What is the area pleas

Mathematics

2 answers:

kiruha [24]2 years ago

6 0

Answer:

9 ft

Step-by-step explanation:

Fittoniya [83]2 years ago

3 0

The answer is 146 square feet. Hope this helps! :-)

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What is the value of cos a?

VARVARA [1.3K]

Answer:

$\frac{7}{25}$

Step-by-step explanation:

Using SOHCAHTOA, you know that Cosine is represented with the side adjacent to the angle (7) on top of the fraction and the hypotenuse (25) on the bottom.

4 0

2 years ago

Exponential Function:

antoniya [11.8K]

Answer:

See below

Step-by-step explanation:

<h3>Given</h3>

Initial population at 8:00 AM
3000000
Growth rate = 10% = 1.1 times per 20 min

<h3>Solution</h3>

1. Table

Note. I am not sure what are the last 3 rows. Just added next 3 terms.

8:00 ≡ G(0) ≡ 3000000 ≡ 3000000
8:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 3300000
8:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 3630000
9:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 3993000
9:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 4392300

2. Population at 10:00

Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 min
Population = 3000000*1.1^6 = 5314683

3. Function to reflect the population growth

G(x) = 3000000*1.1^x
G(x) - is dependent variable, population of bacteria
x - is independent variable, time increment of 20 min

4. Population after 5 hours

5 hours = 5*3*20 min = 15*20 min
G(15) = 3000000*1.1^15 ≈ 12531745

3 0

3 years ago

Read 2 more answers

Find the derivative

zalisa [80]

First use the chain rule; take $y=\dfrac{x+5}{x^2+3}$ . Then

$\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm dy}\cdot\dfrac{\mathrm dy}{\mathrm dx}$

By the power rule,

$f(x)=y^2\implies\dfrac{\mathrm df}{\mathrm dy}=2y=\dfrac{2(x+5)}{x^2+3}$

By the quotient rule,

$y=\dfrac{x+5}{x^2+3}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)\frac{\mathrm d(x+5)}{\mathrm dx}-(x+5)\frac{\mathrm d(x^2+3)}{\mathrm dx}}{(x^2+3)^2}$