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3 years ago

The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

Mathematics

1 answer:

Sav [38]3 years ago

3 0

1, the minimum of the function (x-h)^2+k is k, because ()^2 is zero or positive.

The minimum height in the plot is y=1, so that k=1!

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What is 8,473,227 rounded to the nearest 100,000

monitta

8,500,000

Round the number 4 to 5 because the number 7 is behind it.

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3 years ago

Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest

Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length $=\dfrac{\theta}{360^\circ}X2\pi r$

$=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)$

(b)Area of the sector

Area of the sector $=\dfrac{\theta}{360^\circ}X\pi r^2$

$=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$

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4 years ago

Read 2 more answers

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KatRina [158]

Answer:

B.Similar,sss

Step-by-step explanation:

Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.

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3 years ago

What is 4/7 of 70 apples

AlladinOne [14]

Answer:

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Step-by-step explanation:

4/7 of 70

1. rewrite in mathematical terms

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2. solve

4/7 * 70

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3 years ago

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Answer:

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Step-by-step explanation:

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If we derive this equation in terms of t, we have

$P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\$

The first term can be transformed like this:

$i*P_{0}*e^{it} = i*P(t)$

So replacing in the differential equation, we have

$dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d$

Rearranging

$dP/dt-i*P(t)=-d$

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3 years ago