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3 years ago

Find an equation of f

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Every 5800 years, your element will decrease by 50%. So one way to represent that as an equation is:

f(t) = (1/2)^(t/5800)

So if t = 5800 years, our equation will be (1/2)^1 or 1/2 or 50%, so it checks out.

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Under what conditions do we solve a verbal problem using a system of linear equations

shusha [124]

Answer:

draw a graph and plot the points to make it linear

Step-by-step explanation:

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2 years ago

Simplify the square root of:<br> √32

mylen [45]

The square root of 32 is 5.65685

6 0

3 years ago

Read 2 more answers

If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.

nikklg [1K]

Part A

Answer: Choice D) $\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}$

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

$(\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\$

This points to choice D as the final answer.

===========================================================

Part B

<h3>Answer: 7.07</h3>

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

$\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\$

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

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3 years ago

Find the slope of this graph. Screenshot given.

aleksklad [387]

It would be 4 I think

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3 years ago

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One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet

garik1379 [7]

Answer:

Cost of Trumpets: $174

Cost of Clarinets: $149

Cost of Violins: $89

Step-by-step explanation:

Got it correct

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3 years ago