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3 years ago

Evaluate g(x)=1/5(1/3)^x for x=2

Mathematics

1 answer:

Shalnov [3]3 years ago

5 0

Answer:

$\frac{1}{45}$

Step-by-step explanation:

Substitute x = 2 into g(x) and evaluate

g(2) = $\frac{1}{5}$ × ( $\frac{1}{3}$ )²

= $\frac{1}{5}$ × $\frac{1}{9}$ = $\frac{1}{45}$

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= neage Check Find the distance between the polnts (6,-5) and (-3,-5).

miskamm [114]

Answer:

The answer is

<h2>9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,-5) and (-3,-5)

The distance between them is

We have the final answer as

<h3>9 units</h3>

Hope this helps you

4 0

3 years ago

Mr . Bernstein teaches 100studens. of his 100studwnts ,21wear glasses . what percent of me Bernstein 's students wear glasses

atroni [7]

Answer:

21% of his students wear glasses

Step-by-step explanation:

The answer is 21% because 21/100 =21

Hope it helps.

7 0

3 years ago

Read 2 more answers

In Bangor it’s -3 F in Fairbanks it’s -12 F in Fargo it’s -8 F and in Calgary it’s -15 F in which city is to the coldest?

jonny [76]

Answer:

Calgary is the coldest

Step-by-step explanation:

The simple way to determine this will be to change the value of temperatures given in Fahrenheit to Celsius

32 F = 0°C

Formula to apply will be (T-32)×5/9 -------------where T is temperatures in Fahrenheit

Bangor is -3F-------------------change to Celsius

(-3-32)×5/9 =-35 × 5/9 = -19.44°C

Fairbanks is -12 ------------------------change to Celsius

(-12-32)×5/9 = -44 × 5/9 = -24.44°C

Fargo is -8 F ---------------------Change to Celsius

(-8-32)×5/9= -40×5/9 = -22.22°C

Calgary is -15 F-------------------------Change to Celsius

(-15-32)×5/9 = -47×5/9 = -26.11°C--------------coldest

3 0

3 years ago

What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate ca

Marysya12 [62]

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

<h3>What is the firm's quick ratio?</h3><h3 />

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

2 = (1,260,000 + x) / ( 450,000 + x)

x = $360,000

The quick ratio would therefore be:

= ( New Current assets - New inventory) / New current liabilities

= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)

= 1.204

Find out more on quick ratio at brainly.com/question/13917900.

#SPJ1

5 0

2 years ago

cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago