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3 years ago

TIME LIMITED

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

8 0

Answer:

Step-by-step explanation:

|<-------------- 27 ------------>|

L--------------M----------------N

18 MN

LN = LM + MN

27 = 18 + MN

MN = 27 - 18

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. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?

evablogger [386]

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

6 0

3 years ago

Read 2 more answers

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

vodomira [7]

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 $e^{-0.173h}$

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10 $e^{-0.173*1}$

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 $e^{-0.173*4}$

M(4)=10(0.50057)

M(4) =5.0057 milligrams

3 0

3 years ago

You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0

3 years ago

The table and the graph show information about students enrolled in spanish and french classes at a high school. use the graph t

Archy [21]

Answer:

after 6 years

Step-by-step explanation:

thats when the lines intersect, (6,300)

5 0

2 years ago

What is 100 divided by 80

Molodets [167]

10/8 or 5/4 or 1 1/4 or 1.25 or 125 percent.

3 0

3 years ago

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