(a+b-c)(ab-bc+ca)
expand
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Answer:
a2b+ca2+ab2-b2c+bc2-c2a-abc
Related Questions
can someone help me with this please and I also need the steps thanks
Answers
Answer:
16.4
Step-by-step explanation:
For the 66° angle, the side with length 15 is the opposite leg.
The hypotenuse is x.
The trig ratio that relates the opposite leg to the hypotenuse is the sine.
sin A = opp/hyp
sin 66° = 15/x
x * sin 66° = 15
x = 15/sin 66°
x = 16.4
I need the answer ASAP
Brainliest to the correct answer
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CF = 20 mm (millimeters)
EG = 0.1 m (meters)
The last question only had one “m” so I’m assuming it’s meters
Add and write the fraction or mixed number in its simplest form: 2/5 + 1/4 + 7/10
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Answer:
The LCM of 5, 4, and 10 is 20 so we can rewrite this expression as:
8/20 + 5/20 + 14/20 = (8 + 5 + 14) / 20 = 27 / 20 = \(1\frac{7}{20}\)
Adding all the three fractions ,
Simplest form is
\(1\frac{7}{20}\)
Given :
\(\frac{2}{5}+\frac{1}{4} +\frac{7}{10}\)
Step-by-step explanation:
To add all the fractions , the denominators should be same
Lets find out LCD of 5,4 and 10
\(5= 1,5\\4=2,2\\10=5,2\\LCD=5\cdot 2\cdot 2=20\)
Least common denominator = 20
Multiply the first fraction by 4 and second fraction by5 and third fraction by 2 to get same LCD 20
\(\frac{2}{5}+\frac{1}{4}+\frac{7}{10}\\\frac{8}{20}+\frac{5}{20}+\frac{14}{20}\\\\\frac{8+5+14}{20}\\\frac{27}{20}\)
We cannot simplify the fraction further . So we write it in mixed form
\(1\frac{7}{20}\)
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-2x(x+3)-(x+1)(x-2)=
Answers
Answer:
\(-3x^{2}\) -5x +2
Step-by-step explanation:
Just combine like terms and solve.
-2x^2+-6x - (x+1)(x-2)
Use foil on the second part
-2x^2-6x - x^2-x-2
Now combine like terms and you’d get your final answer
Type the answer in standard form below.
2,000,000+600,000+
30+8
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Answer:
2,600,038
Step-by-step explanation:
Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.
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Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.
Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.
To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:
(20 + x) / (35 + x) = 80 / 100
Cross-multiplying, we get:
100(20 + x) = 80(35 + x)
Expanding and simplifying:
2000 + 100x = 2800 + 80x
Subtracting 80x from both sides:
20x = 800
Dividing by 20:
x = 40
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
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1. Find the slope of the line through
(-2,1) and (4,-2).
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Answer: ________________________________________________
f(x) = -1/2x
Answer:
Step-by-step explanation:
slope = y2-y1/x2-x1
-2-1/4-(-2)=-3/6=-1/2 or -0.5
A) draw a graph, and label and scale both axes. Plot the points (-2, 3) and (1, -5), clearly labeling them.B) connect the dots plotted above and find the slope of that line
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Below is the grapph of the plotted points
A)
B) Below is the graph of the plotted points as the dots has been connected
We can now go ahead to find the slope
The formula for calculating slope is given by;
\(\text{slope =}\frac{y_2-y_1}{x_2-x_1}\)From the two points;
x₁=-2
y₁=3
x₂=1
y₂=-5
substitute the values in the formula
\(\text{slope}=\frac{-5-3}{1+2}\)\(=\frac{-8}{3}\)\(=-2.67\)
Which equation matches this graph?
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Answer:
its the 3rd one
Step-by-step explanation:
Bcs i know
PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
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number one take the second
The length of a rectangle is 6 meters more than three times the width. The perimeter of the rectangle is 44 meters. What are the dimensions of the rectangle?
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Answer:
width=4
length=18
Step-by-step explanation:
length-6=3width
length=3width+6
also:
perimeter of the rectangle=2(length+width)
44/2=width+length
22=width+length
now put the length we found in the 1st equation, in 22=width+length
=>22=width+3width+6
22-6=4width
width=4
now do the exact same thing with one of these equations:
22=width+length
length=3width+6
I'd do it with the 1st one:
22=4+length
22-4= length
length=18
Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
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Robert has 10 nickels, which means he already has 10 coins. We need to find the possible values for the number of dimes he could have.
Let's assume Robert has x dimes.
The value of 10 nickels is 10 * $0.05 = $0.50.
The value of x dimes is x * $0.10 = $0.10x.
The total value of the coins is at least $2.20. So we can write the inequality:
$0.50 + $0.10x ≥ $2.20
Now let's solve this inequality for x:
$0.10x ≥ $2.20 - $0.50
$0.10x ≥ $1.70
x ≥ $1.70 / $0.10
x ≥ 17
Therefore, the possible values for the number of dimes Robert could have are 17 or greater.
So, the comma-separated list of possible values for the number of dimes is: 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29.
Note: We have considered the maximum limit of 29 coins mentioned in the problem, so any value of x greater than or equal to 17 and less than or equal to 29 would satisfy the given conditions.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
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The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answers
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
Multiply (2.5x10^-5)x(2x10^-4)
Answers
Answer:7·10^(-9), or
7
----------
10^9
Step-by-step explanation:
Multiply 3.5 and 2 together, obtaining 7.
Then add the exponents -6 and -4, obtaining -10.
The product is thus 7·10^(-10), or, after simplification,
7·10^(-9), or
7
----------
10^9
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?
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The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.
Given the following data:
Displacement = 100 feetTime = 1 secondsPosition function = \(s(t) = -16t^2 + 20t + 100\)To calculate the velocity of the ball in ft/sec, when t = 1 second:
Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.
Velocity = s'(t)
Velocity = \(s(t) = -16t^2 + 20t + 100\)
\(Velocity = -32t + 20\)
Substituting the value of time (t), we have:
\(Velocity = -32(1) +20\\\\Velocity =-32+20\)
Velocity = -12 ft/sec
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how many cubic blocks with a side length of 1/6 cm are needed to fill the volume of this prism?The answer choices are 4,8,9,32.
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Given the figure, we can deduce the following information:
Height=1/2 cm
Length=1/2 cm
Width= 1/6 cm
To determine the number of cubic blocks with a side length of 1/6 cm needed to fill the volume of the given prism, we first note that a cube has equal sides. So, the dimensions of the cube must be:
Height= 1/6 cm
Length=1/6 cm
Width=1/6 cm
Next, we get the volume of the cube by using the formula:
\(\begin{gathered} Volume\text{ of the cube}=(Height)(Length)(Width) \\ =(\frac{1}{6})(\frac{1}{6})(\frac{1}{6}) \\ Simplify \\ =\frac{1}{216}\text{ }cm^3\text{ } \end{gathered}\)Then, we get the volume of the given prism using the same formula:
\(\begin{gathered} Volume\text{ of the given prism}=(He\imaginaryI ght)(Length)(W\imaginaryI dth) \\ =(\frac{1}{2})(\frac{1}{2})(\frac{1}{6}) \\ =\frac{1}{24}\text{ }cm^3\text{ } \end{gathered}\)Now, we find the number cubic blocks by using the formula:
\(\begin{gathered} Number\text{ }of\text{ cubic blocks}=\frac{Volume\text{ of the given prism}}{Volume\text{ of the cube}} \\ =\frac{\frac{1}{24}}{\frac{1}{216}} \\ Simplify \\ =9 \end{gathered}\)Therefore, the answer is 9.
I really need help is there any one that can help me rn ?
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Given:
a function f(x) = (x-2)^2 is given.
Find:
we have to find the function whose graph is a result of horizonal shift of 2 units of the original graph.
Explanation:
Since the given graph of the function is shifted 2 units horizontally,
and we know y is vertical axis, x is horizontal axis.
So put x = x+2 in the given function, we get
\(\begin{gathered} f(x)=(x+2-2)^2 \\ f(x)=x^2 \end{gathered}\)Therefore the graph of f(x)=(x-2)^2 is a result of horizontal shift of 2 units of f(x) = x^2.
The graphs are given for the reference
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
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The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Find two square numbers that total 45
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x^2+^2=45
if ×=3 and y=6
then 9+36=45
Write an equation of the line that is parallel to the line whose equation is 3y+ 7 = 2x and passes through the point (2;6).
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y=2/3x+14/3 this is because math is nath
Extensive experience with fans of a certain type used in diesel engines has suggested that the exponential distribution provides a good model for time until failure. Suppose the mean time until failure is 23,100 hours.
(a) What is the probability that a randomly selected fan will last at least 20,000 hours?
What is the probability that a randomly selected fan will last at most 30,000 hours?
What is the probability that a randomly selected fan will last between 20,000 hours and 30,000 hours?
(b) What is the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations?
What is the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations?
Answers
Answer:
0.4207149;0.7271136; 0.3063987; 0.04979 ; 0.01832
Step-by-step explanation:
For an exponential distribution:
IF Mean time until failure = 23100
λ = 1/ 23100 = 0.0000432900
What is the probability that a randomly selected fan will last at least 20,000 hours
x ≥ 20000
P(X ≥ 20000) = 1 - P(X ≤ 20000)
1 - P(X ≤ 20000) = [1 - (1 - e^(-λx))]
1 - P(X ≤ 20000) = [1 - (1 - e^(-0.0000432900*20000)
1 - P(X ≤ 20000) = [1 - (1 - 0.4207148)]
1 - P(X ≤ 20000) = 1 - 0.5792851
1 - P(X ≤ 20000) = 0.4207149
11) What is the probability that a randomly selected fan will last at most 30,000 hours?
x ≤ 30000
P(X ≤ 30000) = 1 - e^(-λx)
P(X ≤ 20000) = 1 - e^(-0.0000432900*30000)
= 1 - e^(−1.2987)
= 1 - 0.2728863
= 0.7271136
111) What is the probability that a randomly selected fan will last between 20,000 hours and 30,000 hours?
0.7271136 - 0.4207149 = 0.3063987
B) What is the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations?
More than two standard deviation
X = 23100 + 2(23100) = 23100 + 46200 = 69300
Using the online exponential probability calculator :
P(X > 69300) = 0.04979
C) What is the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations?
X = 23100 + 3(23100) = 23100 + 69300 = 92400
P(X > 92400) = 0.01832
a line passes through the point (6,-1) and is perpendicular to the line with equation "-2+3y=-6" which is the equation of the line
Answers
Answer:
y = 1/3x
Step-by-step explanation:
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
Answers
Lukas is trying to lose weight. He starts the year
weighing 254 pounds. If he plans to burn enough
calories to lose 2 pounds per week, which
equation can be used to find w, the number of
weeks that will pass before Lukas weights 228
pounds?
For BRAINLIST!!
Answers
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A random variable X is generated as follows. We flip a coin. With probability p , the result is Heads, and then X is generated according to a PDF f X|H which is uniform on [0,1] . With probability 1−p the result is Tails, and then X is generated according to a PDF f X|T of the form
f X|T (x)=2x,if x∈[0,1]. (The PDF is zero everywhere else.)
1. What is the (unconditional) PDF f X (x) of X ? For 0≤x≤1 : f X (x)=
2. Calculate E[X] .
Answers
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point a:
\(fx|H(x) = 1;0< x<1\\\\fX|T(x) = 2x; 0\leq x \leq 1\\\\fx(x) = P(H \bigcap X = x) +P(T \bigcap X=x)\\\\\)
\(=P(H)fX|H(x)+P(T)fX|T(x)\\\\= p(1) + (1-p)2x\\\\= p(1 -2x)+2x\\\\\)
Using the PDF of the X value
\(fX(x) =2x +p(1 - 2x); \ 0\leq x\leq 1\)
0 ; otherwise
For point b:
\(E(X)=\int^{1}_{0} \ x fX (x)\ dx=\int^{1}_{0} \ x(2x+p(1-2x))\ dx\\\\=\int^{1}_{0} \ (2x^2+(x-2x^2)p) dx\\\\\)
\(= 2(\frac{x^3}{3}) + (\frac{x^2}{2}-2(\frac{x^3}{3}) \begin{vmatrix} x=1\\ x=0\end{vmatrix} \\\\\)
\(= \frac{2}{3} + (\frac{1}{2} - \frac{2}{3})p\\\\= \frac{2}{3} -\frac{p}{6}\\\\= \frac{(4 - p)}{6}\)
=3sinθ/2cos2θ
Which of the following gives the Cartesian form of the equation above?
Select the correct answer below:
y=2/3x2
2y4(x2+y2)=3x2
2x4(x2+y2)=3y2
y=√3/2x
Answers
Answer: correct answer is A 2/3x^2
Step-by-step explanation:Multiply each side of the equation by 2cos2θ to get 2rcos2θ=3sinθ.
Multiply each side of the equation by r to get 2r2cos2θ=3rsinθ. Using the relationships x=rcosθ and y=rsinθ, the equation becomes 2x2=3y.
Divide each side of the equation by 3 and reverse the order of the equation to find that y=2/3x^2
who is lionel messi
Answers
Answer:
He is a soccer player
Step-by-step explanation:
Lionel Andrés Messi is an Argentine professional footballer who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.
Answer:
an Argentine professional footballer (soccer) who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.
Step-by-step explanation:
Charles made 3 withdrawals of $40 from his checking account. He deposited two checks for $15
each. By how much did the amount in his checking account change? Explain using 2-3 sentences
how you arrived at your answer.
Answers
Step-by-step explanation:
3 x -$40 = -$120
2 x $15 = $30
-$120 + $30 = -$90
The amount in his checking account changed by $90
When you order a salad from Nelly's Deli, you can choose from 5 different base salads, 3 different proteins, and 6 different dressings. How many different combinations for a salad are possible?
Answers
Answer:
90
Step-by-step explanation:
This type of problem is an example of combinations. In this case, in one salad, it states that you can chose between 5 bases, 3 proteins, and 6 dressings.
In this problem, you would have to multiply all numbers together.
In this case, 5(bases)x3(protiens)x6(dressings)=90
I hope this helps you!