Answer:
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]F(t) = F(0)(1+r)^{t}[/tex]
In which F(0) is the initial value and F is the growth rate.
A bacteria with an initial size of 180in2 grows by 27% every minute.
This means that [tex]F(0) = 180, r = 0.27[/tex]. So
[tex]F(t) = F(0)(1+r)^{t}[/tex]
[tex]F(t) = 180(1+0.27)^{t}[/tex]
[tex]F(t) = 180(1.27)^{t}[/tex]
In which t is measured in minutes,
What will the size of the bacteria be after 8hours
8 hours has 8*60 = 480 minutes, so this is F(480).
[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
1. Evaluate each expression:
a. −12•13
b. −12•−13
c. 12•(−54)
d. −12•(−54)
Answer:
a. −12•13= -156
b. −12•−13= 156
c. 12•(−54) = -648
d. −12•(−54) = 648
Step-by-step explanation:
a and c have negative
b and d have positive
hope this helps ;)
Answer:
....
Step-by-step explanation:
find the area of a square plot of side 12 cm
Answer:
area of a square
= side × side
= 12 × 12
=144cm^2
Does anyone know this?
Answer:
9.4 m/s
Step-by-step explanation:
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
Tonya drove 343 miles the first day of her trip. how many days will it take her to drive the remaining 1,200 miles if she continues at the same rate?
Answer:
3.5 days
Step-by-step explanation:
Given
[tex]Day\ 1 = 343\ miles[/tex]
Required
Number of days to drive 1200 miles
Represent as ratio:
[tex]Day\ 1 = 343\ miles[/tex]
[tex]Ratio = 1 : 343[/tex]
For 1200 miles
[tex]Ratio = x : 1200[/tex]
Equate both ratios
[tex]x : 1200 = 1 : 343[/tex]
Express as fractions
[tex]x/1200 = 1/343[/tex]
Multiply by 120
[tex]x/1200 *1200= 1/343*1200[/tex]
[tex]x= 3.4985[/tex]
[tex]x= 3.5[/tex] --- approximated
help please, i would appreciate
Answer:
592.83 ft^2
Step-by-step explanation:
First estimate the area of the rectangle:
Area rectangle = Base x Height = 20 * 36 = 720 ft^2
and then subtract from it the area of a semi-circle of radius 18/2 = 9 ft
Using the formula for the semicircle's area:
Semi-circle's area= pi * R^2 / 2 = 3.14 * 9^2 / 2 = 127.17 ft^2
Such gives us:
720 ft^2 - 127.17 ft^2 = 592.83 ft^2
4) Steven walked 3 kilometers,
How far did Steven walk in
meters?
If 8 spiders can spin 24 webs in 6 days, how many days will it take 12 spiders to spin 18 webs?
Answer:
3 daysStep-by-step explanation:
See the steps below, one ratio - one pair of numbers changes at a time.
spiders webs days
8 24 6 8 4 1 ⇒ Divide by 6 2 1 1 ⇒ Divide by 4 12 6 1 ⇒ Multiply by 6 12 18 3 ⇒ Multiply by 3PLZ HELP!! NEED QUICKLY!!
Fill In The Blanks!!
Answer:
Step-by-step explanation:
Statement Solution
1. AB = CB Definition of isosceles triangle
2: AD = DC BD is the median to base AC
3. BD = BD Reflexive property
4. ΔADB ≅ ΔADC Side Side Side Congruent
Algebra roller coaster building it most state from the ground and it have to be 100ft
Answer:
sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer
I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many
SHOW work
5.3 divided by 0.25 = ?
Answer:
5.3 divided by 0.25 is 21.2
Sorry, Loves.
But I can't really type my work-
I'm on a chrome book so I don't have a camera.
A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
Halla 2 enteros cuyo producto sea 210 y uno de los enteros debe ser uno menos que el doble del otro
Slope is
1
2
y-intercept is 7
Asapppp. Hurrryyyy
Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Shandra purchased a membership to this pizza shop. How much would Shandra have to pay the pizza shop if she bought 5 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answer:
Shandra would pay $27.50 for 5 slices
Cost = 20+1.50x
Step-by-step explanation:
Given
[tex]Membership = \$20[/tex]
[tex]Discounted\ Price = \$1.50[/tex] per slice
Solving (a): Cost of 5 slices
Represent the total price with y and the number of slice with x.
So, we have:
[tex]y = Membership + Discounted\ Price * x[/tex]
This gives:
[tex]y = 20+ 1.50* x[/tex]
In this case: x = 5.
So, we have:
[tex]y = 20+ 1.50* 5[/tex]
[tex]y = 20+ 7.50[/tex]
[tex]y = 27.50[/tex]
Shandra would pay $27.50 for 5 slices
Solving (b): Cost of x slices
This has been solved in (a).
[tex]y = 20+ 1.50* x[/tex]
[tex]y = 20+1.50x[/tex]
Hence, the cost of x slices is 20+1.50x
somone answer this question PLEASE
Answer:
[tex] \huge x > 3[/tex]hope this helps
Answer:
x>3
Step-by-step explanation:
thats the answer.......
4(8+y)=96 I need this answer if anyone knows it let me know
Answer:
y = 16
Step-by-step explanation:
Given
4(8 + y) = 96 ( divide both sides by 4 )
8 + y = 24 ( subtract 8 from both sides )
y = 16
Answer:
y = 16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(8+y)-(96)=0
4 • (y + 8) - 96 = 0
Pull out like factors :
4y - 64 = 4 • (y - 16)
4 • (y - 16) = 0
Solve : 4 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve : y - 16 = 0
Add 16 to both sides of the equation :
y = 16
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB
Answer:
Step-by-step explanation:
I will assume that the scale factor is 2.5
A'(-5,2.5) True
AB || A'B' True
?? What does ABAB" mean?
A'B' is an enlargement of AB True
ILL GIVE BRAINLEST !!!!
Enter an equation for the function that includes the points. Give your answer in the form a(b*). In the
event that a = 1, give your answer in the form b*.
(1, 12) and (2, 144)
The equation is f(x)=
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that none of the graduates have a summer job
Answer:
[tex]0.0467[/tex] is the probability that none of the graduates have a summer job
Step-by-step explanation:
Here
P [tex]= 0.40[/tex] and n [tex]= 6[/tex]
Probability that none of the graduate gets job
this means that x = 0
P (x = 0) [tex]= ^6C_0 * (0.40)^0 * (0.60)^6[/tex]
P (x = 0) [tex]= 0.0467[/tex]
Which point shows the maximum speed of the car?
Answer:
H
i think
Step-by-step explanation:
A solar heating device can recharge (store heat) in a single sunny day enough to provide for the next two days. In other words, the only times that the solar heat must be augmented by some other heat source is when there are three or more consecutive cloudy days. During the heating season, a period of 120 days, the weather patterns are described by the following Markov chain:
Sunny Cloudy
Suuny 1/2 1/2
Cloudy 1/3 1/3
Using this information, construct another Markov chain which is capable of indicating when the solar heat must be augmented. Hint: Think carefully about your state definition.
Answer:
Step-by-step explanation:
Suppose the number of days is represented with the states(S) provided that a sunny day, with a maximum of three.
i.e.
S = (0, 1, 2, 3)
It implies that; if we assume that [tex]X_n=2[/tex], what this means is that today appears cloudy, then yesterday was cloudly as well while the day before yesterday was sunny.
Constructing a one-step probability transition matrix;
[tex]P = \left\begin{array}{cccc}0\\1\\2\\ 3 \end{array}\right \left[\begin{array}{cccc}1/2&1/2&0 &0\\1/3&0&2/3&0\\1/3&0&0&2/3\\ 1/3 &0&0&2/3\\\end{array}\right][/tex]
Can someone please write the equation for this?
Answer:
y = 2[tex]\sqrt{x}[/tex] - 3
Step-by-step explanation:
Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the following explains about how much farther Tim rode his bike this year than last year? A. About 200 times farther; Subtract last year's distance from this year's distance to get 208 3/8.
Then round to the nearest hundred to get 200.
B. About 50 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 50 to see that 259 is close to 50 × 5.
C. About 10 times farther; 258 is about 5 times 50, and 34 is 2 times 38, so multiply 5 × 2 to get 10.
D. About 5 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 5 to see that 259 is close to 50 × 5.
Answer:
D
Step-by-step explanation:
Four- fifths of the 7th-grade students completed a race. What percent of the 7th-grade students completed the race.
Answer:
4/5????
Was it supposed to tell you the answer
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
4 divided by 5 is .8
Then multiply it by 10
.8 x 10 = 80
Order these fractions from least to greatest.
3/8, 2/8 , 4/8
If 3/4 of the class likes soda and 3/5 of those who like soda prefer Coke, what PERCENT of the whole class that likes Coke?
Answer:
For soda =3/4
For coke= 3/5 X 3/4=9/20
Whole class is 1....
Therefore X% of 1 =9/20
Solving :
X/100 X 1 =9/20
X/100=9/20
20X =900
X= 900/20 = 45%
Khan Ana
Writing expressions v
Write an expression to represent:
Three minus the product of two and a number x
Answer:
Step-by-step explanation:
the expression is 3-(2x)
Please complete this question, the question is saying: write the correct integer in the blank
Is due please. I will give brainlest
Darnell's team scored 40 points at the game. Darnell scored 15% of the team's points. How many points did Darnell score?
Answer:
Darnel scored 6 points
Step-by-step explanation:
15% of 40 can be written as 40 * 0.15 which is 6. Darnell scored 6 points.
In right triangle ABC shown below, the midpoint of hypotenuse AC is located at D and segment BD is drawn.
AB = 12 and BC =16, then explain why BD=10. Hint: consider what you know about the diagonals of a
rectangle.
9514 1404 393
Answer:
diagonal AC is 20, so all half-diagonals are 10. BD is one such.
Step-by-step explanation:
The length of hypotenuse AC is given by the Pythagorean theorem:
AC² = AB² + BC²
AC² = 12² +16² = 400
AC = √400 = 20
The midpoint of AC is 10 units from A and from C.
Consider point E that finishes rectangle ABCE. Then diagonals BE and AC meet at their midpoints, D. The diagonals of a rectangle are the same length, so the four half-diagonals are congruent:
AD = CD = ED = BD = 10
_____
Alternate solution
The "rise" from BC to D is half of AB, so is 6.
The "run" from AB to D is half of BC, so is 8.
The Pythagorean theorem tells you BD = √(6² +8²) = 10.