Answer:
Steps are shown
Step-by-step explanation:
Exponent Rules
We need to recall this fundamental rule for exponents:
[tex]\displaystyle \sqrt[n]{a^m}=a^{m/n}[/tex]
We are given the expression:
[tex]f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}[/tex]
We'll use algebra and the above rule to manipulate the expression.
First, get rid of the unit Hz and move the coefficient 440 to the left:
[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}[/tex]
Now we convert the radical into an exponent form:
[tex]\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}[/tex]
Substitute:
[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}[/tex]
This is the very same expression in formula 2, as required.
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
Point M is the midpoint of A and B
What are the coordinates of point B?
Answer:
(6, 7) is where B is.
Step-by-step explanation:
If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.
This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.
#teamtrees #WAP (Water And Plant)
Solve the following equation for y. Hint: Get y alone on one side of the equation.
4x + 2y = 4
A.
y = -2x + 2
B.
y = -4x - 4
C.
y = 2x + 2
D.
y = x - 1
Answer:
y = 2 - 2x
Step-by-step explanation:
Answer:
A. y = -2x + 2
Step-by-step explanation:
4x + 2y = 4
Move 4x to the other side of the equation.
2y = 4 - 4x
Divide the whole thing by 2 to get y by itself.
y = 2 - 2x
which can also be written as
y = -2x + 2
Hope this helps! :)
A full strip plus another half of a strip of staples contains 315 staples
Answer:
[tex]210 staples[/tex]
Step-by-step explanation:
Lets solve this equation:
[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]
Combine terms:
[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]
[tex]x=315*\frac{2}{3}[/tex]
[tex]x=210[/tex]
So a full strip contains 210 staples.
Hope this helps :D please hit the crown
Calculate the experimental probability of flipping a coin 25 times, and getting heads 8 times.
Answer:
68 percent
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
This table gives a few (x, y) pairs of a line in the coordinate plane.
x...........y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Answer:
(22, 0)
Step-by-step explanation:
I got it right on khan
64°
70°
to
Find the value of x.
x=134°
Step-by-step explanation:
180-(64+70)=46
x=180-46
x=134°
Answer:
134*
Step-by-step explanation:
64 + 70 should equal x but to make sure:
180-64-70= 46 then 180 - 46= 134 so yes
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.
Answer:
24
Step-by-step explanation:4x6
Answer:
24
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...
Answer:
the pattern is +2, +6, +10, +14, +18 etc
so its in increment of 4
the rest is trivial
Step-by-step explanation:
Answer:
[tex]u_{n} = 2n^{2} -4n-3[/tex]
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
What are three consecutive even integers whose sum is 66
Answer:
21,22,23
Step-by-step explanation: i love fried chicken look at my skin color
Answer:
Smallest integer: 20
Middle integer: 22
Largest integer: 24
Step-by-step explanation:
Denote the smallest integer as "x"; hence the next integer will be "x + 2", and the third will be "x + 4".
Using the information, set up an equation:
x + x + 2 + x + 4 = 66
Simplify
x + x + 2 + x + 4 = 66
3x + 6 = 66
Inverse operations
3x + 6 = 66
-6 -6
3x = 60
/3 /3
x = 20
Smallest integer: 20
Middle integer: 22
Largest integer: 24
Marisa made 60 mums for homecoming. These mums took 48 hours to make. Each mum takes the same amount of time to make. How many hours will it take Marisa to make 20 mums?
Answer: 25
Step-by-step explanation: 60/48=1.25, 1.25 x 20=25
Write 36 as a Product of is prine
numbers
Write the factors in order, from smallest
to largest
36
Answer:
Step-by-step explanation:
Factors of 36 = 1 2 3 4 6 9 12 18 36
the Prime Factors of 36 are: 2, 2, 3, 3.
This is the answer
Answer:
36 = 2*2*3*3
or
2^2 * 3^2
Step-by-step explanation:
Break 36 into prime factors
36 = 6*6
Since 6 isn't a prime number, factor 6
36 = 2*3 * 2*3
2 and 3 are prime numbers
In order from smallest to largest
36 = 2*2*3*3
or as exponents
36 = 2^2 * 3^2
If a television was 20% off and the amount of the discount was $200 what would the original price be?
Answer:
The original price of the television would be 1000$
What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.
Answer: x = 21 2/3
Step-by-step explanation:
3/5 = 13/x
cross multiply 5 × 13, then divide by 3.
65/3 = 21 2/3
It's like multiplying both sides by the reciprocal of the left side.
Write the equation of the line, in point slope form that goes through the given point with the given slope. through: (-2,5), slope = -4* O y + 2 = 5(x + 4) O y - 2 = 5(x-4) O y + 5 = -4(x +2) O y- 5 = -4(x + 2)
Answer:
y-5 = -4(x + 2)
Step-by-step explanation:
The point slope form is;
y-y1 = m(x-x1)
where m represents the slope
(x1, y1) represents the given point
Thus;
y-5 = -4(x + 2)
HELP PLEASEE THIS IS MY LAST QUESTION ILL MARK BRAINLIEST
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price
Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red car traveled 38 feet im 2 seconds.
Answer:
The red car is faster compared to the blue car.
The red car is faster by 5.5 feet than the blue car.
Step-by-step explanation:
The objective is to find which car is faster and by how much
Given that:
The blue car traveled 54 feet in 4 seconds; &
The red car traveled 38 feet in 2 seconds.
Let us determine the number of feet traveled in each second for both cases.
For the blue car:
In 1 second, the car will travel = 54/4 feet
In 1 second, the car will travel = 13.5 feet
For the red car:
In 1 second, the car will travel = 38/2 feet
In 1 second, the car will travel = 19 feet
Thus, the red car is faster compared to the blue car.
The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet
= 5.5 feet
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
Decrease 10kg by 10%
Answer:
if you decrease 10 kg by 10% you get 9 kg
The value after the decrease in 10% is 9 kg
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = 10 kg
Now , the percentage decrease in value = 10 %
So , the equation will be
The amount after decrease =
Total amount - ( percentage decrease in value x total amount )
And , the equation is
The amount after decrease = 10 - ( 10/100 ) x 10
= 10 - 0.1 x 10
= 10 - 1
The amount after decrease = 9 kg
Therefore , the value is 9 kg after decrease in 10 %
Hence , The value after the decrease in 10% is 9 kg
To learn more about equations click :
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[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
Carlos worked 31.5 hours at a hospital as a volunteer. This represents 87.5% of his school’s requirement for community service. How many hours does the school require for community service?
Answer:
The answer to this question would be (to my best guess), 36 hours.
Step-by-step explanation:
First
You have to find the ratio between 87.5% and 100%. This is because you want to find what 100% represents.
To do this, you have to divide 100 by 87.5, which would represent 100 divided by 87.5. This will equal 1.142857142857143 , which isnt an easy number to work with.
Lastly
You have to multiply 1.142857142857143 by 31.5, because you reverse the previous operation, but the only difference is you swap out the percentages with the numbers they represent. This equals the final answer, which is 36, representing 36 hours.
What is:
5+5(5-5•5)-5 = ?
Answer:
-100
Step-by-step explanation:
4x +5y =24
2x+7y=21
Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is -3.
The y-intercept is (0, -7).
B. The slope is 1/3
The y intercept (0,-7)
c. The slope is -1/3
The y intercept s (0, -7).
D. The slope is -1/3
The y intercept is (-7,0)
Answer:
C
Step-by-step explanation:
for a school field trip there must be 20 students to 2 adults, 30 students to 3 adults, and 60 students to 6 adults. identify the student to adult ratio.
Answer:
7
Step-by-step explanation:
...
y = (x - 4)(x-8)
Distribution
Answer:
[tex]y= x^{2} -12x+32[/tex]
Explanation:
[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]
Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15
Graph the line that represents the equation y = -2/3x + 1
Answer:
Step-by-step explanation: