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Elden [556K]
3 years ago
5

Evaluate. Please answer! I'd appreciate it! ASAP

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

3 \sqrt{7}  \sqrt{7}  = 3 \sqrt{ {7}^{2} }  = 3 \times 7 = 21 \\ 6 \sqrt{ {7}^{5} }  = 6 \sqrt{ {7}^{4} \times 7 }  = 6 \times  {7}^{2}  \sqrt{7}  = 294 \sqrt{7}  \\  \frac{21}{294 \sqrt{7} }  =  \frac{1}{14 \sqrt{7} }  \\  \\ or \:  \frac{1}{14 \sqrt{7} }  \times  \frac{ \sqrt{7} }{ \sqrt{7} }  =  \frac{ \sqrt{7} }{14 \times 7}  =  \frac{ \sqrt{7} }{98}
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Simplify the expression. (81x^12/3x^3)^1/3
ser-zykov [4K]
Raise each number to the power outside the parentheses.

\left( \dfrac{81x^{12}}{3x^3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{12-3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3 \right) ^{ \frac{1}{3} } \times \left( x^{9} \right) ^{ \frac{1}{3} } \\

= \left( 3^{3 \times \frac{1}{3} } \right)  \times \left( x^{9 \times  \frac{1}{3} }} \right)  \\

= 3^1 x^3 \\

= 3x^3



6 0
3 years ago
How do you solve c for a/b=c
asambeis [7]
The variable your solving for should be on the left side, so just flip it
c=a/b
5 0
3 years ago
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year,
12345 [234]

Answer:

(1) a. 0.0009

(2) d. 0.640

(3)

  • a. P(A and B) = 0.06.
  • b. P(A or B) = 0.70.

(4)Not disjoint

(5) a. nearly 0.

(6)b. 0.919

Step-by-Step Explanation:

(1)Probability of a baby being born with a birth defect =3%=0.03

The probability that both babies have birth defects=0.03 X 0.03= 0.0009.

(2)The probability of contracting the influenza virus each year = 20%=0.2

Therefore, the probability of not contracting the influenza virus =1-0.2=0.8

The probability that neither baby catches the flu in a given year:

=0.8 X  0.8

=0.64

(3)

P(A)=0.1

P(B)=0.6

P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7

P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06

(4)

P(A)=0.2

P(B)=0.9

Event A and B cannot be disjoint.

(5)

The probability of an American woman aged 20 to 24 having Chlamydia infection  =\dfrac{2791.5}{100000}

The probability that three randomly selected women in this age group have the infection

=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection  =1-\dfrac{2791.5}{100000}

The probability that three randomly selected women in this age group do not have the infection

=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919

7 0
4 years ago
Find the average value of the function over the given solid. The average value of a continuous function f(x, y, z) over a solid
ratelena [41]

Compute the volume of Q:

\displaystyle\iiint_Q\mathrm dV=\int_0^2\int_0^{2-x}\int_0^{2-x-y}\mathrm dz\,\mathrm dy\,\mathrm dx=\frac43

Integrate f(x,y,z)=x+y+z over Q:

\displaystyle\iiint_Qf(x,y,z)\,\mathrm dV=\int_0^2\int_0^{2-x}\int_0^{2-x-y}(x+y+z)\,\mathrm dz\,\mathrm dy\,\mathrm dx=2

So the average value of f over Q is 2/(4/3) = 3/2.

4 0
4 years ago
Please help , giving brainliest and a thanks!!
pashok25 [27]

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

7 0
3 years ago
Read 2 more answers
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