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Mashcka [7]
3 years ago
6

Need a little help with the math questions I displayed

Mathematics
2 answers:
andrew11 [14]3 years ago
7 0
( xy^2/ x^-3y^3)^-4

oee [108]3 years ago
3 0
Use:\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n


\left(\dfrac{xy^2}{x^{-3}y^3}\right)^{-4}=\left(x^{1-(-3)}y^{2-3}\right)^{-4}=\left(x^4y^{-1}\right)^{-4}\\\\x^{4\cdot(-4)}y^{-1\cdot(-4)}=\boxed{x^{-16}y^4}=\boxed{\frac{y^4}{x^{16}}}
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The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of
garik1379 [7]

Answer:

87.92 square inches

Step-by-step explanation:

Surface area for cylinder is given by 2\pi r^2 + 2\pi rh

where r is the radius and h is the height of cylinder.

Given that candle is cylindrical in shape

Thus, Surface area for candle is calculated as given below\\

Surface / area \ for \ candle = 2\pi r^2 + 2\pi rh\\=>Surface / area \ for \ candle = 2*3.14*3^2 + 2*3.14*5\\=>Surface / area \ for \ candle = 2*3.14*3^2 + 2*3.14*5 = 56.52 + 31.4\\=>Surface / area \ for \ candle = 56.52 + 31.4 = 87.92

Thus, total surface area for candle is 87.92 square inches.

8 0
3 years ago
Plz help I don’t get it
vlabodo [156]

Answer:

[4, positive infinity)

Step-by-step explanation:

since there is a closed circle on 4, we include 4 in the continuous interval, and we assume that the arrow represents continuity after the graph ends, so the interval of continuity is from 4 to positive infinity.

5 0
3 years ago
The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
Based on the box-and-whisker plot shown below, match each term with the correct value.
olga55 [171]
Here are the numbers that represent each based on the box plot:

Median: 11 (located at the vertical line in the middle of the box)
Range: 19 - 7 = 12 (highest value - lowest value)
25%:  9 (at the left end of the box)
75%: 14 (at the right end of the box)
Interquartile range: 14 - 9 = 5 (the distance from the beginning to the end of the middle half of the data)
3 0
3 years ago
Use the distributive property to find the value of x.
klio [65]
Sorry dudette bdbxyusuaywvs
5 0
3 years ago
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