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2 years ago

Combining like terms 6w+9w-4

Mathematics

2 answers:

mr Goodwill [35]2 years ago

7 0

Since 6w and 9w both are the same you add them, making it 15w; then just slap the -4 to the end. Thus, 15w-4.

nikklg [1K]2 years ago

3 0

6w plus 9w equals 15w
then -4
so the answer is 15w - 4

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A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is be

Mnenie [13.5K]

Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.

The volume of a pool of length l, width w and height h is given by:

$V = lwh$

Applying implicit differentiation, the rate of change of the volume is given by:

$\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}$

Neither the width nor the length changes, hence $\frac{dl}{dt} = \frac{dw}{dt} = 0$ , and:

$\frac{dV}{dt} = lw\frac{dh}{dt}$

We are given that:

$\frac{dV}{dt} = 0.3, l = 20, w = 40$ , hence:

$\frac{dV}{dt} = lw\frac{dh}{dt}$

$0.8 = 20(40)\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{0.8}{800}$

$\frac{dh}{dt} = 0.001
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Water level is rising at rate of 0.001 ft/sec.

A similar problem is given at brainly.com/question/9543179

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2 years ago

Josh runs 3 miles in 25 minutes. At the same rate, how many miles would he run in 20 minutes?

LUCKY_DIMON [66]

Answer:

Cross Multiplying to solve

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Step-by-step explanation:

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valentinak56 [21]

Answer:

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Step-by-step explanation:

When plugging in zero into the given equation:

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Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

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Rearranged equation:

$\lim_{x \rightarrow 0} \frac{1}{2 \sqrt{x + 7} }$

Plug zero back into equation:

$\lim_{x \rightarrow 0} \frac{1}{2 \sqrt{x + 7} } = \frac{1}{2 \sqrt{0 + 7} } = \frac{1}{2 \sqrt{7} }$

Answer:

$\lim_{x \rightarrow 0} \frac{\sqrt{x + 7} - \sqrt{7} }{x} = \frac{1}{2 \sqrt{7} }$

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Answer:

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