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2 years ago

Solve the inequality 10 + c > 11

Mathematics

1 answer:

Rufina [12.5K]2 years ago

6 0

Answer: c > 1

Writing more here cause my answer is "too short"

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PLZ HELP WILL NAME BRIANLIEST

Kamila [148]

Answer:

SORRY IF IM WRONG BUT I THINK ITS C

Step-by-step explanation:

PLEASE MARK BRAINLIEST REMOVE MY ANSWER IF WRONG!!!!!!!!

3 0

3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago

If xt = 3y -1 and us = 28, find the value of y

olga55 [171]

3y - 1 = 28
+ 1 + 1
----------------
3y = 29
---- ----
3 3
y= 9.66

8 0

2 years ago

The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?

qwelly [4]

The value of the probability P(3≤x<7) is 1

<h3>How to evaluate the probability expression?</h3>

The expression is given as: P(3≤x<7)

This is calculated using:

P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)

Using the figure of the probability density function (see attachment), we have:

P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20

Evaluate

P(3 ≤ x < 7) = 1

Hence, the value of the expression is 1

Read more about probability density function at:

brainly.com/question/15318348

#SPJ1

4 0

1 year ago

Nan and Santo are designing a coffee table using 4 inch tiles. Nan uses 30 tiles and Sato uses half as many how many . how many

KiRa [710]

First, you have to find half of 30. To find "half" means that you have to divide by 2. 30 divided by 2 is 15, because 15 + 15 = 30.
30 + 15 = 45
Salo and Nan used 45 total tiles.
Finally, to find out if they have enough tiles you have to divide 36 and 24 by 4. This is because that will tell you how many 4 inch tiles need to be used. So, 36/4 is 9, and 24/4 is 6.
9 tiles + 6 tiles = 15 tiles
Yes, they will have enough tiles to cover the table.

4 0

3 years ago

Solve the inequality 10 + c > 11​

Solve the inequality 10 + c > 11