3x2 - 2x = 0
Factorise and solve

Answer:

52.5 ft squared

Step-by-step explanation:

You just multiply each side to get volume.

Answer:

90 to 150

Step-by-step explanation:

5+3=8

240÷8=30

30×3=90

30×5=150

Answer:

90 to 50

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

7x + 2x =90 (being perpendicular)

9x =90

x =90/9

x =10

substiute the value of x

7x

=7*10

=70

2x

=2*10

=20

Answer:

x = 10

Step-by-step explanation:

See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.

Therefore, if we were to write it out:

2x + 7x = 90

(vertically opposite angles)

       9x = 90

     ∴  x = 10

Answer:

angle B is 45 degree.

Step-by-step explanation:

since both radius are equal in a circle the triangle formed is ann isosceles triangle.

base angle of an isosceles triangle are equal

angle B be x

angle A = angle B (being base angles of a triangle)

then angle A is also x

angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)

x + x + 90=180

2x =180-90

x=90/2

x=45 degree

Answer:

AB ≈ 11.17 m

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{80}{360}[/tex]

    = 2π × 8 × [tex]\frac{8}{36}[/tex]

    = 16π × [tex]\frac{2}{9}[/tex]

    = [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )

Answer:

She is born with it. So be nice to here and don't talk about here lisp. If you do you would become here favorit. Don't talk bad about here behind here back.

Step-by-step explanation:

Lisp is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today. Only Fortran is older, by one year.

Answer:

Where is the equation?

Step-by-step explanation:

Answer:

I don't understand

Step-by-step explanation:

Are you Issac?

What is the question?

Answer:

158

Step-by-step explanation:

The cost of the minimum spanning tree to connect all four landmarks will be $158.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The cost to make a path connecting all four landmarks is based on the proposal shown.

The cost of path A is $29.

The cost of path B is $59.

The cost of path C is $32.

The cost of path D is $38.

Then the cost of the minimum spanning tree to connect all four landmarks will be

Total cost = cost of path A + cost of path B + cost of path C + cost of path D

Total cost = $29 + $59 + $32 + $38

Simplify the expression, then we have

Total cost = $29 + $59 + $32 + $38

Total cost = $158

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Answer:

The answer is C

Step-by-step explanation:

3    :    4

^          ^

II          II

red    blue

Answer:

P = 7.7 C + 1.1 XC

Step-by-step explanation:

From the question, it is noted that the price of helium required to fill each of the balloons would increase by 10%. Let the current price of helium be C, so that;

10% of C = 0.1 C

The price of helium next year = C + 0.1 C

                        = 1.1 C

Cost of 7 small balloons = 1.1 C * 7

                         = 7.7 C

Cost of X large balloons = 1.1 C * X

                         = 1.1 XC

The total price, P for helium next year = 7.7 C + 1.1 XC

Thus, the equation to find the total price of helium that would fill the balloons next year is;

P = 7.7 C + 1.1 XC

Answer:

300 miles

Step-by-step explanation:

425 / 17 = 25

25×12=300

Answer:

Yes, this graph represents a function

Step-by-step explanation:

The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.

Answer:

The graph does represent a function

Step-by-step explanation:

The function is at about 30y = x^3

Answer:

40.2667

Step-by-step explanation:

P(X=36)= 36/120

P(X=40)= 40/120

P(X=44)=44/120

E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667

hope this helps

If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A school class of 120 students is driven in 3 buses to a symphonic performance.

There are 36 students on one of the buses, 40 on another, and 44 on the third bus.

From the data given:

Let X be the total number of passengers on the bus carrying that randomly selected student,

Total number of students = 120

Let:

Probability:

P(X = 36) = 36/120

Probability:

P(X = 40)= 40/120

Probability:

P(X = 44)=44/120

E(X) = 36(36/120) + 40(40/120) + 44(44/120)

E(X) = 1208/30

E(X) = 40.26

Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.

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Answer:

3 miles

Step-by-step explanation:

5-1+2=3

From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m

This theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Using the pythagoras theorem

BC² = AB² + AC²

The sides of the triangle are x, x - 1 and 5

x² = (x-1)² + 5²

x² = (x-1)(x-1) +25

x² = x²-x-x -1 + 25

collect like terms

2x = 24

divide through the equation by 2

x = 24/2

= 12m

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Answer:

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Step-by-step explanation:

Answer:

a) 0.001 = 0.1% probability that she will get five questions correct.

b) 0.0156 = 1.56% probability that she will get at least four questions correct.

c) 0.2373 = 23.73% probability that she will get no questions correct.

d) 0.8965 = 89.65% probability that she will get no more than two questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she gets it correct, or she does not. The probability of getting a question correct is independent of any other question, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

There are five multiple choice questions on the exam.

This means that [tex]n = 5[/tex]

She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

a. Five questions correct?

This is [tex]P(X = 5)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001[/tex]

0.001 = 0.1% probability that she will get five questions correct.

b. At least four questions correct?

This is:

[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146[/tex]

[tex]P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.0146 + 0.001 = 0.0156[/tex]

0.0156 = 1.56% probability that she will get at least four questions correct.

c. No questions correct?

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]

0.2373 = 23.73% probability that she will get no questions correct.

d. No more than two questions correct?

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]

[tex]P(X = 1) = C_{5,0}.(0.25)^{1}.(0.75)^{4} = 0.3955[/tex]

[tex]P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2373 + 0.3955 + 0.2637 = 0.8965[/tex]

0.8965 = 89.65% probability that she will get no more than two questions correct.

Answer:

The answer is 0.5

Answer:

rhe answer is r= .50

Step-by-step explanation:

125-75=50

Answer: x=3

Step-by-step explanation:

First we're going to get rid of the fraction by multiplying both sides by the square root of x-2

Now square both sides

[tex](\sqrt{3x })^2=3^2(\sqrt{x-2 })^2\\3x=9(x-2)[/tex]

Next use the distributive property

[tex]3x=(9)(x)-(9)(2)\\3x=9x-18[/tex]

Now subtract 9x from both sides

[tex]3x-9x=9x-18-9x\\-6x=-18[/tex]

Finally divide -6 on both sides

[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\x=3[/tex]

Answer:

20x² + 40y²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4x(2x + 3x) + 5y(5y + 3y)

Step 2: Simplify

Answer:

20 x ² + 40 y ²

Step-by-step explanation:

4 x ( 2 x + 3 x ) + 5 y ( 5 y + 3 y )

Combine likes term

4 x ( 5 x ) + 5 y ( 8 y )

multiply, we get

20 x ² + 40 y ²

Answer:

See image below for answer:)

Step-by-step explanation:

The inequality b < - 1.4 written as interval notation is b ∈ (- ∞, - 1.4).

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality b < - 1.4.

We know in interval notation if x is greater than a and less than b we write

a < x < b.

Therefore, The inequality b < - 1.4 can be written as,

- ∞ < b < - 1.4 Or b ∈ (- ∞, - 1.4).

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Answer:

16 3/2

Step-by-step explanation:

So lets go thru each one.

16 3/2 is just 17.5

A square root cancels out a square.

A cubed root cancels out a cube.

So, in the next answer:

16 squared, to the square root is just 16, since the squaring and root cancels out.

64 sqaured to the cube root must be 16. Lets break it all down:

2^6=64.  We need to square this, so we can rewrite it as:

64^2 = [tex](2^6)^2[/tex]

Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:

[tex]\sqrt[3]{2^1^2}[/tex]

Now, when we divide a exponent by a exponent, we subtract.

However, when we root a exponent, it is division.

So it is the 2 [tex]\frac{^1^2}{^3}[/tex]

=

[tex]2^4[/tex]

Or

16

Finally we have the cubed root of 8^4.

using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]

Then again, we cube root it.

This is division of the 12 exponent by the 3 root, so we get:

[tex]2^4[/tex]

=

16

So in the end:

A - 17.5

B - 16

C - 16

D - 16

So a is the largest number

Hope this helps!

Answer:

84

Step-by-step explanation:

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Answer:

the answer to the system of equations is (-8,-4).

Answer:

B. (-4, -8)

Step-by-step explanation:

y = 1/2x - 6

x = -4

We already know the value of x, so let's plug it into the first equation.

y = 1/2x - 6

y = 1/2(-4) - 6

Multiply.

y = -2 - 6

Subtract.

y = -8

Your solution is (-4, -8).

Hope this helps!

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

Answer:

163.6

Step-by-step explanation:

180•(22-2)=180•20 =3600

3600/22= 163.636363…

Answer:

55

Step-by-step explanation:

It is 55 minutes more because 1 1/2 hrs = 90 minutes and when you add 20 plus quarter of an hour it equal to 35. SO than you subtract 35 from 90 and you get 55 which is the more minutes .

Answer:

The formula for calculating the surface area of a cuboid is as follows.

Surface Area of Cuboid = 2lw + 2lh + 2hw

Where,

Therefore,

Surface Area of Cuboid = (2 x 20 x 5) + (2 x 20 x 10) + (2 x 10 x 5)

                                         = 200 + 400 + 100

                                         = 700 [tex]cm^{2}[/tex]

Answer:

On the same side of the transversal, a pair of matching angles can be found. One outer angle and one internal angle make up the appropriate pair of angles. All related angles are not created equal. If the transversal connects two parallel lines, the corresponding angles are equal.

Step-by-step explanation:

9514 1404 393

Answer:

  the correct choice is marked: x = 11; Q = 55°

Step-by-step explanation:

If P and Q are supplementary, then ...

  Q = 180° -P

  Q = 180° -125°

  Q = 55°

Then we have ...

  5x = 55°

  x = 11°

Answer:

The factored form of the equation is (x + 4)(x – 6) = 0.

Answer:

True

Step-by-step explanation: