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Cloud [144]
3 years ago
15

Ten times the sum of a number and 8 is 73

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0
10(n+8) = 73

if you need to find the number then
10n + 80 = 73
10n = -7
    n = -7/10
    n = -0.7
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Use Pascal’s Triangle to expand the binomial. (8v+s)^5
il63 [147K]
<span>Pascal 's triangle is 
</span>

1<span>
</span><span><span>1,1</span><span>
</span></span><span><span>1,2,1</span><span>
</span></span><span><span>1,3,3,1</span><span>
</span></span><span><span>1,4,6,4,1</span><span>
</span></span><span>1,5,10,10,5,1</span>

the row <span>1,5,10,10,5,1</span> is the one we need to expand <span><span><span>(8</span>v+s)</span></span>⁵.

Given <span><span>(a+b)</span></span>⁵ each term of the row is the coefficient of akbt

with k goes form 5 to 0 and t goes from 0 to 5.

so <span><span><span><span>(a+b)</span></span></span></span>⁵=1a⁵b⁰+5a⁴b¹+10a³b²+10a²b³+5a¹b⁵+1a⁰b⁵

<span><span>=<span>a</span></span></span>⁵+5a⁴b+10a³b²+10a²b³+5ab⁵+b⁵.

In the case of <span><span><span>(8</span>v+s)</span></span>⁵:

<span><span>a<span>=8</span>v</span><span>
</span></span><span>b=s</span>

<span><span>1<span><span>(8</span>v)</span></span></span>⁵s⁰+5(8v)⁴s¹+10(8v)³s²+10(8v)²s³+5(8v)¹s⁵+1(8v)⁰s⁵

<span> <span><span><span>=<span><span> (8</span>v)</span></span></span></span>⁵+5(8v)⁴s+10(8v)³s²+10(8v)²s³+5(8v)s⁵+s⁵=</span>

<span><span><span>= 8</span></span></span>⁵v⁵+5⋅8⁴v⁴s+10⋅8³v³s²+10⋅8²v²s³+40vs⁵+s⁵=

<span><span><span>= 32768</span><span><span>v</span></span></span></span>⁵<span><span><span>+20480</span><span><span>v</span></span></span></span>⁴<span><span><span>s</span><span>+5120</span><span><span>v</span></span></span></span>³<span><span><span><span>s</span></span></span></span>²<span><span><span>+640</span><span><span>v</span></span></span></span>²<span><span><span><span>s</span></span></span></span>³<span><span><span>+40</span><span>v<span>s</span></span></span></span>⁵<span><span><span>+</span><span>s</span></span></span>⁵<span>.</span>
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3 years ago
The economic growth of a region has followed a cyclic pattern over several decades, reaching its peak about 5 years from the end
True [87]
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3 years ago
ABC is isosceles AC=20 and BC= 3x-7
Brrunno [24]

Answer:

x=9

Step-by-step explanation:

7 0
3 years ago
PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEE I BEG YOU ITS DUE TOMMOW I NEED TO GET THIS DONE DDDD:
Rama09 [41]

Answer: Yes it will, 3.75

Step-by-step explanation:

Ok lets break this down. Let's break it down like a EUROBEAT dubstep track hot off the rack (oh yea).

Look: area is width times height. ok... interesting.

Lets put this in some FANCY LOOKING EQUATION.

........can we actually replace some words with what we have in the question? OH YEA WE CAN.

14 \frac{1}{16}  =  3 \frac{3}{4} * height

DUDE. THERES ONLY ONE VARIABLE MISSING theoretically we can do some ALGEBRA and find out what the height is. ok? this sounds cool but man these fractions are annoying so lets convert them into numbers. what is 1 / 16? put that in a calculator, slam it in like youre putting a BAKED APPLE PIE in the oven and pull it out and 1 / 16 is equal to 0.0625. ok so lets combine that with 14. and we get 14.0625 (this is convenient).

can we do the same process with the other number? 3 / 4 is equal to 0.75. combine it with 3 and we get 3.75.

14.0625 = 3.75 * height

WOW I DONT KNOW ABOUT YOU BUT THIS LOOKS A LOT CLEANER.

lets do some algebra and this means that we must do opposite on both sides. 3.75 times the height.. what is the opposite of this? 3.75 divided by height. divide 3.75 on both sides by slamming it into a calculator like youre putting an apple pie in the oven and (14.0625 divided by 3.75)

3.75 = height

the answer is 3.75. INTERESTING! THE HEIGHT IS 3.75!

what does this mean?

it will fit. because 3.75 is less than 4. THERE IS ENOUGH SPACE! YAAAAY! we have enough space for a mirror. Yes it will. because the height is 3.75 feet.

swag.

6 0
2 years ago
Read 2 more answers
The ration of red marbles to white ones is 13 to 12. If there are 3,081 red marbles how many white ones are there?
Black_prince [1.1K]

Answer:

2844

Step-by-step explanation:

13 is to 12 as 3081 is to x. 13/12 = 3081/x. 12 * 3081 = 13x.

36972 = 13x. divide both sides by 13, you're left with 2844.

7 0
2 years ago
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