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1 year ago

What does 6×10^21 mean

Mathematics

2 answers:

Rzqust [24]1 year ago

8 0

Answer:

It means 6 multiplied by 10 raised to the power of 21

DedPeter [7]1 year ago

6 0

Answer:

Step-by-step explanation:

6x10 to the power of 21 the answer is too long for my calculator sadly

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Which of the following equations have exactly one solution? Choose all answers that apply:

muminat

Answer:

Step-by-step explanation:

Well lets look,

If both slopes are different and have different y intercepts they have 1 solution.

So a has 1 solution

Both slopes are different with different y intercepts.

1 solution

Both slopes are different with different y intercepts

1 solution

Different slopes different y intercepts

1 solution.

For proof look at the images below.

Thus,

the answer is a,b,c, and d.

Hope this helps :)

3 0

3 years ago

Sarah wrote a computer program that generates two random numbers between one and nine. when she runs it, what is the probability

Oksana_A [137]

Answer:25/121

Step-by-step explanation:

3 0

3 years ago

On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago

The equation of a circle is x squared + (y-10) squared = 16.

BaLLatris [955]

The radius of the circle is $\sqrt{16}$ , which is 4
The center of the circle is at (0,10)

3 0

4 years ago

Solve for x <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%206%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B2x%20%2B%205%7D%7B3%7

Marizza181 [45]

Answer:

x = 9.5

Step-by-step explanation:

Given

$\frac{4x-6}{4}$ = $\frac{2x+5}{3}$ ( cross- multiply )

3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides

12x - 18 = 8x + 20 ( subtract 8x from both sides )

4x - 18 = 20 ( add 18 to both sides )

4x = 38 ( divide both sides by 4 )

x = $\frac{38}{4}$ = 9.5

6 0

4 years ago