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Vlada [557]
3 years ago
11

Is the sequence Arithmetic: 37, 31, 25, 19

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

Answer:

Yes, it is an Arithmetic Sequence

Step-by-step explanation:

31 - 37 =  - 6 \\  \\ 25 - 31 =  - 6 \\  \\ 19 - 25 =  - 6 \\

Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.

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The air pressure inside Jason's bike tires decreases by about 6% each week. The original pressure was 45 pounds per square inch
Fudgin [204]
Lets do this week by week 
beginning pressure 45 pounds 
end of week 1 
45 *.06 = 2.7
45 - 2.7 = 42.3
end of week 2 
42.3 * .06 = 2.538
42.3 - 2.538 = 39.762
end of week 3 
39.762 *.06 = 2.38
39.762 -  2.38 = 37.37
end of week 4
37.37* .06 = 2.2425
37.37628 - 2.2425= 35.12
end of week 5
35.12 * .06 = 2.107
35.12 - 2.107 = 33.012
end of week 6 
33.012* .06 = 1.98
33.012 - 1.98 =31.03

Here is the fast way to get to this answer. 
do 1-.06 = .94

then do 
45(.94)(.94)(.94)(.94)(.94)(.94)  = 31.04 


8 0
4 years ago
Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)
Lesechka [4]

Answer:

Number = 2.71 *  10^{-7}

Step-by-step explanation:

Given

Number = 0.0000002711

Required

Write, using scientific notation

The scientific notation is written in the form:

Form = a * 10^n  <em>Where n is an integer and </em>1 \leq a \leq 10<em />

To start with; <em>Represent the given number as fraction</em>

Number = \frac{2711}{10000000000}

Represent the denominator as an exponent

Number = \frac{2711}{10^{10}}

This can be rewritten in form of:

Number = 2711 * 10^{-10}

Remember that: Form = a * 10^n  <em>Where n is an integer and </em>1 \leq a \leq 10<em />

<em>This implies that; we need to adjust 2711 to a number between 1 and 10;</em>

This gives:

Number = 2.711 * 1000 * 10^{-10}

Write 1000 as an exponent

Number = 2.711 * 10^3 * 10^{-10}

Apply law of indices

Number = 2.711 *  10^{3-10}

Number = 2.711 *  10^{-7}

The question requires 2 numbers after the decimal point;

So, 2.711 will be approximated to 2.71

Number = 2.71 *  10^{-7}

Hence;

<em></em>0.0000002711<em>  </em><em>is equivalent to </em>2.71 * 10^{-7}<em></em>

3 0
3 years ago
Hailey went to Farmer's Market and bought 134 pounds of coffee at $13.00 per pound and 812 pounds of rice at $0.45 per pound. If
dexar [7]

Answer: B

. $23.42 is your answer

Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a  $50 bill, how much change did she receive?

Answer:

$23.43

Step-by-step explanation:

First, you need to find the total amount she needs to pay for the items she purchased:

1 3/4=1.75

8 1/2=8.5

Total purchase=(1.75*$13)+(8.5*$0.45)

Total purchase=22.75+3.82

Total purchase=26.57

No, you need to subtract the total amount you have to pay for your purchase from $50:

$50-$26.57=$23.43

According to this, the answer is that she received $23.43 as change.

6 0
3 years ago
Read 2 more answers
Item 5 What is −3 2/3⋅(−2 1/4) ? −8 1/4 −6 1/6 6 1/6 8 1/4
zzz [600]

Answer:

The answer is 8 1/4

Step-by-step explanation:

8 0
3 years ago
An anthropology graduate student measures the floor of a round hut and calculates that it has a circumference of 18.84 yards. Wh
Art [367]

Answer:

The fllor's radius is 3 yd

Step-by-step explanation:

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference  = 18.84yd

r = radius

π = 3.14

c = 2π * r

we replace with the known values

18.84yd = 2 * 3.14 * r

18.84yd = 6.28 * r

18.84yd / 6.28 = r

3yd = r

The fllor's radius is 3 yd

5 0
3 years ago
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