The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are as 3y⁻⁴ and 2y⁻⁴.
The product of these two will be
[tex]\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}[/tex]
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
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The result of the product expression [tex](3y ^{-4}) (2y^{-4})[/tex] is 6/y^8
How to determine the product?The product expression is given as:
(3y ^{-4}) (2y^{-4)
Rewrite the expression properly as:
[tex](3y ^{-4}) (2y^{-4})[/tex]
Rewrite the factors of the expression as fractions
[tex]\frac{3}{y ^4} * \frac{2}{y^4}[/tex]
Multiply 3 and 2
[tex]\frac{6}{y ^4*y^4}[/tex]
Apply the law of indices
[tex]\frac{6}{y ^{4+4}}[/tex]
Add 4 and 4
[tex]\frac{6}{y ^{8}}[/tex]
Hence, the product of [tex](3y ^{-4}) (2y^{-4})[/tex] is [tex]\frac{6}{y ^{8}}[/tex]
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If Event A is "the card is a face card" and Event B is "the card is a spade," demonstrate the equation holds true.
/ 52 = / 13 × / 52
The demonstration of the equation is an illustration of probability
The complete demonstration of the equation is:
3/52 = 3/13 * 13/52
How to demonstrate the equationIn a standard deck, we have the following parameters:
Event A = Face card = 12
Event B = Spade =13
Number of cards = 52
So, the probability that a card is a spade and a face card is:
P(A and B) = P(A) * P(B)
This gives
P(A and B) = 12/52 * 13/52
Simplify
P(A and B) = 3/13 * 13/52
Further simplify
P(A and B) = 3/1 * 1/52
Multiply
P(A and B) = 3/52
So, the complete demonstration of the equation is:
3/52 = 3/13 * 13/52
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Video game: $70 Sale: 5% off What is the new cost of the video game?
Answer:
$66.50
Step-by-step explanation:
Given Us that:
⇒ Video game: $70 Sale: 5% off
To Find:
What is the new cost of the video game?
Note:
Off ⇒ Discount ⇒ decrease ⇒ subtract
5% = 0.05
Solve:
⇒ $70 × 0.05 = 3.50
⇒ $70 - 3.50 = 66.50
Hence, New cost of the video games → $66.50
~Learn with Lenvy~
Hey can someone give me answers for this page pls
Answer:
Step-by-step explanation:
The ratio= 1:4
Solve the equations for the given variable then place the equations in the table under the correct solution
Step-by-step explanation:
X = 3
-14x=-42
-3/5 + x=12/5
X-5=-2
X/4=6/8
X= -3
-6+x=-9
X/3=9
through (4, -1), parallel to y=-3/4x
Do anyone know how to do algebra 1 ixl . I really need help .
help please really confused
Answer:
A and C (integers are whole numbers, so NOT fractions or decimals.)
Step-by-step explanation:
Answer:
A, C and E
Step-by-step explanation:
Integers are whole positive or negative numbers.
Somebody help me with this please
Answer:
[tex]\tt x=32.8[/tex]
Step-by-step explanation:
Given: Figare
Find: x
[tex]\tt Tan(61)=\cfrac{59}{x}[/tex][tex]\tt 1.804=\cfrac{59}{x}[/tex][tex]\tt x=\cfrac{59}{1.804}[/tex][tex]\tt x=32.8[/tex]~
Solve the system of equations using elimination.
Answer:
(69/40 , 7/11)
Step-by-step explanation:
multiply the bottom equation by 2
-4x + 8y = 12
4x+3y=-5
cancel out both 4x
8y+3y=11y
12+ -5 = 7
11y=7
divide both sides by 11
y=7/11
substitute that in for y
4x + 3(7/11) = -5
4x + 21/11 = -5
4x = -69/10
x= 69/40
Antonio has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly. Antonio will pay each of them back by making monthly payments, starting as he graduates. Antonio’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 5,894 6. 9 Y Senior 5,258 7. 5 N Once all of his loans are paid off, what will Antonio’s total lifetime cost be? Round all dollar values to the nearest cent. A. $16,246. 80 b. $17,804. 40 c. $7,593. 16 d. $9,874. 76 Please select the best answer from the choices provided A B C D.
Antonio’s total lifetime cost will be $11680.99 after calculating all loans
What will be Antonio’s total lifetime cost?Given that
Loan Amount ($)
5,894$
5,258$
Interest Rate (%)
6.9%
7.5%
Now for the loan amount 5,894$ at 6.9% interest, the amount will be
[tex]A=P(1+\dfrac{r}{h} )^{n\times t}[/tex]
[tex]A=5894(1+\dfrac{0.069}{12} )^{12\times 10}[/tex]
[tex]A=5894\times(1.00575)x^{120} =11727.76[/tex]
Now for the loan amount 5.258$ at 7.5% interest, the amount will be
[tex]A=5258(1+\dfrac{0.075}{12} )^{12\times 10}[/tex]
[tex]A=5258\times2.1120=111105.23[/tex]
So the total lifetime cost will be
[tex]=11727.76-5894+111105.23-5258=11680.99[/tex]
Thus Antonio’s total lifetime cost will be $11680.99 after calculating all loans
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Answer:
a. $16,246.80
Step-by-step explanation:
EDGE
The radius of a semicircle is 1 cm.Whats the semicircles area?
Step-by-step explanation:
Area=1/2(πr^2)
= 1/2 × 22/7 × 1^2
=11/7=1 4/7cm^2
7. How much orange juice will it in a can with a radius of 2 inches and a heigh of 6 inches?
Answer:
Vol = 75.36 in^3
Step-by-step explanation:
A can is a cylinder. The volume of a cylinder is:
V = pi•r^2•h
Your radius is 2 inches. And height given is 6 inches.
V = pi•2^2 •6
V = (3.14)4(6)
V ~= 75.36 cubic inches
If you need a different unit like ml or oz. please comment, will edit.
Hope this helps!
Mark me the Brainliest! tysm!
Construct a quadrilateral MINT such that MI= 5cm, IN = 6cm, NT = 7cm, TM=3cm and MN =9cm
From the given dimensions, of MI, IN, NT, TM, and MN, the quadrilateral
MINT can be drawn as shown in the attached image.
What are the steps for the construction of MINT?The given dimensions of the quadrilateral MINT are;
MI = 5 cm
IN = 6 cm
NT = 7 cm
TM = 3 cm
MN = 9 cm
The side MN is a diagonal of MINT, therefore;
ΔMIN, and ΔMTN are triangles with a common base = MN
The steps to construct MINT are therefore;
Step 1; Draw the line MN = 9 cm.Step 2; Place the compass at point M and with a radius MI = 5 cm, draw an arc on one side of MN.Step 3; Place the compass at N and with radius IN = 6 cm, draw an arc to intersect the arc dawn in step 1 above.Step 4; Place an arc at point M and with radius TM = 3 cm draw an arc on the other side of MN.Step 5; Place the compass at point N and with radius NT = 7 cm, draw an arc to intersect the arc drawn in step 3.Step 6; Join the point of intersection of the arcs to points M and N to complete the quadrilateral MINT.Please find attached the drawing (showing the construction arcs) of the
quadrilateral MINT created with MS Word.
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please help, its easy :)
Answer:
1: 5/20 2: 1 2/20
Step-by-step explanation:
multiply ti to get 20 and multiply the numerator with it
I was just wondering what 1/2-1/6 is as a fraction?
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His answer is 3.5
Answer:
13
Step-by-step explanation:
For this problem, work backwards to determine what the starting number was. Take 3.5 and multiply it by 3 to get 10.5, then subtract 4 to get 6.5. Finally, multiply 6.5 by 2 to get the starting number, which is 13. To check your work, you can always take 13 and perform the operations to make sure you end up with 3.5.
Hopefully this helps- let me know if you have any questions!
The model represents a perfect square monomial. an algebra tile configuration showing only the product spot, which has 4 tiles in 2 columns with 2 rows. first row: 2 x squared. second row: 2 x squared. what equation is represented by the model? (2x)2 = 4x2 (2x2)2 = 4x4 (4x)2 = 8x2 (4x2)2 = 8x8
A perfect square is an expression that factors into two other expressions that are identical. The equation that represents this model is (2x)²=4x².
What is a perfect square monomial?
A perfect square is an expression that factors into two other expressions that are identical. A monomial is a single phrase made up of a product of constants, variables, and their positive integer powers. As a result, a perfect square monomial is a monomial that factors into two monomials that are identical.
As given to us that the first row consists of tile 2x², and the second row also consists of tile 2x². Thus, the expression can be written as,
[tex]2x^2+2x^2\\\\=(2x)^2=4x^2[/tex]
Hence, the equation that represents this model is (2x)²=4x².
Learn more about Perfect square Monomial:
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Answer:
A
Step-by-step explanation:
2022
What is the positive solution to the equation:
x^2=64
WILL RECEIVE BRANLIEST IF YOU EXPLAIN YOUR ANSWER
Answer:
x=8 or -8
Step-by-step explanation:
64 squared = 8 or -8
8x8=64
-8x-8 = 64
Answer:
Take the root of both sides and solve.
x=8,−8
Step-by-step explanation:
What is the solution set for 2x^2+15=-11x
Answer:
x = {-3, -2.5}
Step-by-step explanation:
Simplifying
3 + x = 0
Solving
3 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3
Combine like terms: 0 + -3 = -3
x = -3
Simplifying
x = -3
Simplifying
5 + 2x = 0
Solving
5 + 2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5
Combine like terms: 0 + -5 = -5
2x = -5
Divide each side by '2'.
x = -2.5
Simplifying
x = -2.5
Answer: 11
Step-by-step explanation:
The age of the father is 42, the age of the son is 9. After how many years will the father be twice as the age of the son?
Answer:
24 years
Step-by-step explanation:
First, I will set up an equation.
2(9 + x) = 42 + x
18 + 2x = 42 + x
x = 24
9 + 24 = 33
42 + 24 = 66
66 is 2 times 33.
An $80 printer is selling for 37.5% off, find the final price of the printer if sales tax is 5.5%
PLEASE SHOW HOW TO DO IT
Answer: $54.40
Step-by-step explanation: 37.5%-5.5% = 32% off $80-32% = $54.40
HELP O_O
Find the Roots of the polynomial equation!!!
2x^3+2x^2-19x+20=0
Answer:
Your given polynomial has only one real root which is x= -4
Step-by-step explanation:
find any zero of the polynomial.
x-a divides the polynomial where a is a zero of polynomial:
So x+4 divides [tex]2x^{3} +2x^{2} -19x+20[/tex]
If we factor out a two, we can use the quadratic formula.
2(x^2-3x+2.5) so we have x = (-(-3)+/-(9-4*1*2.5)^(1/2))/2*1)=(3+i) or (3-i)/2 .
Final answer:
[tex]2x^{3} +2x^{2} -19x+20=0[/tex]
then x=-4, (3+i)/2, or (3-i)/2
Graph attached
Zeros are the x intercepts
Only one real zero -1.047Convert 80 gallons into liters. Round your answer to the nearest whole number.
Sam Martin makes $7 per hour and works 40 hours per week. What would be the amount of his bi-weekly gross paycheck?What would his gross yearly income be?He is single, with no dependents. Figure the following amounts that will be
deducted from his paycheck.
A. Medicare: ______________________________
B. Social Security: __________________________
C. Federal Income Tax: ______________________
D. Additional State Withholding: ____________
What would his bi-weekly net pay be?
What is the total amount deducted from his paycheck?
Answer:
Sam would make about 13,440 per year.
His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.
In a highway building project, 32 miles of a new highway have been
completed. This is three miles less than one third of the entire length.
How long will the new highway be when completed?
Answer: 105 miles
Step-by-step explanation:
You can write an equation for this problem and solve it.
32 miles=1/3x-3, where x is equal to the total length of the highway.
35=1/3x, and then you multiply by 3, to get x=105
The table shows the favourite type of film for 20 people
Answer:
??????????
Step-by-step explanation:
6.) Which expression is equivalent to b^-4?
There are no options.
Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} } .[/tex][tex]\frac{1}{b^{4} }[/tex] <------------- only expression created by this rule.
This is best possible, there should be answer displayed.Answer:
Step-by-step explanation:
The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.
Recall that:
1
------------- = a^(-n)
a^n
1
Therefore, b^(-4) = --------------
b^4
Heights of Basketball Players (inches)
Mean = 78.8
MAD = 2.4
Heights of Soccer Players (inches)
Mean = 71.9
MAD = 2.2
Difference in means = 6.9
Which statement is true?
A.) The difference between the mean heights is approximately equal to the MAD of the data sets.
B.)The difference between the mean heights is approximately 2 times the MAD of the data sets.
C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.
D.)The difference between the mean heights is approximately 4 times the MAD of the data sets.
hurry hurry!!!
Answer:
b is my answer and that's it
Answer:
C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.
Step-by-step explanation:
just took it on edge
Guys, I’m giving you at least 100 points for you to answer to my last week of my math and geometric word problem homework paper. So guys, please listen up and pay attention to me without ignoring my last month’s math and geometric word problem homework paper for no reason! :D
There are 2 remaining geometric word problem questions that you need to answer in order for you to get a Brainliest award if your answers are the best with the best efforts and explanations.
The question #8 is the length of a rectangle is 30 centimetres less than three times the width. The perimeter of this rectangle is 180 centimetres. What are the dimensions of this rectangle?
word problem questions that you need to answer in order for you to get a Brainliest award if your answers are the best with the best efforts and explanations.
The question #9 is the perimeter of a triangle is 480 metres. The second side is 3 times the first and the third side is 60 metres more than the second. Please help me in order to find the dimensions of this triangle.
Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering 2 remaining of my geometric word problem questions of my last week math and geometric word problem homework paper in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
8) width = 30 cm
length = 60 cm
9) first side = 60 m
second side = 180 m
third side = 240 m
Step-by-step explanation:
Question 8
Let W = width
Given:
length of a rectangle is 30 cm less than 3 times the width⇒ Length = 3W - 30
Given:
Perimeter = 180 cmPerimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Substituting equation for length into the equation for the perimeter and solving for W:
Perimeter = 2W + 2L
⇒ 180 = 2W + 2(3W - 30)
⇒ 180 = 2W + 6W - 60
⇒ 240 = 8W
⇒ W = 30 cm
Substitute found value of W into the equation for length and solve for length:
⇒ Length = 3(30) - 30
⇒ Length = 90 - 30
⇒ Length = 60 cm
Question 9
Given:
The second side is 3 times the first and the third side is 60 m more than the second.Let x = first side
⇒ second side = 3x
⇒ third side = 3x + 60
Given:
Perimeter of triangle = 480 mPerimeter = sum of length of all sides
⇒ 480 = x + 3x + 3x + 60
⇒ 420 = 7x
⇒ x = 60
Therefore,
first side = 60 m
second side = 3 × 60 = 180 m
third side = 3(60) + 60 = 240 m
width be x
length=3x-30
Now
2(3x-30+x)=1804x-30=904x=120x=303x-30=60°#2
sides be x,3x,3x+60
Now
x+3x+3x+60=4807x=420x=60°Hence
3x=1803x+60=240what's the answer for this 2k2+5k+3
Answer:
Step-by-step explanation:
There's no such thing as answer for this, as this is an algebraic expression.