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Naily [24]
3 years ago
11

A coin is thrown at random into the red triangle below. A triangle with red outline. What is the likelihood that the coin will f

all into a blue region of the red triangle? It is certain. It is impossible. It is likely. It is unlikely.
Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

it is impossible

Step-by-step explanation:

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How do I solve this using the substitution method for finding anti derivatives?
rewona [7]
A bit blurry, but if I'm making it out correctly, that's

\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt

Set u=t^2-9. Then \mathrm du=2t\,\mathrm dt, or t\,\mathrm dt=\dfrac{\mathrm du}2. The integral is then equivalent to

\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du
=\dfrac12\dfrac{u^{5/2}}{\frac52}+C
=\dfrac12\times\dfrac25u^{5/2}+C
=\dfrac15u^{5/2}+C
=\dfrac15(t^2-9)^{5/2}+C
6 0
3 years ago
What is the inverse of the function 9y - 6 = 3x ?
IgorC [24]

Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = \frac{3x+6}{9}

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = \frac{3y+6}{9}

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

8 0
4 years ago
Which of the vectors below is the sum of vectors a and b, shown here?
Fofino [41]

Answer:

Option C

Step-by-step explanation:

To answer this question you must use the parallelogram method shown in the attached image.

To answer this question, use the parallelogram method as shown in the attached image.

-Place the vectors a and b at the same point of origin.

-On the tip of the vector b draws a vector a.

-On the tip of vector a to draw a vector b.

-Draw a vector "f" that goes from the origin to the corner of the parallelogram.

The vector "f" represents the sum of the vector a with the vector b.

The correct option is C


7 0
4 years ago
The Gonzalez family went to dinner at the Pizza Parlor. Mr. Gonzalez ordered a small pizza for $7.65. Mrs. Gonzalez ordered a ca
madam [21]

Answer:

Rational form:

399/100 = 3 + 99/100

Continued fraction:

[3; 1, 99]

Possible closed forms:

399/100 = 3.99

log(54)≈3.988984

8/(3 π) + π≈3.9904190

1/2 (e! + 1 + e)≈3.989551

-(sqrt(3) - 3) π≈3.983379

(14 π)/11≈3.9983906

25/(2 π)≈3.978873

(81 π)/64≈3.976078

(2 e^2)/(1 + e)≈3.974446

(π π! + 2 + π + π^2)/(3 π)≈3.988765

2 π - log(4) - 3 log(π) + 2 tan^(-1)(π)≈3.987955

2 - 1/(3 π) + (2 π)/3≈3.988291

Step-by-step explanation:

7 0
3 years ago
The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is
hammer [34]
2x - 5 < 7
2x = 12
x = 6

4x + 10 > 6
4x = - 4
x = - 1

( - 1 , 6 )

i am a mathematics teacher. if anything to ask please pm me
5 0
3 years ago
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