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IRINA_888 [86]
3 years ago
7

(1/4) raised to the 3z-1 = 16 raised to the z+2 multiplied by 64 raised to the z-2

Mathematics
1 answer:
meriva3 years ago
6 0

:) Brainliest pls?

Answer:

z = 3/8

Step-by-step explanation:

(1/4)^(3z-1) = (64^(z-2)) * (16^(z+2))

The work is too much. I don't have a camera to take a photo of the paper.

z = 3/8

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ycow [4]

Answer:

540°

Step-by-step explanation:

inter angle vertex = 135°

135 + 135 + 135 + 135 = 540°

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3 years ago
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snow_tiger [21]

Answer:

24√(3) + 2506 , is the right answer

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The sale price of a computer us $294. What was the original price? if it is 70% off​
dybincka [34]

Answer:

392

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6 0
3 years ago
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The oil prices for 2014, rounded to the nearest dollar, were: 95, 101, 101, 102, 102, 106, 104, 97, 93, 84, 76, 59. what is the
kipiarov [429]
  • Interquartile Range (IQR) = Q_3-Q_1 , with Q_3 as the upper quartile and Q_1 as the lower quartile.

Firstly, rearrange the data so that it's in ascending order: \{59,76,84,93,95,97,101,101,102,102,104,106\}

Next, find the median:

\{59,76,84,93,95,\boxed{97,101,}101,102,102,104,106\}\\\\\frac{97+101}{2}\\\\\frac{198}{2}\\\\99

Now to find the lower quartile, find the "median" of the data set that's to the left of 99:

\{\overbrace{59,76,84,93,95,97}^{\textsf{to the left of the median}},101,101,102,102,104,106\}\\\\\{\overbrace{59,76,\boxed{84,93}95,97}^{\textsf{to the left of the median}},101,101,102,102,104,106\}\\\\\frac{84+93}{2}\\\\\frac{177}{2}\\\\88.5

Now to find the upper quartile, it's the similar process as finding the lower quartile, except that you are finding the "median" of the data set to the right of 99:

\{59,76,84,93,95,97,\overbrace{101,101,102,102,104,106}^{\textsf{to the right of the median}}\}\\\\\{59,76,84,93,95,97,\overbrace{101,101,\boxed{102,102} 104,106}^{\textsf{to the right of the median}}\}\\\\\frac{102+102}{2}\\\\\frac{204}{2}\\\\102

Now that we have the upper and lower quartile, subtract them:

102-88.5=13.5

<u>In short, the IQR of this data set is 13.5.</u>

8 0
3 years ago
A prism has a right triangle as its base.
gavmur [86]

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = \sqrt{10^{2}-6^{2}  }=8 cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is \frac{1}{2} \times 8 \times 6 = 24cm².

Therefore, the volume of the prism is = 24\times 7=168 cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

3 0
4 years ago
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