also how do I do this one? I really don’t know

Answer:

The correct answer is 55°

Answer:

Step-by-step explanation:

8f² = 2³f²

GCF of 2f³ and 8f² = 2f²

2f³ - 8f² = 2f²(f - 4f)

The required derivative is,

h'(v) ⇒ -exp(v) 2(cos(1))⁹.

Given that,

h(v)=∫exp(vx) . 2(cosx)⁹dx                         Having limit 1 to 0

Using the Fundamental Theorem of Calculus to find the derivative of h(v). This tells us that,

h'(v) = d/dv [∫exp(vx) 2(cos(x))⁹ dx]           Having limit 1 to 0

Now, we need to use the Chain Rule to evaluate this derivative.

The Chain Rule states that if we have a function f(g(x)), then the derivative of f with respect to x is given by,

⇒ d/dx [f(g(x))] = f'(g(x))g'(x)

In this case,

We have f(x) = ∫exp(vx) 2(cos(x))⁹  dx,     Having limit 1 to 0

Which means that f'(x) = exp(vx) 2(cos(x))⁹  

We also have g(x) = vx,

Which means that g'(x) = v.

Putting these together, we get,

⇒ h'(v) = d/dv [∫exp(vx) 2(cos(x))⁹ dx]     Having limit 1 to 0

           = exp(vx) 2(cos(x))⁹ d/dv [vx]       (applying the Chain Rule)

           = exp(vx) 2(cos(x))⁹ x

Now, we can evaluate this expression by plugging in the limits of integration (1 and 0) and simplifying,

⇒  h'(v) = exp(vx) 2(cos(x))⁹ x                  Having limit 1 to 0

            = exp(0) 2(cos(0))⁹ (0) - exp(v) 2(cos(1))⁹( 1)

            = -exp(v) 2(cos(1))⁹

Therefore,

The derivative of h'(v) is -exp(v) 2(cos(1))⁹.

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The partial derivative ∂z/∂t for the given function z = ln(x - y), where x = se^t and y = e^st. Rewriting the expression as ∂z/∂t = (1/(se^t)) * (e^t * s + se^t).

To find ∂z/∂t using the chain rule, we need to apply the chain rule for partial derivatives. The chain rule allows us to find the derivative of a composition of functions. In this case, we have a function z that depends on x and y, which in turn depend on t. By applying the chain rule, we can find the partial derivative ∂z/∂t.

Steps to Find ∂z/∂t using the Chain Rule:

Step 1: Given Function and Variables

We are given z = ln(x - y), where x = se^t and y = e^st.

Our goal is to find ∂z/∂t.

Step 2: Substitute Variables

Substitute the expressions for x and y into the equation for z to eliminate x and y in terms of t.

z = ln(se^t - e^st).

Step 3: Apply the Chain Rule

The chain rule states that if z = f(u) and u = g(t), then ∂z/∂t = ∂z/∂u * ∂u/∂t.

In our case, u = se^t, and z = ln(u), so we have ∂z/∂t = (∂z/∂u) * (∂u/∂t).

Step 4: Find the Partial Derivatives

Calculate ∂z/∂u by differentiating ln(u) with respect to u: ∂z/∂u = 1/u.

Calculate ∂u/∂t by differentiating se^t with respect to t using the product rule: ∂u/∂t = e^t * s + se^t.

Step 5: Evaluate ∂z/∂t

Substitute the values for ∂z/∂u and ∂u/∂t into the expression ∂z/∂t = (∂z/∂u) * (∂u/∂t).

∂z/∂t = (1/u) * (e^t * s + se^t).

Since u = se^t, we can rewrite the expression as ∂z/∂t = (1/(se^t)) * (e^t * s + se^t).

By following these steps and applying the chain rule, you can find the partial derivative ∂z/∂t for the given function z = ln(x - y), where x = se^t and y = e^st.

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Answer:

3(x+5)

Step-by-step explanation:

Answer:

a) 1.4665787 × 10^7

b) 2.869 × 10^8

Step-by-step explanation:

Answer:

14,665,787 that's the answer for that question

Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.

Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.

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Answer:

Angle C = 142 degrees

Step-by-step explanation:

A+B = 90

B+C = 180

Rearrange first equation to get B = 90-A

Plug this into the second equation:

90-A + C = 180

C = A + 90

Plug in A, C = 52 + 90 = 142

Answer:

yes

Step-by-step explanation:

the red lines have the same angle from the blue line

Answer:

D. 6x-14

Step-by-step explanation:

So first we would do 3x^2+3x^2-5x^2

That would all cancel out so that would be 0.

Next we would do 3x-4x+7x, this would equal to 6x

Finally we would do -4-8-2, this would be equal to -14

Then the equation would be 6x-14

All you have to do is combine like terms.

Hope this helped!

A common distribution used for modeling time-to-failure is the "Weibull distribution."

The Weibull distribution has two parameters: shape (k) and scale (λ).
The shape parameter (k) determines the behavior of the failure rate. If k > 1, the failure rate increases over time, which indicates that the item is more likely to fail as it gets older. If k < 1, the failure rate decreases over time, which means that the item becomes less likely to fail as it gets older. If k = 1, the failure rate is constant over time, indicating a random failure.

The scale parameter (λ) represents the characteristic life of the item, which is the point where 63.2% of the items have failed.

To determine the specific parameters for a given situation, you would need to analyze the historical data on the time-to-failure and perform a statistical fit to estimate the values for the shape (k) and scale (λ) parameters.

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He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Question 1: To find the probability of getting exactly 3 bull's-eyes, we can use the binomial probability formula.

Given that the archer hits the bull's-eye 74% of the time, we have p = 0.74 and q = 1 - p = 0.26. We want to find P(X = 3) where X follows a binomial distribution with n = 12 trials.

Using the formula, P(X = 3) = C(12, 3) * (0.74)^3 * (0.26)^9.

Calculating this, we get P(X = 3) ≈ 0.2213, which is approximately 22.13%.

Question 4:

To determine if getting 2 consumers who recognize the Dull Computer Company name is significantly high, we can use the binomial probability formula. Given that the probability of recognition is 44%, we have p = 0.44 and q = 1 - p = 0.56. We want to find P(X = 2) where X follows a binomial distribution with n = 16 trials.

Using the formula, P(X = 2) = C(16, 2) * (0.44)^2 * (0.56)^14.

Calculating this, we get P(X = 2) ≈ 0.1763, which is approximately 17.63%.

To determine if this probability is significantly high, we need to compare it with a significance level (typically 5%). If the probability is lower than the significance level, it would be considered significantly low, not high. Therefore, we cannot determine from the information provided if it is significantly high.

Question 5:

Given that the number of whales seen on a randomly selected trip follows a Poisson distribution with a mean of 1.05, we want to find P(X = 2) where X follows a Poisson distribution.

Using the formula, P(X = 2) = (e^-λ * λ^2) / 2!,

where λ = 1.05.

Calculating this, we get P(X = 2) ≈ 0.2546, which is approximately 25.46%.

Question 6:

The probability of a new case of the disease in a town of 107 people can be approximated using the complement rule. The probability of no new cases is given by (1 - (1/59))^107. Therefore, the probability of at least one new case is 1 - (1 - (1/59))^107.

Calculating this, we get the probability ≈ 99.61%, which is approximately 99.61%.

Please note that for Questions 1 and 5, the probabilities are rounded to the nearest hundredth, and for Question 6, the probability is rounded to the nearest hundredth without the % sign.

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Answer:

10

Step-by-step explanation:

Please remember the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side. Therefore, the correct answer is 10 because the sum of 10 and 20 would not be greater than the third side 32.

Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

Answer:

$23

Step-by-step explanation:

50 + 19 is 69, and since Justin wants to divide the money into 3 parts. Just divide the total (69) by 3, to get 23. So, Justin will put $23 into the three of the accounts.

The back-transformed slope for a log-linear model is 24.5325.

Suppose a slope of 3.2 is obtained for a model fitted to log-transformed data.

For each of the following models, calculate the back-transformed slope.

Round each answer to 4 decimal places. We have to use the formula for the back-transformation of the slope is:

exp(b) - 1, where b is the slope of the log-transformed model.

Then the back-transformed slope for the given data is:

Exp(3.2) - 1 = 24.5325

The back-transformed slope for a log-linear model is 24.5325.

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The estimated salary for an employee with 18 years of experience is $65,856.46.

To find the estimated salary for an employee with 18 years of experience using the given regression equation, follow these steps:

1. Identify the regression equation: Estimated Salary = 21,640.90 + 2456.42 (Years of Experience)

2. Substitute the given years of experience (18 years) into the equation:

Estimated Salary = 21,640.90 + 2456.42(18)

3. Multiply 2456.42 by 18: 2456.42(18) = 44,215.56

4. Add 21,640.90 to the result from step 3: 21,640.90 + 44,215.56 = 65,856.46

The estimated salary for an employee with 18 years of experience is $65,856.46.

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Answer: sqrt (105)

Step-by-step explanation:

g^2 + 16^2 = 19^2

=> g^2 = 19^2 - 16^2

=> g = sqrt(19^2 - 16^2) = sqrt(361 - 256) = sqrt (105)

Answer:

X>5

Step-by-step explanation:

So first distribut the numbers

6x-12>2x+8

now subtrct 2x on both sides

4x-12>8

Now add 12 on both sides

4x>20

x>5

Answer: > 5

Step-by-step explanation: I just know

Answer: The possible numbers of fruit snacks that were in the bag  is x < 18

Step-by-step explanation: Good luck :D

The probability that the cost will be between $250 and $470 is 0.7354.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

Automobile repair costs continue to rise with the average cost now at $367 per repair.†

Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88.

We have to find the probability that the cost will be between $250 and $470.

P( 250 < x < 470 ) = P( x <470 ) - P( x < 250 )

P( x < 470 ) = NORMDIST( 470 , 367, 88, 1 ) = 0.8272

P( x < 250 ) = NORMDIST( 250 , 367, 88, 1 ) = 0.09183

P( 250 < x < 470 ) = 0.8272 - 0.09183 = 0.7354

P( 250 < x < 470 ) = 0.7354

Hence, the probability that the cost will be between $250 and $470 is 0.7354.

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Answer:

B 5,7

Step-by-step explanation:

Endpoint B (x,y) (missing therefore I called them x and y)

endpoint A (1,-7)

midpoint M (-2,0)

use your midpoint formula:

x1+x2   ,  y1+y2

¯¯2¯¯¯    ¯¯2¯¯    

(x+1)/2 = -2 (mulitply the 2 on both side )

x+1 = -4      (subtract 1 on both side)

x = -5

(y+-7)/2 = 0 (mulitply the 2 on both side )

y-7 = 0   (add 7 on both side)

y = 7

Endpoint B (-5,7)

It's kind of self-evident. Any power of 21 will have a 1 in the units place, and adding 9 to it makes it 0 and hence the number is divisible by 5.

To prove the claim by induction, first establish the base case. I assume \(n\in\Bbb N\), so for \(n=1\) we have

\(21^1 + 9 = 21 + 9 = 30\)

and of course 30 = 5×6 is divisible by 5.

Assume the claim is true for \(n=k\), that \(5 \mid 21^k + 9\). This means that for some integer \(\ell\), we can write

\(21^k + 9 = 5\ell\)

Now the induction step: when \(n=k+1\), we have

\(21^{k+1} + 9 = \bigg(21\times(21^k + 9) - 9\times21\bigg) + 9 \\\\ ~~~~~~~~~~~~~~ = 21\times5\ell - 9\times20 \\\\ ~~~~~~~~~~~~~~= 5\times(21\ell - 9\times4)\)

which is divisible by 5. QED

The lowest price of a computer is Brand A $324

The gift card has to be less than that.

The inequality would be: v < 324

a) The average cost function is AC(X) = C(X) / X.

b) The average cost at the sales level of 2000 hotdogs is approximately $90.075 per hotdog, while at the sales level of 5000 hotdogs, it is approximately $90.03 per hotdog.

c) The marginal average cost function is MAC(X) = 90 / X - (150 + 90X) / X^2.

d) The marginal average cost at the sales level of 2000 hotdogs is approximately $0.0000375 per hotdog, indicating a very small increase in cost. At the sales level of 5000 hotdogs, the marginal average cost is approximately -$0.000006 per hotdog, suggesting a slight decrease in cost.

a) The average cost function represents the cost per unit of hotdogs sold. It is calculated by dividing the total cost by the number of hotdogs sold. In this case, the total cost function is given as C(X) = 150 + 90X, where X represents the number of hotdogs sold.

To find the average cost function, we divide the total cost by the number of hotdogs, X:

Average Cost = Total Cost / Number of Hotdogs

So, the average cost function, AC(X), is given by:

AC(X) = C(X) / X

b) To find the average cost at the sales level of 2000 hotdogs, we substitute X = 2000 into the average cost function:

AC(2000) = C(2000) / 2000

AC(2000) = (150 + 90(2000)) / 2000

AC(2000) = (150 + 180000) / 2000

AC(2000) = 180150 / 2000

AC(2000) = 90.075

The average cost at the sales level of 2000 hotdogs is approximately $90.075 per hotdog.

Similarly, to find the average cost at the sales level of 5000 hotdogs, we substitute X = 5000 into the average cost function:

AC(5000) = C(5000) / 5000

AC(5000) = (150 + 90(5000)) / 5000

AC(5000) = (150 + 450000) / 5000

AC(5000) = 450150 / 5000

AC(5000) = 90.03

The average cost at the sales level of 5000 hotdogs is approximately $90.03 per hotdog.

c) The marginal average cost function represents the rate of change of the average cost with respect to the number of hotdogs sold. It is obtained by differentiating the average cost function with respect to X.

MAC(X) = d(AC(X)) / dX

To find the marginal average cost function, we differentiate the average cost function AC(X):

MAC(X) = d/dX (C(X) / X)

MAC(X) = (1 / X) * (dC(X)/dX) - (C(X) / X^2)

Substituting the given total cost function C(X) = 150 + 90X and its derivative dC(X)/dX = 90 into the marginal average cost function, we have:

MAC(X) = (1 / X) * 90 - (150 + 90X) / X^2

MAC(X) = 90 / X - (150 + 90X) / X^2

d) To find the marginal average cost at the sales level of 2000 hotdogs, we substitute X = 2000 into the marginal average cost function:

MAC(2000) = 90 / 2000 - (150 + 90(2000)) / 2000^2

MAC(2000) = 90 / 2000 - (150 + 180000) / 4000000

MAC(2000) = 0.045 - 180150 / 4000000

MAC(2000) = 0.045 - 0.0450375

MAC(2000) ≈ 0.0000375

The marginal average cost at the sales level of 2000 hotdogs is approximately $0.0000375 per hotdog.

Similarly, to find the marginal average cost at the sales level of 5000 hotdogs, we substitute X = 5000 into the marginal average cost function:

MAC(5000) = 90 / 5000 - (150 + 90(5000)) / 5000^2

MAC(5000) = 90 / 5000 - (150 + 450000) / 25000000

MAC(5000) = 0.018 - 450150 / 25000000

MAC(5000) = 0.018 - 0.018006

MAC(5000) ≈ -0.000006

The marginal average cost at the sales level of 5000 hotdogs is approximately -$0.000006 per hotdog. Note that the negative value implies a slight decrease in the average cost as the number of hotdogs sold increases.

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The probability would be 0.086.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.

                           \(P(Sample mean < 76.4)\\\\= P(z < \frac{76.4-79}{20/\sqrt{110}})\\\\= P(z < -1.36)\\\\= 0.086\)

Hence, the probability would be 0.086.

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Answer:

12

Step-by-step explanation:

25/30=10/x

cross multiply

25x=30*10

25x=300

x=12

Answer:

(30/x) = (25/10)

x = (30*10)/25

x = 12