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kumpel [21]
2 years ago
15

I don’t know if I’m right

Mathematics
1 answer:
fgiga [73]2 years ago
8 0

Answer:

  A: geometric; 4 times

  B: arithmetic: 4 more

Step-by-step explanation:

An arithmetic model is a linear model, where the rate of change is constant.  Growth or decay is by a constant amount from one interval to the next.

A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.

__

<h3>A)</h3>

The equation for the sequence is given in "explicit" form:

  A_n=2^{2n}

The exponent can be split so this can be rewritten as ...

  A_n=(2^2)^n=4^n

If this were written in recursive form, it would look like ...

  A_0=1,\ A_n=4\times A_{n-1}

The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.

__

<h3>B)</h3>

The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.

_____

<em>Additional comment</em>

In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.

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A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.
Lyrx [107]
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
\frac{18}{8} - \frac{13}{8} = n
\frac{5}{8} = n

So Angie need \frac{5}{8} cups more of butter for the recipe.

7 0
3 years ago
A scuba diver was swimming at a depth of 8 meters below the surface of the water. He saw an eel swimming 3 meters above him and
Trava [24]
You have to do 8-3 
and 8-3=5
so the answer is 8-3=5
6 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP<br><br><br>and please explain it so I won't get confused further on ​
Pavlova-9 [17]
Number 5 is 110 degrees because it is the same angle as m<2.

Now, to find m<7
A straight line is 180 degrees. One side is already given. m<8+m<7 = 180 degrees. So 180-110=70.

Answers:
4. m<7= 70 degrees

5. m<8= 110 degrees

3 0
2 years ago
A fishbowl has a capacity of 192 fluid ounces. How many quarts is that?
DENIUS [597]

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

7 0
2 years ago
7x + 2y=24<br> 8x + 2y=30
Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

  • Layer the equations on each other as you would in a subtraction problem:

               8x + 2y=30

               7x + 2y=24  

  • Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
  • Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

               42+2y=24 then

               2y=-18 then

               y=-9

  • Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

3 0
3 years ago
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