Answer:
6a³ + 4b²
Step-by-step explanation:
2a × a × 3a = 2 × 3 × a × a × a = 6a³
b × 4b = 4b²
putting these together gives 6a³ + 4b²
Hello!
Let's multiply the terms together.
First, let's multiply the a's.
[tex]\bold{2a*a*3a}[/tex]
[tex]\bold{2a^2*3a}[/tex]
[tex]\bold{6a^3}[/tex]
Step-by-step calculations:
2*3=6
a*a*a=a³
6*a³=6a³
Same with the b's:
[tex]\bold{4b^2}[/tex]
Calculations:
b*4b
b=1b
1*4
b*b
4b²
[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{\bf{6a^3~+4b^2}}}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper}[/tex]
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Answer:
448
Step-by-step explanation:
[(8x8)4]+[(8x10)2]
448
60 percent of $2million
Answer: $1,200,000
Step-by-step explanation:
50% would be 1 million, and 10% of 2 million would be 200,000, so if you add those two together, you get the total of $1,200,000
The radius of a circle is 6 kilometers. What is the circle's circumference?
Answer:
37.699km
Step-by-step explanation:
C=piDor2piR
D=2R(6×2)=12
C=22/7×12or2×22/7×6
ans=37.699
Please Help 20 Points
Answer:
3x^2+4x+1Step-by-step explanation:Given the polynomial function 4x + 3x^2 - 1Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.The term with the highest degree is 3x^2Followed by 4xThen the constant 1Adding according to the descending powersThe polynomial in descending order will be 3x^2+4x+1D is the answer:)I need help with question 5 please help me
Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
1. What is the probability that the first player does not get a blue character?
Answer:
The probability the 1st player does not get a blue chracter is 9/14.
Step-by-step explanation:
So there is a total of 14 characters.
9 of them are not blue
9/14 = .642857 (~64%, not the answer since it's not asking for percents)
The probability the 1st player does not get a blue chracter is 9/14.
I need help Solveing for X
Answer:
x = 57°
Step-by-step explanation:
23° + 100° + x = 180°
123° + x = 180°
-123 -123
x = 57°
Hope this helps!
WILL GIVE BRAINLIEST, 5 STARS, THANKS!!!
Someone please factors these four problems all with step-by-step explanations!! I really don't understand how to do any of them, please help!!!
3x^2 + 10x+ 8
18x^2+39x-15
16x^2-25
6x^2-11x-10
PLEASEEEEE help me...!
Answer are in order:
[tex]\left(3x+4\right)\left(x+2\right)[/tex]
[tex]3\left(3x-1\right)\left(2x+5\right)[/tex]
[tex]\left(4x+5\right)\left(4x-5\right)[/tex]
[tex]\left(3x+2\right)\left(2x-5\right)[/tex]
Step-by-step explanation:
[tex]3x^2 + 10x+ 8[/tex]
[tex]\mathrm{Break\;the\;expression\;into \;groups}[/tex]
[tex]=\left(3x^2+4x\right)+\left(6x+8\right)[/tex]
[tex]\mathrm{Factor\;out\;x\;from\; 3x^2+4:}x(3x+4)[/tex]
[tex]\mathrm{Factor\;out\;2\;from\;6x+8:2(3x+4)}[/tex]
[tex]=x\left(3x+4\right)+2\left(3x+4\right)[/tex]
[tex]=\left(3x+4\right)\left(x+2\right)[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]18x^2+39x-15[/tex]
[tex]\mathrm{Factor\;out\;common\;term\;3:3(6x^2+13-5)}[/tex]
[tex]18x^2+39x-15[/tex]
[tex]\mathrm{Factor\;6x^2+13x-5:(3x-1)(2x+5)}[/tex]
[tex]=3\left(3x-1\right)\left(2x+5\right)[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]16x^2-25[/tex]
[tex]\mathrm{apply\;exponents\;rules}[/tex]
[tex]=\left(4x\right)^2-5^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]\left(4x\right)^2-5^2=\left(4x+5\right)\left(4x-5\right)[/tex]
[tex]=\left(4x+5\right)\left(4x-5\right)[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]6x^2-11x-10[/tex]
[tex]\mathrm{Break\;the\;expression\;into\;groups}[/tex]
[tex]=\left(6x^2+4x\right)+\left(-15x-10\right)[/tex]
[tex]\mathrm{Factor\;out\;2x\;from\;6x^2+4x:2x(3x+2)}[/tex]
[tex]\mathrm{Factor\;out\;-5\;from\;-15x-10:-5(3x+2)}[/tex]
[tex]=2x\left(3x+2\right)-5\left(3x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}3x+2[/tex]
[tex]=\left(3x+2\right)\left(2x-5\right)[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Learn with Lenvy~
A hollow post is made out of a lightweight aluminum alloy that is 1.5 cm thick. The alloy is folded into the shape of a right rectangular prism measuring 9 cm by 9 cm by 28 cm. Find the total volume of alloy in the post. Round your answer to the nearest hundredth if necessary.
The total volume of alloy in the post is about 900 cm³
What is a volume?
Volume is the amount of space occupied by a three dimensional shape or object.
Volume = length * width * height
The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.
Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:
Volume = 6 * 6 * 25 = 900 cm³
The total volume of alloy in the post is about 900 cm³
Find out more on volume at: https://brainly.com/question/12410983
Answer:
1837.5
Step-by-step explanation:
I jut did it
Question 9 of 25
Which parent function is represented by the graph?
104
10
10
-10
A. The absolute value parent function
B. The linear parent function
C. An exponential parent function
D. The quadratic parent function
The given function is an exponential parent function the correct option is C.
What is the exponential parent function?Algebraic expressions appear in the exponent of exponential functions. The formula for their parent function is y = bx², where b is any nonzero constant. The graph of the parent function, y = ex².
In the graph, we can see that the function is varying exponentially from -10 to 10.
Therefore, the given function is an exponential parent function the correct option is C.
To know more about an exponential parent function follow
https://brainly.com/question/2456547
#SPJ2
What is The longest line segment that can be drawn in a right rectangular prism that is 13 cm long 12 cm wide and 11 cm tall
Answer:
13√2
Step-by-step explanation:
The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:d =√(152 + 82 + 72) = √338 = √(169 * 2) = 13√2 cm.
An expression is shown below (x^4/3)(x^2/3). What is the product of the two factors?
Answer:
x^2
Step-by-step explanation:
(x^4/3)(x^2/3)
When we multiply the exponents with the same base, we add the exponents
x^(4/3+2/3)
x^(6/3)
x^2
I do need help with this problem that includes pi. ^_^
Solution:
Note that:
Circumference = 50.24 ft = 2πr = πdDia. = 16 ft.Divide the diameter both sides.
50.24 ft = πd=> 50.24/d ft = πd/d=> 50.24/d ft = πSubstitute the diameter in the equation.
=> 50.24/16 = π (Option A)A restaurant uses 4⁄5 ounce of gravy for each serving of meat loaf. If 45 people ordered meat loaf, how much gravy will the restaurant need in ounces?
Answer:
The correct answer is 36 ounces
Step-by-step explanation:
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
*show work & will give brainliest*
Answer:
598,402
Step-by-step explanation:
Let y = population at year x
x is the number of years since 1953, so for 1993, x = 40
a = population in 1953
y = a(1.08)^x
In 1993, the population is 13,000,000, so y = 13,000,0000 when x = 40.
13,000,000 = a(1.08)^40
13,000,000 = 21.7245a
a = 598,402
Answer: 598,402
This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box. Will give Brainiest to FIRST CORRECT answer!!
Answer:
what is the answer
Step-by-step explanation:
I'm doing the test right now
What is the factorization of 49b2 − 81? (7b – 9)(7b – 9) (7b – 9)(7b 9) (7b2 – 9)(7b2 – 9) (7b2 – 9)(7b2 9).
answer : (7b+9)(7b-9)
ASAP!
Emma invested $750 in an account paying an interest rate of 1. 9% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $910?
Answer:
the answer is 2.6 show in the workings below
.
C = 4+0. 10t what is the charge to rent a paddle boat for 20 minutes?
what’s 34 + 2x = 49??? I NEED HELP
Answer:
x = 7.5
Step-by-step explanation:
Use algebraic manipulation (and remember that anything you do to one side must be done to the other, in most cases):
34 + 2x = 49
-34 -34
2x = 49 - 34
2x = 15
x = 7.5
James had $400 in his bank account. After
paying bills for 4 months, his balance is now
$160. What is his rate of change in dollars per month?
A.40
B.-40
C.60
D.-60
Answer:
C
Step-by-step explanation:
400-160=240
240/4=60
USing the net below, Find the surface area of the triangular prism.
Answer:
Area of a triangle=1/2bh
>>1/2×3×6=9
Area of rectangle=L×B
=7*6=42
=7×4=28
Surface Area=2(9)+2(42)+2(28)
=18+84+56=158cm^2
Can someone help with this math problem pleaseeee
Explanation:
The square root undoes the squaring operation.
Think of a square that is 1 ft by 1 ft. Its area would be 1*1 = 1 sq ft.
Now imagine you told your friend "the area is 1 sq ft" and you didn't relay the side lengths. Your friend would use the square root to find the side length is 1 ft.
I'm not sure why your teacher is using plus minus notation when that is not correct. Saying [tex]\sqrt{1} = \pm 1[/tex] is not true. The result of a square root is simply one value only. If your teacher meant [tex]\pm \sqrt{1} = \pm 1[/tex], then it would be a true statement; however, there's no need to involve negative numbers for this problem.
The cost of an afternoon movie ticket was $4.00.
This year an afternoon movie ticket costs $5.00.
What is the percent increase of the ticket from last
year to this year?
A. 10%
B. 20%
C. 25%
D. 40%
Answer:
c
Step-by-step explanation:
25% of 4 or 4 divided by 4 is 1. 1+4 is 5
What is 300 x 2? Thank you!
Answer: 600!
Step-by-step explanation:
Which of the following equations would produce a parabola? Check all that apply. –5x2 4x – 7y 14 = 0 –x2 6x y2 – 8 = 0 9x2 – 12xy 4y2 4x – y 5 = 0 12x 6y – 5y2 14 = 0 20x2 10xy – y2 3x – 6y 5 = 0.
Equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.
Given equations are:
[tex]1)-5x^2+4x-7y+14 = 0\\\\2)-x^2 + 6x +y^2-8=0\\\\3)9x^2-12xy+4y^2+4x-y+5=0\\\\4)12x+6y-5y^2+14=0[/tex]
What is the general equation of a parabola?The general equation of a parabola
[tex]y = a(x^2+h^2-2xh)+k\\[/tex] or [tex]x= a(y^2+k^2-2yk)+h[/tex]
where h and k are vertices of the parabola.
Each equation follows the same pattern as the general equation of a parabola except the second and third equation
Therefore, equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.
To get more about parabola visit:
https://brainly.com/question/4148030
Answer:
A. –5x2 + 4x – 7y + 14 = 0
C. 9x2 – 12xy + 4y2 + 4x – y + 5 = 0
D. 12x + 6y – 5y2 + 14 = 0
I got it right on edge trust me
Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?
(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4)
u2 – (u – 4) – 6 = 0 where u = (x – 4)
u2 – 16 – u – 6 = 0 where u = (x – 4)
u2 – u – 6 = 0 where u = (x – 4)
Answer:
see below.
Step-by-step explanation:
letting u = x - 4 means the equation can now be expressed as a quadratic
u² - u - 6 = 0 ← quadratic equation in u
Answer: (D)
Step-by-step explanation:
What is the value of the expression?
A++
1
A
mloo Loonloon
(B)
32
Step-by-step explanation:
1) Simplify the fractions....
\begin{gathered}2^{-3} = 1/8\\2^{-2} = 1/4\end{gathered}
2
−3
=1/8
2
−2
1/8 + 1/4 = 3/8
Hope its Helps youWhat is the solution of startroot negative 4 x endroot = 100? x = –2500 x = –50 x = –2.5 no solution
Hey there!
-√4x = 100
WELL….
-√4 = -2
NEW EQUATION:
-2x = 100
DIVIDE -2 to BOTH SIDES
-2x/-2 = 100/-2
CANCEL out: -2/-2 because it give you 1
KEEP: 100/-2 because it help solve for the x-value (mainly give you it)
NEW EQUATION: x = 100/-2
SIMPLIFY IT!
x = -50
Therefore, your answer is: x = -50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
B-X=-50
Step-by-step explanation:
Sammy starts with $50 in her saving account and adds $50 each week. Write an equation that Sammy can use to show how much money she has after a certain number of weeks
Known facts:
50 dollars is the initial amount in the saving account50 dollars is added every week into the savings account.Variables:
x: # of weeksy: total amount of money in savingsSet equation based on known facts and variables:
y = 50x + 50, 50x is the rate at which it grows depending on
the week and 50 is the initial amount there
Hope that helps!