integration of sin3xsinx

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

From the question, we have the following parameters that can be used in our computation:

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

MARK HIM BRAINLIEST

Step-by-step explanation:

Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

The first three terms of the Sequence are -2, 1, 6 and the tenth term is 97.

Given that the nth term of a sequence is n squared - 3.

We can find the first three terms by substituting n = 1, 2, and 3 into the formula.

When n = 1, the first term is:

a1 = 1² - 3 = -1

When n = 2, the second term is:

a2 = 2² - 3 = 1

When n = 3, the third term is:

a3 = 3² - 3 = 6

Therefore, the first three terms of the sequence are: -2, 1, 6.

To find the tenth term, we substitute n = 10 into the formula.

a10 = 10² - 3 = 97

Therefore, the tenth term of the sequence is 97.

In summary, the first three terms of the sequence are -2, 1, 6 and the tenth term is 97.

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Answer:

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

Answer:

C. (x + 8) (x + 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:

\(x^2 + 15x + 56\)

\(x^2 + 7x + 8x + 56\)

Group:

\((x^2 + 7x) (8x + 56)\)

Take out the GCF (Greatest Common Factor):

x(x + 7)  8(x + 7)

(x + 8) (x + 7)

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

4(1unit)

3(2unit)

2(3unit)

1(4unit)

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total 10 line segmant  

Step-by-step explanation:

The joint frequency of adults who voted for chocolate is given as follows:

0.1148.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

A joint frequency is calculated considering a combination of two events.

In the context of this problem, we have that out of 122 people, there are 14 adults who voted for chocolate, hence the joint frequency of adults who voted for chocolate is obtained as follows:

14/122 = 0.1148.

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Solution :

According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.

Now this is considered as a joint event. This is because the above statement consists of two events.

1. Video games are sold in the United States.

2. Women purchased video games.

The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.

Answer:

C. 8x²+x+3.

Step-by-step explanation:

A and B are not polynomials as they contain a division (A) and a square root (B).

D is a monomial ( just one term).

oc.8x²+x+3

Step-by-step explanation:

Which of the following is a polynomial?

OA. 5+x2²/X

OB. √x+2x-1

OC. 8x²+x+3

OD. 7x

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Yes, Jamal expectation is reasonable, because difference = 26.4 seconds is quite a short time. So the expectation is reasonable.

Jamal can run 1 mile in 5.05 minutes.

And expected to run 5 km in 15.25 minutes,

We need to find if this is true.

Therefore, we must determine whether he can genuinely run 5 kilometers in 15.25 minutes.

The relationship between speed, distance and time are,

Speed and time are directly proportional to distance. Also, speed is inversely proportional to time.

Distance = speed * time

So,

We can write,

1 mile = 1609 m

Then,

5 km = 5000 m.

So, 5 km = 5000 m × 1mile/1609 m

5 km = 5000/1609 mile

Also, Jamal runs a mile in 5.05 minutes, so

The time it takes to run 5 km = 5000/1609 mile

So,

We can write,

= 5000/1609 mile × 5.05 minutes/1 mile

= 25,250/1609 minutes

= 15.69 minutes.

Since our calculation shows that Jamal runs a 5 kilometer race in 15.69 minutes,

The expectation that he will break the record in 15.25 minutes is reasonable.

He can only break the record if he runs faster

So,

There is a difference = 15.69 - 15.25 minutes

= 0.44 minutes

= 0.44 × 60

difference = 26.4 seconds

Therefore,

Difference = 26.4 seconds is quite a short time. So the expectation is reasonable.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

9/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or:                                 15 cm^2

The bottom has the same area:                                      15 cm^2

Each of the ends has the area (3 cm)(2.5 cm):                7.5 cm^2

                                                                                           7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm)                12.5 cm^2

                                                                                            12.5 cm^2

                                                                                        -------------------

                                                                                             70 cm^2

The total lateral area is 70 cm^2

Answer:

15cm2

Step-by-step explanation:

May this answer help you

Answer:

it is 25÷b for this question.

The area of the rectangle is the product of the dimensions :

Given:

rectangular room 18 ft by 14 ft

so, the area = 18 x 14 = 252 ft^2

So, we need 252 square feet

Answer:

64 3/4

Step-by-step explanation:

Answer:

https://www.tiger-algebra.com/drill/2x~4-6x~3-x~2_3x/

Answer: 45

Add x and 3x to get 4x. A line is equal to 180 degrees, so 180/4x which will get you 45.

Answer: D

Step-by-step explanation: It said the grandparents were less than 89 years old, if it said that the grandparents that were 89 and younger had remembered that's when you would use a solid circle because the 89 would be included. But since 89 isn't included then it's an open circle.

Answer:

Null and alternative hypothesis:

\(H_0: \mu=0.05\\\\H_a:\mu< 0.05\)

The alternative hypothesis is the one that needs evidence to be supported, while the null hypothesis is the one that can be nullified (reject).

Only if there is enough evidence that thickness is less than 0.05 the null hypothesis will be rejected and the alternative hypothesis claim supported.

A Type I error happens when a true null hypothesis is rejected. In this case we will be purchase a order that is not fulfilling the thickness required.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, the order has a thickness significantly smaller than 0.05, but the sample gives no enough evidence and the order will not be purchased.

Step-by-step explanation:

A hypothesis test to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.05 mm will have the following hypothesis:

\(H_0: \mu=0.05\\\\H_a:\mu< 0.05\)

The alternative hypothesis Ha will state that the true mean is significantly smaller than 0.05, while the null hypothesis H0 will state the opposite: that the true mean is not significantly smaller than 0.05.

The alternative hypothesis is the one that needs evidence to be supported, while the null hypothesis is the one that can be nullified (reject).

Only if there is enough evidence that thickness is less than 0.05 the null hypothesis will be rejected and the alternative hypothesis claim supported.

EXPLANATION

In a two-way table probability, we need to examine the relationship between two categorical variables. In this case, we have a conditional probability.

We first need to fill in the total quantities in the boxes:

Now, in order to get the number of students we need to apply the following equation:

Where the desired outcomes represent the total number of studentes in the column "Seniors" and all the possible outcomes is equal to the total number of students.

Plugging in the terms into the equation:

Simplifying:

Rounding to the nearest whole percent:

In conclusion, the solution is 17%

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer:

hey dude, sorry if this is wrong but i think its 6cm

Step-by-step explanation:

Answer: 10,000

Step-by-step explanation: here's how I got my answer:

Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.

So, 1/2 * 10 =1/2

So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.

Let x represent the amount of money Gloria  earned mowing lawns.

We have been given that Gloria earned a total of $810 over the summer. She earned $162 babysitting and the rest  from mowing lawns.

The total amount earned by Gloria would be amount earned from baby sitting and lawn mowing that is \(x+162\).

Now we will equate total earnings of Gloria by 810 as:

\(x+162=810\)

\(x+162-162=810-162\)

\(x=648\)

Therefore, Gloria earned $648 from mowing lawns.

Answer:

Gloria earned $648 from mowing lawns

Step-by-step explanation: