A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
I need help putting this into simplest form.
Answer:
1/x^2-2x-8
Step-by-step explanation:
Which expression equals sixty? 6 × (3 + 7) 6 × 3 + 7 6 + 7 × 3 19 - (5 + 5) × 7
______________________________
1.) Solve each expression:a.) [tex]6[/tex] × [tex](3+7)=60[/tex]
b.) [tex]6[/tex] × [tex]3+7=25[/tex]
c.) [tex]6+7[/tex] × [tex]3=27[/tex]
d.) [tex]19-(5+5)[/tex] × [tex]7=-51[/tex]
______________________________
ISABELRAINBOW PLEASE ANSWER BOTH THESE
BAHAHA I SAW MY NAME AND GOT SO SCARED
1st problem: 6/y^4
first, we express it with positive exponents.
6 x 1/y^4
then, we just calculate it.
6/y^4
2nd problem: (1/64)a^7 (the a^7 isn't just on the bottom part, it goes in the front of the fraction)
first, i expressed it with a positive exponent.
1/8^2 x a^7
then, i evaluated that.
(1/64)a^7
2
3
15
Is the unknown value in 3
15
the same as the unknown value in z
Part 1 out of 2
The unknown value in both ratios ?
the same.
Check
Next
6467 ytgychuuht6ctctcrxrctfctcyg
Daniel and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Daniel sold 5 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $74. Lisa sold 1 roll of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $58. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper
Answer:
P = 4 & H = 18
Step-by-step explanation:
Daniel : 5 plain paper + 3 holiday paper = 74, 5P + 3H = 74 . Lisa : 1 plain paper + 3 holiday paper = 58, P + 3H = 58 . Solving two equations, P = 4 & H = 18
Natasha, Peter and Malachy share £56 in a ratio 1:1:2. How much money does each person get?
Natasha:
£
Peter:
£
Malachy:
£
Answer:
Natasha £14
Peter £14
Malachy £28
Step-by-step explanation:
Add 1+1+2=4
56/4=14
Multiple each ratio by 14 check by adding up and see if its the beginning total figure!
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
Can someone help me?
So can someone just help me solve this and tell me which terms belong together....ty-
El 1% de las videocámaras vendidas por la Phil´s Photo Shop, tiene un defecto en su estuche. Se seleccionan al azar cuatro estuches de lo vendido recientemente. Encuentre la probabilidad de que exactamente uno esté defectuoso
9514 1404 393
Answer:
3.88%
Step-by-step explanation:
The probability that 1 is defective and 3 are not (out of four) is ...
P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%
__
The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.
I need help with these 2.
is it Min or Max
help me pls
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
solve for y. will give brainiest
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
please help me i need to turn in assignment!!!!! i will mark the answer brainliest. plz be descriptive!!!
Answer: D. 150
Step-by-step explanation:
Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.
Consider [tex]3(3x-10)=5(x+10)[/tex]
[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]
Now, perimeter of pentagon = 5(x+10) = 5 (20+10)
= 5(30) = 150
Hence, option D is correct.
Please help due ASAP .....
Answer:
y = 4x - 9
Step-by-step explanation:
Same slope, so they're parallel
please help me . need your help .
Answer:
23.3 cm
Step-by-step explanation:
use Pythagoras Theorem
length BD= 16²+10²= 356
√356= 18.9 cm
length DH= 30²-18.9²= 542.8
√542.8= 23.3 cm
DH=AE
Hence, AE= 23.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, i will follow u back
Answer: yes
Step-by-step explanation:
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation correctly to show about how much money the team spent?
Answer:
$416
Step-by-step explanation:
From the above question,
Total number did people in a team = 13 girls
Uniform of each member of team = $32
The amount of money the team spent can be calculated as:
$32 × x
Where x = Number of people on the team = 13
The amount spent = $32 × 13
= $416
The amount the team spent is $416
(I BEG U TUTORS HELP) the value if x=9 a solution to the system of equations shown below. Where b is some unknown constant. Determine the value of b. Show how you arrived at your answer
y=2x-20
y= -5x+b
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and thet continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour. What is the rate in kilograms per hour at which they walked to school
Answer:
4 km/hr
Step-by-step explanation:
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and they continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour.
Let
the rate of the speed at which they walked to school be represented by r
Distance to school for Sasha = Distance to school for Hannah
Distance = Speed (rate × time)
Hence:
0.6r = 0.45r + 0.6
Collect like terms
0.6r - 0.45r = 0.6
0.15r = 0.6
r = 0.6/0.15
r = 4 km/hr
The rate in Kilometer per hour at which they walked to school is 4km/hr
The two polygons are similar. Find measure of angle C
Answer: the answer is 48
Step-by-step explanation:
2^46 is how many times as many as 2^42?
Answer:
16 times as many
Step-by-step explanation:
2^46 = 70368744177664 2^42 = 4398046511104 70368744177664/4398046511104 = 16
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
5(4x-10)+10x = 4(2x-3)+ 2(x-4)? is equal to - 7/4 or - 1/4 or 3/20 or 3/2 ?
Answer:
x is equal to 3/2
Step-by-step explanation:
Let's solve it!
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
expand:
20x - 50 + 10x = 8x - 12 + 2x - 8
group like terms:
30x - 50 = 10x - 20
factor out common multiples:
3x - 5 = x - 2
group terms again:
3x - x = -2 + 5
2x = 3
and divide both sides by two:
x = 3/2
Jerry is getting ballons for his fathers bday party if he wants each ballon string to be 9 feet long if it is sold by the yard and jerry wants 63 ballons how much yards of string will he bneed
Answer:
567
Step-by-step explanation:
63 x 9
What is the slope of the line that passes through the points (-3, 4) and (5, -2)?
Answer:
m = 0 , this is a horizontal line, y = 5
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-3,5),
(-4,5) m = 0/1 = 0
m=y2-y1/x2-x1
m = 0 , this is a horizontal line, y = 5
Hopefully that helps!!!!!
HELP PLSSSSSS as soon as possible!
Answer:
Step-by-step explanation:
how do you solve this using the substitution method?
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
What is the equation of a line with Point A(0, 4) and Point B(2,-6) ?
9514 1404 393
Answer:
y = -5x +4
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-6 -4)/(2 -0) = -10/2 = -5
The point (0, 4) tells you the y-intercept is b = 4. So, the equation in slope-intercept form is ...
y = mx +b . . . . . where m is slope and b is y-intercept
y = -5x +4
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Answer:
About 48
Step-by-step explanation:
If the first two are 66 then you would add 66 + 66 to get 132 then you subtract 180 - 132 which gets you to 48.
Hope this helps :D