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3 years ago

What is the product?

Mathematics

1 answer:

aliya0001 [1]3 years ago

3 0

Answer:

20s³ + 50s² + 32s + 6

Step-by-step explanation:

( 4s + 2 ) ( 5s² + 10s + 3)

use the distribution property:

20s³ + 40s² + 12s + 10s² + 20s + 6

combine like terms:

20s³ + 50s² + 32s + 6

therefore

the expand value = 20s³ + 50s² + 32s + 6

You might be interested in

A research company found that 11% of the people that they called agreed to participate in a survey.

goldfiish [28.3K]

Answer:

22 people would be expected to participate in the survey.

Step-by-step explanation:

We are given that a research company found that 11% of the people that they called agreed to participate in a survey.

The company called 196 people and we have to find that how many would be expected to participate in the survey.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r}; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 196 people

r = number of success

p = probability of success which in our question is probability

that people agreed to participate in a survey, i.e; p = 11%

Let X = Number of people who agreed to participate in a survey

SO, X ~ Binom(n = 196, p = 0.11)

Now, the expected number of people who would participate in the survey is given by;

E(X) = $n \times p$

= $196 \times 0.11$ = 21.56 ≈ 22 people

Hence, 22 people would be expected to participate in the survey.

7 0

2 years ago

Mary decreaser time in the mile walk from 30 minutes to 24 minutes what is the percent decrease

slega [8]

There was a 20% decrease. To find the decrease, subtract the old number from the new number. (30-24=6) Then divide the decrease (6) by the original number and multiply the answer by 100. (6/30=0.2 0.2*100=20).

3 0

3 years ago

Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl

wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) $*$ ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) $*$ ( 20 + 2x )"

600 + 100x + 4 $x^2$ = 1000 - Subtract 1000 on either side, making on side = 0

4 $x^2$ + 100x - 400 = 0 - Take the "quadratic equation formula"

( Quadratic Equation is as follows ) - $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ,

$x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2}$ ,

$x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}$

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) $\frac{5\left(\sqrt{41}-5\right)}{2}$ . The approximated value however is 3.5081...or approximately 3.5 feet.

4 0

2 years ago

How would you solve this problem 2/6×3= would you divide or multiply

Rainbow [258]

In the order of operation, multiplying or dividing don't take preference over the other. So with them, you work from left to right.

This means for this question, you first divide, then multiply.

5 0

2 years ago

Read 2 more answers

Simplify the expression 9m-7m+2m

tatuchka [14]

Simplify step-by-step.

9m−7m+2m

=9m+−7m+2m

Combine Like Terms:

=9m+−7m+2m

=(9m+−7m+2m)

=4m

4 0

2 years ago