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2 years ago

9

Pinciotto's lego company has $3.2*10(to the power of 8) to give out in bonus money to their employees. If there are 42000 employ

ees approximately how much will each employee receive. Write in standard form. Round to the nearest hundredth.

1 answer:

Rainbow [258]2 years ago

6 0

Answer:

7619.04

In scientific notation, it's 7.62 * 10^3

Step-by-step explanation:

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Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probabili

LenKa [72]

Answer:

D. 7/12

Step-by-step explanation:

First, find the total number of shirts in his closet:

4 + 3 + 5

= 12

Now, find how many are green or red:

4 + 3

= 7

Since 7 out of 12 shirts are green or red, the probability that Micheal chooses green or red is D. 7/12

8 0

3 years ago

Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

or

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

2 years ago

Read 2 more answers

What is the volume of a cube that measures 5 cm on each side?

lana [24]

V = a ^ 3

V= 5 ^ 3 = 125 cm cube

5 0

2 years ago

Ravi is riding his bicycle. He takes 6 hours to ride 76.8 kilometers. What is his speed?

Volgvan

Answer:

12.8km/hr

Step-by-step explanation:

Distance = 76.8km

Time = 6 hours

Speed = distance ➗ time

Speed = 76.8km ➗ 6 hours

Speed = 12.8km/hr

I hope this was helpful, Please mark as brainliest

7 0

3 years ago

2/3b+5=20−b Solve for b. Both sides have to be equal.

BigorU [14]

Answer:

B=9

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Hope this helps

3 0

2 years ago

Read 2 more answers