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3 years ago

Solve: 9x - 3 = 729

Mathematics

2 answers:

IRISSAK [1]3 years ago

7 0

Answer:

Step-by-step explanation:

edge

Ivahew [28]3 years ago

5 0

Answer:

its . 6

Step-by-step explanation:

e2020

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Simplify <br>-1^3 <br>(-5)^2

tigry1 [53]

Answer:

1. -1

2.25

Step-by-step explanation:

N A

8 0

3 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

Angle X measures 110 Degrees if angle x is rotated 60 degrees what is the measure of angle x ?

Flauer [41]

Rotatation could be done to left or right.

110 + 60 = 170 degrees => Rotation to the right side.

110 - 60 = 50 degrees= > Rotation to the left side.

We can see in the choices that 170 degrees is the right choice.

The answer is D.

4 0

3 years ago

Read 2 more answers

A house is purchased for $205,000, and a down payment is made for 20% of the purchase price, is made. Calculate the mortgage bal

lord [1]

205,000−(205,000×0.20)=164,000

7 0

3 years ago

Jane buys some rocks for decorating her backyard. She uses a box full of rocks. The box is a rectangular container that is 1 yar

statuscvo [17]

First, Jane must know the volume of the box.
Volume = l * w * h
Volume = 1 * 0.5 * 0.5
Volume = 0.25 yard^3

1 yard^3 = $25

So,
1 : 25 = 0.25 : x
x = 25 * 0.25
x = $6.25

So she need to spend $6.25

4 0

3 years ago