All categories

4 years ago

Multiply (1/2)(2x)(x+8)

1 answer:

7 0

$\bf \left( \cfrac{1}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \right)(~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~x)(x+8)\implies x(x+8)\implies x^2+8x$

You might be interested in

There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

Brums [2.3K]

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

$P(A) = 0.3*0.5 + 0.6*0.5 = 0.45$

Probability of a red ball from box A:

0.3 of 0.5, so:

$P(A \cap B) = 0.3*0.5 = 0.15$

What is the probability that this red ball is from box A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333$

0.3333 = 33.33% probability that this red ball is from box A.

8 0

3 years ago

The nth term of a sequence is represented by 3n4−10/6n4+7 . What is the limit of the the nth term as n becomes increasingly larg

Cerrena [4.2K]

Answer:

Step-by-step explanation:

Given the limit of the function expressed as;

$\lim_{n \to \infty} \frac{3n^4-10}{6n^4+7} \\$

To take the limit, we nee to divide through by the highest power of n first

$\lim_{n \to \infty} \frac{3n^4/n^4-10/n^2}{6n^4/n^4+7/n^4}\\= \lim_{n \to \infty} \frac{3-10/n^2}{6+7/n^4}\\= \frac{3-10/(\infty)^2}{6+7/(\infty)^4}\\= \frac{3-0}{6-0}\\= \frac{3}{6}\\ = \frac{1}{2}\\$

Hence the limit of the the nth term as n becomes increasingly large is 1/2

3 0

3 years ago

Use the given circumference to approximate the surface area of the spherical object. Round the answer to the nearest square cent

Kruka [31]

Well since I do not know the unit of measure, I can not give you the answer in a unit of measure but it would be the same answer just add the unit for example meter at the end of the answer and square it.
The answer is:
232.048

8 0

4 years ago

Josie found a small bird bath at a garage sale. The bird bath has a circular opening with a radius of 10 cm, as shown in the dia

sveticcg [70]

Answer: 1256cm

Step-by-step explanation:

8 0

3 years ago

Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in que

vovangra [49]

Answer:

$ $4f$