Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
Find a. brainliest!!
Answer:
what are you trying to find.How many degrees to z or y
Step-by-step explanation:
I need an example of a proportional relationship
Answer:
if you want an equation... an example could be
y=3x+5
Step-by-step explanation:
Answer:
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
pls give brainliest
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 - 20
lesser x =
greater x =
Answer:
lesser x = -2
greater x = 2
Step-by-step explanation:
The values of a function f(x) are the values of x for which f(x) = 0.
In this question:
[tex]f(x) = 5x^2 - 20[/tex]
So, finding the zeros:
[tex]5x^2 - 20 = 0[/tex]
[tex]5x^2 = 20[/tex]
[tex]x^2 = \frac{20}{5}[/tex]
[tex]x^2 = 4[/tex]
[tex]x = \pm \sqrt{4}[/tex]
[tex]x = \pm 2[/tex]
So
lesser x = -2
greater x = 2
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
O
0 1 2 3 4 5 6 7
8
9 10
Plot B
0 1
2
3 4 5
7
8 9 10
Which statement compares the shape of the dot plots?
Mark this and return
Save and Exit
Sun
Answer:
I think its B
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Y = 0 , X = - 3/2
Step-by-step explanation:
Answer:
just give the brainliest to him
Step-by-step explanation:
Find the product of the
L.C.M and H.C.F of 8 and 12.
Answer:
96 is the answer.Step-by-step explanation:
The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4We multiply 24 *4 we shall get 96 as the answer.Answer:
24*4=96
Step-by-step explanation:
lcm of 8 and 12 is 24
hcf of 8 and 12 is 4
24 times 4 = 96
i givvvveeeee brainlilsttttttt
Answer:
thanks
Step-by-step explanation:
your welcome
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?
Answer:
P (34<X<39) = 0.5899
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 37, \sigma = 3[/tex]
What is the probability that a cat would return to it's dish between 34 and 39 times a day.
This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So
X = 39
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 37}{3}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 37}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.7486 - 0.1587 = 0.5899
So
P (34<X<39) = 0.5899
I WILL GIVE BRAINLIEST PLS I NEED HELP, The scale drawing of a field in the shape of a triangle is shown below.
What is the actual area, in square meters, of this field?
Answer:
20
Step-by-step explanation:
I don’t know the answer to this question, I need help the question is in the picture!
Answer:
it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)
help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!
Step-by-step explanation:
49
only the positive 49
hope this helps bro!!
if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
is the relation shown below a function?
Answer:
No it's not a function, because the domain 20 repeats.
Holiday dinners at June’s house are always a festive occasion. One particular holiday, June has 16 guests.
June offers the guests apple pie and blueberry pie. While any guest can have slices of both pies, June never serves a particlar guest more than one slice of each pie and each guest is allowed to decline any slice of pie they don’t care for.
June serves a total of 10 slices of apple pie and a total of 11 slices of blueberry pie.
June serves 8 guests slices of both pies.
How many guests had no pie at all?
a. 3
b.2
c.0
Answer:
a. 3
Step-by-step explanation:
We solve this question gathering the information given in the question.
June serves 8 guests slices of both pies.
This is soon going to be used
June serves a total of 10 slices of apple pie
This includes the 8 guests which got served both pieces. So 10 - 8 = 2 guests were served only apple pie.
11 slices of blueberry pie.
By the same logic as above, 11 - 8 = 3 guests were served only blueberry pie.
So
8 + 2 + 3 = 13 guests were served at least one pie.
16 - 13 = 3 guests had no pie at all.
a youth organisation collected nickels and dimes for a charity drive. by the end of the 1 day drive, the youth had collected $45.90. if there were four times as many dimes as nickels,how many of each type of coin was collected?
Answer:
Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer
Step-by-step explanation: anyway Nothing
Please answer this correctly without making mistakes
Answer:
5 tons and 8 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds.
40 tons is equal to 80000 pounds (40*2000)
80000+64=80064
80064/8 = 10008
10008 is equal to 10000+8
10000/2000 = 5
5 tons and the leftover 8 is pounds
Hope I was able to help! Good Luck!
12p+ 15 - 13 - 12p
And show me how you got the answer
Answer:
2
Step-by-step explanation:
According to me, you would just have to combine like terms and simplify them as much as possible.
12p + 15 - 13 - 12p
12p - 12p + 15 - 13
0 + 15 - 13
0 + 2
2
Hope this helps :D
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
Which expression has a value greater than 4^3?
Answer:
(-3)^4
Step-by-step explanation: We just have to evaluate
So, the only expression that exceeds 4^3 is (-3)^4:
find the value of x for which
З(2^x-3) = 384
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
what is 5x + 4x
and find the coefficient
Answer:
9x
9 is the coefficient
Step-by-step explanation:
5x + 4x
These are like terms (they both have the same variable (x))
5x + 4x = 9x
The coefficient is 9, since it's the number in front of a variable.
Hope this helped!
the missing exponent 1,728 =12 (?)
Answer:
x=144
Step-by-step explanation: