Find the length of the unknown side. Round your answer to the nearest tenth.

An engineer is designing a fuel tank in the shape of a cylinder, the approximate radius of the cylinder is 8.2 inches.

Volume:

V = πr²h

Height:

h = 2r

V = πr²h

V= πr²(2r)

V= 2πr³

And we know that the volume must be 3,500 in³, now we can replace that and solve for R, we will get:

V= πr²h

3500 = 3.14 x 2 x (r)³

r = 8.2 inch

The cylinder's approximate radius must be 8.2 inches.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterised as an infinitely curved surface.

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Answer:

5 – 6 (b + 1) = 5 + ( – 6 ) × b + (– 6) × 1 = 5 – 6b – 6 = – 6b – 1. Example 1: Simplify: 5(a – 4) + 3 = 8.

explanation: your welcome

Step-by-step explanation:

what do you mean ? you need to multiply this out ? or what is the problem ?

just to multiply this :

b(a-6) = ba - 6b

or with full symbols for operations

b×(a-6) = b×a - 6×b

Answer:

Step-by-step explanation:

5 1/6, 5 13/30, 5 68/90

The numerator is 3 and the denominator is 5. IN order to determine the reciprocal 4 becomes the denominator and 5 becomes the numerator. The reciprocal is 5/4.

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Answer:

a = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

a + 8 + 2a + 43 = 180

3a + 51 = 180 ( subtract 51 from both sides )

3a = 129 ( divide both sides by 3 )

a = 43

The graph is forming a function but it is not an one-one function.

If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.

If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.

The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).

However, the graph is not a one-to-one function.

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All of the following terms are interchangeable except e. none of the above

The terms "quantitative analysis," "operations research," and "management science" are interchangeable because they all refer to research activities. All of these terms will have roughly the same meaning. As a result, they are interchangeable.

Operations research, abbreviated as OR, is a discipline concerned with the development and application of analytical methods to improve decision-making. It is regarded as a subfield of mathematical sciences. Management science is sometimes used as a synonym.

In this case, it should be noted that the terms are all synonyms. In conclusion, the correct option is E.

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Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

29

Step-by-step explanation:

6C - B substitute in 6 for C and 7 for B

6(6) - 7

36 - 7

29

The researcher can use certain formulas for finding confidence intervals and hypothesis testing in this scenario.

For confidence intervals, the formula for the mean difference would be used, which is the average of the weight changes in the sample.

This formula calculates the range within which the true population mean difference is likely to fall.

To conduct hypothesis testing, the researcher can use the formula for the t-test for a single sample.

This test compares the mean difference observed in the sample to a hypothesized value and determines whether there is enough evidence to support or reject the hypothesis.

To check the assumptions necessary for this test, the researcher would need additional information. The assumptions typically include:

1. Random sampling: It is important to ensure that the subjects were randomly selected from the population to generalize the results.

2. Normality: The weight changes should follow a normal distribution within the population.

The researcher would need to assess the normality assumption, such as by examining the distribution of weight changes or using statistical tests like the Shapiro-Wilk test.

3. Independence: The weight changes of one subject should not be influenced by the weight changes of another subject.

This assumption can be violated if the subjects are related or if there are repeated measurements on the same subjects.

By checking these assumptions and using the appropriate formulas, the researcher can make confidence intervals and perform hypothesis testing to draw conclusions about the effects of the drug on weight loss in the population.

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Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (8, 2 ) and (x₂, y₂ ) = (10, 2 )

m = \(\frac{2-2}{10-8}\) = \(\frac{0}{2}\) = 0

Answer:

The answer is true

Step-by-step explanation:

Hope this Helps!

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

Answer:

Step-by-step explanation:

the answer is 9

you do the step by step for the equation. you figure out what the formula is.

Step-by-step explanation:

3*85 <= 83+91+x <= 3*90  

255 <= 174+x <= 270  

81 <= x <= 96

Answer:

81 ≤ x ≤ 96

Step-by-step explanation:

85 ≤ (x + 83 + 91)/3 ≤ 90

85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90

81 ≤ x ≤ 96

The range of the given graph will be -1 ≤ y ≤ 6 or  [-1,6].

To determine range of graph , the steps will be-:

For eg: if you had a graph that begins at y = 3 and ascends to a maximum height of y = 10 before decreasing to y = 5, the range of the graph would be [3, 10], or 3 ≤ y ≤ 10.

For given Graph,

Lowest point is at (-1), while Highest point is at (6).

Hence, the range of the graph will be -1 ≤ y ≤ 6 or [-1,6].

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Answer:

8p∧2 ± p - 1 ± 13/p ± 1

Step-by-step explanation:

Divide (9p2 + 8p3 + 12) ÷ (p + 1) and it equals 8p∧2 ± p - 1 ± 13/p ± 1

Answer:

8p^2+p-1 with a remainder of 13

Step-by-step explanation:

p+1 divided by 8p^3+9p^2+0p+12

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+15=x8+12

Step 1: Simplify both sides of the equation.

12x+15=18x+12

Step 2: Subtract 1/8x from both sides.

12x+15−18x=18x+12−18x

38x+15=12

Step 3: Subtract 15 from both sides.

38x+15−15=12−15

38x=−3

Step 4: Multiply both sides by 8/3.

(83)*(38x)=(83)*(−3)

x=−8

Answer:

x=−8

The student used the wrong trig ratio. They should use cosine instead.

\(\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\\)

If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.

Answer:

x = 71.9 degrees

Step-by-step explanation:

cos x= 9÷29

cos x= 0.31

x =cos-1(0.31)

x = 71.9 degrees

Answer:

Step-by-step explanation:

1. the 125g

b. 100ml for 1.79

Answer:

$14.15

Step-by-step explanation:

6+4+.75+.4

Answer:

18698

Step-by-step explanation:

Answer:

The sum would be 18,698

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Answer:

c

Step-by-step explanation:

Answer:

your answer will be B).60cm

Step-by-step explanation:

have a nice day ^_^

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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The population of monkeys will reach 18 in approximately 10.35 years.

This can be calculated by using the exponential growth equation:

Nt = No * e^{rt}

Where Nt is the population size after a given amount of time (t) and No is the initial population size. r is the rate of growth.

Using the given information, we have:

Nt = 2 * e^{r*5} = 9

e^{r*5} = 9/2 = 4.5

ln(4.5) = r*5

r = ln(4.5)/5 = 0.3828

Now, we use the same equation to calculate the time it will take for the population to reach 18 monkeys:

Nt = 18

18 = 2 * e^{r*t}

ln(9) = r*t

t = ln(9)/r = 10.35

Therefore, it will take approximately 10.35 years for the population of monkeys to reach 18.

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Answer:

the graph has a positive slope with a y-intercept of 5

y = 1/4x + 5

Step-by-step explanation:

i found the slope by using points (0,5) and (4,6)

slope formula says to subtract the y-values and divide by difference of x-values:

(6-5) / (4-0) = 1/4