To solve 3 composite functions, you would need to break each function down into its individual components. Then, you would need to combine each component one at a time, starting with the outermost function and working your way inwards.
1. Break each function down into its individual components. This may involve splitting them into simpler functions such as polynomials, exponentials, trigonometric functions, and so on.
2. Start with the outermost function and combine each component one at a time. Make sure to apply the order of operations to each step in order to get the correct result.
3. Evaluate the combined function. This means solving for the output of the function, which may involve plugging in values for certain variables.
4. Repeat the same process for the other two functions.
5. When you have evaluated all three functions, you can combine the results of each to get the answer to the composite functions.
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What is the surface area of an orange with a circumference of 10 in? Round your answer to the nearest square inch.
Answer:
A= 4pi r
C = 2pi r
Step-by-step explanation:
what is 2.38 correct to 2 significant figures
Answer: 2.4
Step-by-step explanation:
we start from the right most digit, that is 8. Since 8 is greater than 5, we add 1 in the number before 8, that is 3. When we add 3 and 1 we get 4. This way, we get our answer 2.4 , which is correct to 2 significant figures.
hope that helps...
What is undecidable language?
Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
Describe an algorithm.Algorithms exist to identify, solve, and frequently automate a solution to a particular problem; regardless of the situation, they are essentially problem solvers of expression.
In area of beginning textbooks, algorithms are typically introduced as "a set of phases to solve a problem."
Here,
Alternatively, a Turing computer that halts for all inputs cannot recognize a language for whose membership cannot be determined by an algorithm.
It is known as undecidable language.
There is no Turing Machine for an undecidable language that accepts the language and decides on each input string (TM can make decision for some input string though).
When the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Given:
The quadratic equation is:
[tex]12a^2+9a+7=0[/tex]
To find:
The solution of the given equation in simplest form by using the quadratic formula.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]12a^2+9a+7=0[/tex]
Here, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]
[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex] [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]
The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].
Therefore, the correct option is B.
What is a plot point example?
A plot point example contains a point in a story that defines the turning point in the story.
What is a plot point?A story's plot point is a crucial turning moment that occurs during the narrative. The tale and the characters may be developed and advanced using these ideas.
Why are plot points necessary in stories?Plot points offer your tale movement by advancing the plot and dragging the reader along. 'A particularly crucial portion of a storyline of a work of fiction,' according to the definition of a plot point. Never undervalue the significance of your framework, even if your book is contemplative or literary.
An example of plot point is :
In a story about a young girl who is trying to save her village from an impending monster attack, the plot point may occur when the girl discovers an ancient artifact that gives her the power to defeat the monster. This event marks a significant turning point in the story, as it sets the stage for the girl to take on the monster and potentially save her village.
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the circus admits children for $2 each and adults for $5 each. how many of each ticket were sold if 160 tickets were sold for $476
Answer: Children = 108
Adult = 52
Step-by-step explanation:
Let x = number of children
Let y = number of adult
Based on the information given, we can form an equation which will be:
x + y = 160 ........ i
2x + 5y = 476 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 320 ....... iii
2x + 5y = 476 ........ iv
Subtract iii from iv
3y = 156
y = 52
Number of adults = 52
Since x + y = 160
x + 52 =160
x = 160 - 52
x = 108
Number of children = 108
Multiply using the distributive property
D) Simplify the expression:
8(1 + 7d) =
Answer:
8 + 56d
Step-by-step explanation:
We will open the parentheses, multiplying the stuff outside by the stuff inside. So, we get:
8*1 + 8*7d
Then, we can simplify by giving us:
8 + 56d
Hope this helped!
In Lewis County , there were 2 , 277 student athletes competing in spring sports in 2014 . That was 110% of the number from 2013, which was 90% of the number from the year before. How many student athletes signed up for a spring sport in 2012
In the spring of 2012, 2300 student athletes participated in a sport.
How do I calculate a percentage?The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
In 2014, there were 2277 student athletes participating in spring sports.
Suppose there were x contestants in 2013.
The answer was 2277, which was 110 percent more pupils competing in 2014 than in 2013. So,
[tex]$110 \%$ of $\mathrm{x}=2277$$\frac{110}{100} \times \mathrm{x}=2277$$\mathrm{x}=\frac{2277 \times 100}{110}$$\mathrm{x}=2070$[/tex]
2070 pupils therefore competed in 2013.
Let y be the student who will be vying in 2012.
Now, the number of pupils competing in 2070 was 90% that of the year 2012's.
So,
[tex]$90 \%$ of $y=2070$$$\begin{aligned}& \frac{90}{100} \times y=2070 \\& y=\frac{2070 \times 100}{90} \\& y=2300\end{aligned}$$[/tex]
As a result, 2300 students competed in the 2012 competition.
Therefore, the answer is 2300.
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54. Suppose the population of a country is currently 8,100,000. Studies show this
country's population is increasing 2% each year.
a. What exponential function would be a good model for this country's
population?
b. Using the equation you found in part (a), how many years will it take for the
country's population to reach 9 million? Round your answer to the nearest
hundredth.
a. The exponential function that is good model for the country population is:
Pₙ = 8100000(1.02)ⁿ ,
b. It will take 5.27 years to reach 9 million.
What is exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Exponential Function Formula
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent.
a. Given, initial population P₀ = 8100000, Rate of increase R = 2%.
If a constant rate of growth be R% per annum,
then function for population after n years
Pₙ = P₀ x (1+R/100)ⁿ
Population Pₙ = 8100000 × (1+2/100)ⁿ
Pₙ = 8100000(1.02)ⁿ
b. Let after x years population will be 9 million.
then,
9000000 = 8100000 (1 + 2/100)ˣ
(1 + 2/100)ˣ = 9000000/8100000
(1.02)ˣ = 90/81
(1.02)ˣ = 1.11
Taking log on both sides
ln (1.02)ˣ = ln (1.11)
ln(a)ⁿ = n ln(a)
x ln(1.02) = ln (1.11)
x = ln(1.11)/ln(1.02)
x = 5.27 years
Hence, the population will reach 9 million in 5.27 years.
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domain and range of f(x)=|x|
The domain and range of f(x) = |x| is
Domain: all real numbers
range: positive real numbers
What are absolute values?The distance of a number from a number line's origin is referred to as the absolute value of that number. Its representation is |x|, which establishes the size of any integer 'x'.
Any integer's absolute value, regardless of its sign, will be one of the real numbers, whether it is positive or negative. The modulus of x, which is represented by two vertical lines |x|, is a mathematical concept.
Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value.
Since absolute value can be zero the range is all positive numbers
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Alexis deposited $6,000 into an account that pays 3% interest compounded annually. He doesn’t withdraw or deposit any money for 4 years. How much interest did he earn in that time?
Answer:
$720
Step-by-step explanation:
The formula is:
A = P(1 + rt)
We know
P = $6000
r = 3% = 0.03
t = 4 years
A = 6000( 1 + 0.03 x 4) = $6720
Now we have to find the interest by taking
$6720 - $6000 = $720
So, he earns $720 in interest in 4 years.
HELP!!!!!!
Maya plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will
watch in m months.
Answer:
m=3n
Step-by-step explanation:
3 movies per month. So 3 n per m.
Answer:
n=3m
Step-by-step explanation:
n is number of movies
3 is the 3 movies per month
m is each month
so it's n=3m
Cameron worked as a salesperson at an electronics store and sells phones and phone accessories. Cameron earns a $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells. On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold.
The number of phones sold is 26 and the number of accessories sold is 30.
What is a Linear equation:An equation is said to be linear if the maximum power of the variable is usually 1. A linear equation with one variable has the standard form Ax + B = 0. In this case, x is the variable and A is the coefficient of x, and B is a constant.
In mathematical problems, 'x' stands for unknown value or quantity. Here we use the Linear equation concept to solve the problem.
Given that
Cameron earns an $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells.
On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold.
Let x and y be the number of phones and accessories
Given that
Cameron made a total of $361 in commission
=> 11x + 2.5y = 361 ----- (1)
Total number of phones and accessories sold
=> x + y = 56
Multiply by 11
=> 11x + 11y = 616 ----- (2)
Do (2) - (1)
=> 11x + 11y - ( 11x + 2.5y) = 616 - 361
=> 11x + 11y - 11x - 2.5y = 255
=> 8.5y = 255
=> y = 255/8.5
=> y = 30
Substitute y = 30 in x + y = 56
=> x + 30 = 56
=> x = 26
Therefore,
The number of phones sold is 26 and the number of accessories sold is 30.
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PLEASE HELP FOR BRAINLIEST!!
Answer:
Slope = 1/5
Step-by-step explanation:
After plotting the points you do rise over run. 1/5 or 1 over 5 meaning you rise 1 and run across 5 to get to the next point
Write the equation for a parabola with a focus at (0,5) and a directrix at x = -7
Answer:
(y-5)^2=14(x+7/2)
Step-by-step explanation:
The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
Given,
Focus of the parabola at (0, 5).
Directrix is x = -7.
The parabola is horizontal parabola since the directrix is a vertical line.
Equation of the parabola is of the form,
(y - k)² = 4p (x - h)
Here (h, k) is the vertex.
Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).
(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)
Now, p is the distance from vertex to focus.
p = 0 - -7/2 = 7/2 = 3.5
So the equation is,
(y - 5)² = 4× 3.5 (x - -3.5)
(y - 5)² = 14 (x + 3.5)
Hence the equation is (y - 5)² = 14 (x + 3.5).
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What is the distance between -25 and -12 on
a number line?
units
Answer:
the distance would be 13 units
Answer:
Ot would be 13 units but I saw somone already posted But hope this helps
As drug A gets absorbed into the body, less and less of it remains. A scatterplot of data showed a curved relationship between hours since drug A was administered (x) and the number of milligrams of drug A remaining in the body (y). Taking the logarithm of the milligrams of drug A remaining obtains a linear pattern on a scatterplot, and creates the following printout from a statistical software package:
Predictor Coef SE Coef t-ratio P
Constant 3. 00 0. 401 7. 481 0. 000
Time -0. 0737 0. 005 -14. 74 0. 000
s= 0. 014 R-sq= 98. 5% R-Sq(Adj)= 99. 0%
Required:
Write down the correct equation that follows from this output?
The equation is
log ( milligrams of drug A ) =3 - 0.0737 ( Time)
As per the details stated above,
Curved relationship between the number of milligrams of drug A is (x) still in the body and the number of hours since drug A was delivered (y)
The co-efficient of the constant is 3.00
the co-efficient of the time is -0.0737
the SE co-efficient of the constant is 0.4017
the SE co-efficient of the time is 0.005
the t-ratio of the constant is 7.481
the t-ratio of the time is -14.74
now the equation formed is
logarithm of drug A in milligrams is (The co-efficient of the constant - the co-efficient of the time )
that is log ( milligrams of drug A ) =3 - 0.0737 ( Time).
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who can help me for 13 points
Answer:
slope is zero
Step-by-step explanation:
slope is the difference of the y-values over the difference of the x-values
(-3-(-3)) ÷ (5-2)
0/3
An office manager is planning to set up three computer workstations
and a file cabinet in a space that is 27 feet wide. The file cabinet takes up
3 feet. What is the width of the space available for each computer work
station?
PLEASE HELP
make up an equation in the form of an y=kx +b, the graph which passes through the following points: (5,5) and (-10,-19)
Answer:
y = 8/5x - 3
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-19 - 5) / (-10 - 5)
-24 / -15
= 8/5
Plug in the slope and a given point into y = mx + b, and solve for b
y = mx + b
5 = 8/5(5) + b
5 = 8 + b
-3 = b
Plug in the slope and b into y = mx + b
y = 8/5x - 3
So, the equation is y = 8/5x - 3
A group of hikers starts at an elevation of 2.53 kilometers. When they stop for lunch, their elevation has increased by 1.24 kilometers. When they stop to camp, their elevation has decreased by 0.53 kilometer compared to their lunch stop. Which expressions represent the elevation, in kilometers, of the group’s campsite?
The point B lies on the segment AC.
Find the coordinates of B so that the ratio of AB to B C is 5 to 4.
A(-6,5)
B(?,?)
C(21,-13)
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Help no links or files pls help
Answer:
2. one angle is 108, and other is 72
3. x is 12
Step-by-step explanation:
the ratio is 3:2.
3x + 2x = 180
5x = 180
x = 36
36 x 3 = 108
36x 2 = 72
so that is why the two angles re 108and 72.
for the last question, 37 plus 41 plus x = 90
37 plus 41 is 78
90 - 78 = 12
so that is why x is 12.
How many centimeters are equal to 0.6 inches? Enter your answer as a decimal and round to the nearest hundredth.
Answer:
1.52cm rounded
1.524 exact
Step-by-step explanation:
For this, we use the basic conversion of 1 inch is 2.54 cm.
We can do:
2.54 cm x 0.6 inch = 1.52 cm rounded.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample size, n, is small enough.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample proportion is never a point estimate of the population proportion.
Answer:
c. the sample portion is unbaised
Step-by-step explanation:
plato
A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 6cm. If a box contains 15 pieces of candy, how much chocolate does the box contain? Use 3. 14 for π, and do not round your answer
The total amount of solid sphere chocolate in the box is 1695.6 cubic centimeters.
What is volume?The space occupied within an object's borders in three dimensions is referred to as its volume.
What is the volume of sphere?The volume or the space inside the borders of the sphere is given by the formula:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Given that the diameter is 6cm, the radius r = 3cm.
Substituting the value of radius in volume we have:
[tex]V = \frac{4 (3.14)(3)^3}{3}[/tex]
[tex]V= 113.04[/tex]
The box contains 15 candies hence the total volume will be:
V = 15 * 113.04
V = 1695.6 cubic centimeters.
Hence the total amount of chocolate in the box is 1695.6 [tex]cm^3[/tex].
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please answer! it's more complicated than it looks!
Answer:
1. 360
2. Yes because in a regular hexagon all angles are congruent so the exterior angles are as well
3. (i) 60 (ii) 120
4.
(i) 1. 360 2. Yes because in a regular octagon all angles are congruent so the exterior angles are as well 3. (i) 45 (ii) 135
(ii) 1. 360 2. Yes because in a regular 20-gon all angles are congruent so the exterior angles are as well 3. (i) 18 (ii) 162
Step-by-step explanation:
Works for each polygon
1. First take the number of sides and subtract it by 2 then multibly that by 180
6-2=4x180=720
Then divide by the number of angles and subrtact that number by 180 to find the measure of one exterior angle
720/6=120
180-120=60
Then multiply by the number of exterior angles
60x6=360
2. Regular polygons always have equal angles so the exterior angles are as well
3. Put in your numbers from earlier
(i) 60 (ii)120
Hope this helps! :)
P.S. Feel free to mark brainliest :)
A farmer decides to sell 25% of his 500 cows. How many cows does he
sells?
Write and solve an equation to find the value of x.
Answer:
x = 60
Step-by-step explanation:
Let the two opposite angles be equal and let's call them y.
Because of the theory of angles on a straight line 120 +y = 180
y = 60
Because of the theory of angles on a straight line 2x + y = 180
2x + 60 = 180
2x = 120
x = 60
Alternatively. (also a lot easier)
120 and 2x are opposite angles so they are equal and so;
2x = 120
x = 60
Please mark as brainliest if this answer is helpful.
Can someone please help me on this & I’ll reward you afterwards
Answer: 4y (4y^2-2y-5)
Step-by-step explanation: