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3 years ago

ANSWER AS FAST A POSSIBLE PLS! 156-3^2x5-8^2

Mathematics

1 answer:

vovikov84 [41]3 years ago

4 0

Answer:

Step-by-step explanation:

first of all simply the ones with powers and you will get 156-9*5-64 then multiply and you will get 156-45-64 simplify and the answer is 47

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g

nydimaria [60]

Answer:

In every 42 days, Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

$6=6,12,18,24,30,36,42$

$7=7,14,21,28,35,42$

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

7 0

4 years ago

Read 2 more answers

Find the value of expression - 17x-19xpwer4 - 21x power 2,when x=3<br><br>

Marrrta [24]

Answer:

$-17x - 19x^4 - 21x^2 = -1779$ when $x = 3$

Step-by-step explanation:

Given

$-17x - 19x^4 - 21x^2$

$x = 3$

Required

Solve

Substitute 3 for x in $-17x - 19x^4 - 21x^2$

$-17x - 19x^4 - 21x^2 = -17*3 - 19*3^4 - 21*3^2$

Evaluate all exponents

$-17x - 19x^4 - 21x^2 = -17*3 - 19*81 - 21*9$

$-17x - 19x^4 - 21x^2 = -51 - 1539- 189$

$-17x - 19x^4 - 21x^2 = -1779$

7 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

vredina [299]

Answer:

$6t + \frac{t^2}{2}+2/5t^{5/2} + C$

Step-by-step explanation:

Given the expression;

g(t) = 6 + t + t²/√t

This can be rewritten as;

g(t) = 6 + t +t²/t^1/2

g(t) = 6 + t +t^{2-1/2}

g(t) = 6 + t +t^3/2

Integrate the result

$\int\limits {(6 + t+t^{3/2}}) \, dt\\$

Using the formula x^{n+1}/n+1

$\int\limits {(6 + t+t^{3/2}}) \, dt\\ = 6t + \frac{t^2}{2}+\frac{t^{3/2+1}}{3/2 + 1} \\ = 6t + \frac{t^2}{2}+\frac{t^{5/2}}{5/2} \\= 6t + \frac{t^2}{2}+2/5t^{5/2} + C$

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3 years ago

Line AB is parallel to EF. Transversal GJ crosses line AB at K and crosses line EF at L. The measure of angle ELJ is 120 degrees

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

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3 years ago