Answer:
100%
Step-by-step explanation:
The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!
Answer:
100%
Step-by-step explanation:
I just took the test on edgenity
Plzzzzz i need help fast
simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
In the simplest form expression (a + b)³ + (a - b)³ + 6a(a² - b²) can be written as, 8a³
What are algebraic identities?Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Given that,
A algebraic identity,
(a + b)³ + (a - b)³ + 6a(a² - b²)
It is known that,
(a + b)³ = a³ + b³ + 3ab(a + b)
(a - b)³ = a³ - b³ - 3ab(a - b)
So, now we can substitute expressions
(a + b)³ + (a - b)³ + 6a(a² - b²)
a³ + b³ + 3ab(a + b) + a³ - b³ - 3ab(a - b) + 6a(a² - b²)
a³ + b³ + 3a²b + 3ab² + a³ - b³ -3a²b + 3ab² + 6a³ - 6ab²
8a³
Hence, the simplest form is 8a³
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What point is located 4 points from point M?
A. Point A
B. Point B
C. Point C
D. x-axis
E. y-axis
Use cross products to identify the equation needed to solve this proportion: 5/x = 2/9
Answer:
x=22.5
Step-by-step explanation:
We are given the proportion:
5/x=2/9
Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.
5*9=2*x
45=2x
2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.
45/2=2x/2
45/2=x
22.5=x
If we substitute 22.5 in for x, the final proportion will be:
5/22.5=2/9
Answer: 22.5 = x
Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables
and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?
Answer:
The system of equations does not have a solution.
Step-by-step explanation:
For example, imagine these two equations y = x + 7 and y = x + 9
Now substitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.
Please help! Correct answer only! I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
===========================================================
Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Write the expression for the amount of wallpaper in square feet you need to cover the living room, which is the same height and width as the family room, but it has a length that is 5 times greater than the height. The living room has 2 doors.
Answer:
The expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
Step-by-step explanation:
The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.
We will now assign variables to represent the surface areas of some features of the rooms.
Let the length of one wall of the living room be = l cm
Let the breadth of one wall of the living room be = b cm
Let the surface area of the doors be = d [tex]cm^{2}[/tex]
From the problem, we know that l = 5b
The area to be covered on one wall of the living room will be = length X breadth.
l X b
recall l = 5b
[tex]5b \times b = 5b^{2}[/tex]
this is the area to be covered on one wall.
For the four walls, we would have [tex]4 \times 5b^{2}= 20b^{2}[/tex]
Let us remember that the living room has two doors each covering a surface area of [tex]d cm^{2}[/tex] we will have to subtract these out since hey won't be covered.
[tex]20b^{2}- 2d[/tex]
Therefore, the expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
Pls help meeeeeeeeeeeeee
Answer:
5^18 in index form is the answer :)
Step-by-step explanation:
(5^3)^6
In a polynomial like this the rule is that,
(a^m)^n
= a^m*n (multiply the exponents)
So let a be 5
m be 3 and n be 6
5^3^6
= 5^3*6
= 5^18
Lines l and m are parallel.
Use the diagram to determine the measure of ∠3.
Answer:
∠3 is 70°
Step-by-step explanation:
∠1 is 50° since it is across from another 50° angle
and then you use the equation x+25+2x+50=180 to find x
x then equals 35°
you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°
Answer:
It is 70
Step-by-step explanation
right on egde 2020.
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
Answer:
29.30cm^3Step-by-step explanation:
If the two cone are similar then the heights are the same
let us find the height of the bigger cone
[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]
For the bigger cone
r= 3cm
v= 66cm^3
[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]
For the smaller cone
r=2cm
v=?
h=7cm
[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]
Answer:
19.6
Step-by-step explanation:
[tex]66=(\frac{3}{2} )^{3} =\frac{27}{8}[/tex]
[tex]\frac{66 x8}{27} = 19.5555555556=19.6[/tex]
[tex]x=[/tex] · [tex]( multiplication symbol )[/tex]
The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
13 years
Step-by-step explanation:
17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2
Mean before was 20.2
In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19
114 / 6 = 19
114-101 = 13 is that number
17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19
Prove that 6+7 root 2 is irrational
Answer:
Step-by-step explanation:
49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.
This is a compound event problem. (Check the videos from this week's assignments.).
You roll a fair six-sided die and spin a spinner. What is the probability that the die shows a 4 and the spinner lands on yellow?
Fraction
Decimal (provide the first 5 decimal numbers)
Percent % (Round to the nearest tenth.)
Answer:
1/12
Step-by-step explanation:
The desired probability is the product of the probabilities of two independent events. The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.
Calculate the probability of this joint event as follows: (1/6)(1/2) = 1/12
If 2> -a, then a < -2.
True
False
Answer:
False
Step-by-step explanation:
Flip the equation.
−a<2
Divide both sides by -1.
a>−2
Mr. Landry, the owner of Blissful Bites Bakery, prepares 30 pounds of cake batter each morning. Mr. Landry uses half of the cake batter to make large cupcakes. If he makes 48 cupcakes, how many ounces of cake batter does he use for each cupcake?
Answer:
5 ounces
Step-by-step explanation:
Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.
This means that he uses 15 pounds of cake batter.
He makes 48 cupcakes with the batter.
Therefore, the number of pounds of batter he uses per cake is:
15 / 48 = 0.3125 pounds
We have to convert it to ounces.
1 pound = 16 ounces
=> 0.3125 pounds = 16 * 0.3125 = 5 ounces
He uses 5 ounces of cake batter for each cake.
Answer:
5 ONCES
Step-by-step explanation:
sry i had caps on but i did the math
Emily and Rachel had lunch at the mall. Emily ordered two slices of pizza and three cookies and her bill was $8. Rachel ordered one slice of pizza and four cookies and her bill was $9. What was the price of one slice of pizza? What was the price of one cookie?
Answer:
one slice of pizza: $1
one cookie: $2
Step-by-step explanation:
Emily: two pizzas (1+1)+three cookies (2+2+2)= 8
Rachel: one pizza (1)+four cookies (2+2+2+2)= 9
can i plz get brainilest? :)
Answer:
piza 1 buck
cooky 2 bucks
Step-by-step explanation:
i did not look at the other answer...
lol i copied the other answer
Find the area of the following
rhombus:
5 cm
13 cm
12 cm
Answer:
Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².
Joe wants to carpet a floor of a bedroom. A floor plan is shown. Find the amount of carpet he will need in the car if it is $3 per square foot
Answer:
Step-by-step explanation:
So basically, what you have to do is first find the area of the floor. The area can be split into 3 shapes, a quarter of a circle, a square, and a rectangle.
Quarter of circle: (3.14r^2)/4
3.14(100)/4
314/4
78.5
Square: s^2
100
Rectangle: lw
600
Total: 78.5+100+600
778.5
Cost: $2335.50
Solve the equation. y + 6 = –3y + 26
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
Add 3y to each side
y+3y + 6 = –3y+3y + 26
4y +6 = 26
Subtract 6 from each side
4y+6-6 = 26-6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
We have to given that;
Expression is,
⇒ y + 6 = - 3y + 26
Now, We can simplify as;
y + 6 = - 3y + 26
Add 3y to each side
y + 3y + 6 = - 3y + 3y + 26
4y + 6 = 26
Subtract 6 from each side
4y + 6 - 6 = 26 - 6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
Thus, The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
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What is the value of x when in the equation 3x-4y=65
Answer:
21.66666667
Step-by-step explanation:
3x-4(0)=65
3x=65
x=21.66666667
You replace y wil 0 when you are sovling for x
Jonathan bought a table and some chairs and a furniture store. The equation that models the situation is Y equals 25X +80, where why is the amount of money he spends and X is the number of chairs he bought. What does the Y intercept mean in the situation?
Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.
Answer:
see below
Step-by-step explanation:
Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.
(-11/2 x + 3) -2(-11/4 x - 5/2) writen in the simplest form, I'm doing summer school
Answer: 8
Step-by-step explanation:
(-11/2x + 3) -2(-11/4x - 5/2)
Distribute
-11/2x + 3 + 22/4x + 10/2
Simplify 22/4x and 10/2
-11/2x + 3 + 11/2x + 5
Cancel out 11/2x and -11/2x
3 + 5
Add 3 and 5
8
Answer:
8
Step-by-step explanation:
(-11/2 x + 3) -2(-11/4 x - 5/2)
Distribute
-11/2 x + 3 +11/2 x + 5
Combine like terms
-11/2 x +11/2 x + 5+3
8
Given f(x) = -2x³ + x² - 2 find f(1)
Answer:
-3
Step-by-step explanation:
[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]
Hope this helps!
plz help me w this!!! lowkey forgot how to do it lol. marking brainiest aswell!!!
Answer:
B
Step-by-step explanation:
A = 1/2π * r²
A/(1/2π) = r² (Divide by 1/2π)
r = √(2A/π) (Take the square root of both sides then simplify)
Answer:
B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]
Step-by-step explanation:
First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
3/10
Step-by-step explanation:
There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10
P( green) = number of green / total
= 3/10
Can someone help me please
Answer:
AA similarity
Step-by-step explanation:
Respective angles of both triangles are 40°, 50° and 90°
AA similarity is the case:
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.
R=6.25
What steps should be taken to complete the conversion? StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilometers Over 1 mile EndFraction times StartFraction 1000 meters Over 1 kilometer EndFraction = blank
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
Required
What steps should be taken to complete the conversion?
The first step is to cancel out equal units;
Kilometre(s) will cancel out Kilometre(s)
Mile(s) will cancel out Miles
And we'll be left with metres
This is shown below
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]
[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]
The next step is to perform all multiplications
[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]
[tex]\frac{12,880\ metres}{1} =[/tex]
[tex]12,880\ metres[/tex]
Answer:
10 inches
Step-by-step explanation:
PLEASE HELP!! The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been made to the account, which statement describes the accounts growth.
The table and answers are attached.
Answer:
C
Step-by-step explanation:
The answer is c because 10.5 also equals up to 1,32300
The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.
What is an example of a cash account?
Cash accounts
A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.
What type of account is ideal for investment?A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.
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