Need Help ASAP
Formula 1 can be written alternatively as formula 2. Use algebra to show your steps how formula 1 can be manipulated to create formula 2.
Formula 1:
[tex]f(n)=\left\\ ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,}[/tex]
Formula 2:
[tex]f(n) = 440 (2)^{\frac{n-49}{12} }[/tex]
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.
Marcus can read 126 pages in one hour. How many pages can he read in 15 minutes?
Answer:
31.5 or 32
Step-by-step explanation:
Divide 126 by 4
I’m kinda confused of where I out the yes
Answer:
put the yes in the second box, fourth box, and fifth box.
Step-by-step explanation:
trust me, your welcome
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ3
How do I solve this equation?
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much
Answer:
John would jog 1 more mile than any
Step-by-step explanation:
If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
7 ft
10 8/15 ft
5 2/3 ft
4 2/3 ft
Answer:
c i think your answer is c
Step-by-step explanation:
Work out the perimeter of a rectangle with length 8.5cm and width 0.2cm.
Answer: 17.4 cm
Step-by-step explanation: All you have to do is add all of the sides together.
So 8.5+8.5+0.2+0.2
=17+0.4
=17.4 cm
Answer:
17.4 cm
Step-by-step explanation:
A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:
8.5 + 8.5 + 0.2 + 0.2 = 17.4
Hope this helps :)
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answer:valid
Step-by-step explanation:
Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens
Answer:
They have the same amount of tokens after t = 7.6 hours
Step-by-step explanation:
Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t
Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t
To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.
So, 50 - 3t = 12 + 2t
collecting like terms, we have
50 - 12 = 3t + 2t
38 = 5t
dividing both sides by 5, we have
t = 38/5
t = 7.6 hours
So, they have the same amount of tokens after t = 7.6 hours
which of the number 285, 627, 5490, 7290, 7295, 15780, 43695 are divisible by 5 but not 3
Answer:
Step-by-step explanation:
They all end in 0 or 5 except 627, so all but 627 are divisible by 5.
The following are divisible by 3
285
627 is divisible by 3 (but not 5)
5490 is divisible by 3
7290 is divisible by 3
15780
43695
===============
So your answer is
7295
I think that's the only one divisible by 5 but not 3.
===============
There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3
For example 285
2 + 8 + 5 = 15.
15 is divisible by 3 so 285 is divisible by 3.
==================
7295 = 7 + 2 + 9 +5. Anything adding up to 9 you can cast out.
7 + 2 = 9 Cast it out
9 = 9 Cast it out
5 is not divisible by 3, so 7295 is not divisible by 3
Enter the number in standard notation.
7.037 x 10^9 =
Answer:
7,037,000,000
Step-by-step explanation:
Move the decimal to the right 9 times
70.37 1
703.7 2
7,037.0 3
70,370.0 4
703,700.0 5
7,037,000.0 6
70,370,000.0 7
703,700,000.0 8
7,037,000,000 9
What is the value of the expression below when c=5 and d=4?
Answer:
138.....................
Answer:
888
Step-by-step explanation:
C equals 5 so u do 6 times 5. Then you have to do that by the exponent of 2 which equals 900. Because d equals 4 u do 5 times 4 which equals 20. So 900 minus 20 equals 880 plus 8 equals 888
NEED HELP ASAP!!!
Which function does this graph represent?
A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2
-30<x/-4 answer must be simplified
Answer:
x<120
Step-by-step explanation:
-30<x/-4
In order to simplify this, we must isolate the x value by multiplying both sides by -4
Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)
-30(-4)>x
x<120
Solve
2x- 4 = -3 +3
Answer:
x=2
Step-by-step explanation:
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Да се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см
Answer:
се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см
Someone please answer! 8th grade math question.
Answer: there is 3 terms
Step-by-step explanation: each term is separated by a sybol (addition, substation, multiplication, etc).
Can somebody answer this
Write the equation of the line with a
slope of -2 and passes through (4, -1).
Answer:
Step-by-step explanation:
y=mx+b
y= -2x + 3[tex]\frac{1}{2}[/tex]
hope this helped :)
It takes 115 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?
Answer: 9.5
Step-by-step explanation:
You need to do 115/12 and the answer is 9.5 so if that is not an answer it will be10 rounded up
Thanks guys for the help! heres another question
Answer:
Step-by-step explanation:
Putting values in the equation
1/3 / 1/2 = 0.166
Answer:
lol i already answered this its 2/3
Step-by-step explanation:
im not typing it again u can look at ur other question tho i put it there lol
What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *
Answer:
y = 2/5x + 7
Step-by-step explanation:
substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept
y=mx+b
5 = 2/5(-5) + b
5 = -2 + b
add 2 to both sides to solve for b (y intercept)
b = 7
therefore the equation for the line will be...
y = 2/5x + 7
i need this asap !
write the equation of a line perpendicular to y=-2x+8 that passes through the point (-4,1)
Answer:
y = 1/2x + 3.
Step-by-step explanation:
y = -2x + 8
Gradient = -2
Gradient of the line passing through point (-4,1)
is given as 1/2. i.e it is perpendicular to y = -2x + 8
Its equation is given as:
y - y1 = m(x - x1)
y - 1 = 1/2(x -(-4))
y - 1 = 1/2(x + 4)
y - 1 = 1/2x + 2
y = 1/2x + 3.
A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day, the market sold a total of $47 worth of blueberries. And the third day, the market sold a total of $57 worth of blueberries. Estimate how many pints the market sold over the three days.
Answer:Around 50 pints
Step-by-step explanation:
$35=$40
$47=$50
$57=$60
$40+$50+$60=$150/3=50
I need help with this question right now please and thank you!
|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|
how to find the y-intercept from a table AND from a graph.
Answer:
When Finding the Y-Intercept from a Graph and Table, you are searching for the point of intersection between the equation and the y-axis. When finding the Y-Intercept from a Graph, you should find where the line from the equation crosses the y-axis. The point where the equation crosses the y-axis is the Y-Intercept.
Step-by-step explanation:
The graph shows the cube root parent function.
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
please help me thanks
Answer:
It is 61 degress an acute angle.
Step-by-step explanation: