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Vedmedyk [2.9K]
3 years ago
15

Help solve lowest term of 836/54 please

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0
The lowest term of 836/54 is 418/27!
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Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
HELP ASAP!!!! <br><br> What is the surface area of the rectangular prism??
il63 [147K]
The surface area of a rectangular prism is measured by multiplying length, width, and height:

a = l•w•h

4 • 5 • 15

20 • 15 = 300

So the area of this rectangular prism is 300<span>in².</span>
7 0
4 years ago
What Is The Answer? I also don't Understand this
Elodia [21]
We need to simplify this number.  We begin by evaluating the numbers inside the equation.  We can simplify this to:

(2 \sqrt{k})^{-2}

Now, we evaluate this one step further.  Because a negative exponent makes the number 1 over what it was, we can make this problem:

\frac{1}{(2 \sqrt{k})^{2}  }

This becomes:

\frac{1}{(2 \sqrt{k})(2 \sqrt{k} ) } --\ \textgreater \  \frac{1}{4k}

So, 1/4k is the answer.  This is the same as C, so C is the right answer.
4 0
3 years ago
Which fraction is equivalent to -3/2?<br><br>3/-2<br>-(3/-2)<br>-3/-2<br>-(-3/2)​
Irina18 [472]
The answer is 3/-2 hope that helps!
8 0
3 years ago
Mr. Gengel wants to make a TV stand with boards that are
Amanda [17]

Answer:

Step-by-step explanation:

2 2/3 = 8/3

24 ÷ 8/3

= 9

7 0
3 years ago
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