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yan [13]
3 years ago
7

Select the expression that is equivalent to the polynomial given below. (4x+3)(3x-8)

Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

Step-by-step explanation:

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Michael’s haircut was 14.00 he gave a tip of 3.50 what percentage did Michael leave as a tip
Maurinko [17]

Answer:

D. 25%

Step-by-step explanation:

There are two ways that I do this. Both of them are probably not what your teacher tells you, but hey, I got the right answer.

The first method is to go through the answers and do 14 x .10, 14 x .20, and so on until you get 3.50.

The second method is to do 14/3.5, which equals 4. This means 14 can be broken up into 3.50 four times. So, 3.50 is 1/4 of 14. What is 1/4 of 100%? 25%.

3 0
3 years ago
2. Reece is playing a carnival game in which he
Maslowich
25% or 2/4 and to win one game 50% or 1/2
6 0
3 years ago
A researcher is interested in the texting habits of high school students in the United States. The researcher selects a group of
vlabodo [156]

Answer:

(a)High school students in the United States.

(b)100 Students

(c)Statistic

Step-by-step explanation:

(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.

(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.

In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.

(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.

Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>

3 0
4 years ago
A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f
Andrews [41]

Answer:

A = \frac{P}{r}\left( e^{rt} -1 \right)

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

                                                \frac{dA}{rA+P} = dt

Integration on both sides gives

                                            \int \frac{dA}{rA+P} = \int  dt

where c is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

                               \int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c

Therefore,

                                        \frac{1}{r} \ln |rA+P| = t+c

Multiply both sides by r.

                               \ln |rA+P| = rt+c_1, \quad c_1 := rc

By taking exponents, we obtain

      e^{\ln |rA+P|} = e^{rt+c_1} \implies  |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}

Isolate A.

                 rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}

Since A = 0  when t=0, we obtain an initial condition A(0) = 0.

We can use it to find the numeric value of the constant c.

Substituting 0 for A and t in the equation gives

                         0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P

Therefore, the solution of the given differential equation is

                                   A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)

4 0
3 years ago
A group of preschoolers has 8boys and 24 girls. What is the ratio of girls to all children
Zepler [3.9K]
The  total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4
5 0
3 years ago
Read 2 more answers
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