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3 years ago

Power of powers property with and without variable

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer:

This property states that to find a power of a power we multiply the exponents.

Step-by-step explanation:

Hope this helps!

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What value of x makes this true 1.5x=120?

Debora [2.8K]

Answer: 80

Step-by-step explanation:

x.3/2 = 120

x = 120.2/3

x=80

5 0

3 years ago

Read 2 more answers

Find the distance between the points.<br> (0,4) and (-3,4)<br> The distance is

Inessa [10]

<h3>Answer: 3 units</h3>

=============================================================

Explanation:

The y coordinates are identical, so we just need to focus on the x coordinates.

Going from 0 to -3 is a distance of 3 units. Drawing out a number line might help.

Or we could apply subtraction and absolute value

|x1-x2| = |0-(-3)| = |0+3| = |3| = 3

which is the same as

|x2-x1| = |-3-0| = |-3| = 3

The absolute value is to ensure the result is never negative. Distance is never negative.

Side note: if the y coordinates weren't the same, then we'd have to use either the pythagorean theorem or the distance formula.

4 0

3 years ago

In a certain lottery, an urn contains balls numbered 1 to 26. From this urn, 6 balls are chosen randomly, without replacement

expeople1 [14]

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain lottery, an urn contains balls numbered 1 to 26

From this urn, 6 balls are chosen randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = $26C6 = \frac{26!}{20!6!} \\=230230$

The way he selects = 1

Hence probability of winning = $\frac{1}{230230}$

with one ticket

4 0

4 years ago

HELP I HAVE TO FINISH THIS FAST

Usimov [2.4K]

Answer:

13 minus 3x cubed

Step-by-step explanation:

6 0

3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

Power of powers property with and without variable ￼

Power of powers property with and without variable