Convert to standard form. y-5=-3(x+2)

Please help me with this question asap

Rama09 [41]

Answer:

no

Step-by-step explanation:

7 0

3 years ago

You have a chess board as pictured, with squares numbered 1 through 64. You also have a huge change jar with an unlimited number

ANEK [815]

Answer:

(a) 512 dimes

(b) $D(n) = 2^{n-1}$

(c) 9.22337 x 10¹⁸ dimes

(d) 9.22337 x 10¹² km

(e) roughly 61,489.13 times longer than the distance from the earth to the sun.

Step-by-step explanation:

b. Starting with 1 dime in the first square, if the number of dimes per each square is the double of the previous square, the general equation for the number of dimes in each square 'n' can be found by:

$D(1) = 1\\D(2) = 2^1\\D(3) = 2^2\\D(4) = 2^3\\D(n) = 2^{n-1}$

a. On the 10th square:

$D(10) = 2^{10-1}\\D(10) = 512\ dimes$

c. On the 64th square:

$D(64) = 2^{64-1}\\D(10) = 9.22337 *10^{18}\ dimes$

d. If a dime is 1 mm thick, the 64th pile will be:

$h= 9.22337*10^{18}*0.0001\ m\\h= 9.22337*10^{15}\ m\\h= 9.22337*10^{12}\ km$

e. The ratio between the height of the last pile (h) to the distance from the earth to the sun is:

$R=\frac{9.22337*10^{12}\ km}{150,000,000\ km}\\ R=61,489.13$

The height of the last pile is roughly 61,489.13 times longer than the distance from the earth to the sun.

5 0

3 years ago

I NEED HELP WITH #36

Roman55 [17]

Answer:

2 3/4 in

Step-by-step explanation:

The sum of the marked distances is equal to the total distances shown:

... (1 5/8) + ? + (1 5/8) = 6

... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left

... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses

... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)

... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below

... ? = 2 3/4

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Comment on subtacting mixed numbers

Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.

Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)

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Comment on doubling a fraction

As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.