Nikita's Work

Area of Base = B = 3 bn=(718) = 28 cm?

Volume=Bh= (28)(13) = 364 cm

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake.

Answer:

-13

Step-by-step explanation:

gradient = change in y/change in x

change in y = 6- -7=13

change in x = 1-2 = -1

gradient = 13/-1 = -13

Answer:

To find the slope using the formula, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

- The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Tell me if you want the answer of what the slope is. Although, it would be better for you to work it out yourself!

Hope that helps. x

The integral is divergent because the Comparison Theorem can be used to compare it to a known divergent integral. By comparing the given integral to the integral of 1/x^2, which is known to diverge, we can conclude that the given integral also diverges.


To determine whether the given integral is convergent or divergent, we can use the Comparison Theorem. This theorem states that if f(x) ≤ g(x) for all x ≥ a, where f(x) and g(x) are nonnegative functions, then if the integral of g(x) from a to infinity is convergent, then the integral of f(x) from a to infinity is also convergent.

Conversely, if the integral of g(x) from a to infinity is divergent, then the integral of f(x) from a to infinity is also divergent. In this case, we want to compare the given integral ∫ [infinity]. 0 x (x^3 + 1) dx to a known divergent integral. Let's compare it to the integral of 1/x^2, which is known to diverge.

To compare the two integrals, we need to show that 1/x^2 ≤ x(x^3 + 1) for all x ≥ a. We can simplify this inequality to x^4 + x - 1 ≥ 0. By considering the graph of this function, we can see that it is true for all x ≥ 0. Therefore, we have established that 1/x^2 ≤ x(x^3 + 1) for all x ≥ 0.

Since the integral of 1/x^2 from 0 to infinity is divergent, according to the Comparison Theorem, the given integral ∫ [infinity]. 0 x (x^3 + 1) dx is also divergent.

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Answer:

The answer to your problem is,

Arc de Triomphe:

Step-by-step explanation:

Depends which arc you are talking about I will do the:

Arc de Triomphe

Measurements

164 feet (50 metres)

high and 148 feet (45 metres) wide

It all depends on which arc

Thus the answer to your problem is,

Arc de Triomphe:

Researchers can reduce the risk of measurement error by selecting measures that have high reliability and validity, making conditions comparable in each experimental group, using large sample sizes, and using a strong manipulation.

Researchers can reduce the risk of measurement error by taking several steps:

1. Select measures that have high reliability and validity. This involves using tests or instruments that have been demonstrated to be consistent and accurate in measuring the intended variables. Reliability reflects the consistency of measurements, while validity ensures that the measurements accurately represent the constructs of interest.

2. Make conditions comparable in each experimental group. When conducting experiments, it is crucial to ensure that the experimental and control groups are similar in all aspects except for the variable being manipulated. By controlling for extraneous factors, researchers can minimize the potential influence of confounding variables and reduce measurement error.

3. Use large sample sizes. Working with a larger sample size increases the likelihood of detecting real effects and reduces the impact of random variability. Small sample sizes may not provide sufficient statistical power to detect meaningful effects and can be more susceptible to measurement error.

4. Use a strong manipulation. A strong manipulation of the independent variable increases the chances of detecting an effect. By designing a robust and effective manipulation, researchers can enhance the clarity and strength of the relationship between variables, reducing measurement error.

In summary, researchers can minimize the risk of measurement error by selecting reliable and valid measures, ensuring comparable conditions in experimental groups, using large sample sizes, and employing strong manipulations. These steps contribute to improving the accuracy and precision of research findings.

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Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

Answer:

mud

Step-by-step explanation:

Answer:

3.3

Step-by-step explanation:

it is the right anwer baby

Answer:

x = -22.5

Step-by-step explanation:

Assuming 4x + 90 = 0

4x + 90 = 0

4x = -90

-90/4 = -22.5

Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

The angle of slope of the wire is approximately 12.34 degrees.

Now, To find the angle of slope of the wire, we can use trigonometry.

Let's the height of the taller pole H and the height of the shorter pole h.

We can also call the midpoint of the wire M, where it joins the two poles.

Now, Using the Pythagorean theorem, we can find the distance between the midpoint M and the ground:

d = √(12 - ((H-h)/2))

Now, we can use trigonometry to find the angle of slope of the wire:

tan(θ) = (H - h) / 2d

Substituting the values we have:

tan(θ) = (20 - 15) / (2 * √(12 - ((20-15)/2)))

Simplifying this expression gives us:

tan(θ) = 5 / (2 * √(12 - (2.5)))

tan(θ) = 5 / (2 * √(144 - 6.25))

tan(θ) = 5 / (2 * 11.644)

tan(θ) = 0.214

Taking the arctan of both sides, we get:

θ = arctan(0.214)

θ ≈ 12.34 degrees

Therefore, the angle of slope of the wire is approximately 12.34 degrees.

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Answer: 20.48

Step-by-step explanation: you add 5.12 four time then you get 20.48.

Answer:

5184

Step-by-step explanation:

9 squared is 81 (9 x 9)

8 squared is 64 (8 x 8)

64 x 81 is 5184

The value, written in scientific notation with the correct number of significant digits, is 6.144 x \(10^{1}\) mg

Mass of a paperclip = 8.0 x \(10^{-4}\) mg

Number of paperclips = 7.68 x \(10^{4}\)

Total mass = (8.0 x \(10^{-4}\) mg) x (7.68 x \(10^{4}\)) mg

In order to multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

Total mass = (8.0 x 7.68) x (\(10^{-4}\) x \(10^{4}\)) mg

Total mass = 61.44 x  \(10^{0}\)mg

Total mass = 61.44 mg

The final answer, written in scientific notation with the correct number of significant digits, is: 6.144 x  \(10^{1}\)mg

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The planet closest to the Sun is Mercury.

Among the options provided, the correct answer is c. Mercury. Mercury is the closest planet to the Sun in our solar system. It is located at an average distance of about 57.9 million kilometers (35.98 million miles) from the Sun.

Due to its proximity to the Sun, Mercury experiences extreme temperatures, with surface temperatures ranging from extremely hot during the day to extremely cold at night. It is the smallest planet in our solar system and completes its orbit around the Sun in approximately 88 Earth days. Its proximity to the Sun makes it difficult to observe from Earth, but various space missions have provided valuable insights into its composition and characteristics

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

To find the times when the temperature of the water is 60 degrees or cooler, we need to solve the equation:

0.2x² - 6x + 79 = 60

Subtracting 60 from both sides, we get:

0.2x² - 6x + 19 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 0.2, b = -6, and c = 19.

Plugging in these values, we get:

x = (-(-6) ± sqrt((-6)² - 4(0.2)(19))) / 2(0.2)

x = (6 ± sqrt(16.4)) / 0.4

Simplifying, we get:

x = 9.9 or 3.6

or

x = 32.9 or 26.4

or

x = 39.9

These are the four times when the temperature of the water is 60 degrees or cooler. To find the time the scientist has to conduct her experiment, we need to take the difference between the two smallest times or the two largest times:

30 - 2.9 = 27.1

or

39.9 - 32.9 = 7

Therefore, the scientist has about 7 to 27.1 minutes to conduct her experiment, depending on which two times she chooses to use.

Answer:

$4.67

Step-by-step explanation:

First, add the price with the sales tax:

19(1.07)

= 20.33

To find how much she got back in change, subtract 20.33 from 25

25 - 20.33

= 4.67

So, she got $4.67 in change

The sales tax will be $51.6, bringing the total cost of $860 TV to $911.6.

So, to find the sales tax we need to find out the 6% of $860.

Therefore, the sales tax will be $51.6 and the total price we would pay for an $860 TV will be $911.6.

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Answer:

There are C, no solutions.

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

Answer:

What is the x and y coordinate of (3,4)

The series ∑(n=1 to ∞) 1/5^n converges.

To determine the convergence or divergence of the series ∑(n=1 to ∞) 1/5^n, we can use the geometric series test.

The general form of a geometric series is ∑(n=0 to ∞) ar^n, where a is the first term and r is the common ratio.

In this case, a = 1 and r = 1/5.

For a geometric series to converge, the absolute value of r must be less than 1 (|r| < 1). If |r| ≥ 1, the series will diverge.

In our series, |1/5| = 1/5 < 1, so the series is a geometric series that converges.

Therefore, the series ∑(n=1 to ∞) 1/5^n converges.

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The standard deviation for the given data is c. 0.024 cm.

Let's calculate the standard deviation using the given data:

Diameters: 0.493, 0.534, 0.527, 0.511, 0.565, 0.559, 0.519, 0.562, 0.551, and 0.530.

Find the mean:

Mean = (0.493 + 0.534 + 0.527 + 0.511 + 0.565 + 0.559 + 0.519 + 0.562 + 0.551 + 0.530) / 10

Mean ≈ 0.5411 cm

Calculate the squared differences:

\((0.493 - 0.5411)^2, (0.534 - 0.5411)^2, (0.527 - 0.5411)^2, (0.511 - 0.5411)^2, (0.565 - 0.5411)^2, (0.559 - 0.5411)^2, (0.519 - 0.5411)^2, (0.562 - 0.5411)^2, (0.551 - 0.5411)^2, (0.530 - 0.5411)^2\)

Find the average of the squared differences:

Average = (sum of squared differences) / 10

Take the square root of the average to get the standard deviation.

By calculating the above steps, the standard deviation of the given data set is approximately 0.024 cm.

Therefore, the correct answer is c. 0.024 cm.

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Answer:

1. w=-24

2. g=3

Step-by-step explanation:

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

\( tan y = \frac{x}{y} \)

Solve for y:

\(y = tan^-^1 (\frac{x}{y})\)

\(y = tan^-^1 (\frac{660}{280}) = 67.01\)

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation:

We would need to fill the 6.75 L bucket approximately 4,720 times in order to empty the pool of volume 31,860 liters.

To calculate the number of times a 6.75 L bucket has to be filled in order to empty the pool, we first need to find the volume of water in the pool. We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

In this case, the length is 20.0 ft, the width is 12.5 ft, and the height (or depth) is 4.50 ft. Substituting these values into the formula, we get:

Volume = 20.0 ft x 12.5 ft x 4.50 ft

Volume = 1125 cubic feet

However, we need to convert this volume into liters in order to compare it with the volume of the bucket. To do this, we can use the conversion factor that 1 cubic foot is equal to 28.32 liters. Therefore:

Volume = 1125 cubic feet x 28.32 L/cubic foot

Volume = 31,860 liters

Now we can divide this volume by the volume of one bucket:

Number of buckets = Volume ÷ Bucket volume

Number of buckets = 31,860 L ÷ 6.75 L

Number of buckets = <<31860/6.75=4720>>4,720

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The solution to the problem is a number less than 2.

Answer: eight is greater than four p

Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Step-by-step explanat hope that help

The function is

\(\\ \sf\longmapsto f(x)=\sqrt[3]{x}\)

Graph attached

Answer:

Let's establish that the LCM between the two is 20, so now we need to multiply our numerators by the same numbers used to multiply the denominators.

3(5)/20 - 3(2)/20 = (15-6)/20 = 9/20