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bagirrra123 [75]
3 years ago
10

2\times 3x\times y\times 4z\times 2x\times y\times z​

Mathematics
2 answers:
Arturiano [62]3 years ago
6 0

Step-by-step explanation:

48{x}^{2} {y}^{2} {z}^{2}

worty [1.4K]3 years ago
6 0

Answer:

48x^2y^2z^2

Step-by-step explanation:

2 \times 3x \times y \times 4z \times 2x \times y \times z

=> 2 \times (3x \times 2x) \times (y \times y) \times (4z \times z)

=> 2 \times 6x^2 \times y^2 \times 4z^2

=> 48x^2y^2z^2

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Neeeeeeeeeed helpppppppppppppppp
Marina86 [1]
The first option, because if it’s 291 yards and 1/4 BELOW (below: meaning negative because you are under the usual sea level).

-291 (1/4)

Hope this helped!
8 0
3 years ago
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
4 years ago
A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
Which expression is equivalent to the given expression?
USPshnik [31]

Answer:

A.

Step-by-step explanation:

The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.

3 0
3 years ago
Find M of angle ABC
pochemuha

Answer:

25

Step-by-step explanation:

\sf Answer \begin{cases}\sf \rightarrowtail \:( 3x - 6) + (2x + 25) + (x + 11) = 180 \\  \sf \rightarrowtail \: 3x - 6 + 2x + 25 + x + 11 = 180 \\  \sf \rightarrowtail \: 3x + 2x + x - 6 + 25 + 11 = 180 \\  \sf \rightarrowtail \: 6x + 30 = 180 \\  \sf \rightarrowtail \: 6x = 180 - 30 \\  \sf \rightarrowtail \: 6x = 150 \\  \sf \rightarrowtail \: x =  \frac{150}{6}  \\  \sf \rightarrowtail \: x = 25\end{cases}

5 0
3 years ago
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