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1 year ago

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Last year, the workers at Mark's lawn care business mowed 16,607 lawns. If the company charges $39 to mow each lawn, how much di

d Mark's business earn last year?

1 answer:

uysha [10]1 year ago

4 0

Answer:

$647,673

Step-by-step explanation:

Since each lawn is $39 to mow, you would multiply 16,607 by 39 and you would get $647,673.

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Which ordered pair is a solution of the equation 2x − y = 9?

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2 years ago

Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.

mart [117]

Answer:

$a\cdot b=-2000\sqrt{2}$

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product a · b.

The formula of dot product is

$a\cdot b=|a||b|\cos \theta$

where, θ is the angle between a and b.

Substitute the given values in the above formula.

$a\cdot b=(80)(50)\cos (\frac{3\pi}{4})$

$a\cdot b=4000\cos (\pi-\frac{\pi}{4})$

$a\cdot b=-4000\cos (\frac{\pi}{4})$ $[\because \cos (\pi-\theta)=-\cos \theta]$

$a\cdot b=-4000\frac{1}{\sqrt{2}}$

$a\cdot b=-\frac{4000}{\sqrt{2}}$

Rationalize the above equation.

$a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}$

$a\cdot b=-\frac{4000\sqrt{2}}{2}$

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Therefore, the value of a · b is $a\cdot b=-2000\sqrt{2}$ .

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2 years ago

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dimulka [17.4K]

Answer:

8

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

$(\frac{10^4*5^2}{10^3*5^3})^3$

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:

$(\frac{10}{5})^3$

10 divided by 5 is 2, and 2 cubed is 8

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2 years ago