Find the value of c guaranteed by the Mean Value Theorem for Integrals for the function x^2+1 on the interval [3,6].

Answer:

-4

Step-by-step explanation:

Answer:

4(3x-10)

Step-by-step explanation:

12x-40 = (4*3)x-(4*10) = 4(3x-10). The GCF is 4.

Answer: The probability that the state will be hit by a major tornado two years in a row is 0.00309.

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

9x-6=3x+12

6x=18 |:6

x=3

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

The Peso is used in Mexico

The simplified expression is adbc - bc - abd√c - b√ad√c + acd√b + cd√ab.

In mathematics, the distributive property is a property of operations that involves multiplying a factor by a sum or difference of terms. The distributive property states that the product of a factor and a sum or difference of terms is equal to the sum or difference of the products of the factor with each term individually. In other words, for any numbers a, b, and c, the distributive property can be expressed as:

a(b + c) = ab + ac

Given expression

(a√b+c√d)-b√a)×(d√c-√ab+abc)

Simplifying the expression

(a√b+c√d-b√a)×(d√c-√ab+abc)

by simplifying the given expression using the distributive property of multiplication:

(a√b+c√d-b√a)×(d√c-√ab+abc)

= adbc + acd√b - abd√c - b√ad√c + cd√ab - bc

= adbc - bc - abd√c - b√ad√c + acd√b + cd√ab

Therefore, the simplified expression is adbc - bc - abd√c - b√ad√c + acd√b + cd√ab.

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Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

\(2\pi r\)

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

\(2\pi r=\\2\pi *4=\\8\pi\)

\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

9514 1404 393

Answer:

  x = -2 and x = 1/3

Step-by-step explanation:

The simple way to solve this is to enter the equation into a graphing calculator and have it show you what the zeros are.

The solutions are x = -2 and x = 1/3.

__

One way to solve this is to factor it. The product of the leading coefficient and the constant is (3)(-2) = -6. You want to find factors of this number that have a sum equal to the coefficient of the linear term: 5.

  -6 = (-1)(6) = (-2)(3) = ...

The first pair of factors listed here has a sum of 5, so we can rewrite the equation as ...

  3x^2 -x +6x -2 = 0

Factoring pairs of terms, we have ...

  x(3x -1) +2(3x -1) = 0

  (x +2)(3x -1) = 0

The solutions are the values of x that make these factors zero:

  x + 2 = 0   ⇒   x = -2

  3x -1 = 0   ⇒   x = 1/3

The solutions are x = -2 and x = 1/3.

Answer: A translation 1 unit to the left

Step-by-step explanation:

See attached image.

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

x = 12

Step-by-step explanation:

by direct solution

otherwise this system many solution

Answer:

one

Step-by-step explanation:

4x+8=-4+5x

or, 5x-4x = 8+4

hence,

x=12

The probability of pulling out 2 red marbles from the bag without replacement is 1.026.

What does a probability simple definition entail?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability of picking one red marble among all of them is

P(R1)  =  19/36

P(R2) =  18/35

P(R1 ∩ R2) = P(R1)*P(R2) = (19/36)*(18/35) = 665/648 = 1.026

The probability of pulling out 2 red marbles from the bag without replacement is 1.026.

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Answer:

q = 4

Step-by-step explanation:

4q + 4 = 20

or, 4q = 20 - 4

or, q = 16/4

or, q = 4

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Answer:

since equation a has -x on one side just add x to both sides to get rid of the -x and since you do it to both sides you maintain balance

Step-by-step explanation:

Answer:

4x+x=6-2

5x=6-2

5x+2=6

Step-by-step explanation:

Answer:

(D) 18ft per second

Step-by-step explanation:

the average of the height of the ball is increasing from t=0 to t=2.

............, .......

Answer:

Yes

Step-by-step explanation:

First, find the radius of the circle. If the center is at the origin, and (0, 5) lies on the circle, then the radius is 5 units.

Use the distance formula to see if the distance between (-3, -4) and (0, 0) is equal to 5, if it is, then it will lie on the circle.

\(\sqrt{(-3 - 0)^2+ (-4 - 0)^2}\) = d

\(\sqrt{9 + 16}\) = d

\(\sqrt{25}\) = d

5 = d

So, the point is on the circle.

Answer:

5, 5, yes

Step-by-step explanation:

Answer:

C. DIvide both sides by -6 to get 1/9.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

1/5

Step-by-step explanation:

Chance is also referred to as probability

probability = Number of event/Total samples space

If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space

Sample space = 6 + 8 + 2 + 4

Sample space = 20socks

Total number of blue socks is the event

Number of event = 4 blue socks

Chance that the socks is blue = n(E)/n(S)

Chance that the socks is blue = 4/20

Chance that the socks is blue = 1/5

Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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If the price is reduced to $11.40 the number of DVDs sold will be 1177.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a video store manager observed that the number of DVDs sold seems to vary inversely to the price per DVD. If the store sells 710 DVDs per week when the price per DVD is $18.90.

The number of DVDs sold for $11.40 will be calculated by forming the inverse equation for the number of DVDs.

N = K / P

Here, N is the number and P is the price and K is the inverse constant.

The value of K will be,

K = N x P

K = 18.90 x 710

K = 13419

The number of DVDs for $11.40 will be,

N = K / P

N = 13419 / 11.40

N = 1177

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Answer:

A. 9.9%

Step-by-step explanation:

\( {e}^{14r} = 4\)

\( ln(4) = 14r\)

\(r = \frac{ ln(4) }{14} = .099 = 9.9\%\)

We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.

JL = JK + KL

Let's plug the expressions from the picture into the equation above.

2x + 8 = 2x - 2+ x - 9

Combine like terms

2x + 8 = 3x - 11

Add 11 to both sides and subtract 2x from both sides.

19 = x

KL = x - 9 = 19 - 9 = 10

In conclusion,

The value of x = 19

The length of line segment KL is 10

Answer:

x=38

Step-by-step explanation: