The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?

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.

Answer:

2) 2^8

3)7^9

4)  1/3^6

5)x^10

6) y^8

7) x^10

Step-by-step explanation:

The order in which the numbers are drawn is not important will be 1287.

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.

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Answer:

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.

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Answer:

[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]

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

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.

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Answer:

B

Step-by-step explanation:

Edge 2022

Answer:

it should be cost, because when there is more quantity of something there will be less price.

Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

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.

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Answer:Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

Step-by-step explanation:

Answer: II and III only (2 and 3 only)

Step-by-step explanation: took test and got it right

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

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

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]

An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

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).

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Answer: B on edge

Step-by-step explanation:

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

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]

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                                        Add the values together

                                                     8 + 9 + 4

                                                          21

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

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.

10^4 micrometres

Step-by-step explanation:

the answer is in the image above

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 :)

Answer:

12% :)

Step-by-step explanation:

0.12 x 100 = 12%

Have an amazing day!!

Please rate and mark brainliest!!

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!!

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

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.

Answer:

See below ~

Step-by-step explanation:

Writing the equation

Solutions

Answer:

20 i'ma say 20

Step-by-step explanation:

Explanation

Answer:

60000

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the unknown angle in this geometry, you must make use of several facts.

__

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°.

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!

We can use the exponent rule to square 3/5.

Now, we can multiply

Now, we need to find how many times 3 is multiplied to get 9 ,and that would be 2

Mr. Murphy's calculation of the taxes they are to pay this year is wrong because He has calculated only federal 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:

Mr. 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;

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Answer:

a. he has calculated only federal taxes

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

20-8 = 12

12/3 = 4