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statuscvo [17]
3 years ago
8

If 36^12-m=6^2m, what is the value of m? 4,6,8,9

Mathematics
2 answers:
Viefleur [7K]3 years ago
4 0
The Answer is B.) 6
I Just took the test as well.

stealth61 [152]3 years ago
3 0
36^{12-m}=6^{2m}\\\\(6^2)^{12-m}=6^{2m}\\\\6^{2(12-m)}=6^{2m}\\\\6^{24-2m}=6^{2m}\iff24-2m=2m\ \ \ |add\ 2m\ to\ both\ sides\\\\4m=24\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{m=6}
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"eight times the difference of a number and three is sixty-four"?
morpeh [17]

Answer:

the number would be 11

Step-by-step explanation:

8    ·    x - 3       =      64

________                 _          (divide both sides by 8)

8                                 8

x - 3  =   8

+ 3         + 3

x  = 11

(check:

11 - 3 = 8

8 x 8 = 64 )

5 0
2 years ago
Read 2 more answers
Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
3 years ago
Y = -3x + 5? *<br> What’s the slope of the equation y =-3x+5
Crazy boy [7]

Answer:

The slope is -3

Step-by-step explanation:

The formula is y= mx + b

m = slope

b=  y intercept

Therefore, the slope is -3

4 0
3 years ago
I need help drawing the graph of -2x+2y=-4
True [87]
Arrange in slope intercept form.....
2y = 2x -4
y = x - 2

So, the line would go up......crossing the y axis at -2.........hope this helps

4 0
3 years ago
Read 2 more answers
Kevin uses 36 ounces of dried apples and 18 ounces of
aliina [53]

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

                     = 36 + 18

                     = 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

                                 = 54 ÷ 8

                                 = 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

                          = 54 - (6 × 8)

                          = 54 - 48

                          = 6 ounces

8 0
2 years ago
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