It will be a straight line descending to the right.

Answer: 48.1

Step-by-step explanation:

Answer:

21 degrees

Step-by-step explanation:

Let the change in temp. be y.

-14.8 + y = 6.2

y = 21

Therefore, the change in temp. is 25 degrees.

The probability that the average score for the week is between 220 and 228 = 0.7641

Susan's score on bowling follows Normal Distribution.

Average score or mean, μ = 225

Standard Deviation, σ = 13

Number of times Susan bowled, n = 16

Since the scores follows Normal Distribution, the z-score = (x-μ)√n/σ

When the score, x = 220,

z = (220-225)√16/13

  = -20/13

  = -1.538

When the score, x = 228,

z = (228-225)√16/13

  = 12/13

  =0.923

Hence The probability that the average score for the week is between 220 and 228 = P(220 < x < 228)

                      = P(-1.538 < z < 0.923)

                      = P(z < 0.923) - P(z < -1.538)

                      = (0.5 + 0.3212) -( 0.5 - 0.4429) [From the z-tables]

                      = 0.7641

The question is incomplete. Find the complete question below:

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?

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Answer:

p > 37

Step-by-step explanation:

Multiply both sides by 3 so 9 x 3 is 27 so p > 37

Treat it like an equal sign and solve, but if you were to divide by a negative you would need to switch the sign, you don't need to though because you didn't divide by a negative in this one

The equation using slope - intercept from the given point.

(a) y=8x-46

(b) 8x-y=46

what is slope ?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

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Answer:

Answer is y + 5 = -1(x-7)

Step-by-step explanation:

First find the slope, m = y2 - y1 / x2 - x1

so -5 -6 = -11, 7- (-4) = 11

m = -11/11 = -1

then plug into equation y-y1 = m(x-x1) so

Answer: The correct answer is the second one.

Step-by-step explanation:

That is the answer

Through direct proportionality, we calculated that Seven questions will be answered in 10 minutes and 30 seconds.

Seven questions will need to be answered in 10 minutes and 30 seconds.

Direct proportionality: What is it?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In mathematics, a straight line is used to express direct proportionality, and its equation is of the form y = kx , k = y/x, where [k] is the constant.

The assumption is that the time it takes to finish each question and the number of completed questions [y] are inversely proportional to one another.

The time [x] it takes to complete them is directly proportional to the number of questions [y] that are answered. As a result, y = kx, k = y/x, and y is directly proportional to x.

Thus, we can write:

y₁/x₁ = y₂/x₂

Substituting the values,

4/6 = 7/x₂

x₂ = (7 x 6)/4

x₂ = 21/2  

x₂ = 10.5

x₂ = 10 minutes 30 seconds

Therefore, Seven questions will be answered in 10 minutes and 30 seconds.

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Answer:

Step-by-step explanation:

60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake

Answer:

It still has to bake for 1 3/4 hours

Step-by-step explanation:

So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4

ok

P1 = (2, 3)

P2 = (2, 5)

1.- Find the slope

slope = m = (y2 - y1) / (x2 - x1)

-Substitution

m = (5 - 3) / (2 - 2)

m = 2/0

The slope is a horizontal line because does not exist.

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 3 = 0

y = 3 This is the standard form of your question.

Answer:

false

Step-by-step explanation:

because

i dont know how to explain but hope this help you

-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6

as you know,negative number also know the smallest number compared to positive number, but but sometimes negative number can be the big number such as : x > -7 then the answer is -1 because -1 near at 0, imagine you went in deep sea 0 between the sky and the sea, and 6 above the sky, -7 bottom of the sea, if you go down,means that your going bottom of the sea,while if you go up,itll increase cuz youre going up

the further a negative number is from the origin, the smaller the value of the number, the further away the positive number, the greater the value of the number

HOPE THIS HELP E

Answer:

The answer is False.

The equations have no solution. Therefore, the two numbers does not exist.

There are two numbers. One number is twice the other number.

The difference of the smaller number and half the larger number is 20.

The equation that can be use to represent the situation can be represented as follows;

Hence,

let the two numbers be x and y.

2x = y

x - 1 / 2 y = 20

Note the smaller number is x

Therefore, using substitution,

x - 1 / 2 (2x) = 20

x - x  = 20

0 = 20

The value of x and y can't be solved from the equation formed.

Therefore, it has no solution.

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The sum of 26.541 + 14.2 is greater than the integer 40, as the sum is equivalent to 40 + 0.741.

In this problem we need to compare the sum of two real numbers with an integer, also a real number. The two real numbers can be written as the sum of an integer and excess decimal part. Then, the given sum can be rewritten as:

x = 26.541 + 14.2

x = (26 + 0.541) + (14 + 0.2)

This sum must be compared with an integer, 40.

x = (26 + 14) + (0.541 + 0.2)

x = 40 + 0.741

Then, by direct comparison, we see that the sum of 26.541 + 14.2 is greater than 40.

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Answer: The slope of the graph is negative 4.

EXPLANATION:

We are given the absolute value functions below;

Note that for this function, we have a v-shaped graph, since the values of the output is always positive (absolute value) and the vertex is at (0, 0). Also, if the value of a in the function;

is positive, the graph opens upwards, and if the value of a is negative;

then it opens downwards.

Therefore,

ANSWER;