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3 years ago

2^4 2^3 2^2 2^1 what pattern do you notice?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

Really? The pattern is that this is probably influenced by is a negative exponential function. The pattern is that the exponent is decreased by one.

Step-by-step explanation:

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What is 32.5% as a fraction and decimal

m_a_m_a [10]

Decimal: 32.5
Fraction 65/2

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4 years ago

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A game is played with a deck of 50 cards numbered from 1 to 50. At the end of each round, players calculate their score by addin

liberstina [14]

Answer:

Step-by-step explanation:

Since the score is the sum of all cards a player has, the way to make it smallest is to use the smallest cards. So the 7 smallest cards are 1, 2, 3, 4, 5, 6 and 7. So you want to add these up. This gets 28

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3 years ago

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Fifty-six is equal to the product of 7 and a number

scoundrel [369]

56 is equal to the product of 7 and 8 hope it helps!

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3 years ago

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Does anyone know how to do this?

kolezko [41]

Answer:

x = 1
y = -7

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

7(2x +3y = -19) ⇒ 14x +21y = -133

2(-7x +2y = -21) ⇒ -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

(14x +21y) +(-14x +4y) = (-133) +(-42)

25y = -175 . . . . . . . . simplify

y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

2x +3(-7) = -19

2x = 2 . . . . . . . . . add 21

x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

<em>Additional comment</em>

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

3 0

3 years ago

PLEASE HELP DUE ON THURSDAY

valentinak56 [21]

Answer:

615.8 m^2
314.2 cm^2
38.5 ft^2
113.1 in^2
1075.2 m^2 . . . . corrected to 107,521.0 m^2
490.9 yd^2
18.8 m
94.2 in
81.7 ft
59.7 km
131.9 cm
144.5 yd

Step-by-step explanation:

The formula for the area of a circle is ...

A = πr^2

For each of the given circles, use the value of the radius in this formula. For example, for problem 2, the diameter is shown as 20 cm, so the radius is half that, 10 cm. Putting that value into the formula gives ...

A = 3.14159·(10 cm)^2 = 314.159 cm^2 ≈ 314.2 cm^2

___

The formula for the circumference of a circle is ...

C = 2πr . . . . when the radius is given

or ...

C = πd . . . . . when the diameter is given

As above, put the value for radius (or diameter) into the appropriate formula and evaluate it. For problem 12, that is ...

C = 3.14159·(46 yd) = 144.513 yd ≈ 144.5 yd

_____

<em>Comment on doing lots of problems</em>

The idea behind having you do lots of problems is that repetition will help you remember the formula and/or how to use it. Personally, I find it tedious, so I like to let a spreadsheet or graphing calculator do the arithmetic when there are lots of identical problems (just with different numbers). This question is posted in the college math forum, so we assume you have a graphing calculator and know how to use it.

The attached photo shows a calculator set up to do the calculation and the rounding for each of the problem types. To get the answer to the last area calculation requires scrolling to the right to find it is 490.9 yd^2.

Note that we have used the calculator's button for π. If you put the number in yourself, use the one shown above, or the ratio 355/113, which is accurate to 7 digits.

In some cases, the numbers in the photo are not terribly clear. I took my best guess. In the event I read the value or units incorrectly, you will have to make appropriate adjustments—that is, do the calculation yourself.

_____

Late edit: apparently I read the number wrong for problem 5. The area of a circle with radius 185 m is 107,521.0086 m^2, which rounds to 107,521.0 m^2. Oops.

3 0

3 years ago