X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

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Step-by-step explanation:

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

Step-by-step explanation:

= 30 djdjsbdjdbdbdu djsjsbs

I say that A best represents the equation.

The reason I say this is because the equation (y= x + 15)  can be explained like this.

y= Total amount of candy (in this case since it's based on A)

x= Amount found (normally would be called earned)

15= starting amount (aka initial value)

So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.

All in all A best represents the equation Y= X + 15.

Hope this helps.

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Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

The value obtained after solving the expression will be equal to (-1, 1).

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given in for the mention in the question,

x² = 36

x = ±6

Therefore, the values are -6, and +6.

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Z (-7,-1)

When you rotate about the origin, the x and y just become negative :)

The table is shown below:

x   0     5     8      10    30  

y 150  125  110   100   0

The altitude after 5 minutes is 125 feet and the altitude after 30 minutes is 0 feet

Part A :

To create a table for values when x=0, 5 , 8, 10, 30 substitute the values into the given equation y = -5x + 150

x= 0, y = -5(0) + 150 = 150

x=5, y = -5(5) + 150 = 125

x = 8, y = -5(8) + 150 = 110

x = 10, y = -5(10) + 150 = 100

x = 30, y = -5(30) + 150 = 0

x   0     5     8      10    30  

y 150  125  110   100   0

Part B:

altitude after 5 minutes is 125 feet

altitude after 30 minutes is 0 feet

The altitude after 5 minutes represent the altitude of the plane 5 minutes during descending.

The altitude after 30 minutes represent the altitude of the plane when descending is complete.

What is happening to the airplane at these time intervals is that the plane of the plane is reducing until it finally landed.

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The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Therefore , the solution of the given problem of function comes out to be  f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.

Here,

Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.

The function in this instance is f(x) = (4x² - 36)/(x - 9)

=> 4x² - 36 = 0

To make the equation simpler, we can factor out a 4:

=> 4(x² - 9) = 0

We can factor further based on the difference of squares we now have:

=> 4(x + 3)(x - 3) = 0

We may determine the x-values where the function crosses the x-axis by setting each element to zero:

=> x + 3 = 0 or x - 3 = 0

To find x, solve for:

=> x = -3 or x = 3

The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

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Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

To find the probability that a random sample of 7 has a mean between 564 and 587, we can use the z-score formula to standardize the values 564 and 587, and then use a z-table or a computer program to find the area under the normal curve between those two standardized values.

The z-score formula is:

z = (x - mean) / standard deviation

Where x is the value we are standardizing, mean is the mean of the population, and standard deviation is the standard deviation of the population.

We can use this formula to standardize 564 and 587:

z(564) = (564 - 555) / 72 = 0.97

z(587) = (587 - 555) / 72 = 1.67

We can use a z-table or a computer program to find the area under the normal curve between these two values. The probability that a random sample of 7 has a mean between 564 and 587 is the area under the curve between these two standardized values. This probability is approximately 0.3862, or 38.62%.

Answer:

S-8=9

or, s= 9+8

or, S= 17

Because 8 is in - so to become it's positive sign we should bring it to right hand side

Answer:

Step-by-step explanation:

smallest value=-240

critical number=(4.5,-240)

relative maximum=200

critical number=(-0.5,200)

relative minimum=-240

largest value=200

Answer:

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

Answer:

3

Step-by-step explanation:

you would need to conduct a survey on random people to know what the would like

Answer:

[Not enough information, but I will make a scenario]

If there is a scenario where there is a bag, 4 red marbles and 12 green marbles. The ratio of red to green will be 4:12, or 1:3

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

16n

Step-by-step explanation:

Answer: 1 1/4

Step-by-step explanation:

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Solution

We have the following data:

0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5

And the mean would be:

Mean = 2.958

And the median

Median = 4

Then if we add a 5 then the median would be the same 4

And the mean = 3.04

then the solution is:

The mean would increase

And for the other part of the question

we have:´

4+3+1+2 = 10 people made 3 or less trips to the movie

Answer:

5^6

Step-by-step explanation:

(5^3)^2

We know that a^b^c = a^(b*c)

5^(3*2)

5^6

Answer:

5⁶

Step-by-step explanation:

\(x^{a^{b} } =\) xᵃᵇ

on this case:

\(5^{3^{2} }\) = 5⁽³⁾⁽²⁾ = 5⁶

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

Answer:

23 ft

Step-by-step explanation:

Perimeter = 4 × side

92 = 4 × Side

92/4 = Side

23 = Side

Answer:

1.242

Please let me know if I'm wrong!

Answer:

1.242

Step-by-step explanation:

You just multiply them together

Answer:

D

Step-by-step explanation:

\(\sqrt{20x^{5} y^{2} }\)

Can be written

\(\sqrt{(2)(2)(5)xxxxxyy}\)  Pull out the pairs

2\(x^{2}\)y\(\sqrt{5x}\)

Helping in the name of Jesus.

Since

Therefore;

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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The Solution:

Given:

Required:

To find the lateral surface area of the above rectangular prism in centimeters.

Step 1:

Definition:

Step 2:

So, applying the formula, we get

In this case,

Substituting these values in the formula, we get

Therefore, the correct answer is 36 square centimeters [option 2]

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet