A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.
Answer:
The time duration for the population to exceed 10,000 is approximately 6.6 hours
Step-by-step explanation:
The given equation for the population of a bacteria is presented as follows;
[tex]p(t) = P_0 \cdot 1.42^t[/tex]
Where;
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
In the past month, Lashonda rented 7 video games and 1 DVD. The rental price for each video game was $2.90The rental price for the DVD was $3.50. What is the total amount that Lashonda spent on video game and DVD rentals in the past month
Answer:
Lashonda spent $23.8 all together.
Step-by-step explanation:
We solve this by multiplying how many videogames she bought with how much they cost plus how much that one DVD cost.
7 x 2.90 + 3.50
This equals
23.8
SOLVE this for a BRAINLIEST (easy question + 15 points). (Good luck this is VERY EASY!.)
Only the correct answer for the second box gets a brainiest.
Good luck!
Answer:
total change is 8505
Step-by-step explanation:
hope that helped
Please hurry and thank you for your help
Answer:
c. y = -1/3x+3
Step-by-step explanation:
i hope this helps :)
1.How can you find the x-intercept of the graph of 2x+3y=6. Explain in words pls
Answer:
Step-by-step explanation:
The x-intercept is the value of x when y=0.
2x+3(0) = 6
x = 3
The x-intercept is 3
the calculate the mean,____ all the numbers in the data set and then ____
A. add,divide
B.add,subtract
C.count,multiply
D.divide,add
Answer:
D
Step-by-step explanation:
D should be your answer
Law of Sines Round to the nearest degree.
Answer:
Step-by-step explanation:
recall law of Sines Sin(A) /a = Sin(B) / b
for this question
F = A = 105 and a = 37
E = B and b = 28
then plug those into our law of Sines equations
Sin(105) / 37 = Sin(B) / 28
0.025846 = Sin(B) / 28
28 * 0.025846 = Sin(B)
0.72369 = Sin(B)
arcSin(0.72369) = arcSin ( Sin ( B ) )
46.3599 = B
E = 46° ( rounded to the nearest degree)
this one is pretty easy, i just forgot how to do it.
Ms. Tang bought 4 sets of doughnut she created a package of treats using 2/3 of a set. How many packages did she create using all 4 sets
Answer:
3
Step-by-step explanation:
Solve for x and y
Please help it’s timed
Write an equivalent expression to 2 + 3 + 5 + 6 by combining like terms.
Answer:
answers are below
Step-by-step explanation:
(2+3) + (5+6)
(5) + (11)
equivalent expression: 5 + 11
is this the actual expression though? because in this case, i think that your expression should 2x + 3 + 5x + 6 and not what you mentioned.
however, if that is the case then your answer would be:
7x + 9
Ive been working in this for 4 hours please help I don’t understand it at all. I WILL GUVE BRAINLIEST* turned in today would be a life saver.
Answer:
273.25 feet2
Step-by-step explanation:
Daniela can only place the grass in the shaded areas and not the white areas so you want to start by finding the area of the full circle (12.5ft*25ft) and then subtracting the two equal quarter circles on the left and right corners, this can be done by using the radius given (5ft) and finding the area of what the full circle would have been 3.14*(5^2) which is equal too 78.5 (I got 3.14 from pi) and then dividing 78.5 by 4 to find the area of the quarter circle which is 19.625. since there are two quarter circles you multiply 19.625 by 2 and finally subtract your original recttangul by the two quarter circles 312.5(original rectangul)-39.25(the two quarter circles) giving you 273.25 feet2. hope that makes sense
2. If y has a value of 4, give the following equation, what is the value of x? y 2
= 5x
Answer:
3.2
Step-by-step explanation:
I'm not totally sure what you mean. I'm reading it as y² = 5x
So let y = 4
4² = 5x
16 = 5x Divide by 5
16/5 = x
3.2 = x
2) What is the missing term? What rule did you use?
Answer:
13
Step-by-step explanation:
Add one, because each of the ins had an out that was +1
In the figure shown below, if line l is parallel to line m, then find the value of x
Answer:
Step-by-step explanation:
x = 180-65 = 115°
What will your balance be on an investment of $1,000 at 4.% for 5 years compounded annually.
30 POINTS ANSWER
Answer:
200
Step-by-step explanation:
because if you take 4 percent of 1000 you get 40 and 40 x 5 is 200
please help with this! i will mark the best answer brainliest. (image included)
Answer:
6 units
Step-by-step explanation:
A'B'C' is equal to ABC
Help me with this pls
Answer:
x=9
Step-by-step explanation:
dyyfjfjsjujsjsivjsjicuejie82iu3828i$>÷>$>$>×&$:
Answer:
x = 9
Step-by-step explanation:
Cross multiply:
2x = 18
x = 18/2
x = 9
A patio tile design is constructed from a square inscribed in a circle. The circle has radius 6 square 2 feet.
Answer:
Step-by-step explanation:
The edge of the square is 12 feet. Then the area of the square is 144 square feet.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
A porch tile configuration is developed from a square engraved all around. The circle has a span of 6√2 feet.
The edge of the square is calculated as,
(2r)² = a² + a²
2r² = a²
2 × (6√2)² = a²
2 × 36 × 2 = a²
a² = 144
a = 12 feet
Then the area of the square is calculated as,
A = (12)²
A = 144
The edge of the square is 12 feet. Then the area of the square is 144 square feet.
More about the area of the square link is given below.
https://brainly.com/question/1658516
#SPJ2
Brainliest and Thanks
100 points
The spinner below shows 10 equally sized slices. Charmaine spun the dial 40 times and got the following results.
Outcome Grey White Black
Number of Spins 25 9 6
Fill in the table below. Round your answers to the nearest thousandth.
(a) From Charmaine's results, compute the experimental probability of landing on white.
(b) Assuming that the spinner is fair, compute the theoretical probability of landing on white.
(c) Assuming that the spinner is fair, choose the statement below that is true:
1. The experimental and theoretical probabilities must always be equal.
2. As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
3. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
Answer:
9/40= 0.225 (experimental probability for white)
(b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.
2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.
Step-by-step explanation:
After Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket),
Josephine says she can do this by using Dan's equation (1) = -1649 +18 + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct.
Who do you agree with?
Explain your reasoning using mathematical evidence.
Answer:
Step-by-step explanation:
The function is to blurry to see but you would not set the height function equal to zero. Instead h should be set to the height of the basket. The time elapsed would be the second time the ball was at the height of the basket. If I guess what the function is as
-16t^2+18t+8=10
-16t^2+18t-2=0
-16t^2+16t+2t-2=0
-16t(t-1)+2(t-1)=0
(-16t+2)(t-1)=0
So the ball is at 10ft at 0.125s and 1s. So it enters the hoop after 1 second. Of course this is dependent on if I guessed at the correct equation from the picture.
Julie is keeping stats for the baseball team. In 4 games, they scored 28 runs. What is the average number of runs for the 4 games? Enter your answer.
Which side lengths form a right triangle?
Answer:
It is B
Step-by-step explanation: I think
the dog that cared about the cat
Please helllppp . . . only give answer if you are 100% sure it's correct please!!
Solve In(x – 2) – In(x – 3) = 1. Round your answer to three decimal places.
#natural logarithm #algebra 2
Condene the logarithms on the left side by applying the property, ln(a) - ln(b) = ln(a / b):
ln(x - 2) - ln(x - 3) = 1
→ ln((x - 2) / (x - 3)) = 1
Now take the exponential of both sides:
exp(ln((x - 2) / (x - 3))) = exp(1)
(x - 2) / (x - 3) = e
Solve for x :
x - 2 = e (x - 3)
x - 2 = e x - 3e
x - e x = 2 - 3e
(1 - e) x = 2 - 3e
x = (2 - 3e) / (1 - e) ≈ 3.582
Find two integers whose sum is -15 and product is 50
Answer:
-10 and -5
Step-by-step explanation:
-10 + (-5) = -5
-10 x -5 = 50
What is the area of this
Answer:
48
Step-by-step explanation:
The equation of a straight line is 3y + 9x -12 =0. Use the equation to find the
(1) gradient of the line
Answer:
-3
Step-by-step explanation:
Divide through the equation by the leading coefficient to obtain:
y+3x-4=0
y=4-3x
and our gradient is -3
What is the area of the parallelogram (a) 168s sq inches b) 140 sq inches c) 130 sq inches d) 120 sq inches
Answer:
Step-by-step explanation:
Area of a parallelogram is given as the multiplication of its length by that of its height or breadth, however you call it.
In this question, you didn't state the length nor the breadth or height. You just listed the answers. It's very hard knowing the answer without having its dimensions. However, I can tell you that on the diagram or drawing you have there with you, multiply the two distance given to you together, it ought to give you one of the four options you listed above. Be it 168, 140, 130 or even 120 square inches.
i need help with this one what is the value of the expression 10p-5/5 + 3(p-1) when p =2?
and put the steps to
Answer:
6
Step-by-step explanation:
10p-5/5 + 3(p-1) when p =2?
1)10(2)-5= 20-5= 15/5= 3
2) 3(2-1)=3(1)=3
3) 3+3=6
solved: x=8 y=12 (used elimination method)
A truck transports 20 boxes of different masses.
Some boxes (C1) weigh 28 kg each , others (C2)
weigh 16 kg each.
Knowing that the total mass of the boxes is
416 kg , how many boxes of each category are
there?
supose there are only c1
20*28 =560
560-416=144
28-16=12
144/12=12(c2)
20-12=8(c1)
crown?