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3 years ago

I don’t get the second question.

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

it should be 3+(-7) because look at the number closest to the number line, which is positive 3 then the number next to it is negative 7 because it is heading downward towards the opposing side.

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For the polyhedron, use Euler's Formula to find the missing number.

Stella [2.4K]

9389173736189193 which means it is 10468292

6 0

3 years ago

Timothy purchased a computer for $1,000.

scoundrel [369]

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

$V(x) = V(0)(1-r)^x$

In which V(0) is the initial value and r is the decay rate. So

$V(x) = 1000(1-0.2)^x$

$V(x) = 1000(0.8)^x$

We want to find x for which V(x) = 512. So

$V(x) = 1000(0.8)^x$

$512 = 1000(0.8)^x$

$(0.8)^x = \frac{512}{1000}$

$(0.8)^x = (0.512)$

Applying log to both sides:

$\log{(0.8)^x} = \log{(0.512)}$

$x\log{0.8} = \log{(0.512)}$

$x = \frac{\log{0.512}}{\log{0.8}}$

$x = 3$

So it will take 3 years.

6 0

3 years ago

Write the value of the expression.

WARRIOR [948]

Answer:

Step-by-step explanation:

since the two numbers are the same up and down so the answer will be always 1

4 0

3 years ago

I need help on one of my math questions. It would be most helpful to get the answer as well as an explanation on how to do these

svlad2 [7]

This is a very interesting problem. What makes it so interesting is that
there's so little actual math to it. The only big Math thing you need to know
in order to work with this question is the definition of "perimeter".

"Perimeter" means

"the distance all the way around the edge of something".

The problem GIVES you the length of all the sides of both triangles.
To find the perimeter of one triangle, just take the lengths of its three
sides and addum up.

The perimeter of the blue one is (7x+7) + (5x-4) + (4x+2) .
That's it ! That's the perimeter. Of course, they want you to write
it in simplest form, so you have to clean it up. Remove all of the
parentheses, add up all the 'x's, and add up all the plain numbers,
and you'll have a short, pretty expression.

Then do the same thing for the red one, and get its perimeter.

In part-b, they want you to find the difference between the two perimeters.
No problem. Just write (the blue perimeter) minus (the red perimeter),
and simplify THAT expression.

Now they want the actual perimeters when 'x' is 3.
No big deal. Just take each separate perimeter, write '3' in place of 'x',
and find the number that the expression becomes.

Just now, looking at the picture without writing anything down,
I got 53 for the blue one and 17 for the red one.
I could easily be wrong, so you definitely have to work them
out for yourself.

7 0

3 years ago

2. (15 points) Shelly has a photo that is 7 1/3 inches tall. She wants to shrink it down to fit in a picture frame that is only

Inessa [10]

A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?

Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:

5 1/3 / 7 1/3 = 0.7272

Now rewrite the fraction as decimals:

2/3 = 0.667

¾ = 0.75

5/9 = 0.555

The closest scale that would still fit the frame would be 2/3 because it is under 0.727.

B. How much extra space is there in the frame when she uses the reduction from Part A?

Multiply the original size by the scale factor to use:

7 1/3 x 2/3 = 4 8/9

Now subtract the scaled size from the original size:

7 1/3 – 4 8/9 = 2 4/9 inches extra

C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?

Convert the scale from part A to a fraction:

0.72 = 72/99 which reduces to 8/11

5 0

3 years ago