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3 years ago

Place Math Quiz

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

c) $136,800

Step-by-step explanation:

Since the thing is 3 years and in 3 year there are 36 months. And since $3,800/mo so 36 x 3,800 = 136,800

So the answer is $136,800

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The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in

Orlov [11]

Answer:

Area swept by the blade = 448 $in^{2}$

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.

So, area of sector with r=24 in = $\frac{135}{360} *\pi *24^{2}$

Simplify it,

=216 $\pi$

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = $\frac{135}{360} *\pi *14^{2}$

Simplify it

=73.5 $\pi$

So, area swept by the blade = 216 $\pi$ -73.5 $\pi$

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

=447.6769

Round to nearest whole number

So, area swept by the blade = 448 $in^{2}$

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3 years ago

NEED HELP ASAP. This list describes the motion of a car:

LuckyWell [14K]

Answer:

Graph of Speed : where rule highway in major towns is now max 20,ph we can say the average speed is 12.

Step-by-step explanation:

average speed = f 1

f= beginning speed + final speed /2

average speed f2

f = 0 + 12 /2

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3 years ago

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Wich pair of equations below represents perpendicular lines? <br><br> Please!!!

bulgar [2K]

B) y = 5x + 15 and y = -5x + 15 I think.

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How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water

patriot [66]

That depends on what you are making. If you are going for the vinegar cleanse thing that some people do on their face, then I would recommend either using 120 oz of vinegar or 160 oz vinegar. If you want salad dressing, then you don't use water at all, and instead you use olive oil and salt, Dijon mustard, pepper, and something like chopped shallots, and with this you would use only 1 fluid ounce of vinegar (this is a recipe you can find on epicurious.com). So it really depends on what you are trying to do. I personally like my water without vinegar, and I think that vinaigrette salad dressing is a lot better without 80 oz of water, but that is a personal preference.

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3 years ago

There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL

Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since $\lim_{n \to \infty} \frac{a}{2^{n}b }$ = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

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3 years ago