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Dominik [7]
3 years ago
6

What are the next three terms in the sequence 1, 7, 13, 19, ... ?

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

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lapo4ka [179]
Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.

For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.

14*4.5=63

ANSWER: B. 63 square meters.
6 0
3 years ago
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Irina-Kira [14]

Answer:

Joseph is correct

Step-by-step explanation:

I cannot see the options in the drop-down menus. Even though, Joseph is correct because the difference between the longest length (which is 12 ft) and shortest length (which is 9 1/2 ft) is 12 - 9 1/2 = 2 1/2 ft. It doesn't matter how many ropes measure those lengths.

8 0
3 years ago
Vertical stretch by a factor of 3 and a reflection
atroni [7]
Vertical stretch by a factor of 3 and a reflection over x-axis is g(x)= -3|x|
7 0
2 years ago
A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from t
natka813 [3]

Answer:

the standard error of the proportion is 0.0272

Step-by-step explanation:

We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :

fpc = \sqrt{\frac{N -n}{N -1} }

We know that N = 250 n = 91, replacing:

fpc = \sqrt{\frac{250 - 91}{250 -1} }

fpc = 0.799

Now, the formula would then be:

SE  = \sqrt{\frac{p * (1 -p)}{n} }*fpc

Now replacing, knowing that p = 0.12

SE= \sqrt{\frac{0.12 * (1 - 0.12)}{91} }*0.799

SE = 0.0272

So the standard error of the proportion is 0.0272

6 0
2 years ago
A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

N_{t} = N_{0}e^{-\lambda t}

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g

     

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

5 0
3 years ago
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