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wariber [46]
3 years ago
10

(За + 2b – 7) - (4) — 10)

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:=3a+2b−21

Step-by-step explanation:

Let's simplify step-by-step.

3a+2b−7−4−10

=3a+2b+−7+−4+−10

Combine Like Terms:

=3a+2b+−7+−4+−10

=(3a)+(2b)+(−7+−4+−10)

=3a+2b+−21

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
3 years ago
A Stegosaurus eats six and two fifths big leaves for breakfast and three and one fifth big leaves for lunch. How many leaves did
Mkey [24]

Answer:

9 and 3/5

Step-by-step explanation:

Nine and Three Fifths

7 0
3 years ago
Read 2 more answers
I NEED HELP WITH THIS ASAP! ITS DUE IN 20 MINS
amm1812

Answer:

b

Step-by-step explanation:

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3 0
3 years ago
A university hired you as a lab assistant after you graduated. Your starting salary is $41,500 and your salary will increase by
VladimirAG [237]

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$67,000

Step-by-step explanation:

41,000*(1,700*15)=67,000

5 0
3 years ago
The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
Ghella [55]

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

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Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

3 0
3 years ago
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