find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative.) f(x) = x2 − 7x 3

D.0.125

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Step by Step Exlaination:

A spinner is divided into 8 parts.

Numbered as 9 to 16.

S={9,10,11,12,13,14,15,16}

n(S)=8.

A:probability of getting reater than 15.

A={16}

m(A)=1

p(A)=m(A)/n(S).

      = 1/8.

      =0.125

p(A)=0.125

Probability of getting greater than 15 is 0.125

Learn more about this question here:

https://brainly.com/question/2684863

#SPJ1

Answer: The correct answer is B.

Step-by-step explanation:

In a line with a slope of 0 the x can change but the y cannot in a (x, y).

Answer:

the slope is zero because anything times 0 is zero

Step-by-step explanation:

Answer:

\(6^{2}\)

Step-by-step explanation:

When dividing numbers with same bases with indices this is the rule:

\(\frac{x^{y}}{x^{z} } =x^{y-z}\)

So the answer is:

\(6^{7-5} = 6^{2}\)

Answer:

√5 (6-4√3)

6√5 -4√3 ×√5

6√5 -4√15

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points

The mean of the dataset is defined the sum of all values divided by the total number of values. Therefore mean can be expressed as;

mean = sum of items/number of items

The mean value of Eagles = (3 + 24 + 14 + 27 + 10 + 13 + 10 + 21 + 24 + 17 + 27 + 7 + 40 + 37 + 55)/15

= 310/15 = 20.67

The mean value of falcons = (24 + 24  + 10 + 7 + 30 + 28 + 21 + 6 + 17 + 16 + 35 + 30 + 28 + 24 + 14)/15

= 314/15 = 20.93

Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.

Read more about Mean of data at: https://brainly.com/question/1136789

#SPJ1

Mr. Titus travels a total of 7476 miles annually between Charlotte, North Carolina, and New York City.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that twelve times a year, Mr. Titus makes the trip from Charlotte to New York City and back. Each round trip covers a total distance of 623 miles.

The total distance will be calculated as:-

Distance = 12 x 623

Distance = 7476 miles

Therefore, Mr. Titus' annual mileage between Charlotte, North Carolina, and New York City is 7476 miles.

To know more about an expression follow

https://brainly.com/question/28736515

#SPJ9

Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

Learn more about AA Similarity Theorem on:

https://brainly.com/question/21247688

#SPJ1

Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

In order to calculate the composite function (gow)(x), that is, g(w(x)), we need to use w(x) as the input (value of x) in the function g(x).

So we have:

Now, calculating (wog)(x), we have:

Answer:

5.48

Step-by-step explanation:

Given length of three strings:

\(\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches\)

To find:

The difference in length between the longest and the shortest string?

Solution:

First of all, let us compare the given three decimal numbers.

We check the number before decimal first of all.

We can see that the numbers are 7, 3, and 2.

7 being the largest \(L_1\) is the longest string.

2 being the smallest \(L_3\) is the shortest string.

So, the difference is:

\(L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }\)

So, the answer is 5.48.

Answer:

You should support him or her

Step-by-step explanation:

Answer:1. Do not go near the mom

2 stay your distance from your friend

3 just say u feel bad for them

4 check your self for the disease

Step-by-step explanation:

Nathan's salary is $48 and Will's salary which three times of Nathan's salary is $144.

What is salary?

An employment contract may include a salary clause as a type of recurring payment from an employer to an employee. In contrast, piece wages are paid separately for each job, hour, or other unit rather than on a regular schedule. Salary can also be seen from the perspective of operating a corporation as the expense of obtaining and keeping employees to carry out operations; this is known as a personnel expense or salary expense. Payroll accounts are used in accounting to record salaries.

It is given in the question that Will's salary is three times Nathan's salary.

So, lets assume that Nathan's salary is X it implies that Will's salary will be 3 times X = 3X

Together they earn $ 192.

So,

X + 3X = 192

4X = 192

X = 192/4

X = 48

Therefore, Nathan's Salary is $48

Since, Will's salary is 3 times of Nathan's salary,

So,

Will's salary = 3 (48) = 144

Therefore, Will's Salary is $144

To know more about salary calculation, go to link

https://brainly.com/question/24988098

#SPJ9

\(\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)\)

\(\\ \rm\Rrightarrow 26+6b\geqslant 6b+8\)

\(\\ \rm\Rrightarrow 6b-6b\geqslant 8-26\)

\(\\ \rm\Rrightarrow 0\geqslant -14\)

Hence

It has no solutions

Answer:

A. All Real Numbers

Step-by-step explanation:

26 + 6b ≥ 2(3b + 4)

~Simplify

26 + 6b ≥ 6b + 8

~Subtract 26 to both sides

6b ≥ 6b - 18

~Subtract 6b to both sides

0 ≥ -18

Best of Luck!

Answer:\(20\sqrt{7}\)

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

An acute angle has a measure of less than 90 degrees.

Answer:

75°

Step-by-step explanation:

acute angle is an angle less than 90°

Answer:

V≈12308.8

Step-by-step explanation:

V=πr2h

V=(3.14)(14)2(20)

R=14cm

H=20cm

π=3.14

The number of people living in Nicaragua is 5.5 million and it can be determined by using the last year's approximation of the last year's population count.

We have to determine, how many people live in Nicaragua?

According to the question,

In the year 2021, the population of Nicaragua is around 6.5 million people, said state increases progressively since its 1960 data when its population was estimated at 1.7 million.

By 2008, the average population of Nicaragua reached 5.5 million people, therefore, taking into account the question and depending on the date on which said the question was asked, the closest option is 5.5 million people.

Hence, The people living in Nicaragua is 5.5 million.

For more details about Approximation refer to the link given below.

https://brainly.com/question/723524

Answer:

B- 5.5 Million

Step-by-step explanation:

In the video she says its like New York, but with 5 Million people.

The linear equation perpendicular to 6x-y=7 and that passes through (-6, -1) is:

y = (-1/6)*x - 2

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the slopes is equal to -1.

We want to find a line perpendicular to:

6x - y = 7

y = 6x - 7

Where the slope is 6.

Then:

a*6 = -1

a = -1/6

Then our line is something like:

y = (-1/6)*x + b

To find the value of b, we use the fact that our line passes through (-6, -1), then:

-1 = (-1/6)*-6 + b

-1 = 1 + b

-1 - 1  =b

-2  =b

The line is y = (-1/6)*x - 2

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

6 1/4

Step-by-step explanation:

5/(4/5) is equal to 5 x the reciprocal of 4/5, so it would be:

5 x 5/4 = 25/4 = 6 1/4

Answer:

Area of his yard = 19680ft²

Fertilizer needed = 590.4 ounces

Step-by-step explanation:

Step 1 Find the area of his lawn

The question states that his lawn is a rectangle that measures 240 feet by 82 feet

To find the area of a rectangle we simply multiply the side lengths

Hence, area of his yard = 240 * 82 = 19680ft²

Step 2 find amount of fertilizer needed.

The question states that .03 ounces is used per square foot.

So to find the amount of fertilizer needed simply multiply total area by amount used per square foot.

19680 * .03 = 590.4

So we can conclude that John will need 590.4 ounces of fertilizer

Answer:

the answer is c 253.5

Step-by-step explanation:

6.5×6.5+6.5×6.5+6.5×6.5+6.5

×6.5+6.5×6.5+6.5×6.5

=253.5

Answer: 565.70

Step-by-step explanation:

Answer:

1. 132.5

2. 724.53

3. 7.07

4. 132.26

Hope this helps! If it does pls mark my ans as a brainliest

The expression can be  classified  by its degree and number of terms as:

The degree of a expression can be described as the highest power of the variable which can be found  in the expression.

In the case, whereby there is more than one variables in an  expression  then the degree is the highest sum of powers of the variables .

For instance, in the third expression:

\((x^{2} + 9)(x^{2} -9)\\\\=x^{4} -9x^{2} +9x^{2} -81\\\\x^{4} -81\)

Here, the degree which is the number on the X is 4, and the term here is just 2.

This can be done for all the given expression to get the degree as well as the number of terms.

Learn more about expression on:

https://brainly.com/question/723406

#SPJ1