5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.

14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by $2^{24/3}$ , or $2^8$ . 3 million times $2^8$ is 3 * 256 million, or 768 million.

15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?

100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.

8 0

3 years ago

Read 2 more answers

The sum of two numbers is 8and the sum of their squares is 34. What is the smaller number?

gladu [14]

Answer:

Step-by-step explanation:

3 squared is 9. 5 squared is 25. 25 + 9 = 34. 5 + 3 = 8. So the smaller number is 3.

4 0

3 years ago

Read 2 more answers

Please help <br> Person with the right answer I will mark Brainlyist

e-lub [12.9K]

Answer:

The equation in the standard form is

$y+2x=5$

Step-by-step explanation:

Given the points

(6, -7)

(4, -3)

Finding the slope between (6, -7) and (4, -3)

$\left(x_1,\:y_1\right)=\left(6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-3-\left(-7\right)}{4-6}$

$m=-2$

As the point-slope form is defined as

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -2 and the point (6, -7)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-7\right)=-2\left(x-6\right)$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

converting the equation in standard form

$y-\left(-7\right)=-2\left(x-6\right)$

$y+7=-2\left(x-6\right)$

subtract 7 from both sides

$y+7-7=-2\left(x-6\right)-7$

$y=-2x+5$

$y+2x=5$

Therefore, the equation in the standard form is

$y+2x=5$

7 0

3 years ago

Find the solution to the following: *

Trava [24]

Answer:

First one: x = all real numbers

Second one: x = 0

Step-by-step explanation:

for the first one

given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations

step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )

2 * 4x = 8x

5 * 2 = 10

now we have 8x + 10 = 8x + 10

step 2 subtract 8x from each side

8x - 8x = 0

now we have 10 = 10

subtract 10 from each side

10 - 10 = 0

we're left with 0 = 0 meaning that all real numbers are solutions

For the second one

given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations

step 1 distribute the 2 to what is in the parenthesis (x - 4)

2 *x = 2x

2 * -4 = -8

now we have 3x - 8 = 2x - 8

step 2 add 8 to each side

-8 + 8 = 0

now we have 2x = 3x

step 3 subtract 2x from each side

3x - 2x = x

2x - 2x = 0

we're left with x = 0

5 0

3 years ago