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BigorU [14]
2 years ago
6

What are the solution(s) to the quadratic equation 40 − x2 = 0?

Mathematics
2 answers:
alina1380 [7]2 years ago
8 0

Answer:

x=+2\sqrt{10}

x=-2\sqrt{10}

Step-by-step explanation:

40-x^2=0

To solve for x , subtract 40 from both sides

-40+40-x^2=0-40

-x^2=-40

Divide both sides by -1

x^2= 40

Take square root on both sides

\sqrt{x^2} =\sqrt{40}

x=+-2\sqrt{10}

The values of x are

x=+2\sqrt{10}

x=-2\sqrt{10}

Anni [7]2 years ago
4 0
X = 20
First, you move the 40 to the other side.
-2x=-40
Then, you divided -40 by -2.
x= -40/-2
x= 20
x is 20 because the negatives cancel out making it positive.
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A case in riverhead, new york, nine different crime victims listened to voice recordings of five different men. all nine victims
Alexus [3.1K]

the complete question in the attached figure

1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

2) what is the probability that the first victim picks SOMEONE? ANYONE? 

P=(1/5)=0.20  ---------------- > 20%

3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)=0.04 --------------> 4%

4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%

5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1? 

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

6) Once you find all those probabilities, what rule would apply?

the probability is given by (1/5)^n

n=number of victims that pick the same person---------> in this problem = 9

P=(1/5)^9= 0.000000512

5 0
2 years ago
A circle fits inside a semicircle of diameter 24mm
patriot [66]

Answer:

The shaded are is 113\ mm^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

where

r=24/2=12\ mm ----> the radius is half the diameter

substitute

A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

A=\pi r^{2}

where

r=12/2=6\ mm ---> the radius of circle inside is half the radius of semicircle

substitute

A=\pi(6)^{2}=36\pi\ mm^{2}

step 3

Find the shaded area

72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}

assume

\pi=3.14

36(3.14)=113.04\ mm^{2}

3 significant figures is

113\ mm^{2}

6 0
2 years ago
Qing attached a dog ramp to her bed, which allows her dog to easily climb onto the mattress. The ramp is 48 inches long. The bas
geniusboy [140]
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
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4 0
2 years ago
311, 305,299,...Find the 32nd term.
adell [148]

Answer:

503

Step-by-step explanation:

4 0
1 year ago
Consider the equation y=2x+5 . Create a table of five ordered pairs that satify the equation. What is the y-intercept of the equ
kupik [55]
Since y=mx+b is the slope-intercept form of a line, where m=slope and b=y-intercept, we can see that:

The y-intercept is 5 (technically the point (0,5))

The x-intercept occurs when y=0 so:

2x+5=0

2x=5

x=2.5

So the x-intercept is the point (2.5, 0)


5 0
2 years ago
Read 2 more answers
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