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3 years ago

Please help?! I don't understand!

Mathematics

1 answer:

strojnjashka [21]3 years ago

6 0

(Problem Number Five Answer: Simplify exponent so you get -3)
(Problem Number Seven Answer:

Step 1: Simplify brackets

$4 x^{2} y^{3} *7xy$

Step 2: Gather like terms
 $4 * 7 x^{2} x y^{3} y$

Step 3: Use Product Rule $x^{a} x^{b= x^{a+b} }$ 

 $4* 7 x^{2+1} y^{3+1}$

Step 4: Simplify 2+1 to 3

$4*7 x^{3} y^{3+1}$

Step 5: Simplify 3 + 1 to 4
$4*7 x^{3} y^{4}$

Step 6: Simplify

 $28 x^{3} y^{4}$

Done! :)
(Problem Number 9 answer: Simplify the exponent so you get -5 )

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The value of Peter's house has risen 20% a year for the last 3 years. If the value of Peter's home 3 years ago was $110,000.00,

IRISSAK [1]

Increase $110,000 by 20% 3 times.

110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)

So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.

Add them
110,000 + 22000 = 132000

Take 20% of new value
132000 x 0.2 = 26400

Add that
132000 + 26400 = 158400

Take another 20% of that
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Add them
158400 + 31680 = 190080

So the value is now $190,080

A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.

Hope this helps!

4 0

3 years ago

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I need help please plz plz plz

Nitella [24]

With wat?
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Step by step explanation

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Suppose you have a random variable that is uniformly distributed between 1 and 29. what is the expected value for this random va

Kryger [21]

Assuming the distribution is continuous, you have

$\mathbb E(X)=\displaystyle\int_1^{29}\frac x{29-1}\,\mathrm dx=\dfrac1{28}\int_1^{29}x\,\mathrm dx=15$

If instead the distribution is discrete, the value will depend on how the interval of number between 1 and 29 are chosen - are they integers? evenly spaced rationals? etc

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3 years ago

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

Learn more about the area of a sector at

brainly.com/question/22972014

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