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3 years ago

Simplify: ( 6 to the second power minius 7 times 3 ) + 3 cubed

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

Step-by-step explanation:

6 to the second power minius 7 times 3 is 15 then with is cubed it would be 42

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Multiply: (2x + 5)(3x + 2) Simplify and write your answer in standard form

RideAnS [48]

Answer:

Hey,

$\rm \: =6x^2+19x+10$

Step-by-step explanation:

=(2x+5)(3x+2)

=(2x)(3x)+(2x)(2)+(5)(3x)+(5)(2)

=6x^2+4x+15x+10

=6x^2+19x+10(ANS)

3 0

1 year ago

Read 2 more answers

Help

padilas [110]

Answer:

The answer is 100.5 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = $\pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $(\pi) (2 in^{2}) (8 in)$ .

Then, solve the equation, and the answer will be 100.5 $in^{3}$ .

8 0

2 years ago

A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

kari74 [83]

Answer:

The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

$P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)$

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

4 0

3 years ago

Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its

andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does $\frac{1}{9}$ of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed $\frac{1}{x}$ of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do $\frac{1}{3}$ of the job.

Now, we can write the following equation about fractions of the job done:

The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together. That is in mathematical terms:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3}$

and solving for x:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours$

4 0

3 years ago

A restaurant is located on a coordinate grid at (-6,-9). A store is located on the same coordinate grid at (10,3). If your house

Nitella [24]

Answer:

Step-by-step explanation:

Use the midpoint formula. So, your coordinates of your house would lie on the point (2,-3). (:

4 0

3 years ago