Write and solve an equation to answer the question. The perimeter of the school crossing sing is 120 inches. What is the volume of s?

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

5

Step-by-step explanation:

The equation is written in point slope form [ y - y1 = m(x - x1) ] where m = slope. "m" in the given equation is 5 which is the slope.

Best of Luck!

Answer:

y-3=5(x-2)

y-3=5x-10

10-3=5x-y

5x-y=7

slope=-(coefficient of x/coefficient of y)=-(5/-1)=5

Answer:

r ≅ 10.2m

Step-by-step explanation:

Use formula: s = r * θ

s = arc length

r = radius

θ = angle in radians

8 = r * π/4

r = 32/π

r ≅ 10.2m

Answer: 2(n6)

And true states are

The two operations are mulitplication and substraction

The constants are 2 and 6

The expression is written as  2(n-6)

Step-by-step explanation:

Answer:

A,C,D,E should be correct.

A. Replace “a number” with the variable, n.

C. The two operations are multiplication and subtraction.

D. The constants are 2 and 6.

E. The expression is written as 2(n – 6).

hope this helped!

Answer:

Step-by-step explanation:

Answer:

Um that’s the area of a triangle??? I kinda need numbers to solve it

Step-by-step explanation:

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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If the columns of a 7x7 matrix D are linearly independent, we can say tha Equation Dx=b has a solution for each b in R. According to the Invertible Matrix Theorem, a matrix is invertible if the columns of the matrix form a linearly independent set; this would mean that the equation Dx = b has at least one solution for each b in Rn. The correct choice is A.

The correct choice is A: Equation Dx = b has a solution for each b in Rⁿ.

If the columns of a 7x7 matrix D are linearly independent, then by the Invertible Matrix Theorem, the matrix is invertible. This means that there exists a matrix D⁻¹such that DD⁻¹ = I, where I is the 7x7 identity matrix.

Now, consider the equation Dx = b. Since D is invertible, we can multiply both sides by D⁻¹to obtain D⁻¹(Dx) = D⁻¹b, which simplifies to x = D⁻¹b.

This shows that for any given b in Rⁿ, there exists a unique solution x in Rⁿ such that Dx = b. Therefore, the equation Dx = b has a solution for each b in Rⁿ.  The correct choice is A.

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The Alternating Series Test (AST) is used to determine if a series is convergent or divergent. It assumes that the terms alternate in sign and are monotonically decreasing in magnitude, and if lim_(n)a_n = 0, then the series is convergent. The series is given in the general formula for the AST, and the absolute value of each term is equal to the corresponding term.

The series for convergence or divergence using the alternating series test is given below:

[infinity] (−1)n 2nn n! n = 1

The general formula for the alternating series test is as follows. Assume that a series [a_n]_(n=1)^(∞) is defined such that the terms alternate in sign and are monotonically decreasing in magnitude.

If lim_(n→∞)△a_n = 0, where △a_n denotes the nth term of the series,

then the alternating series [a_n]_(n=1)^(∞) is convergent. We must evaluate if the alternating series is monotonically decreasing and if the absolute value of each term of the series is decreasing as well. If both conditions are met, we may apply the Alternating Series Test (AST). Let's take a look at the given series below:(-1)^n(2^n)/(n!) for n = 1 to infinity The series is given in the general formula for the AST. Because the series is already in the right form, we do not need to test it first.

The terms of the sequence decrease since (n+1)!/(n!) = (n+1), which is a positive number. Furthermore, since (n+1) > n for any natural number n, the sequence decreases monotonically. When we take the absolute value of each term in the series, it is equal to the corresponding term since all terms are positive.

Therefore, the series is convergent according to the Alternating Series Test.

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For a randomly selecting one letters from each words, DISCRETE and ALGEBRA, the probability that you choose the same letter is equals to the \( \frac{1}{28}.\).

When we divide the number of events by the possible number of outcomes. It will give the Probability. The value of probability lies between 0 and 1. We have two Words one is DISCRETE and ALGEBRA. One letter is randomly selected from each words. Total numbers of letters in word DISCRETE = 8

Total numbers of letters in word ALGEBRA = 7

We have to determine the probability to choose the same letter. Now, number of same letters in both of the words = 1 ( E)

So, the number of ways to selecting the 'E' letter from DISCRETE word = 2

The number of ways to selecting the 'E' letter from ALGEBRA word = 1

Probability that letter E selected from ALGEBRA word, P( A)\( = \frac{1}{7}\).

Probability that letter E selected from DISCRETE word, P( D) = \( = \frac{2}{8} = \frac{1}{4} \). So, probability that you choose the same letter from both words = P(A) × P(B)

\( = \frac{1}{7} \times \frac{1}{4}\)

\( = \frac{1}{28}\)

Hence, required value is \( \frac{1}{28} \).

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Answer:

Step-by-step explanation:

Answer:

11/3 + 11/2

22/6 + 33/6= 55/6= 9 1/6

so 55/6 should be the answer

0.000181130666

Step-by-step explanation:

Answer:

1) c. 5

2) 1.29

Step-by-step explanation:

1. To calculate the standard deviation, we first need to find the variance. The variance is the average of the squared differences from the mean.

Step 1: Find the differences from the mean:

15 - 21 = -6

21 - 21 = 0

17 - 21 = -4

16 - 21 = -5

26 - 21 = 5

18 - 21 = -3

29 - 21 = 8

Step 2: Square the differences:

(-6)^2 = 36

0^2 = 0

(-4)^2 = 16

(-5)^2 = 25

5^2 = 25

(-3)^2 = 9

8^2 = 64

Step 3: Find the average of the squared differences:

(36 + 0 + 16 + 25 + 25 + 9 + 64) / 7 = 175 / 7 = 25

Step 4: Take the square root of the variance to find the standard deviation:

√25 = 5

Therefore, the standard deviation is 5.

2. To calculate the standard deviation for the set of numbers 2, 3, 4, 4, 5, 6:

Step 1: Find the mean:

(2 + 3 + 4 + 4 + 5 + 6) / 6 = 24 / 6 = 4

Step 2: Find the differences from the mean:

2 - 4 = -2

3 - 4 = -1

4 - 4 = 0

4 - 4 = 0

5 - 4 = 1

6 - 4 = 2

Step 3: Square the differences:

(-2)^2 = 4

(-1)^2 = 1

0^2 = 0

0^2 = 0

1^2 = 1

2^2 = 4

Step 4: Find the average of the squared differences:

(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10 / 6 ≈ 1.67

Step 5: Take the square root of the variance to find the standard deviation:

√1.67 ≈ 1.29

Therefore, the standard deviation is approximately 1.29

Step-by-step explanation:

Compare the longest side to the other 2 shorter sides of the triangle:

10² : 7² + 8²

= 100 : 113

Since 7² + 8² > 10², it is an acute triangle.

Answer:

g(x)=x

4

+3x

3

−x

2

−3x

Step-by-step explanation:

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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The equation ŷ = 45,000 + 2x implies that an increase of $2 in marketing is associated with an increase of $46,000 in sales.


This means that for every extra dollar invested in marketing, $46,000 in sales is expected. This equation shows that the impact of marketing on sales is significant, as the increase in sales is more than forty-five times the investment in marketing. By investing in marketing, businesses can expect a large return in sales. The equation does not imply that an increase of $1 in marketing is associated with an increase of $1,000 in sales, as this would not be a proportionate increase. Similarly, an increase of $2 in marketing does not equate to an increase of $1,000 in sales.

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The real-life distance between the ice rink and the theater is given as follows:

14 km.

The real-life distance between the ice rink and the theater is obtained applying the proportions in the context of the problem.

The scale of 2 cm to 7 km means that each 2 cm drawn on the map represent a real distance of 7 cm.

The distance is of 4 cm on the map, hence the actual distance between the ice rink and the theater is obtained as follows:

4/2 x 7 = 14 km.

The distance is of 4 cm on the map.

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Answer:

8 min

Step-by-step explanation:

Crew C =2

loser L =3

min 1 2C goes

min 1 1C comes

min 4 3L goes

min 1 1C comes

min 1 2C goes

total min 8

Answer:

-10

Step-by-step explanation:

You find the fifth term by going down 3, five times from 5

5

1: 2

2: -1

3: -4

4: -7

5: -10

Answer:

5. 11.25 mi/hr

6. 24 hours

Step-by-step explanation:

5. The return trip at 9 mph took 5 hours.  So the distance is 45 miles.

The total distance traveled is therefore 90 miles, and the total time is 3 + 5 = 8 hours.

The average speed is distance divided by time, or (90 mi) / (8 hr) = 11.25 mi/hr

6. If t is the time it takes driving there, then t−4 is the time it takes to drive back.

Distance = speed × time, so the forward trip is 25t miles, and the return trip is 30(t−4) miles.  These distance are equal, so:

25t = 30(t−4)

25t = 30t − 120

120 = 5t

t = 24

Answer:

60 minute equals to 1 hour

Answer:

To me it looks like you already solved it

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

Base area = πr² = 6²π = 36π in²

Circumference = 2πr = 12π in

Lateral area = 2πrh = 144π in²

Total surface area = 2×36π + 144π

= 216π in²

2.

Base area = πr² = π3.25² = 10.5625π in²

Circumference = 2πr = 6.5π in

Lateral area = 2πrh = 6.5π×6.2 = 40.3π in²

Total surface area = 2×10.5625π + 40.3π = 61.425π in²

Answer:

8.6791453e+41

Step-by-step explanation:

i used calulator

Answer:

i dont know i need coins

Step-by-step explanation:

5 TIMES 8 equals 15

Answer:

(1/x)^4

Step-by-step explanation:

x can’t be 0 because it is impossible divide a number by 0

Answer:

$200

Step-by-step explanation:

30 * 5=150 +50=200

The number of terms required to evaluate the expression π = 48 \(tan^{-1}\)(1/18) + 32 \(tan^{-1}\)(1/57) - 20 \(tan^{-1}\)(1/239) with an error magnitude less than a given threshold cannot be determined without specifying the threshold value. The accuracy of the evaluation depends on the threshold chosen, and the number of terms needed in the Taylor series for \(tan^{-1}\) x will vary accordingly.

The Taylor series expansion for \(tan^{-1}\) x is given by the formula:

\(tan^{-1}\) x = x - (\(x^{3}\))/3 + (\(x^{5}\))/5 - (\(x^{7}\))/7 + ...

To estimate the number of terms needed, we can analyze the size of the remaining terms in the series. We want the magnitude of the error to be less than a specified threshold.

By comparing the terms of the series with decreasing powers of x, we can observe that as x becomes smaller, the terms in the series become smaller as well. Therefore, to ensure the error is within the desired threshold, we need to evaluate the terms until the magnitude of the next term is smaller than the threshold.

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