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Irina-Kira [14]
3 years ago
9

Find the product and simplify your answer. 7a5(-3a⁴ + 5а - 5 )​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

-21x^9+35x^6-35x^5

Step-by-step explanation:

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To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?
romanna [79]
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.

The circle area is A=\pi r^2 and denote the sector area as A_1. 
Then  \dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}  (the ratio between area is the same as the ratio between coresponding angles).

A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}.

6 0
3 years ago
What are two equivalent forms for 15xyz+10xy+5x
7nadin3 [17]
We can express this number in the standard form, which is simply 15xyz+10xy+5x.  Alternatively, we can factor a 5 or an x out, receiving 5(3xyz+2xy+x) or x(15yz+10y+5).  However, the most effective factorization is to factor out 5x, for a result of 5x(3yz+2y+1).
3 0
3 years ago
Pls help and thank youuuuu
Evgen [1.6K]

Answer:

y=-2x+4

Step-by-step explanation:

The gradient = change in y / change in x

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3 0
3 years ago
a yard is equal in length to three feet. the function F(y) takes a measurement in yards (as inputs) and returns a measurement in
Lina20 [59]
1 yard = 3 feet
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3 0
3 years ago
Read 2 more answers
nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40
ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (V_{net}), measured in cubic milimeters, is the product of the number of elements (n), no unit, and the volume of each element (V), measured in cubic milimeters. That is:

V_{net} = n\cdot V (1)

By volume equation of right cylinder, we have the following formula:

V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h (2)

Where:

n - Amount of nickels, no unit.

D - Diameter of nickel, measured in milimeters.

h - Thickness of nickel, measured in milimeters.

If we know that n = 40, D = 20\,mm and h = 2\,mm, then the net volume of the stack of nickels is:

V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)

V_{net} \approx 25132.741\,mm^{3}

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0
3 years ago
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