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3 years ago

Please help me it's edgenuity laws of exponents

Mathematics

2 answers:

V125BC [204]3 years ago

8 0

Answer:

Wait

Step-by-step explanation:

Roman55 [17]3 years ago

5 0

Answer:

a = 10

b = 6

(a,b) = (10,6)

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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

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4 years ago

a washer and dryer combination cost $890 if the washer costs $90 more than the dryer what does each Appliance cost

maksim [4K]

Answer:

dryer400 and washer 490

Step-by-step explanation:

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4 years ago

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What is the inverse of this function? f(x)=-1/2 square root of x+3, x > -3

yuradex [85]

The inverse function of $f(x) = -\frac 12\sqrt{x + 3}$ is $f^{-1}(x) = 4x^2- 3$

<h3>How to determine the inverse function?</h3>

The function is given as:

$f(x) = -\frac 12\sqrt{x + 3}$

Rewrite as;

$y = -\frac 12\sqrt{x + 3}$

Swap the positions of x and y

$x = -\frac 12\sqrt{y + 3}$

Multiply through by -2

$-2x = \sqrt{y + 3}$

Square both sides

4x^2 = y + 3

Subtract 3 from both sides

y = 4x^2 - 3

Express as an inverse function

$f^{-1}(x) = 4x^2- 3$

Hence, the inverse function of $f(x) = -\frac 12\sqrt{x + 3}$ is $f^{-1}(x) = 4x^2- 3$

Read more about inverse function at:

brainly.com/question/2541698

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2 years ago

Solve the equation 39=3m-12

sergiy2304 [10]

It’s gonna be m= 52/3

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3 years ago

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School x and school y play each other in a competition school x has 8 more points then school y school x has three times as many

Nookie1986 [14]

I think the anwser is team y has 4 points and team x has 12 points because 4×3=12-4=8 so team x has 3× the points team y does and has an 8 point lead.
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5 0

3 years ago

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Please help me it's edgenuity laws of exponents ​

Please help me it's edgenuity laws of exponents