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Rus_ich [418]
3 years ago
12

Find the next two terms of the following sequence: 14, 38, 74, 122, 182, 254...

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
Let's find the difference between each number.
38-14=24
74-38=36
122-74=48
182-122=60
254-182=72
As you can tell, you're adding 12 to each difference before. The next difference would be 72+12=84. Let's add.
254+84=338
Now the next difference would be 84+12=96.
338+96=434
So, the next two terms are 338 and 434.
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The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the
tresset_1 [31]

Answer:

The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.

The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.

2 lengths + 2 Widths = 54. Now, it's just a plug and chug.

2(3 + 3W) + 2W = 54.

6 + 6W + 2W = 54

8W = 48

W=6

L = 3 + 3(6) = 21

To double check: 2(21) + 2(6) = 42 + 12 = 54

The Width is 6 meters, and the Length is 21 meters.

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2 years ago
How do you type the infinity sign on a graphing calculator ?
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3 years ago
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0.3% of a country has a certain disease. The test for the disease has a sensitivity of 92% (i.e., of those we know have the dise
butalik [34]

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

                = 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

                = 0.00276 + 0.95712

                = 0.95988

6 0
3 years ago
Calculate the pay for the following day of a
USPshnik [31]

Answer:  $122.50

<u>Step-by-step explanation:</u>

In          Out

8:00    12:00    = 4 hours

12:45    17:30   =<u> 4.75 hours   </u>

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                -<u> 12:45 </u>

                            4: 45

4 hours 45 minutes = 4\frac{3}{4} = 4.75 hours

6 0
3 years ago
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