Which expression is equivalent to
(
3
4
7
5
)
3
?

The formula for the surface area of a rectangular prism (the storage box) is given by: A=2(wl+hl+hw). In this instance, w = width, h = height, and l = length.

We will calculate the surface area of the box and lid by first determining the height with the storage box lid included.

The height is now 40 cm (= 30 + 10). The width is still 45 cm. The length is still 60 cm.

You can fill in these values: A = 2(wl+hl+hw) = 2((45 * 60) + (40 * 60) + (40 * 45)) = 13,800.

Answer:

Acute Scalene Triangle

Step-by-step explanation:

This depends on the classification type. Because we are given both the angle measure and information on the sides, I am combining the angle and side classification.

1. In terms of angles, it's acute. All the angles are less than 90, so it makes it acute.

2. In terms of sides, it's scalene because it has no equal sides.

Answer:

8.7%

Step-by-step explanation:

Well the net sales of Quarter 1 = 115 whilst the net sales of Quarter 2 = 125.

So the difference in the 2 numbers is 125-115 = 10

To find percentage change, you do 10/115 = 0.0869565217

Then, 0.0869565217 x 100 = 8.7% change to 1 decimal point.

So your percentage change is 8.7%.

The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times{\sqrt \dfrac{p(1-p)}{n}\\[/tex]

Where   Z is the z-score at the confidence interval

            p is the population proportion

            n is the number of samples.

We have p = 68% = 0.68

n = 115

Z score for 90% confidence interval = 1.64

[tex]\rm MOE = 1.64\times{\sqrt \dfrac{0.68(1-0.68)}{115}\\[/tex]

MOE = 0.071

So the confidence interval will be:

= (0.68-0.071, 0.68+0.071)

= (0.609, 0.751)  or

= (60.9%, 75.1%)

Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

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My calculator said the answer was -6

Answer:

2.99924 in

Step-by-step explanation:

Volume of a cone

V = pi x r^2 x h/3

So to solve this problem you plug in the number we already have which is the volume and the height

103.62 = pi x r^2 x 11/3

28.26 = pi x r^2

28.26/pi = r^2

[tex]\sqrt{\frac{28.26}{\pi } }[/tex] = r ≈ 2.99924

Answer:

For part A it is 670,000 times 0.02 and that equals 13400 so you add it and it is 683,400

Step-by-step explanation:

Part B is 696,800

Part c is they have to be individual and the years are not all connected. Each year is one more increase

Answer:

Here is how to solve these!

if u want me to solve them too, tell me in the comments.

Step-by-step explanation:

So, u start off by putting in ur mind that u want to solve for x (or the variable) and u start working on that by that following:

-Step one: Isolate the variable, u should remove anything that is at the same side of the equal sign along with the variable to the other side, you do that by flipping the operation in front of it (flip + to -, flip x to /, and vice versa too) for example, you have 3x=6, u isolate x by dividing 3 by both sides, removing it from the side of x and taking it to the other side.

-Step two: After moving the numbers to the other side, make the operation u should be doing, example is now that u have x= 6/3 u won’t leave it standing there, so u solve, and the answer would be 2

-Step three: Piece everything together, now that u have a side with only one number and a side with only a variable, you know what x really is, which is x=2 and this is how u find x

-Additional step: if ur teacher told u to check if ur answer is correct, u check by substituting the variable (x) with the answer u got (2) and solve the equation u had in the first place normally, if the two sides are equal, ur answer was correct, if they are not, u have to solve it again with more focus

ur welcome :)

brainliest please?

Answer:

The answer is (x + 10)² + (y – 7)² = (4)².

Step-by-step explanation:

Here, a = (-10), b = 7 and r = 4.

So,

(x – a)² + (y – b)² = r²

[x – (-10)]² + (y – 7)² = (4)²

(x + 10)² + (y – 7)² = (4)²

Thus, The standard equation of the circle with the centre of (-10, 7) and a radius of 4 is

(x + 10)² + (y – 7)² = (4)².

Answer:

The correct option is "an angle measure with an arc length equal to one radius length"

When finding radians, use this formula below.

Degrees × π/180

Answer:

1/4

Step-by-step explanation:

2 to the power of -2 would be 1/4.

This is because 2 to the power of -1 would be 1/2. And the power of 2 would square the 2 as the denominator making it 1/4.

The reason -1 makes the 2 turn into a fraction is that to the power of 2 means 2x2, to the power of one means 2, The power of zero would therefore divide by 2 so 2/2 = 1 and so 2 to the power of -1 would be 1/2.

         [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    What is 2 to the power of -2?

   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

Let's look at the last property of exponents - [tex]\bold{\#7 - negative\:exponents}[/tex]

                                    [tex]\Large\text{$a^{-n}=\displaystyle\frac{1}{a^n}$}[/tex]

So if we have a number with a negative exponent, we flip it over.

According to Property #7,

      [tex]\Large\text{2^{-2}=\displaystyle\frac{1}{2^2} =\frac{1}{4}$}[/tex]

                    [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{60}{1}[/tex]

Answer:

D) 56 inches to 74 inches

Step-by-step explanation:

By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.

Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches

Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches

The system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations:

2x + y = 2  …(1)

y = –2x – 1  or

2x + y = -1 ...(2)

As we can see the coefficient of the x and y in the equation (1) and (2) are same which means they infinitely many solutions.

Thus, the system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.

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Answer:

V=14.12 in³

Step-by-step explanation:

This is a tough one. To find the volume, you'll need the followimg equation:

[tex]\frac{4}{3} \pi {r}^{3}[/tex]

The 3 next to the R is an exponent. An exponent involves multiplying the radius by itself. So it would look like this: 1.5×1.5×1.5

Next, you must multiply the result by 3.14. So it would be 3.375×3.14. And finally, you must multiply that result by 4 and divide by 3. So 10.59×4 to get 42.36 then divide that by 3. 42.36 divided by 3 is 14.2. (Answer can vary from time to time and you may need to round up)

If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.

Using this formula

A=bh+L(S1+S2+S3)

Where:

L=5cm

b=4cm

h=3.5cm

S1=4cm

S2=4cm

S3=4cm

Let plug in the formula

A=4(3.5)+5(4+4+4)

A=14+5(12)

A=14+60

A=74 cm

Therefore the surface area of the prism is 74cm.

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The set of all sets of exactly three integers are finite set, countably infinite set, and Uncountable.

A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.

Let A= [2,3,4] = uncountable

B= [3,4)=uncountable

A ∩ B ={3}= finite

Hence,A ∩ B  is finite set .

Let A= set of positive real numbers that is Uncountable.

B= Set of negative real numbers and positive integers that is  Uncountable

Now, A ∩ B =Set of positive integer numbers  

A ∩ B =countably infinite set.

Let A= set of real numbers that is Uncountable

B= Set of irrational numbers that is Uncountable

Then, A ∩ B = set of irrational numbers is Uncountable.

when A is a set of real numbers and B is a set of irrational numbers.

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Answer:

40

Step-by-step explanation:

The number of sides also represents the number of angles.

Now, to find the measure of one angle we will need to find the sum of angles first and to do that, we use this very simple formula:

(n-2)*180 (n is the count of interior angles)

7*180 = 1260 and to find the measure of one angle we divide the sum with the number of angles:

1260/9 = 140

now, since the sum of an interior angle and an exterior angle is 180:

180-140 = 40 is the size of one exterior angle

There's an easier way too, just divide the sum of exterior angles by the number of angles

360/9 = 40

Answer:

Step-by-step explanation:

X = 14.7 - 1.8

X = 12.9

The area of the walkway itself is π[(y + 4)²- (y - 4)²] the radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4

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

Area of circle = π * radius²

The area of the walkway itself = π(y + 4)² - π(y - 4)² = π[(y + 4)²- (y - 4)²)

The area of the walkway itself is π[(y + 4)²- (y - 4)²] the radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4

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Answer:

-4/15 would be your answer

Step-by-step explanation:

an easier way to recognize this would be to ignore the parenthesis and take the 2 negatives that would then be next to each other, and combine them into a positive, making them -9/15+5/15=-4/15 as your answer.

The congruency statements that are true if triangles JMN and KQR are congruent are:

A. ∠M ≅ ∠Q

E. QK ≅ MJ

F. MN ≅ QR

Two triangles that are congruent to each other will have their corresponding angles and corresponding sides congruent to each other.

Thus, since we assume that △JMN ≅ △KQR, all corresponding angles and sides of both triangles must be congruent.

Therefore, the true congruency statements are:

A. ∠M ≅ ∠Q

E. QK ≅ MJ

F. MN ≅ QR

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Answer:

  0.9%

Step-by-step explanation:

The percentage change is found by multiplying the fractional change by 100%. The fractional change is the change amount divided by the original amount.

__

  change in height = 100/11013 × 100% ≈ 0.0090802 × 100% ≈ 0.9%

Answer:

a. The amplitude should be 2.

   The period should be 2\pi.

b. maximum value occurs in (0,1) at x = 0

    minimum value occurs in (pi,-1) at x = pi

Step-by-step explanation:

Answer:

Approximately 7.81 miles apart.

Step-by-step explanation:

If you were to draw lines between the three points, you would see that it makes a triangle, with leg lengths 6 and 5, like in the attached file.

To find the distance between Hillsboro and Middletown, or the hypotenuse of the triangle, use the Pythagorean Theorem:

6² + 5² = c²

c² = 61

c = √61 = 7.81 miles

Hope this helps!

Answer: No, the volume is eight times as large

Step-by-step explanation:

      We will test this. Let the radius equal 4, then we will double it to 8.

4 * 2 = 8

    With a radius of 4, the volume is about 268 units³. With a radius of 8, the volume is about 2,145 units³.

        2,145 / 268 = 8

The volume is not twice as large, it is eight times as large.

Why is this? In the formula, r is cubed. WIth an example of 2, 2 * 2 * 2 = 8.

Answer:

2461.848 bushels

Step-by-step explanation:

67 tonnes x 36.744 bushels/ 1 tonnes

= 2461.848 bushels

Answer:

10 units.

Step-by-step explanation:

Given:

Formula:

[tex]\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}[/tex]

Substitute the length, width, and the volume of the prism in the formula

[tex]\implies \text{2500 = 25} \times 10 \times \text{Height}[/tex]

Divide 25 × 10 to both sides of the equation to isolate "Height"

[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}[/tex]

[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}[/tex]

Simplify the left hand side of the equation

[tex]\implies \dfrac{{25 \times 10 \times 10}}{25 \times 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 \times 10 \times 10][/tex]

[tex]\implies \dfrac{{10}}{1} = 10 = \text{Height}[/tex]

Therefore, the measure of the height is 10 units.

Answer:

[tex](x - 6)^2 + (y - 7)^2 = 4[/tex]

Step-by-step explanation:

The centerpoint (a,b) is (6,7), the radius r is 2. Both can be read from the graph.

With that you can fill in the standard equation of a circle:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

The pair of triangles that are similar to each other will be given below.

Triangle 1: 55°, 45° and Triangle 2: 55°, 80°.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105°.

If any two angles of triangles are equal then the triangles are known as similar triangles.

The measures of two angles of pairs of triangles are given.

Triangle 1: 55° and 45°, then the third angle will be 80°.

Triangle 2: 55° and 80°, then the third angle will be 45°.

They are similar triangles.

Triangle 1: 105° and 23°, then the third angle will be 52°.

Triangle 2: 52° and 105°, then the third angle will be 23°.

They are similar triangles.

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Answer:

Triangle 1: 55° and 45°, then the third angle will be 80°.

Triangle 2: 55° and 80°, then the third angle will be 45°.

They are similar triangles.

Triangle 1: 105° and 23°, then the third angle will be 52°.

Triangle 2: 52° and 105°, then the third angle will be 23°.

The expression of the solution of the given quadratic equation is gotten as; x = 5 ± 2√3

We want to find the solution to the quadratic equation given as;

x² - 10x + 13 = 0

We will use the quadratic formula to get;

x = [-b ± √b² - 4ac]/2a

x = [-(-10) ± √(-10)² - 4(1 × 13)]/2(1)

x = 5 ± (√48)/2

x = 5 ± (4√3)/2

x = 5 ± 2√3

Thus, the solution is x = 5 ± 2√3

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