Answer:
2. 8n. 8n. 8n. 8n
Step-by-step explanation:
[tex]2 {(8n)}^{4} = 2. 8n. 8n. 8n. 8n[/tex]
Equivalent expressions are expressions with equal value.
The equivalent expression of [tex]\mathbf{2\cdot(8n)^4}[/tex] is [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The expression is given as:
[tex]\mathbf{2\cdot(8n)^4}[/tex]
Apply law of indices
[tex]\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The above equation means that:
[tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex] is equivalent to [tex]\mathbf{2\cdot(8n)^4}[/tex]
Hence, the correct option is (d) [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
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Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
What are the relative maximums of the function: f (x) = x²-3x + 5
Answer:
(3/2,11/4)
Step-by-step explanation
-b/2a to find the axis of symmetry
3/2= axis of symmetry
Then plug that in to find the vertex/maximum or minimum
3/2^2-3(3/2)+5
9/4-9/2+5
You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)
So, 9/4-18/4+20/4
9/4-18/4= -9/4+20/4= 11/4
So the maximum is
(3/2, 11/4)
pls answer this it’s due
Answer:
The second to last choice
Step-by-step explanation:
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
y= -2/3x I need this please.
Answer:
x= -2/3 or x=-2/3y
Step-by-step explanation:
i assume this meant solve for x
start by setting the y value as 0 then isolate the x
What person, Matt or Jane, has a constant rate of pay, and what is it?
Answer: Jane
Step-by-step explanation: Her pay is going up by the same amount, 12, each time.
Answer:
Matt's pay is not linear
Jane's pay is linear, and it is $12/hour
Step-by-step explanation:
Matt's Earnings:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $8. From 2 hours to 3 hours, the difference in hours is again 1, but the difference in pay is $11. Since equal changes in x do not produce equal changes in y, Matt's earnings are not linear.
Jane's Earning:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $12. From 2 hours to 3 hours, the difference in hours is again 1, and the difference in pay is again $12. Since equal changes in x produce equal changes in y, Jane's earnings are linear.
Jane's rate of pay is $12/hour
Can 5x+5y be added together to make 10xy?
Answer:
no
Step-by-step explanation:
During one year, a family made 8 trips to the museum. The distance from their house to the 47 is miles. How many miles did the family drive in 8 trips?
Answer:
376
Step-by-step explanation:
47 times 8 would be the number of miles that the family took in 8 trips.
Please help I will brainliest!! Really urgent!!
For terms and like terms just put
LT:
T:
Answer:
Terms: 8, (-x²), x, (-4x)
Like terms: x and (-4x)
Step-by-step explanation:
A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.
Like terms are terms that have the same variables and power like x.
not sure need help
Answer:
192
Step-by-step explanation:
There are 2 ways of solving for <4
The first is just to add the 2 angles not connected to <4
<4 = 51 + 51 = 102
The second is to find <2 and take that away from 180
<2 + 51 + 51 = 180
<2 = 180 - 102
<2 = 78
<4 + <2 = 180 (They are supplementary
<4 = 180 - 78
<4 = 102
You hold a tape measure along the width of a picture frame. One end of the frame is 2 3/4 inches and the other end is at 10 7/16 inches. How wide is the frame in between
Answer:
Width = [tex]7\frac{11}{16}[/tex] inches
Step-by-step explanation:
Given
[tex]End_1 = 2\frac{3}{4}[/tex]
[tex]End_2 = 10\frac{7}{16}[/tex]
Required
Determine the width of frame in between
To do this, we simply calculate the difference between both ends:
i.e.
[tex]Difference = End_2 - End_1[/tex]
This gives:
[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]
Convert to improper number
[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]
Take LCM
[tex]Difference = \frac{167 - 44}{16}[/tex]
[tex]Difference = \frac{123}{16}[/tex]
[tex]Difference = 7\frac{11}{16}[/tex]
Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches
place an x in the table to show the percent decrease from the first number to the sound number. GIVING BRAINLIEST!!!
Answer:
Step-by-step explanation:
1. 150 to 132 is a decrease of 12%
2. 275 to 242 is a decrease of 12%
3. 300 to 255 is a decrease of 15%
Thanks For the Brainliest!
Answer:
1. 150 - 12% = 132
2. 275 - 12% = 242
3. 300 - 15% = 255
Which fraction is greater 7 out of 11 or eight out of 11
Answer:
8 out of 11
Step-by-step explanation:
i need help!! thank u!!
What's the addition property of 23 + 4 + 109 = 4 + 23 + 109
Answer:
I am confused on this question too
Step-by-step explanation:
Which of the following expressions is equal to In (4y?)?
Answer:
[tex]ln(4)+2\,\,ln(y)[/tex]
(the first option of the list)
Step-by-step explanation:
Using the properties of logarithms (first the logarithm of a product and then the logarithm of a power, we write:
[tex]ln(4\,y^2)=ln(4)+ln(y^2)=ln(4)+2\,\,ln(y)[/tex]
which agrees with the first option in the list of possible answers.
Which of the following exemplifies a research hypothesis? A. Democrats and Republicans have different attitudes toward gun control. B. Millennials and Gen-Xers have similar levels of anxiety. C. The driving habits of men do not differ from those of women. D. Liberals and conservatives have the same voting rates.
At noon, a tank contained 10cm of water. After several hours, it contained 7cm of water. What is the percent decrease of water in the tank?
does anyone know how to solve this inequality?
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[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]
Multiply sides by 12
[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]
[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]
[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]
[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]
[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]
[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]
Collect like terms
[tex](6 - 4)x + 2 > 3x - 9[/tex]
[tex]2x + 2 > 3x - 9[/tex]
[tex]3x - 9 < 2x + 2[/tex]
Add sides 9
[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]
[tex]3x > 2x + 11[/tex]
Subtract sides 2x
[tex] - 2x + 3x > - 2x + 2x + 11[/tex]
[tex]x > 11[/tex]
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Write an expression for the area and perimeter for the figure shown
Answer:
Area = 3x² + 7x + 3
Perimeter = 8x + 8
Step-by-step explanation:
The figure can be decomposed into two: a large rectangle and a smaller rectangle.
✍️Dimensions of the large rectangle:
Length = (x + 1) + x = x + 1 + x = (2x + 1)
Width = (x + 3)
Area = length × width
Area = (2x + 1)(x + 3)
Expand
2x(x + 3) +1(x + 3)
2x² + 6x + x + 3
Area = 2x² + 7x + 3
✍️Dimensions of the large rectangle:
Length = x
Width = x
Area = length × width
Area = x × x = x²
✍️Area of the figure = area of the large rectangle + area of the smaller rectangle
Area of the figure = (2x² + 7x + 3) + x²
Area of the figure = 2x² + x² + 7x + 3
✅Area = 3x² + 7x + 3
✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x
✅Perimeter = 8x + 8
can you help me with that
Answer: 55% or 11/20
Step-by-step explanation:
Find all 3-digit numbers which are 19 times the sum of their digits.
Answer:
The 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
Step-by-step explanation:
Let the 3 digit number be xyz
Since x is the Hundreds digit, y is the tens digit and z is the unit digit, we have;
100x, 10y and z
We are told the sum of this is equal to 19 times the sum of their digits.
Thus;
100x + 10y + z = 19(x + y + z)
100x + 10y + z = 19x + 19y + 19z
This gives;
81x - 9y - 18z = 0
Divide through by 9 to get;
9x - y - 2z = 0
x = (2z + y)/9
Now, we will need to select values of z and y between 0 to 9 in such a way that (2z + y) is divisible by 9 and in such a way that x > 0 but ≤ 10
The possible solutions are;
At z = 1, y = 7 and x = 1
At z = 2, y = 5 and x = 1
At z = 3, y = 3 and x = 1
At z = 4, y = 1 and x = 1
At z = 5, y = 8 and x = 2
At z = 6, y = 6 and x = 2
At z = 7, y = 4 and x = 2
At z = 8, y = 2 and x = 2
At z = 9, y = 0 and x = 2
At z = 9, y = 9 and x = 3
Compiling all these, the 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
HELP ME PLEASE!
Find the equation of the line.
Use exact numbers.
2.7 divided by 22.41
Answer:
[tex]\frac{10}{83}[/tex]
I hope this helps!
2/12= blank 48 help me please
Answer:
8/48
Step-by-step explanation:
the bottom they multiplied by 4 to get 48 so you do the same to the top so you get 8
Please help me on this
If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
Answer:
5/7
Step-by-step explanation:
Answer:
5/7
Step-by-step explanation:
Simplify (-32) = (-4).
O A. -8
O B. – 1/3
O C. 8
OD.
The line r represents f(x)=x-4/3.therefore,the line that represents f^-1 is ___ and f^-1(x)=____ x+____.
Answer:
f^-1 is P and f^-1(x) = 3x+4
Step-by-step explanation:
I did the work in my notebook but pretty much to find the inverse of [tex]\frac{x-4}{3\\}[/tex] you gotta do an equation and yeh its pretty simple.
The solution is , f^-1 is P and f^-1(x) = 3x+4.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
from the given figure, we get,
The line r represents f(x)=x-4/3.
so, we get,
f^-1 is P
let, y = f(x)
and, f^-1(y)=x
i.e. y = x-4/3.
3y=x-4
x=3y+4
so, f^-1(y) = 3y+4.
and f^-1(x) = 3x+4.
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At the time of her grandson's birth, a grandmother deposits 11,000 in an account that pays 5.5% compounded monthly. What will be the value of the account at the xhild's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
round to the nearest dollar
Answer:15,605
Step-by-step explanation:4000(1+.065/12)^21*12
4000(1+0054)^252