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damaskus [11]
3 years ago
13

Factor the expression.49×2-16​

Mathematics
1 answer:
MArishka [77]3 years ago
8 0

Answer:

49x²-16 = (7x - 4)(7x + 4)

Step-by-step explanation:

Your "49×2-16​" is incorrect; did you mean "49x^2-16​" or "49x²-16​?"

This last expression is the difference of two squares.

The formula for that is a² - b² = (a - b)(a + b), and so your 49x²-16 factors as follows:

49x²-16 = (7x - 4)(7x + 4)

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Ganezh [65]

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

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3 years ago
Using geometry, calculate the volume of the solid under z=64−x2−y2and over the circular disk x2+y2≤64
Anarel [89]
Perhaps you mean to find the volume under z=\sqrt{64-x^2-y^2}? It seems like you have to rely on calculus otherwise (in the case that you indeed mean z=64-x^2-y^2).

Assuming this, note that z=\sqrt{64-x^2-y^2} describes the top half of a sphere with radius 8, which means the volume below this surface over the disk x^2+y^2\le64 is simply half the volume of the sphere. Thus the volume is

\dfrac43\pi8^3=\dfrac{2048}3\pi
3 0
3 years ago
An Italian sausage is 9 inches long. The chef needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?
Pavel [41]
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6 0
3 years ago
QUESTION:
borishaifa [10]

Answer:

5643

Step-by-step explanation:

you add them together then you divide  

7 0
3 years ago
Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2
Nezavi [6.7K]

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable <em>X</em>, often denoted as E(<em>X</em>), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k}).

Therefore, the expected value of the winnings from a game is

\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth}).

4 0
2 years ago
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