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2 years ago

Convert the given function into a logarithmic function: f(x)=36.77e^(-0.72x)

1 answer:

7 0

F(x) = 36.77e^(-0.72x)
log f(x) = log36.77e^(-0.72x)
log f(x) = log 36.77 + log e^(-0.72x)
log f(x) = 3.6 + (-0.72x)log e
log f(x) = 3.6 - 0.72x
0.72x = 3.6 - log f(x)
x = 5 - 1.39 log f(x)

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What is three fractions equivalent to 3/11

Artist 52 [7]

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2 years ago

If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?<br><br> m∠VRU = °<br><br> m∠URW = °

alina1380 [7]

Answer:

see explanation

Step-by-step explanation:

∠TRV = ∠SRW ( vertical angles ), hence

2x + 15 = 85 ( subtract 15 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

Hence

∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°

and

∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus

∠URW + 80 + 85 = 180

∠URW + 165 = 180 ( subtract 165 from both sides )

∠URW = 15°

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2 years ago

Read 2 more answers

Javonie started a dog walking business over the summer. He walked 8 dogs and earned $160 in July.

Damm [24]

Answer:

a) $340

b) $20

Step-by-step explanation:

a) in the summer (July and August) he earned 160 + 180 = $340

b) in July he earned 160 ÷ 8 = $ 20

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2 years ago

Calculate volume of hemisphere with radius 3.2 cm

Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³

the volume of a hemisphere is half the volume of a sphere, so

V = $\frac{1}{2}$ × $\frac{4}{3}$ πr³ = $\frac{2}{3}$ πr³ , then

V = $\frac{2}{3}$ π × 3.2³

= $\frac{2}{3}$ π × 32.768

≈ 68.63 cm³ ( to 2 dec. places )

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1 year ago

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forsale [732]

Y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3 = y^4 / x^3

A

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2 years ago