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Vesna [10]
3 years ago
6

Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
Weird that the only choices are given as integrals with respect to x. (Integration along the y axis would be way easier, but whatever)

The fourth option should do it.
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To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
2 years ago
Pls help with Trigonometric
Sav [38]

The value of the given trigonometry function is 2√15/15

<h3>Half angles</h3>

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

Learn more on trigonometry function here: brainly.com/question/2254074

#SPJ1

8 0
1 year ago
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
vlada-n [284]

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Using the formula :

S = 20,000 (1 + 0.08)^y to estimate ;

S = number of subscribers ; y = years

The expression : (1 + 0.08)^y

0.08 = 0.08 * 100% = 8%

(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year

4 0
3 years ago
Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)
boyakko [2]

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

8 0
2 years ago
Please choose the answer that describes the scientific notation for 3,134,000,000
topjm [15]

Answer:

= 3.134 × 10^9

(scientific notation)

= 3.134e9

(scientific e notation)

= 3.134 × 10^9

(engineering notation)

(billion; prefix giga- (G))

= 3134000000

(real number)

Step-by-step explanation:


6 0
3 years ago
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