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3 years ago

2√7 times 3 √21 simply

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

21=3*7
(2√7)(3√(3*7)=6√(3*7²)=6*7(√3)=42√3

Answer: (2√7)(3√21)=42√3

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the equation f=v+at represents the final velocity of an object f, with an initial velocity,v, and an acceleration rate a,over ti

vfiekz [6]

F=v+at
f-v=at
(f-v)/t =a
the first choice is correct :)

3 0

3 years ago

A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

4 years ago

If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.

aivan3 [116]

Answer:

The probability that you will get the job If you apply for a job with Globo Corp=0.36

Step-by-step explanation:

We are given that

If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75

If you get an interview, then the probability of getting job=P(B)=48%=0.48

We have to find the probability that you will get the job If you apply for a job with Globo Corp.

If you apply for a job with Globo Corp, the probability of getting job= $P(A)\times P(B)$

If you apply for a job with Globo Corp, the probability of getting job= $0.75\times 0.48$

If you apply for a job with Globo Corp, the probability of getting job=0.36

Hence, the probability that you will get the job If you apply for a job with Globo Corp=0.36

6 0

3 years ago

Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?

Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

4 0

3 years ago

If fx = 2x^2 + 3 and g(x) = x^2 - 7 find (f - g) (x)

Semmy [17]

(f-g) (x) means to subtract g(x) from f(x)

F(x) = 2x^2 +3

g(x) = x^2

This becomes:

2x^2 + 3 - x^2 = x^2 +3

3 0

3 years ago