Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box. If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

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Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

The function is defined by:

[tex]y = -\frac{2}{3}x + 7[/tex]

Hence, when x = -12:

[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]

When x = -6:

[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]

When x = 3:

[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]

When x = 15:

[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]

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Answer:

9/5

Step-by-step explanation:

First we have to find the constant k

m = k/(p-1)^2  (p-1)^ goes on the bottom of the fraction because of the inverse.

5 = k/(4-1)^2

5 = k/3^2

5 = k/9  Multiply both side by 9

45 = k  We know can use this constant to solve our problem

m = 45/(6-1)^2

m = 45/5^

m = 45/24

m = 9/5

The minimum value of z is -12.

Given that the system of linear programming

z=-3x+5y

x+y≥-22

x-y≥-4

x-y≤2

Firstly, we will convert the given constraints into equality as

x+y=-22

x-y=-4

x-y=2

Now, we will take the equation x+y=-22 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y is

0+y=-22

y=-22

If y=0 then x=-22

So, the points lie on the line x+y=-22 is (0,-22) and (-22,0).

Further, we will take the equation x-y=-4 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=4

If y=0 then x=-4

So, the points lie on the line x-y=-4 is (0,4) and (-4,0).

Furthermore, we will take the equation x-y=2 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=-2

If y=0 then x=2

So, the points lie on the line x-y=2 is (0,-2) and (2,0).

now, we will find the feasible region of the given constraints as shown in figure.

We will find that each constraint will contain origin or not by substituting (0,0), we get

0+0≥-22 containing origin

0-0≥-4 containing origin

0-0≤2 containing origin

From the graph we can see that the minimum value of x is -13 and minimum value of y is -12.

z=-3x+5y

z=-3x+3y+2y

z=-3(x-y)+2y

minmum value of x-y from the given constraints is

-4≤x-y≤2

From here minimum value of x-y is -4

So, z=-3(-4)+2y

z=12+2y

For the minimum value of z the value of y should be minimum.

From the graph we can see the minimum value of y=-12

So, z=12+2(-12)

z=12-24

z=-12

Hence, the minimum value of z for the system of Linear Programming:

z=-3x + 5y, x+y≥-22, x-y≥-4, x - y ≤ 2 is -12.

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Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

Answer:

21 and a third cups bxisjsbdn

Answer:

23 there will be 100 paperclips leftover

Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]

Answer: UR WELCOME

Step-by-step explanation: ANSWER ON EDMENTUM

Answer:round to nearest hundredth (4,786.3)

Step-by-step explanation:

hope this helps, if wrong im so sorry :(

The volume of wedge is 4/15 by use of Triple integral.

According to the statement

we  have to find the volume of wedge which is bounded by the parabolic cylinder.

So, because of the given shape of z=√y

the plane y=0 is a boundary, in addition to the given x = 0, z = 0.

so we are in the first octant for all of this. and the further constraint is the plane x + y = 1

Triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.

but as a triple integral you would write:

∫x=0 ∫y=0∫z=0 dz dy dx

And after put the values in it and solving it we get the

[−4/15(1−x)^5/2] at x=0

Then after that the answer will become 4/15.

So, The volume of wedge is 4/15 by use of Triple integral.

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Step-by-step explanation:

123456 less then 7

unlimited greater then 7

The numbers from negative infinity to 7, excluding 7."are less than 7 and "all numbers from 7 to positive infinity, excluding 7" are more than 7.

The combination of positive, negative numbers including 0  are called as integers.

The numbers less than 7 are:

This set includes all real numbers that are strictly less than 7.

It can be denoted as (-∞, 7), which means "all numbers from negative infinity to 7, excluding 7."

The numbers greater than 7 are:

This set includes all real numbers that are strictly greater than 7. It can be denoted as (7, +∞), which means "all numbers from 7 to positive infinity, excluding 7."

Thus, there are infinite numbers which are less than 7 and more than 7.

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The computation shows that the value of blue which is represented by x is 12.

From the information given, it was stated that 30 people were in the kindergarten.

Green = 10

Red = 8

Blue (x) = 30 - (10 + 8)

= 30 - 18

= 12

Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.

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Answer:

3/8

Step-by-step explanation:

Let's use a sample number of 100 miles

If 3/8 was traveled the first day, then 37.5m were traveled on the first day.

Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.

37.5/100 = 3.8

The result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means is the t-statistic.

When deciding whether to accept or reject the null hypothesis in a T test, the t-statistic is used. It functions similarly to a Z-score in that you choose a cutoff point, calculate your t score, and then compare the two. When you have a limited sample size or don't know the population standard deviation, you utilize the t-statistic.

On its own, the t-statistic doesn't actually reveal much. Similar to how the word "average" is meaningless on its own without any context.

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The given magic numbers are placed in the appropriate squares, so that the sum in each row, column and diagonal is all equal as shown below.

First of all, we would rewrite all the rational numbers in their lowest forms:

Next, we would write the sum of the numbers in each row as follows:

First row: 16/19 + 9/19 + 2/19 + (-7/-19) = 34/19

Second row: (-6/-19) + (-3/-19) + 12/19 + 2/1 = 34/19

Third row: 11/19 + 14/19 + 5/19 + (-4/-19) = 34/19

Fourth row: 1/19 + (-8/-19) + 15/19 + 10/19 = 34/19

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Answer:

well I don't get the question

Answer:

(or 5/2 or 2 1/2)

Step-by-step explanation:

Remember PEMDAS

10 * (1^2 * 2^-2)

10 * (1 * 0.25)

10 * 0.25 =

2.5

Answer: reflection across x axis and y axis?

Step-by-step explanation: repost question with the possible answers!

Answer: about 260 Lb

Step-by-step explanation:

The perimeter of the polygon that circumscribes the circle is 78 cm

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

The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:

The missing lengths are 8, 6, 9 and 16.

Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm

The perimeter of the polygon that circumscribes the circle is 78 cm

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Answer:

24.4

Step-by-step explanation:

Answer:

{-14,-26}

Step-by-step explanation:

lx+20l=6

So x+20 is either 6 or -6

x=6-20=-14

x=-6-20=-26

The number of chickens she had was 352

From the question, we are to determine the number of chicken she has

Let c represent chicken

and d represent ducks

From the given information,

Mrs. Anderson had twice as many chickens as ducks

c = 2d ---------- (1)

She sold 272 chickens and 16 ducks and then had half as many chickens as ducks

(c-272) = 1/2(d -16) ---------- (2)

Put equation (1) into (2)

2d - 272 = 1/2(d - 16)

2(2d - 272) = d- 16

4d - 544 = d - 16

4d - d = 544 - 16

3d = 528

d = 528/3

d = 176

Substitute the value of d into equation (1)

c = 2d

c = 2(176)

c = 352

Hence, the number of chickens she had was 352

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The average IQ test score would be 100.

What is a normal distribution?

A probability distribution that is symmetric about the mean or average is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the average value occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Average IQ Score

A score of 100 is regarded as the average IQ on various tests. The majority of results (68%) are within one standard deviation of the mean (that is, between 85 and 115). This indicates that the average result is within plus or minus 15 points for almost 70% of test takers.

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Answer: Graph Y

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

It's common to hear people say that the Renaissance and Reformation saw numerous significant developments.

What impact did the Renaissance have on the Reformation?

Why was the Renaissance important?

The Renaissance period cultivated a new change in art, knowledge, and culture.

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