All 4 questions please

Answer:

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

Step-by-step explanation:

Required:

indefinite integral of  ∫ 9x √13 dx

To solve this, follow these steps:

(i) Place the constant values 9 and √13, at the front of the integral

9√13 ∫x dx

(ii) Now find the integral of x with respect to x by applying the power rule

9√13 [[tex]\frac{x^2}{2}[/tex]] + C

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C           [Where C is any constant]

Therefore the indefinite integral of the given expression is [tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

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Explanation:

Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either.  These numbers are either thrown in as filler or distraction.

We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"

Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.

Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer

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

As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase

1.82*21495 = 39,120.9 which rounds to 39,121

Answer:

24

Step-by-step explanation:

3^3+4-7

27+4-7

24

The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.

To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first

E - Exponents (i.e., powers and square roots, etc.)

MD - Multiplication and Division (left to right)

AS - Addition and Subtraction (left to right)

Start with the exponent:

3² = 3 × 3 = 9.

Next, perform the division:

8 ÷ 2 = 4.

Now, deal with the parentheses:

(4 + 3) = 7.

Finally, perform the addition and subtraction from left to right:

9 + 4 - 7

= 6.

So, the simplified expression is 6.

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Answer: 324

Step-by-step explanation: Firstly,  multiply 9x12. And that is 108. Since in the problem it says "Three times the sum" you would multiply 108 by three and get 324.

Answer:

Sure what class (algebra, triginometry etc...) and do you have discord

Step-by-step explanation:

There will be 4 times the number of M&M's to the number of sunflower seeds according to the ratio.

Using this, we can create a proportion.

[tex]\frac{4}{1}=\frac{2}{x}[/tex]

[tex]x=\frac{1}{2}[/tex]

There will be [tex]\frac{1}{2}[/tex] pounds of sunflower seeds needed, or 8 ounces.

Hope this helps.

頑張って!

Answer:

[tex]f(-3)=24[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=|4x-2|+10[/tex]

To find f(-3), substitute -3 for x:

[tex]f(-3)=|4(-3)-2|+10[/tex]

Multiply within the absolute value:

[tex]f(-3)=|-12-2|+10[/tex]

Subtract:

[tex]f(-3)=|-14|+10[/tex]

The absolute value of -14 is 14. Thus:

[tex]f(-3)=14+10[/tex]

Add:

[tex]f(-3)=24[/tex]

And we're done!

Answer:

-x,-y

180

Step-by-step explanation:

ED 2020

The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,

The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).

Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

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Answer:

A and D

Step-by-step explanation:

Given that the area of a square = 400 units² = s²

Where s is one side length of the square.

It means that the side length (s) = √400 = 20

If the length of each side length increase by 1 units, new side length = 21 units

Area of new square = 21² = 441

The following statements would be true if the side length was increased by 1 units:

A. "The area of the square would be a rational number"

441 is a rational number, because a rational number is a quotient of two integers.

441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441

D. "The area of the square would be a perfect square".

A number is considered a perfect square if it can be expressed as a product of two equal integers.

441 can be expressed as 21*21

Answ

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

15 dolls-

15 x 3 = 45 stuffed animals

45+18 = 63

Answer:

They are using public relations advertising

Answer:

Public relations.

Step-by-step explanation:

Because charity events can provide a company with publicity, which is part of public relations.

Answer:

The slope is 3.

Step-by-step explanation:

So we have the equation:

[tex]y=3x-2[/tex]

This is in the slope-intercept form, where:

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y-intercept.

From the original equation, m is 3 and b is -2.

In other words, our slope is 3.

So, the slope of the equation is 3.

And we're done!

Answer:

b. C and D are independent

c. A and D are independent

e. B and D are independent.

Step-by-step explanation:

The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.

Answer:

look at the picture to get the solution

Hope it helps

Answer: C

Square the binomial

The Simplification of the given expression : [tex]10n -n ^2 - 9[/tex]

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Brayden wants to simplify the given expression;

[tex]4n - (n -3)^2[/tex]

He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.

He should have done the following steps;

First square the term, then distribute the negative sign and then combine the like terms.

[tex]4n - (n -3)^2[/tex]

Simplification of the given expression:

[tex]4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9[/tex]

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Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

[tex]V=\frac{a^2\times h}{3}[/tex]

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

[tex]V=\frac{a^2\times h}{3}[/tex]

[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]

[tex]V=1500\text{ yards}^3[/tex]

Therefore, the volume of pyramid is 1500 cubic yards.

Answer:

(B) 1500 cubic yards.

Step-by-step explanation:

took usatestprep

Answer:

15 ounce bag is cheaper per ounce than 9.75 ounce bag.

Step-by-step explanation:

For this problem, you should simply take the cost divide by the size for each to find the price per ounce.

$3.98 / 15oz == $0.265 per ounce

$2.98 / 9.75oz == $0.306 per ounce

Note that the 15 oz bag is a better price per ounce than the 9.75 oz bag.

As to what bag you should buy, that really should depend on more factors than just what's best per ounce.  For instance, are you really hungry enough for 15 ounces of doritos, or will 9.75 do just fine?  Also, do you even have the extra dollar it would cost to buy the bigger bag?  Just some stuff to think about.

Cheers.

Answer:

963.584 is the answer.

Answer:

79

Step-by-step explanation:

So we have the function:

[tex]g(t)=t^2-2[/tex]

To find g(9), substitute 9 for t. Thus:

[tex]g(9)=9^2-2[/tex]

Square:

[tex]g(9)=81-2[/tex]

Subtract:

[tex]g(9)=79[/tex]

So, our answer is 79.

And we're done!

Answer:

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

given the following expression

[tex]3xy+21x+9[/tex]

From the expression above we can see that 3 is common to all the terms of the expression so that we have

[tex]3(xy+7x+3)[/tex]

hence the second option is the correct answer

Answer:

-5 is the answer Very easy

Answer:

Step-by-step explanation:

Hope this helped...

Any value that makes an equation true is a 'solution of that equation'.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.

So, The complete sentence is,

Any value that makes an equation true is a ''solution of that equation.''

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Answer:

Length = 12.75 feet

Width= 2.25 feet

Step-by-step explanation:

Let the length = x

Let the width= y

The length of a rectangular classroom floor is 6 feet more than twice the width

X= 6+2y

The perimeter is 30 feet.

Perimeter= 2(length+width)

Perimeter= 2(x+y)

30= 2x +2y

But x= 6+2y

30 = 2(6+2y) +2y

30= 12 +4y +4y

30-12= 8y

18= 8y

2.25 = y

30= 2x +2y

30= 2x +2(2.25)

30- 4.5= 2x

25.5= 2x

12.75= x

Length = 12.75 feet

Width= 2.25 feet

Answer:

d. x = 5

Step-by-step explanation:

Solve for x:

x - 3 = 7 - x

Hint: | Move terms with x to the left hand side.

Add x to both sides:

x + x - 3 = (x - x) + 7

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + x - 3 = 7

Hint: | Add like terms in x + x - 3.

x + x = 2 x:

2 x - 3 = 7

Hint: | Isolate terms with x to the left hand side.

Add 3 to both sides:

2 x + (3 - 3) = 3 + 7

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

2 x = 7 + 3

Hint: | Evaluate 7 + 3.

7 + 3 = 10:

2 x = 10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 10 by 2:

(2 x)/2 = 10/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 10/2

Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

Answer: x = 5

Answer:

The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...

Answer:

Yes, unless X is a perfect square, sqrt(X) is irrational

Step-by-step explanation:

The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]

Since the denominators are common then express as a single fraction

= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]

= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]

= [tex]\frac{4}{(m-4)^2}[/tex] → A