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3 years ago

Find the quotient. 3/8÷ 2/7 3/28 1 5/16 16/21 1 3/28

Mathematics

1 answer:

Anni [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16}$

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Given the exponential growth function f ( x ) = 75 ( 1.02 ) x f ( x ) = 75 ( 1.02 ) x What is the initial value of the function?

Anni [7]

Answer:

Step-by-step explanation:

The initial vale is when x = 0

- That is 75,

The growth factor is 2%.

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2 years ago

The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers,

Elden [556K]

Answer:

The newspaper has 1,600 readers.

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3 years ago

The Laplace Transform of a function f(t), which is defined for all t > 0, is denoted by L{f(t)} and is defined by the imprope

lesya692 [45]

(1) D

$L_s\left\{t\right\} = \displaystyle\int_0^\infty te^{-st}\,\mathrm dt$

Integrate by parts, taking

$u = t \implies \mathrm du=\mathrm dt$

$\mathrm dv = e^{-st}\,\mathrm dt \implies v=-\dfrac1se^{-st}$

Then

$L_s\left\{t\right\} = \displaystyle \left[-\frac1ste^{-st}\right]\bigg|_{t=0}^{t\to\infty}+\frac1s\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{t\right\} = \displaystyle \frac1s\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{t\right\} = \displaystyle -\frac1{s^2}e^{-st}\bigg|_{t=0}^{t\to\infty}$

$L_s\left\{t\right\} = \displaystyle \boxed{\frac1{s^2}}$

(2) A

$L_s\left\{1\right\} = \displaystyle\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{1\right\} = \displaystyle\left[-\frac1se^{-st}\right]\bigg|_{t=0}^{t\to\infty}$

$L_s\left\{1\right\} = \displaystyle\boxed{\frac1s}$

7 0

3 years ago

What is −15 ÷ 3/5? −25 −9 −19 −125

SVETLANKA909090 [29]

Your answer would like 1) -25

3 0

3 years ago

Read 2 more answers

If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will w

natali 33 [55]

Answer:

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

$P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}$

Thus:

$P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114$

The probability is:

$P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014$

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

3 0

3 years ago