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sergey [27]
3 years ago
7

Find the missing length.

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

√113

Step-by-step explanation:

8*8 + 7*7 = c^2

64 + 49 = c^2

√113 =C

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
svp [43]

Answer:

Step-by-step explanation:

This is exponential, of the form

y=a(b)^x where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

y=1200(.97)^x

6 0
3 years ago
Use the distributive property -5 {x + 4} + -3x + -9x + -7
grin007 [14]

Answer:

-17x - 27

Step-by-step explanation:

Distributive property is the multiplication of the number outside the parenthesis and the ones inside.

-5(x + 4) + -3x + -9x + -7

-5x - 20 + -3x + -9x + -7

Combine like terms:

-5x - 20 + -3x + -9x + -7

-5x +-3x

 -8x + -9x

      -17x

-17x - 20 + -7

     -20 + -7

         -27

The answer is -17x - 27

Hope this helped.

8 0
3 years ago
Mrs. Ripley baked a pie for lunch, which she cut into 8 pieces. What percentage of the pie did Mrs. Ripley and her three friends
schepotkina [342]
B) 50%

4/8 (the fraction of the slices eaten)

Simplify

1/2 or 50%

Hope this helps!
3 0
3 years ago
19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Sonbull [250]

4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

First term: -20     Common Difference: 2.5

Explicit Rule:  a_n=2.5n-22.5       Recursive Rule: a_1=-20,\ a_n=a_{n-1}+2.5

5.

a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

First term: 123      Common Difference: 8

Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

3 0
3 years ago
A square has a perimeter of 38 inches we want to know the length of each side? Chose the best model for this problem. (Side leng
MakcuM [25]

Answer:

perimeter above side length four times

Step-by-step explanation:

we know that

The perimeter of a square is equal to

P=4b

where

b is the length side of the square

Solve the formula by b

That means----> isolate the variable b

Divide by 4 both sides

b=\frac{P}{4}

we have

P=38\ in

substitute

b=\frac{38}{4}=9.5\ in

Rewrite the expression  b=\frac{P}{4}

\frac{P}{b}=4

so

perimeter above side length four times

4 0
3 years ago
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