Answer pls I need help . I’ll make you brainliest and plus 10 points

15 different tasks are assigned to 8 different people. There are no restrictions on the number of tasks that can be given to any

Lunna [17]

Answer:

$3.52 * 10^{13}$ ways

Step-by-step explanation:

Since 1 task can be assigned to 1 person, we can start by assigning people to the task. There are 15 different task, so at the first task there are 8 choices, at the 2nd task there are also 8 choices, and so on. There's also the fact that these tasks are all different.

Therefore the total number of way to assign 8 people to 15 tasks is

$8^15 = 3.52 * 10^{13}$ ways

8 0

3 years ago

Which one (it’s a test a and it’s due tonight I need help)

just olya [345]

Answer:

12+8r

Step-by-step explanation:

2(6+4r) = 30r

If I am wrong, please let me know and I will do a re-correction

7 0

3 years ago

Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d

qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0

3 years ago

For f(x)=3x+2 and g(x)=x^2-6, find (f o g)(4)

agasfer [191]

Answer:

32

Step-by-step explanation:

Evaluate g(4), then substitute the value obtained into f(x) , that is

g(4) = 4² - 6 = 16 - 6 = 10, then

f(10) = 3(10) + 2 = 30 + 2 = 32

7 0

3 years ago