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Soloha48 [4]
3 years ago
14

Which type of function best models the data in the table--linear quadratic, logarithmic, cubic, or exponential?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
Probably the answer is exponential
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A 12 oz bottle of shampoo last 16 weeks. How long would you expect an 18 oz bottle to last
jenyasd209 [6]
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.

Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:

12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24

It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
3 0
3 years ago
What are the measure of angles 1 and 2
riadik2000 [5.3K]

Answer:

50° and 130°

Step-by-step explanation:

∠1 is a chord- chord angles and is calculated as

∠1 = 0.5( arc RQ + arc ST) = 0.5(53 + 47)° = 50°

∠1 and ∠2 form a straight angle and are supplementary, hence

∠2 = 180° - 50° = 130°

6 0
3 years ago
Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
3 years ago
Simplify : <br><br> −5/4÷2 3/5
mamaluj [8]

Answer:

-25/52

Step-by-step explanation:

that's what I got.

4 0
2 years ago
Hi what is answer plz
34kurt
the answer is 12 lolllo
6 0
3 years ago
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