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EleoNora [17]
3 years ago
11

If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70 hair bands, how many of them are greeen?

Mathematics
1 answer:
dsp733 years ago
3 0

ANSWER

45 green bands

EXPLANATION

The ratio of red hair bands to green hair bands is

5 : 9

The total ratio is:

9 + 5 = 14

If there are a total of 70 hair bands,

Then the number of green bands

=  \frac{9}{14}  \times 70

Simplify

= 9 \times 5

Multiply

= 45

Therefore, there are 45 green bands.

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The differential of

w = x \sin(2yz^4)

is

\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz

where the partial derivatives are

\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)

So the differential d<em>w</em> is

\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz

5 0
3 years ago
Plz help will give what I got (74 points)
meriva

Answer:

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.

            If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

            If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

Step-by-step explanation:

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Answer:

150

Step-by-step explanation:

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Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

M = \frac{2 + 3 + 5 + 7}{4} = 4.25

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92

The population standard deviation is 1.92.

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