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Elis [28]
2 years ago
14

For the x-values 1, 2, 3, and so on, the y-values of a function form a geometric sequence that decreases in value. What type of

function is it? A. Exponential growth B. Decreasing linear C. Increasing linear D. Exponential decay
Mathematics
1 answer:
guajiro [1.7K]2 years ago
3 0
D. Exponential decay
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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
nasty-shy [4]
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
6 0
3 years ago
What is the midpoint of (1,-1) and (4,-6)
Andreas93 [3]

Answer:

(5/2, -7/2)

Step-by-step explanation:

The midpoint is the average value of each coordinate

(1+4)/2 , (-1-6)/2

3 0
2 years ago
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
stealth61 [152]

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

7 0
2 years ago
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​
s2008m [1.1K]

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

5 0
2 years ago
There are 176 freshmen and 18 adults, going on a trip to Great Adventure. The tickets are $60.00 for an individual or $300.00 fo
Iteru [2.4K]

Answer:

$5940

Step-by-step explanation:

19 groups = 19 x 300 = $5700

4 extra tickets = 4 x 60 = $240

$5700 + $240 = $5940

Total people going = 194

7 0
3 years ago
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