Answer:
It will take 26.34 minutes for the population to reach 5 times its initial value
Step-by-step explanation:
Exponential Growing
The population of bacteria grows at a rate expressed by the equation:
[tex]f(t)=256e^{0.06111t}[/tex]
Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:
[tex]f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256[/tex]
Now we find the time when the population is 5*256=1,280. The equation to solve is:
[tex]1,280=256e^{0.06111t}[/tex]
Dividing by 256:
[tex]e^{0.06111t}=1,280/256=5[/tex]
Taking natural logarithms:
[tex]ln\left(e^{0.06111t}\right)=ln5[/tex]
Applying the logarithm properties:
[tex]0.06111t=ln5[/tex]
Solving for t:
[tex]t=ln5/0.06111=26.34[/tex]
It will take 26.34 minutes for the population to reach 5 times its initial value
find the product :
(127)(-65)
Answer:
-8255
Step-by-step explanation:
what is -0.3 x -10/11
Answer:
-0.3x-10/11=3/11
simplify this algebraic expression.
y-3/3+12
A.y+11
B.y-5
C.y+13
D.y-11
Answer:
A. y+11
Step-by-step explanation:
-3/3 = -1
12 + ( -1 ) = 11
y + 11
hope this helped :)
The given rates are equivalent $15 for 3 masks and $20 for 5 masks true or false
Answer:
No
Step-by-step explanation:
15/3=5
20/5=4
The second one is 4 dollars per mask while the first is 5 per mask
Hoped this helped!
Bush Middle school is selling spirit sticks, 4 for $5.00. What is the cost of one spirit stick? *
Answer:
1.25
Step-by-step explanation:
because 4 is 5 dollars so thats mean u divide 5 to 4 which that give u 1.25
the square below represents one whole. express the shaded area as a fraction, a decimal,and a percent of the whole
Answer:
You got to show the square… LOL
Step-by-step explanation:
The health club offers a silver membership and a gold membership at the table contains information about the one time registration fee and monthly fee for each membership and which of the following number of months with the gold membership be a better value than the silver membership 
Answer: after 13 months
Step-by-step explanation:
plz help I'll give u 20 points
Answer:
It's the second choice.
Step-by-step explanation:
4) At lunch, you volunteer to go out to buy sandwiches. You get 6 chicken sandwiches and 6
ham sandwiches for $30. Later that afternoon, everyone gets hungry again. You go to the same
shop and buy 4 chicken sandwiches and 8 ham sandwiches for $30.60 What was the price of
each sandwich?
(assume tax is included in the totals)
Answer:
Cost chicken sandwich is $2.35
Cost of ham sandwich is $2.65
Step-by-step explanation:
Let the cost of chicken sandwiches = c
Let the cost of ham sandwiches = h
Number of chicken sandwiches = 6
Number of ham sandwiches = 6
So,
6c + 6h = 30 ------ (I)
Number of chicken sandwiches on second round = 4
Number of ham sandwiches on second round = 8
4c + 8h = 30.6 ------ (ii)
We have two sets of of equations, let us solve;
6c + 6h = 30 ------ (I)
4c + 8h = 30.6 ------ (ii)
From equation i, divide through by 6 to give;
c + h = 5
c = 5 - h
Input into equation ii;
4(5 - h) + 8h = 30.6
20 - 4h + 8h = 30.6
4h = 30.6 - 20
4h = 10.6
h = 2.65
Price of ham sandwich = $2.65
Now, for the chicken sandwich;
c = 5 - 2.65 = $2.35
Cost chicken sandwich is $2.35
Cost of ham sandwich is $2.65
#1. Jerry added sprinkles to
13 out of 25 cupcakes. Write
the equivalent amount of
sprinkled cupcakes as a
decimal.
Answer: 0.52
Step-by-step explanation:
hope this helps
find the value of x
115-5x-10
Answer:
i assume the question is 115-5x=10
Step-by-step explanation:
if yes then the answer will be
-5x=125
-5x/-5=125/-5
x=25
Find the length of the leg x. Enter the exact value, not a decimal approximation.
Answer:
x = 2√13.
Step-by-step explanation:
Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
Can someone help with this as soon as possible thanks
Answer:
72, 144, 216, 288
Step-by-step explanation:
A geometric figure has rotational symmetry if the figure appears unchanged after a rotation about a point by an angle that is between 0° and 360°. 0° and 360° are excluded since they represent the original position, nothing new happens. The angles of rotational symmetry will be factors of 360.
Please mark Brainliest when you’re able :)
A parachutist's rate during a free fall reaches 225 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall?
Answer:
62.5 m/s937.5 mStep-by-step explanation:
1 km/h = (1000 m)/(3600 s) = 1/3.6 m/s
Then
225 km/h = 225(1/3.6) m/s = 62.5 m/s
In 15 seconds, that's ...
(15 s)(62.5 m/s) = 937.5 m
Answer:
62.5
and
937.5
Step-by-step explanation:
Which one is the right one?
PLZ HELP FAST looks easy
Answer:
1 is 125, 2 is 175, 3 is 225, 4 is 275.
Step-by-step explanation:
50 for one hour plus 75.
50+75=125
50+50+75= 175
50+50+50+75=225
50+50+50+50+75=275.
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $40, $80, and $100, depending on the section. He wants to have twice as many $40 tickets as the sum of the other tickets, and he wants to earn $186,000 from a full house. Find how many seats he should have in each section.
The number of $40 seats is__?
The number of $80 seats is__?
The number of $100 seats is__?
Answer:
1,100 for each section
Step-by-step explanation:
3300 divided by 3 equals 1100
Ernesto has a jump rope that is 10.5 feet long. To make the jump rope the jdeal length for his height, Emesto needs to cut off 0.3 of the jump rope. If Ernesto does this, how much rope will he cut off?
Answer:wouldnt he cut of 0.3?
Step-by-step explanation:It legit says that in the question and ther will me 10.2 feet left
Answer:
it is c
Step-by-step explanation:
What is the value of 12 Superscript 0?
Answer:
It's 1
Step-by-step explanation:
What percent of 34 is 39?
Answer:
87.18
Step-by-step explanation:
Answer:
114.706%...or 1.14706
Step-by-step explanation:
divide 39 by 34 and you will get 1.14706 and multiply by 100 to get the percentage 114.705% if you round 115%
I WILL GIVE BRAINLEIST PLEASE HELP
The height of a golf ball hit in the air is modeled by the equation ℎ(t)=−16t2 + 48t, where ℎ(t) represents
the height, in feet, and t represents the number of seconds that have passed since the ball was hit.
Complete the statement about the function for ℎ(2)=32
If ℎ(2)=32 , then the ball reached a height of _________ feet after _________ seconds.
Answer:
16 feet, 2 seconds
Step-by-step explanation:
as the problem state that h= height and t = time, to get the h you need to isolate it so we divide it by 2 and we get 16 feet. The 2 are already in the problem h(2).
0.5 times -8 3/5[/tex] Help I need the answer quick
Answer:
0.5 times -8 3/5
Step-by-step explanation:
Subtract both numbers and you will get the answer.
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates
A (1,4);B(3,−2); and C(4,2).
Find the coordinates of the image
A'B'C' after a reflection over the x-axis.
Given:
Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).
Triangle ABC reflected over the x-axis to get the triangle A'B'C'.
To find:
The coordinates of the image A'B'C'.
Solution:
If a figure reflected over the x-axis, then rule of transformation is
[tex](x,y)\to (x,-y)[/tex]
Now, using this rule, we get
[tex]A(1,4)\to A'(1,-4)[/tex]
[tex]B(3,-2)\to B'(3,2)[/tex]
[tex]C(4,2)\to C'(4,-2)[/tex]
Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).
Frieda and three of her friends decide to go canoeing. They each rent a life preserver for $12.75. They split the cost of the canoe. If each person pays $23.75, how much did the canoe cost?
Answer:
The canoe cost $44
Step-by-step explanation:
There are 4 friends that went canoeing. Each one of them spent a total of $23.75 including $12.75 for the rent of a life preserver, and for one-fourth of the canoes cost, assuming they split the total cost of the canoe.
From the $23.75, we must subtract the $12.75 that the life preserver cost:
$23.75-$12.75 = $11
Those $11 were the individual contribution to the cost of the canoe. Since there were 4 friends, the canoe cost 4*$11 = $44
The canoe cost $44
g The number of individuals arriving at a food pantry in a small city averages eight per day. Assume the Poisson distribution. What is the probability that, on any given day, there will be 9 individuals arriving at the food pantry
Answer:
The probability that on any given day, there will be 9 individuals arriving at the food pantry is 0.1241
Step-by-step explanation:
Here, we are to use Poisson distribution probability formula
Please check attachment for detailed explanation
I need help with this geometry question
Answer:
A=82
b=71
c=71
d=54
e=44
f=109
g=73
How to make 24 with numbers 3,3,7,4
Answer:
3*(4-3+7) = 24
Step-by-step explanation:
(4-3+7) = 8
8*3 = 24
You're welcome :)
What is this expression in simplified form?
What is the angle of elevation from the submarine to the boat
Answer:
What sumbarine and what boat?
Step-by-step explanation:
Solve the inequality
4(x + 3) - 72 x + 3(x + 1)
Answer:
= -65x + 15
Step-by-step explanation:
You Welcome ❤
Answer:
=-65+18i think sorry I'm not much help but I hope it was right
