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kolbaska11 [484]
3 years ago
13

What is 643 = 4 x 160 + n

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0
Its 3 cause 160 x 4 is 640 , so 643 - 640 is 3 so the answer of the problem is 3
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Please hurry I will mark you brainliest.
ivann1987 [24]

Answer:

12862.83cm³

Step-by-step explanation:

Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]

Volume of the Sphere: [\frac{4}{3}\pi r^{3}] (\pi=pi=3.14) (r=radius=15) or [\frac{4}{3}×3.14×3375] or [14137.17cm³]

Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³

Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)

Hope I helped!

4 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5
Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is \sqrt{n + 5} - \sqrt{n - 10} = 1 and we have to solve it for n.

\sqrt{n + 5} - \sqrt{n - 10} = 1 ........... (1)

⇒ \frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1  

{Rationalizing the numerator}

⇒ \sqrt{n + 5} + \sqrt{n - 10} = 15 .............. (2)

Now, adding (1) and (2) we get

2\sqrt{n + 5} = 16

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

4 0
3 years ago
Help me please
deff fn [24]

Answer:

(x-1)^2 + y^2 = 25

Step-by-step explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25

5 0
2 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
Graph 14x+34y=1 pretty please with a cherry on top!Also thank-you
Svetlanka [38]
To make it much easier, it should be converted to the slope-intercept form
 y = mx + b

To do so, 14x + 34y = 1 turns to:
34y = -14x + 1

Divide both sides by 34:
\frac{34y}{34} =  \frac{-14}{34} x +  \frac{1}{34}
Simplified:
y = \frac{-7}{17} x + \frac{1}{34}

Answer: y = -\frac{7}{17} x + \frac{1}{34}
Here is the graph:




4 0
3 years ago
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