On a piece of paper, graph y = 2x - 3. Then determine which answer matches
the graph you drew.
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Si a un numero le sumas su anterior, obtienes 37. ¿ de que numero hablamos?
Divide the following polynomial.(x^2 - 4) (x - 1)
The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *
Evaluate. Write your answer as a fraction or whole number.1/3(1)=
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The fixed points in the function f(x) = x^4 are:
x = 0, x = 1, x = -0.5 - 0.866i, and x = -0.5 +0.866i
The given function is:
The fixed points of a function f(x) is determined by solving f(x) - x = 0
Equate each of the terms to zero:
x = 0
x - 1 = 0
x = 1
Therefore, the fixed points in the function f(x) = x^4 are:
x = 0, x = 1, x = -0.5 - 0.866i, and x = -0.5 +0.8661
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Answer:
What is this?
Step-by-step explanation:
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Denote the sum by S. So
S = 5 + 11 + 17 + 23 + ... + 83
There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So
S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83
Gauss's approach involves inverting the sum:
S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5
If we add terms in the same position in the sums, we get
2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)
and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means
2S = 88n
and dividing both sides by 2 gives
S = 44n
Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern
11 = 5 + 6
17 = 5 + 2*6
23 = 5 + 3*6
and so on, up to
83 = 5 + 13*6
so n = 13, which means the sum is S = 44*13 = 572.
Final answer:
To find the sum of the given arithmetic series, we can use Gauss's approach by finding the number of terms and then calculating the sum using the formula for the sum of an arithmetic series.
Explanation:
To find the sum of the given series, we can use Gauss's approach. The series is an arithmetic progression with a common difference of 6. We can find the number of terms in the series using the formula for the nth term of an arithmetic sequence and then use the formula for the sum of an arithmetic series to find the sum.
- Find the number of terms (n):
- The first term (a) is 5, and the common difference (d) is 6.
- Find the last term (l) using the formula: l = a + (n - 1)d
- Substitute the values and solve for n: 83 = 5 + (n - 1)6
- Simplify and solve for n: n = 15
- Find the sum (S):
- The formula for the sum of an arithmetic series is: S = (n/2)(a + l)
- Substitute the values and solve for S: S = (15/2)(5 + 83)
- Calculate the sum: S = 15(44)
- Simplify the sum: S = 660
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After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1982, the hay in that country was contaminated by a radioactive
isotope (half-life 5 days). If it is safe to feed the hay to cows when 9% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately
(Round to one decimal place as needed.)
days for it to be safe to feed the hay to the cows.
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Answer:
17.5 days
Step-by-step explanation:
The half life of this element is five days.
For the first five days it will decrease to 100*0.5=50%.
For the second five days it will decrease to 50*0.5= 25%
For the third five days it will decrease to 25*0.5 = 12.25%
It means in each day in the five days it reduce 0.1 of the it's remaining amount.
12.5 - 9 = 3.5 %
0.5 of 12.5 = 6.25%
It's going to be 15 days + 2.5 days= 17.5 days
Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your final answers to the nearest whole dollar.)
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The appropriate journal entries to record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021 are:
White Water journal entries
1-Jan-21
Debit Cash $382,141
Credit Discount on Bonds Payable $27,859
($410,000-$382,141)
Credit Bonds payable $ 410,000
30-Jun
Debit Interest Expenses $ 15,286
($382,141 x 8%/2)
Debit Discount on Bonds Payable $736
Credit Cash $14,350
($410,000 x 7%/2)
31-Dec
Debit Interest Expenses $15,315.08
[($382,141 + 736) x 8%/2]
Credit Discount on Bonds Payable $965.08
($15,315.08-$14,350)
Credit Cash $14,350
($410,000 x 7%/2)
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Answer:
Step-by-step explanation:
b. The 76% who stated that thc enforcement of salty mcasures needs to be completh overhauled.
c. The 952 prolessional athkics whosc names were oblainoed,
d. All professional athlctes.
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Answer:
Step-by-step explanation:
For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .
In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .
p=0.76
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Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.