Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars.

c 1 2 3 4 5
f(c)1 4 9 16 25
, , , ,

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer:

x=15/4 or x=3.75

Step-by-step explanation:

4/5*x=3

4/5=0.8

0.8*3.75=3

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

n= -4

Step-by-step explanation:

-20n-28=-13n

-20n=-13n+28

-20n+13n=28

-7n=28

n=-4

Answer:

y > 4x - 2

Step-by-step explanation:

y-intercept is at -2

slope is rise by 4, run by 1

if you don't know where to shade, select a point and plug it in to see if T or F

example (0, 0)

is 0 > 4(0) - 2

is 0 > -2  True, so shade to the left because this is where (0,0) is

Answer:

Step-by-step explanation:

Analyze what each part of the inequality means mathematically.x is the solution of the problem, the quantity you are looking for.6x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 6.− 18 means that, for a reason given in the problem, 18 is subtracted from 6x.≤ 18 means that after multiplying the solution x by 6 and subtracting 18 from it, the result is at most 18.Think of some different situations in which a quantity x might be multiplied by 6.You plant 6 seeds from x different seed packets, and you want to know from how many different seed packets you plants seeds.Build on the situation and adjust it to create a verbal description that takes all of the information of the inequality into account.Elrich planted 6 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 18 plants that were already in the garden. Including the plants he removed and the seeds he planted, he expected to have at most 18 plants in the garden. From how many different seed packets did Elrich recently plant seeds?

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

y=x+11

the slope is 2/2 or 1/1, which equals 1. Your y-int is 11.

Answer:

52

Step-by-step explanation:

First, we want to see how we get from 104 to 156.

Looks like we add 52 to get the next.

104 + 52 = 156

156 + 52 = 208

Logically if we want to go back, we simply subtract 52.

104 - 52 = 52

Answer:

52

Step-by-step explanation:

Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Thus, the surface area of the rectangular prism is found as : S = 275 ¹/₈ cm².

A rectangular prism is one of the more usual shapes for prisms. One definition of a rectangular prism is a prism with rectangle-shaped bases. An other faces also were rectangles because the bases are rectangles. These are a rectangular prism's characteristics:

Given dimensions for the rectangular prism :

Then ,

surface area of the prism S = 2(lw + wh + hl)

Put the values:

S = 2(11.75*5.75 + 5.75*4 + 4*11.75)

S = 2*137.5625

S = 275.125

S = 275 ¹/₈ cm²

Thus, the surface area of the rectangular prism is found as : S = 275 ¹/₈ cm².

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Answer:

He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.

Step-by-step explanation:

1/4=25%=.25

Multiply 5 by .25

5*.25=1.25

Subtract 1.25 from 5

5-1.25=3.75

1.25 gallons for bathroom

3.75 gallons for kitchen

Hopefully this was helpful.

Answer:

wouldnt the value of x be r?

Answer: RRRRight technique Marooni

Step-by-step explanation:

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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To calculate a quantity variance, multiply the standard quantity times the standard price and compare it to the standard quantity allowed times the actual price.

In contrast to range and interquartile range, variance is a measure of dispersion that considers the spread of all data points in a data collection. It is the most commonly used measure of dispersion, along with the standard deviation, which is essentially the square root of the variance. The dispersion between values in a data collection is the most basic definition of variance. Variance is a statistical metric that determines how far one number deviates from the mean and from all other numbers in the collection.

Here,

To compute a quantity variance, multiply the standard amount by the standard price and compare it to the standard quantity permitted multiplied by the real price.

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Answer:

45°

that is the answer have a nice evening

Answer:

OP = 29 feet

Step-by-step explanation:

cos 63 = OP/64

0.4540 = OP/64

OP = 29 feet

Answer:

false

Step-by-step explanation:

Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, \(7^4\) would be 7*7*7*7=2401

so

\(16^1\) would just be sixteen  because any number to the power of 1 is that number

\(8^2\) is 8*8 which gives us 64,

16 does not equal 64, so its

False

Answer:

When you read a sentence, you may first look for the subject or what the sentence is about. The subject usually appears at the beginning of a sentence as a noun or a pronoun. A noun is a word that identifies a person, place, thing, or idea. A pronoun is a word that replaces a noun. Common pronouns are I, he, she, it, you, they, and we. In the following sentences, the subject is underlined once.

Step-by-step explanation:

You will often read a sentence that has more than one noun or pronoun in it. You may encounter a group of words that includes a preposition with a noun or a pronoun. Prepositions connect a noun, pronoun, or verb to another word that describes or modifies that noun, pronoun, or verb. Common prepositions include in, on, under, near, by, with, and about. A group of words that begin with a preposition is called a prepositional phrase. A prepositional phrase begins with a preposition and modifies or describes a word. It cannot act as the subject of a sentence. The following circled phrases are examples of prepositional phrases.

Answer:

this is a rotation. you can tell because point Z is (-5,2) and Z' is (2,5)

Point X was (-5,7) and X' is (7,5) and Point Y was (-2, 2) and Y' is (2,2).

by looking at the picture it was rotated 90 degrees counterclockwise

Step-by-step explanation:

Answer:

7 cm

Step-by-step explanation:

base area = (base length x base height)/2 = (2x6)/2 = 6 cm^2

height = V / base area = 42 / 6 = 7 cm

Answer:

IV

Step-by-step explanation:

Answer:

The Quadrent it would be in would be the bottom right.

Step-by-step explanation:

Go over 6 units on the x axis, then go down 4 (because it is a negative).

The value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd

In the above question, it is given that

Let the length be L and width be W of the given Rectangle

The length of a rectangle is 4yd longer than its width

We can write it in mathematical equation as,

L = 4W  ......eqn 1

Also, it is given that, the perimeter of the rectangle is = 72yd

And, we know that, the perimeter of rectangle = 2(L+ W)

72 = 2(L + W)

Putting value of eqn 1 in the above equation, we will get,

72 = 2( 4W + W)

36 = 5W

W = 7.2 yd

Putting the value of W = 7.2yd in eqn 1 we get,

L = 4( 7.2)

L = 28.8 yd

Hence, the value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd

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Answer: y = -2/5x + 4

Steps:

First find the slope of the equation y=mx+b.

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

Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5

Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.

Next, find your y-intercept (b).

substitute the first set of coordinates into the equation y=mx+b

Substitute: 2 = -2/5 (5) +b

Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be

2 = -2 +b

Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).

This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.

Plug in everything to get y = -2/5x + 4

Answer:

75%

Step-by-step explanation:

If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

It will take Athlete J 60 minutes to run 5miles

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

The formula for calculating the speed of the athlete is expressed as:

Speed = Distance/Time

1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:

2/3 miles = 8 minutes

If the athlete runs for 1 mile, then;

1 mile = x

Divide both expressions

2/3 = 8/x

2x = 24

x = 12 minutes

Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

2) if athlete J run 5 miles, the time taken will be expressed as;

2/3(5) = 8/x

2/15 = 8/x

2x = 120

x = 60minutes

Hence it will take Athlete J 60 minutes to run 5miles

3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:

Speed = (2 3/4)/0.5

Speed = 2.75/0.5

Speed = 5.5miles/hr

For Athlete J;

Speed = 5/1

Speed = 5 miles/hr

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

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