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Nookie1986 [14]
2 years ago
11

What inequality is on the number line?​

Mathematics
1 answer:
Elis [28]2 years ago
7 0
Answer:
y ≥ -5

Explanation:
y is greater than -5 because the darkened line is heading towards the positive side.
(The positives are greater than the negatives.)
(The smaller negative numbers are greater than the larger negative numbers.)
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Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.
sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

We have

x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t

y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t

Now,

\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t

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\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt

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8 0
2 years ago
The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
Nostrana [21]

Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

\frac{a}{b} = \frac{3}{1} ( cross- multiply )

a = 3b

\frac{b}{c} = \frac{1}{5} ( cross- multiply )

c = 5b

------------------------------------------

Given

\frac{2a+3b}{4b+3c} , substitute values from above for a and c

= \frac{2(3b)+3b}{4b+3(5b)}

= \frac{6b+3b}{4b+15b}

= \frac{9b}{19b} ← cancel b on numerator/ denominator

= \frac{9}{19} → B

6 0
3 years ago
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height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

6 0
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A group of employees bought a get-well gift for a co-worker. The gift cost $16.06. If there are 22 employees in the group, how m
Kazeer [188]
First you do 16.06 divid by 22 which equals 0.73 cents
5 0
3 years ago
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Katy has a choice. She can buy a book of 6 round trip bus tickets from
Ne4ueva [31]

Answer:

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Step-by-step explanation:

6 0
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