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Llana [10]
4 years ago
12

Find the 10th term in the following arithmetic sequence if the constant being added is

Mathematics
2 answers:
Nookie1986 [14]4 years ago
5 0

Answer:

10th term = -88.

Step-by-step explanation:

This is an arithmetic sequence with first term = 20 and common difference -12.

nth term = a1 + (n - 1)d

10th term  = 20 + (10-1)*-12

= 20 - 108

= -88.


Murljashka [212]4 years ago
3 0

Find the 10th term in the following arithmetic sequence if the constant being added is  -12

Step-by-step explanation:

20 - 12 = 8

8 - 12 = -4

-4 - 12 = -16

So the sequence will be

20; 8; -4; -16

an = 20 - 12(n - 1)

a10 = 20 - 12(10 - 1) = -88

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Which expression is equivalent to ​
True [87]

Answer:

2^{\frac{5}{12}}

Step-by-step explanation:

  • The original expression \sqrt{2^5} ^{\frac{1}{4}} can be transformed into (2^{\frac{5}{3}})^{\frac{1}{4}} : both expressions are equivalent, the root of certain number is equivalent to that number power at a fraction whose denominator is the index of the root. The simpliest example for this statement is \sqrt{x} =x^{\frac{1}{2}} (the squared root of x equals x raised at 1/2).
  • Now, the expression(2^{\frac{5}{3}})^{\frac{1}{4}} can be simplified by using the power of a power property, which simply states that if b\neq 0 and ((b)^n)^m=b^{n\times{m}}. In this case, then  (2^{\frac{5}{3}})^{\frac{1}{4}}=2^{\frac{5}{3}\times{\frac{1}{4}}}=2^{\frac{5}{12}}, which is the final expression.
5 0
4 years ago
To complete
natulia [17]

To figure this question out, we first need to figure out how much one pound of potatoes costs. To do this, we need to divide 18 by 8, and in this, we get $2.25. Then, we have to multiply this by 15 to find out how much 15 pounds of potatoes costs. This gives us $33.75, which is our answer to this question.

3 0
4 years ago
List all factors of the number 52. SHOW ALL WORK!!!
Nutka1998 [239]

Answer:

Factors of number 52

Factors of 52: 1, 2, 4, 13, 26 and 52.

Negative Factors of 52: -1, -2, -4, -13, -26 and -52.

Prime Factors of 52: 2, 13.

Prime Factorization of 52: 2 × 2 × 13 = 22 × 13.

Sum of Factors of 52: 98.

7 0
4 years ago
Adjacent angles have a common vertex and a common side.<br><br> True or false
Yakvenalex [24]
This is true. <em /><em>Adjacent angles have a common vertex and a common side. </em>

Adjacent angles are supplementary and are on the same line.

I hope this helps!
~kaikers
7 0
3 years ago
Which shows the following expression after the negative exponents have been eliminated?
gregori [183]

<u>Answer:</u>

The correct answer option is \frac {a ^ 3 b^4 } {a b^2}.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to figure out which of the given answer options show the expression after the negative exponents have been eliminated:

\frac {a^3 b^{-2}} {a b^{-4}}

When negative exponent changes sign, then it moves from numerator to denominator or from denominator to numerator.

\frac {a^3 b^4} {ab^2}

7 0
3 years ago
Read 2 more answers
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