Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x

Answer:

19

Step-by-step explanation:

To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.

Answer: 19

Step-by-step explanation:

.125 is equal to 1/8, so it will be roughly 1/8 of the 150 times so we can multiply

150(.125)=18.75, which rounded up, or normally becomes 19

Answer: 2,500 blocks

Step-by-step explanation:

Hi, to answer this question we have to calculate both volumes:

Volume of a rectangular prism= length x width x height

Volume of the block = 22 x 11 x 7 = 1,694 cm3

Before calculating the volume of the wall, we have to convert the measures in m to cm:

Since:

1m = 100 cm

5 1/2 m x 100 = 550 cm (length)

3 1/2 m x 100 =350 cm (height)

Volume of the wall = 550 x 22 x 350= 4,235,000 cm3

Finally:

Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

10

Step-by-step explanation:

[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^2[/tex]

[tex]\left(x-6\right)^{2}+\left(y-0\right)^{2}=r^2\\[/tex]

We used (2,-3)

[tex]\left(2-6\right)^{2}+\left(-3-0\right)^{2}=25[/tex]

[tex]r^2=25\\[/tex] , so [tex]r = 5[/tex]

But this one is asking for the diameter, and to find it. It's simply 2r.

2*5 = 10

Answer:

The correct option is;

B. It is the ratio of the area of the circle to the area of the square from a cross section.

Step-by-step explanation:

The formula for the volume of a pyramid = 1/3*Area of base*Height

The formula for the volume of a cone = 1/3*Area of base*Height

The area of the base of the square pyramid of side 2r = 2r*2r = 4r²

The area of the base of the cone of base radius r = πr²

The ratio of the volume of the cone to the volume of the square pyramid is given as follows;

[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2\times h}{\dfrac{1}{3} \times( 2 \times r)^2\times h}[/tex]

Given that the height are equal, h/h = 1, which gives;

[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times( 2 \times r)^2} = \dfrac{Area \ of \ the \ circle}{Area \ of \ the \ square} =\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times 4 \times r^2} = \dfrac{\pi }{4}[/tex]

Therefore, where the π/4 comes from is that it is the ratio of the area of the circle to the area of the square from a cross section.

Answer:

b

Step-by-step explanation:

Answer:

How many students are in P.E? 90

How many are ONLY in P.E? 62

Step-by-step explanation:

How many students are in P.E?

200 students in 8th grade.

35=drama

75=cooking

200-110=90=PE.

How many are ONLY in P.E?

Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.

90-28=62

Hope this helps!

Answer:

588 kilómetros

Step-by-step explanation:

La función con la que estamos trabajando según la pregunta es;

F (x) = 6x ^ 2 -12

Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10

Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;

F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588

Answer:

Step-by-step explanation:

Given,

x = [tex] \frac{5}{2} [/tex]

Now, let's find the value of 2x - 5

[tex]2x - 5[/tex]

plug the value of x

[tex] = 2 \times \frac{5}{2} - 5[/tex]

Reduce the number with Greatest Common Factor 2

[tex] = 5 - 5[/tex]

The sum of two opposites equals 0

[tex] = 0[/tex]

Hope this helps..

best regards!!

Answer:

0

Step-by-step explanation:

x=5/2

therefore

2(5/2)-5=10/2-5

=5-5(since 10/2=5)

=0

Answer:

y = -3x - 11

Step-by-step explanation:

(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)

(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)

(y - 7)/(x + 6) = 3/-1 = -3

y - 7 = -3(x + 6)

y - 7 = -3x - 18

y = -3x -18 - 7

y = -3x - 11

Answer:

216 elements

Step-by-step explanation:

the total number of elements of a dice is :

6^n

6 stand for the 6 faces of the dice

n stands for the number trial

then total number of elements in 3 trials of rolling a 6-sided die is 6^3=216 elements

Answer:

x = 1/(a-b)

Step-by-step explanation:

The given equation is ax = bx + 1

Collecting like terms:

ax - bx = 1

Factorizing x out of the equation:

x(a - b) = 1

Dividing both sides by (a - b):

[tex]\frac{x(a - b)}{(a - b)} = \frac{1}{a - b} \\x = \frac{1}{a - b}[/tex]

Therefore, x is related to the difference of a and be by the equation

x = 1/(a-b) where a - b is the difference of a and b

Answer:

x = 1/(a-b)

Step-by-step explanation:

Answer:

D. 4z^3

Step-by-step explanation:

First, you see what cubed is 64, which is 4, so you know it is either A or D, but it can not be A because it is not z to the power 5 but x to the power of 3

Hope this helps, if you want me to explain more, feel free to ask questions.

Have a good day! :)

Answer:

4 z^3

Step-by-step explanation:

( 64 z^9) ^ 1/3

Rewriting 64 as 4^3

( 4^3 z^9) ^ 1/3

We know that ( ab) ^c = a^c  * b^c

4^3 ^ 1/3 z^9  ^ 1/3

We know that a^ b^c = a^ ( b*c)

4^(3 * 1/3) z^ (9  * 1/3)

4 ^ ( 1)  z^ ( 3)

4 z^3

Answer:

-1+2-4+8-10+12-14+16-18+20

=

-47+68

= +21

hope youlike this

stay at home stay safe

keep rocking

Rahul ate more tangerines...

Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

C = 18°

c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

Answer:

B. x<27

Step-by-step explanation:

300-165=135

135/5=27

Answer:

B. x<27

Step-by-step explanation:

The shelter has 165 animals.  The shelter must keep its total occupancy below 300.  The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be  165+5x animals. This number must be less  than 300

         X<27

Answer: 120

Step-by-step explanation:

Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.

The total number of marbles in the bag : 2+2+1+5+6=16

Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is

[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex]  [[tex]\because\ C(n,1)=n[/tex]]

Hence, the number of sets of four marbles include one of each color other than lavender = 120

Answer:

x < 7

Step-by-step explanation:

-6x > -42

Divide each side by -6, remembering to flip the inequality

-6x/-6 < -42/-6

x < 7

Answer:

[tex]\boxed{x<7}[/tex]

Step-by-step explanation:

[tex]-6x > -42[/tex]

Divide both sides by -6 (flip sign).

[tex]\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}[/tex]

[tex]x<7[/tex]

Answer:

24 of 18 is 75%

60 of 48 is 80%

1.052 is 105.2%

Step-by-step explanation:

Answer:

4 in

Step-by-step explanation:

as you see from the first rectangle it has been reduced 3 times of length

so the breadth also should be reduced 3 times

Answer:

x = 4

Step-by-step explanation:

the simplest way to do that is to divide

12 / 18 = 2 / 3

then we move to the another square:

x / 6 = 2 / 3

x = 6 x 2 / 3

x = 4

.. ..

Answer:-12

Step-by-step explanation:

Add 10+14 to get 24 then divide it by a negative 2 to get -12

Answer:

x = ±2

Step-by-step explanation:

x^2 – 14 = –10

Add 14 to each side

x^2 – 14+14 = –10+14

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

Answer:

(x - 10)(x - 5)

Step-by-step explanation:

Well to factor X^2-15x+50

we need to find 2 numbers that multiply to get 50 and add to get -15.

-5 * -10 = 50

-5 + -10

x*x = x^2

Factored (x - 10)(x - 5)

Hope this helps :)

Answer:

(x - 10)(x - 5)

Step-by-step explanation:

Step 1- Find 2 numbers that multiply to be 50.

10 × 5

-10 × -5

25 × 2

-25 × -2

All these multiply to get 50.

But the numbers must also add up to be -15.

Step 2- Find the 2 numbers that also add up to be -15.

10 + 5 = 15

-10 + -5 = -15

25 + 2 = 27

-25 + -2 = -27

The correct equation would be - 10 + -5

The 2 number you would use when you factor would be -10 and -5

Step 3- Write the equation

You can write the equation as (x - 10)(x - 5)

Or you can also write it as (x - 5)(x - 10)

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

Answer:

Hey mate... I don't know the first three... But mayb I can help u in last one.

Step-by-step explanation:

The answer is : 2: 6: 18: 54: 162: 426

I can see the pattern by multiplying.. As from 3

2x3=6 :6x3=18 :18x3= 54 :54x3=162 :162x3=426

So I guess this is the ans

Hope it helped u!

Answer:

Step-by-step explanation:

ABC is a right angle triangle.

Therefore,

[tex]cos \: (75) = \frac{ab}{ac} [/tex]

Plug the values

[tex]cos \: (75) = \frac{x}{21} [/tex]

Apply cross product property

[tex]x = 21 \times cos(75)[/tex]

Calculate

[tex]x = 5.435[/tex]

After rounding to the nearest tenth, the answer will be:

[tex]x = 5.4[/tex]

Hope this helps...

Best regards!!

Answer:

D.y + 1 = 6(x - 6)

Step-by-step explanation:

The general form of a straightline equation is given as

y = mx + c

where m is the slope and c is the intercept

m = Δy/Δx

from the given points

m = (-7 - -1)/(5 - 6)

= -6/-1

= 6

Considering the points x₁ and y which are  6 and -1

and using the formular

m = (y - y₁)/(x - x₁)

6 = (y - -1)/(x - 6)

y + 1 = 6(x - 6)

Answer: C: -10

Step-by-step explanation:

An output is another word for y. If we set y to -15, we can solve for x, or the input variable.

[tex]-15=2x+5[/tex]

Subtract 5 from both sides of the equation.

[tex]-20=2x\\[/tex]

Divide both sides of the equation by 2.

[tex]-10=x[/tex]

Therefore, x = -10.

Hope this helps!

Answer:

the answer is -25

Step-by-step explanation:

y = 2x + 5

y = 2x(-15) + 5

2 times -15 = -30

-30 + 5 = -25

Hope this helps! :)

===========================

Work Shown:

Plug in f(x) = 37. Solve for x. Use logarithms.

f(x) = 20(1.05)^x

37 = 20(1.05)^x

20(1.05)^x = 37

1.05^x = 37/20

1.05^x = 1.85

log( 1.05^x ) = log( 1.85 )

x*log( 1.05 ) = log( 1.85 )

x = log( 1.85 )/log( 1.05 )

x = 12.6088044498867

Round up to the nearest whole number to get x = 13.

In the year 2013, sales exceed 37 million.

Answer:

42 ducks remain in the pond

Step-by-step explanation:

First, find the number of white ducks

28*2=56

Add them to the brown ducks

56+28= 84

Then divide by 2 because half flew away

84/2=42

So 42 ducks remain in the pond. Hope this helps :)

Answer:

y = 10

Step-by-step explanation:

y = 2x + 6

Let x  =2

y = 2*2 +6

y = 4+6

y = 10

Answer:

Step-by-step explanation:

[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]

[tex]y = 10[/tex]

Answer:

B since the correlation between the numbers in x raise at a higher rate than any other chart