Mathematics High School

Which of the following is the solution set of -2|x| < -8

{x | -4 > x > 4} {x | -4 < x < 4} {x | x < -4 or x > 4}

Answers

Answer 1
-2|x|<-8
divide both sides by -2, don't forget to flip sign
|x|>4

when you have
|a|>b
assume
a>b and a<-b is trrue

|x|>4
assume
x>4 and x<-4

last one is answer

Related Questions

how does a balance sheet work?

Answers

Step-by-step explanation: A balance sheet is a statement of financial condition at a point in time. It includes assets, liabilities, and equity. The balance sheet demonstrates the overall health of a company. It can be used to obtain loans and more financing.

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.

The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.

The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid. ...?

Answers

The answer is The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid

The area of the circle with radius r is:
A = r²π

The base of the cylinder is a circle with area A = r²π.
The volume (3rd dimension) of the cylinder with radius r and height h is:
V = r²πh

Multiplying the area of the circular base A = r²π by the height of the cylinder:
V = A*h

Therefore, the third choice is correct.

The correct answer is statement (c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

The formula for the volume of a cylinder demonstrates how the area of a circle is used to find the volume of the cylinder. Specifically, the volume of a cylinder is given by [tex]\pi r^2h[/tex], where r is the radius of the base (a circle), and h is the height of the cylinder.

This means that the area of a circle [tex](\pi r^2)[/tex] is multiplied by the height (h) of the cylinder to obtain the volume. This clearly shows how the area of a circle is extended into three dimensions to derive the volume of a cylinder.

Complete question :

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

(a) The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
(b) The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
(c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.

Which expression can be used to find their least common multiple?
...?

Answers

2^2 x 3^2 is the answer... don't be rude and mark the other person bad she gave you a good explanation and fixed your question AND got the answer right... write you question correctly cause you probably just copied it and didn't fix it up!

Just do this for future questions!

Is there any rational numbers between 5/7 and 6/7 and why? ...?

Answers

There are *infinitely* many rational numbers between those two. But perhaps they want them evenly spaced? 

5/6 is equal to 35/42 
6/7 is equal to 36/42 

Halfway between would be the average: 
(35/42 + 36/42)/2 
= (71/42)/2 
= 71/84 

Then find the two numbers halfway between those. 

First convert 5/6 to x/84: 

5/6 = 35/42 = 70/84 

Halfway between 5/6 and 71/84: 

(70/84 + 71/84)/2 

= 141/168 


Reduce that: 

= 47/56 


Next convert 6/7 to x/84: 

6/7 = 36/42 = 72/84 


Halfway between 71/84 and 6/7: 

(71/84 + 72/84)/2 

= 143/168 


Answer: 

47/56, 71/84, 143/168

In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x+10, what is the measure of angle 2?

15

30

45

60

Answers

So here is how we are going to get the measure of angle 2. 
Since given that angle COE measures 55°, we will equate m∠2 = 2x and m∠3 = x+10 with 55. So, 55 = 2x + x + 10
55 = 3x + 10
55-10 = 3x
45 = 3x << divide both sides by 3 and the result is 
15 = x
So now that we know x, we can now solve for angle 2.
m∠2 = 2x
m∠2 = 2(15)
m∠2 = 30°
I hope that this is the answer that you are looking for. 

Answer:

The answer is 30

Step-by-step explanation

You gather what you know

COE = 55°, m∠2 = 2x, m∠3 = x + 10

Then you set up an equation using that information

2x + x + 10 = 55

Combine like terms

3x + 10 = 55

Find x

X= 15

Plug in "x = 15" to "2x" to find out what the measure of angle 2 is

2 x 15 = 30

Therefore m∠2 = 30

Multiply. write your answer in simplest form. 35/70

Answers

35/70= 7/14=1/2

1/2 is your answer

The number of cartoons X, watched by Mrs. Kelly's first grade class on Saturday morning is shown below.

X P(X)
0 0.15
1 0.20
2 0.30
3 0.10
4 0.20
5 0.05
Give the standard deviation for the probability distribution above.

Answers

The standard deviation σ is the square root of the variance:σ=V(X)−−−−−√=E(X2)−(E(X)2−−−−−−−−−−−−−√)where E(X)is the expected value of X. By definition,E(X)=∑x∈Dxp(x)where D is the values X may take (in this case D={0,1,2,3,4,5})and p(x)=P(X=x)is the probability that X equals x.Then,E(X)==0⋅p(0)+1⋅p(1)+2⋅p(2)+3⋅p(3)+4⋅p(4)+5⋅p(5)2.15.
Similarly,E(X2)==02⋅p(0)+12⋅p(1)+22⋅p(2)+32⋅p(3)+42⋅p(4)+52⋅p(5)6.75,soV(X)=6.75−2.15=4.6andσ=4.6−−−√≈2.144.

What do the sin 25 and cosine 65 have in common. Explain why this is true. ...?

Answers

They are the same, the both equal 0.07444175156. They are complimentary trigonometric ratios.

You are having a family-barbeque. in attendance are a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one father-in-law, one mother-in-law and one daughter-in-law. if every person is eating two burgers, what’s the minimum amount of burgers you will need?

Answers

Final answer:

To calculate the minimum amount of burgers you will need, count the number of individuals who will be eating and multiply it by 2. The Total burgers needed is 50 .

Explanation:

To calculate the minimum amount of burgers you will need, you need to count the number of individuals who will be eating. Let's count:

1 Grandfather

1 Grandmother

2 Fathers

2 Mothers

4 Children

3 Grandchildren

1 Brother

2 Sisters

2 Sons

2 Daughters

1 Father-in-law

1 Mother-in-law

1 Daughter-in-law

Adding all of these individuals, we get a total of 25 people. Since every person will be eating 2 burgers, we can calculate the minimum amount of burgers we will need by multiplying the total number of people by 2:

Total burgers needed = 25 people * 2 burgers per person = 50 burgers

Amanda has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 930 cans and bottles in her truck. Let x be the number of 14 -ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.

Answers


T(x)= 14x + 70(930-x)
Final answer:

The combined total weight of the cans and bottles in the truck, if x represents the number of 14-ounce cans, can be represented by the expression 14x + 70(930 - x). This combines the weight of the 14-ounce cans (14x) with the weight of the 70-ounce bottles (70(930-x)).

Explanation:

In order to find the expression for the combined total weight (in ounces) of the cans and bottles in the truck, we have to first determine the number of bottles. We know that the total number of cans and bottles is 930, so the number of bottles would be 930 - x. Each can weighs 14 ounces and each bottle weighs 70 ounces. Therefore, the total weight in ounces will be the sum of the weight of cans and the weight of bottles. This can be represented as 14x + 70(930 - x). This expression represents the combined total weight in ounces of the items in Amanda's truck.

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Simplify: (4xy^-2) / [ 12x^(-1/3) y^5]

Answers

the answer is
(4xy^-2) / [ 12x^(-1/3) y^5] =xy^-2 / 3 x^(-1/3) y^5=xx^(1/3)/3 y^5y^2=x^(4/3)/3y^7

Ella writes about 7 songs every 5 months. at this rate, how many songs could she write in 50 months?

Answers

song write in one month = 7/5
song write in 50 months = 7/5 × 50 = 70
70 song she writes in 50 months

A right triangle has a hypotenuse of 10 cm and one leg that measures 5 square 3 what is the length of the other leg

Answers

I hope this helps you

In what position would you find the 'leading' runner in a race? In what position do you suppose you would find the 'leading coefficient' in a polynomial?

Answers

Since the "leading" runner in a race would be found in the first position, because he or she is in the lead, it means they are first, then I suppose I would find the "leading coefficient" in the first place in a polynomial as well. 

When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?

Answers

6√90 = 2.11693286302546
So, this number to the power of six equals 90. 
2.11693286302546^6 = 90

The correct answer is 2.11693286302546. 

what is the distance between the points (5,-6) and ( 5,2)
A 1
B 3
C 4
D 8

Answers

The answer is D, 8, that's what I got

A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers. What is the probability that someone guessing all 3 answers will get 100% on the quiz?

...?

Answers

Chance of getting the true false question: 1/2Chance of getting a multiple choice question: 1/4Chance of getting the true false question AND the first multiple choice question AND the second multiple choice question: 1/2*1/4*1/4= 1/32

Answer:

1/32

Step-by-step explanation:

You're welcome

what are the binomial factors of the expression below? x^2-2x-15 Answers A. (x+3)(x+5) B. (x+3)(x-5) C. (x-3)(x+5) D. (x-3)(x-5)

Answers

Answer:

B.[tex](x-5)(x+3)[/tex]

Step-by-step explanation:

We are given that an expression

[tex]a^2-2x-15[/tex]

We have to find the binomial  factors of the given expression.

[tex]x^2-2x-15[/tex]

To find the factors of given expression we will use of  middle term splitting factor method.

The given can be written as

[tex]x^2-5x+3x-15[/tex]

[tex]x(x-5)+3(x-5)[/tex]

Taking (x-5) common

[tex](x-5)(x+3)[/tex]

Hence, the binomial factors of given expression is given by

[tex](x-5)(x+3)[/tex]

Option B is true.



Solve the problem.

When granular materials are allowed to fall freely, they form conical (cone-shaped) piles. The naturally occurring angle of slope, measured from the horizontal, at which the loose material comes to rest is called the angle of repose and varies for different materials. The angle of repose θ is related to the height h and base radius r of the conical pile by the equation θ = cot-1(r/h). A certain granular material forms a cone-shaped pile with a height of 19 feet and a base diameter of 30 feet. What is the height of a pile that has a base diameter of 104 feet?


Answers

If I'm reading that right the cotangent^-1 can also be written as 1/tan^-1 the cone forms a triangle with height 19 feet and base 15 giving you a side angle side triangle with which to find the angle theta and if I'm reading the problem right the theta is the same for both piles....in which case the new pile will have angle (theta) base 52 (.5 *104) angle 90

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

The angle of repose is calculated using the equation θ = cot-1(r/h). For a pile with a height of 19 feet and a base diameter of 30 feet, the angle of repose is approximately 38.03 degrees. Using this angle and the base diameter of 104 feet, we can find that the height of the new pile is approximately 77.07 feet.

The angle of repose θ is related to the height h and base radius r of the conical pile by the equation θ = cot-1(r/h).

Given a pile with a height of 19 feet and a base diameter of 30 feet, we can find its base radius by dividing the diameter by 2, which gives us a radius of 15 feet.

Now, we can substitute the given values into the equation to find the angle of repose θ.

θ = cot-1(15/19)

Using a calculator, we find that the angle of repose is approximately 38.03 degrees.

Next, we can use the height of the new pile and the known angle of repose to find its base radius.

Given a base diameter of 104 feet, the radius is half of the diameter, so the radius is 52 feet.

Now, we can use the equation θ = cot-1(r/h) and solve for h to find the height of the new pile.

h = r / tan(θ)

Substituting the known values, we get:

h = 52 / tan(38.03)

Using a calculator, we find that the height of the pile with a base diameter of 104 feet is approximately 77.07 feet.

The solution to w/-7 = -21 is 3.

True
False

Answers

false because -21/-7=w is 3 and 3/-7 cannot be -21

HELP ASAP!!
given the function f (x)=2x-5 over 3 , which of the below expressions is correct ?

Answers

I hope this helps you




y=2x-5/3



3y=2x-5


3y+5=2x


x=3y+5/2


f^-1 (x)=3x+5/2

hey :)
the answer is the third one

What is the value of x in the equation 4x − 17 = 65? start fraction 41 over two end fraction −12 12 −start fraction 41 over two end fraction

Answers

4x-17=65
+17 +17
4x=82
---- ----
4 4
x=20.5 or 82/4 or 41/2

hope that helps
the answer is x=20.5 or 41/2 or 82/4

HELP ME PLEASE
True or False? In a two-column proof, the right column states your reasons.


This is an example if you'd like to see one:

Answers

I think its true. Tell me if its wrong because i'm not 100% sure. 
Answer: true

100% sure it is true.

The example attached by you shows it very well. The left column goes step by step from the first statement until the conclusion and in the right side you have the justification (reasons) that supports the statement.

The reference angle for an angle whose measure is -440 is _____. 60 80 100

Answers

80 is correct. 
-440+360 = 80
Answer:

The reference angle for an angle whose measure is -440 is  80.

Step-by-step explanation:

Reference angle--

It is the angle which is made from the terminal side of the given angle and it is always made by taking x-axis as a reference.

Here we are given a angle whose measure is:

   -440.

This means that the angle covers more than one rotation and ends in the fourth quadrant.

Hence, the reference angle is:

-440+360=80

If g(x)+xsin(g(x))= x^2 find g'(0) ...?

Answers

Differentiating implicity gives 

g'(x) + xcos(g(x))(g'(x)) + sin(g(x)) = 2x 

g'(x)[1 + xcos(g(x))] = 2x - sin(g(x)) 

g'(x) = [2x - sin(g(x))] / [1 + xcos(g(x))] 

g'(0) = -sin(g(0))


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

We want to find the g'(0) by knowing that:

g(x) + x*sin(g(x)) = x^2

We will get:

g'(0) = 0

First, we can see that:

g(0) is given by:

g(0) + 0*sin(g(0)) = 0^2

g(0) = 0.

Now let's derive this, we can rewrite:

g(x) = x^2 - x*sin(g(x))

Now we just differentiate to get:

g'(x) = 2*x - sin(g(x)) - x*cos(g(x))*g'(x)

Now we need to move all the terms with g'(x) to the left side:

g'(x) + x*cos(g(x))*g'(x) = 2x - sin(g(x))

g'(x)*(1 +  x*cos(g(x)) =  2x - sin(g(x))

g'(x) = ( 2x - sin(g(x)) )/(1 +  x*cos(g(x))

Now we just need to evaluate this in x = 0, so we get:

g'(0) = (2*0 - sin(g(0)))/(1 + 0*cos(g(0)) = -sin(g(0))

And remember that g(0) = 0 then:

g'(0) = -sin(0) = 0

g'(0) = 0

If you want to learn more, you can read:

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What is the value of the expression?

Drag and drop the answer into the box to match the expression.
2.54+(−1.66)

Answers

2.54-1.66
0.88
the answer is 0.88

Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1 hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn. 
Which best describes the reasonableness of their solution? Their estimate is longer than the time it will actually take: Their estimate is accurate: Their estimate is shorter than the amount of time it will actually take: Their estimate is longer than the time it will actually take: 

Answers

Answer:

The correct answer is:

      Their estimate is longer than the time it will actually take.

( Since, Estimated time-- 1 hour=60 minutes

Time actually taken= 28.125 minutes )

Step-by-step explanation:

Time taken by Shandra alone to mow the field is: 45 minutes.

Time taken by Kelly alone to mow the field is: 1 hour 15 minutes.

We know that:

1 hour=60 minutes

Hence, 1 hour 15 minutes=60 minutes +15 minutes=75 minutes.

By looking at the time we consider that the total work be of 225 units.

This means that the Efficiency of Shandra is: 225/45=5 units/minutes.

Similarly,

Efficiency of Kelly is: 225/75=3 units/minutes.

Now, when they will work together there efficiency will be added.

Hence, 5+3=8

Hence, the time taken by both of them when they work together is:

225/8

= 28.125 minutes.

But it was estimated that they took 1 hour=60 minutes.

Hence, there estimation of time taken was longer than what they actually took.

a city bus company sold 39 one-way tickets and 20 round-trip tickets from west elmwood to east elmwood. one-way tickets cost $14. round trip tickets cost $35. how much money did the bus company collect

Answers

39 * 14 + 20 * 35 = $1246

In the number 956 ,783,529 how does the value of the digit 5 in the ten millones place compare to the digit 5 in the hundred place?

Answers

the 5 in the ten millions place is much larger
50M>500
956,783,529-500=956,783,029
956,783,529-50M=906,783,529
50M/500=100000
=>50M is 100,000 times larger
500=5^3×2^2


What are the first 20 digits of pi?

Answers

3.1415926535897932384

hope this helps. c:
Final answer:

The first 20 digits of pi are 3.1415926535897932384. It's an irrational number used in many mathematical calculations and its decimal representation never ends or repeats.

Explanation:The first 20 digits of the mathematical constant pi (π) are 3.1415926535897932384. Pi is an irrational number, meaning it cannot be expressed exactly as a fraction, and its decimal representation never ends or repeats.It not only appears in geometry and trigonometry, but also in various fields of mathematics and science. Its value is usually approximated as 3.14 or 3.14159 in most mathematical and scientific calculations.

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