Find the volume of each shape, please and I will give you a lot of points

Answer:

x = -150

Step-by-step explanation:

x/15 = -10

Multiply both sides by 15.

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

The probability that the dart hits the bullseye is 0.04

From the question, we have the following parameters that can be used in our computation:

Dart board of diameter 40 cm

Bullseye of diameter 8 cm

The areas of the above shapes are

Dart board = 3.14 * (40/2) * (40/2) = 1256

Bullseye = 3.14 * (8/2) * (8/2) =50.24

The probability is then calculated as

P = Bullseye/Dart board

So, we have

P = 50.24/1256

Evaluate

P = 0.04

Hence, the probability is 0.04

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The correct answer is "confidence interval."

A confidence interval is a statistical tool used to estimate the range of values within which a population parameter is likely to fall based on a sample statistic.

It is a way of expressing the uncertainty associated with estimating a population parameter using a sample.

The interval is typically defined by a lower and upper bound, with a certain level of confidence, usually 95% or 99%, that the population parameter falls within that range.

For example, if a 95% confidence interval for the population mean is (25, 35), we can say that we are 95% confident that the true population mean falls between 25 and 35.

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Given:

The interior angle of a regular polygon is 132 degrees.

To find:

The given statement is possible or not.

Solution:

Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.

Then, the exterior angles are

\(180^\circ-132^\circ=48^\circ\)

We have, n vertices. So, the number of exterior angles is n.

Sum of all exterior angles = 48n degrees

We know that, sum of all exterior angles of a regular polygon is always 360 degrees.

\(48n=360\)

\(n=\dfrac{360}{48}\)

\(n=7.5\)

Number of vertices is always a whole number. So, it cannot be a fraction value.

So, our assumption is wrong.

Therefore, a regular polygon cannot have an interior angle of 132 degrees.

Answer:

105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

V = LWH  

V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

 V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

 it will take 105 minutes to fill 3/4 of the terrarium

Answer: It will take her 1 hour and 45 min

Step-by-step explanation:

To calculate the amount of soil that needs to be imported or exported in a highway construction project, we need to consider the cut and fill areas, as well as the swell and shrinkage percentages.

In this case, the cut cross sections at Stations 34+00 and 35+00 have areas of 520 and 480 square meters, respectively. The swell percentage is 20% and the shrinkage percentage is 15%.

To calculate the soil volume, we need to multiply the area by the corresponding percentage:

For Station 34+00: Cut area = 520 m², Swell percentage = 20%

Soil volume = Cut area * (1 + Swell percentage/100) = 520 m² * (1 + 20/100) = 520 m² * 1.2 = 624 m³

For Station 35+00: Cut area = 480 m², Swell percentage = 20%

Soil volume = Cut area * (1 + Swell percentage/100) = 480 m² * (1 + 20/100) = 480 m² * 1.2 = 576 m³

Since the swell percentage indicates an increase in soil volume, the soil needs to be imported to the project. The amount of soil to be imported is the difference between the calculated soil volumes and the cut areas:

Soil to be imported = Soil volume - Cut area

For Station 34+00: Soil to be imported = 624 m³ - 520 m² = 104 m³

For Station 35+00: Soil to be imported = 576 m³ - 480 m² = 96 m³

Therefore, a total of 104 cubic meters of soil should be imported at Station 34+00, and 96 cubic meters should be imported at Station 35+00 in the highway construction project.

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The number of participants changed at -60 contestants from the second to the fourth round

The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.

When x=2, f(x) = 128

when x = 4, f(x) = 8

Rate of change:

8-128/4-2 = -60

As the tournament draws closer to the final, the number of competitors is decreasing at this fluctuating rate.

The average rate at which the number of participants changed from the second round to the fourth round was -60 contestants per round.

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The width of a confidence interval is determined by several factors, including the size of the standard error, the chosen level of confidence, and the relative size of the sample mean. The population median is not a determining factor in the width of a confidence interval.

The standard error plays a crucial role in determining the width of the confidence interval, as it measures the variability of the sample mean. A larger standard error results in a wider confidence interval, while a smaller standard error leads to a narrower interval.

The chosen level of confidence also impacts the width of the confidence interval. A higher level of confidence, such as 95% or 99%, results in a wider interval because it requires capturing a larger range of possible values for the population parameter. Conversely, a lower level of confidence leads to a narrower interval.

Lastly, the relative size of the sample mean affects the width of the confidence interval, as larger sample sizes generally result in narrower intervals due to increased precision. Smaller sample sizes, on the other hand, yield wider intervals because there is less certainty regarding the true population mean.

In summary, the size of the standard error, the chosen level of confidence, and the relative size of the sample mean are the factors that determine the width of a confidence interval. The population median is not a factor in this determination.

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Answer:

3/4 x 2/5 => NO

2/5 x 5/6 => NO

1/10 x 1/5 => NO

1/2 x 3/5 => YES

Step-by-step explanation:

3/4 x 2/5 = 6/20 => NO

2/5 x 5/6 = 10/30 => NO

1/10 x 1/5 = 1/50 => NO

1/2 x 3/5 = 3/10 -> YES

Answer: 3,9,7,1,3,9,7,1

Step-by-step explanation: In the powers of 3 table, the ones digits form the repeating pattern

Answer:

A = 25 ft²

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Define

x = 5 ft

Step 2: Find Area

Through the unitary method, we get that 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.

Given :

160,000 tons of petrochemicals are required to produce 100,000 tons of plastic.

160,000 tons of petrochemicals produces = 100,000 tons of plastic.

To produce 1 ton of plastic, the required amount of petrochemicals = \(\frac{160,000}{100,000} = \frac{8}{5}\) tons...........equation (1)

Let x be the tons of petrochemicals required to produce 5,000 tons of plastic.

Multiplying 5,000 tons on both sides of the equation, we get :

To produce 5,000 tons of plastic =\(\frac{8}{5}*5000 = 8000\) tons of petrochemicals

Hence, 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.

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Answer:

139

Step-by-step explanation:

Answer:

I put 139 and got it right!

Step-by-step explanation:

hope this helps :)

Answer:80% - 70%

Step-by-step explanation:

If the margin for the error is 5% im guessing that means 5% backwards or forwards so i believe that my answer is correct

ps if im right brainliest please

The percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.

Given, a margin of error of 5%, we can determine the range that reflects the population's true response.

To find the range, we consider the maximum and minimum values within the margin of error.

Maximum Value: 75% + 5% = 80%

Minimum Value: 75% - 5% = 70%

Therefore, the percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.

This means that we can be 95% confident that the actual percentage of people who would buy the product again lies within this range.

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The diagram below shows imaginary numbers on the complex plane. To find F(1 + i) when F(x) = 3x^3 - 2x^2 + x - 3, we need to substitute 1 + i into the expression for x. Therefore, F(1 + i) = 3i - 8.

F(1 + i) = 3(1 + i)^3 - 2(1 + i)^2 + (1 + i) - 3

Let's simplify the expression step by step.

First, let's expand (1 + i)^3:

(1 + i)^3 = (1 + i)(1 + i)(1 + i)

          = (1 + 2i + i^2)(1 + i)

          = (1 + 2i - 1)(1 + i)

          = (2i)(1 + i)

          = 2i + 2i^2

          = 2i - 2   (since i^2 = -1)

Next, let's expand (1 + i)^2:

(1 + i)^2 = (1 + i)(1 + i)

          = 1 + i + i + i^2

          = 1 + 2i + i^2

          = 1 + 2i - 1

          = 2i

Now, let's substitute these values back into the expression for F(1 + i):

F(1 + i) = 3(2i - 2) - 2(2i) + (1 + i) - 3

         = 6i - 6 - 4i + 1 + i - 3

         = 3i - 8

Therefore, F(1 + i) = 3i - 8.

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Answer:

the answers for the quick check:

Step-by-step explanation:

1. d. spiral

2. b stars

3. d. meteors

4. d. as it gets closer to the sun

“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.

"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.

Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.

These meteoroids are remnants from comets or asteroids.

When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.

This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.

This streak is what we commonly refer to as a shooting star or meteor.

Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.

They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.

Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.

When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).

In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.

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NOTE: This not a Question of Mathematics, this is a Question from Physics

Complete Question

Choose the correct answer from the given options:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?

a) Comets

b) Meteors

c) Meteoroids

d) Meteorites

The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False

With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.

The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.

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In order to guarantee that Simpson's rule approximation for the integral of 2e^(2x) dx from 0 to 1 is accurate to within 0.00001, we need to choose 'n' to be 4 or greater.

To determine the value of 'n' required to guarantee that Simpson's rule approximation for the integral of 2e^(2x) dx from 0 to 1 is accurate to within 0.00001, we can use the error formula for Simpson's rule. The error formula for Simpson's rule states that the error, denoted as 'E', is proportional to (b-a)^5 / (180n^4), where 'a' and 'b' are the limits of integration and 'n' is the number of subintervals.

In this case, 'a' is 0 and 'b' is 1. We want the error 'E' to be less than or equal to 0.00001. So we can set up the following inequality:

(b-a)^5 / (180n^4) ≤ 0.00001

Plugging in the values of 'a' and 'b', we have:

(1-0)^5 / (180n^4) ≤ 0.00001

1 / (180n^4) ≤ 0.00001

Now, we can solve for 'n':

180n^4 ≥ 1 / 0.00001

180n^4 ≥ 100000

n^4 ≥ 100000 / 180

n^4 ≥ 555.555...

Taking the fourth root of both sides, we get:

n ≥ (555.555...)^(1/4)

Using a calculator or rounding up, we find:

n ≥ 3.946

Since 'n' must be an integer, the smallest value of 'n' that guarantees the desired accuracy is n = 4.

Therefore, we need to choose 'n' to be 4 or greater to ensure that Simpson's rule approximation for the given integral is accurate to within 0.00001.

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According to the U.S. Census Bureau, in 2010, by the age of 40, approximately 85% of individuals had ever been married.

This statistic is based on data from the American Community Survey, which is conducted by the U.S. Census Bureau. The survey includes questions about marital status and provides information on the percentage of individuals who have ever been married by various ages. The statistic that 85% of individuals had ever been married by the age of 40 suggests that marriage is still a common life experience in the United States. However, it's important to note that this statistic may be influenced by a variety of factors, including changes in societal attitudes towards marriage, cultural and religious practices, and economic factors. Additionally, it's important to consider that this statistic may not be representative of all populations or demographic groups, as marriage rates can vary significantly based on factors such as race, ethnicity, and income.

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Answer:

p = -3

Step-by-step explanation:

Answer:

rotate 180° about origin

The preimage and image of the figure are given below. The transformation rule that is applied is (x, y) → (-x, y).

Given a triangle with vertices A(—3, 2), B(—l, —l), and C(—4, —2), which is preimage. Further, an image is created of this triangle that has vertices at A'(3, 2), B'(l, —l), and C'(4, —2). As shown in the given figure.

Now, as per the image and preimage in the given graph. The image is the reflection of the preimage about the y-axis. This can be verified as when the image and preimage are reflected about the y-axis the vertices change as:

(x, y) → (-x, y)

A(-3, 2) → A'(3,2)

B(-1, -1) → B'(1, -1)

C(-4, -2) → C'(4,-2)

Hence, the transformation rule is (x, y) → (-x, y).

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The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is  D) L = 14√56.

The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.

The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).

First, let's find the derivative of F(t):

F'(t) = <-4, 6, -2>

Next, let's find the magnitude of F'(t):

||F'(t)|| = √((-4)² + 6² + (-2)²)

= √(16 + 36 + 4)

= √56

Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:

L = ∫(√56) dt

= √56 ∫dt

= √56 × t + C

Evaluating the integral over the given interval:

L = √56 × t + C| (-6)⁸

= √56 × (8 - (-6))

= √56 × 14

= 14√56

Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.

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Answer:

16°

Step-by-step explanation:

2x° + 6° = 38°

x° = (38°- 6°)÷2=16°

Answer:

B. y=50x

Step-by-step explanation:

We can see the y intercept is 0 because the line starts at 0.

To find the slope, we can look at the first point. It is at (1, 50).

Slope=rise/run or change in y/change in x=50/1=50.

Answer:

Step-by-step explanation:

2x bigger

Answer:

8

Step-by-step explanation:

The number 80 is called the numerator or dividend, and the number 9 is called the denominator or divisor.

The quotient (integer division) of 80/9 equals 8; the remainder (“left over”) is 8.

80 is the dividend, and 9 is the divisor.

Answer:

The answer is B

Step-by-step explanation:

The probability of reaching into the bag and choosing either a blue or yellow piece of candy is 38/60 or 56%.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: a bag has 10 blue,12 green,8 yellow,11 pink, and 10 orange pieces of candy.

The probability of reaching into the bag and choosing a blue piece of candy is 5/10 or 50%.

The probability of reaching into the bag and choosing a yellow piece of candy is 3/5 or 60%.

Hence, the probability of reaching into the bag and choosing either a blue or yellow piece of candy is 38/60 or 56%.

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