Answer:
16x^10+16x^8+4x^6
The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10[/tex].
when we combine all the like terms.
To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.
Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:
[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]
Simplifying each term:
[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]
Combining like terms, we have:
[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]
Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]
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Full Question
Expand and combine like terms: (2x^3+4x^5)^2 by simplication.
(No graph needed)
Which of the following is the correct way to state the similarity between these two figures?
A.) ABCDE ~ YXVZW
B.) ABCDE ~ VWXYZ
C.) ABCDE ~ VZWYX
D.) ABCDE ~ ZWYXV
Answer:
ABCDE is similar to the ZWYXV
helpppppppppppp mathhhhhhhhhhhhhhhhhh
Answer: I am not completly sure about this but I think it is D
6/15=3/x
HELPP PLEASE
Answer:
15/2 or 7.5 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{6}{15} = \frac{3}{x}[/tex]
simply cross multiply
[tex]6x = 45[/tex]
divide both sides by 6
[tex]\frac{6x}{6} = \frac{45}{6}[/tex]
hence x will be equal to [tex]7.5[/tex]
Is it required to for it to be in decimals?
The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 192 square centimeters?
Answer:
Width = 16 cm
Length = 12 cm
Step-by-step explanation:
Let the width of the rectangle be represented as x
Width = x cm
Length = (x - 4) cm
Area = L*W = 192 cm²
Thus:
x * (x - 4) = 192
x² - 4x = 192
x² - 4x - 192 = 0
Factorize
x² - 16x + 12x - 192
x(x - 16) +12(x - 16)
(x - 16)(x + 12)
x = 16 or x = -12
Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm
Width = x = 16 cm
Length = (x - 4) cm = (16 - 4) = 12 cm
Which of the following is equivalent to (a + b/2) ^2?
2a + 2* 4/b
2a + 4/b + 4/b^2
a^2 + 4ab + 4b^2
a^2 + 4a/b + 4b^2
a^2 + 4a/b + 4/b^2
Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is the algebraic expression as -
(a + b/2)²
We can write -
(a + b/2)² = a² + (b/2)² + 2 × a × b/2
(a + b/2)² = a² + (b/2)² + ab
(a + b/2)² = a² + b²/4 + ab
Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
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A builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. How many acres does the builder buy? *
X. X. X
X X. X
X. X. X
X. X x
X. X x
X 2/6 3/6
X
X
X
X
X
1/6
Answer:
can you send me a pic of how it looks because it's confusing to understand
Three train stations, A, B and T are built along a straight train track, so that Tis of the distance from A to . Which situation represents the function (m) - Im?
the number of miles between train stations A A and B. it train stations A and Tare miles apart
B O the number of miles between train stations A and B. if train stations and are miles apart
C the number of miles behiveen train stations A and T. If train stations A and Barem miles apart
D the number of miles between train stations and train stations A and B are miles apart
Laura invested $2000 in a three-year CD that pays 4% compounded annually.
What is the compound interest rate and amount that will be in the bank after
3 years?
Answer:
Formula: A=P(1+[tex]\frac{r}{n}[/tex][tex])^{n times t}[/tex]Step-by-step explanation:
P= 2000 R= 0.04 aka 4% N= 1 (annually is once a year) T=3 years
2000 (1 + [tex]\frac{0.04}{1}[/tex][tex])^{1 times 3}[/tex]
Put this is in the math website desmos: 2000 (1 + [tex]\frac{0.04}{1}[/tex][tex])^{1 times 3}[/tex]
And your answer should be: A= $2249.728
The ferris wheel ride at the carnival has 15 cars. Each car holds 2 people. Let n represent the number of people on the ride at any one time.
Q: Which of these expressions best describes n?
a. n ≤ 15
b. n = 30
c. n ≥ 15
d. n ≤ 30
Find the slope of the line
O 1/3
O 6/2
0 -3/1
03/1
Answer:
6/2
Step-by-step explanation:
The slope of the given line is 3/1, Option D is correct.
The given line is passing through the points (1, 3) and (-1, -3)
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Plug in the values of points (1, 3) and (-1, -3) in the formula.
m= -3-3/-1-1
=-6/-2
Divide numerator and denominator by 2
We get 3
Slope of the line is 3.
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20+ POINTS!!!
ATTACHMENT!!!!!
Answer:
D
Step-by-step explanation:
I say D because if you just multiply each number on there you get 210.
HURRY!!! GIVING BRAINLIEST!!
Please need help thank
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
It has the most x's (rolls) compared to the other numbers rolled.
Please help me I don’t understand
Graph the compound inequality on the number line. x < -5 or x>0
the answer is in the image look at the image to see
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP IVE BEEN WORKING ON THIS ALL DAY BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) Base RP, and height TQ
2) 56 in²
Step-by-step explanation:
1) Base RP, and height TQ
2) 56 in²
triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.
Answer:
Step-by-step explanation:
ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]
Find the volume.
# 1
Answer:
50 m
Step-by-step explanation:
Formula:
V = lwh
V = (5)(4)(5/2)
V = 20 (5/2)
V = 50
please help I will give Brainliest even if its old I still need answers please.
Answer:
Mean: 64
Median: 64
Mode: 65
Range: 8
Step-by-step explanation:
Mean: add up all the numbers and divide by how many numbers there are
Median: write them out in lowest to highest and cross off from both ends
Mode: the number that shows up the most
Range: Subtract the highest from the lowest
Here are two expressions with a missing number -5/9
h
a) Use your calculator to work out 18^2 - 7.9
46 - 1.8^3
Write down all the figures on your calculator display.
Answer:
I suggest PHOTO MATH app for that question download mo po:)
Answer:
a) 49.87517031
b) 49.88
Step-by-step explanation:
Use a calculator
For the following right triangle, find the side length x.
e the problem ose swims for 20 minutes. He rides his bike for 15 minutes longer than he swims. Then he walks his dog for 30 minutes. How long does it take Jose to swim, bike, and walk his dog? 85 minutes
Answer:
65 minutes
Step-by-step explanation:
20+15=35
35+30=65
3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
Answer:
You cant, because Ben is WRONG, unless you made a typo while writing the question
Step-by-step explanation:
If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.
Hope this helped! If it did, please mark it brainliest! It would help a lot! :D
I need help please help
Answer:
76.93 ft^2
Step-by-step explanation:
it equals the whole circle's are divided by 2
How can I solve the following systems using Gaussian elimination method, w+2x-y=4, x-y=3 , w+2x-2y=7 2u+4v+w+7x=7?
Which range best describes the possible number of cells in one organism , from the very smallest organism to the very largest ?
Answer:
ant to a wale
Step-by-step explanation:
PLEASE HELP ASAP I WILL MARK BRAINLIEST!
Select ALL the expressions that are equivalent
A. 2 +6k
B. 16k + 18
C. 8k-2
D. 6k+2
Answer:
b a d
Step-by-step explanation:
Answer:
B & D
Step-by-step explanation:
pls give crown
What does it mean to solve an equation
y+=5
Complete the satements
The valabile in the ention is represented by
to solve the equation you must find the
1 is a solution of the equation because
frat makes the equation te
satue statement
9514 1404 393
Answer:
yvalue of y1+4=5Step-by-step explanation:
In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:
___ + 4 = 5
In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.
y + 4 = 5
__
To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.
__
1 goes in the blank to make the original statement true:
1 + 4 = 5
1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.