A bacteria culture initially contains 2000 bacteria and doubles every half hour.
Find the size of the baterial population after 60 minutes.
Find the size of the baterial population after 7 hours.
Answer:
Can be found below
Step-by-step explanation:
Part A:
So we know that the bacteria doubles every (30) minutes.
2000 times 2 equals 4000 (30 minutes)
4000 times 2 equals 8000 (1 hour)
Answer for Part A:
8000 bacteria
Part B:
Now we do this function 2000(2)^14 (30 minutes long)
Answer to Part B:
I believe the answer is 32,768,000 (Please correct me if I'm wrong)
Hope I could help!! Have a great day/night!
Any constructional messages are greatly appreciated!!
How do you write the expression 18x+30y
Answer:
6(3x+5y)
..................
if there are 7 girls and three boys in the class, what percent of the class is boys ?
Answer:
30% 10 people 3 of 10 is 30%
Step-by-step explanation:
PLEASE HELP HEHE!!!!
A bag contains 3 red balls, 8 blue balls and 11 white balls. What is the probability of drawing two balls after replacing the first ball; first is red and then a white ball? Round to the nearest tenth and include a percent sign
Answer:
0.1Step-by-step explanation:
Probability = expected outcome/total outcome
If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;
Total outcome = 3 + 8 + 11 = 22 balls
Since we are drawing two balls with replacement;
Probability of drawing red ball = number of red/total outcome = 3/22
Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2
Probability of drawing red first and then white = 3/22 * 1/2
Probability of drawing red first and then white = 3/44
To the nearest tenth, 3/44= 0.1
In percent = 6.8%
(V+5)(-1/9)=6 how do u solve this
Answer:
v= -59
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : (v+5)*(-1/9)-(6)=0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(v+5)*(-1/9)-(6)=0
Step by step solution :
STEP
1
:
1
Simplify —
9
Equation at the end of step
1
:
1
((v + 5) • (0 - —)) - 6 = 0
9
STEP
2
:
Equation at the end of step 2
(-v - 5)
———————— - 6 = 0
9
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 9 as the denominator :
6 6 • 9
6 = — = —————
1 9
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-v - 5 = -1 • (v + 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(-v-5) - (6 • 9) -v - 59
———————————————— = ———————
9 9
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
-v - 59 = -1 • (v + 59)
Equation at the end of step
5
:
-v - 59
——————— = 0
9
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-v-59
————— • 9 = 0 • 9
9
Now, on the left hand side, the 9 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-v-59 = 0
Solving a Single Variable Equation:
6.2 Solve : -v-59 = 0
Add 59 to both sides of the equation :
-v = 59
Multiply both sides of the equation by (-1) : v = -59
What is the percent of increase from 6 to 9? Write your answer using a percent sign (%)
Answer:
The percent of increase from 6 to 9 is 50%
Step-by-step explanation:
Percentages
To calculate the percentage increase:
Work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Divide the increase by the original number and multiply the answer by 100.
We are required to find the percent increase from 6 to 9. Here: New number=9, Original number = 6
Increase = 9 - 6 = 3
Divide 3 by 6 and multiply the answer by 100:
3 / 6 * 100 = 50%
The percent of increase from 6 to 9 is 50%
The percent of increase from the number 6 to 9 is 50 percent.
The given numbers are 6 and 9.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The difference of the given numbers
= 9-6
= 3
The percent of increase = 3/6 ×100
= 0.5×100
= 50%
Therefore, the percent of increase from the number 6 to 9 is 50 percent.
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the figure is used as part of a visual description of an algebraic statement. Which of the following can be that algebraic statement?
A.a^2 +b^2=c^2
B.1/2 (a+b) =c
C.a•b=c
D.a^2•b^2=c^2
Answer: A.
Step-by-step explanation:
The correct algebraic statement is [tex]a^{2} +b^{2} =c^{2}[/tex].
Pythagoras Theorem:It states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.
[tex]a^{2} +b^{2} =c^{2}[/tex]
According to the given question
By Pythagoras theorem we can say that the algebraic statement A i.e.[tex]a^{2} +b^{2} =c^{2}[/tex] is the correct one for the description of given figure.
Hence, option A i.e. [tex]a^{2} +b^{2} =c^{2}[/tex] is the correct option.
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What is the step by step process of adding and subtracting matrices
Write an equivalent expression by combining like terms.
3a + 5a
Answer:
8a
Step-by-step explanation:
Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day.
Determine whether each option below would result in any part of the picnic table being shaded by the umbrella at mid-
day. Explain how you know.
• Option A: Rotate the picnic table 90° clockwise about the point (5, 0).
Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
• Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Enter your answers and explanations in the space provided
Answer:
Option CStep-by-step explanation:
Refer to attached picture
At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.
So the options:
Option A: Rotate the picnic table 90° clockwise about the point (5, 0)
No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
No. The movement will bring the umbrella down by one feet and no intersections.Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct optionSteven’s new cell phone plan charges a flat monthly fee of $24. The plan allows an unlimited number of text messages, but each minute (m) used for phone calls costs $0.15.
I need this ASAP
And also I need to show my work
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.
Bauer paid the admission for himself and two friends at Open Skate Night. Bauer had a membership card, but his friends did not. He paid with a $20 bill. How much change should Bauer receive?
Answer:
Step-by-step explanation:
$3.75 (Bauer) + 5*2 (2 friends) = $13.75
20 - 13.75 = $6.25 in change
Timeless shopping he bought 35 apples that was 50% of what was on the Shelf how many apples were on the Shelf
WILL GIVE BRAINLYIST HELP
Answer:
70 apples were on the shelf
Step-by-step explanation:
I'm pretty sure this is the answer because
50%= 1/2
So half of the amount of apples on the shelf would be 35
So just add 35+35=70
Pretty sure that is the answer sorry if its not!
(ASAP!!)Two base angles of an isosceles triangle measure (3x + 2) and (5x - 30) degrees. How many degrees are in the third angle of the triangle? Be sure to use the correct place value.
Answer:
Measure of third angle = 80°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of the equal sides of an isosceles triangle are equal in measure.
Since, base angles of an isosceles triangle are equal,
(3x + 2) = (5x - 30)
5x - 3x = 2 + 30
2x = 32
x = 16
Now measure of the base angles will be = (3×16) + 2 = 50°
Let the measure of third angle = y°
Since, sum of interior angles of a triangle = 180°
50° + 50° + y° = 180°
y + 100 = 180
y = 80°
Therefore, measure of third angle is 80°.
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:15840
Answer:
1750 have a good day
Step-by-step explanation:
when we multiply and divide we ____ the negative numbers (integers)
Answer:
I think its supliment but I took this class a long time ago so don't quote me on that
Step-by-step explanation:
Ashton bought DVD at the price of $20. If he also paid 8.5% sales tax, which is closest to the total amount that Ashton paid for the DVD with tax?
A. $1.70
B. $16.95
C. $21.00
D. $21.70
Answer:
A
Step-by-step explanation:
Answer:
A. $ 1.70
Step-by-step explanation:
Find the length of "C" using the Pythagorean Theorem. 14 48
Answer:
50
Step-by-step explanation:
the formula for Pythagorean theorem is A^2+B^2=C^2
14 squared is 196 48 squared is 2304 add them together u get 2500 and u have u get the sqrt of 2500 which is 50.
exact number 6x7,381
Answer:
6 X 7,381 is 44,286
Step-by-step explanation:
The next number in the sequence 3, 7, 12, 18, 25, 33, 42
Answer:
You add 4 and add 5 and then add 6 you add 1 more extra every time!
Step-by-step explanation:
The next number in the sequence is 52. The extended sequence becomes: 3, 7, 12, 18, 25, 33, 42, 52.
To find the pattern in the sequence and determine the next number, let's look at the differences between consecutive terms:
7 - 3 = 4
12 - 7 = 5
18 - 12 = 6
25 - 18 = 7
33 - 25 = 8
42 - 33 = 9
The differences between consecutive terms are increasing by 1: 4, 5, 6, 7, 8, 9. Now, to find the next number in the sequence, we continue the pattern by adding the next number in the sequence of differences: The last difference was 9, so the next difference will be 9 + 1 = 10.
Now, add this difference to the last number in the given sequence:
42 + 10 = 52.
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What is the value of 3/5 divided by 2/3
Answer:
[tex]0.9[/tex] [tex]or[/tex] [tex]\frac{9}{10}[/tex]Step-by-step explanation:
[tex]\frac{3}{5}[/tex] = [tex]0.6[/tex] [tex]or[/tex] [tex]\frac{6}{10}[/tex]
[tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{4}{6}[/tex]
[tex]Therefore,[/tex] [tex]\frac{3}{5}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{10}[/tex] [tex]or[/tex] [tex]0.9[/tex]
Hope this helps! <3
If in 7 minutes Carlos gets $200 for cleaning and Juli gets $97 in 1 minute who gets more if they work for 1 hour
Answer:
Juli
Step-by-step explanation:
an hour has 60 periods of one minute so its 60 x $97 = $5820
an hour has 60/7 periods of 7 minutes so 60/7 x $200 = $1714.29
HELP PLEASE 25 POINTS CALC
ANSWER
[tex] 18\pi\: cm^3/s[/tex]
STEP-BY-STEP EXPLANATION:
[tex] V= \frac {4}{3}\pi r^3\\\\
[/tex]
Differentiating with respect to t on both sides:
[tex] \frac{dV}{dt} = \frac {4}{3}\pi\times 3r^2\frac{dr}{dt} \\\\
\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} .. (1)\\\\
Plug \:\frac{dr}{dt} = \frac{1}{2}\:\: \& \: \: r = 3\: in \: equation \: (1)\\\\
\frac{dV}{dt} =4\pi (3)^2\times \frac{1}{2}\\\\
\frac{dV}{dt} =4\pi\times 9\times \frac{1}{2}\\\\
\huge \purple {\boxed{\frac{dV}{dt} =18\pi\: cm^3/s}} \\[/tex]
¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ?
Answer:
3 años 4 meses
4 primer año
4 segundo año
4 tercer año pero nos falta 4 meses 4/12 = .33333 esto x 4 los meses = 1.3333
____
13.3333
7200 * .133333= 959.9976 por aproximacion son 960
7200+960 = 8160 Es el monto producido
Opcion C
Martha accumulated $6000 in credit card debt. If the interest rate is 1.45% per year and she does not make any payments for four years how much will she owe on her debt in four years by compounding continuously. Round to the nearest cent.
Answer:
$6,358.29
Step-by-step explanation:
A=?
P=$6,000
r=0.0145
t=4 years
You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the original amount of your gift card?
Answer:
40
Step-by-step explanation:
32+8=40
2.Simplify the following mathematical expression?
a.555+(22+343-(16÷8+3-15)
Answer:
[tex]930[/tex]
Step-by-step explanation:
STEP 1: Remove parentheses.
STEP 2: Simplify each term.
STEP 3: Simplify by adding numbers.
I need help like NEOW! Look at de photo
What is the measurement of the unknown fourth interior angle of this quadrilateral?
A) 104°
B) 114°
C) 119°
D) 124°
The value of the unknown fourth interior angle of the polygon is 114 degrees.
Hence option B)114° is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where n is the number of sides.
Given that the polygon is the diagram has 4 sides, n = 4
Hence
the sum of interior angles of the polygon is;
S = ( n − 2 ) × 180°
S = ( 4 − 2 ) × 180°
S = 2 × 180°
S = 360°
Now, we add the total interior angles in the given polygon and equate to the sum of interior angles of a polygon with 4 sides.
82° + 51° + 113° + x = 360°
246° + x° = 360°
x = 360° - 246°
x = 114°
The value of the unknown fourth interior angle of the polygon is 114 degrees.
Hence option B)114° is the correct answer.
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ABC=XYZ which two statement identify corresponding congruent parts for these triangles
Answer: it’s (4), I took the test too so I know it’s most likely right.
A man traveled at 480 km in 9 hours. He traveled at 45 km/hr
for part of the trip and at 60 km/hr for the remainder of the trip.
How far did he travel while driving at 60 km/hr?
Please help!!!
Answer:
4 hours 45km/hr and 5 hours 60km/hr I believe
Step-by-step explanation:
5 times 60km/hr=300km
4 times 45km/hr=180km
180km+300km=480mm