• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First, it is going upwards from left to right so we know it'll be positive. Then we do the following:

[tex]\frac{rise}{run}=\frac{change.in.y}{change.in.x}=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}=\frac{0--1}{2-0}=\frac{0+1}{2-0}=\frac{1}{2}[/tex]

("." in the second fraction is for separate words)

So the slope is [tex]\frac{1}{2}[/tex]

Hope this helps, have a nice day! :D

Step-by-step explanation:

Can You Explain In Brief?

Answer:

where are the statements

please check it

Answer:

6 machines

Step-by-step explanation:

Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)

[tex] \frac{1}{x} [/tex]

rate of 4 machines would be

[tex]1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days[/tex]

[tex] \frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines[/tex]

To factor an expression is to rewrite the expression in a factored form

The factored expression of 15ab + 24bc is 3b(5a + 8c)

The expression is given as:

15ab + 24bc

Factor out b from the expression

15ab + 24bc = b(15a + 24c)

Factor out 3 from the expression

15ab + 24bc = 3b(5a + 8c)

The expression can no longer be factorized.

Hence, the factored expression of 15ab + 24bc is 3b(5a + 8c)

Read more about factorization at:

https://brainly.com/question/19386208

what the holligram

i dont know

Answer: The answer is 5 laps per day

Step-by-step explanation: Just do 15 divided by 3 because if they are asking for laps per day and there are 15 laps in 3 days. You just divide 15 days by 3 days to get how many laps are in per day. And you'll get 5.

Answer:

24+31i

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

16/x = 80/100

16/x because 16 is your part and you are trying to find your whole (x)

80 is your part and 100 is your whole (this is from percent)

Cross multiply:

1600 = 80x

1600/80 = x

x = 20

Step-by-step explanation:

16×100÷80

=20

THE TOTAL IS 20

Answer:

24

Step-by-step explanation:

the first time the rate was half the baskets, so the second time staying at the same rate it would be half the baskets again, which is 24.

Answer:

Step-by-step explanation:

Use vector addition

d = √(15² + 30²) = √1125 = 33.54...≈ 34 m

Answer:

$3.45 per pound of turkey.

Step-by-step explanation:

$7.59 for 2.2[0] pounds of turkey

x = 1 pound of turkey.

Divide 7.59 ÷ 2.20

$3.45 is your answer.

You could also use a ratio table, but with lots of trial and error!

Hope this helps :)

Answer:

the ans is 3.45$... good luck

Answer:

Step-by-step explanation:

Answer:

0.2222 of growth in a month

Step-by-step explanation:

2/3feet / 3 months

Answer:

The rate of growth of sprout seed in 3 months is 1.14%

Step-by-step explanation:

Given as:

The length of seed sprout grew =  foot

The time period for sprout grew = 3 month

Let The rate of sprout grew = r%

Let The initial length of seed = l foot

So, The length of seed sprout grew after 3 months =   × l foot

Now, According to question

The length of seed sprout grew after n months =  

Or ,   × l  =  

Or,  =  

Or, 1 +  =  

Or,  = 1.14

∴ r = 1.14 ×100 = 114

So, The rate of growth = r = 1.14 %

Hence The rate of growth of sprout seed in 3 months is 1.14%

Answer:

hope this helps

check the picture attached for steps

Answer:

2 11/12 Square feet

Step-by-step explanation:

What we do is convert the mixed numbers into improper fractions

2 x 2 + 1 = 5

1 x 6 + 1 = 7

our new fractions are 5/2 and 7/6

find the least common denominators LDC

new fractions 15/6 and 7/6

multiply 15/6 x 7/6= 35/12

simplify into mixed number =  2 11/12

If there's no built-in function for csc⁻¹, you can use the identity

csc⁻¹(x) = sin⁻¹(1/x)

which works because if we replace x = csc(y), for instance, we end up with

csc⁻¹(csc(y)) = sin⁻¹(1/csc(y))

and over an appropriate interval, the left side reduces to y, while 1/csc(y) = sin(y) so that the right side also reduces to sin⁻¹(sin(y)) = y.

Answer:

it is c - y = sin -1 (1/x)

Step-by-step explanation:

EDGE whatever the year

9514 1404 393

Answer:

  s = 2°

Step-by-step explanation:

The triangle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to write an equation that can be solved for s.

  s +38° +34s +72° = 180°

  35s = 70° . . . . . . . . . . . . . subtract 110°

  s = 2° . . . . . . . . . . . . . divide by 35

_____

Check

The triangle angle measures are (s+38°) = 40°, 34s = 68°, and 72°. These total 180°, as they should.

[tex]\\ \sf\longmapsto y=\dfrac{(x+2)}{(x+2)(x-17)}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x(x-17)+2(x-17)}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-17x+2x-34}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-15x-34}[/tex]

[tex]\\ \sf\longmapsto 6=\dfrac{x+2}{x^2-15x-34}[/tex]

[tex]\\ \sf\longmapsto 6(x^2-15x-34)-x-2=0[/tex]

[tex]\\ \sf\longmapsto 6x^2-90x-204-x-2=0[/tex]

[tex]\\ \sf\longmapsto 6x^2-91x-206=0[/tex]

Done

_________

[tex]\:[/tex]

Answer in the picture.

Answer:

you started at (-5, 4)

Step-by-step explanation:

do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.

Answer:

Rs.5500 is the correct answer .

Answer:

80.00

Step-by-step explanation:

His Bags weighs 80.00 in Ounces

Hello XxItzYourLifexX!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Let's take the fraction as x/y , where x = numerator & y = denominator.

Given,

1st condition :-

[tex] \rightarrow \frac{x + 1}{y - 1} = 1 \: \: \: \: \: \: \: \: \: - - (1) \\ [/tex]

2nd condition :-

[tex] \rightarrow \frac{x}{y + 1} = \frac{1}{2}\: \: \: \: \: \: \: \: \: - - (2) \\ [/tex]

__________________

Now, let's take eq. (2) & find the value of x using cross multiplication.

[tex] \frac{x}{y + 1} = \frac{1}{2} \\ 2x = 1(y + 1) \\ 2x = y + 1 \\ x = \frac{y + 1}{2} [/tex]

We got x as y+1/2. Now, let's substitute this value of x in eq. (1) & solve it using cross multiplication.

[tex] \frac{x + 1}{y - 1} = 1 \\ \frac{ \frac{y + 1}{2} + 1 }{y - 1} = 1 \\ \frac{ \frac{y + 1}{2} + 1}{y - 1} = \frac{1}{1} \\ \frac{y + 1}{2} + 1 = y - 1 \\ \frac{y + 3}{2} = y - 1 \\ y + 3 = 2(y - 1) \\ y + 3 = 2y - 2 \\ y - 2y = - 2 - 3 \\ - y = - 5 \\ \boxed{ y = 5}[/tex]

The value of y is 5. Now, let's find x. (x = y+1/2)

[tex]x = \frac{y + 1}{2} \\ x = \frac{5 + 1}{2} \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]

So, the values of x & y respectively are 3 & 5. Now, the required fraction will come in the form of x/y. So, the fraction is...

[tex] \frac{x}{y} \\ = \large\boxed{\boxed{ \bf\frac{3}{5} }}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

hope it helps and u understand

check the steps in picture attached

Answer:

A=0.4

B=0.4

D=0.4

Because they are all the same

Step-by-step explanation:

Answer:

83.42

Step-by-step explanation:

Answer:

83.42

Step-by-step explanation:

x = 9.7 x 8.6

= 83.42

Answer:

b = -50/7

Step-by-step explanation:

1. The formula to find y-intercept (b) given two points is [tex]b = y_1 - m * x_1[/tex], but let's first find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

2. Now that we have the slope, let's use the formula for finding the y-intercept.

Therefore, the y-intercept is -50/7.

     The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."

(I saw the image on another question you had asked. Have a nice day!)