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3 years ago

Solve for f. D=1/2fk

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

<em>(To solve for a variable, you have to isolate that variable onto one side.)</em>

Firstly, multiply both sides by 2: $2D=fk$

Next, divide both sides by k, and <u>your answer will be $\frac{2D}{k}=f$ </u>

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To solve 5/7 - 2/n = 1/21

Usimov [2.4K]

Answer:

the answer is n=3

Step-by-step explanation:

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3 years ago

Gina measured the amount of water her friends drink each day in gallons. The line plot shows the measurements.

vova2212 [387]

Line plots are used to represent data using lines and dots

The difference between the greatest amount of water and the least is 1/2

From the line plot (see attachment), we have the following parameters:

$Least = 8\frac 28$

$Greatest = 8\frac 68$

<h3>Calculating the difference</h3>

The difference (d) is then calculated as:

$d =Greatest -Least$

So, we have:

$d =8\frac 68 -8\frac 28$

Subtract the common terms (8)

$d =\frac 68 -\frac 28$

Take LCM

$d =\frac {6-2}8$

$d =\frac {4}8$

Reduce the fraction

$d =\frac {1}2$

Hence, the difference between the greatest amount of water and the least is 1/2

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2 years ago

Bennie took out a 30-year loan for $165,000 at 5.2% interest, compounded monthly. If his monthly payment on the loan will remain

maksim [4K]

Bennie makes 360 payments of $906.03 for a total of $326,170.80. That's $161,170.80 more than the principal amount, so he paid $161,170.80 in interest.
So the answer is B $161,170.80

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3 years ago

Read 2 more answers

X f(x)<br> 0 24<br> 1 12<br> 2 6<br> 3 3

LenaWriter [7]

The table represents an exponential function given by:

$f(x) = 24*(1/2)^x$

<h3>Is the function exponential or quadratic?</h3>

Here we have the table:

x f(x)

0 24

1 12

2 6

3 3

First, notice that for each unit that x increases, the value of f(x) decreases by its half.

This is clearly an exponential equation, whose base must be equal to (1/2).

And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.

Then the exponential function is:

$f(x) = 24*(1/2)^x$

Such that:

$f(0) = 24*(1/2)^0 = 24\\\\f(1) = 24*(1/2)^1 = 12\\\\f(2) = 24*(1/2)^2 = 24*(1/4) = 6\\\\f(3) = 24*(1/2)^3 = 24*(1/8) = 3$

Concluding, the table represents an exponential function.

If you want to learn more about exponential functions:

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2 years ago

I need help with this question ASAP ! ASAP!!!!!! PLEASE!

irina1246 [14]

Answer:

One Triangle = 2.09 in²

Two Triangles = 4.18 in²

Rectangle = 17.48 in²

Total area of whole trapezoid = 21.66 in²

Step-by-step explanation:

Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.

Let's start with the triangles.

1. To find the area of a triangle, the formula is $\frac{1}{2} b*h$ . It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:

$\frac{1}{2} * 1.1 * 3.8 = 2.09$ in²

2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:

$2.09 *2=4.18$ in²

Moving on to the rectangle...

1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:

$4.6 * 3.8 = 17.48$ in²

Now to find the total area of all shapes combined...

1. To do this, we just need to add up all the areas we found, so...

17.48 + 4.18 = 21.66 in²

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2 years ago