Answer:
M(t) = 6.7 * 10⁷ (67 million)
Minutes (t) =55
Step-by-step explanation:
1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.
For answering this question, we will use the following formula:
M(t) = B₀ * g ^(t/m), where:
•M(t) represents the total number of bacterial microbes in millions.
• B₀ represents the initial population of bacteria in millions.
• g represents the growth factor.
• t represents the total number of minutes we will observe the bacteria growing.
• m represents the time in minutes it takes to the growth factor g to occur.
2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.
M(t) = B₀ * g ^(t/m)
Replacing with the values we know:
6.7 * 10⁷ = 10⁷ * 2 ^(t/20)
6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)
ln 6.7 = ln 2 ^(t/20)
ln 6.7 = t/20 ln 2
ln 6.7/ ln 2 = t/20
t = ln 6.7/ln 2 * 20
t = 2.74 * 20
t = 54.88
t ≅ 55 (rounding to the nearest minute)
3/4 divided by 1/3 plz I need it
Answer:
0.25
Step-by-step explanation:
How many Square feet of outdoor carpet will we need for this hole? plzz helpp!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
Solve for x. Round to the
nearest tenth.
15
26°
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!
Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?
Answer:
14
Step-by-step explanation:
The required time for Lydia's account to reach $210,100 is 13.9 years.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
First, convert R as a percent to r as a decimal
r = R/100
r = 6.7/100
r = 0.067 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )
t = 13.9 years
Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.
Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ2
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
4a − 3 = 9 + a..........................
Answer:
[tex]4a - 3 = 9 + a \\ 4a - a = 9 + 3 \\ 3a = 12 \\ a = \frac{ 12}{3} \\ a = 4[/tex]
I hope this help
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?
Answer:
The estimate is not correct?
Step-by-step explanation:
Given data
Area of wall = 18*8
=144ft^2
=4*144
=576ft^2
Area of doors
=3*7
=21ft^2
=2*21
=42ft^2
Area of window
=3*5
=15ft^2
Hence the total surface area of the room
=576-42-15
=519ft^2
The amount of paint needed= 519/300= 1.73
Approximately 2 gallons
We are told that 1 gallon will cover 300ft^2
Hence 3 gallons will cover 300*3= 900ft^2
Therefore the painter overestimated the amount of paint needed
As 2 gallons will do the job
James ran 3 kilometers after school. How many meters did James run?
Answer:
3000meters
Step-by-step explanation:
3×1000= 3000
Answer: 3000 Meters
Step-by-step explanation:
There are 1000 meters in a kilometer.
Multiply that by 3 and get 3000
Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.
Given:
Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.
To find:
The edge of a cube whose volume is equal to the volume of the given cuboid.
Solution:
We know that the volume of a cuboid is
[tex]Volume=length\times breadth \times height[/tex]
[tex]V_1=36\times 75 \times 80[/tex]
[tex]V_1=216000[/tex]
The volume of a cube is
[tex]Volume=a^3[/tex]
Where, a is the side length of the cube.
The volume of cube and cuboid are equal. So,
[tex]a^3=216000[/tex]
[tex]a=\sqrt[3]{216000}[/tex]
[tex]a=60[/tex]
Therefore, the measure of edge of the cube is 60 cm.
Please Help! Brainliest Answer! Thank you
Answer:
Step-by-step explanation:
Since WV || XY, V and Y are same side int. angles
same side int angles add up to 180
V+Y=180
subst -> 60+V=180
V=120
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
Simplify.
9y-2y
Hehhe can someone help me
2x + 3 > 13
Whats the answer plz help
Answer:
In this case, you can simply treat the > sign like an = sign. The only time you would need to worry about is when multiplying or dividing by negative numbers.
2x + 3 > 13
2x + 3 - 3 > 13 - 3
2x > 10
2x / 2 > 10 / 2
x > 5
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
Please help, it would be very much appreciated
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
What is the answer for the wuesy
Answer:
22
Step-by-step explanation:
6 divided 6 equals 1 and 1 times 22 equals 22
Brainliest ?
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs
Find the missing angle.
On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
A tank that is 40% full contains 648 gallons of water. How much water is in the tank when the tank is at full capacity (100%)?
Answer: 1620 gallons of water
Step-by-step explanation:
Let the water that is in the tank when the tank is at full capacity be represented by x.
Therefore, 40% of x = 648
40% × x = 648
40/100 × x = 648
0.4 × x = 648
0.4x = 648
x = 648/0.4
x = 1620
The answer is 1620 gallons
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
plz help me with my work
Answer:
the answer is B
Step-by-step explanation:
A student is constructing a triangle with the following dimensions:
side length of 10 inches
side length of 30 inches
Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches
Answer:
JKBUKKJHKK
Step-by-step explanation:
GYHBGKJHUJUGJ
Answer:
The answer would be 19inches, 50 inches.
i dont knw if its right or not,
but i hope this helps u.
Step-by-step explanation:
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55