The graph of g(x) is a transformation of the graph of f(x) = 4² the equation for g(x) is
g(x) = -(4^2) = -16.
What is the equation for g(x)?Generally, If the graph of g(x) is a transformation of the graph of f(x) = 4^2, then g(x) is also a function that takes an input and produces an output.
However, the specific form of the function g(x) will depend on the transformation that has been applied to the graph of f(x).
Without knowing more about the transformation that has been applied, it is not possible to determine the equation for g(x). Some common transformations that might be applied to the graph of a function include shifts (up/down, left/right), stretches/compressions (vertical/horizontal), and reflections (across the x-axis, y-axis, or origin).
For example, if the transformation applied to the graph of f(x) = 4^2 was a vertical stretch by a factor of 2, the equation for g(x) would be g(x) = 2*(4^2) = 16. If the transformation was a reflection across the y-axis, the equation for g(x) would be g(x) = -(4^2) = -16.
Without knowing more about the specific transformation that was applied, it is not possible to determine the equation for g(x).
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A rectangular garden is 10 2/7 feet by 5 4/9 . What is the area of the garden?
Answer:
50 8/63
Step-by-step explanation:
10*5=50
when multiplying fractions we have to multiply the numerators, then multiply the denominators.
2*4=8
7*9=63
hope this helps =3
sorry if im wrong
Which expression can be used to find the volume of the figure below?
5 cm
10 cm
12 cm
5 cm
3 cm
Choose 1 answer:
A
(5 cm x 12 cm x 5 cm) + (3 cm x 10 cm x 12 cm)
B
(5 cm x 5 cm x 3 cm) + (3 cm x 10 cm)
(12 cm x 5 cm x 5 cm) + (5 cm x 3 cm x 10 cm)
(5 cm x 12 cm x 5 cm) + (3 cm x 10 cm)
Answer:
Area of rectangle is L*W*H
therefore, (5 cm x 12 cm x 5 cm) + (3 cm x 10 cm x 12 cm) is the answer.
Step-by-step explanation:
Which fractions have a LCD of 84? A. 3/4, 1/7, 1/6 B. 2/3, 1/6, 1/42 C. 2/27, 1/7, 1/3 D. 2/3, 1/6, 1/7
Hope this helped you!
/21 and /84
/28 and /42
/28 and /84
/42 and /84
/84 and /84
Answer:
Any with denominators of which their lowest common multiple is 84; for pairs of fractions these are:
whole numbers and /84
/2 and /84
/3 and /28
/3 and /42
/3 and /84
/4 and /21
/4 and /42
/4 and /84
/6 and /28
/6 and /84
/7 and /12
/7 and /84
/12 and /14
/12 and /21
/12 and /28
/12 and /42
/12 and /84
/14 and /84
/21 and /28
There are further possible fractions when there are three at a time, and so on upwards. With 12 fractions at a time they can all have different denominators, namely:
whole numbers, /2, /3, /4, /6, /7, /12, /14, /21, /28, /42 and /84
Though there are other possibilities with one or more repeated denominators.
With 13 or more fractions, some of them of necessity will have the same denominator since there are only 12 factors of 84, namely: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 & 84.
The fractions having the lowest common denominator of 84 will be 3/4, 1/7, and 1/6. The correct option is A.
What are fractions?The fraction is defined as the division of the whole part into an equal number of parts. In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.
The lowest common factor of 84 will be calculated as below:-
3/4, 1/7, 1/6
Take the numbers in the denominator and find the common factor between them.
4, 7, 6
Divide by 2, to get 2, 7, 3
Divide by 2 to get 1, 7, 3
Divide by 7 to get 1, 1 , 3
Divide by 3 to get 1 , 1, 1
Multiply all the numbers by which it is divided.
LCD = ( 2 x 2 x 7 3 ) = 84
Therefore, the fractions having the lowest common denominator of 84 will be 3/4, 1/7, and 1/6. The correct option is A.
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In ΔJKL, the measure of ∠L=90°, LK = 65, KJ = 97, and JL = 72. What is the value of the sine of ∠K to the nearest hundredth?
Answer:
To find the sine of angle K in triangle JKL, we can use the formula:
sin(K) = opposite/hypotenuse
In this case, side JL is the hypotenuse and side LK is the opposite side of angle K.
Using the Pythagorean theorem, we can find the length of side JL:
JL^2 = LK^2 + KJ^2
JL^2 = 65^2 + 97^2
JL^2 = 16,690 + 9,409
JL^2 = 26,099
JL = √26,099
JL ≈ 161.54
Now we can find the sine of angle K:
sin(K) = opposite/hypotenuse
sin(K) = LK/JL
sin(K) = 65/161.54
sin(K) ≈ 0.402
Therefore, the sine of angle K in triangle JKL is approximately 0.40 when rounded to the nearest hundredth.
The value of sin of ∠k is 0.74.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the sine function to find the value of sin(∠K).
sin(∠K) = opposite/hypotenuse
In ΔJKL,
The hypotenuse is Jk, which is 97.
The opposite side of ∠K is LJ, which is 72.
Therefore.
sin(∠K)
= JL/KJ
= 72/97
= 0.74
Thus,
The value of sin of ∠k is 0.74.
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- >
2X 14
2x 6 x 6 > 14
14 - 6
-2
- 2x o 7 8
X - 4
0 4)
3(244) + 1) 2 (2y 3) 8
Answer:
no te entiendo, puedes escribir la pregunta completa
Latex paint sells for $27 per gallon and will cost you $270 to paint your room. If each gallon will cover 350 square feet, how many square feet of wall space do you have in your room?
Answer:
3500
Step-by-step explanation:
(270/27)× 350= 10 x 350
HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH
Answer:
I think the answer is D
Step-by-step explanation:
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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Use the simple interest formula to determine the missing value.
p = ? r = 6% t = 3 months i= 21$
Answer:
p = 1,400
Step-by-step explanation:
Simple Interest Formula:In the simple interest rate formula, each year the same amount of interest is applied, as it's based off the initial amount invested and the interest rate.
\(I=P*r*t\)
Where "r" is the interest rate, "t" is time, and "p" is the principle amount, or initial amount invested.
We're given the following values:
r = 6% = 0.06t = 3 monthsi = 21Now the only thing is generally speaking, interest is applied annually rather than monthly. So we would need to convert the 3 months into years, which we can do by dividing by 12, giving us: 0.25 years
So we actually have: t = 0.25 years
Now from here we can plug in known values, and leave anything we don't know alone. So we start with our initial formula of:
\(I=P*r*t\)
Now from here we plug in i = 21, t = 0.25, r = 0.06 and leave "P" as "P"
\(21=P*0.25*0.06\)
Now let's simplify the multiplication on the right side:
\(21 = 0.015P\)
Divide both sides by 0.015:
\(1,400=P\)
And now we have our missing value!
A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distributed and the standard deviation for the times is half an hour. Use Desmos to find the probability to four decimal places that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day. Provide your answer below:
The probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day is approximately 0.5448, or 54.48%.
To find the probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day, we will use the normal distribution with a mean (µ) of 2 hours and a standard deviation (σ) of 0.5 hours.
Follow these steps:
1. Convert the given hours to z-scores:
For 1.8 hours: z1 = (1.8 - µ) / σ
= (1.8 - 2) / 0.5
= -0.4
For 2.75 hours: z2 = (2.75 - µ) / σ = (2.75 - 2) / 0.5 = 1.5
2. Use Desmos to find the probabilities corresponding to the z-scores:
In Desmos, type: normalCDF(-0.4, 1.5, 0, 1)
This will give you the probability between z1 and z2.
3. The result is approximately 0.5448.
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the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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WILLL GIVE ALL MY POINT PLUS MARK BRAILIEST PLS HELP ASAP TY <3
Answer:
The unknown integer that solves the equation is 6.
Step-by-step explanation:
In order to find the missing number, we can set up an equation as if we are solving for x.
x + (-8) = -2
Add 8 on both sides of the equation.
x = 6
So, the unknown integer is 6.
Answer:
6
Step-by-step explanation:
6 plus -8 is -2
4. The parents made pies for the school bake sale to pay for the next field trip.
They made 55 apple pies and 45 blueberry pies. How many pies did they make
altogether? Estimate first, then solve.
The total number of pies they made altogether is 100.
How many pies did they make altogether?
In order to determine this value, add the number of blueberry pies with the number of apple pies. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The total number of pies = 55 + 45 = 100 pies
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Difference of two numbers is 19. If the smaller number is 18, find the greater
number.
Step-by-step explanation:
At first let's understanding the question,
In this following questions it has given that;
Difference of two numbers is 19. If the smaller number is 18, we have to find the greater
number.
According to the question:-
let the Greater no is =G
in question, The smaller no is =18
The difference of two no is =19
Solution:-
From the question,
Difference between two no=19Greater no - Smaller no =19G -18=19G =19+18G= 37Final answer:-
\(\therefore\) The greater no is 37.
Your iron works has contracted to design and build a 500-ft^3, square-based, open-top, rectangular steel holding tank for a paper company. The tank is made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that will make the tank weigh as little as possible. What dimensions do you tell the shop to use?
The dimensions for the base and height that will make the tank weigh as little as possible are 10 feet and 5 feet, respectively
How to determine the dimensions to use?From the question, we have the following parameters that can be used in our computation:
Volume = 500 cubic feet
Base = square base
This means that the volume can be calculated using
V = b²h
Where
b = base length
h = height
So, we have
b²h = 500
Make h the subject
h = 500/b²
The surface area is calculated as
A = 4bh + b²
Substitute h = 500/b² in A = 4bh + b²
A = 4b(500/b²) + b²
Evaluate
A = 2000/b + b²
Differentiate and set to 0
-2000/b² + 2b = 0
So, we have
2b = 2000/b²
Divide by 2
b = 1000/b²
Multiply by b²
b³ = 1000
So, we have
b = 10
Substitute b = 10 in h = 500/b²
h = 500/10²
Evaluate
h = 5
Hence, the height is 5 feet
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\(\frac{25}{50}\) = ?
And show the steps of how you came to your answer.
Answer:
1))
25
50.
we know that 25×1 = 25
25×2 = 50
so the numerator will be 1 ,
and denominator will be 2.
So your answer is 1/2.
2))
28
50
We know that 14×2 = 28
25×2 =50.
so the numerator will be 14 ,
and denominator will be 25.
So your answer is 14/25.
En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
Prove that Newton-Raphson method for solving the equation \(x^{k} e^{x} = 0\) (where k is constant) is given by this formula: \(x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}\)
We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula
\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)
we can start by considering the iterative process of the Newton-Raphson method.
Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)
The Newton-Raphson method involves the following steps:
Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)
Find the next approximation x_{n+1} by using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Let's apply these steps to our equation \(x^k e^x = 0\):
Calculate the function value and its derivative:
\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)
Find the next approximation x_{n+1} using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Substituting the function value and its derivative:
\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)
Simplifying the expression by combining like terms:
\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)
Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
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FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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5-2: MathXL for School: Practice & Problem Solving
Find 3 ratios that are equivalent to the given ratio.
2:9
Find 3 ratios that are equivalent to the given ratio.
The 3 ratios that are equivalent to the given ratio. 2:9 are: 2:9 ≡ 4:18 ≡ 1:3
What is ratio?You should know that Ratios are used to compare numbers. Also, Equivalent ratios have different numbers but represent the same relationship
Using Multiplication we have
2:9 = 2/9 * 2/2
This gives (2*2)/(9*2)
⇒4/18
So 4:18 is equivalent to 2:9
Using division we have
2:9 = 2/9 = (2/9) ÷(2/3)
This implies (2/2) ÷ (9/3)
⇒1/3
Therefore, 2:9 ≡ 4:18 ≡ 1:3
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what are the assymptotes of this equation
A train journey is approximately 150 miles.
How many centimetres will it be on a map with a scale of 30 miles = 1 cm?
==========================================================
Explanation:
The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.
So we need to multiply both sides of the equation
30 miles = 1 cm
by 5 and we get
5*(30 miles) = 5*(1 cm)
150 miles = 5 cm
--------------------
Another way to solve:
This involves proportions
Let x be the distance on the paper map that corresponds to 150 miles
(150 miles)/(x cm) = (30 miles)/(1 cm)
150/x = 30/1
150*1 = x*30 .... cross multiply
150 = 30x
30x = 150
30x/30 = 150/30 ... divide both sides by 30
x = 5 cm is the distance on the paper map
HELP MEEEE
Select the correct answer. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received? A. s + 12 = 96 B. s × 12 = 96 C. s + 96 = 12 D. s × 96 = 12
Answer:
B s x 12 = 96
Step-by-step explanation:
Let x equal the number of strawberries to each person
s x 12= 96 Divide both sides by 12
\(\frac{s x 12}{12}\) = \(\frac{96}{12}\)
s = 8 Check
8 x 12 = 96
Each person received 8 strawberries.
Helping in the name of Jesus.
Paul designed a patio for his backyard. The patio will cost
$3 per square foot to construct. His design and the scale
he will use to build the patio are both shown below.
How much will Paul spend constructing the patio?
Scale
1 cm = 3 ft.
5 cm
4 cm
8 cm
dollars
6.4 cm
Paul will spend $1,382.4 constructing the patio.
Looking at the design, we can see that the length of the patio is represented by 8 cm, and the width is represented by 6.4 cm. To convert these measurements to feet, we multiply them by the scale factor:
Length = 8 cm * 3 ft/cm = 24 ft
Width = 6.4 cm * 3 ft/cm = 19.2 ft
The area of the patio is calculated by multiplying the length and width:
Area = Length * Width = 24 ft * 19.2 ft = 460.8 ft²
The cost to construct the patio is $3 per square foot. Therefore, Paul will spend:
Cost = Area * Cost per square foot = 460.8 ft² * $3/ft² = $1,382.4
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PLEASE HELP ASAPPP!!! tank youuu
A~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
a
Step-by-step explanation:
The person above got it right give brainliest to her/he
this one is really hard
Answer:
W=P-2L / 2
Step-by-step explanation:
P=2(L+W)
P=2L+2W
-2L -2L
P-2L=2W
W=P-2L / 2
Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
\(\rm \theta \\\) = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
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help................................................
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.
solve for x 3x + 6y = 9
Solve for x -3x-3=-3(x+1)
Step-by-step explanation:
\( - 3x - 3 = - 3(x + 1) \\ - 3x - 3 = - 3x - 3 \\ - 3x + 3x = - 3 + 3 \\ 0 = 0\)
Step 1: Use 3 to open the bracket
Step 2 : Collect like terms and simplify
Answer = 0