find f'(x)= such8x^2 7x-2 that f(0)= 3

Answer:

wheres the equation

Step-by-step explanation:

Answer:

Arithmetic= 98.3, ECT/ -12, ECT.

Geometric=1.75, ECT/ -1, ECT

Neither= 1,ECT

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

answer is B, 3,500. B 3500

Step-by-step explanation:

Set A is a subset of set B if all the elements of A are also the elements of Set B.. (common element)

The above set have 0 common elements so.. if there is no common element and are subsets then it means that there arent any elements in both the sets

so, the answer for the question would be "both the Sets A and B are the empty sets"

Answer:

B

Step-by-step explanation:

26x82=2132

2132/2=1066

Answer:

828.6667

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

The mistakes he made in the sequence and the correct answers are  (1) 121, 125, 129,133, (2) 2190 (3) 601 (4) No mistake (5)  1018, 1024, 1022, 1024

The given parameters that will guide to us detect the error in the sequence are

1.    114, 118, 112, 116, 121, 125, 129, 133

The sequence is in Arithmetic progress with a common difference of 4

The correct sequence should be

114,118,112,116,120,124,128,132

2. The given sequence is 2155,2160,2165,2170,2175,2180,2190,2200

The sequence is also in Arithmetic Progression with a difference of 5

The correct answer is 2155,2160,2165,2170,2175,2180,2185,2190

3. The given sequence is 597,598,599,601,610,611,612,613

The sequence is not correct,

The common difference between the terms is 1

The correct answer is 597,598,599,600,601,602,603,604

4. The sequence is 218,225,232,239,246,253,260,267

The common difference of the AP is 7

You can notice that there is no mistakes

5. The given sequence is 1018,1024,1022,1024,1030,1032,1034

The is a mistake in the sequence.

The common difference is 2

The correct sequence should be 1020,1022,1024,1026,1028,1030,1032,1034

In conclusion, there are some errors as corrected in the sequence above

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The test statistic for this hypothesis test is approximately -2.748. Americans spend less than 7 hours a week answering their email.

To find the test statistic, we need to perform a hypothesis test to determine if the sample data supports the researcher's suspicion that Americans spend less than 7 hours a week answering their email.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The population mean number of hours Americans spend answering their email per week is 7 or more

Alternative hypothesis (H₁): The population mean number of hours Americans spend answering their email per week is less than 7

Next, we can calculate the test statistic, which is the standardized value that measures the distance between the sample mean and the hypothesized population mean, considering the sample size and variability.

The test statistic formula for a one-sample t-test is given by:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

Given the information from the study:

Sample mean = 6.01

Sample standard deviation (s) = 8.96

Sample size (n) = 617

Hypothesized mean  = 7

Substituting these values into the formula, we get:

t = (6.01 - 7) / (8.96 / √617)

Calculating this expression gives us the test statistic.

t = (-0.99) / (8.96 / √617)

t ≈ -0.99 / (8.96 / 24.81)

t ≈ -0.99 / 0.3602

t ≈ -2.748

Therefore, the test statistic for this hypothesis test is approximately -2.748.

The test statistic provides a measure of how far the sample mean is from the hypothesized mean in terms of standard deviations. In this case, since the test statistic is negative, it suggests that the sample mean is less than the hypothesized mean, supporting the researcher's suspicion that Americans spend less than 7 hours a week answering their email.

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Answer:

Sample 1

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k to add speaker notes

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Sample 2

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Answer:

40 Percent

Step-by-step explanation:

I just used a calculator.

Answer:

daughter 1. son 5. wife 25. father 50

The monthly payment amount for financing the $17,000 car over 5 years with a 5% interest rate compounded monthly is approximately $321.58. The total interest paid on the loan is $2,294.80.

To find the payment amount for financing the $17,000 car over 5 years with a 5% interest rate compounded monthly, we can use the formula for the monthly payment amount on a loan.

The formula is:

PMT = PV * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT is the monthly payment amount

PV is the present value of the loan

r is the monthly interest rate

n is the total number of monthly payments

Given:

PV = $17,000 (the amount to finance)

r = 5% / 100 / 12 = 0.004167 (monthly interest rate)

n = 5 years * 12 months/year = 60 months

Substituting these values into the formula:

PMT = $17,000 * (0.004167 * (1 + 0.004167)^60) / ((1 + 0.004167)^60 - 1)

Using a calculator or spreadsheet software, we can calculate the monthly

payment amount to be approximately $321.58.

(b) To find the total interest paid over the 5-year period, we can subtract the principal amount (PV) from the total amount paid over the term of the loan. The total amount paid is simply the monthly payment amount (PMT) multiplied by the number of monthly payments (n).

Total amount paid = PMT * n = $321.58 * 60 = $19,294.80

Total interest paid = Total amount paid - Principal amount

Total interest paid = $19,294.80 - $17,000 = $2,294.80

Therefore, the total interest paid on the loan is $2,294.80.

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The minimum of Brown's badly scaled function, f(x) = (x₁ - 10^6)² + (x₂ − 2 × 10^-6)² + (x₁x₂ - 2)², can be found using Powell's method.

Powell's method is an optimization algorithm used to find the minimum of a function. It is an iterative method that searches for the minimum by successively approximating the direction of the minimum along each coordinate axis.

To apply Powell's method to find the minimum of Brown's badly scaled function, we start with an initial guess for the minimum point. Then, we iteratively update the guess by evaluating the function at different points and adjusting the guess based on the obtained results.

The iterative process continues until a convergence criterion is met, indicating that the minimum has been sufficiently approximated. The final guess represents the minimum point of the function.

By applying Powell's method to Brown's badly scaled function, we can determine the coordinates of the minimum point, which correspond to the values of x₁ and x₂ that minimize the function. The specific values of x₁ and x₂ will depend on the initial guess and the convergence criteria used in the optimization process.

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Answer:

increase

Step-by-step explanation:

the change from 32 miles to 24 is decrease is 8 difference. % change to 196 is an increase.

The percentage change is 25% and it is a percent of increase.

percentage, a relative value indicating hundredth parts of any quantity.

To find the percentage change from 32 miles to 24 miles, we first need to calculate the absolute change:

Absolute change = Old value - New value

Absolute change = 32 miles - 24miles

Absolute change = 8 miles

Percentage change = (Absolute change / Old value) x 100%

Percentage change = (8 miles / 32 miles) x 100%

Percentage change = 25%

Which means there is a 25% increase from 32 miles to 24 miles.

Therefore, the percentage change is 25% and it is a percent of increase.

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We will go into more detail about various techniques that are currently thought to help gymnasts become more flexible or increase flexibility below:

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

Because certain abilities cannot be learned by gymnasts without the proper range of motion, flexibility is crucial in the sport. When they are unable to attain a particular rank, they will also be subject to deductions. Gymnasts, for instance, are penalized when they don't execute split leaps at the angle required by their level.

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Answer: 21450

Step-by-step explanation:

That is the initial price.

The line cross the y axis at 21450.

The correct option is (C)

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Elise is buying a new car selling for $21,450.

The rate of depreciation on this type of car is 8% per year.

Using f(x) = A \((1+r)^x\)

A= $21,450.  and r = -8% (depreciated)

So, f(x) = A \((1+r)^x\)

f(x) = 21450 \((1- 8/100)^x\)

= 21450 x \((0.92)^x\)

Thus, the line cross the y axis at

= 21450 ( initial point)

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A statistically significant result in a well-designed experimental research project without any confounding variables supports the conclusion that the observed effect is genuine and not due to chance, thereby indicating a true relationship between the study's independent and dependent variables.

Based on your question, you'd like an explanation of a statistically significant result in a well-designed experimental research project without any confounding variables. The most appropriate conclusion would be:
When a statistically significant result is found in a well-designed experimental research project without any confounding variables, it indicates that there is a strong likelihood that the observed effect is genuine and not due to chance. In other words, the results suggest that there is a meaningful relationship between the independent and dependent variables, and this relationship is not likely to have occurred by chance or through the influence of any confounding variables.
To arrive at this conclusion, follow these steps:
First, the experimental research project is carefully designed to control for any potential confounding variables that may affect the outcome. This is crucial for ensuring the validity of the study's results.
Next, data is collected from the study participants, and statistical analyses are performed to determine whether the results are significant.
If the results are statistically significant, it means that there is a low probability that the observed effect occurred by chance. In other words, the probability of the observed effect being a false positive is below a predetermined threshold, typically set at 5% (p-value < 0.05).
Given that the study is well-designed and without confounding variables, the significant result strengthens the conclusion that the observed effect is genuine, and there is a true relationship between the independent and dependent variables in the study.
In summary, a statistically significant result in a well-designed experimental research project without any confounding variables supports the conclusion that the observed effect is genuine and not due to chance, thereby indicating a true relationship between the study's independent and dependent variables.

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Answer:

it is the second one

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

21

Answer:

0.221354166667

Step-by-step explanation:

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

The car is worth approximately $14,488.57 after six years of depreciation at a rate of 7.5% per year, given that it was bought for 25,300.

To find the value of the car after six years of depreciation at a rate of 7.5% per year, we can use the formula:

Value after t years = Initial value x \(e^(-rt)\)

where r is the annual depreciation rate as a decimal (in this case, 0.075), t is the number of years of depreciation (in this case, 6), and e is the mathematical constant approximately equal to 2.71828.

Substituting the values given in the problem, we get:

Value after 6 years = 25,300 x \(e^(-0.075 x 6)\)

Simplifying the expression inside the exponential, we get:

Value after 6 years = 25,300 x \(e^(-0.45)\)

Using a calculator to evaluate \(e^(-0.45)\), we get:

Value after 6 years = 14,488.57 (rounded to the nearest cent)

Therefore, after six years at 7.5% annual depreciation, the automobile is now valued roughly 14,488.57.

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There is ''No solution'' of the expression |x| + 7 < 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ |x| + 7 < 4

Now, We can solve the expression as;

The expression is,

⇒ |x| + 7 < 4

Subtract 7 both side;

⇒ |x| + 7 - 7 < 4 - 7

⇒ |x| < - 3

Hence, The expression has no solution.

Thus, There is ''No solution'' of the expression  |x| + 7 < 4.

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\( \bf Question :- \\ \)

what is the value of expression

when g=4 and h=2

\( \bf Solution :- \\ \)

\( \longrightarrow \: \: \frac{1}{4} (16 + g) - h \\ \\ \longrightarrow \: \: \frac{1}{4} (16 + 4) - 2 \\ \\ \longrightarrow \: \: \frac{1}{{ \cancel{4} }} \times( \cancel{ 20)} - 2 \\ \\ \longrightarrow \: \: 1 \times 5 - 2 \\ \\ \longrightarrow \: \: 1 \times 3 \\ \\ \longrightarrow \: \: 3 \\ \)

Henceforth, Option c is the required answer.

When a planet is seen at opposition, it is always near its closest point to Earth, which is option C) closest point to Earth.

Opposition occurs when a planet, the Earth, and the Sun are aligned in a straight line, with the Earth in the middle. During opposition, the planet is on the opposite side of the Sun as seen from Earth, which makes it appear brightest and closest to us. This is because the planet is at its closest point to Earth in its orbit.

For example, let's consider Mars. When Mars is at opposition, it is at its closest point to Earth, which can make it appear much brighter and larger in the night sky. This is why astronomers often take advantage of opposition to observe planets in greater detail.

In contrast, options A and D are incorrect because the closest and farthest points to the Sun are related to a planet's elliptical orbit, not its position during opposition. Option B is also incorrect because during opposition, the planet is actually closer to Earth, not farther away.

So, the correct answer is C) closest point to Earth.

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