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djverab [1.8K]
3 years ago
10

Finding percents 6% of 300

Mathematics
2 answers:
adell [148]3 years ago
7 0
6% means 6/100 or 0.06

"of" means "times"

0.06 x 300 = 18
Drupady [299]3 years ago
3 0
Solution
6% of 300
=6/100*300
=6*3
=-18
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If x is 5, then 6x = _____. 30 x 5 x 30
marin [14]

Answer:

6x = 30

Step-by-step explanation:

6x

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6*5 = 30

6x = 30

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The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

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(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

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x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

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"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

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5 0
3 years ago
At a local school dance, the booster club is having a fundraiser selling pictures. Pictures without frames sell for $5, and with
Sergeu [11.5K]
Let p = pictures only
let f = pictures with frames

p + f = 100
5p + 10f = 875

Solve for one variable in the first equation then plug into the second

p = 100 - f
5(100 - f) + 10f = 875
500 - 5f + 10f = 875
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75 pictures with frames were sold
5 0
3 years ago
Maya says that value of the 6 in 0.006 is 1/10 of the value of the 6 in 0.6 . Is she correct? Explain
Nikolay [14]

Answer:

Maya is NOT correct  as

\frac{1}{1000} is  1/100 of the value \frac{1}{10}

Step-by-step explanation:

The value of 6 in 0.006 = \frac{1}{1000}

Also, the value of 6 in 0.6  = \frac{1}{10}

But, \frac{1}{1000} is not 1/10  of the value  \frac{1}{10}

as 1/10  of the value  \frac{1}{10}  =  \frac{1}{100}

Hence,Maya is NOT correct.

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8 0
3 years ago
Does the following equation determine y to be a function of x? y square=x+3
Phantasy [73]

Answer:

∴ y² = x + 3 is not a function

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* Lets explain how to solve the problem

- The definition of the function is every input (x) has only one

  output (y)

- Ex:

# y = x + 1 where x ∈ R , is a function because every x has only

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# y² = x where x ∈ R , is not a function because y = ±√x, then one

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∵ (x + 3) must be greater than or equal zero because there is no

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∴ x ≥ -3

∴ x must be any number greater than or equal -3

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∴ y = √(0 + 3) = √3 and y = - √(0 + 3) = -√3

∴ x = 0 has two values of y ⇒ y = √3 and y = -√3

- Any value of x greater than or equal 3 will have two values of y

∴ y² = x + 3 is not a function

5 0
3 years ago
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