Solve for b.
-3b
-6
b=

Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

SOLUTION

Problem Statement

The question wants us to find the average rate of change of the function y = 18 on the interval [1000, 10,000].

Method

- The function given is a constant function. This means that for every value of x from -∞ to +∞, the value of the function will always be y = 18.

- Since y is a function of x (albeit a constant function of x), it can be written as y = f(x).

- With these in mind, we can find the average rate of change of the function using the formula given below:

- Note that since the function is a constant function, we should expect that its rate of change should be ZERO since the function is constant throughout despite the value of x.

Let us apply the formula above to find the average rate of change of the given function.

Implementation

The average rate of change of the function y = 18 is gotten below:

Final Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

The general solution of the given differential equation y" + 6y + 10y = 20x + 4 is y(x) = C₁cos(√10x) + C₂sin(√10x) - 2x - 2/5.

To find the general solution of the given differential equation, we can use the method of undetermined coefficients. First, we solve the associated homogeneous equation y" + 6y + 10y = 0.

The characteristic equation of the homogeneous equation is r² + 6r + 10 = 0, which has complex roots -3 ± √(-1) = -3 ± i√(1), denoted as α ± βi. The general solution of the homogeneous equation is y_h(x) = C₁e^(-3x)cos(√x) + C₂e^(-3x)sin(√x), where C₁ and C₂ are arbitrary constants.

Next, we find a particular solution of the non-homogeneous equation y" + 6y + 10y = 20x + 4. Since the right-hand side is a linear function, we assume a particular solution of the form y_p(x) = Ax + B. Plugging this into the equation, we find A = -2 and B = -2/5.

Therefore, the general solution of the given differential equation is y(x) = y_h(x) + y_p(x) = C₁e^(-3x)cos(√x) + C₂e^(-3x)sin(√x) - 2x - 2/5, where C₁ and C₂ are arbitrary constants. This solution satisfies the differential equation and includes both the homogeneous and particular solutions.

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Answer:

By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.

Hope it helps..

Answer:

first on the slope is 3 and y intercept is 0,-1

second on the slope is 3 and y intercept 0,2

Step-by-step explanation:

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

Answer:

The question is incomplete, below is a possible match to the complete question:

The Chambers family has a net monthly income of $6,500. A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent. If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.

$161

$853

$970

$1,170

The correct answer is $970

Step-by-step explanation:

To calculate the old budget for clothing, let us first convert from percentage to monetary value, and this is done as follows:

Clothing = 18% of monthly income

where: monthly income = $6,500

∴ clothing = 18/100 × 6,500

= 0.18 × 6,500 = $1,170

old budget = $1,170

If the family decides to reduce its clothing budget by $200 a month, the new budget will be:

New budget = old budget - $200

= 1,170 - 200 = $970.

Therefore, the new budget will be $970

Answer:

C. $970

Step-by-step explanation:

edge 2021

1) Factorial - Numbers arranged in a specific order.

2) 0! - An array of numbers.

3) Sigma - A symbol for a sum.

4) Addition series - A series whose terms are formed by addition.

5) Combinations - 1.

6) Geometric series - A series whose terms are formed by multiplication.

7) ! - Permutation.

8) Sequence - A set of elements that does not consider order.

9) Pascal's triangle - A study of likelihoods.

10) Probability - A sum of numbers in a specific order.

11) Arithmetic series - A set of elements in a specific ord

1. Factorial: A product of all positive integers up to a given number (n!). For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

2. Array of numbers 0!: 0! is defined to be 1. This is a convention to simplify mathematical expressions and formulas.

3. Sigma (Σ): A symbol used to represent the sum of a series of numbers, typically written as Σ(expression) with specified lower and upper limits.

4. Series: A sequence of terms formed by adding the terms of a sequence. An example of an addition series is 1 + 2 + 3 + 4 + 5.

5. Combinations: The number of ways to choose a specific subset of items from a larger set without regard to the order in which they are chosen.

6. Geometric Series: A series whose terms are formed by multiplying each term by a constant factor. For example, 1, 2, 4, 8, 16 is a geometric series with a constant factor of 2.

7. Permutation: An arrangement of elements from a set where the order of the elements matters.

8. Sequence: A set of elements that does not consider order. It is a list of numbers or objects arranged according to a specific rule.

9. Pascal's Triangle: A triangular array of numbers in which the first and last number in each row is 1, and each of the other numbers is the sum of the two numbers above it. Pascal's Triangle is used to study the likelihoods and combinatorics.

10. Probability: A measure of the likelihood that a particular event will occur. It is the sum of the probabilities of all possible outcomes in a specific order, expressed as a number between 0 and 1.

11. Arithmetic Series: A set of elements in a specific order where each term is formed by adding a constant difference to the preceding term. For example, 2, 5, 8, 11, 14 is an arithmetic series with a constant difference of 3.

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To find the length of an arc of a circle, we need to use the formula:

Arc length = (central angle/360°) x 2πr

where r is the radius of the circle.

In this case, the central angle is 100°, and the radius is 15 in. So we can plug in these values and simplify:

Arc length = (100/360) x 2π(15)

Arc length = (5/18) x 30π

Arc length = 50/3 π or approximately 52.36 in.

Therefore, the length of a 100° arc for a circle with a 15 in. radius is approximately 52.36 inches.

The estimator, which uses the data collected by yourself, is the most efficient estimator for the average salary offered to Stony Brook college graduates. The answer does not depend on the value of c.

1. To compare the efficiency of the estimators, we need to compare their variances. Since the variance of your data is lower than the variance of your friend's data, your estimator î1 has a smaller variance and is therefore more efficient.

2. In the second scenario where c = 0, we can use the sample mean and sample variance to construct a confidence interval for the true mean salary. With N = 300 observations, s^2 = 20,000,000, and î1 = $48,000, we can calculate the confidence interval using the t-distribution with N-1 degrees of freedom and a 1% significance level. If the confidence interval does not contain the value of $50,000, you would reject your friend's argument.

(Note: The specific calculations for the confidence interval are not provided in the given information.)

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Answer:

\((x+2\sqrt{3} )(x+\sqrt{3} )\)

Step-by-step explanation:

\(x^2 + 3\sqrt{3}x + 6\\=> x^2 + \sqrt{3}x + 2\sqrt{3}x +6\\=> x( x+\sqrt{3}) + 2\sqrt{3}(x+\sqrt{3} )\\ => (x+2\sqrt{3} )(x+\sqrt{3} )\)

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

bottom was cut off a bit its 4=b

The perimeter of the given shape is calculated to be 46 meters.

To find the perimeter of a shape, you need to add up the lengths of all of its sides. In this case, it appears that there are several numbers and letters included in the question that are not relevant to finding the perimeter. We will ignore these and focus on the numbers that represent the lengths of the sides of the shape.

The sides of the shape are 3 meters, 1 meter, 18 meters, 3 meters, 3 meters, and 18 meters. To find the perimeter, we add these lengths together:

Perimeter = 3 + 1 + 18 + 3 + 3 + 18 = 46 meters

Therefore, the perimeter of the shape is 46 meters. This can be written as a whole number, since there are no fractions involved.

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Answer:

Step-by-step explanation:

If the zero occur when x={5, -2, -1} then the equation must be

(x-5)(x+2)(x+1) if expansion is desired

(x^2-3x-10)(x+1)

x^3+x^2-3x^2-3x-10x-10

x^3-2x^2-13x-10

Answer:

24n + 32p

Step-by-step explanation:

We can simply distribute the 8 to each term in the parenthesis:

8(3n) = 24n

8(4p) = 32p

24n + 32p

==========================================================

Explanation:

When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.

In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.

In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.

If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.

The answer is $112.70  The Question is a simple Sales tax rate calculating problem.

Multiplying the purchase price by the sales tax rate will provide the sales tax. Don't forget to round the sales tax rate from percent to decimal. The price of the purchase is increased after the sales tax has been calculated. The entire cost is what the client pays as a result.

Sales tax rate = Sales tax percent / 100.

Sales tax = List price x Sales tax rate.

Given,

Rate of sandwich is = $4. 00

Rate of drink is = 94$

The rate of a meal that Her grandson ordered is =$6. 35.

What was the total price of all three items when 8% sales tax was added?

Total price of all three items without tax = 4 + 94 + 6.35

= $104.35

Total price of all three items with tax = (100% + tax) * Price

= (100% + 8%) * 104.35 = 108% * 104.35

= 1.08 * 104.35 = 112.698

≅ $112.70

The estimation to check if the result is reasonable by putting the answer in the original equation.

E.g. x + 4 = 10; x = 10 - 4

We get that x = 6

Plug in x = 6 in x + 4 = 10.

6 + 4 = 10.

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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The percent of increase in motorcycle production is approximately 9.75%, and the percent of decrease in Sarah Walker's long-distance phone bills is approximately 42.07%.

To find the percent increase in motorcycle production, we use the formula:

Percent Increase = (New Value - Old Value)/Old Value x 100%

Plugging in the given values, we get:

Percent Increase = (318000 - 291500)/291500 x 100% = 9.75%

Therefore, the percent of increase in motorcycle production is approximately 9.75%.

To find the percent decrease in Sarah Walker's phone bills, we use the formula:

Percent Decrease = (Old Value - New Value)/Old Value x 100%

Plugging in the given values, we get:

Percent Decrease = (40.10 - 22.90)/40.10 x 100% = 42.07%

Therefore, the percent of decrease in Sarah Walker's long-distance phone bills is approximately 42.07%.

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Answer:

15 is greater than 10

Step-by-step explanation:

Good luck with Maths and other subjects!

Please mark Brainliest..:-)

The greatest common factor of 15 and 10 is 5

Answer:

8

Step-by-step explanation:

An easy way to solve this problem is by first finding 10%. To find 10% of any number simply move the decimal one place to the left. So 160.0 becomes 16.00. Then, because 5% is half of 10% to find the answer divide 16 by 2. Therefore, Sofia made 8 of her 160 free throws.

Mary's living room is rectangular and measures 27 feet by 36 feet.  Mary has walked 90 feet in total.

Mary strides the 27-foot length of the main room. She then does a 180-degree turn and walks the 36-foot breadth. After another 27 feet, she finally makes her way back to the corner where she began.

She has therefore traveled the following distance:

90 feet is equal to 27 feet in length, 36 feet in width, and another 27 feet for the return, i.e,

27 feet (length) + 36 feet (width) + 27 feet (return length) = 90 feet

Mary has now covered a total distance of 90 feet.

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Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

Hope this helps!

Please mark as brainliest if correct!

Have a great day!

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

Step-by-step explanation:

20% of 30 is 6

Words: 6 Students in Ms. Martin's class did not do their homework.

hope this helps :)

Answer:

\(y=\frac{3}{2}x+4\)

Step-by-step explanation:

So the line C equation is \(y=\frac{3}{2}x+2\) and line D is parallel to it and it passes through the point (4,10) and we need to ding the equation for line D.

So first we have a graph with line C listed and (4,10).

And we can keep listing more equations till we find the right one which is \(y=\frac{3}{2}x+4\).

So I got this by knowing that in parrelel lines the slope is the same but the y intercept changes which is why it was fast to find the answer.

Answer:

  y = 3/2x +4

Step-by-step explanation:

The given line is in slope-intercept form.

  y = mx + b

Comparing this form to your equation, we see ...

  m = 3/2 . . . . . . the slope of the given line

__

When you know the slope and a point on the line, it is convenient to use a point-slope form of the equation of a line to start with.

  y = m(x -h) +k . . . . line with slope m through point (h, k)

The slope of your parallel line is the same as the slope of the given line. So the required parameters are ...

  m = 3/2, (h, k) = (4, 10)

Putting those into the form, we have ...

  y = (3/2)(x -4) +10

Simplifying puts this in the required slope-intercept form.

  y = 3/2x +4

Answer:

the answer is Any Real Number

because  4(x + 1) = 4x + 4 for all value of x

Step-by-step explanation: