Answer:
n＝2
Step-by-step explanation:
2n＝4
n＝2
Answer:
= 2
Step-by-step explanation:
Please mark brainliest :)
Hope this helps
Have a great day!!
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate
A certain population increases at a rate proportional to the square root of the population. If the population goes from 2500 to 3600 in five years, what is the population at the end of t years
Answer:
[tex]P(t) = (2t + 50)^2[/tex]
Step-by-step explanation:
A certain population increases at a rate proportional to the square root of the population.
This means that the population can be described by the following differential equation:
[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]
In which r is the growth rate.
Solving by separation of variables, we have that:
[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]
Integrating both sides:
[tex]2\sqrt{P} = rt + K[/tex]
In which K is a random constant
[tex]\sqrt{P} = 0.5rt + K[/tex]
Finding the squares of both sides:
[tex]P(t) = (0.5rt + K)^2[/tex]
Finding the value of K
The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So
[tex]P(t) = (0.5rt + K)^2[/tex]
[tex]2500 = (0.5r(0) + K)^2[/tex]
[tex]K^2 = 2500[/tex]
[tex]K = \sqrt{2500}[/tex]
[tex]K = 50[/tex]
So
[tex]P(t) = (0.5rt + 50)^2[/tex]
Finding the value of r
Population of 3600 in 5 years(when t = 5). So
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]3600 = (0.5r(5) + 50)^2[/tex]
[tex](2.5r + 50)^2 = 3600[/tex]
Taking the square root of both sides
[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]
[tex]2.5r + 50 = 60[/tex]
[tex]2.5r = 10[/tex]
[tex]r = 4[/tex]
So, the equation for the population at the end of t years is given by:
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]P(t) = (0.5(4)t + 50)^2[/tex]
[tex]P(t) = (2t + 50)^2[/tex]
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
Select the correct answer.
Which system of equations can be represented by this matrix?
Answer: C
Step-by-step explanation: As you most likely know, the matrix represents the system of equations. If you assume that x is the far left column, that y is the column adjacent to it, and that y is to the left of the line, you can assume that these are the equations represented:
1x-3y+2z=-9
1x+0y+1z=1
0x+2y-1z=7
which can be simplified to
x-3y+2x=-9
x+z=1
2y-z=7
HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
Which of these is a solution to the equation ⅛ = ⅖ x? Use inverse operations to solve.
2/40
5/16
11/40
17/40
PLEASE HELP ITS DUE TODAY
Answer:
Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.
help! I’m not sure what this is
Answer:
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
Step-by-step explanation:
Given points are;
(-4, -20) and (12, 36)
First we will find slope of the equation,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{36-(-20)}{12-(-4)}\\\\m = \frac{36+20}{12+4}\\\\m = \frac{56}{16}\\\\m = \frac{7}{2}[/tex]
Equation of a line is given by;
y = mx + b
Putting (-4, -20) in this equation to find b.
[tex]-20=\frac{7}{2}*-4+b\\-20 = -14 + b \\-20+14 = b \\b = -6[/tex]
The equation is;
[tex]y = \frac{7}{2}x - 6[/tex]
Hence,
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
4 of 8
?
Find the LCM of 9 and 3
Answer:
the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9
Step-by-step explanation:
hope this helpes you out
6 points
15. Rectangle JKLM with vertices J(8, 11), K(14, 11), L(14,-4), and M(8,-4):
scale factor k = 1/3, centered of dilation at (5,2). What are the coordinates
of J'? *
How many solutions does 2x-4=4-2x have?
Answer:
8/4 or 2
Step-by-step explanation:
2 solutions
The equation 2x - 4 = 4 - 2x has a single solution, x = 2.
The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.
First, let's simplify the equation by combining like terms:
4x - 4 = 4
Next, we can add 4 to both sides of the equation to isolate the variable:
4x - 4 + 4 = 4 + 4
This simplifies to:
4x = 8
Now, we divide both sides of the equation by 4 to solve for x:
(4x) / 4 = 8 / 4
This yields:
x = 2
Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.
This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.
In summary, the equation has one solution, which is x = 2.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ6
Evaluate the expression For x = 2 and y = 4
Answer:
ga is a counting number of times in
Step-by-step explanation:
k I have been working on this project for a year now so it will not care if we can get
expand the following 3x
k bye and sorry I have been thinking about traingle
Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix?
So numberone.....
haikyuu: its really good but its does cuss a bit.
MakoMermaids: LOLOLOL this one is kinda a joke-but itsgood
Work It:I totally recommend this one! Its a funny movie about a girl starting a dance group. Its great.
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
Find the product or quotient using only positive exponents
Answer:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^6}{6x^{-1}}[/tex]
Required
Solve
In laws of indices, we have:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{3x^{6 - (-1)}}{6}[/tex]
[tex]\frac{3x^{6 +1}}{6}[/tex]
[tex]\frac{3x^7}{6}[/tex]
Divide 3 and 6 by 3
[tex]\frac{1x^7}{2}[/tex]
[tex]\frac{x^7}{2}[/tex]
This can be rewritten as:
[tex]\frac{1}{2}x^7[/tex]
Hence:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
doar de la 1 pana la 9
One day your parents will die then you will then your children will then your grand children and so on thats how it feels to be dead do you want to be with your family or not
Answer:
Yes that is truth that you have wrote
Answer:
ya but am always with them so i dont worryStep-by-step explanation:
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
Solve.
8d + 6 = 22
d =
Change this radical to an algebraic expression with fractional exponents.
The exponent on y is:
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
[tex]\sqrt{y^2[/tex]
Required
Convert to fractional exponent
Here, we simply apply the following law of indices:
[tex]\sqrt{x^m} = x^{\frac{m}{2}}[/tex]
So, the expression becomes:
[tex]\sqrt{y^2} = y^{\frac{2}{2}}[/tex]
[tex]\sqrt{y^2} = y^1[/tex]
[tex]\sqrt{y^2} = y[/tex]
From the above expression, the exponent of y is 1
Click the parts of the grid to shade 20% of the whole grid.
Am I supposed to shade in the whole grid if not please tell me how much to shade
Answer:u fill in 4 tiles
It’s a 4x5 square so there is 20 tiles
And 20 divided by 4 equals 5
So if u fill in 4 tiles it’s like filling in 1/5 aka 20%
I NEED HELP! Reflections! Please and thank you.
When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.
P' = (0,-3)
F' = (4,-2)
M' = (2,3)
Q' = (-2,2)
This is the last question on my homework, whoever answers gets brainliest!
Answer: 0.7, 0.2, 0.1
Step-by-step explanation:
For this question, you have to convert each of the fractions into decimals.
You can directly convert 7/10 into a decimal, this is 0.7
You cannot directly convert 1/5 into a decimal, so you have to convert it into tenths first.
To do this, multiply the numerator and denominator by 2
1 x 2 = 2
5 x 2 = 10
2/10
Now you can convert 2/10 directly into a decimal, this is 0.2
And finally you can convert 1/10 into a decimal, this is 0.1
hope this helps :)
Answer:
Hi! The correct answer is 0.7, 0.2, 0.1!
Step-by-step explanation:
I answered this so you can give the other person brainliest! Have a nice day!
Can someone please help me out? What's the answer to 4 1/2 plus 3 3/4 ?
Answer:
8 1/4
Step-by-step explanation:
4 1/2 + 3 3/4 make the denominators the same
4 2/4 + 3 3/4 add the whole numbers
7 + 2/4 +3/4 add the fractions
8 1/4
Answer: 3
Step-by-step explanation:
I took 4 1/2 and made it an improper fraction which is 9/2 and then I took 3 3/4 and turned it into an improper fraction which is 15/4, so now you need to find the common denomerator which is 8 then you add the numerators which is 9 and 15 is 24 so can be divided by 8 so 24 divided by 8 is 3 and 8 divided by 8 is 1 so now you have another improper fraction 3/1 which is just 3. So that is how I got the answer!! :)