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3 years ago

I see 2 people sitting on the bench at the playground. One was Deaf and one was blind.

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

the blind one

Step-by-step explanation:

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Factor completely:<br>64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

3 years ago

The value of the 4th term is 80. the sequence is being doubled each step what is the 7th term?

leva [86]

This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10

7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640

8 0

3 years ago

Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark’s income for the

Lina20 [59]

Answer:

59,000 * .02= $1,180 commission plus $300 = $1480

3 0

3 years ago

Solve for b: A= (h(a+b))/2

tresset_1 [31]

A= (h(a+b))/2

multiply each side by 2

2A = (h(a+b))

divide each side by h

2A/h = a+b

subtract a from each side

2A/h -a = b

6 0

3 years ago

If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

$\displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}$

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

$\displaystyle \large{y = 2.5x }$

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

$\displaystyle \large{1577847.6 = 2.5x}$

Divide both sides by 2.5

$\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }$

5 0

2 years ago