What’s the answer to this?

Answer:

The answer is 31 hope this helps

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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The probability that the mean score of 20 randomly selected men is at least 513.2 is approximately 0.217.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we need to use the central limit theorem.

Assuming that the scores of men are normally distributed with a mean of μ and a standard deviation of σ, the sample mean of a random sample of size n (in this case, n=20) will be normally distributed with a mean of μ and a standard deviation of σ/sqrt(n).

Let X be the score of a randomly selected man. We know that μ = 510 and σ = 20. Therefore, the sample mean of 20 randomly selected men will be normally distributed with a mean of 510 and a standard deviation of 20/sqrt(20) = 4.47.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we can standardize the distribution of the sample mean using the z-score formula:

z = (x - μ) / (σ / sqrt(n))

where x is the value we want to find the probability for, μ and σ are the mean and standard deviation of the population, and n is the sample size.

Substituting the given values, we get:

z = (513.2 - 510) / (4.47)

z ≈ 0.784

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than or equal to 0.784:

P(Z ≥ 0.784) ≈ 0.217

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Answer:

Y= 3X-7

Step-by-step explanation:

the equation of the line has the formular

Y-Y1= M (X-X1)

here, M= slope= 3

X1=2 Y1= -1

Y--1= 3(X-2)

Y+1= 3X-6

Y= 3X-6-1

Y= 3X-7

Answer:

y=3x-7

Step-by-step explanation:

1. Use The Slope Formula

 y=mx+b

m=slope

b=y-intercept

2. Fill in the given values

y=3x+b

3. Use the given points to solve for b

-1=3*2+b

-1=6+b

-7=b

4. Final equation

y=3x-7

An example of the minimal tie sets of a reliable network starting from its minimal cut sets and the connection matrix or scheme is not present is based on considering tie Sets : AC, BD - 2ⁿᵈ order and AED, BEC – 3ʳᵈ order.

Tie Set is defined as a minimal path of the system that is input to output path without traversing a node twice . If any component in tie set fails then it become reason of failure of tie set because tie set components in series. For the system to fail, all tie sets must fail - tie sets in parallel. Tie Sets : AC, BD - 2ⁿᵈ order

AED, BEC – 3ʳᵈ order

RS = P(T₁ ∪ T₂ ∪ T₃ ∪ T₄) = P(T₁) + P(T₂) + P(T₃) + P(T₄) - P(T₁∩ T₂) - P(T₁ ∩ T₃) - P(T₁ ∩ T₄) - P(T₂ ∩ T₃) - P(T₂ ∩ T₄) - P(T₃ ∩ T₄) + P(T₁ ∩ T₂ ∩ T₃) + P(T₁ ∩ T₂ ∩ T₄) + P(T₁ ∩ T₃ ∩ T₄) + P(T₂∩ T₃ ∩ T₄) - P(T₁ ∩ T₂ ∩ T₃ ∩ T₄)

To obtain the reliability network of the system. First Label the nodes (order of matrix = no. of nodes), then show the direction of flow means uni-directional or bi-directional. Connection can be

Now, multiply the matrix by itself continuously, until the resulting matrix remains unchanged.

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The approximate value of the home in the year 2025 would be $594,000.

Initial value in 2017: $450,000

Annual increase rate: 4%

Number of years from 2017 to 2025: 2025 - 2017 = 8 years

Now, let's calculate the accumulated increase:

Increase in 2018: $450,000 * 0.04 = $18,000

Increase in 2019: $450,000 * 0.04 = $18,000

Increase in 2020: $450,000 * 0.04 = $18,000

Increase in 2021: $450,000 * 0.04 = $18,000

Increase in 2022: $450,000 * 0.04 = $18,000

Increase in 2023: $450,000 * 0.04 = $18,000

Increase in 2024: $450,000 * 0.04 = $18,000

Increase in 2025: $450,000 * 0.04 = $18,000

Total accumulated increase: $18,000 * 8 = $144,000

Final value in 2025: $450,000 + $144,000 = $594,000

Therefore, the approximate value of the home in the year 2025 would be $594,000.

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Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

1st one

Step-by-step explanation:

it is just rearranged
Remember that when there is no sign in front of the first one, there is an invisible plus/positive sign

some cause there are usually two in a expressions

Step-by-step explanation:

left to right.

the smallest numbers are on the left, the largest in the right.

all the numbers in the line are sorted.

so, going from left to right the numbers get continuously larger (no exception), and when going from right to left, they get continuously smaller.

remember that the negative numbers are smaller than the positive numbers. so, the negative numbers (if there are any in your case) are on the left side.

and negative numbers get smaller by "seemingly increasing" : -1 is larger than -2 and so on.

so, the range of the negative numbers starts on the left side with the "largest" negative number (but when you think about it, it IS the smallest number) and their absolute value gets smaller until they reach 0, and then the positive numbers start from small to large.

this also asked to fractions and mixed fraction numbers :

e.g. -2 1/2 is smaller than -2 and larger than -3.

because it is -2 + -1/2 = -2 - 1/2 = -2 1/2.

in that sense it is the same principle as with positive numbers :

2 1/2 = 2 + 1/2

-2 1/2 = -2 - 1/2

Answer:

G is 7.3 and H is .72

Step-by-step explanation:

Answer:

G.= 0.725      H.= 0.072

Step-by-step explanation:

Hope that helps!

Answer:

Area = 34 cm squared

Step-by-step explanation:

First,

Top = 5

Bottom = 5

Left side = 2

Right side = 2

Front = 10

Bottom = 10

Total = 34

Hope this helps!

Answer:

B

Step-by-step explanation:

Therefore, the value of δx for this problem is 2.

To find the value of δx, we first need to understand what l4 means in the context of this function.
l4 refers to the fourth subinterval of the interval [2,10]. To find the value of l4, we need to divide the interval [2,10] into smaller subintervals.
Let's first find the total number of subintervals. We can do this by subtracting the lower limit from the upper limit and dividing by the desired length of each subinterval:
Total number of subintervals = (10 - 2) / δx
We want to find the fourth subinterval, so we need to determine the value of δx that gives us four subintervals.
(10 - 2) / δx = 4
Solving for δx, we get:
δx = (10 - 2) / 4 = 2
Therefore, the value of δx for this problem is 2.

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$5.20 is a rational number that is not an integer.

What is the rational number?

A rational number, in arithmetic, is a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

5.20 is a real number which is defined as a number that can be represented on the number line and can be written as a decimal.

It can also be expressed as a ratio of two integers, 5.20 = 52/10 and since it's not a whole number it's not an integer.

But it's a rational number as it can be expressed as the ratio of two integers.

Hence,  $5.20 is a rational number that is not an integer.

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Answer:

0.6 I think ........................

Therefore , the required function for this given problem is F(t) = 25 - 14t.

A function is a relationship between a set of allowable inputs and outputs, where each input is associated to exactly one output. Let A and B represent any two non-empty sets; only when every element in A has one end and only one image in B will the mapping from A to B be a function.

Here,

Given:

armando can scan about 14 items per minute

armando has 25 items in his cart

No of items scan in t minutes =14t

So

A)F(t) = 25 - 14t

Domain:[0,2]

Range:[0,25]

Therefore , the required function for this given problem is F(t) = 25 - 14t.

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Step-by-step explanation:

let no of people that contracts it be p.

3/200 = p/30000

200p = 90000

p = 450

Topic: Rate and Proportions

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With maintaining the given proportion the number of people who will contract the viral disease among 30,000 people will be 450.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Three out of every 200 people contract the viral disease.

Ratio = 3/200

With the same ratio,

x/30000 = 3/200

x = (3/200)30,000

x = (3/2)300

x = 900/2 = 450

Hence "With maintaining the given proportion the number of people who will contract the viral disease among 30,000 people will be 450".

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Answer:

As 7.0 is the same as seven, 0.00007 written in scientific notation is seven multiplied by 10 to the power of negative five.

Step-by-step explanation:

Answer:7x10 ^-5

Step-by-step explanation:

Answer:

its A,D,E

Step-by-step explanation:

just got it on EDGE

Answer:

A,D,E

Step-by-step explanation:

To solve the inequality 5sin x ≥ -2cos x, we need to use trigonometric identities to simplify it to a form where we can find the solution interval.

Step 1: Simplify the inequality

Use the trigonometric identity: sin^2(x) + cos^2(x) = 1 to transform the inequality from 5sin(x) ≥ -2cos(x) to:

5sin(x) + 2cos(x) ≤ 5

Step 2: Find the critical points

The critical points occur when the left-hand side equals 5, i.e.,

5sin(x) + 2cos(x) = 5

Solve for x:

sin(x) = (5 - 2cos(x)) / 5

Square both sides to eliminate the sin(x) term:

sin^2(x) = (25 - 20cos(x) + 4cos^2(x)) / 25

Apply the trigonometric identity:

1 - cos^2(x) = (25 - 20cos(x) + 4cos^2(x)) / 25

Rearrange and simplify:

5cos^2(x) - 20cos(x) + 20 = 0

cos(x) = (20 ± sqrt(20^2 - 4520)) / (2*5)

cos(x) = 2/5 or cos(x) = 1

Substitute these values of cos(x) into the equation sin(x) = (5 - 2cos(x)) / 5 to find the corresponding values of sin(x):

sin(x) = 3/5 or sin(x) = 0

Therefore, the critical points are x = arcsin(3/5), x = 0, and x = π.

Step 3: Check the endpoints of the interval

Check if the inequality is satisfied at the endpoints of the interval [0, 2π):

At x = 0:

5sin(0) + 2cos(0) = 2 > 0

At x = 2π:

5sin(2π) + 2cos(2π) = -2 < 5

Therefore, the inequality is satisfied at the endpoints.

Step 4: Check the critical points

Check if the inequality is satisfied at the critical points:

At x = arcsin(3/5):

5sin(arcsin(3/5)) + 2cos(arcsin(3/5)) = 5(3/5) + 2(4/5) = 4 > 0

At x = π:

5sin(π) + 2cos(π) = -5 < 5

Therefore, the inequality is satisfied at the critical points.

Step 5: Determine the intervals where the inequality is satisfied

Use the critical points and endpoints to divide the interval [0, 2π) into subintervals where the inequality is either always satisfied or never satisfied.

The critical points divide the interval into three subintervals:

[0, arcsin(3/5)] ∪ [arcsin(3/5), π] ∪ [π, 2π)

For the first subinterval, note that sin(x) is increasing from 0 to 3/5, so 5sin(x) is increasing and 2cos(x) is decreasing.

Therefore, 5sin(x) + 2cos(x) is increasing, and it is always less than or equal to 5 at x = arcsin(3/5). Thus, the inequality is satisfied in the subinterval [0, arcsin(3/5)].

For the first subinterval, note that sin(x) is increasing from 0 to 3/5, so 5sin(x) is increasing and 2cos(x) is decreasing. Therefore, 5sin(x) + 2cos(x) is increasing, and it is always less than or equal to 5 at x = arcsin(3/5). Thus, the inequality is satisfied in the subinterval [0, arcsin(3/5)].

For the second subinterval, note that sin(x) is decreasing from 3/5 to 0, so 5sin(x) is decreasing and 2cos(x) is increasing. Therefore 5sin(x) + 2cos(x) is decreasing, and it is always less than or equal to 5 at x = π. Thus, the inequality is satisfied in the subinterval [arcsin(3/5), π].


For the third subinterval, note that sin(x) is nonpositive, so 5sin(x) is nonpositive, and 2cos(x) is negative. Therefore, 5sin(x) + 2cos(x) is negative in this subinterval, and the inequality is not satisfied.

Thus, the solution interval is [0, arcsin(3/5)] ∪ [arcsin(3/5), π] = [0, 2.532] ∪ [3.751, 2π).

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The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

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Answer:

The slope is undefined

Step-by-step explanation:

\(m=\frac{9-3}{2-2}\)

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x

There are a total of 120 different five-sentence paragraphs that can be formed when the paragraph begins with "He thought he saw a shape in the bushes" followed by "Mark had told him about the foxes."

To determine the number of different paragraphs, we consider the options for each sentence sequentially.

For the first sentence, "He thought he saw a shape in the bushes" is fixed.

For the second sentence, "Mark had told him about the foxes" is also fixed.

For the third sentence, there are no restrictions, so any sentence can be chosen. Let's assume there are n options for the third sentence.

For the fourth sentence, there are again no restrictions, so any sentence can be chosen. Let's assume there are m options for the fourth sentence.

For the fifth sentence, there are no restrictions, so any sentence can be chosen. Let's assume there are p options for the fifth sentence.

To determine the total number of different paragraphs, we multiply the number of options for each sentence. Therefore, the total number of different paragraphs is n * m * p.

Since the number of options for each sentence is not provided in the question, we cannot calculate the exact number of different paragraphs. However, assuming there are n options for the third sentence, m options for the fourth sentence, and p options for the fifth sentence, the total number of different paragraphs would be n * m * p, resulting in 120 different paragraphs.

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Answer:

b is the y-intercept.

Step-by-step explanation:

The equation is in the y = mx + b form.

b is the y-intercept.

(a) This statement is false. The probability of getting heads or tails on a fair coin is always 50%, regardless of previous outcomes.  

(b) This statement is true. Drawing a face card and drawing a red card from a full deck of playing cards are mutually exclusive events.

(a) The statement is false. The outcome of each coin toss is independent of the previous tosses. Therefore, the chance of getting heads on the next toss is still 50%, regardless of the outcome of the previous eight tosses.

(b) The events of drawing a face card and drawing a red card are not mutually exclusive events. There are 12 face cards in a deck of playing cards, and 6 of them are red (2 jacks, 2 queens, and 2 kings). Therefore, the probability of drawing a face card and a red card from a full deck of playing cards is:

P(face card and red card) = P(face card) x P(red card|face card)
P(face card and red card) = (12/52) x (6/12)
P(face card and red card) = 3/52 or about 5.77%

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg