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2 years ago

Express 1/243 as a power

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

Answer:

logbase3(1/243)

Step-by-step explanation:

This is the equation you would use to solve.

You might be interested in

The nutrition fact on a particular snack food states that 40% of calories come from fat. If 20 of the total calories come from f

OleMash [197]

Answer:

The total calories in the food is 50.

Step-by-step explanation:

Given,

Calories coming from fat = 20

In percentile calories coming from fat = 40%

Solution,

Let the total calories in the food be 'x'.

And given that 40% of the total calories are coming from fat, which is 20.

That means x multiplied with 40% is equal to 20.

So framing the above sentence in equation form, we get;

$x\times40\%=20$

Now we have to remove the percentile.

For this we have to divide 40 by 100, then we get;

$x\times\frac{40}{100}=20\\$

Multiplying by 100 on both side, we get;

$x\times40=20\times100\\\\x=\frac{20\times100}{40}\\\\x=50$

Hence The total calories in the food is 50.

5 0

4 years ago

Jake's apple farm has 228 apple trees. Last year, 182,172 apples were produced at Jake's apple farm. If each apple tree produced

skelet666 [1.2K]

Answer:

799 apples were produced by each tree.

Step-by-step explanation:

182,172 apples evenly produced by 228 trees.

182,172 apples ÷ 228 trees = 799 apples per tree

799 apples • 228 trees = 182,172 apples

I hope this helps

6 0

3 years ago

Read 2 more answers

Can someone help me with this problem

Alex_Xolod [135]

Answer:

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

A(-3, 0) , B(3, 2)

$AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}$

A(-3, 0), D(-2, -3)

$AD=\sqrt{(-2-(-3))^2+(-3-0)^2}=\sqrt{1^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

AB = CD and AD = BC

The area of a rectangle:

$A=(AB)(AD)$

Substitute:

$A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20$

The perimeter of a rectangle:

$P=2(AB+AD)$

Substitute:

$P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}$

4 0

3 years ago

Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.

lys-0071 [83]

Answers:

slope = 2
slope = -3
slope = 1
slope = 1/4
slope = 1/4

None of the five lines are horizontal or vertical

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

Explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6

4 0

3 years ago

A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo

zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

therefore, the answer is letter b

8 0

4 years ago