the dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .

Please help me

option third is correct answer

In parallelogram ,opposite sides are equal.

x+3=2x-6

solve the value you will get x=9

The idea about space travel is supported: A. By explaining the risks to human space travelers.

The author of "Humans Should Stay Home and Let Robots Take to the Stars" supports the idea that space travel is more suited to robots by explaining the risks to human space travelers.

By highlighting the dangers and challenges faced by humans in space, the author makes the case that robots are better equipped to handle the harsh conditions and unknown environments of outer space , ensuring safety and success in exploration missions.

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Answer:

A) Events A and B

Step-by-step explanation:

event a : 3

event b : 2,4,6,8

event c : 3, 6

event d : 3, 4, 5, 6, 7, 8, 9

Events A and B are disjoint

The additional time it will take for the liquid's temperature to decrease from 64°F to 32°F is 2 minutes, considering a rate of temperature decrease of 16°F per minute.

To find the additional time it will take for the liquid's temperature to decrease from 64°F to 32°F, we can consider the rate at which the temperature is decreasing.

From the given information, we know that the liquid's temperature decreases from 160°F to 64°F in 6 minutes. This means that the temperature decreases by 160°F - 64°F = 96°F in 6 minutes.

Therefore, the rate of temperature decrease is 96°F / 6 minutes = 16°F per minute.

To find the additional time it will take for the temperature to decrease from 64°F to 32°F, we can calculate the difference in temperature and divide it by the rate of temperature decrease

Temperature difference = 64°F - 32°F = 32°F

Additional time = Temperature difference / Rate of temperature decrease

Additional time = 32°F / 16°F per minute = 2 minutes

Therefore, it will take an additional 2 minutes for the temperature to decrease from 64°F to 32°F.

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x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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Answer:

833.3333333

Step-by-step explanation:

hope this helps

Step-by-step explanation:

\(\qquad\sf\dashrightarrow 20000/24 \)

\(\qquad\sf\dashrightarrow 10000/12 \)

\(\qquad\sf\dashrightarrow 5000/6 \)

\(\qquad\sf\dashrightarrow 2500/3 \)

\(\qquad\sf\dashrightarrow 833.3 \)

Answer:

See my explanation

Step-by-step explanation:

-2x + (x - 4) = 18

-x - 4 = 18

-x = 22          <- this is wrong in question writing as x = 22

so, x = -22

We are given the function f(x) = x(24 − x) and asked to find and simplify the expressions for f(x + h) and f(x+h)-f(x) assuming h approaches 0.

(a) To find f(x + h), we substitute x + h into the function f(x) and simplify the expression:

f(x + h) = (x + h)(24 − (x + h))

= (x + h)(24 − x − h)

= 24x + 24h − x² − hx + 24h − h²

= 24x - x² - h² + 48h.

(b) To find f(x+h)-f(x), we substitute x + h and x into the function f(x) and simplify the expression:

f(x + h) - f(x) = [(x + h)(24 − (x + h))] - [x(24 − x)]

= (24x + 24h − x² − hx) - (24x - x²)

= 24x + 24h - x² - hx - 24x + x²

= 24h - hx.

(c) To find (f(x+h)-f(x))/h, we divide the expression f(x+h)-f(x) by h:

(f(x+h)-f(x))/h = (24h - hx)/h

= 24 - x.

Therefore, the simplified expressions are:

(a) f(x + h) = 24x - x² - h² + 48h,

(b) f(x+h)-f(x) = 24h - hx,

(c) (f(x+h)-f(x))/h = 24 - x.

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Answer:

4.

Step-by-step explanation:

Answer:

Evolution is the changes in organisms over ____millions of years_____

1: a month

2: tens of years

3: thousands of years

4: millions of years

Answer:

Use the distributive property and it will help a lot.

Step-by-step explanation:no solution

Answer:

Zero

Step-by-step explanation:

First you do (3-2) which is one then you multiply that by five which gives you 5. Then you will subtract 5 from each side and that leaves you with 15a=0. Divide both sides and you’ve got zero

The variance of first n even natural numbers is n²-1/12. So, the correct option is (a) .

The first n even natural numbers can be represented as 2, 4, 6, ..., 2n. The mean or expected value of this sequence is given by:

mean = (2 + 4 + 6 + ... + 2n) / n

= 2(1 + 2 + 3 + ... + n) / n

= 2n(n+1)/2n

= n+1

The variance of a sequence is the average of the squared differences from the mean, so we need to calculate:

Var = [(2- (n+1))² + (4- (n+1))² + (6- (n+1))² + ... + (2n- (n+1))²] / n

Simplifying the expression inside the brackets and using the formula for the sum of the first n integers, we get:

Var = [4(1² + 2² + 3² + ... + n²) - 4(n+1)(1 + 2 + 3 + ... + n) + n(n+1)²] / n

Substituting the formula for the sum of the first n squares and the sum of the first n integers, we get:

Var = [4n(n+1)(2n+1)/6 - 4(n+1)n(n+1)/2 + n(n+1)²] / n

Simplifying and factoring out (n+1), we get:

Var = (n+1)(n² - 1) / 3

Thus, the correct option is (a) n²-1/12.

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Answer:

Business: Starbucks Corporation

Resource Market: Coffee farmers

Household: Starbucks customers

Product Market: Starbucks stores

Resource from a resource market that a business used: Coffee beans

Productive resource (labor) that a household supplied to a resource market: Starbucks customers' labor in the form of wages

Expenditure a household made by buying a product: Starbucks customers' expenditure on coffee and other products

Product a household bought from the product market: Coffee and other products from Starbucks stores

Revenue a business made from the product market: Starbucks Corporation's revenue from the sale of coffee and other products

A good or service a business provided to the product market: Starbucks Corporation's provision of coffee and other products to its customers

Circular Flow Diagram:

Households --> Product Market --> Business --> Resource Market --> Households

Answer:

2 x 2 x 2 x 2

Step-by-step explanation: 16 outcomes

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Answer:

29.5735296 cc = 1 oz

Answer: \(\frac{13}{24}\)

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= \(\frac{13}{24}\)

I found the denomenators by multiplying.

Hope this answer helped!

The function f(x) = x^2 with the specified domain and range satisfies the given conditions.

The square function, f(x) = x2, is an illustration of a function, f(x), with a domain of (0,5) and a range of [0,).

Let's examine this function's characteristics:

Domain: The input values (x) can take any value more than 0 and less than or equal to 5, as the function's domain is given as [0,5]. The domain condition is met because the square function is defined for all real values.

Range: The function's [0,] range indicates that the possible output values for f(x) are 0 to positive infinity. Any positive real number squared yields a non-negative value (greater than or equal to 0) every time. The range condition is therefore also satisfied.

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Answer:

5 frozen dinners

Step-by-step explanation:

150x 16 = 2400 mg sodium in 16 cans of soup

Total - 2400 mg = 5200mg - 2400mg = 2800mg sodium in frozen dinners

2800mg / 550mg per dinner = 5.09 frozen dinners

Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer:

Step-by-step explanation: 40

The radius is equal to the length of the given line segment GH, which is 20 units. In this case, r = 20, and θ = 90° = π/2 radians.

Arc GJ is the portion of the circumference of circle H that lies between points G and J. Arc GJ can be calculated using the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = GH = 20 and θ = 90° = π/2 radians. Therefore, l = 20π/2 = 10π. Therefore, the length of arc GJ is 10π units.For example, if the radius of circle H is 10 units, l = 10π/2 = 5π. Thus, the length of arc GJ would be 5π units.To calculate arc GJ, we must first determine the radius of circle H. The radius is equal to the length of the given line segment GH, which is 20 units. We then use the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = 20, and θ = 90° = π/2 radians.

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Answer:

(D)

Step-by-step explanation:

A is true because c*b=cb and c*-a=-ca.

B is true because a*-c=-ac and a*b=ab.

C is true because 4a*4b is 16*ab so 16ab.

D is NOT true because bc*a=bca and bc*3=3bc so bca-3bc is NOT bca-3

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Answer:

  (d)  All of these statements are true.

Step-by-step explanation:

You want to know which statements relating multiplication and division are true.

The multiplicative inverse of (non-zero) 'a' is 1/a. The product of these is 1 (by definition).

1 is the multiplicative identity element, so 1·a = a.

Starting with a·b = c, we can multiply both sides of the equation by 1/a without altering its truthfulness.

  (1/a)(a)(b) = (1/a)(c)

  (a/a)(b) = c/a . . . . . . . for a ≠ 0

  b = c/a

Using the other factor, we have ...

  a = c/b . . . . . . . from (1/b)(a)(b) = (1/b)(c)

We can always substitute equals for each other. Then for c=m, a=n, b=p, the first of these equations is ...

  p = m/n

  m/n = p . . . . symmetric property of equality

Effectively, all of the multiplication and division relations shown are true:

__

Additional comment

In the first two cases, we included the caveat that the divisor could not be zero. This is also true of the last case (m/n=p). However, in this case, we assume that p is defined, which automatically means that n ≠ 0.

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All of the statements provided are true. If two numbers, a and b, have a product of c, then dividing c by a will yield the value of b, as long as a is not equal to zero. All options are true.

In the first statement, if a * b = c and a is not equal to zero, then dividing both sides of the equation by a gives us (a * b) / a = c / a. The term (a * b) / a simplifies to b, so we have b = c / a, which confirms the truth of the statement.

Similarly, in the second statement, if a * b = c and b is not equal to zero, dividing both sides of the equation by b results in (a * b) / b = c / b. The term (a * b) / b simplifies to a, so we have a = c / b, validating the statement.

Finally, in the third statement, if m / n = p, multiplying both sides of the equation by n gives us (m / n) * n = p * n. The term (m / n) * n simplifies to m, so we have m = p * n, confirming the truth of the statement.

In summary, all of the given statements hold true, as they follow logical mathematical operations and principles.

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Step-by-step explanation:

figure for the triangle with ab

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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Answer: 4 squared + 2 squared is the least, 5 squared is in the middle, 6 squared - 6 is the greatest

Step-by-step explanation:

least in total=20

middle in total=25

greatest in total=30

Step-by-step explanation:

Here,

1st expression:

\( {6}^{2} - 6 = 36 - 6 = 30\)

2nd expression:

\( {4}^{2} + {2}^{2} = 16 + 4 = 20\)

3rd expression:

\( {5}^{2} = 25\)

Hence, the order from least to greatest is,

20 < 25 < 30

Also,

\(( {4}^{2} + {2}^{2} ) < {5}^{2} < ( {6}^{2} - 6) \: \: (ans)\)

Usando un sistema de ecuaciones, hay que Roberto tiene $250 y Monica tiene $100.

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables són:

Roberto y Mónica tienen, entre los dos, $ 350, por eso:

x + y = 350 -> y = 350 - x

La media de lo que tiene Roberto más lo de Mónica es $ 225, por eso.

0.5x + y = 225

0.5x + 350 - x = 225

0.5x = 125

x = 250

y = 350 - x = 100

Roberto tiene $250 y Monica tiene $100.

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