The table of paired values represents a proportional relationship.

x 1 3 6 7
y 4 y 24 28
What is the missing y-value in the table?

Responses

8
8

12
12

16
16

I don't know.
I don't know.

a.

[tex] {3}^{2} \times {3}^{x} = {3}^{7 \\ } \\ \\ {3}^{2 + x} = {3}^{7} \\ 2 + x = 7 \\ x = 7 - 2 \\ x = 5[/tex]

b.

[tex] {7}^{8} \div {7}^{y} = {7}^{6} \\ {7}^{8 - y} = {7}^{6} \\ 8 - y = 6 \\ y = 8 - 6 \\ y = 2[/tex]

c.

[tex]( {q}^{4} )^{z} = q ^{12} \\ q^{4 \times z} = q^{12} \\4 z = 12 \\ \frac{4z}{4} = \frac{12}{4} \\ z = 3[/tex]

I used the laws of exponents.

The result of the function n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex] when x = -2,0 and 5

n(-2) = 4/3

n(0) = 2/3

n(5)  = -1

The function is n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex]

The function is an equation which expression the relationship between one variable and another variable. If one variable is independent variable then another variable will be dependent variable.

The function is n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex]  when x= -2,0 and 5

Here we have to substitute the value of x in the given function

n(-2) = -1-(1/3)(-2)+5/3

= -1+(2/3)+5/3

= 4/3

n(0) = -1-(1/3)(0)+5/3

= -1+(5/3)

= 2/3

n(5) = -1-(1/3)(5)+5/3

=  -1-(5/3)+(5/3)

= -1

Hence, the result of the function n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex] when x = -2,0 and 5

n(-2) = 4/3

n(0) = 2/3

n(5)  = -1

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Answer:

3

Step-by-step explanation:

m=y2-y1÷x2-x1

4-1÷1-0=3÷1=3

Answer:

x = 22° (alternate angles, M//N)

Answer:|2.5|

Step-by-step explanation:

En este caso el valor absoluto de 0 a |2.5| es 2.5. Esto se debe a que ya sea que cambies la ecuación o no para que sea igual a otro número, la respuesta SIEMPRE será 2.5. ¡Espero que esto haya ayudado! :D

The equation for the given function passing through (0,5) and (4,0) is equal to y = (-5 /4)x +5.

As given in the question,

As shown in the graph drawn we have

( x₁ , y₁ )=(0, 5)

( x₂ , y₂ )=( 4, 0)

Equation for the given function passing through ( x₁ , y₁ ) = (0, 5) and

( x₂ , y₂ )=( 4, 0) is given by :

( y - y₁ )/ (x -x₁ )=( y₂ - y₁ )/( x₂ - x₁ )

⇒( y -5) / (x -0)=( 0 -5)/( 4 -0)

⇒( y - 5) /x=-5/4

⇒y -5=(-5/4)x

⇒y=(-5/4)x + 5

Therefore, the equation for the given function passing through (0,5) and (4,0) is equal to y=(-5 /4)x +5.

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Answer69

Step-by-step explanation:

The range for the given domain D = {2, -3, 0} of the function f(x) = 2x² + 7 is; R = {7, 15, 25}

We are given the function as;

f(x) = 2x² + 7

We are given the domain set as;

D = {2, -3, 0}

Now, the range will simply be gotten by plugging in each domain value into the given function to get the output. Thus;

Range when x = 0 is;

y = 2(0)² + 7

y = 7

Range when x = 2 is;

y = 2(2)² + 7

y = 15

Range when x = -3 is;

y = 2(-3)² + 7

y = 25

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a. Expression for length L in terms of x is  L = 1040 - 2x

b. Expression for the area of the pasture in terms of L and x, A = Lx

c. Expression for the area of the pasture in terms of x only = x (1040 - 2x)

d. The area of the pasture will enclose greater than or equal to 60 square feet

Given data

length of fence = 1040 ft

length if the pasture = L

width of the pasture = x

Expression for length L in terms of x

from the figure we can see that the fenced part is 3 sides which include 2 widths and 1 length. So we represent this with the expression below

L + x + x = 1040

L + 2x = 1040

L = 1040 - 2x

Expression for the area of the pasture in terms of L and x

Area of the pasture,  A = L * x

A = Lx

Expression for the area of the pasture in terms of x only

= L * x

and L = 1040 - 2x

= x (1040 - 2x)

A sentence that makes the area to enclose at least 60 000 square feet.

from A = Lx

we have

A = Lx ≥ 60

The area of the pasture will enclose greater than or equal to 60 square feet

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99th term of the given arithmetic sequence 7, 3, -1, -5, ... is -385.

We are provided with the arithmetic sequence mentioned below;

7, 3, -1, -5, ................. -385

[tex]a_{n}[/tex] =  [tex]a_{1}[/tex] + (n−1)d

where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term and d is the difference between a term and its previous term.

With the help of provided arithmetic sequence we can write;

[tex]a_{n}[/tex] = -385

[tex]a_{1}[/tex] = 7

d = difference between a term and its previous term = 3 - 7 = -4

Put these values in equation 1 , we will get

-385 = 7 + (n-1) (-4)

392 = 4n -4

4n = 396

n = 99

So we can conclude that the 99th term of the arithmetic sequence 7, 3, -1, -5, ... is -385.

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Step-by-step explanation:

as the other answer said, if is the commutative property of multiplication (the same as for addition, as multiplication is just a shortcut form of special additions) :

a × b = b × a

you need a solution ? you mean, you need this multiplication done and simplified, right ?

you know that

a/b × c/d = (a×c)/(b×d)

so,

-33/57 × -7/28 = -33/57 × -7/(4×7) =

= -33/57 × -1/4 = (-33×-1)/(57×4) =

= 33/228

Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

The measurement deviates from the mean by more than 100 standard deviations.

It's a way to gauge how widely apart each data point is from the mean. The standard deviation formula comes in two different forms: Standard deviation for the population When you can measure the entire population or the entire collection of data, you use the population version of the formula. Experts in statistics have determined that measurements that fall within a 2 SD range of the true value are more accurate than those that do not..

based on the facts provided;

the average population, =100

The standard deviation for the population

σ=10

Z score:

Z=X−μσ

X:The measurement.

The number of standard deviations the measurement is from the mean:

We are not given the measurement. So, assuming the measurement is equal to 139.

When

X=139

Z=139−100/10

=3.9

It implies that the measurement of

139 is 3.9

standard deviation above the mean of 100;

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250 word in 5 minutea

Step-by-step explanation:

1. 25×2 (Because 25 is half of a minute so I need to multiplie by two)

2. It gives you 50 u multiplie by 5 because u need to find the answer for 5 minutes

3. 50×5= 250!!

Answer:

250

Step-by-step explanation:

25x2 (wpm) * 5 (minutes) = 250
words per minute means words typed every minute. if ben types 50 words per minute, this means he can type 250 words in 5 minutes.

(sorry for edit, i misread words in half minute as words per minute, credit to lina6561 for making me realize)

Answer:

Step-by-step explanation:

To find the unit rate, we divide the price by the number of items bought.

In this question:

Price: $99

Items: 9 books

Unit rate: $99/9 = $11

The unit rate is of $11 per book.

Answer:

5m+3 =3m

Step-by-step explanation:

−6(t − 8) = 12

-6((6) -8) =12

5m+3=3m

5m-3m=3

2m=3

2(6)≠3

t + 5 = 11

(6) + 5 = 11

9 = 2x − 3

2x = 9+3

2(6) = 12

Answer:

See below

Step-by-step explanation:

If there are no other forces on the body. the NET force is the result of the two forces acting to the left  and total  5 N  Left

Answer:  The correct answer is Net Force = 5, Direction = N

Step-by-step explanation:  Net force in the same direction is cumulative and simply added together, where opposing forces are subtracted. In this case, they are in the same direction or to the left.

Answer:2x^2+3x-2

Step-by-step explanation:

2x-1*x+2=2x^2+3x-2

Answer:

2x+3

Step-by-step explanation:

so first you plug in g(x) in for x in f(x). this is how it will look like

2(x+2)-1

then you distribute the 2 in both terms in the parenthesis.

2(x)+2(2)-1

after that, you multiply them and you will get this

2x+4-1

subtract 4 and 1 and this is your answer

2x+3

Grayce has 0.825 g of diamonds and Morgan has 0.824 g of diamonds. Grayce has more grams of diamonds

From the question, we are to determine the person that has more grams of diamonds

From the given information,

"Grayce has three diamonds that weigh 0.275 g each"

and

"Morgan has two diamonds that weigh 0.412 g each"

Thus,

The total mass of Grayce's diamonds is 3 × 0.275 g

3 × 0.275 g = 0.825 g

Also,

The total mass of Morgan's diamonds is 2 × 0.412 g

2 × 0.412 g = 0.824 g

Since 0.825 is greater than 0.824,

Then,

Grayce has more grams of diamonds.

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Answer: c

Step-by-step explanation:

The solution set for the inequality is p > -9.4. See attachment below for the graph.

An open circle is used when the inequality sign involved is ">" or "<". That is, it is used for numbers that are less than or greater than.

An arrow shaded to the right means the solution set is greater than a given value, while an arrow shaded to the left means the solution set includes all values that are less than a given value.

Given the inequality, p + 3.6 > −5.8, solve for p:

p + 3.6 > −5.8

Subtract 3.6 from both sides

p + 3.6 - 3.6 > -5.8 - 3.6

p > -9.4

Thus, the solution set would be all the values that are greater than -9.4. The graph is shown below.

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Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

FOR THE GIVEN FUNCTION WE WILL HAVE TO CHECK DENOMINATOR PART BECAUSE IT IS THE ONE WITH THE GREATER EFFECT ON MAKING THE FUNCTION UNDEFINED.

THE FUNCTION WILL BE UNDEFINED ONLY IF x=0

THIS BRINGS US TO A CONCLUSION OF SAYING THE DOMAIN IS ALL REAL NUMBERS BUT X IS NOT EQUAL TO 0

Answer: x < 9

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

The dimensions of the region which enclose the maximum area is a side of 162 feet and vertical segment of 108 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the side parallel to the vertical segment and y represent the other side. If the farmer has 648 feet of fencing, hence:

x + x + y + y + x = 648

3x + 2y = 648

y = 324 - 1.5x

Area (A) = xy

A = xy

A = x(324 - 1.5x)

A = 324x - 1.5x²

The maximum area is at A' = 0, hence:

A' = 324 - 3x

324 - 3x = 0

3x = 324

x = 108 feet

y = 324 - 1.5(108) = 162 feet

x = 108 feet, y = 162 feet

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a) fractions; 15.3/3

b) yes, it is a rational number

Total charge for 1,920 squares feet is $160.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression.In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

Given that :City carpet advertises that they can instal 1,200 square feet of carpet in 2 1/2 hours They charge $40 per hour.

City carpet can install 1,200 square feet of carpet in 2.5 hours

In 1 hour they can install [tex]\frac{1200}{2.5} =480 squares feet[/tex]

In 4 hour they can install 1920 squares feet carpet

They charge $40 per hour

So total charges for 1920 square feet will be 4 ×40

= $160

Total charge for 1,920 squares feet is $160.

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The minimum number of sets of knives Kaj should buy if the restaurant needs at least 736 knives is 48. 4 sets of knives

155 + 12x ≥ 736

12x ≥ 736 - 155

12x ≥ 581

x ≥ 581 / 12

x ≥ 48.41666666666666

Approximately,

x ≥ 48. 4 sets of knives

In conclusion, the sets of knives kaj needs to buy more is 48. 4 sets of knives

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Answer:

I think C. Correct me if I am wrong.

Step-by-step explanation:

Hope it helps! =D

Answer: The answer is C.

Step-by-step explanation: Because I use a graphing calculator