True or false, in a ratio the units are not written

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

Factor of the polynomial

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

The length of the pool

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

Simplify the expression

The expression is given as:

(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

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Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

Answer:

14

-83

-43

these anwrers when you make it with different ways.

You nees to get more than one answer with this problem I guess.

13-7+8 = 14

13(-7) + 8 = -83

13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.

Answer:

THERE IS NO OTHER ANSWER THAN 14

Step-by-step explanation:

Only 1 answer can be found by doing this problem in any order:

If we do 13-7 first:
(13-7)+8=

6+8=

14

So 1 answer is 14

If we do -7+8 first:

13+(-7+8) =

13+1=

14

So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.

THERE IS NO OTHER ANSWER THAN 14

205 ft as lenght

Step-by-step explanation:

First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.

Answer:

b 64

Step-by-step explanation:

because p is just a mirror of o ,and o =64

Answer:

Angle u is 52

Step-by-step explanation:

I only know this

52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52

Answer:

  yes; 2 m = 200 cm

Step-by-step explanation:

The SI prefix "centi-" signifies 1/100. That is 300 cm = 300/100 m = 3 m.

If the ceiling is 3 meters high, a sculpture that is 2 meters tall will have no difficulty fitting into the room.

Answer: 21600

216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.

Step-by-step explanation:

Answer:

4240 in²

rectangle prism area: 2(wl+hl+hw)

=======

area:

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Mr. Blue' salary is an illustration of a geometric sequence

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

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Answer:

A

Step-by-step explanation:

multiply the 6 with the numbers in the bracket

6x -12 + 21 < 39

addition(-12+21 =9)

6x + 9 < 39

grouping

6x < 39-9

6x < 30

divide both sides by the coefficient of x

6x/6 < 30/6

x < 5

Answer:

If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.

1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.

2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.

Step-by-step explanation:

Answer:

php.200.00

Step-by-step explanation:

if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200

the ans is 200

Answer:

Php 200.00

Step-by-step explanation:

Given :

Unit rate

5 kg of sugar

The perimeter of the pentagon with apothem of 5cm is 28.87cm

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

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Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

Applying that here :

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

[tex]hourly-pay = \frac{total-money-paid}{number-of-hours} =\frac{90}{4.5} =20[/tex]

Thus you made $20 per hour

Hope that helps!

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

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Answer:

less than cause 4 is before 24

3. b) 85

The total surface area of the hemisphere is the sum of this curved surface area or the area of its base. The base of a hemisphere is circle of radius (r) equal as the radius of the sphere

Given,

hemisphere = 15

hight = 100

so, 100 - 15 = 85

a hemisphere is half of the sphere so to get a hemisphere from the sphere you divide by 2. the hight of the hemisphere is 15 feet so subtract that from the total of the 100 and you get 85.

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Answer:

1. sphere

2. divide by 2

3. 85

Step-by-step explanation:

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4

Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;

[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]

[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]

[tex]{:\implies \quad \sf a+4n-4=49}[/tex]

[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]

Now, as we assumed there are n terms, so using the sum formula, we can have ;

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]

[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]

Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;

[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]

Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.

Step-by-step explanation:

Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.

Explanation:

Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.

States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.

Answer: 891 ft³

Step-by-step explanation:

     We can break the garage into two different parts. The roof, triangular, and the rest, rectangular. I will start by solving for the rectangular part.

     V = L * W * H

     V = 12 ft * 9 ft * 7.5 ft

     V = 810 ft³

     Now, I will solve for the triangular part, the roof. First, 9 ft - 7.5 ft = 1.5 ft, so the height of just the roof is 1.5 ft.

     V = [tex]\frac{L * W * H}{2}[/tex]

     V = [tex]\frac{12 * 9* 1.5}{2}[/tex]

     V = [tex]\frac{162}{2}[/tex]

     V = 81 ft³

     Lastly, I will add the two different parts together.

810 ft³ + 81 ft³ = 891 ft³

Answer:

-2

Step-by-step explanation:

Apply the rule for this:

a - (- b) = a + b

Thus, we have:

-14 - (-12) = -14 + 12

Add the number:

Since there are more negative than positive the final solution is negative

Hence, now 14 - 12 = 2

Now bring the negative down:

-2

Therefore, the answer is -2

Kavinsky

When there are two minuses beside each other

⇒ we can equate them as a '+'

   so:

       -14 - (-12) = -14 + 12 = -2 or Choice (B)

Hope that helps!