Answer:
This ans is easily solved by using algebraic identities a²- b² = (a+b) (a-b)
Step-by-step explanation:
1. convert into Identity
2. solve quadratic equation that formed.
A coin is tossed 5 times. Find the probability of getting at least 1 tail.
Answer:
31/32
Explanation:
If a coin is tossed 5 times, obtaining at least 1 tail means you can either obtain 1,2,3,4, or 5 tails.
\($$\text{P(getting at least one tail in 5 tosses)}$$=1-P(5\text{ heads in 5 tosses)}\)In a coin toss:
\(\begin{gathered} P(\text{obtaining head)}=\frac{1}{2} \\ P(\text{obtaining tails)}=\frac{1}{2} \end{gathered}\)Therefore:
\(P(5\text{ heads in 5 tosses)}=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=(\frac{1}{2})^5=\frac{1}{32}\)This then means that the probability of getting at least 1 tail:
\($$\text{P(getting at least one tail in 5 tosses)}$$=1-\frac{1}{32}=\frac{31}{32}\)The probability is 31/32.
Note: You can also solve this problem using the binomial probability formula.
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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Which fraction is equivalent to 38%?
A: 3 over 8
B: 9 over 25
C: 19 over 50
D: 3 4/5
Answer:
C: 19 over 50
Step-by-step explanation:
.3*50=15
.08*50=4
15+4=19
.38*50=19
19/50=.38
Answer:
C: 19 over 50
Step-by-step explanation:
To turn a fraction into a decimal, you divide the numerator (top number) by the denominator (bottom number). 19 divided by 50 is 38%.
Please help!!!!! In a hurry
Answer:
1/12
Step-by-step explanation:
Answer:
1 /12. hope you get an a, thx
The commutative property does not work for which operations?check all that applys.
Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Step-by-step explanation:
Hope this is right!!!!
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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1/3 -shade the hexagon to show the fraction. The confusion is now to shade when the denominator isn’t 6...
What should be shaded for 1/3.
Answer:
Step-by-step explanation:
Let's understand this problem with an example.
\(\frac{1}{3}\) fraction of a cake defines one part taken out of total 3 parts of the cake.
If this cake is divided in 6 parts, \(\frac{1}{3}\) of the cake will be defined by the two parts parts chosen out of 6 parts of the cake.
Algebraically we represent this phenomenon with,
\(\frac{1}{3}=\frac{1\times 2}{3\times 2}=\frac{2}{6}\)
Therefore, color two parts out of 6 to represent \(\frac{1}{3}\)
Should i get iphone 7 rose gold or iphone 7 red
Answer: Red
Step-by-step explanation:
Personally, you should get a better phone than an iPhone 7
Answer: iPhone
Step-by-step explanation:
Ok, so to answer this question you need to do a simple formula: eenie-meenie-miney-moe. Or just choose which color you like better... although I don't think iPhone makes iPhone 7's anymore (as of 2022).
Sorry if this doesn't help very much.
I would choose red if you seriously cannot choose.
Stefanie biked a total of 4 miles making 2 trips to school. Which of the following ratios is equivalent to Stefanie's rate?
The ratio that is equivalent to Stefanie's rate is 1 : 2
Which of the following ratios is equivalent to Stefanie's rate?The given parameters are
Distance = 4 miles
Trips = 2
The ratio that is equivalent to Stefanie's rate is represented as
Rate = Trips/Distance
So, we have
Rate = 2 trips /4 miles
Evaluate
Rate = 1/2 trip per mile
Express as raton
Ratio = 1 : 2
Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2
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Am I correct?? Plz need help
7+4(1-8p)
I’m confused is it -32p+11 or 11-32p
Answer:
Either. They are both correct
Step-by-step explanation:
So 7+4(1-8p): 7+4-32p => 11-32p => -32p+11.
Answer:
11-32p
Step-by-step explanation:
The answer is 11-32p because your only distributing the 4 to the 1 and 8p.
Reflect shape A in the line x = -2
The reflection of shape from x = -2 shown below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
To reflect the figure from x= -2.
Then, the coordinates of object after reflection is
(-1, -1)
(1, -1)
(-1, -4)
(0, -4)
(1, -3)
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for positive acute angles A and B, it is known that sin A = 40/41 and tan B = 20/21. find the value of sin(A+B) in simplest form
Answer:sin(A+B) = sinAcosB+sinBcosA
if cosA = 9/41 then sinA =j40/41 It's a 9-40-41 right triangle
if tanB =21/20 then sinB =21/29 and cosB= 20/29 It's a 20-21-29 right triangle
plug those values into 1st equation above
sin(A+B) = 40/41(20/29) + 21/29(9/41) = ((40)20 + (21)9))/29(41) = (800+189)/1189 = 989/1189 = 0.832
or you could have just found A and B initially. cosA = 9/41 means A = 77.32 degrees
tanB = 21/20 means B = 46.4
A+B = 123.72
sin(123.72) = 0.832
Exact answer though without rounding is sin(A+B) = 989/1189
Step-by-step explanation:
Three objects can only move along a straight, level path. The graphs below show the position, d, of each of the objects plotted as a function of time, t. Graph I: Slope of y=x
Graph II: y=d Graph III: y=x^n. The sum of the forces on the object is zero in which of these cases?
In the given condition for the graph where the sum of the forces on the object is equal to zero is represented by the Graph I : slope of y = x and the graph II : y = d.
Function of the graph is representing the distance 'd' and time 't'.
Three objects only move along a straight path.
Condition for which sum of the forces on the three objects is zero are:
Force = mass × acceleration
Mass cannot be equal to zero.
It implies to make above condition true acceleration = 0.
Acceleration is zero when speed is zero.
For the condition when y = x
Slope ( speed ) = d /t
= 0
y = x ⇒ y₁ = x₁ and y₂ = x₂
Graph I slope of y = x is true.
y = d when line is parallel to the x-axis.
Slope = 0
⇒acceleration = 0
⇒Force = 0
Therefore, for the given graph condition the sum of the forces are equal to zero when y = x and y = d.
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5 3/10x-1/5(x-y) pls help
Answer:
3/26/2023, 10:00:19 PM
write a story to illustrate the saying:Monkeys play by their sizes
3/26/2023, 10:00:31 PM
Once upon a time, in a dense forest, there lived different species of monkeys. The monkeys were known for their mischievous nature and their love for playing games. One day, they decided to organize a game of tug-of-war.
The monkeys gathered on either side of a long rope, eager to show off their strength. The bigger and stronger monkeys, like the gorillas and baboons, stood at one end, while the smaller monkeys, like the macaques and tamarins, stood at the other end.
Everyone was excited to start the game, but as soon as it began, it became clear that something was wrong. The larger monkeys easily pulled the smaller ones towards them, causing them to lose the game every time.
The smaller monkeys started complaining, saying that the game was unfair because the bigger monkeys had an advantage over them. But the bigger monkeys simply laughed and said, "Monkeys play by their sizes!"
The smaller monkeys realized that this saying was true. They understood that everyone has their strengths and weaknesses and that they should not try to compete with others who are stronger or more powerful than them. Instead, they decided to play games among themselves, where they could use their own unique skills and abilities to compete fairly.
And so, the monkeys continued to play games and have fun in their own way, without worrying about competing with those who were bigger and stronger. From that day on, they respected each other's differences and played by their own sizes.
3/26/2023, 10:00:59 PM
A rod with a length of 1.6 m is made of aluminum, which has a coefficient of linear expansion of 2.40 ✕ 10−5 (°C)−1. It is initially at a temperature of 25°C.
(a)
What is the change in length of the rod if the temperature drops to 0.0°C? (Give the absolute value in units of mm.)
mm
(b)
How does the rod's length change with lower temperature?
The rod shrinks with lower temperature.
The rod expands with lower temperature.
The rod's length does not change with lower temperature.
(c)
Find the absolute value of the fraction by which the rod's length changes between the two temperatures.
ΔL
L0
=
3/26/2023, 10:01:10 PM
(a) To calculate the change in length of the rod, we can use the formula:
ΔL = αLΔT
where:
α = coefficient of linear expansion
L = initial length of the rod
ΔT = change in temperature
Substituting the given values, we get:
ΔL = (2.40 ✕ 10^-5 (°C)^-1) x (1.6 m) x (25°C - 0.0°C)
ΔL = 0.0096 m
Converting meters to millimeters, we get:
ΔL = 9.6 mm
Therefore, the change in length of the rod is 9.6 mm.
(b) The rod shrinks with lower temperature.
(c) The absolute value of the fraction by which the rod's length changes between the two temperatures can be calculated using the formula:
ΔL
L0
where:
ΔL = change in length of the rod
L0 = initial length of the rod
Substituting the given values, we get:
ΔL
L0
= 0.0096 m / 1.6 m
= 0.006
Therefore, the absolute value of the fraction by which the rod's length changes between the two temperatures is 0.006.
3/26/2023, 10:01:58 PM
prove or disprove if power set a = power set b then a=b discrete math
3/26/2023, 10:02:05 PM
We can disprove the statement "If power set A = power set B, then A = B" using a counterexample.
Let A = {1}, and B = {2}. Then:
Power set of A = {{}, {1}}
Power set of B = {{}, {2}}
Both power sets have two elements: an empty set and a singleton set. Therefore, power set of A is equal to power set of B.
However, A and B themselves are not equal. A contains the element 1 while B contains the element 2. Therefore, we can say that "power set of A = power set of B" does not imply "A = B".
Hence, the statement "If power set A = power set B, then A = B" is false.
3/26/2023, 10:04:17 PM
5 3/10x-1/5(x-y)
3/26/2023, 10:04:27 PM
To simplify the expression 5(3/10)x - 1/5(x - y), we can first distribute the 5 and the -1/5 to get:
(3/2)x - 1/5x + 1/5y
Then, we can combine like terms by adding the coefficients of x and y:
(3/2 - 1/5)x + (1/5)y
To simplify further, we need to find a common denominator for the fractions:
(15/10 - 2/10)x + (2/10)y
Simplifying the numerators, we get:
(13/10)x + (2/10)y
Finally, we can reduce the fractions by dividing both terms by their greatest common factor (GCF) of 1/10:
(130/100)x + (20/100)y
Simplifying further, we get:
(13/10)x + (1/5)y
Therefore, the simplified expression is (13/10)x + (1/5)y.
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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help me please hsdjjdjs
Answer:
D 7=17.50 12=30.00 20=50.00
$ 8=20.00
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
20 POINTS!!!!!!!!!!!!!
2+10=?????
Answer:
12
Step-by-step explanation: yes, big brain
the answer is 12
Step-by-step explanation:
10 add 2 altogether 12
A certain shade of light blue paint is made by mixing 1(1/2) quarts of blue paint with 5 quarts of white paint. How much white paint would you need to mix with 4 quarts of blue paint?
a) Set up the table with headings (names of the variables and the units).
b) Show how to use the table to solve the problem.
c) Record your final answer below.
By using Unitary method it can be calculated that
4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint
1 quart of blue paint is mixed with \(3\frac{1}{3}\) quarts of white paint
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
a) Here, Unitary method will be used
Blue Paint White Paint
(Quart) (Quart)
\(1\frac{1}{2}\) 5
\(1\frac{1}{5}\) 4
1 \(3\frac{1}{3}\)
5 quarts of white paint is mixed with \(\frac{3}{2}\) quarts of blue paint
1 quart of white paint is mixed with \(\frac{3}{2} \times \frac{1}{5}\) quarts of blue paint
4 quarts of white paint is mixed with \(\frac{3}{2} \times \frac{1}{5} \times 4\) quarts of blue paint
4 quarts of white paint is mixed with \(\frac{6}{5}\) quarts of blue paint
4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint
Again
\(\frac{3}{2}\) quarts of blue paint is mixed with 5 quarts of white paint
1 quart of blue paint is mixed with \(5 \div \frac{3}{2}\) quarts of white paint
1 quart of blue paint is mixed with \(\frac{10}{3}\) quarts of white paint
1 quart of blue paint is mixed with \(3\frac{1}{3}\) quarts of white paint
c) Finally
4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint
1 quart of blue paint is mixed with \(3\frac{1}{3}\) quarts of white paint
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Literal Equations
Solve for y
-2x + 5y
———— =15
3
Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Please answer this math problem I'm stuck on it
Answer:
the not given no will be 33
Step-by-step explanation:
if you subtract 33-3=30
if multiply 30into4=120+7=127
easyyyy
Two sides of a triangle measure 8 and 13. what represents x, the possible length in inches of the remaining side
Answer:
the possible number would be 159 in
Step-by-step explanation:
In a solar system 6 of 9 of the planets has a satellite what is the percentage of planets that don’t have a satellite
Answer:
33%
Step-by-step explanation:
6/9 = .66 which is the amount that do have it
1 - .66 = .33 which is the amount that dont.
.33 x 100 = 33%
2y = 4x - 12
Find the x and the y intercept of the line.
9. Six people arrive at a party (A, B, C, D, E, F). They arrive at different times. In how
many ways can they arrive? Find the probability that A arrives first and F arrives last.
Answer: the answer is your mom
Step-by-step explanation:
Answer:
Step-by-step explanation: 720 ways overall , First and Last set = 24 ways, Probability of First and Last happening =130
Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
rational numbers and irrational numbers
Step-by-step explanation:
Shania is having trouble understanding her algebra assignment. To help her understand, she asks Mark why x2 x y3 is not equal to (xy)5. Which of the following responses would be best for Mark to give?
Answer:
In 2x*3y, you must multiply each term together. 2*3=6 and x*y=xy. So, 2x*3y=6xy.