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3 years ago

8

PLEASE HELP ME. A bacteria is tripling every 10 days. If there is 4 bacteria in a sample, how long will it take to reach 1 milli

on bacteria? What formula did you use? Approximate and exact answer please.

1 answer:

serg [7]3 years ago

4 0

Answer:

Step-by-step explanatiNlo peral son en

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Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
<u>Calculus</u>

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = 2x + 3

<em>x</em>-interval [3, 4]

<em>x</em>-axis

<em>See attachment for graph.</em>

<u>Step 2: Find Area</u>

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0

2 years ago

I am making two kinds of cookies: chocolate chip and lemon cookies Chocolate Chip Cookies It takes 0.250.25 cup of sugar to make

Zigmanuir [339]

Answer: 22 batches of chocolate chip cookies

Step-by-step explanation:

A batch of cookies can take 0.25 cups of sugar to make.

You instead have 5.50 cups of sugar.

The number of batches that can be made is:

= Total amount of sugar available / Amount of sugar required for one batch

= 5.50 / 0.25

= 22 batches of chocolate chip cookies

8 0

2 years ago

I need help really bad please

Eduardwww [97]

Answer:

6.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP PLEASE

Maru [420]

Answer:

-2 and -7

Step-by-step explanation:

This problem is about using the Factoring X.

Two numbers will multiply to the number placed at the top. These same two numbers will add to the value placed on the bottom.

Let's look at the factors of 14.

1 • 14 = 14

2 • 7 = 14

Now let's look at their sums.

1 + 14 = 15

2 + 7 = 9

We can see that 2 and 7 multiply to 14 and add to 9.

However, we need them to add to -9.

Note that two negative numbers multiplied will become positive.

-2 • - 7 = 14

Now let's look at their sum.

-2 + (-7)

Simplify the negative.

-2 - 7 = -9

We can see that -2 and -7 multiply to 14 and add to -9.

Hope this helps!

4 0

2 years ago

Walking 10 blocks can cosume 75 calories. how many calories can you consume walking 25 blocks

Dominik [7]

Walking 10 blocks consumes 75 calories so... You add another 75 wich is calories and then divide 75/2. 75+75+37.5=187.5 calories!

6 0

3 years ago

Read 2 more answers