Answer: It is C
Step-by-step explanation:
Good luck on your test or homework
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
the range of the quedractic function is {y|y
well I have no idea what that means but I hope you find your answer
Answer: The question is incomplete, Hope I could've helped.
anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?
Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]
Hence,
Anna and Ojo will have same amount after 13 days.
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
What’s the answer to this problem
Answer:
1.2075
Step-by-step explanation:
Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)
Answer: 1.2075
Step-by-step explanation:
multiply 0.69*1.75 and u will get 1.2075
thank you
if this helps
Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
what is equivalent to the expression 2/5 divided by 4
PLEASE HELP AND ANSWER ALL 3
Answer: 10.) -6 and it's B
11.) A
12.) C
Step-by-step explanation:
You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?
A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi
Step-by-step explanation:
Slope of the mountain
= Rise in height / Run in distance
= (4215ft - 3720ft) / 5 mi
= 495ft / 5mi
= 99ft/mi. (C)
Please help this is worth 30 points
Help me I'm too tired to think and this is easy.
Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)
Answer:
equal to
Step-by-step explanation:
two negatives equals positive
Answer:
Equal
Step-by-step explanation:
Double negative equals a positive. Gn
Points!
( you cant respond from the last 2 i did)
have a nice day :)
Answer:
Thank youuuu!!
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?
Answer:
36
Step-by-step explanation:
so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.
What is the linear inequality that represents the graph shown?
Answer:2/4
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Answer:
y<-1/3x+3
Step-by-step explanation:
The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).
The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).
To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))
(0)>-1/3(0)+3 (0)<-1/3(0)+3
0>0+3 (0)<+3
0>3 0<3
The one to the right, 0<3, is true so the sign is a less than sign.
Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
Can someone please answer 1 for me? Whoever can answer gets brainliest
Evaluate the expression when a =
and b = 6.
16a? – 4b =
Answer:
Step-by-step explanation:
16(1/4)^2 - 4(6)
16(1/16) - 24
1 - 24 = -23
Help please with both of these questions :(
What percent of the large square is shaded?
Answer:
48%
Step-by-step explanation:
a little less than half is shaded
The percent of the shaded square will be 48%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A large square is shown in figure.
Now,
In a figure,
The number of small squares = 100
And, Number of shaded squares = 48
Hence, The percent of shaded square = 48/100 × 100
= 48%
Learn more about the percent visit:
brainly.com/question/24877689
#SPJ2
A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?
Answer:
1 hour and 12 mins and 56 seconds
Step-by-step explanation:
Hope this helps and have a great day!!!
What is the value of 1/2 x^3+3.4y when x=2 and y=5?
Help please I will Brainly
Answer:
we have the same computer
Step-by-step explanation:
Answer:
[tex]114\:\mathrm{yd^2}[/tex]
Step-by-step explanation:
The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:
[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].
What is the distance between the points (-9,5) and (8,5)
Answer:
17 units
Step-by-step explanation:
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):
Let,
[tex] (x_1, y_1) = (-9, 5) [/tex]
[tex] (x_2, y_2) = (8, 5) [/tex]
Plug in the values into the distance formula:
[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]
[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]
[tex] d = \sqrt{(289 + 0)} [/tex]
[tex] d = \sqrt{289} [/tex]
[tex] d = 17 [/tex]
Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]
Answer:
[tex]L_4=0.7595[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=\frac{1}{x-1},[/tex][2,3]
We have to find L4
It means n=4
[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]
Now, intervals are
[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]
Now,
[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]
[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]
[tex]L_4=0.7595[/tex]
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
Help me pleaseeeeeeeeeeee
Answer: 990 lb
Step-by-step explanation:
t = (4 x 180) + (3 x 90)
t = 720 + 270 = 990
father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step
Answer:
5 steps
Step-by-step explanation:
[tex]65cm \times 8 = 520cm[/tex]
[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]
[tex]25 \times 8 = 200cm \: gap[/tex]
[tex]200 \div 40 = 5[/tex]
Answer:
His daughter has walked 13 steps
Step-by-step explanation:
Unit Conversion
Each step of the father is 65 cm long and each step of his daughter is 4 dm long.
Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.
Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.
His daughter has walked 13 steps