When factored completely, which is a factor of 6x^3 - 12x^2

Help please!!!!!! 12-13 8th grade math!!!

marin [14]

Answer:

12.

m∠ACB = 180° - 58° - 78° = 44°

m∠DCE = 180° - 85° - 60° = 35°

m∠BCD = 180° - 44° - 35° = 101°

13.

Base on the picture, we know that:

x° + 2x° + 3x° = 180°

6x° = 180°

x° = 180° ÷ 6 = 30°

=> m∠K = 2x° = 2 × 30° = 60°

=> m∠L = 3x° = 3 × 30° = 90°

=> m∠KML = x° = 30°

m∠LMN = 60° + 90° = 150°

5 0

4 years ago

lfador produces gear for a racquetball league. It costs him S0.005 per square centimeter to racquetballs for the league. In the

kotegsom [21]

Answer:

out estimation is underestimate when we increase the cost.

Step-by-step explanation:

Given diameter of the racquetballs (x)= 4 cm

New diameter = 4.05 cm

Therefore, change in diameter ( Δ x) = 0.05.

Cost Function of x diameter of 30,000 racquetballs at the rate 0.005 per square centimeter

C(x) = 30000 × 0.005 × S/4

C(x) = 150 × S/4 = 37.5 × S.

We are given S = π r^2

Therefore,

C(x)= 37.5 π r^2.

C(4) = 37.5 *π*(4)^2 = 37.5 π*16

C (4+0.05) = 37.5 *π*(4.05)^2 = 37.5 * π * 16.4025.

Finding first derivative of cost function, we get

C'(x) = 2 * 37.5 * π r = 75 π r

C(4) = 75 * π * 4 = 300 π

We know,

Δ C(x)/ Δ x = C'(x).

Plugging value of Δ x and x

Δ C(4) = Δ x * C '(4) = 0.05 * 300 π = 15 π = 15 * 3.141 = 47.12.

We also know

Δ C(x) = C(x+Δx) - C(x) = (37.5 * π * 16.4025) - (37.5 π*16) = 37.5 π (16.4025 -16)

= 37.5 π(0.4025)

= 37.5 * 3.14 * 0.4025

= 47.42.

We can see that 47.42 is greater than 47.12.

Therefore, out estimation is underestimate when we increase the cost.

4 0

4 years ago

2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend

igomit [66]

Answer:

15

Step-by-step explanation:

7 0

3 years ago

A basketball court is a rectangle that is 94 feet long. The area is 4700 square feet. What is the width of a basketball court?

Illusion [34]

Answer: C: 50 feet

Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.

If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.

3 0

3 years ago

Read 2 more answers

A player tosses a die 6 times.If gets a number 6 Atleast two times he wins 2 dollars ,otherwise he looses 1 dollar.. Find the ex

swat32

Answer:

$E(x)=-0.2101$

Step-by-step explanation:

The expected value for a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)$

Where $x_1$ and $x_2$ are the values that the variable can take and $p(x_1)$ and $p(x_2)$ are their respective probabilities.

So, a player can win 2 dollars or looses 1 dollar, it means that $x_1$ is equal to 2 and $x_2$ is equal to -1.

Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.

If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:

$P(a)=nCa*p^a*(1-p)^{n-a}$

Where $nCa=\frac{n!}{a!(n-a)!}$

So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.

Therefore, the probability $p(x_1)$ that a player get at least two times number 6, is calculated as:

$p(x_1)=P(x\geq2)=1-P(0)-P(1) \\\\P(0) =6C0*(1/6)^{0}*(5/6)^{6}=0.3349\\P(1)=6C1*(1/6)^{1}*(5/6)^{5}=0.4018\\\\p(x_1)=1-0.3349-0.4018\\p(x_1)=0.2633$

On the other hand, the probability $p(x_2)$ that a player don't get at least two times number 6, is calculated as:

$p(x_2)=1-p(x_1)=1-0.2633=0.7367$

Finally, the expected value of the amount that the player wins is:

$E(x)=x_1*p(x_1)+x_2*p(x_2)\\E(x)=2*(0.2633)+ (-1)*0.7367\\E(x)=-0.2101$

It means that he can expect to loses 0.2101 dollars.

3 0

3 years ago

Read 2 more answers

When factored completely, which is a factor of 6x^3 - 12x^2 - 48x?