3 years ago

Answers for topic 2 lesson 6

Mathematics

1 answer:

Gnom [1K]3 years ago

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Lin multiplies 7/8 times a number. The product is less than 7/8. Which could be Lin’s number?

RSB [31]

Answer:

So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.

Step-by-step explanation:

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2 years ago

Niech ktoś pomoże !<br> a)5 2\7 +1 3\7 -1\7=<br> b)4 5\9 -2 4\9 +3 2\9=<br> c)2 2\3 -(1 4\9 +2 3\9=

kvv77 [185]

A) 6 4/7

B) 5 3/9

C) 6 6/3

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3 years ago

Gavin, Harry and Isabel each earn the same monthly salary. Each month, Gavin saves 28% of his salary and spends the rest of his

Phoenix [80]

Answer:

ok then

Step-by-step explanation:

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2 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

$-3 = 2*9\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

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Answer:

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