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BigorU [14]
3 years ago
5

Simplify the expression.

Mathematics
1 answer:
levacccp [35]3 years ago
4 0
Hi there! The answer is 30.

We need to use PEMDAS to simplify.
P = parenthesis
E = Exponents
M = Multiply
D = Dividing
A = Adding
S = Subtracting

10(4 \times 10 \div ( {6}^{2} - {4}^{2} ) + 1)
First find the exponents inside the middlest parenthesis.

10(4 \times 10 \div (36 - 16) + 1)
Now add inside the parenthesis.

10(4 \times 10 \div 20 + 1)
Multiply inside the parenthesis that are left.

10(40 \div 20 + 1)
Divide inside the parenthesis

10(2 + 1)
Add inside the parenthesis.

10(3)
Multiply.

30
~ Hope this helps you!
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
zalisa [80]

Answer: 272

Step-by-step explanation:

Let a1=11

a2=20

a3=29

Formula for sequence=

an=a1+(n-1)d

an = nth term

a1= first term

n= nth position

d= common difference

We are looking for the 30th term,so our n=30

d= a2-a1

d= 20-11

d= 9

Using the formula

an= a1+(n-1)d

a30= 11+(30-1)9

a30= 11+(29)9

a30= 11+(29×9)

a30= 11+261

a30= 272

Therefore, the 30th term is 272

8 0
3 years ago
A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approxima
Mrrafil [7]
1 mile = 1760 yards
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675.243~ / 60 = 11.2542~
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I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
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= -5(14) + 90
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