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Nitella [24]
3 years ago
14

An ant travels at a constant rate of 30 cm every 2 minutes. At what speed does the ant travel per minute?

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

15 cm in one minute.

Step-by-step explanation:

If the ant travels at 30 cm every two minutes, then divide both numbers by two to get the unit rate, which is 15 I'm per minute.

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Can y’all help me on question 19
Zolol [24]
C is your answer. Because 8 times 1.75$ = $14.00 and 5 times 1.25= $6.25. So $14.00+ $6.25 = $20.25
6 0
3 years ago
Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

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1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

__

2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

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5 0
3 years ago
Read 2 more answers
Form the quadratic equation whose one root is 2 + 2^(1/2)​
Oksanka [162]

9514 1404 393

Answer:

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Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

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3 years ago
Mike is a car salesman. He earns $200 for every car he sells plus a 3% commission. If Mike sells 3 cars in one week for a total
Serhud [2]

<span>For every car Mike earns------------------ >$200 plus 3% commission</span>

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