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2 years ago

8

A grocery store sells 6 bottles of water for $4.00 ad 15 bottles of water for $10.00. Is the cost of the water proportional to t

he number sold? Explain

1 answer:

barxatty [35]2 years ago

7 0

Yes, the cost is proportional to the number of water bottles sold. 6 water bottles/$4.00 = 1.5 and 15 water bottles/$10.00 = 1.5.

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A lid on a circular container has a diameter of 9 cm. What is the approximate area of the lid? Use 3.14 to approximate pi and ro

kkurt [141]

Area=pir^2

diameter/2=radius
diameter=9
d/2=9/2=4.5=r

area=pi4.5^2
area=pi20.25
aproxpi=3.14
area=63.585
round hundreth
area=63.59

answer is 63.59cm^2

7 0

3 years ago

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What is the slope of the line passing through the points ( −3 , 4 ) and ( 4, −1 )?

ziro4ka [17]

Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7

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3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

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Replace $n+1$ with $n$ , so that the series is equivalent to

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and notice that

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which means

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2 years ago

If a=(-1, -3) and b=(11, -8) what is the length of ab?

professor190 [17]

Answer: D. The length is 13 units.

Step-by-step explanation:

(-1, -3 ) Find the difference between the x values and y values.

(11, -8)

-3-(-8) = 5

-1-11 = -12 now find the absolute values.

The absolute value of 5 is 5 . The absolute value of -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.

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2 years ago