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bazaltina [42]
2 years ago
9

In 1998, a bottle

Mathematics
1 answer:
pantera1 [17]2 years ago
3 0

Answer:

25% increase

Step-by-step explanation:

You multiply the original number (0.25) by 100.

0.25(100)= 25

% increase = Increase ÷ Original Number × 100. If the answer is a negative number, that means the percentage change is a decrease.

You might be interested in
Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)
viktelen [127]
\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}

The first line segment can be parameterized by \mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle with 0\le t\le1. Denote this first segment by C_1. Then

\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt
=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt
=108

The second line segment (C_2) can be described by \mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle, again with 0\le t\le1. Then

\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt
=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt
=-\dfrac{229}3

Finally,

\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3
5 0
3 years ago
Just need help with #2 <br> Please help!<br> Thank you <br> (15 points)
IrinaK [193]
So you write into the table that x = 1 then y will equal 1*1.5 which equal to 1.5. So under x = 1 in y table you write y = 1.5, and so on

6 0
2 years ago
Read 2 more answers
HELP PLSS WILL GIVE BRAINLIEST!​
nydimaria [60]
15 i am pretty sure i’m probably gonna be wrong
3 0
3 years ago
Read 2 more answers
Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal pla
Juliette [100K]

Answer: The next three terms =2.56, - 1.024 and 0.4096

Step-by-step explanation:

Common Ratio of a Geometric sequence, R is calculated as

=a2/a1 = -40/100=-0.4

or a3/a2=16/ -40 = -0.4

such that the next three terms are

5th term =  -6.4 x -0.4=2.56

6th term= 2.56 x -0.4 =-1.024

7TH term= -1.024 x -0.4=0.4096

8 0
3 years ago
HELP please I’ll post a picture to make it easier to look at <br> (I made it to get 20 points)!!!
Trava [24]

Answer:

Both expressions are = to 11 when x is 2.

Therefore, the expressions are equivalent.

6 0
2 years ago
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