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stepladder [879]

2 years ago

7

Divide 800ml into ratio 3:7

1 answer:

Black_prince [1.1K]2 years ago

7 0

Simply take the numerator (3) and denominator (7) and add them together.

3+7 = 10, which means that the ratio will provide parts that are in multiples of 10 depending on the total

so take 10x = 800

x = 80.

Then multiply this by the numerator and denominator

3*80/7*80 = 240/560.

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The number of people in thousands who own a cell phone is a function of the time in years starting in 1990 where p(t) = 20(1.075

Julli [10]

Try to look it up tbh

4 0

2 years ago

15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

2 years ago

Round 36.319 to the nearest tenth

vampirchik [111]

36.3 because the digit in the hundredths place is not 5 or greater

3 0

2 years ago

Read 2 more answers

Please help me 25 points and the best answer will be marked as brainliest

Zanzabum

May be answer 01
I cant understand the question

7 0

2 years ago

Income Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the capital value of this endo

Mrac [35]

Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

We have given principal amount P = $42000

Rate of interest r = 7.5 %

Time t = 1 year

Capital value is given by $A=P(1+\frac{r}{100})^n$

So $A=42000\times (1+\frac{7.5}{100})^1$

$A=42000\times 1.075=45150$

So capital value after 1 year will be equal to $45150

4 0

2 years ago