anybody know this problem?

The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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The approximations for the values of f at the given points are:

To find the linear approximation of the function f(x,y,z) = x²/(y²z²) at point (3,2,6), we need to compute the partial derivatives of f with respect to x, y, and z at that point:

fx(x,y,z) = 2x/(y²z²), so fx(3,2,6) = 2/(2² * 6²) = 1/54

fy(x,y,z) = -2x²/(\(y^3\)z²), so fy(3,2,6) = -18/64

fz(x,y,z) = -2x²/(y²\(z^3\)), so fz(3,2,6) = -2/\(6^3\) = -1/108

The linear approximation of f at point (3,2,6) is given by:

L(x,y,z) = f(3,2,6) + fx(3,2,6)(x-3) + fy(3,2,6)(y-2) + fz(3,2,6)*(z-6)

L(x,y,z) = 9/144 + (1/54)(x-3) - (18/64)(y-2) - (1/108)*(z-6)

To approximate the value of f at points (3.02, 1.97, 5.99), we can use the linear approximation L:

f(3.02, 2, 6) ≈ L(3.02, 2, 6) = 0.0878

f(1.97, 2, 6) ≈ L(1.97, 2, 6) = 0.0545

f(3, 2, 5.99) ≈ L(3, 2, 5.99) = 0.1387

Therefore, the approximations for the values of f at the given points are:

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Answer:

\(\frac{1}{5x-5}\)

Step-by-step explanation:

=> \(\frac{x-1}{5(x-1)^2}\)

=> \(\frac{x-1}{5(x-1)(x-1)}\)

Cancelling (x-1)

=> \(\frac{1}{5(x-1)}\)

=> \(\frac{1}{5x-5}\)

The simplified form of the expression (x-1)/5(x-1)² is 1/(5x-5).

The given expression is (x-1)/5(x-1)²

To simplify the expression (x-1)/5(x-1)², we can first cancel out the common factor of (x-1) in the numerator and denominator:

(x-1)/(5(x-1)²) = 1/[5(x-1)]

The expression simplifies to 1 divided by 5 times (x-1), which can be written as:

1/(5x-5)

So, the simplified form of (x-1)/[5(x-1)²] is 1/(5x-5).

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sin(π/6) is independent of x, so

\(\displaystyle \lim_{x\to-1} \sin\left(\frac\pi6\right) = \sin\left(\frac\pi6\right) = \boxed{\frac12}\)

Answer:

I got 12581

Step-by-step explanation:

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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By following these steps, you can determine the best plan based on the Daily Phone Usage Data table for your friend, ensuring they have enough minutes, texts, and data while minimizing the monthly cost.

To determine the best plan, you need to analyze the data provided in the table. You can follow these steps:
1. Calculate the average daily phone usage by adding up all the usage data for each category (minutes, texts, and data) and dividing it by the number of days in the table.
2. Determine which plan meets the average daily usage needs for minutes, texts, and data. Make sure to consider any additional costs or benefits that might come with each plan (such as unlimited texting or data rollover).
3. Calculate the total cost of each plan per month by multiplying the daily usage averages by 30 (assuming a 30-day month) and adding any additional fees or charges.
4. Compare the total monthly costs for each plan and choose the one with the lowest cost that still meets your friend's usage needs.

Summary: By following these steps, you can determine the best plan based on the Daily Phone Usage Data table for your friend, ensuring they have enough minutes, texts, and data while minimizing the monthly cost.

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Answer:

There is a maximum of 144 students

Step-by-step explanation:

240÷5×3=144

The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Step-by-step explanation:

x/9 = 9/15

x = 9(9)/15

x= 5.4

The equation that relates the flow of water through a 8-inch pipe to a 6-inch pipe is y = \(6\frac{2}{13} f\).

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the equation, divide the flow of water through a 8-inch pipe by the flow of water through a 6-inch pipe

1600 / 260 = y = \(6\frac{2}{13} f\).

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The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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Using linear approximation, we can approximate \(3.6^3\) as approximately 28.8.

To use linear approximation to approximate \(3.6^3\), we first find the equation of the tangent line to f(x) = \(x^3\) at a = 4.

The slope of the tangent line at a point x = a is given by the derivative f'(a), so in this case:

f'(x) = \(3x^2\)

f'(4) = 48

So the slope of the tangent line at x = 4 is m = f'(4) = 48.

The equation of the tangent line at x = 4 can be written in point-slope form as:

y - f(4) = m(x - 4)

We substitute f(4) = \(4^3\) = 64 and m = 48, and simplify:

y - 64 = 48(x - 4)

y = 48x - 160

This is the equation of the tangent line to f(x) = \(x^3\) at x = 4, in slope-intercept form. To approximate \(3.6^3\) using this tangent line, we plug in x = 3.6:

y ≈ 48(3.6) - 160

y ≈ 28.8

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Answer:

40.192 centimeters

Step-by-step explanation:

The circumference of a circle can be found using:

c= pi* diameter

First, we must find the diameter. The diameter of a circle is twice it’s radius.

d=2*radius

The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.

d=2*6.4

d=12.8

Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.

c=pi*diameter

c=pi*12.8

We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.

c=3.14*12.8

c=40.192

Use appropriate units: centimeters

c=40.192 centimeters

The circumference is 40.192 centimeters.

So the right answer is 40.192 cm

look at the attached picture

hope it will help you

Good luck on your assignment

Answer:

\(1 \dfrac{11}{12} \text{ yd}\)

Step-by-step explanation:

We know that there are 36 inches in 1 yard. Using this information, we can construct the conversion rate:

1 yd : 36 in

To convert 69 in to yards, we simply have to multiply it by the above conversion rate.

\(69 \text{ in} \cdot \dfrac{1 \text{ yd}}{36\text{ in}}\)

↓ multiply the numerators

\(\dfrac{69 \not\text{in} \cdot \text{ yd}}{36 \not \text{in}}\)

↓ cancel inches

\(\dfrac{69}{36}\text{ yd}\)

↓ rewrite as a mixed number

\(1 \dfrac{33}{36} \text{ yd}\)

↓ simplify

\(\boxed{1 \dfrac{11}{12} \text{ yd}}\)

The adjusted coefficient of determination, R2a, cannot be determined without additional information about the model.

To calculate the adjusted coefficient of determination, R2a, we need additional information about the model. The adjusted R2 value takes into account the number of predictors and the sample size to provide a more accurate measure of the model's goodness of fit. Without knowing the specific model, the number of predictors, and the sample size, it is not possible to calculate the adjusted coefficient of determination.

The adjusted R2 formula is given by:

R2a = 1 - [(1 - R2) * (n - 1) / (n - p - 1)]

Here, R2 represents the coefficient of determination, n represents the sample size, and p represents the number of predictors in the model.

Without these values, it is not feasible to determine the adjusted coefficient of determination.

Question:  What is the adjusted coefficient of determination, R2a?

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The 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles is (0.362, 0.438).

Given that 600 consumers were asked whether they would like to purchase a domestic or a foreign automobile. Their responses are given below: Preference Frequency Domestic 240Foreign 360To develop a 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles, we can use the following formula:

Confidence Interval = (p - Zα/2 × √(p(1-p)/n), p + Zα/2 × √(p(1-p)/n))Where: p is the sample proportion, which is given by p = 240/600 = 0.4n is the sample size, which is 600.Zα/2 is the z-score at the (α/2) th percentile of the standard normal distribution, where α is the significance level and α/2 is the area in each tail of the distribution that corresponds to the given level of confidence. Since we want to develop a 95% confidence interval, we have α = 0.05 and α/2 = 0.025. The z-score at the 0.025th percentile of the standard normal distribution is 1.96.

Therefore, the 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles is: Confidence Interval = (0.4 - 1.96 × √(0.4(1-0.4)/600), 0.4 + 1.96 × √(0.4(1-0.4)/600))= (0.362, 0.438)

Therefore, the 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles is (0.362, 0.438).

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Answer:

14

Step-by-step explanation:

so use formula BH/2

so 7x4/2

28/2

area=14

Answer:

14

Step-by-step explanation:

succes

...............

Answer:

5x-12

---------

12

Step-by-step explanation:

not sure if correct but hopefully

Answer:

1427.3

Step-by-step explanation

just did it, got it right, don't listen to the mf above me.

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Answer:

x = 6, y = 45

Step-by-step explanation:

\(scale \: factor = \frac{13}{32.5} \\ = \frac{2}{5} \\ \\ \frac{x}{15} = \frac{18}{y} = \frac{2}{5} \\ \\ \implies \frac{x}{15} = \frac{2}{5} \\ \\ x = \frac{2 \times 15}{5} \\ \\ x = 6 \\ \\ \frac{18}{y} = \frac{2}{5} \\ \\ y = \frac{5 \times 18}{2} \\ \\ y = 45\)

The correct answer of the series is option C.

What is series?

Solving an image series can be a fun and engaging activity that challenges your visual perception and analytical skills. Here are some steps to follow when trying to solve an image series:

Observe the images carefully: Take a close look at each image in the series and identify any patterns, shapes, colors, or other visual elements that may be repeated or changed from one image to the next.

Identify the rule or pattern: Once you have observed the images, try to identify the rule or pattern that governs how the images change from one to the next. This could involve changes in the position, size, orientation, color, or shape of objects in the image.

Apply the rule or pattern: Use the rule or pattern you have identified to predict what the next image in the series will look like. Check your prediction against the actual next image to see if you were correct.

Practice and refine your skills: Solving image series takes practice, so keep working on different image series to improve your skills. You can also try creating your own image series and challenging others to solve them.

Remember, solving image series can be a fun way to exercise your brain and improve your visual perception and analytical skills. Enjoy the process and keep challenging yourself!

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Using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

So, liters of water Jada drinks:

We know that,

The container holds 4/5 liters of water.

Jada drinks 2/3 liters of water.

Now, liters of water Jada drinks is:

4/5 × 2/3

4×2/5×3

8/15

Therefore, using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

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Answer:  Choice B

MN, NO, OM

Refer to the diagram below

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

Explanation:

M = 57 and N = 75 are the two given angles.

Angle O is the missing angle of the triangle.

Recall that for any triangle, the three inside angles always add to 180

M+N+O = 180

57+75+O = 180

132+O = 180

O = 180-132

O = 48

Angle O is 48 degrees.

Note: be sure not to mix up the letter 'oh' with the number zero. Unfortunately, they look very similar.

-------------------------

We know the following three angles of this triangle

As a rule, the smallest side is always opposite the smallest angle. The smallest angle is O = 48, and the side opposite that is MN.

Also, the largest side is always opposite the largest angle. The largest angle is N = 75, and the side opposite that is OM

-------------------------

In short, we found that MN is the smallest side and OM is the longest side.

That must mean side NO is placed in the middle of MN and OM

So that's how we get get the answer of MN, NO, OM which is choice B.

Refer to the diagram below.

Answer: Yes, the highest side would be F