The net of a rectangular prism is shown.
8 in.
2 in.
2 in...-... 8 in......... 2 in.,
6 in.
2 in.:
What is the surface area of the rectangular prism?
O A. 60 square inches
O B. 94 square inches
O c. 96 square inches
OD. 152 square inches
O E. 200 square inches


The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.

Given that angle is - 90°.

For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.

Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.

One positive coterminal angle in the fourth quadrant would be 270°.

This angle is closer to -90° than any other coterminal angle in the fourth quadrant.

One negative coterminal angle in the fourth quadrant would be -450°.

This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.

So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.

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Answer:

a. 7/45

b. 1/15

Step-by-step explanation:

15 total balls

a. Selecting 1 Blue ball and 1 Green ball

3/15 * 7/15 = 21/225 = 7/45

b. Selecting 1 Red ball and 1 blue ball​

5/15 * 3/15 = 15/225 = 1/15

Answer:

Measure of Hypotenuse is 7.8 cm.

Step-by-step explanation:

Since the triangle is a right angle, the formula we would use is [tex]a^2 + b^2 = c^2[/tex].

We are looking for the hypotenuse that would be c.

[tex]a^2 + b^2 = c^2[/tex]

[tex]5^2 + 6^2 = c^2[/tex]

[tex]25 + 36 = c^2[/tex]

[tex]61 = c^2[/tex]

[tex]\sqrt{61} = \sqrt{c^2}[/tex]

7.8102 = c

c = 7.8 cm

Answer:

domain = - 2, 1, 0, 1, 4, - 1

range = - 4, 3, 0, 4, 6, - 2

Step-by-step explanation:

x is domain

y is range

The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over the x-axis, (x, -y).

Given, A function f(x) = x².

Now, p(x) = f(x + 3).

p(x) = (x + 3)² and it is a transformed function to the parent function f(x).

Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.

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Answer:

therefore f(x)=100x-5-1 has an x-intercept

Explanation:

Multiply each coordinate, of each point, by the scale factor -1/3. That means for instance x = 3 becomes x = -1, when going from P to P'. Doing this will shrink the image, and there's also a reflection going on due to the negative scale factor.

Answer:

sqrt(3)

Step-by-step explanation:

Each side (donated by small letter ) is opposite to its angle for example :

Side c is opposite to angle C which is 90

side b is opposite to angle B which is 60

On solving the provided question we cans ay that -  equation of ellipse is given by (x2/a2) + (y2/b2) = 1.

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

distance of the focus from the centre of the ellipse is given by the equation c = √(a2 – b2).

equation of ellipse is given by (x2/a2) + (y2/b2) = 1.

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Answer:

True

Step-by-step explanation:

6 * 4/6 = 24 /6 = 24 * 1/6 = 4

This is  a true statement

Answer:

it's B

[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]

Answer:

C

Step-by-step explanation:

please refer to the sketch

Answer:

S = pi^2 * (8^2 - 10^2)

= pi^2 * (-4)

= -12.57 pi^2

The value of S is approximately -12.57 * pi^2. To express this value to three significant figures, we would round it to -13 * pi^2, which is the same as -12.6 * pi^2. So the final answer is -12.6 * pi^2.

Answer: Not possible

Step-by-step explanation: A whole number is an integer or a number without fractions. Both 15% and 40% are less than 1 since they are less than 100%; therefore, it is impossible to express them as whole numbers. They can only be expressed as the mixed numbers of 0.15 and 0.4, or 15/100 and 40/100.

Answer:

23 I thinkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

ehhhhh

Answer:

46

Step-by-step explanation:

Since we are finding multiples of 2, but avoiding multiples of 4, we need to skip 4 from every 2 digit multiple starting from 10 (10, 14, 18, 22, so on...). BUT. I'm not finished yet. The answer is NOT 23. Why? Well, you forgot about the negative 2-digit multiples.

Do the same (Skip NEGATIVE 4 from every 2 digit multiple, but starting from -10, -10, -14, so on...)

Doing this, I found:

46 multiples of 2, but not 4

Multiples:

10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, -98, -94, -90, -86, -82, -78, -74, -70, -66, -62, -58, -54, -50, -46, -42, -38, -34, -30, -26, -22, -18, -14, -10

Answer:4.8

Step-by-step explanation:

30/3 x 1.6

Answer:

Nope

Step-by-step explanation:

Standard form for a linear equation in two variables is [tex]Ax+By=C[/tex] with the terms containing  x  and  y  on the left side of the equation and a number on the right side.

[tex]x+3=-5y[/tex]

Subtract 3 from both sides.

[tex]x=-5y-3[/tex]

Add 5y.

[tex]x+5y=-3[/tex]

Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.

The cost of shipping through two different companies will depend on a variety of factors.

These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.

Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).

To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.

Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.

It is important to note that companies may offer discounts or other incentives for shipping with them.

Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.  

Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.

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Answer:

The correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever test has the higher z-score should be taken.

SAT scores are normally distributed and in the state of Ohio in 2017, the mean was 1149 with a standard deviation of 212. To get accepted into Yale, you need an SAT of 1460.

This means that [tex]X = 1460, \mu = 1149, \sigma = 212[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1460 - 1149}{212}[/tex]

[tex]Z = 1.47[/tex]

Z-score for the ACT:

We don't have the mean.

But the correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.

Answer: The question is asking for the number of households that have between 3.67 and 4.35 people, which corresponds to the number of households whose number of people per household falls within one standard deviation of the mean.

A normal distribution is symmetric, so approximately 68% of the data falls within one standard deviation of the mean. So, we can estimate that approximately 68% of the 1,500 households have between 3.67 and 4.35 people.

The calculation is:

1,500 households x 68% = 1,020 households

So, approximately 1,020 households have between 3.67 and 4.35 people.

This is a rough estimate and the actual number may be slightly different, but it can be considered as a good approximation. From the given options, The answer closest to 1,020 is 945 households.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):

[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]

Hence, the side that contains (0,0) gets shaded. See the graph below.

Lateral Area of a Cylinder=2πrh

= 2 x π x 7 x 24

=336π

Option D

Answer:a) 10. have +05 x 2 P= 0.025 p(x - 2) (B) - (-2)-2 (5) 5-2 (0 •025) ( 1 - 0 025) 3 0 • 00 57 9287 n - 2 . x - -6 m-6 b) we have p= 0 45 p(x = 6) = (P)...

Step-by-step explanation:

Answer:

volume of a cube=5³cm³

=125 cm³

volume of the cuboid=20×10×5

=1000 cm³

number of cubes=1000/125

=8 cubes

Answer:

7/

Step-by-step explanation:

3/4 * 7/

3 can be crossed

Leaving 7/

Answer:

Step-by-step explanation:

125,000 x 16% = $20,000

(23%) 28,750 + (8%) 10,000 + (9%) 11,250 + (12%) 15,000 + (16%) 20,000 + (19%) 23,750 + (13%) 16,250 = $125,000

Answer:

15000

Step-by-step explanation:

15/100×100000

=$15000

You can download[tex]^{}[/tex] the answer here

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Answer:  [tex]g(x) = \frac{1}{x-6} - 4[/tex]

This can be written out as g(x) = 1/(x-6) - 4

The "x-6" is in the denominator, while the "-4" is not.

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Explanation:

We'll start with the parent function [tex]f(x) = \frac{1}{x}[/tex]

When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).

So we have [tex]h(x) = f(x) - 4 = \frac{1}{x} - 4[/tex] as an intermediate step.

Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".

Therefore, we end up with [tex]g(x) = \frac{1}{x-6} - 4[/tex]

Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.