Answer:
Kindly check explanation
Step-by-step explanation:
Given the following functions :
sin^4 (x) = f(g(x)) where f(x) = and g(x) =
Sin⁴(x) = sin(x)⁴
g(x) = sin(x),
f(x) = f(g(x)) = f(sin(x)⁴) = x⁴
2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =
g(x) = sin(x) ; sinx = x
g(x) = sin(x)
f(x) = f(g(x)) = sin(x) ; sin(x) = x
f(x) = f(g(x)) = f(sin(x))
f(x) = sin(x)
3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .
Here,
g(x) = x⁴
f(x) = f(g(x)) = sin(g(x)) = sin x
f(x) = sinx
The functions are illustrations of composite functions, where multiple functions are combined in one.
(1) sin^4 (x) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin^4(x)[/tex]
So, we have:
[tex]f(g(x)) = (\sin(x))^4[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = (g(x))^4[/tex]
Substitute x for g(x)
[tex]f(x) = x^4[/tex]
Hence, the functions are: [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]
2.) sin(sin(x)) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(\sin(x))[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]
3. sin x^4 = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(x^4)[/tex]
From the above equation, we have:
[tex]g(x) = x^4[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]
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Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 What is the value of a? Negative 14 Negative 8 8 14
Answer:
The answer is C.8. The answer above is incorrect.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
on edge 2021
(6.2)(5.7) helppp, I need an answer ASAP!
I just don't feel like doing it
Answer: 35.34
Step-by-step explanation:
(6.2)x(5.7)= 35.34
Hope this helps!
I’m so stuck on this , can someone please help ?
Answer:
see attached.
Step-by-step explanation:
Bulbul thinks of a 3-digit number, decreases it by 50 and then increases it by 35. The resulting number will be
Answer:X-15
Step-by-step explanation:
Is a cross section 2 dimensional figure or three-dimensional figure?
Answer: It is a three-dimensional figure
Step-by-step explanation:
All figures that I have seen cross-section are only three-dimensional figures because it has volume.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x+8= x+8= \,\,8+x 8+x
Answer:no solution because it will equal 0
tep-by-step explanation:
Jacob needs 48 ounces of tomatoes for the spaghetti sauce he is choosing between the two brands shown explain how Jacob can determine which is the better value
Answer:Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!
Im late but hope this helps anyone doing makeup work!
Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.
We need to find the unit rate for each brand. Round to the nearest cent (hundredth).
What are ounces?The definition of an ounce is 1/16 of a pound or a very small amount of something.
According to column 1, 8 ounces of tomatoes would cost 2 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.
When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.37.
According to column 2, 16 ounces of tomatoes would cost 4 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.
When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.31.
Therefore, Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.
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Complete question:
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.
A 2-column table with 2 rows. Column 1 is labelled Brand A with entries 8 ounces, 2 dollars and 99 cents. Column 2 is labeled brand B with entries 16 ounces, 4 dollars and 99 cents.
Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Write the set of real numbers between 110 and 220 in interval notation.
Answer:
[tex]110\geq x \leq 220[/tex]
Step-by-step explanation:
Given
Minimum: 110
Maximum = 220
Required
Write as interval notation
Let the real numbers be represented with x
We start by setting x greater than or equal to the minimum:
[tex]x \geq 110[/tex]
Then, we set x less than or equal to the maximum:
[tex]x \leq 220[/tex]
Write out both inequalities
[tex]x \geq 110[/tex] and [tex]x \leq 220[/tex]
This can be rewritten as:
[tex]110 \geq x[/tex] and [tex]x \leq 220[/tex]
Both inequalities can be merged to give:
[tex]110\geq x \leq 220[/tex]
Answer:
(110,220)
I not sure about this answer but if I correct than your welcome and if I wrong then sorry.
HELP!!!!! will mark brainliest
Answer:
its the second and the 3rd one I think
Step-by-step explanation:
Answer:
A and C is correct
Step-by-step explanation:
I hope this helps you :)
-KeairaDickson
help ;-;
A mechanic charges $168 for parts and $35 per hour for labor. Write an expression for the total charge. Evaluate the expression to find the total charge for 3 hours of labor.
Answer:
35(3)+168= 278
Step-by-step explanation:
35(x)+168
x= the hours of labor
Evaluate the expression:
(5/7)³ = ?
Answer:
125 over 343 as a fraction and 0.364431 as a decimal
Step-by-step explanation:
hope this helps dont know if its right
Answer:
125/343
Step-by-step explanation:
What is the domain of the given function
{(3,-2),(6,1),(-1,4),(5,9),(-4,0)}
Solve the equation using the Properties of Equality.
1/5y+1/8=1/5 y=
Solve for : x= 2x+15
Answer:
x = 2x + 15
x - 2x = 2x +15
-x = 15
-x /- = 15/-
x = -15
Step-by-step explanation:
hope that will help you.
Answer:
x = −15
Step-by-step explanation:
x−2x = 2x+15−2x
−x = 15
−x/−1 = 15/−1
x = −15
I need to find f(-2) in this graph however I don't know please help me
======================================================
Explanation:
Check out the diagram below. Locate -2 on the horizontal x axis. Draw a vertical line through this value. Mark where the vertical line crosses the curve. Call this point P. Then draw a horizontal line through point P to have it cross the y axis. This horizontal line crosses at y = 1
In short, x = -2 leads to y = 1
So that is why f(-2) = 1
This is another way of saying f(x) = 1 when x = -2.
Note: y = f(x) since both are outputs of a function
|-3| ×(-6)
hello please
Answer:
-18.
Step-by-step explanation:
|-3| = 3.
Hence |-3| * (-6) = 3 * (-6) = -18.
Answer:
the awnser is 18
Step-by-step explanation:
|-3| = 3.
Hence |-3| * (-6) = 3 * (-6) = -18.
A basketball player makes 60% of his free throws. We set him on the line of free-throw and informed him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, find the probability that he will miss the shot on his 6th throw. Show work detail please
a) 0.04666
b) 0.03110
c) 0.01866
d) 0.00614
Answer:
B. 0.03110
Step-by-step explanation:
Given
Probability of Hit = 60%
Required
Determine the probability that he misses at 6th throw
Represent Probability of Hit with P
[tex]P = 60\%[/tex]
Convert to decimal
[tex]P = 0,6[/tex]
Next; Determine the Probability of Miss (q)
Opposite probabilities add up to 1;
So,
[tex]p + q = 1[/tex]
[tex]q = 1 - p[/tex]
Substitute 0.6 for p
[tex]q = 1 - 0.6[/tex]
[tex]q = 0.4[/tex]
Next,is to determine the required probability;
Since, he's expected to miss the 6th throw, the probability is:
[tex]Probability = p^5 * q[/tex]
[tex]Probability = 0.6^5 * 0.4[/tex]
[tex]Probability = 0.031104[/tex]
Hence;
Option B answers the question
Answer:
b) 0.03110
Step-by-step explanation:
Got it right on the test.
im so comfused please help
Answer:
it is graph b , but im very sorry if yu get it wrong mb:) i tried:)
Step-by-step explanation:
18=3(3x-6) multi step equation
Answer:
x=4
Step-by-step explanation:
18=3(3x-6)
Divide each side by 3
18/3=3/3(3x-6)
6 = 3x-6
Add 6 to each side
6+6 = 3x-6+6
12 = 3x
Divide by 3
12/3 = 3x/3
4 =x
What is 7m + 3mn when m=8 and n=14 I need answers now
Answer:
392
Step-by-step explanation:
7(8) + 3(8)(14)
56 + 24(14)
56 + 336
392
Answer:
392.
Step-by-step explanation:
7m + 3mn Substitute the variables.
7(8) + 3(8)(14) Multiply from left to right.
56 + 24*14 Multiply 24 by 14.
56 + 336 Add the products.
392 is the answer.
1, 5, 14, 30, 55, __,__
Answer:
91, 140
Step-by-step explanation:
hope this helps
The absolute value of a number is
Answer:
The absolute value of a number is always positive. So that means you circled the correct one. GOOD JOB!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
absolute value will always be positive
Expand the expression (x-5)^3
Answer:
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
Step-by-step explanation:
This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.
(x-5)(x-5)(x-5)=
[x(x-5)-5(x-5)](x-5)=
([tex]x^{2}[/tex]-5x-5x+25)(x-5)=
([tex]x^{2}[/tex]-10x+25)(x-5)=
x([tex]x^{2}[/tex]-10x+25)-5([tex]x^{2}[/tex]-10x+25)
[tex]x^3[/tex]-[tex]10x^2[/tex]+25x-[tex]5x^2[/tex]-125=
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
I am horrible at algebra its just not made for me to understand
formula: A=bh
A=72
b=12
72=12h
h=72/12
h=6
Latoya has a 25-pound bag of potting soil. She puts 3 pounds of potting soil in each of f flowerpots. The amount of potting soil that remains can be represented by the expression 25 – 3f.
Step-by-step explanation:
25 - 3f
25 - 3(7)
25 - 21
4 pounds of potting soil remains
♡ Hope it helps ♡
The difference between a number 12 is 20
Answer:
If you mean "the difference between a number AND 12 is 20" the x-12=20
Step-by-step explanation:
"difference" means subtraction and "and" indicates where that sign goes. "is" means "=".
What is the length of DT where D(-6-2) and T(7-8)
Answer:
[tex] d = \sqrt{205} [/tex]
Step-by-step explanation:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-8 - (-2))^2 + (7 - (-6))^2} [/tex]
[tex] d = \sqrt{(-6)^2 + 13^2} [/tex]
[tex] d = \sqrt{36 + 169} [/tex]
[tex] d = \sqrt{205} [/tex]
Answer:
√205
Step-by-step explanation:
Plug into distance formula
if i have 2 dogs and 3 cats how many animals do i have
Answer:
5 animals
Step-by-step explanation:
2 + 3 = 5
hope this helps you :)
can you friend me again I accidentally unfriended you :)
pls mark me brainlest ;)
Round 34,971.22 to the hundreds place.
Answer:
35000
Step-by-step explanation:
Since all numbers above 50 round to a hundred, we see that the number 34,971.22 has the tens digit over 5. We can then round this to 35,000.
The variable n represents the number of bikes in a shipping container. The weight of the container in pounds, including the bikes, can be modeled using the expression 250+23(n−1). How much will the container weigh with 20 bikes in it?
Answer:
678
Step-by-step explanation:
250 + 23 (20 - 1 )
Replace the n with 20 Bc n is the number of bikes
250 + 23 (20 - 1 )
Do the parentheses
250 + 23 (19)
Multiply the 23 by 19
250 + 437
Add both numbers
The required weight of the 20 bikes in the container is 687 pounds.
An expression regarding relative weight between the bike-containing container is given 250+23(n−1), where n represents the number of bikes and the whole equation gives the cumulative weight of the bikes.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is 250+23(n−1),
Now, put n = 20 According to the question,
Wight = 250 + 23 (20 - 1)
Weight = 250 + 23 * 19
Weight = 687.
Thus, the required weight of the 20 bikes in the container is 687 pounds.
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