Answer: [D] 2(36-12)
Step-by-step explanation:
First, we will simplify the given expression.
38 – 14 = 24
Now, we will see if the other expressions are equivalent or not.
[A] 2(19-7) = 24
[B] 24 = 24
[C] (19-7)2 = 24
[D] 2(36-12) = 48
The expression is NOT equivalent to the expression 38 – 14 is;
[D] 2(36-12)
Hi :)
Let's evaluate all these expressions
———————[tex]\boldsymbol{\boxed{38-14=24}}}[/tex]
So Now the question boils down to --
What expression is NOT equivalent to [tex]\boldsymbol{24?}[/tex]
Option (A).[tex]\boldsymbol{2(19-7)}[/tex]
[tex]\boldsymbol{2(12)}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.
Option (B)Well 24 is always equal to 24!
Option (C)[tex]\boldsymbol{(19-7)2}[/tex]
[tex]\boldsymbol{(12)2}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (D)[tex]\boldsymbol{2(36-12)}[/tex]
[tex]\boldsymbol{2(24)}[/tex]
[tex]\boldsymbol{48}[/tex]
[tex]\tt{Learn\;More;Work\;Harder}[/tex]
:)
piecewise function f (x) is defined by f of x is equal to the piecewise function of 3 to the power of the quantity x minus 1 end quantity minus 4 for x is less than or equal to 3 and the quantity negative x squared plus 3 times x plus 4 end quantity over the quantity x squared minus 7 times x plus 12 end quantity for x is greater than 3 Part A: Graph the piecewise function f (x) and determine the range. (5 points) Part B: Determine the asymptotes of f (x). Show all necessary calculations. (5 points) Part C: Describe the end behavior of f (x). (5 points)
The range of the function f(x) is (-∝, 3]
Part A: Graph the piecewise functionThe function definition is given as:
[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]
There are two sub-functions and the domains in the above definition.
Each function would be plotted alongside its domain.
See attachment for the graph of the function f(x)
From the graph of the function, we have the following range of f(x)
Minimum = Negative Infinity
Maximum = 5
Hence, the range of the function f(x) is (-∝, 3]
The asymptotes of f(x)We have the domains to be
x <= 3 and x > 3
This means that the asymptote of f(x) is x = 3
The end behavior of f(x)From the graph, we have:
f(x) increases as x increasesf(x) decreases as x decreasesThis means that the end behavior of f(x) is as x approaches +∝, the function approaches +∝ and as x approaches -∝, the function approaches -∝
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Complete question
A piecewise function f (x) is defined by
[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]
WILL VOTE BRAINLIEST TO THE FIRST CORRECT ANSWER
Answer:
D
Step-by-step explanation:
The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below
23-2(17+3^3)
Sjshjshdjsjshs
Answer:
-65
Step-by-step explanation:
23-2(17+3^3)
23-2(17+27)
23-2(44)
23-88
=-65
What is the next term in the geometric sequence below?
3, -6, 12, -24, __, ...
A. 36
B. -48
C. -36
D. 48
Answer:
48
Step-by-step explanation:
48 because you are multiplying it by -2 each time. -24 x -2 = 48
Use the laplace transform to solve the given initial-value problem. y'' − 6y' 13y = 0, y(0) = 0, y'(0) = −9
The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
According to the statement
we have given that the equation and we have to find the Laplace transformation of that equation.
So, For this purpose, we know that the
Laplace transformation is an integral transform that converts a function of a real variable to a function of a complex variables.
And the given equation is
y'' − 6y' + 13y = 0, y(0) = 0, y'(0) = −9
To convert into the Laplace transformation
firstly find the single derivative of given equation in the Laplace transformation and put y = -9 in this.
And now find second derivative of given equation in the Laplace transformation.
And and put y = 0 in the given equation.
After the Laplace transformation give value as a Laplace transformation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
So, The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
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6. Solve the system of equations.
x = 3y + 1
2x+4y= 12
O (10,3)
O (4,1)
(1,4)
(3,10)
Answer:
(4, 1 )
Step-by-step explanation:
x = 3y + 1 → (1)
2x + 4y = 12 → (2)
substitute x = 3y + 1 into (2)
2(3y + 1) + 4y = 12
6y + 2 + 4y = 12
10y + 2 = 12 ( subtract 2 from both sides )
10y = 10 ( divide both sides by 10 )
y = 1
substitute y = 1 into (1)
x = 3(1) + 1 = 3 + 1 = 4
solution is (4, 1 )
What are the parentheses doing in this sentence? Javier (in spite of his reservations) decided to go to the house party. Choose 1 answer: Choose 1 answer: (Choice A) A Showing a comment the writer is making (Choice B) B Showing an interruption in dialogue
The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.
What is parentheses?The parentheses is known to be a kind of a word or phrase that is said to be often inserted as a form of an explanation or what we call an afterthought into what the writer is meaning to say or portray.
Note that the statement is not grammatically complete without the use of it hence it is often used in writing and marked off by the use of brackets, dashes, or commas.
Therefore, The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.
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Last one for the night lol thanks again
Answer:
[tex]BC=24[/tex]
Step-by-step explanation:
We know that in an isosceles triangle if two angles are congruent then the opposite sides of the angle must also be congruent.
Therefore [tex]AC=AB[/tex]
Then we can create an equation and solve for x
[tex]x+8=2x-1\\x+9=2x\\9=x[/tex]
Now that we have x we just need to substitute it for [tex]BC[/tex]
[tex]BC=3x-3\\BC=3(9)-3\\BC=27-3\\BC=24[/tex]
Help!! PLSS
what can be to total of 100% if divided by four percentage?
__%
__%
__%
__%
=100%
Step-by-step explanation:
I am not sure I understand your question (grammatically).
percentages are like any other numbers. they can be added, divided, ...
so, 100% or simply 100 : 100/4 = 25.
so, 4×25 = 100.
and 4×25% = 100%
I am really not sure if this is your question, but it fits to your table with 4 entries and 100% as result.
LK=
Help please asap thx so much
Answer:
LK = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
given point J (4, 4 )
then LJ = 4 and JK = 4
using Pythagoras' identity in right triangle LJK
LK² = LJ² + JK² = 4² + 4² = 16 + 16 = 32 ( take square root of both sides )
LK = [tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
Solve the following quadratic equation for all values of a in simplest form.
5(x − 6)² — 29 = −19
Answer:
[tex]X1 = 6-\sqrt{2} , X2 = 6+\sqrt{2}[/tex]
Step-by-step explanation:
Answer: x= √2 + 6, - √2 + 6
Step-by-step explanation:
what is 4^-2. ................................
Answer:0.0625
Step-by-step explanation:
Answer:
1/16.
Step-by-step explanation:
4 ^-2 = 1 / 4^2
= 1/16.
A sample is selected from a population with a mean of μ = 65 and a standard deviation of σ = 15. if the sample has n = 9 scores, what are the expected value of m and the standard error of m?
The Expected value of M is 65
The Standard error of M is 5
The mean of the distribution of sample means is called the expected value of M.The standard deviation of the distribution of sample means is called the standard error of M.Given,
The sample score, n = 9
The Standard deviation, σ = 15
Population mean, μ = 65
Then,
The Expected value of M = μ
∴ The Expected value of M = 65
The Standard error of M = σ/[tex]\sqrt{n}[/tex]
[tex]=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5[/tex]
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A group of 15 teenagers owes $75 at a pizza parlor. If they split the bill evenly, how much will each person owe?
Answer:
$5 each teenager
Step-by-step explanation:
divide 75 by 15
Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Answer:
24 dollars.
Step-by-step explanation:
1/4 + 1/3 = 3/12 + 4/12 = 7/12
7/12 a + 8 = 22
7/12 a = 14
a = 14 x 12/7
a = 24
What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?
a) 4
b) 2. 45
c) 3
d) 1. 5
Answer:
b) 2.45
Step-by-step explanation:
The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.
ApplicationFor the given points ...
[tex]x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)[/tex]
The distance between x and y is ...
[tex]d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45[/tex]
Solve for n.
7 + 2n
||
=
submit
Answer:
2
Step-by-step explanation:
7+2n = 11
2n = 11-7
2n = 4
n = 4/2
therefore n = 2
What percent of zachary's pay do his deductions comprise? round your answer to the nearest whole percent.
The percentage of Zachary's pay due to his deductions comprise exists 18.724%.
How to estimate the deduction percentage for Zachary?Zachary exists supposed to earn a paycheck of $20,160.00 but instead, he acquires a lesser amount of money due to deductions. The money he acquires after deductions exists at $16,385.31.
Money deducted = Original paycheck amount - deductions
= $20,160.00 - $16,385.31
= $3,774.69.
So Zachary obtains a deduction of $3,774.69.
To estimate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by 100 to transform it into a percentage.
Deduction % = ($3,774.69 / $20,160.00) [tex]*[/tex] 100
= 0.1872366 [tex]*[/tex] 100
= 18.72366%
We obtain the deduction percentage as 18.724%.
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Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.
Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4
Josiah’s work:
StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.He did not multiply the numerator and denominator by the correct number to equal 1,500.He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.What did Josiah do wrong?To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:
= (4 + 6) / 2
= 5
Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.
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What steps do you use to solve y=x+12 and y=-x+17 an unknown number y is 12 more than an u known number x the number y is also x less than 17 the equations to find x and y are show
Answer:
x=2.5
Step-by-step explanation:
Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.
Starting with the equation:
[tex]x+12=17-x[/tex]
Add x to both sides to remove the negative x on the right side of the equation:
[tex]2x+12=17[/tex]
Subtract 12 from both sides to remove the 12 on the left side of the equation:
[tex]2x=5[/tex]
Divide both sides by 2 to cancel out the x coefficient
[tex]x=2.5[/tex]
10x(4-3x) pls someone help???
Answer: [tex]\Large\boxed{-30x^2+40x}[/tex]
Step-by-step explanation:
Given expression
10x (4 - 3x)
Expand the parenthesis by distributive property
= 10x · 4 - 10x · 3x
= (10 × 4)x - (10 × 3) (x × x)
[tex]\Large\boxed{=-30x^2+40x}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Hi :)
We'll use distributive property to solve this
————————[tex]\LARGE\boldsymbol{10x(\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}4-\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}{3x)}}}[/tex]
Thus
[tex]\large\boldsymbol{10x\cdot4-3x\cdot10x}[/tex]
Simplify
[tex]\Large\boldsymbol{40x-30x^2}[/tex]
[tex]\tt{Learn~More;Work~Harder}[/tex]
:)
What is the directrix of a parabola whose equation is (y+3)^3=8(x-3)?
Considering the equation of the parabola, the directrix is: x = 1.
What is the equation of a parabola given it’s vertex?The equation of an horizontal parabola, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
The directrix is at x = h - p.
For this problem, the equation is:
(y + 3)² = 8(x - 3).
The relevant coefficients for this problem are:
4p = 8 -> p = 2, h = 3.
Hence the directrix is:
x = h - p = 3 - 2 = 1.
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The equation of the parabola whose equation [tex](y + 3)^3 = 8(x - 3).[/tex], the directrix exists x = 1.
What is the equation of a parabola given its vertex?The equation of a horizontal parabola, of vertex (h, k), exists given by:
(y - k)² = 4p(x - h).
The directrix exists at x = h - p.
For this problem, the equation exists:
[tex](y + 3)^3 = 8(x - 3).[/tex]
The appropriate coefficients for this problem exist:
4p = 8
p = 8/4 = 2 and h = 3.
Hence the directrix exists:
x = h - p = 3 - 2 = 1.
Therefore, the directrix exists at x = 1.
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Ben invests Nu 125,000 in a bank shares with a face value of Nu 100 but they are being sold at a premium of 25%. How many shares can he buy?
Answer:
This is your answer!
Step-by-step explanation:
If the graph of a budget function has an x-intercept at 2 and the y-intercept at 5, name two ordered pairs that would fall on this line.
(2, 0) (0, 5)
(0, 2) (5, 0)
(2, 0) (2, 5)
(0, 2) (2, 5)
Based on the graph of the budget function with the x-intercept and the y-intercept, the two ordered pairs that would fall on this line are (2, 0) (0, 5).
What points fall on this line?The x-intercept is the point on the graph where the budget function would cross the x-intercept.
At this point, the value of y would be 0 because the x-axis intersects the y-axis at y = 0.
An x-intercept of 2 would therefore have the point, (2,0).
The y-intercept would be the point where the y axis is crossed. At this point, x will be zero because the y-axis intercepts the x-axis at the value, x = 0.
A y-intercept of 5 would therefore yield a point of (0, 5).
In conclusion, option A is correct.
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A man gets Rs. 40 for everyday he works, but is fined Rs. 10 for everyday he is absent If he got Rs. 700 at the end of 30 days. How many days he was absent from the work?
Answer:
50 days
Step-by-step explanation:
40×300=1200
1200-700
500
so 1 day is 10 . 50 days is 500
The number of days he was absent from work will be 50 days
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a man gets Rs. 40 for every day he works, but is fined Rs. 10 for every day he is absent If he got Rs. 700 at the end of 30 days.
The number of days he was absent from work will be calculated as below:-
40×300 = 1200
= 1200-700
= 500
1 day is 10 then 50 days is 500. Therefore, the number of days he was absent from work will be 50 days
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The graph of the step function g(x) = –⌊x⌋ + 3 is shown.
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 2, 5) to (negative 1, 5). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, negative 1) to (5, negative 1).
What is the domain of g(x)?
{x| x is a real number}
{x| x is an integer}
{x| –2 ≤ x < 5}
{x| –1 ≤ x ≤ 5
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.
The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:
{x| –2 ≤ x <= 5}
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Answer:
So I got 64 on my test, but it doesn't let you see what was right and what was wrong, so I guess we will never know☹️☹️☹️☹️.
BTW in was on edge
While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at a constant speed of 2. 4 m/s relative to the surface of the walkway, you decide to try to determine the speed of the walkway itself. You watch the child run on the entire 18-m walkway in one direction, immediately turn around, and run back to his starting point. The entire trip takes a total elapsed time of 32 s. Given this information, what is the speed of the moving walkway relative to the airport terminal?.
The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
How to estimate the speed of the moving walkway relative to the airport terminal?Let x be the speed of the walkway.
(2.8 + x) = speed of child moving in direction of the walkway
(2.8 - x) = speed of child moving against the direction of the walkway
Travel time = distance/speed
Travel time of child moving in direction of walkway = 23/(2.8+x)
Total elapsed time given = 29s
23/(2.8 + x)+ 23 / (2.8-x) = 29
LCD = (2.8 + x)(2.8 - x)
[tex]23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)[/tex]
simplifying the equation, we get
[tex]23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)[/tex]
[tex]23(2.8+2.8)/29=2.8^2-x^2[/tex]
[tex]x^2=(2.8)^2-(23*5.6)/29)=3.4[/tex]
[tex]x=\sqrt{3.4}=1.84m/s[/tex]
Speed of walkway = 1.84 m/s
The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
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A cell's expected frequency is: Group of answer choices the number of people in the cell's row multiplied by the number of people in the column the number of people in its column divided by the total number of people, divided by the row proportion the number of people in its row multiplied by the number in its column divided by the total number of people the number of people in the cell's row divided by the number of people in the column
A cell's expected frequency can be defined as the number of people in its row divided by the total number of people, multiplied by the number in its column and is therefore denoted as option C.
What is Frequency?This is defined as the number of occurrences of a repeating which takes place per unit time.It also helps to measure how frequent something occurs when counted or observed and is also used in the calculation of the different types of statistical data present or given.
This type of frequency is theoretical and are values which will most likely be in an experiment. it is calculated by multiplying the number in its column by the number of people in the row and dividing by the total number of people in this context.
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Two circles are shown in the diagram.
Circles C 1 and C 2 are shown. The diameter of circle 1 is 1. The diameter of circle 2 is 2 r.
Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = StartFraction 2 r Over pi EndFraction
Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
The correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]
How to determine the correct equation?The complete question is added as an attachment
The given parameters are:
d1 = 1
d2 = 2r
The circumferences of the circles are calculated as:
C = πd
This gives
C1 = π * 1 = π
C2 = π * 2r = 2πr
So, we have:
C1 = π
C2 = 2πr
and
d1 = 1
d2 = 2r
Divide both equations
[tex]\frac{C_2}{d_1} = \frac{C_2}{d_2}[/tex]
[tex]\frac{\pi}{1} = \frac{2\pi r}{2r}[/tex]
This gives
[tex]\frac{\pi}{1} = \frac{C_2}{2r}[/tex]
Hence, the correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]
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Answer:
Its A
Step-by-step explanation:
What is the image point of (-1, -8) after
the transformation ry=-x T4,-5?
Answer:
sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue
Step-by-step explanation:
hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh