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Amanda [17]
4 years ago
8

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40

minutes in the fourth week. Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? Amanda's method is linear because the number of minutes increased by an equal number every week. Billy's method is linear because the number of minutes increased by an equal factor every week. Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week. Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.
Mathematics
1 answer:
anastassius [24]4 years ago
6 0
The second one, Amanda's method is linear because the number of minutes increased by an equal number every week. Billy's method is linear because the number of minutes increased by an equal factor every week.
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Answer:

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If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
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8 feet

Step-by-step explanation:

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77 feet I according to my calculations :)
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How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

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Using this result, the speed of the river in kilometers per hour will be:

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Answer:

The formula for the area of the triangle is:

\displaystyle A=24x^2

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

\displaystyle A=\frac{1}{2}bh

So, by substitution:

\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2

When <em>x </em>= 3, the area will be:

\displaystyle A(3)=24(3)^2=216\text{ cm}^2

And when <em>x</em> = 2.4, the area will be:

A(2.4)=24(2.4)^2=138.24\text{ cm}^2

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

a^2+b^2=c^2

So:

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The hypotenuse will be:

c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}

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