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allsm [11]
4 years ago
15

Express 0.001 in scientific notation by counting decimal places

Mathematics
1 answer:
kati45 [8]4 years ago
7 0
1 x 10-3 make sure the -3 is above the 10.
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Evaluate the exponential expression: (2x)2nd power −3y2nd power =___, if x = 5 and y = 3.
damaskus [11]

ANSWER

A. 73

EXPLANATION

The given expression is

(2{x})^{2}  - 3{y}^{2}

We substitute x=5 and y=3 to obtain:

(2 \times 5)^{2}  - 3{(3)}^{2}  =  {10}^{2}  - 3 \times 9

This simplifies to,

= 100 - 27

= 73

The correct choice is A.

8 0
3 years ago
Can someone help me and explain how you did it?
Feliz [49]

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

<h3><u>Finding the slope</u></h3>

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: \frac{y_2-y_1}{x_2-x_1}

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → \frac{1-4}{5-0} \rightarrow \frac{-3}{5}

This means the slope of the line is -3/5.

<h3><u>Finding the y-intercept</u></h3>

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

<h3><u>Finding the slope-intercept form</u></h3>

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

8 0
3 years ago
Read 2 more answers
Tracey paid $165 for an item that was originally priced at $470. What percent of the original price did Tracey pay? Round your p
solong [7]

(165/470) x 100%= 35.11%

4 0
3 years ago
What is the surface area for this rectangular pyramid 16in 16in 17in
vesna_86 [32]
If it’s 16 for base length and 16 for base width and 17 for height then this is the answer

8 0
3 years ago
Read 2 more answers
Which of the following inequalities defines the graph below ( Uppercase = _ under &gt;)
timurjin [86]

Answer:

A. x\geq -3

Step-by-step explanation:

See attached file :)

Hope this helps

All the love, Ya boi Fraser

8 0
3 years ago
Read 2 more answers
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