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Umnica [9.8K]
3 years ago
10

5

%7B%20-%202%7D%20" id="TexFormula1" title=" {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} " alt=" {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
marin [14]3 years ago
7 0
The answer to the question is 5^3
Arturiano [62]3 years ago
6 0

Because the base 5 is the same between all three terms, you can simply combine the exponents via addition or subtraction to find the simplified answer.

5^-7 * 5^12 * 5^-2 = 5^3 (This is your answer.)

Let me know if you have any other questions!


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Find the equation of the line. A line that is perpendicular to the graph of 3x +2y =6 and contains the point (6,-3)
xxMikexx [17]
Answer:

y = 2/3x

Step-by-step explanation:

3x + 2y = 6

2y = 6 - 3x

y = 3 - 3x/2 or y = - 3/2x + 3

- - - - - - - - - - - - - -
Then find the negative reciprocal of the slope of the original line.

y = 2/3x
7 0
2 years ago
The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials was $46. How many hours did the
trapecia [35]

since we know the plumber charges $32 for one hour of work, if the plumber works

1 hour, that's 32(1)

2 hours........ 32(2)

3 hours.........32(3)

4hours...........32(4)

x hours...........32(x) => 32x.


the cost of materials is $46, so your total charge for getting the lizard out of the bathtub pipe is the hours rate plus the 46 bucks, namely 32x + 46, and incidentally we know that's $134.


\bf 32x+46=134\implies 32x=88\implies x=\cfrac{88}{32}\implies x=\cfrac{11}{4} \\[2em] x=2\frac{3}{4}\impliedby \textit{2 hours and 45 minutes}

7 0
3 years ago
Item2
STatiana [176]

Answer:

Kindly check explanation

Step-by-step explanation:

Sample 1 :

Mean = (79.2 + 78.8 + 80 + 78.4 + 81) / 5 = 79.48

Range = 81 - 78.4 = 2.6

Sample 2 :

Mean = (80.5 + 78.7 + 81 + 80.4 + 80.1) / 5 = 80.14

Range = 81 - 78.7 = 2.3

Sample 3 :

Mean = (79.6 + 79.6 + 80.4 + 80.3 + 80.8) / 5 = 80.14

Range = 80.8 - 79.6 = 1.2

Sample 4 :

Mean =(78.9 + 79.4 + 79.7 + 79.4 + 80.6)/5 = 79.6

Range = 80.6 - 78.9 = 1.7

Sample 5 :

Mean = (80.5 + 79.6 + 80.4 + 80.8 + 78.8)/5 = 80.02

Range = 80.8 - 78.8 = 2

Sample 6 :

Mean =(79.7 + 80.6 + 80.5 + 80 + 81.1)/5 = 80.38

Range = 81.1 - 79.7 = 1.4

Xbar = mean of the means

Xbar = (79.48+80.14+80.14+79.6+80.02+80.38) / 6 = 79.96

Rbar = Mean of the sample ranges

Rbar = (2.6 + 2.3 + 1.2 + 1.7 + 2 + 1.4) / 6 = 1.87

n =5 ;D4 = 2.11 ; D3 = 0

From table, D4 = 2.11 ; D3 = 0

Range chart :

Upper Control limit, UCL = D4 * Rbar ; 2.11*1.87 = 3.9457 = 3.95

Lower Control limit, LCL = D3 * Rbar ; 0*1.87 = 0

Mean chart :

Xbar ± A2 * Rbar

From the table :

n = 5 ; A2 = 0.58

Lower control limit(LCL) = Xbar - A2*Rbar

LCL = 79.96 - (0.58*1.87) = 78.8754 = 78.88

Upper Control Limit (UCL) = Xbar + A2*Rbar

UCL = 79.96 + (0.58*1.87) = 81.0446 = 81.04

(78.88 ; 81.04)

The value of Each sample mean falls within the mean interval, Hence, We can conclude that process is on control.

7 0
3 years ago
Chris used 45 feet of fencing to enclose a circular garden .what is the approximate radius of the garden ? use 3.14 for n
luda_lava [24]
Circumference = πD
45 = 3.14D
D = 14.33

Radius = Diameter ÷ 2
Radius = 14.33 ÷ 2 
Radius = 7.17 ft (nearest hundredth)

-------------------------------------------- 
Answer: The radius is 7.17 ft.
-------------------------------------------- 
6 0
3 years ago
What is 73 3800 + 50 subtracted by 23559
aleksklad [387]

Answer:710,219

Step-by-step explanation: 733,800

                                          +.           50

                                               733,850

                                           -   23,559

                                                 710,219

4 0
3 years ago
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