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3 years ago

Please help me with this question!

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

All are correct except C

You need to check: A, B and D

Hope it helps.

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HELP ASAPP !! Select the correct answer.

Vika [28.1K]

Answer:

A) $I=\frac{P}{4\pi r^2}$

Step-by-step explanation:

To isolate $I$ , we need to divide both sides by $4\pi r^2$ . Therefore, the answer is $I=\frac{P}{4\pi r^2}$ .

4 0

3 years ago

Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

Delicious77 [7]

ANSWER

$y = 5\sin( \frac{\pi}{3} x - \frac{2\pi}{3} )$

EXPLANATION

Let the equation of the sine curve be of the form;

$y = a \sin(bx + c)$

where a=5 is the amplitude and period,

$\frac{2\pi}{b} = 6$

This implies that

$b = \frac{2\pi}{6}$

$b = \frac{\pi}{3}$

We substitute the values we got so far into our equation to obtain;

$y = 5\sin( \frac{\pi}{3} x + c)$

When we substitute (2,0) we obtain;

$0= 5\sin( \frac{2\pi}{3} + c)$

Solve for c.

$\sin( \frac{2\pi}{3} + c) = 0$

$\frac{2\pi}{3} + c = \sin^{ - 1} (0)$

$\frac{2\pi}{3} + c = 0$

$c = - \frac{2\pi}{3}$

Hence our equation becomes

$y = 5\sin( \frac{\pi}{3} x - \frac{2\pi}{3} )$

The correct choice is D.

4 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

Talja [164]

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$450\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 450=3000\left( \frac{r}{100} \right)(3)\implies 450=\cfrac{3000\cdot 3}{100}r \\\\\\ 450=90r\implies \cfrac{450}{90}=r\implies 5=r\implies \stackrel{\textit{in decimal}}{0.05=r}$

4 0

3 years ago

How to evaluate the expression

noname [10]

$[(-72) \div (-2)]^3 - (-7) \times (-10)$

$= [36]^3 - (-7) \times (-10)$

$=46656 - (-7) \times (-10)$

$=46656 - (70)$

$=46586$

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

$2^3 - 9 \times (2 - 4)$

$= 8 - 9 \times (-2)$

$= 8 - (-18)$

$= 8 + 18$

$= 26$

4 0

3 years ago

Needdd helpp noww please<br><br> Giving extra points

melomori [17]

Answer:

Step-by-step explanation:

5 0

3 years ago