Step-by-step explanation:
Let’s see … one division every 20 minutes? That would be like <grinding noise> three binary doublings per hour, right? Now for the tough part … three doublings per hour, for eight straight hours? <more grinding noises> … Is that even mathematically possible? After much thinking, I decide that the total number of binary doublings has to be in the neighborhood of no less than eight times three!
Would you believe that 224=16777216 ? While mathematically true, it is not the answer to the posted question… Since we started at 0 minutes, there are only 23 buddings inside eight hours … so the answer has to be 223=8388608 , right?
Wrong again, this time forgetting all about the newlybud bacteria generations, that all go on budding side by side of their ancestors …
Now that you’ve caught on to the basic idea, I leave it to you to figure out the real answer! Keep in mind that after 20 minutes, you have two budding bacteria to reckon with, for 440 minutes … after 40 minutes another two (for 420 minutes), and so on, down the line.
Hint: the answer still is not 16777216 …
Answer:
after 1 division,there is 3 cell
after 2 divisions,there is 9 cell.
after 3 divisions,there is 27 cell
The above data takes the form of Geometric sequence.
3,9,27......,last term
here,Common ratio(r)=9/3=27/9=3
and,first term(a)=3
Let, n be the no.of divisions.
then, n=8 hrs/20 min=480 min/20min=24
Now,from the G.S,
last term=ar^n-1
=3×3^24-1
=9²³
Hence,9²³ organisms will there be after 8 hours
It can be written as 8.86293812×10²¹ as well
*Mark me brainliest
HELPPP ASPPO!!
4x -y=6
-4x +y =8
which statement correctly describes the system of equations
The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .
what is equations ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.
The values of the variables you are solving for will be provided by the coordinate of this point.
The equation system is appropriately described by the formula 4x - y=6.
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N is an integer -1 < n < 4 list the possible values of n
Answer:
0 1 2 3
Step-by-step explanation:
Since n is an integer
We have n = { 0 1 2 3 }
I REALLY NEED HELP!!!! ASAP!!! WORTH 50 POINTS!!!!!!
how much do 10 pieces of candy cost if 1000 pieces cost $40
Can someone help with this? Please be right
Answer:
See attached
Step-by-step explanation:
You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.
g/hThe functions have no common factors, so their ratio leaves the function expressions unchanged:
[tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]
h+gThe like terms are combined when the functions are added.
[tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]
g-hSimilarly, the like terms are combined when the functions are subtracted.
[tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]
g·hThe product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.
[tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]
coefficient: The number in BLANK of the variable within the BLANK BLANK
The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
We know a coefficient is a constant value combined with a variable.
For example, In 7x the coefficient of x is 7.
Given, A fill-in-the-blank statement,
coefficient: The number in BLANK of the variable within the BLANK BLANK.
Therefore,
coefficient: The number in front of the variable within the addition subtraction.
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Compute the MIRR statistic for project I if the appropriate cost of capital is 11 percent.
Cash flow -12,000, 5830, 4680, 2,500
The MIRR statistic for the project I given the cost of capital and the reinvestment rate, is 7. 43 %.
How to find the MIRR statistic ?A monetary indicator of an investment's allure is the modified internal rate of return or MIRR. Ranking equivalent alternative investments is done in capital budgeting.
You can use a spreadsheet to find the MIRR by first ordering the cash flows as shown in the attached image. Then use the = MIRR function.
The cost of capital is the finance charge which is 11 %. The reivestment rate will be the same as the finance charge if not given so it will be 11 % as well.
The MIRR is therefore 7 .43 %.
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Write an equation and solve for x using the diagram
below. Also give the angle measure. YOU MUST
WRITE THE EQUATION IN ORDER TO GET
Answer:
x = 45
Step-by-step explanation:
2x + 6 and 96 are vertically opposite angles and are congruent , then equation is
2x + 6 = 96 ( subtract 6 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
Write each fraction as the sum of a whole number and a fraction less than 1
6/5
11/7
21/4
Given:
The fractions are:
[tex]\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}[/tex]
To find:
The each fraction as the sum of a whole number and a fraction less than 1.
Solution:
The given fraction is [tex]\dfrac{6}{5}[/tex].
[tex]\dfrac{6}{5}=\dfrac{5+1}{5}[/tex]
[tex]\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}[/tex]
[tex]\dfrac{6}{5}=1+\dfrac{1}{5}[/tex]
Therefore, the given fraction [tex]\dfrac{6}{5}[/tex] can be written as [tex]1+\dfrac{1}{5}[/tex].
The given fraction is [tex]\dfrac{11}{7}[/tex].
[tex]\dfrac{11}{7}=\dfrac{7+4}{7}[/tex]
[tex]\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}[/tex]
[tex]\dfrac{11}{7}=1+\dfrac{4}{7}[/tex]
Therefore, the given fraction [tex]\dfrac{11}{7}[/tex] can be written as [tex]1+\dfrac{4}{7}[/tex].
The given fraction is [tex]\dfrac{21}{4}[/tex].
[tex]\dfrac{21}{4}=\dfrac{20+1}{4}[/tex]
[tex]\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}[/tex]
[tex]\dfrac{21}{4}=5+\dfrac{1}{4}[/tex]
Therefore, the given fraction [tex]\dfrac{21}{4}[/tex] can be written as [tex]5+\dfrac{1}{4}[/tex].
Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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The residual value of the car is estimated to be $13,650. The lease has no termination fees or charges. If you decide to purchase, your bank requires a down payment of $3,800 and will finance the balance with a 10.25% APR loan for 36 months. The sales tax in your state is 6.5%, and the tag and title charges are $75. The opportunity cost is the interest your down payment could have earned if you didn’t purchase the vehicle. Currently, your money earns 4.5% in a savings account.
The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard
deviation of 5 points.
About what percent of students have scored less than 45 points?
0.15
2.5
15.5
34
Answer:
0.135%
Step-by-step explanation:
Given :
Mean, m = 60
Standard deviation, σ = 5
x = 45
The Zscore = (x - m) / σ
Z = (45 - 60) / 5 = - 15 / 5 = - 3
P(Z < - 3) = 0.0013499
0.0013499 * 100%
= 0.13499%
Only about 0.135% scored below 45
Find the value of x that will make A||B
Answer:
the value of x that will make A||B is 4
What is the domain of the function y equals the square root of x plus 4
Answer:
The domain is the set of numbers that the x value can be.
In an equation like the domain is all real numbers because x can be any number.
In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.
Thus, the domain is
I hope that helps!
Step-by-step explanation:
Does anyone know the answer to this one ?
A: (-0.25,0),(4.25,0)
B: (1,4),(4,-1)
C: (0,-5), (5,0)
D: (0,-1), (2,-5)
Answer:
(1, -4), (4, -1)
Step-by-step explanation:
A solution to a system of equations is when the two lines intersect. In this case, we have two intersections, which means two solutions.
From left to right, we first see an intersection at (1, -4).
Continuing to the right, we see another intersection at (4, -1)
These are our two solutions.
(1, -4), (4, -1)
Hope this helps!
. How many four letter patterns can be formed using the letters A, B, and C if letters may be repeated?
Answer:
24 patterns
Step-by-step explanation:
Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;
4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]
= [tex]\frac{4 x 3 x 2!}{1!}[/tex]
= 4 x 3 x 2
= 24
4[tex]P_{3}[/tex] = 24
Therefore, 24 four letter patterns can be formed when the given letters are repeated.
A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance .
Complete question :
Birth Month Frequency
January-March 67
April-June 56
July-September 30
October-December 37
Answer:
Yes, There is significant evidence to conclude that hockey players' birthdates are not uniformly distributed throughout the year.
Step-by-step explanation:
Observed value, O
Mean value, E
The test statistic :
χ² = (O - E)² / E
E = Σx / n = (67+56+30+37)/4 = 47.5
χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295
Degree of freedom = (Number of categories - 1) = 4 - 1 = 3
Using the Pvalue from Chisquare calculator :
χ² (18.295 ; df = 3) = 0.00038
Since the obtained Pvalue is so small ;
P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year.
Solve the system by substitution
-8x+y=-9
y=7
What is the point-slope equation of a line with slope -4 that contains the point
(-2,7)?
A. Y+7 = -4(x-2)
B. y-7 = -4(x - 2)
c. y+ 7 = -4(x + 2)
D. Y-7 = -4(x + 2)
Answer:
y -7 = -4(x + 2) (Answer D)
Step-by-step explanation:
The general point-slope equation is y - k = m(x - h)
If the slope, m, is -4, and the point is (h, k) with h = -2 and k = 7), then we have in this case
y -7 = -4(x + 2) (Answer D)
The average basketball has a diameter of 9.5 inches. What is the volume of an average basketball?
the formula for volume of sphere is 4/3||r^3
diameter=2radius
in the formula we need to have radius but we have been given diameter so we convert diameter to radius
d=2r
r=d/2
9.5÷2
4.75
Seventy-five percent of the land in Venezuela is owned by:
2% of the people
17% of the people
75% of the people
10% of the people
Evaluate the expressions 56 with a variable of -1
Answer:
The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.
Step-by-step explanation:
If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.
In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.
In rolling two dice, what is the probability that the sum of the two numbers on the dice will be 4?
A: 1 over 12
B: 3
C: 11 over 12
D: 2 over 3
Answer:
A
Step-by-step explanation:
If the dice are fair and 6 sided then you can roll a 4 in three ways
2 2
1 3
3 1
The total number of ways you can throw two 6 sided dice is 6 * 6 or 36
So P(4) = 3/36 = 1/12
help pls no li is I'll give you briliantest pls help pls pls pls pls pls pls pls pls pls pls
Answer:
40.5
I hope u get a good mark glll
Step-by-step explanation:
I’ll give brainiest whoever answers this
Answer:
about 75.36
Step-by-step explanation:
we know the radius of the base (circle) is 2 since 4/2 is 2.
Area of cylinder is height times area of base
6*4π=24π
You round π as 3.14
so 3.14*24= 75.36
Answer:
[tex] 75.4 \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cylinder h = 6 cm
Diameter d = 4 cm
Radius r = 4/2 = 2 cm
[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(2)}^{2} \times 6 \\ \\ = 3.14 \times 4 \times 6 \\ \\ = 3.14 \times 24 \\ \\ = 75.36 \\ \\ = 75.4 \: {cm}^{3} [/tex]
Determine the value of mAB in the following diagram
is it 110 or 20????
please please don't tell me to click a link I will report you
An algebraic expression 2x² + 2xy is trinomial algebraic expression true or false
Answer:
False
Step-by-step explanation:
right!!
Please help thank you
Answer:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
J is the answer ............
Answer:
The answer is G.
Step-by-step explanation:
calculate the area of a circle with a diameter of 0, 8m
Answer:
50.24=4squared times pie
Step-by-step explanation:
Answer:
The area of a circle with a diameter of 0.8 meters is approximately 0.50 [tex]m^2[/tex].
Step-by-step explanation:
Since the diameter of the circle is 0.8 meters, that means the radius of the circle would be 0.4 meters. The area of a circle can be found by the formula [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]0.4^2*\pi[/tex] = [tex]0.16 * \pi[/tex] ≈ 0.50 [tex]m^2[/tex].