Answer:
500(1/2)^t/2
Step-by-step explanation:
Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.
f(t)=2000(b)ct
After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:
f(t)f(t)=500(12)12(t)=500(12)t2
Alternate Solution
The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:
500a=a(b)0=500
The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:
25025050012(12)12b=500(b)2=b2=b2=b≈0.7071
This gives the final exponential equation:
f(t)=500(0.7071)t
When the exponential function that represents the size of the bacteria population after t hours is = [tex]500(1/2)\wedge t/2[/tex]
Calculation of Exponential functionWhen we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.
Then, f(t)=2000(b)ct
After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:
Then, f(t)f(t)=500(12)12(t)=500(12)t2
Now, an Alternate Resolution
When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:
After that, 500a=a(b)0=500
Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:
Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071
So, This gives the final exponential equation:
Therefore, f(t) is =500(0.7071)t
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HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer: 1:3
Step-by-step explanation:
18 Spanish and 6 French
ratio of French to Spanish is 6:18 reduced to1:3
(fractions) 8/9 + 3/18
Answer:
13/18
Step-by-step explanation:
s t u p i d
I will mark as the brainlest if correct
Answer:
Answer A
Step-by-step explanation:
What is the measure of angle R?
Enter your answer as a decimal in the
box. Round only your final answer to
the nearest hundredth.
Answer:
45??? or 30 I'm not very good with angles
A circle has a circumference of 12. It has an arc of length 11.
What is the central angle of the arc, in degrees?
Answer:
330 degrees
That's the central angle arc
Find the surface area of the three-dimensional figure. ______ cm^2
6 cubes are glued together to form the solid shown in the diagram if the edges of each cube measure 1 and 1/2 in into length what's the surface area of the solid
Answer 58 1/2:
Step-by-step explanation:
A farmer sells 9.9 kilograms of pears and apples at the farmer's market. 3 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
6.4
Step-by-step explanation:
Not a clear question. Is it 3.5 of this weight or, as it is written, 3 5? If the first, then the answer is 6.4.
Why is it that mutations to body cells do not affect offspring?
Answer:
no such about what you are saying to me
can you help me for real and not give me forbidden content
from other websites they dont help and this website is starting to go downhill with all the virus givers people are quitting because of this so if your one of them people who dont know then dont answer
Answer:
c
Step-by-step explanation:
There are 30 students in a math class.
If 28 were present for class, what
percent are in class?
Answer:
93%
Step-by-step explanation:
28 divided by 30= 0.93
0.93= 93%
Answer:
100%
Step-by-step explanation:
30 +28=58 this is the total of people in class
58/58× 100=100%
Find the gradient of the line segment between the points (-3,3) and (4,4).
Give your answer in its simplest form.
Answer:
1/7
Answer:
2.
Step-by-step explanation:
The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Where y2 = 7
y1 = 3
x2 = 4
x1 = 2
=> m = (7 - 3) / (4 - 2)
m = 4 / 2 = 2
The gradient is 2.
When x is 4, y is 6. When x is 10, y is 15.
Which description is part of the same proportional relationship?
O When x is 7, y is 8.5.
When x is 9, y is 11.
When x is 5, y is 10.
o
When x is 3, y is 4.5.
Answer:
When x is 3, y is 4.5
Step-by-step explanation:
The difference between 4 and 6 is 1.5 and so is 10 and 15,
3 x 1.5 = 4.5
Answer:
I think it is the last one
i might be wrong though
What is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 44?
Answer:
y = 44x + 184
Step-by-step explanation:
y = mx + b
-8 = 44(-4) +b
-8 = -176 + b
176 + 8 = b
184 = b
I need help on my home work
Answer:
24/9
Step-by-step explanation:
one face is 4/9 is that's what 2/3² is
then multiply that by the number of faces a cube has (6)
and you get 24/9
What is the first and second step to solving
3x+4=34
Answer:
X = 10
Step-by-step explanation:
3x+4=34
3x = 34 - 4
3x = 30
X = 30/3
X = 10
PLZ HELP ASAP 30 POINTS (Plz show work)
Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24
Answer:
x=6 x=-1
a=1.5 a=-2
n=-1.5 n=4
Step-by-step explanation:
(a) (b) (c)
10a2+5a-30
x=-b+-√b2-4ac/2a
a=-5+-√(5)2-4(10)(-30)/2(10)
a=-5+-√25+1200/20
a=-5+-√1225/20
a=-5+√1225/20
a=1.5
a=-5-√1225/20
a=-2
i need help what is the area of this composite figure
Answer:
Lol
Step-by-step explanation:
Answer:
104 ft^2
Step-by-step explanation:
Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)
Answer:
No, it is not a solution
Step-by-step explanation:
Given
[tex]x - y = 4[/tex]
[tex]2x + y = 5[/tex]
Required
Is (4,3) a solution?
(4,3) implies that: [tex]x = 4\ y =3[/tex]
So:
[tex]x - y = 4[/tex]
[tex]4 - 3 = 4[/tex]
[tex]1 \ne 4[/tex]
Because 1 and 4 are not equal, then (4,3) is not a solution
What do you get if you combine 3x + 18?
A. 3x + 18 cannot be combined because 3x and 18 are not like terms
B. 21x
C.54x
Answer:
the answer is a
Step-by-step explanation:
Answer:
A. 3x + 18 cannot be combined because 3x and 18 are not like terms
Step-by-step explanation:
this is the simplest terms the expression can be left at since is it not equal to anything
Which is the better value $5 for4 mangoes or $6 for 5 mangoes
Answer:
Answer would be $6 for 5.
Step-by-step explanation:
I think its the better offer because you could get 5 mangoes for $6. Even tho it is pricey, you get more mangoes. Hope it helps!
Explain why the denominator 8 in 8/4 is not changed when adding the fractions.
Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction
Step-by-step explanation:
What is the mean of these numbers?4,5,5,2,3,3,2,8
Answer:
4
Step-by-step explanation:
Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.
Given informationThe given numbers of the data set are,
4,5,5,2,3,3,2,8
Total numbers are 8.
MeanMean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.
Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.
The mean can be calculated with the following formula,
[tex]\overline x=\dfrac{\sum x}{N} [/tex]
Here N is the total number of the values in the set.
Put the values in the above formula,
[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]
Hence the mean value of the given data set is 4.
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Question one:
what is the first step to solving x+5=27
And what is the answer using perfect algebra format
Question two:
What is the first step to solve 3w=-4 and what is the answer to the problem
I’ll mark Brainlyist Please Answer!!!
Answer:
The answer to number 6: 230.4(the unit measurement "cm" "mm" etc)
The answer to number 7: 140.673538 rad
Step-by-step explanation:
For number 6: To find area, it is length times width times height. In this case, the length is 7.2. The width is 8. The height is 4.
So length (7.2) times width (8) times height (4).
7.2 times 8 is 57.6
57.6 times 4 is 230.4
For number 7: To find the area it is length times width times height. In this case, the length is 62°. The width is 13. The height is 10.
So length (62°) times width (13) times height (10).
62° times 13 is 14.0673538 rad
14.0673538 rad times 10 is 140.673538 rad
If f(x) = x + 7 and g(x) = Square root X-3,
what is (fºg)(4)?
Answer:
Step-by-step explanation:
Answer:
x = [tex]\sqrt{4}[/tex] = ±2
Step-by-step explanation:
[tex]\sqrt{-x+7+x-3}[/tex] = [tex]\sqrt{4}[/tex]
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of the lengths of their edges?
Answer:
8:1
Step-by-step explanation:
Volume of a cube = Length of edge³
So the equation for the small cube is,
V=L³
If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:
V = (2L)³
= (2³)L³
= (8)L³
Combining these two in ratio form:
(8)L³ : (1)L³
You can remove the L³ from each side because they are equal
So the answer is 8:1
1.2. The following sum was answered by a gr 8 learner:
5 x 9 + 6
= 75
Is the answer correct? Supply reasons.
Answer:
The answer isn't correct because the first operation must be 5 × 9 and then + 6 . The rule is that we must do multiplication first
...................
Which inequality is true for x = 2?
A. 6x + 20 < 29
B. 7x - 10 < 11
C. 14x +10 < 37
D. 15x - 18 < 12
A bucket has 16 tennis balls and 10 ping pong balls . What is the probability of selecting a ping pong ball , replacing it and then selecting a tennis ball
Answer:
40/169
Step-by-step explanation:
P(pp,tennis) = [tex]\frac{10}{26}[/tex] × [tex]\frac{16}{26}[/tex] = 40/169 in simplified form
The probability of selecting a ping pong ball, replacing it and then selecting a tennis ball is 40/169.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Tennis ball = 16
Ping pong balls = 10
So, probability of selecting a ping pong ball, replacing it and then selecting a tennis ball
= 10/ 26 x 16/26
= 40/169
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