Power of4 that range up to 1000

Answers

Answer 1

Answer: 10^4= 1000. Hope this helps

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YFind the slope of the line that passes through the points
(2,-5) and (7.1).
x
2
7
y
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Answers

Answer:

step 1:

2,-5

step 2:

7,1

step 3:

6/5

Step-by-step explanation:

The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = $216\ yd^2.$

Then , we have

$216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18$

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18

Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

You need to put your reindeer, Rudy, Ezekiel, Gloopin, Bloopin, and Prancer, in a single-file line to pull your sleigh. However, Bloopin and Rudy are fighting, so you have to keep them apart, or they won't fly. How many ways can you arrange your reindeer?

Answers

If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.

If Bloopin and Rudy are fighting, the reindeer do not fight, there are 72 ways that you can arrange your reindeer.

What are permutations?

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

If Bloopin and Rudy are fighting, the reindeer do not fight,

then there are 5! = 120 ways

Out of these, Bloopin and Rudy are together in 4! = 24 times.

Similarly, Rudy and Bloopin will be together 4! = 24 times.

So the number of ways they are not together

120-24-24 = 72 ways.

Learn more about permutations;

brainly.com/question/1216161

What is the value of 3x2 - 5xy + 5y2 for x = -6 and y = 2?

Answers

Answer is 188 3x2 - 5xy + 5y2 Now put x = -6 and y = 2 3(-6)2 - 5(-6)(2) + 5(2)2 3(36) - 5(-12) + 5(4) 108 + 60 + 20 188

marcella's house costs $120,000. she paid a 20% down payment and then borrowed the rest at 6.5% for 20 years how much will she borrow

Answers

120 000 dollars is the cost of her house.
She paid a downpayment which is 20% of it.
120000 * .20 = 24000 dollars
=> 120 000 - 24 000 = 96 000 dollars.
She paid it for installment for 20 years wth 6.5% interest.
=> 96000 * .065 = 6240 dollars interest per year
=> 6240 dollars * 20 years = 124 800 dollars
=> 96 000 + 124 800 = 220 800 dollars.

Algebra:

y= x+4
y= -x+2

Answers

to solve for the variables y and x we substitute the second equation into the first meaning that y = -x +2 you substitute y for (-x+2)
so

(-x +2) = x +4
add x to both sides
2 = 2x + 4
subtract 4 from both sides
-2 = 2x
divide by 2
-1 = x

now plug x back into the original equation

y = (-1) + 4
y = 3

and

y = -(-1) + 2
y = 1 +2
y = 3

there you have it x = -1 and y = 3

Hope this helps ;)

to solve what you need to do is
if y=x+4
and y=-x+2 so both equations have to equal the same thin so
x+4=-x+2
combine like terms and you get x=-x-2
then next equals 2x=-2
divide by 2 and last you get x=-1

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