Total: 48
DIning Hall: 48(3/8)=18
so theres 30 left for the classes
30/5(#of classes)=6 per class
or
What is (fg)(x)?
f(x)=
–
3x+1
g(x)=x2
Write your answer as a polynomial or a rational function in simplest form.
The value of (fg)(x)= 3x³+ x²
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(x) = -3x+1
g(x) = [tex]x^{2}[/tex]
Now, (fg)(x)
=f(x) * g(x)
= (-3x+1) * ([tex]x^{2}[/tex])
=-3x³+ x²
Hence, (fg)(x)= 3x³+ x²
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Inverse Function: One to one function...Help needed! 15 pts for your help!
Answer:
Step-by-step explanation:
hello :
The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:
Answer:
Step-by-step explanation:
Gabrielle's age is three times Mikhail's age. The sum of their ages is 36. What is Mikhail's age?
Answer:
Gabrielle is 27
Mikhail is 9
Step-by-step explanation:
g = 3m
g + m = 36
since g = 3m we can substitute it in the equation
g + m = 36 as
3m + m = 36
4m = 36
m = 9
3m = 27 which is g
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Work out the height of this triangle with base, b = 4.7mm and area, A = 137.475mm2.
Step-by-step explanation:
hope you can understand
The height of the triangle will be;
⇒ 58.5 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The base of the triangle = 4.7 mm
The area of triangle = 137.475 mm²
Now,
We know that;
⇒ The area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ 137.475 = 1/2 × 4.7 × h
⇒ 137.475 = 2.35 × h
⇒ h = 137.475 / 2.35
⇒ h = 58.5 mm
Thus, The height of the triangle = 58.5 mm
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I WILL MARK 5 STARS! PLSSS FAST! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. is mathematically given as
PoT=-PhT PhT =+PoT What was the temperature in each city?Generally, the equation for the temperature at Portland, Maine is mathematically given as
PoT=-PhT
Since Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix.
In conclusion, the temperature in each city is
PoT=-PhT
PhT =+PoT
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ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.
What are opposite values?Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.
In general, the temperature equation for Portland, Maine is stated mathematically as
PoT=-PhT
As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,
PoT=-PhT
PhT =+PoT
Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.
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Goods costing $2,300 are purchased on account on July 15 with credit terms of 2/10, n/30. On July 18, a $100 credit memo is received from the supplier for damaged goods. Give the journal entry on July 24 to record payment of the balance due within the discount period using a perpetual inventory system
The journal entry on July 24 to record payment of the balance due is $2156
What is Discount Period ?Discount period is the time period given by the supplier to the consumer for getting discount if the payment is made by the due date.
Debit Credit
Accounts payable (2300-100 ) 2200
Cash (2200 - (2200* 2%)) 2156
Purchase Discount / Merchandise Inventory 44
To record the payment of accounts within discount period
Amount Paid = 2300 - 200 -44 = 2156
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David throws a ball up in the air. The graph below shows the height of the ball hh in feet after tt seconds. What is the ball’s greatest height?
HELP ASAP!
The greatest height is 9 feet.
What is projectile?
A projectile is any object thrown into space upon which the only acting force is gravity.
As, from the graph we can see that
The highest point the ball reaches shown by the coordinates (0.75, 9)
As, the maximum height is shown by y- axis(vertical axis).
Hence, the greatest height is 9 feet.
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For what value of b does (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b 2 baseline = 12?
There is no solution for b.
The rule for operations done in exponents are
(a) [tex]a^m*a^n=a^{m+n}[/tex]
(b) [tex]a^m/a^n=a^{m-n}[/tex]
(c)[tex](1/a)^m=a^{-m}[/tex]
Given the expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12
the expression (one-twelfth) superscript negative 2 b simplifies that [tex](1/12)^{-2b}[/tex]
12 superscript negative 2b+ 2 simplifies that [tex]12^{-2b+2}[/tex]
so the final expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12 will be
[tex](1/12)^{-2b}[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{-(-2b)}\\[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b-2b+2}[/tex]=12¹
equating the exponts of the both sides
⇒2b-2b+2=1
⇒2=1 (not accepted because un-logic condition)
Therefore there is no solution.
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The ratio of the number of fiction book is 9:4, the different between the number of fiction and non fiction is 245
Answer:
Step-by-step explanation:
The ratio of the number of fiction books is 9:4
the difference between the number of fiction and nonfictionn is 245
so if the number of fiction books = 9x
then the number of nonfiction books = 4x
then difference = 9x-4x = 5x
the difference is given 245
then 5x= 245
x=[tex]\frac{245}{5}[/tex]=49
number of fiction books =49×9=441
number of nonfiction books =49×4=196
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The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".
Use the graph to complete the following.
We have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
The y-intercept of a function is determined by the intersection of its graph with the y-axis. The value of y on the y-axis at which the considered function crosses it is called the y-intercept.
Assume the following equation: y = f (x)
We have x =0- 2 and y+2 = 0,The x and y intercept of the given function is -2 and +2.
The vertical asymptote is none. The horizontal asymptote is 2.
Hence,we have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.
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Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5
The correct answer to this question is Option (4).
Answer:
D.
Step-by-step explanation:
EDG 2022
What is 4 third written in expanded form
can someone turn the equation 3−2=13 into a word problem. (i already know answer)
The word problem for given equation is : When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .
The complete equation will be 3x - 2y =13
What is an Equation ?When an algebraic expression is equated by an equal sign to a constant or any other algebraic expression , then an equation is formed .
The equation given in the question is
3x-2y =13
When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .
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PLease simplify this!!!
show all work!
The simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
The given expression is [tex]\frac{4(3x^{2} y^{4} )^{3} }{(2x^{3} y^{5} )^{4} }[/tex].
What are exponents?Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".
We need to simplify the given expression.
Now, [tex]\frac{4(3^{3}x^{6} y^{12} )}{2^{4} x^{12}y^{20} }[/tex]
⇒[tex]\frac{108x^{6}y^{12} }{16x^{12} y^{20} }[/tex]
⇒[tex]\frac{27}{4x^{12} y^{8} }[/tex]
Therefore, the simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
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Y=3x-7 complete the missing value in the solution to the equation (1,
Answer: (1, -4) or y = -4
Step-by-step explanation:
Given:
y = 3x - 7
Plug in the value of 1 for x - given to us by "(1, ?)
y = 3x - 7
y = 3(1) - 7
Multiply:
y = 3 - 7
Subtract:
y = -4
y = -4
Urgent help needed algebra 2
replace F with 95:
95 = 9/5C + 32
Subtract 32 from both sides:
63 = 9/5C
Divide both sides by 9/5:
C = 35
answer: 35 Celsius
Find the equation of the tangent line to the curve:
y = ( 1 + 2x)
at the point (2, 25).
Answer:
the first answer y = 20x - 15
Step-by-step explanation:
since the correct tangent line must share the same point with the originated function, only a line function that delivers y = 25 for x = 2 can be correct.
only the first answer option provides this (20×2 - 15 = 25).
so, we know, this line goes through the given point, but does it have the correct slope for the tangent ?
the correct slope we get from the first derivative of the original function.
f(x) = (1 + 2x)² = 1 + 4x + 4x²
f'(x) = 4 + 8x
for x = 2 we get the tangent slope at that point as
4 + 8×2 = 20
and the provided line is again
y = 20x - 15
with the slope being the factor of x (20).
so, it fits, and indeed, answer 1 is correct.
sketch the graph of y =sine3x
The graph of [tex]\mathbf{y=\sin{3x}}[/tex] is given by,
Here given the function is [tex]y=\sin{3x}[/tex]
when [tex]x=0\Rightarrow y=\sin{3\times 0}=\sin0=0[/tex], then it passes through the origin (0,0).
When [tex]x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1[/tex]
Since we know that, [tex]-1\leq\sin{x}\leq1,\forall x[/tex], then the function has maximum height at [tex]x=\frac{\pi}{6}[/tex].
Again when [tex]x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0[/tex], again the function is 0.
So clearly the function is the Oscillating function with a maximum value of the function as 1 and a minimum value of the function as -1.
Range of the oscilaltion of the function = 1-(-1) = 1+1 = 2
Using graphing calculator we get the graph of function [tex]y=\sin3x[/tex],
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The functions f(x) = x^2 – 2 and g(x) = –x^2 + 5 are shown on the graph.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x^2 – 2
y ≥ –x^2 + 5
The set of inequalities do not have a solution.
What is inequality?The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given:
f(x)= x²-2
g(x) = -x²+5
To derive, y ≤ x² + 5 simply change the equality sign in the function g(x).
To derive y > x² - 2 , following transformation on the function f(x)
Shift the function f(x) down by 2 unitsReflect across the x-axisShift the function g(x) up by 5 unitsChange the equality sign in the function g(x) to greater than.The inequalities of the graphs become
y < x² - 2 and y ≤ x² - 5
From the graph of the above inequalities it can be seen that curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
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which of the following is most likely the next step in the series?
Answer:
errrrrr a not too sure but try
Step-by-step explanation:
i did the test got a 90
If the sides of a square are increased by 2 inches, the area becomes 25 squares inches. Find the length of sides of the original square.
You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)
The area is 25 square inches
The area of a square is s×s or s²
so it can be solved as:
(x+2)²=25
[tex](\sqrt{x+2})^{2} =\sqrt{25}[/tex]
x+2=5
x=3
The length of the original side is 3 inches
Hope it helps!
Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6
Answer is 1832.7
step by step
z=kx^3 / y^3
167=27k/1000
k=16700/27
k=6185.2, then
z=6185.2×4^3/6^3
z=6185.2×64/216
z=1832.7
distribute 5x(3x+7)
help asap
Answer:
The Answer is 50 or 50x
Answer: 15x^2+35x ✅
Step-by-step explanation:
Hii, do you need to distribute [tex]\boldsymbol{5x(3x+7)}[/tex]? No problem! (:
How to Distribute?We can solve problems like this one by using what is known as the "distributive property". What it says is: If you have a term that comes before the parentheses, you multiply it times every single term in the parentheses. Let me show you what I mean...
[tex]\twoheadrightarrow\sf 5x(3x+7)[/tex]
[tex]\bullet[/tex] Multiply 5x tmes 3x and 7 - you will obtain
[tex]\twoheadrightarrow\sf 15x^2+35x[/tex] (if we multiply x times x we obtain x²)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\it Reach\quad far.\:Aim\quad high. \,Dream\quad big.[/tex]
[tex]\bigstar\underbrace[/tex]
--
How can I simplify this equation 2y+3(x-4x)
Answer:
2y - 9x
Step-by-step explanation:
2y + 3 ( x - 4x )
First, solve the brackets.
2y + 3x - 12x
Combine like terms.
2y - 9x
Answer:
[tex]\sf 2y-9x[/tex]
Step-by-step explanation:
Hi There Student! Let me help you out on this question.
________________________________________________________
SimplifyingIn this problem, we are given an expression [tex]\longmapsto\pmb{2y+3(x-4x)}[/tex], and asked to simplify it.
↪
First, we can perform the operation inside the parentheses, x-4x:
[tex]\longmapsto\sf 2y+3(-3x)}[/tex].
Now we can multiply 3 times -3x:
[tex]\longmapsto\sf 2y-9x[/tex]
And that is our final answer, because 2y and -9x are not like terms.
Hope that this helped! Have a good day ahead.
Best Wishes!
[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf {Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
◆◈-Greetings!-◈◆
-______________________________
Select the correct answer from each drop-down menu.
Consider functions hand k.
h(t) = 5r2 – 1
k(x) = √5x + 1
For > 0, the value of h(k(x)) is
0, functions hand k
For
the value of k(h(r
inverse functions.
Answer:
h(t)= 5r2-1
That the answer for the question
Philip ran out of time while taking a multiple-choice test and plans to guess the last 4 questions. Each question has 5 possible choices, one of which is correct. Let X=X=X, equal the number of answers Philip correctly guesses in the last 444 questions. Assume that the results of his guesses are independent.
What is the probability that he answers exactly 1 question correctly in the last 4 questions?
Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096[/tex]
0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
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the answer to this asap please!
The required work done is 62400 J.
work done to lift a 1500 N object from the ground to the top of a 40 m building if the cable weighs 3 N per m
work done, is define as the product of force and displacement.
since,
work done to lift 1500N to height of 40 m is:
W= FS
= 1500 x 40 = 60000J
now work done for rope
is given by
w = mgΔx(40-x)
w= [tex]\int _0^{40}\left mg(40-x\right)dx[/tex]
w=[tex]3\int _0^{40}\left(40-x\right)dx[/tex]
w= 3[tex][40x-x^2/2]\left \{ {{40} \atop {0}} \right.[/tex]
w= 3[1600-800]
w = 2400
Total work done for lifting 1500N to 40m height
= 6000+2400=62400J
Thus the required work done to lift 1500N weight to 40m is 62400J.
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