Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

What does rate of change mean?

An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

Surafce area of a prism is equal to

2(Area of base) + (perimeter of base)(height)

2b^2+4bh

[tex]S=2b^2+4bh[/tex]

[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]

It is given that db/dt= -7 and dh/dt -=10.

At a particular instant b= 4km, h=9 km.

Now we will substitute the values in this formula:

[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

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The range of days to have 500 pounds left is 30 - 17.5 days

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8

The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days

but due to accident 125 pounds are not good

Therefore the new pound of bamboo = 900- 125 = 875 pounds

The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds

therefore no of days on 375 pounds = 375/30 = 12.5

Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days

The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days

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Answer:

V=4298.0915\approx 4298.09

V=4298.0915≈4298.09

Step-by-step explanation:

Answer:

4,2

Step-by-step explanation:

Isosceles mean two sides are same

My Question:

Why were there so many people on this question?

Answer:

10 x 12 x 15= 1800

Step-by-step explanation:

multiply:  length x width x height

Answer:

Part E

When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.

(5,4) = (5,-4)

Part I

You would add 6 to the y coordinate and subtract 1 from the x coordinate

Part K

Chanels Sequence

Step-by-step explanation:

Answer:

It is 6.4*10^-2.

this is your answer

Answer:

A) 1017.9

Step-by-step explanation:

the radius is the bottom line which is 9

The height is the line on the inside which is 12

1/3 x 3.14 x [tex]9^{2}[/tex] x 12= 1017.36

but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9

Answer:

YXZ is an acute angled equilateral triangle

x=60°

Answer:

it is undefined

Step-by-step explanation:

Slope of the line x=-24 is undefined. We'll compare the line x = -24, with x = h. So this line is a vertical line that is parallel to the y-axis. We know that the slope of the y-axis is undefined. Since x=-24 and y-axis are parallel, so x=-24 will have the same slope, that is undefined.

Answer:

undefined slope

Step-by-step explanation:

When you have the line x=-24, you have a vertical line, where the x-value is constant, given in the equation, but the y-value varies between negative infinity and positive infinity. If we were to plug two points into the slope formula, we would get: [tex]\frac{y_2-y_1}{-24-(-24)}\to\frac{y_2-y_1}{0}[/tex], because there is no change in x, the x values are the same. Thus it is said that the slope is undefined.

Answer:

c 0.3

Step-by-step explanation:

there is are 50/50 chance when a coin is flipped but according to the data it is 80/20 so if to take 80-50=30 so it is a 0.3  change in probability.

The difference between the theoretical and experimental probabilities of getting heads is 0.3.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

A fair, unbiased coin was flipped 10 times.

The result is shown in the table.

Total number of outcomes = 10

For the experimental probability,

Number of heads = 2

Experimental Probability of getting heads, E = 2/10 = 0.2

For the theoretical probability,

Theoretical Probability of getting heads, T = 1/2 = 0.5

Difference = 0.5 - 0.2 = 0.3

Hence the difference is 0.3.

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Answer: 307

Step-by-step explanation:

89.03/.29

Answer:  0.00325732899

Step-by-step explanation: May God bless you!

Answer:

0.5

Step-by-step explanation:

you have 1/2+1/3 so you take the numerator of the first fraction and multiply it, and do the same for the numerator of the second fraction. you should be left with 2 & 3. you add those two together and there is your answer. if i am wrong please tell me so i can find the mistake.

Answer:

This is easy but ok? 1, 2, 3. Seems to easy...

Step-by-step explanation:

A data point or observation is a set of one or more measurements on a single member of the unit of observation.

The insurance company will pay $192, which is the asset's present value.

The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.

To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.

Therefore,

The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.

When figuring out depreciation, the original value is utilized. It does not use current market value.

Over the course of the asset's useful life, the value is distributed equally.

In this instance

Depreciation per year = Asset value ÷ Years of useful life

Depreciation per year = 288 ÷ 6 = $48

The asset has been used for 2 years

Amount depreciated = 48 × 2 = $96

Present value = Original value - Depreciation

Present value = 288 - 96 = $192

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It's difficult to determine exactly how much interest Timothy will pay over 30 years without more information about the terms of his mortgage. However, we can use the following formula to calculate his monthly mortgage payment, which includes both the principal and the interest:

Monthly payment = P * (r/12) / (1 - (1 + r/12)^(-n))

Where:

P is the principal amount (the total cost of the house minus the down payment)

r is the monthly interest rate (we need to convert the annual interest rate to a monthly rate by dividing it by 12)

n is the number of payments (in this case, the number of months over which Timothy will pay off the mortgage, which is 30 years * 12 months/year = 360 months)

We can plug in the given values to find Timothy's monthly payment:

Monthly payment = $360,000 * (0.04/12) / (1 - (1 + 0.04/12)^(-360)) = $1,375.69

To find the total amount of interest Timothy will pay over 30 years, we would need to know the interest rate on his mortgage and the length of the loan in months. With this information, we could calculate the total amount of interest Timothy will pay by multiplying his monthly payment by the number of payments he makes (360 payments in this case) and subtracting the principal amount ($360,000).

Answer:

11

Step-by-step explanation:

11 times 5 is 55

11 times 8 is 55

Answer: 8x-4

6x+29

Step-by-step explanation:

Answer:

The smaller circle lies completely inside the bigger circle without touching each other at a point of circumference. If this case happens, the sum of the distance between the centres and smaller radius is lesser than the bigger radius, then obviously the smaller circle lies completely inside the circle, without touching the circumference.

Step-by-step explanation:

The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.

In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.

So the percent of change would be:

(1 / 1) * 100 = 100%.

This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.

The volume of the storage shed is 125600 ft³.

The storage shed will be refilled after using 125600 ft³ of salt.

The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.

The volume of the storage shed can be found as follows;

volume of a cylinder = πr²h

where

Therefore,

r = 40 / 2  =20 ft

h = 100 ft

volume of the storage shed = 3.14 × 20² × 100

volume of the storage shed = 3.14 × 400 × 100

volume of the storage shed = 125600 ft³

Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.

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Answer:

Move the image up the y-axis 3

Step-by-step explanation:

+ means up because it's on the y axis

Answer: second 11

first 18

Second 13

Step-by-step explanation:

Answer: The sum of the digits of 99 × n is 27 - 10 = 17.

Step-by-step explanation:

To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.

For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.

Answer:

Yes, the student is correct

Step-by-step explanation:

Given

[tex](0,-10)[/tex]

Required

Does it represent the x intercept

At the x intercept, the value of x is 0.

So, the function [tex](x,y)[/tex] becomes [tex](0,y)[/tex]

[tex](0,-10)[/tex] can be compared to [tex](0,y)[/tex]

Hence, the student is correct

The expression which represents "one half of x" is option B. x ÷ 2.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given variable is x.

One half of x means that the variable is made in to half of the original value.

Half means numerically as 1/2.

So the half of x means the x is multiplied with 1/2.

This is equal to x/2.

This is similar to x ÷ 2.

Hence the correct option is B. x ÷ 2.

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Answer: B strange and harrowing story.

Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.

Answer:

Its 1 because you are moving the digits 1 place to the right

Step-by-step explanation: