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2 years ago

How do i simplify this question

Mathematics

2 answers:

Natalka [10]2 years ago

6 0

w^20

reasoning:

(x^a)^b = x^ab

worty [1.4K]2 years ago

5 0

Answer:

w²⁰

Step-by-step explanation:

This is because when it comes to exponents after the bracket, you multiply with the exponent inside the bracket/beside the variable.

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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

3 years ago

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

${(x + 2)}^{2} = a$

If x=1 is a solution, then it must satisfy this equation:

${(1 + 2)}^{2} = a$

${3}^{2} = a$

$a = 9$

Therefore the value of 'a' is 9

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2 years ago

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netineya [11]

Since the 2L is not being multiplied or divided, and it's positive, we will subtract it from both sides. Since the W is being multiplied by the 2, we'll also need to divide both sides by 2.

Your answer is B.

Don't forget to rate this answer the Brainliest!

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2 years ago

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Evaluate the expression for a^2 + b ÷3 when a = 3 and b = 6

Flura [38]

Answer:

Step-by-step explanation:

3^2 + 6/3

9 + 2

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2 years ago

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