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Step2247 [10]
3 years ago
12

What’s the 84th term of the arithmetic sequence -5, 15, 35

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

<h3>            a₈₄ = 1655  </h3>

Step-by-step explanation:

15-(-5) = 20 and 35-15=20  so d=20

a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655

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75 % of the students are boys . There are 24 boys . What is the total number of Students
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32 students

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6 0
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Dylan invested $600 in a savings account at 1.6% annual interest rate. he made no deposits or withdrawals on the account for two
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4 0
3 years ago
A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Brilliant_brown [7]

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \\ (x+2)^{2}+y^{2}=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\sqrt{42}. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\sqrt{42}+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\sqrt{42}+2. now we know what X is equal to. Now we plug in x for \\ (x+2)^{2}+y^{2}=42, which gives us          (-y+\sqrt42}+2+2)^{2}+y^{2}=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\sqrt{42}+4+y=\sqrt{42}. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

6 0
3 years ago
What is 4/3 subtracted by 2/5
yKpoI14uk [10]

In order to subtract fractions, we must find a common denominator, then subtract the numerators.

The common denominator (LCM(3, 5)) is 15.

We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.

We get \frac{20}{15} - \frac{6}{15}.

All we need to do now is subtract the numerators: \frac{14}{15}.

The answer is 14/15.

7 0
3 years ago
Read 2 more answers
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