The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?
Answers
f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,
f(2) - f(1) = -0.6 - 0.7 = -1.3
so for all natural numbers n, we should have
f(n) - f(n - 1) = -1.3
Then
f(6) - f(5) = -1.3 ⇒ f(6) = -4.5 - 1.3 = -5.8
f(7) - f(6) = -1.3 ⇒ f(7) = -5.8 - 1.3 = -7.1
Related Questions
What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?
Answers
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
https://brainly.com/question/7302008
Answer:
B
Step-by-step explanation:
Edge 2022
Which of the following conditions must be met if you want to use z-
procedures to construct a confidence interval for a population proportion?
1. The sample size must be at least 30 (some texts say 50).
II. The population must be at least 10 times as large as the sample (some
texts say 20).
III. Both np and n(1-P) must be at least 10 (some texts say greater than 5).
A. I only
B. Il only
C. III only
D. II and Ill only
E. All are necessary conditions.
Answers
Answer: II and III only (2 and 3 only)
Step-by-step explanation: took test and got it right
slove for n:(3 over 5 to the power of 2 ×25=3 n
Answers
Answer:
n = 2
Step-by-step explanation:
Given equation:
[tex]\left(\dfrac35\right)^2 \times 25=3^n[/tex]
[tex]\textsf{Apply exponent rule }\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c} :[/tex]
[tex]\implies \left(\dfrac{3^2}{5^2}\right) \times 25=3^n[/tex]
[tex]\textsf{Apply}\: \left(\dfrac{a}{b}\right) \times c=\dfrac{ac}{b} :[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{5^2}=3^n[/tex]
[tex]\textsf{Apply}\:5^2=5 \times 5=25:[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{25}=3^n[/tex]
Cancel the common factor 25:
[tex]\implies 3^2=3^n[/tex]
[tex]\textsf{If}\:a^{f(x)}=a^{g(x)},\:\textsf{then}\:f(x)=g(x) :[/tex]
[tex]\implies 2=n[/tex]
Answer:
n = 2
Step-by-step explanation:
Hello!
Step 1: Expand the fractionWe can use the exponent rule to square 3/5.
([tex]\frac35[/tex])² = [tex]\frac{3^2}{5^2}[/tex][tex]\frac{9}{25}[/tex]Step 2: SimplifyNow, we can multiply
[tex]\frac{9}{25} * 25 = 3^n[/tex][tex]9 = 3^n[/tex]Now, we need to find how many times 3 is multiplied to get 9 ,and that would be 2
I need help, I'll give Brainest
Answers
Answer:
it should be cost, because when there is more quantity of something there will be less price.
Which equation accurately represents this statement? Select three options.
Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8
(4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3
Answers
Answer:
See below ~
Step-by-step explanation:
Writing the equation
Negative 3 less than 4.9 times a number, x, is the same as 12.8⇒ 4.9x - (-3) = 12.8⇒ 4.9x + 3 = 12.8Solutions
4.9x minus (negative 3) = 12.83 + 4.9 x = 12.812.8 = 4.9 x + 3The murphys’ gross annual family income is $120,500. mr. murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. what is wrong with mr. murphy’s calculation? a circle graph titled murphy's annual expenses. federal taxes, 24 percent; state/local taxes, 10 percent; housing and household, 27 percent; food, 7 percent; medical care, 5 percent; transportation, 9 percent; recreation, 4 percent; clothing, 5 percent; other, 9 percent. a. he has calculated only federal taxes. b. he has calculated only state taxes. c. he does not need to include federal taxes. d. he does not need to include state taxes.
Answers
Mr. Murphy's calculation of the taxes they are to pay this year is wrong because He has calculated only federal taxes.
What are state taxes?State income tax is a direct tax levied by a state on income earned in or from the state.
There are several taxes that an employed person must pay including:
Federal income taxesFederal social security taxesState taxesMr. Murphy only calculated the federal taxes and did not include the state ones which are usually higher than the federal tax. Once he includes the state tax, his calculation will be correct.
In conclusion, state taxes need to be paid as well.
To know more about state taxes at;
brainly.com/question/1775528.
Answer:
a. he has calculated only federal taxes
Step-by-step explanation:
Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Answers
The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
More about the Algebra link is given below.
https://brainly.com/question/953809
how do I find x? pls asap
Answers
Answer:
Step-by-step explanation:
To find the unknown angle in this geometry, you must make use of several facts.
an inscribed angle is half the measure of the arc it interceptsthe sum of arcs of a circle is 360°the measure of a central angle is the same as the measure of the arc it intercepts.__
The long arc intercepted by the inscribed 130° angle will measure 2×130° = 260°. The sum of arcs of a circle is 360°, so the short arc intercepted by the 130° angle (and by x°) is ...
x° = 360° -260° = 100°
The measure of angle x is 100°.
Please help this is my last time asking these 2 questions I need the correct answers no more fake links pls
Answers
Answer for 1st question:
The answer is A. 4/20
Step-by-step explanation:
The probability of landing on a vowel would be 2/5.
The probability of landing on an even number would be 2/4.
Now we just need to solve the probability of landing on a vowel and an even number.
2/5 x 2/4 = 4/20.
Thereore, the probability of landing on a vowel and an even number is 4/20.
Answer for 2nd question:
The answer is B. 1/20
Step-by-step explanation:
The probability of landing on a C would be 1/5.
The probability of landing on a 4 would be 1/4.
Again, we just need to solve the probability of landing on a C and a 4.
1/5 x 1/4 = 1/20.
Therefore, the probability of landing a C and a 4 is 1/20.
A squirrel burled four holes in five minutes how many holes could this world borrow in 15 minutes
Answers
Answer:
20 i'ma say 20
Step-by-step explanation:
Explanation
Please help! Will mark brainlyest.
Answers
16. You have $20 to spend. You buy socks that cost $3 per pair. a. How many pairs of socks did you buy if you have $8 left? a.
Answers
Answer:
4
Step-by-step explanation:
20-8 = 12
12/3 = 4
Lucas has an insect collection that contains only ants and beetles. On Tuesday sergio did not have much luck finding insects to add to his collection. The number of ants plus twice the number of beetles was only eight. The difference between the number of ants and beetles was -4. How many ants and beetles did he catch?
Answers
Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of ants and y represent the number of beetles. Hence:
x + 2y = 8 (1)
also:
x - y = -4 (2)
x = 0, y = 4
Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
Find out more on equation at: https://brainly.com/question/1214333
Answer:Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
Step-by-step explanation:
A 6 sided die and a coin is tossed, how many different possible outcomes are there? Need help ASAP!!
Answers
Answer:
the answer is 12
Step-by-step explanation:
you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.
Answer: coin = 26 sided die = 62 × 6 = 12
Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!
In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. these are the winning numbers. how many different selections are possible? assume that the order in which the numbers are drawn is not important. a. 1287 c. 371,293 b. 154,440 d. 120
Answers
The order in which the numbers are drawn is not important will be 1287.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
When order of selecting things does not matter, then the combination odd n things taking r at a time is given by :-
[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Given : The total numbers in lottery = 13
The total numbers to choose to win the lottery =- 5
Then the combination of 13 numbers taken 5 at a time is given by
[tex]13C_r=\dfrac{13!}{5!(13-5)!}=1287[/tex]
Hence the order in which the numbers are drawn is not important will be 1287.
To know more about Combination follow
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a. 50
b. 30
c. 80
d. 180
Answers
Answer:
50 degrees
Step-by-step explanation:
All of the angles in the picture need to add up to 180 degrees.
<TVU = 30 degrees, so the 3 remaining angles need to add up to 150 degrees.
<QVR is = to <RVS and <RVS is = to <SVT, so all 3 angles are = to each other
<QVR = <RVS = <SVT
We have 150 degrees remaining & all 3 angles have to be the same, so each angle is 50 degrees
Have a good day
Which equation demonstrates the additive identity property? (7 4 i) (7 minus 4 i) = 14 (7 4 i) 0 = 7 4 i (7 4 i) (1) = 7 4 i (7 4 i) (negative 7 minus 4 i) = 0
Answers
An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The additive identity property states that any number when added to 0, the result is the number itself. Therefore, the equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).
Learn more about Equation:
https://brainly.com/question/2263981
Answer: B on edge
Step-by-step explanation:
The point (2, 3) is on the line given by which equation below?
ОА. y= 3х
В. ya x+ 1
ос. у= -3х
O D. y = x-1
Answers
Answer:
B) y = x+1
Step-by-step explanation:
the point is (2,3), so x = 2, y = 3
A. y = 3x.
3 ≠ 3*2
B. y = x + 1.
3 = 2+1
C. y = -3x
3 ≠ -3*2
D. y = x-1
3 ≠ 2-1
Each equation represent a proportional relationship. Choose the equation for which the constant of proportionality is 4/5
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex]16x-20y=0\implies -20y=-16x\implies y=\cfrac{-16x}{-20}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ 25y=20x\implies y=\cfrac{20x}{25}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ y=0.8x\implies y=\cfrac{8}{10}x\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x[/tex]
please help me with this problem.
Answers
Answer:
X = 81
Missing angle measurement = 73 Degrees
Step-by-step explanation:
Sense the angle presented is a strait angle, meaning it has an exact mesurment of 180°
You can take the known portion of 107° and subtract that from 180°, giving you 73°
To find X you take the missing angle's value and add 8, leaving you with 81
Guys please help questions 7-8-9-10 are also on my page please!!
Answers
Step-by-step explanation:
4.since two sides are congruent and two angles are equal so they are similar and we can say:
[tex] \frac{14}{42} = \frac{7}{x} \\ x = 21[/tex]
DF is 21
5.since two sides are congruent and two angles are equal so they are similar and we can say:
[tex] \frac{6}{9} = \frac{10}{x} \\ x = 15[/tex]
EF is 15
6.
[tex]since \: \: \frac{4}{20} = \frac{6}{30} \: \: so \: we \: can \: say \: they \: are \: similar \: so \: we \: have \\ \\ \frac{4}{20} = \frac{5}{x} \\ \\ x = 25[/tex]
DF is 25
please help this was due yesterday
Answers
Answer:
2) 2^8
3)7^9
4) 1/3^6
5)x^10
6) y^8
7) x^10
Step-by-step explanation:
Unit of Length Length (meter)
Decimeter
10-1
Centimeter
10-2
Millimeter
10-3
Micrometer
10-6
Nanometer
10-9
micrometer(s)
Answers
10^4 micrometres
Step-by-step explanation:
the answer is in the image above
What is 0.12 as a percent?
0.12%
120%
1.20%
12%
Answers
Answer:
12% :)
Step-by-step explanation:
0.12 x 100 = 12%
Have an amazing day!!
Please rate and mark brainliest!!
I need help pls ..,...
Answers
Add the values together
8 + 9 + 4
21
a hummingbirds brain has the weight of approximately 2.94x10-3. a elephants brain has the weight of 1.76x10^. approximately how many times heavier is the elephants brain
60
600
6,000
60,000
Answers
Answer:
60000
Step-by-step explanation:
List three diffrent ways to write 5^11
I have already got 5x5x5x5x5x5x5x5x5x5x5
Answers
Answer:
Other than your answer...
Step-by-step explanation:
5^6 x 5^5
48,828,125
5^2 x 5^9
hope this helps :)
= 10 × (7 − 2
3
) + 40 × 10−1
Answers
Answer:
239
Step-by-step explanation:
239 because do the answers in the parenthesis first then do the rest.
Find the x-intercept of a line that has the following equation: 2y=3x−6
Answers
Answer:
2
Step-by-step explanation:
To find the x-intercept of the equation we have to substitute y = 0 in it.
=> 0 = 3x - 6
=> 3x = 6
=> x = 2
Therefore the line will meet x-axis at (2,0) which means it'll have x - intercept of 2 units.
This equation shows a way to find a fraction equivalent to 2032
2
0
3
2
.
Enter numbers below to correctly complete the equation.
Answers
Answer:
Given Below.Explanation:
[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]
Follow the sequence. and divide the multiply the following fraction.
32 ÷ ? = 8? = 4=======
20 ÷ 4 = 5Answer:
[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]
Step-by-step explanation:
When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 32, 1, 2, 4, 8, 16, 32
Therefore, the highest common factor is 4.
[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]