I have 28 students in my MAT121 class who recently took a test. Their results are graphed below.
a. What percent received a score less than 60?
b. How many students received a score greater than 85?

Based on the perimeter of the rectangle, and the adjustments to make the plot a square, the sides are 13m and 19m.

The perimeter is:

2(L + W) = 64

L + W = 32

The adjustment to make the plot a square would mean that both sides can be equal:

L + 3 = W - 3

L = W - 6

Substituting in the original formula gives:

L + W = 32

W - 6 + W = 32

2W = 38

W = 19 m

L would be:

L + W = 32

L + 19 = 32

L = 13m

The rest of the question is:

No obstante, para que los terrenos puedan ser cuadrados, se tendría que aumentar el ancho en 3 m y disminuir 3 m de largo. Entonces, ¿cuánto mediría el ancho y el largo del terreno rectangular?

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Step-by-step explanation:

substitute different values of x inorder to get values of y. so since the value of y will have 2 units substracted from the original function leaving us with shifting. but the graph would be parabolic or slightly curved than my graph.

An equation is formed of two equal expressions. Julian should invest $160,000 in CD and $640,000 in Bond.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount invested in CD be represented by x, while the amount invested in bond be represented by y. The total amount that Julian had is,

x + y = 800,000

x = 800,000 - y

The interest that Julian needs in a year is $36,000. Therefore, the total interest should be,

0.025x + 0.05y = 36000

0.025(800,000 - y) + 0.05y = 36000

20,000 - 0.025y + 0.05y =36,000

0.025y = 16,000

y = $640,000

Substitute the value of y

x + y = 800,000

x = $160,000

Hence, Julian should invest $160,000 in CD and $640,000 in Bond.

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Answer:

2 seconds

Step-by-step explanation:

To find the time it takes for the balloon to reach the ground, you need to set the equation equal to 0. This is because the ground technically has a height of 0.

h(t) = -16² + 128t                         <----- Original expression

0 = -16² + 128t                            <----- Plug 0 in for h(t)

16² = 128t                                    <----- Add 16² to both sides

256 = 128t                                  <----- Solve 16²

2 = t                                            <----- Divide both sides by 128

Therefore, if t = 2, it will take the balloon 2 seconds to reach the ground.

==========================================================

Explanation:

The balloon is on the ground when the height is zero.

Replace h with 0 and solve for t.

[tex]h(t) = -16t^2 + 128t\\\\0 = -16t^2 + 128t\\\\-16t^2 + 128t = 0\\\\-16t(t - 8) = 0\\\\-16t = 0 \ \text{ or } \ t-8 = 0\\\\t = 0/(-16) \ \text{ or } \ t = 0+8\\\\t = 0 \ \text{ or } \ t = 8\\\\[/tex]

Ignore t = 0 because this is when the balloon is initially on the ground. In other words, the balloon starts on the ground, so it makes sense that t = 0 leads to h = 0.

The other solution t = 8 is what we're after. The balloon touches the ground again at the 8 second mark. This is the length of time the balloon is in the air.

A quick way to determine and confirm the answer is to use graphing software. Check out the diagram below. We have a parabola with x intercepts of 0 and 8.

The solution to this is 6.62607e-34.

We have the value is raised to the power of -34

We have to solve this using a calculator

This is similar to

[tex]6.62607004081818181818181*\frac{1}{10000000000000000000000000000000000}[/tex]

The number of zeros are 34

We would have  6.62607e-34 as the final solution.

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The end behavior of the function is as:

as [tex]x[/tex]→∞, f(x)→+∞ and as x→-∞, f(x)→+∞

The end behavior of a function will describe the behavior of the graph of the function at the "ends" of the x-axis.

By determining the highest degree of the polynomial function. As the highest degree term will grow faster than the other terms as x gets very large or very small, its behavior will dominate the graph.

The graph of the function is f(x)=2∛x

the function leads to infinity so the end behavior of the function is

as [tex]x[/tex]→∞, f(x)→+∞ and as x→-∞, f(x)→+∞

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The answer is Point B.

Answer:

12

Step-by-step explanation:

LCD of 1/4 and 1/6 is the least common denominator that is divisible by 4 and 6 at the same time and is the least.

So it the same to find least common multiple of 4 and 6 that is 12.

The answer is 12.

An example of contextualization in teaching is when writing skills are taught with reference to topics.

It should be noted that the contextualization of basic skills is the instructional approach that gives connections in teaching.

In this case, an example of contextualization in teaching is when writing skills are taught with reference to topics.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the formula:}[/tex]

[tex]\mathbf{a^2 + b^2 = c^2}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathbf{x^2 + y^2 = c^2}[/tex]

[tex]\mathbf{8^2 + 5^2 = c^2}[/tex]

[tex]\mathbf{8\times 8 + 5 \times 5 = c^2}[/tex]

[tex]\mathbf{64 + 25 = c^2}[/tex]

[tex]\mathbf{89 = c^2}[/tex]

[tex]\huge\textbf{Subtract \boxed{\rm{\bf c^2}} to both sides:}[/tex]

[tex]\mathbf{89 - c^2 = c^2 - c^2}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{-c^2 + 89 = 0}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 89} to both sides:}[/tex]

[tex]\mathbf{-c^2 + 89 - 89 = 0 - 89}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-c^2 = -89}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf{-1}} to both sides:}[/tex]

[tex]\mathbf{\dfrac{-c^2}{-1} = \dfrac{-89}{-1}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-c^2 = -89}[/tex]

[tex]\huge\textbf{Take the square root of the number:}[/tex]

[tex]\mathbf{c = \pm \sqrt{89}}[/tex]

[tex]\huge\textbf{Thus, this possibly means:}[/tex]

[tex]\mathbf{c = \sqrt{89} \ or\ c = -\sqrt{89}}[/tex]

[tex]\huge\textbf{Thus, your answer possibly is:}[/tex]

[tex]\huge\boxed{\mathsf{c = \sqrt{89} \ or\ c = -\sqrt{89}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.

73 + 90 + x = 180

163 + x = 180

x = 17

So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).

17 + x = 180

x = 163

So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.

Therefore, angle r is 163 degrees. The correct answer is option C.

Hope this helps!

Answer:

volume = 15 cm^3

Step-by-step explanation:

Volume of pyramid = 1/3  base area * height

                                = 1/3 ( 3 x 3 ) * 5 = 15 cm^3

Answer:

A. four floors above the ground floor

Step-by-step explanation:

if you start at 0 which is the ground floor and go up 4, that would be +4, since, in theory, going up would be considered positive. So the answer is A.

Answer:

 (3x + 3) (9x + 7) is the duplicate ratio of 3:5 . the value of x is 2.

Answer:  (0, -5) which is choice C

Explanation:

The solution is where the lines cross or intersect. This point is on both lines at the same time to make both equations true.

Answer:

0

Step-by-step explanation:

numerator are the same the difference between same number or variable will be zero

Answer:

[tex]q^2+7q+2[/tex]

Step-by-step explanation:

Check the attachment I added, hope it helps!

Answer:

See below

Step-by-step explanation:

Look at it from the front and the side as shown in the diagram and draw what you would  see:

Answer:

a = -1

Step-by-step explanation:

The slope, m from point   -2,7     to    a,2     has to be   -5

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

-5  = ( 7-2)/(-2 -a)     solve for 'a'......cross multiply

10+ 5a = 5

5a = -5

a = -1

Answer:

25

Step-by-step explanation:

its both numbers squared and added, then square root the result

Answer:

Positive number are located above 0 and negative numbers are located below 0 on a vertical number line

Answer:

On a horizontal number line, positive numbers are down from ANS= 0 to the left of 0✔ to the right of 0X up from 0.On a vertical number line, negative numbers are ✔ ANS=down from 0 to the left of 0to the right of 0up from 0.The number 0 is a negative numbera positive number✔Ans= neither positive nor negative.

Step-by-step explanation:

yw

Hello,

Step-by-step explanation:

[tex]f(x) = ln(x) {}^{4} [/tex]

[tex](ln(u)') = \frac{u'}{u} [/tex]

[tex]f'(x) = \frac{4ln {}^{} (x) {}^{3} }{x} [/tex]

[tex]f'(10) = \frac{4ln {}^{} (10) {}^{3} }{10} = \frac{12ln(x)}{x} [/tex]

[tex]f(10) = ln(10) {}^{4} [/tex]

[tex]y = \frac{12ln(x)}{x} (x - 10) + 4ln(10)[/tex]

[tex]y = f'(a)(x - a) + f(a)[/tex]

Applying the distributive property, we would simplify the expression as: 5f + 16f = (5 + 16)f = 21f.

The distributive property states that, ab + ac = (b + c)a.

Using the distributive property, we have:

5f + 16f

= (5 + 16)f

= 21f

Therefore, 5f + 16f is simplified as 21f.

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Using the scale ratio, the length of the dress is: 6 ft.

Given a scale for the dress pattern as, 2 inches : 1 foot, it means 2 inches of the model equals 1 foot of the actual dress.

Therefore, using the scale ratio, let x represent the length of the dress. We would have:

2/1 = 12/x

x = (12 × 1)/2

x = 6 ft.

The length of the dress is: 6 ft.

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Answer:

As the bag doesnt conatain any purple token;

purple token = 0

number of total tokens in bag = 24

therefore, the probability of choosing a purple token = 0/24

Hope it helps

Answer:

d

Step-by-step explanation:

it's kinda hard to explain

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down  = 0.08 X 0.40 = 0.03

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Answer:

a the assumption is that after the 60% discount, the 20% will contribute to the old price, not the adjusted price

b this is incorrect because the 20% discount will be added on after the 60% discount has been used

c the 500 dollars would turn to 100 dollars

d 40

e it would be best to first apply the 60% coupon first over the 20% coupon

Answer:

2x² - 12x + 13

Step-by-step explanation:

Given following:

Start solving from right to left across the function.

Steps:

Answer:

2x² - 12x + 13

Step-by-step explanation:

Steps:

k[p(x)]

k[x - 3]

2(x - 3)² - 5

2(x² - 6x + 9) - 5

2x² - 12x + 18 - 5

2x² - 12x + 13             pls brainlest

There are 720 ways that the 3 homes could be chosen if the order of visiting is considered. There are 120 ways that the 3 homes could be chosen if the order of visiting is not important.

A permutation is the arrangement or ordering of a finite set of an element.

From the information given:

If there are  10 homes in the desired price range listed in the area:

Then:

So, the number of ways of choosing 3 out of 10 (without replacement) and arranging is:

[tex]\mathbf{^nP_r= \dfrac{n!}{(n-r)!}}[/tex]

[tex]\mathbf{^nP_r= \dfrac{10!}{(10-3)!}}[/tex]

[tex]\mathbf{^nP_r= \dfrac{10\times 9\times 8 \times 7!}{(7)!}}[/tex]

= 720 ways

Now, the number of ways of choosing 3 out of 10 if the order of visiting is not important is the combination of the elements and it can be computed as:

[tex]\mathbf{^nC_r= \dfrac{n!}{(n-r)!r!}}[/tex]

[tex]\mathbf{^{10}C_3= \dfrac{10!}{(10-3)!3!}}[/tex]

[tex]\mathbf{\implies \dfrac{10\times 8\times 9 \times 7!}{(7)! \times 3\times 2}}[/tex]

[tex]\mathbf{\implies \dfrac{10\times 8\times 9}{6}}[/tex]

= 120 ways

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