find y=f(x) if f''(x)=6x-2 f'(0)=3 and f(0)=7

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when a transversal cuts two parallel lines, the alternate exterior angles are congruent.

In this scenario, angle ZCXP is an alternate exterior angle with respect to angles ZRYD and ZSYD. Since angle ZRYD is congruent to angle ZSYD, angle ZCXP is also congruent to angle ZRYD.

Therefore, the correct answer is A. ZRYD.

The scatter plot of the data given is:

To find it we have to plot each of the points given in the table. In here the horizontal axis is the price and the y axis the numner of items sold.

Comparing this with the plots given we conclude that the answer is D.

Answer:

Answer:

x=14/5

Step-by-step explanation:

Let's solve your equation step-by-step.

7(−2x+4)=−4x

Step 1: Simplify both sides of the equation.

7(−2x+4)=−4x

(7)(−2x)+(7)(4)=−4x(Distribute)

−14x+28=−4x

Step 2: Add 4x to both sides.

−14x+28+4x=−4x+4x

−10x+28=0

Step 3: Subtract 28 from both sides.

−10x+28−28=0−28

−10x=−28

Step 4: Divide both sides by -10.

−10x

−10

=

−28

−10

x=14/5

Answer is, x=14/5.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have.

Let's solve your equation step-by-step.

7(−2x+4)=−4x

Step 1: Simplify both sides of the equation.

7(−2x+4)=−4x

(7)(−2x)+(7)(4)=−4x(Distribute)

−14x+28=−4x

Step 2: Add 4x to both sides.

−14x+28+4x=−4x+4x

−10x+28=0

Step 3: Subtract 28 from both sides.

−10x+28−28=0−28

−10x=−28

Step 4: Divide both sides by -10.

−10x/−10=−28/−10

x=14/5

hence, Answer is, x=14/5.

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Answer:

Step-by-step explanation:

x=-3

Answer:

x=3

Step-by-step explanation:

I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.

I'll do parts (a) through (c) to get you started

(a) False. The explanatory variable is always along the x axis, and the response variable is along the y axis. The response variable reacts to whatever the input explanatory variable is, hence the name "response".

---------

(b) True. If all data lie along a single straight line with nonzero slope, then either r = -1 or r = 1. If we have all data points on a line with some negative slope, then r = -1. If the regression slope is positive, then r = 1. Either way, it will lead to r^2 = 1 because (1)^2 = 1 and (-1)^2 = 1. In other words, there are two solutions to r^2 = 1 and they are r = -1 or r = 1. In the case of r = -1, we say the data has perfect negative linear correlation. With r = 1, the data has perfect positive linear correlation.

---------

(c) True. If r > 0, then we have some level of positive correlation which means the regression slope is positive in some way. If r < 0, then the regression slope is negative in some way. That must mean r = 0 leads to the regression slope having a flat horizontal line. This could mean one of two things: i) The points are all on or near the same curve such as a parabola, ii) The points are completely randomly scattered about. If case (i) happens, then it's better to use nonlinear regression instead of linear regression.

The surface area of the pyramid is 76 square centimeters.

From the given figure, the dimensions of base are length=6 cm and width =4 cm.

Here, area of a base (rectangle) = Length×Breadth

= 6×4

= 24 square centimeters

We know that, area of a triangle = 1/2 ×Base×Height

Area of from and back triangles = 1/2 ×2×6×5

= 30 square centimeters

Area of side triangles = 1/2 ×2×4×5.5

= 22 square centimeters

So, surface area = 24+30+22

= 76 square centimeters

Therefore, the surface area of the pyramid is 76 square centimeters.

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The Box-Cox transformation is a type of transformation that applies to the dependent variable. It can be used when the dependent variable is not normally distributed.

It can also be applied when the errors (i.e., residuals) are not normally distributed.The Box-Cox transformation is a statistical technique that can be used to transform non-normal data into a more normal distribution. This can be useful for a variety of statistical analyses, such as regression analysis and hypothesis testing.

The Box-Cox transformation is named after George Box and David Cox, who developed the technique in the 1960s.

The Box-Cox transformation is a power transformation, which means that it is a function of the form y

λ

, where y is the original data and λ is a parameter. The value of λ is chosen to maximize the likelihood of the data.

The Box-Cox transformation can be used to improve the fit of a linear regression model when the dependent variable is not normally distributed. The transformation can also be used to improve the power of a hypothesis test when the residuals are not normally distributed.

The Box-Cox transformation is a versatile statistical technique that can be used to improve the analysis of non-normal data.

Here are some additional details about the Box-Cox transformation:

The Box-Cox transformation is a monotonic transformation, which means that it preserves the order of the data. This is important for statistical analyses, such as regression analysis, where the order of the data is important.

The Box-Cox transformation is a relatively simple transformation to implement. It can be easily implemented in most statistical software packages.

The Box-Cox transformation is a powerful tool for improving the analysis of non-normal data. It can be used to improve the fit of linear regression models, the power of hypothesis tests, and the interpretability of statistical results.

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Answer:

15z+13

Step-by-step explanation:

hey! all we have to do is combine like terms.

21z-6z+13

15z+13

there's your answer.

Answer:

15z+13

Step-by-step explanation:

21z-6z+13

Combine like terms (21z+6z) [Because both of these numbers have a Z next to them]

15z+13

When more than 25 shirts are ordered, the price is $15 per shirt, plus $15 shipping and handling.  If $720 was spent on shirts,  the student council ordered 47 shirts.

Let x be the number of shirts ordered. We can set up an equation based on the given information:

If x ≤ 25, then the cost of the shirts is 20x + 20.

If x > 25, then the cost of the shirts is 15x + 15.

We know that the total cost of the shirts is $720. So, we can write:

20x + 20 if x ≤ 25

15x + 15 if x > 25

Setting these equal to each other, we get:

20x + 20 = 15x + 15

5x = 5

x = 1

This doesn't make sense, because the number of shirts ordered must be greater than 1. Therefore, we know that the student council ordered more than 25 shirts.

Using the equation 15x + 15 = 720, we can solve for x:

15x + 15 = 720

15x = 705

x = 47

To check, we can calculate the cost of the shirts:

If 47 shirts are ordered, then the cost is 15(47) + 15 = $720.

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a. the marginal profit at x = 500 is $28.3.

b. the marginal profit at x = 1000 is $62.3.

c. the marginal profit at x = 6000 is $358.3.

d. the marginal profit at x = 12,000 is $718.3.

The profit in dollars from the sale of x expensive watches is P(x)=0.03x2−2x+7x0.3−5400. Let's find the marginal profit in each of the given values of x, namely, 500, 1000, 6000, and 12,000.  

Marginal Profit:

The marginal profit is the extra profit earned by selling one additional product. The marginal profit is found by taking the derivative of the profit function with respect to x and then substituting the given values of x. Then, we will evaluate the derivatives and substitute the given values of x.

(a) x = 500

To calculate the marginal profit at x = 500, we need to find the derivative of P(x).

P'(x) = 0.06x - 2 + 7/3 P'(500)

= 0.06(500) - 2 + 7/3

= 28.3

Therefore, the marginal profit at x = 500 is $28.3.

(b) x = 1000P'(x)

= 0.06x - 2 + 7/3P'(1000)

= 0.06(1000) - 2 + 7/3

= 62.3

Therefore, the marginal profit at x = 1000 is $62.3.

(c) x = 6000P'(x)

= 0.06x - 2 + 7/3P'(6000)

= 0.06(6000) - 2 + 7/3

= 358.3

Therefore, the marginal profit at x = 6000 is $358.3.

(d) x = 12,000P'(x)

= 0.06x - 2 + 7/3P'(12000)

= 0.06(12000) - 2 + 7/3

= 718.3

Therefore, the marginal profit at x = 12,000 is $718.3.

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Answer:

the pic is block

Step-by-step explanation:

Answer:

It wont allow anyone to see it.

Step-by-step explanation:

1. Let B={4}. Note that B⊂A. Find a subset C of A such that B∪C=A and B∩C=∅.Subset C of A can be calculated as follows: C = A - B = {2, 3, 6, 9}2. Let D={3,9}. Note that D⊂A. Find a subset E of A such that D∪E=A and D∩E=∅.Subset E of A can be calculated as follows:E = A - D = {2, 4, 6}3.

How many distinct pairs of disjoint non-empty subsets of A are there, the union of which is all of A?The set A contains 5 elements; hence it has 2^5-1 = 31 non-empty subsets. A set of two non-empty subsets of A is disjoint if and only if one of them does not contain an element that is present in the other.

If the first subset has k elements, the number of such disjoint pairs is equal to the number of subsets of the remaining 5-k elements which is 2^(5-k)-1. Hence the total number of disjoint pairs of non-empty subsets of A is equal to 2^5-1 + 2^4-1 + 2^3-1 + 2^2-1 + 2^1-1 = 63.There are 63 distinct pairs of disjoint non-empty subsets of A that have the union as all of A.

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Answer:

40%

Step-by-step explanation:

\(\frac{8}{20}*\frac{100}{1}\\ 8*5=40\)

Answer:

70 i am 100 percent sure

Step-by-step explanation:

1:10

7     70

Answer:

5/12

Step-by-step explanation:

Based on the number of people in the group of visitors to the zoo, the way that the average compares to the median is that the average is the same as the median.

The given dataset for the number of people in a group of visitors according to Julia's data is:

2, 2, 3, 4, 6, 8, 8

The median for this data set is the middle value of 4.

This is the same as the mean:

= (2 + 2 + 3 + 4 + 6 + 8 + 8) / 7

= 4

So, the mean and the median are the same.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

in 6 hours it will be 3384

Answer:

654

Step-by-step explanation:

Hope this is right:)

Answer:

The answer is D

Step-by-step explanation:

The answer is D

Answer:

-8°C Degrees in Toronto

Step-by-step explanation:

Just calculate it.

If you minus 3 from -5, then you will get -8, so hence, your answer is -8.

Answer:

-8 (degrees)C

Step-by-step explanation:

-5-3=-8

Answer:

-x - 3

Step-by-step explanation:

1) Distribute

(3x+3)-(4x+6)

3x + 3 - 4x - 6

2) Subtract the numbers

3x + 3 - 4x - 6

3x - 3 - 4x

3) Combine like terms

3x - 3 - 4x

-x - 3

Answer:

$678.98

Step-by-step explanation:

Let the amount she had before she started spending be T. If she went shopping and spent $493.98 then the amount she would have is

= T - 493.98

Given that she has $185 left then

T - 493.98 = 185

Add 493.98  to both sides

T - 493.98 + 493.98 = 185 + 493.98

T = $678.98

She must have had $678.98 in her bank account to begin?

Answer:

Step-by-step explanation:

\(y=\left \{ {({1/2)x+6, x > 4} \atop {6x,} x\geq 1} \right.\)

Answer:

B. x = -8

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

Answer:

The answer is 15 because that absolute value for anything is 15. No matter what number

Step-by-step explanation:

Answer:

I got 5^10 x 2^14 x 3

Step-by-step explanation:

1. Do a tree to find 480 as a product of its prime factors

2. You should get 480= 5x2x3x2x2x2x2

3. 10 expressed as a product of its prime factors is 5x2

4. so 10^9 expressed as a product of its prime factors would be

5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

5. You can then write out 480x10^9 as a product of its prime factors

5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

6. change this to use powers

5^10 x 2^14 x 3

N = 5^(10) × 2^(14) × 3

This is about prime factors

By definition, a prime factor is a factor of a number and that factor is also a prime number.

A prime number is one that is divisible by only itself and 1.

The number we have is; 480 × 10^(9)

Now, let's list the prime factors or 480 and they are;

2, 3, 5

Now, using these prime factors alone to get 480, we have;

5 × 3 × 2 × 2 × 2 × 2 × 2 = 480

In powers, gives;

5 × 3 × 2^(5)

Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;

(5 × 2)^(9)

Expanding this gives; 5^(9) × 2^(9) = 10^(9)

Thus;

480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)

This gives;

5^(10) × 2^(14) × 3

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Answer:

180:35

Step-by-step explanation: