Given:
The function is:
[tex]C(t)=10(1.029)^{24t}[/tex]
Where, C(t) is the total number of cells after t hours.
To find:
The function that is approximately equivalent to C(t).
Solution:
We have,
[tex]C(t)=10(1.029)^{24t}[/tex]
It can be rewritten as:
[tex]C(t)=10(1.029^{24})^{t}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]C(t)\approx 10(1.986)^{t}[/tex] [tex][\because 1.029^{24}\approx 1.986][/tex]
The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).
Therefore, the correct option is 3.
Answer:
c
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answer:
c) similar by the AA rule
the graph shows the function y=3x-1. What are the cordinates of intercepts
Answer:
[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]
Directions: Write the following numbers in their expanded form to show
their place values
_+_+
Answer:
2000, 100, 30, 4
4000, 800, 0, 4
Are the expressions (−2)4 (−4)2 equal? Explain your answer.
Answer:
no
Step-by-step explanation:
what is the quotient of y and 11
Answer:
y ÷ 6 = 11
pls give me brainliest
In January Todd was able to lift 127 1/2 lb. In February he could lift 135 lb, and in March he could lift 142 1/2 lb. If he continues at this rate what will Todd be able to lift in July?
Answer:
172 1/2 lb
Step-by-step explanation:
Determine the rate of change per month = lifts lifted in march - lift lifted in February
142 1/2 - 135 = 7 1/2
Determine the number of months from march to July = 4
increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb
weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2
HELP OMG!! 5+2x twice a number more than 5 ??!!
Answer:
5+2(6)
5+12 = 17
Step-by-step explanation:
Hope this is what you were talking about.
no link! Just pls answer
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ A. 120cm ^3
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
3769.91
PS: it is probably wrong!
find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)
Answer:
p = -4 q = 2
Step-by-step explanation:
Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].hope my explanation is understandable lol
Simplify the following using BODMAS
3p + [5 − (2p + 7q)]
Answer:
So frist thing is frist, since we are using the BODMAS. We should start with the numbers in the brackets, simplify the small bracket frist.
3p + [ 5 - (2p + 7q)]
= 3p + (5 - 2p - 7q)
= 3p - 2p - 7q + 5
= p - 7q + 5
through: (-5, 4), slope =-3/5
Answer:
y - 4 = (-3/5)(x + 5)
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h)
Here, y - 4 = (-3/5)(x + 5)
need help!!!!!!!! thanks :)
Answer:
10,000
Step-by-step explanation:
Down by 3,000
Year 5 it'd be 13,000
Year 6 it'd be 10,000
Classify the quadrilateral. A. square B. rhombus C. trapezoid D. rectangle also how do you add a picture
Answer:
Hello! Your answer would be, A) Square
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
HELLLLLLPPPPPPPPPPPPP
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box
Answer:
m∠A = 116°
Step-by-step explanation:
For better understanding of the solution, see the attached figure of the problem :
The quadrilateral ABCD is inscribed in a circle, Thus the quadrilateral ABCD is a cyclic quadrilateral.
Also, Sum of opposite angles of a cyclic quadrilateral is supplementary.
Now, m∠A = (x - 36)°, m∠B = 28° and m∠D = x°
But, since the sum of opposite angles is 180°
⇒ 28° + x° = 180°
⇒ x = 180 - 28
⇒ x = 152
So, m∠A = (x - 36)°
⇒ m∠A = (152 - 36)°
⇒ m∠A = 116°
What percent's falls between 0.5 and 0.6
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
Please help. What is the answer!?
Answer:
4/19
Step-by-step explanation:
because, in the sequence they are subtracting 3 in each one it goes so, first it was 16-3= 13, 13-3= 10, and so on. Hope I helped :3
PART A: Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions.
Answer:
x -3
Step-by-step explanation:
***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
Latasha and Hercules are collecting drones in a ratio of 5:10. If they collected 270 drones altogether, how many drones did Latasha
collect?
Answer:134 if they both collected half of the drone's
Step-by-step explanation:
270%2=134
hii please help i’ll give brainliest
Which exponential expression is equivalent to the one below? (6x3)^5
Answer:
Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
Mr. Liáng made a circular tablecloth to cover the top of a table. If the diameter of the tablecloth measures 50 inches, which measurement is closest to the area of the tablecloth? F 625 in.2 H 3,140 in.? G 1,900 in.? J 7,500 in.2 OF
Answer:
F. 625
Step-by-step explanation:
625 times 2
= 1256
round it to
= 1250
Hope this Helps
Have a nice day
Any helpers? Will give brainliest!!
Answer:
POSITIVE
Step-by-step explanation:
GOT THAT TEST WHEN I WAS 14
how do i figure out this equation 3(x+4)=-3
Ms.Poppy has finished grading her student's tests. The scores were the following: 51, 55, 55, 62, 65, 72, 76, 78, 79, 82, 83, 85, 91, and 93
find the meadian
find the mean
Answer:
Meadian: 77
Mean: 73
Step-by-step explanation:
Your challenge . . . Part 1: Your math class is celebrating McNugget Monday and needs to order 531 Chicken McNuggets. If they are sold in packages of 4, 6, 9 and 20, determine TWO possible ways that 531 Chicken McNuggets can be ordered. Be sure to verify your answer.
Part 2: If McDonalds stop making the 6 pack, is there a largest number of Chicken McNuggets that cannot be purchased? If so, what is the number? If not, explain why not?
Answer:
You can get 25 packs of 20 and 3 packs of 9 and 1 4 piece.
OR
59 packs of 9 pieces
PART 2-
No because you can still get a 9 piece and 20 piece.
Step-by-step explanation:
Answer:
24 packs of 20=480
3 packs of 9=27
2 packs of 6=12
3 packs of 4=12
480+27+12+12=531
22 packs of 20=440
8 packs of 9=81
1 pack of 6=6
1 pack of 4=4
440+81+6+4=531
Step-by-step explanation:
Candice drives a total of 48 miles each day to work and get back home. She works five days a week. Her car gets 21 miles per gallon of gas. About how many gallons of gas does she need to drive to work and back home each week
Answer:
Total gallon of fuel used = [tex]11.428[/tex] gallons
Step-by-step explanation:
Given -
The total distance travelled by car in one gallon of gas = 21 miles
Total distance travelled each day = 48 miles
Number of days days in a week in which Candice drive is 5 days
Total miles travelled per week = [tex]48*5[/tex] = 240 miles
Total gallon of fuel used = [tex]\frac{240}{21} = 11.428[/tex] gallons
I need help with this question.?
Answer:
D
Step-by-step explanation:
just did it
Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks
Answer:
14.4 miles
Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4