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I am Lyosha [343]
3 years ago
10

PLEASE HELP ASAP (MATH) WRITE IN STANDARD FORM!

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
  • Answer:

<em>3×10⁵</em>

  • Step-by-step explanation:

<em>Hi there !</em>

<em />\frac{9.6*10^{7}}{3.2*10^{2}}=\\ \\=3*10^{7-2}\\ \\=3*10^{5}<em />

<em>Good luck !</em>

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NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.
PilotLPTM [1.2K]

Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

y = 3x

We want everything below this line (line included), so the first inequality is

y \leq 3x

The line between the origin and B is

y = \dfrac{1}{3}x

We want everything above this line (line included), so the second inequality is

y \geq \dfrac{1}{3}x

Create a system with these two inequalities and you'll have an area including only points A and B

Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}

Which means

A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have

B:\ 1

And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6

3 0
2 years ago
X
Oxana [17]
I don’t quite understand this question since it’s all spaced out and there’s no picture but since domain is x/the indecent variable, “x = -6, -1, 0, 3” (the first answer choice” is correct
3 0
3 years ago
It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce
Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0
3 years ago
Leah invested $400 in an account paying an interest rate of 1\tfrac{1}{2}1
fomenos
11,102$ lemme get yo number shordy i got the answer right on slime
6 0
3 years ago
The volume of a soap bubble is 1,203.6 mm^3. Find the radius and diameter of the soap bubble. Use 3.14 for it.​
madreJ [45]

The radius of the soap bubble=6.6 mm

The diameter of the soap bubble=13.2 mm

<u>Step-by-step explanation:</u>

The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.

volume=1203.6mm^3

The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.

volume=\frac{4}{3} \pi r^3\\1203.6=\frac{4}{3} \times 3.14\times r^3\\r^3=\frac{1203.6\times 3}{4\times3.14} \\r^3=287.48\\r=6.59 mm

The radius of the soap bubble is 6.6 mm.

diameter=2\times radius\\=2\times 6.6\\13.2 mm

The diameter of the soap bubble is 13.2 mm

8 0
3 years ago
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