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3 years ago

(-7x3 + 5ax - 3) + (7x3 + 5 - 9ax)

Mathematics

1 answer:

Semmy [17]3 years ago

5 0

Answer:

-7x^3 + 5ax - 3 + 7x^3 + 5 - 9ax

-4ax + 2

answer is c

Step-by-step explanation:

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The volume of a spherical cancerous tumor is given by the following equation. V(r) =(4/3)pi r^3 If the radius of a tumor is esti

Dimas [21]

Answer:

The error that might occur is $\±0.123cm^3$

Step-by-step explanation:

Given

$V = \frac{4}{3}\pi r^3$

$Radius,\ r = 1.4cm$

$Error = 0.005cm$

Required

Determine the error that might occur in the volume of the tumor

Given that there's an error in measurement, this question will be solved using the concept of differentiation;

First, we'll rewrite the given parameters in differentiation notations;

$r = 1.4$ --- Radius

$dV = \±0.005$ --- Change in measurement

$V(r) = \frac{4}{3}\pi r^3$ --- Volume as a function of radius

The relationship between the above parameters is as follows;

$\frac{dV}{dr} = V'(r)$

This can be rewritten as

$\frac{dV}{dr} = (V(r))'$

Substitute $\frac{4}{3}\pi r^3$ for $V(r)$

$\frac{dV}{dr} = (\frac{4}{3}\pi r^3)'$

Multiply both sides by dr

$dr * \frac{dV}{dr} = (\frac{4}{3}\pi r^3)' * dr$

$dV = (\frac{4}{3}\pi r^3)' * dr$

$dV = \frac{4}{3}\pi( r^3)' dr$

Differentiate

$dV = \frac{4}{3}\pi( r^3)' dr$

$dV = \frac{4}{3}\pi* 3r^2\ dr$

$dV = 4\pi* r^2\ dr$

Substitute the values of r, dr and take $\pi$ as 3.142

$dV = 4 * 3.142* 1.4^2 * \±0.005$

$dV = \±0.1231664$

$dV = \±0.123$ <em>(Approximated)</em>

Hence, the error that might occur is ±0.123

6 0

3 years ago

To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare

bogdanovich [222]

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

$\frac{16}{8}:\frac{8}{8}$

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

4 0

3 years ago

In a greenhouse, basil is grown in planters that have a base of 4 1 4 in by 1 2 3 in. If there is a 4 × 4 array of these planter

Kryger [21]

Answer:

The area covered by the planters is 113.6 square inches.

Step-by-step explanation:

Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:

length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches

width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches

The area of the greenhouse is given by:

area = length*width

area = (17/4)*(5/3) = 85/12 = 7.1 square inches

Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches

8 0

3 years ago

Derek bought 15 feet of rope for a science project. if he used 10 3/8 feet of the rope, how many feet of rope does he have left

Lubov Fominskaja [6]

Answer:

155.625 or ( 89/160 )

Step-by-step explanation:

7 0

3 years ago

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Solve the following multiplication problems. a. 9 kg 3 hg 1 cg × 9 = b. 11 dg 4 cg × 12 = c. 10 g 5 dg × 6 = d. 5 g 3 dg 4 cg ×

larisa86 [58]

I do not understand could you make the equation more clearer??

6 0

4 years ago