Answer:
20.6
Step-by-step explanation:
A virus takes approximately 20.6 days to triple its original population.
What is the formula of exponential growth?"[tex]f(x)=ab^x[/tex],
where a is the initial value
b is the growth rate
x is time. "
For given question,
Suppose the function for the population growth is,
[tex]A(t)=A_0\times b^t[/tex] .........(1)
For t = 13, the population growth of virus would be,
[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex] ..........(2)
But we have been given that a virus takes 13 days to double its original population.
[tex]\Rightarrow A(13)=2\times A_0[/tex] .........(3)
From (2) and (3),
[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]
We need to find the number of days to triple its original population
[tex]\Rightarrow A(t)=3\times A_0[/tex] ...........(4)
From (1) and (4),
[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]
Therefore, a virus takes approximately 20.6 days to triple its original population
Learn more about the exponential growth here,
https://brainly.com/question/11487261
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directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
___% of $6,000 = $5,400
Pls tell me how to do this
Answer:
45
Step-by-step explanation:
jffjgnjfgnjgjfgjs
Answer:
90%
Step-by-step explanation:
1. We assume, that the number 5400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5400, so we can write it down as 100%=5400.
4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.
5. Now we have two simple equations:
1) 100%=5400
2) x%=6000
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5400/6000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 6000 is what percent of 5400
given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t
9514 1404 393
Answer:
x = (rs -t)/(3r)
Step-by-step explanation:
[tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]
1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
It’s not 4 feet of snow that is 60% of snow that will fall. how much snow will fall??
Answer:
60% of snow
Step-by-step explanation:
2(7m−5)+(−8+9m)=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
which is greater 0.25 or 0.04
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
Applications of Quadratic Functions. Please help! Ignore C. I keep getting imaginary numbers. Am I supposed to get imaginary numbers? 9 points!
Answer:
Step-by-step explanation:
1.
a)
Find the vertex by completing the square to answer both a and b
d)
x-ints is when y=0
so use quadratic equation for
b^2-20b+200=0
a=1
b= -20
c=200
But notice these imaginary numbers means 0 x intercepts.
A polynomial function of the root of -6 wth multipcily 1, a root of -2 with multiplicity 3, a root of 0 wth multiplicity 2, and a root of 4 wth multiplicity 3. If the function has a positive coefficient and is of odd degree, Which statement about the graph is true?
answer correctly!!!!
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
Write the equation of the line in point-slope, slope-intercept, and standard form.
38. Line passing through points (-4, 2) and (0,3)
write a paragraph about what the Hawthorne Studies tells us about workers and what happens when they are being observed and why that is important
Answer:
is important because yo understand more with paragraph
Step-by-step explanation:
i need help asap what is 12g + 9g
Answer:
21 g
Step-by-step explanation:
you add 12g by 9g and you get 21g
Answer:21g
Step-by-step explanation: The answer is 21g
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
Given f(x) = -8 + 1, find f(5)
Answer:
im guessing its actually -8x +1, so
-8 (5) +1
-40 +1
-39
Figure out the probability below (ONLY REAL ANSWERS PLEASE)
Answer:
2/35
Step-by-step explanation:
fifteen total, 4 live in Gaston
so
4/15 times 3/14
because there is only 14 left to be selected and 3 left in Gaston
so 0.05714285714
or 2/35
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
Solve for x. Round to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
30^2+15^2=1314
square root of 1314 is equal to 36.249
rounded to nearest tenth: 36.2
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
Jenny puts 8 stickers on each page of her notebook she uses 72 stickers in. which equation can be used to find the number of pages of stickers in Jennys notebook
A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.
Answer:
48 minutes
Step-by-step explanation:
2h = 110 miles
1h = 110 ÷ 2
= 55 miles
Therefore, the speed of the entire journey is 55 miles per hour.
1h = 60 minutes
55 miles = 1h
55 miles = 60 minutes
44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes
= 48 minutes
Wendy stops running
A.Speed
B.Velocity
C.Acceleration
Answer:
i think is c tell me if im right
What would this question look like after we change the mixed number to improper & use KCF to rewrite the question?
h) 3 1/2 divided by 1/3 =
A) 7/2 x 1/3
B) 7/2 x 3/1
C) 6/2 x 1/3
D) 7x3
Hurry !!
Answer:
The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to change the mixed number to improper & use KCF to rewrite the question.
The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]
First converting mixed fraction into improper fraction
Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2
Solving:
[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]
Using KCF
KCF stands fro Keep it, Change it, Flip it.
It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)
So, our expression will be
[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]
So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
PLS HELP!!! I am gonna fail
Answer:
Help with what? You didn't post anything.
Step-by-step explanation:
Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior
Answer:
they are alternate interior angles my guy.
We can conclude from the figure that angles 2 and 3 are same side interior
Trigonometry identityFrom the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.
The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior anglesFrom the diagram, we can conclude that angles 2 and 3 are same side interior
Learn more on interior angles here; https://brainly.com/question/7888180
Will mark Brainliest
Which conic section is represented by the following equation?
5x^2-x+5y^2 – 3y + 4 = 0
circle
ellipse
parabola
hyperbola
Answer:
I believe its hyperbola
Answer:
ellipse
Step-by-step explanation:
just got it right on edg ^u^
Susan is buying juice for a party. She wants to buy as many bottles of juice as possible, but she only has $10.00 to spend. If each bottle of juice costs $1.35, how can Susan calculate the number of bottles that she can buy?
A.Divide $10.00 by $1.35, and round the quotient down to the nearest whole number.
B.Divide $10.00 by $1.35, and round the quotient up to the nearest whole number.
C.Divide $1.35 by $10.00, and round the quotient down to the nearest whole number.
D.Subtract $1.35 from $10.00, and round the difference down to the nearest whole number.
GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer