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Hitman42 [59]
3 years ago
6

What is the first step when evaluating the expression (4 + 8 ÷ 2) x 5 – 1

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Follow the order of PEMDAS. So you gotta solve inside the prenthesis first following the order of pemdas and division comes first.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

Yakvenalex [24]3 years ago
3 0

Answer:

B 8÷2

Step-by-step explanation:

because of pemdas.

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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
4 years ago
On a certain route, an airline carries 5000 passengers per month, each paying $70. A market survey indicates that for each $1 in
Mkey [24]

Answer:

$85

Step-by-step explanation:

5000 x $70 = $350,000

4950 x $71 = $351,450

4900 x $72 = $352,800

etc.

Create an equation for the monthly revenue:

f(n) = (5000 - 50n) x (70 + n)

     = 350000 + 5000n - 3500n - 50n²

     = 350000 + 1500n - 50n²

where n is the amount the ticket price is increased from $70.

Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:

f'(n) = 1500 - 100n

1500 - 100n = 0

1500 = 100n

15 = n

Therefore, the maximum monthly revenue is when n = 15.

So the cost of the ticket will be 70 + n = 70 + 15 = 85

3 0
2 years ago
find the area of a parrellelogram whose base is of length 25 cm and the corresponding altitude is of length 8.4 cm​
Free_Kalibri [48]

Answer:

Check the above photo and do the sum

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2 years ago
Simplify 3(x-4)-(-4)+2(3y+x) help meh jwj
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Simplify the expression.
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4 years ago
Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann received $120. What is Betty's share?
rodikova [14]
Betty's share is 120 divided equally.
6 0
3 years ago
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