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ioda
3 years ago
5

1. Write the solution set of each equation. (a) [x - 5] = 12

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0
<h3>Solution:</h3>

(x - 5) = 12 \\  =  > x = 12 + 5 \\  =  > x = 17

<h3>Answer:</h3>

The answer is 17.

skad [1K]3 years ago
3 0

[x-5] = 12

x = 12+5

x = 17

................

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Bobcat Park is a rectangular park with an area of 5 2/5 square miles.Its width is 1 11/25 miles.How long is the park?
ELEN [110]
I believe it is 3.75 miles. 5 2/5=5.4 and 1 11/25=1.44. 5.4/1.44=3.75.
4 0
3 years ago
Use completing the square to solve the equation x2 - 10x = -8.
Kay [80]

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

7 0
3 years ago
Lateral area of cylinder with r=4 h=5​
yulyashka [42]

Answer:

formula: 2πrh

Step-by-step explanation:

2πrh= 2×π×4×5≈125.66371

3 0
3 years ago
What’s the answer to this important problem it is very idk
White raven [17]
1) 4/(1/5)

=4 ÷ 1/5
to divide fractions, multiply by the reciprocal/inverse of 1/5

=4 * 5/1
=20


4) (7/9)/7

=7/9 ÷ 7
to divide fractions, multiply by the reciprocal/inverse of 7

=7/9 * 1/7
multiply numerators; multiply denominators

=(7*1)/(9*7)
=7/63
simplify by 7
=1/9


7) (9/10)/6

= 9/10 ÷ 6
to divide fractions, multiply by the reciprocal/inverse of 6

= 9/10 * 1/6
multiply numerators; multiply denominators

= (9*1)/(10*6)
= 9/60
simplify by 3
= 3/20


ANSWER: 1) 20; 4) 1/9; 7) 3/20

Hope this helps! :)
3 0
3 years ago
If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
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