The composition of functions evaluated in x = 11 gives:
g(f(11)) =1
How to find the value of g(f(11))?In this case, we know the values for the function f(x):
f(1) = 7f(5) = -3f(11) = -9And the values of g(x):
g(7) = 11
g(-3) = 6
g(-9) = 1
And we want to find the value of the composition of g(x) and f(x) evaluated at x = 11.
g(f(11))
We know that f(11) = -9, so we can replace that in the argument of g(x) above, then we will get:
g(f(11)) = g(-9)
And we know that g(-9) = 1
Then the value of the composition is:
g(f(11)) =1
Learn more about composition of functions:
https://brainly.com/question/10687170
#SPJ1
Order these numbers from least to greatest. 143 7 7.116, 6.67 20
We are given the following numbers
\(7\frac{1}{9},\: 7.116,\: \frac{143}{20},\: 6.67\)We are asked to arrange these numbers from least to greatest.
As you can see, the numbers are in different forms (decimal, fraction)
So, first we need to convert them into a single form then we can compare them
Let us convert all the numbers into decimals
\(\begin{gathered} 7\frac{1}{9}=\frac{7\cdot9+1}{9}=\frac{63+1}{9}=\frac{64}{9}=7.111 \\ \frac{143}{20}=7.15 \end{gathered}\)So the order from least to greatest is
6.67, 7.111, 7.116, 7.15
Now write the numbers in their original form
\(undefined\)I think of a number, double it, then subtract 13 , I get 73 . Evaluate the number I thought of.
Answer: 43
Step-by-step explanation:
Lets start with the result. First add the number you subtracted with 73
= 73+13=86
Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.
86/2= 43
Hence the Answer or the First Number was 43
HOPE IT HELPS AND PLS MARK BRAINLIEST
Next year, the company expects to have a production represented by the equation y = 4x.
Which of the following describes how the graph of the line would change if the company meets its goal?
A.
The line will be shifted up four units.
B.
The line will be shifted up two units.
C.
The slope of the line will be half as steep.
D.
The slope of the line will be twice as steep.
Giving Brainliest to anyone who can guess what my zodiac sign is!?
Answer:
scorpio
Step-by-step explanation:
Answer:
Taurus or Pisces?
Step-by-step explanation:
express the following shaded area using a definite integral. use geometry to calculate the area. please show work too
Answer:
Integrate( sqrt(9-x^2) from x=-3 to x=3)
Step-by-step explanation:
The equation for a full circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and radius is r.
Your center, your (h,k) is (0,0). Your radius, your r, is 3.
So your equation is (x-0)^2+(y-0)^2=3^2 or more simply x^2+y^2=9.
We also must consider we don't have full circle.
Solving for y will give us the circle in terms of top half if we take positive values and bottom half if we take negative values. Since y is positive in the picture, you only see top half, we will only take the positive cases for y.
Subtracting x^2 on both sides gives: y^2=9-x^2
Square root both sides: y= sqrt(9-x^2)
(I did not choose -sqrt(9-x^2) because again y is positive).
So the x's in the picture range from -3 to 3.
The integral is therefore,
Integrate( sqrt(9-x^2) from x=-3 to x=3)
Sabiendo que cos(α) = y que , calcula el valor de las demás razones trigonométricas del ángulo α.
Given that `cos(α) = y`, we need to find the values of the remaining trigonometric ratios of the angle α. To do so, we can use the following formulas.
Let's use these formulas to find the remaining trigonometric ratios of the angle α. Since we don't know whether α is in the first or second quadrant, we use the sign to account for both possibilities.
Again, we use the sign to account for both possible values of α, as we don't know whether α is in the first or second quadrant.
To know more about values visit :
https://brainly.com/question/30145972
#SPJ11
Find v.
Write your answer in simplest radical form.
Answer:
v=3√3in
Step-by-step explanation:
Answer:
3√3in c:
Step-by-step explanation:
There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 240 minutes, what will the population be 480 minutes from now? bacteria
What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4?
x=
Vertex:
Answer:
x = 2 and (2, 4 )
Step-by-step explanation:
The equation of a parabola in standard form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 2)² + 4 ← is in vertex form
with vertex = (2, 4 )
This is a vertical parabola, opening upwards and is symmetrical about the vertex.
The axis of symmetry is a vertical line with equation x = 2
According to the equation of the parabola, we have that:
The axis of symmetry is x = 2.The vertex is (2, 4).What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
\(y = a(x - h)^2 + k\)
In which a is the leading coefficient.
The axis of symmetry is x = h.
In this problem, the equation is:
\(f(x) = 3(x - 2)^2 + 4\)
Hence h = 2, k = 4, thus:
The axis of symmetry is x = 2.The vertex is (2, 4).More can be learned about the equation of a parabola at https://brainly.com/question/24737967
Find (hog)(-2)
h(x) = 3x
g(x) = 4x + 1
Answer:
h(-2)=-6
g(2)=-7
Step-by-step explanation:
Just plug 2 in for x and solve the equation.
a triangle whose side lengths are whole numbers has one side which measures 25 inches and a perimeter of 80 inches. what is the fewest number of inches that can be the length of one of the remaining sides?
Answer: The fewest number of inches that can be the length of one of the remaining sides is 2 inches.
Step-by-step explanation:
Let's denote the lengths of the other two sides as x and y, where x is the side we are looking for.
According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. Therefore, we have:
x + 25 > y and x + y > 25
We also know that the perimeter of the triangle is 80, so:
x + y + 25 = 80
Combining the second and third equations, we get:
x + y > 55
Substituting the third equation into the first inequality, we get:
80 - y > y - 25
Solving for y, we get:
y > 52.5
Since y must be a whole number, the smallest possible value for y is 53. Substituting this value into the equation x + y + 25 = 80, we get:
x + 53 + 25 = 80
Simplifying this equation, we get:
x = 2
Therefore, the fewest number of inches that can be the length of one of the remaining sides is 2 inches.
To know more about triangle inequality theorem refer here
https://brainly.com/question/1163433#
#SPJ11
What is the product? (6) (negative 12)
Answer:-72
Step-by-step explanation:
Multiply 6 and negative 12 and your answer is -72
Answer:
It's -72
Step-by-step explanation:
Just confirmed it and got it right.
4
A, B & C lie on a straight line.
BD = CD.
∠
BDC = 50° and
∠
ADB = 10°.
Work out
x
,
Answer:
x = 55degrees
Step-by-step explanation:
Find the diagram attached
Since triangle DBC is isosceles, the bse angles are equal. Let the base angles be y, hence;
y + y + <BDC = 180
2y + 50 = 180
2y - 180 - 50
2y = 130
y = 65
From triangle ADC;
x + < ADB + <BDC + <DCB = 180
x + 10 + 50 + 65 = 180
x+ 125 = 180
x = 180 - 125
x = 55degrees
Answer:
55
Step-by-step explanation:
=55
ℛ2 -> ℛ2 first performs a vertical shear that maps e1 into e1 3e2, but leaves the vector e2 unchanged, then reflects the result through the horizontal x1-axis.
The transformation from ℛ2 to ℛ2 involves a vertical shear that maps e1 to e1’ = (1, -3) and leaves e2 unchanged, followed by reflecting through the x1-axis.
To understand the transformation described, let’s break it down step by step:
Vertical Shear: This transformation maps the standard basis vector e1 = (1, 0) to e1’ = e1 + 3e2 = (1, 0) + 3(0, 1) = (1, 3). It leaves the vector e2 = (0, 1) unchanged.
Reflect through the x1-axis: This transformation involves reflecting the points in the plane across the x1-axis. Geometrically, this means that the y-coordinate of each point will be negated, while the x-coordinate remains the same. So, e1’ = (1, 3) will be reflected to e1’’ = (1, -3), and e2 = (0, 1) remains unchanged.
Therefore, the composition of the vertical shear followed by the reflection through the x1-axis maps the basis vectors as follows:
E1 -> e1’’ = (1, -3)
E2 -> e2 = (0, 1)
In matrix form, this transformation can be represented as:
| 1 0 | | 1 0 | | 1 0 |
| | x | | = | |
| 0 -1 | | 0 1 | | 0 -1 |
So, any vector v = (v1, v2) can be transformed by multiplying it with this matrix:
| 1 0 |
| | v = v’
| 0 -1 |
Where v’ is the transformed vector.
Learn more about Vector here: brainly.com/question/30958460
#SPJ11
Can Any One Help
WILL GIVE BRAINLIEST
1) A
Equations simplified:
A: y = 2x + 3
B: y = -3x + 3
2) Red is A, Blue is B
if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each should we combine to get 40 gallons of 5% concentrate solution
Answer:
30 gallons solution 4% and 10 gallons solution 8%
Step-by-step explanation:
x•4%+y•8%=40•5%4x+8y=40•5 and x+y=40
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
what is the value of x in the equation x^3=0.64
A.0.04
B.0.4
C.4
D. .08
D
since you are finding for X, and not x^3. Take cubic root of both sides to eliminate the index or power of 3. The cubic root of 0.64 is 0.861 approximately 0.9
help me please !!!!!!
Answer:
yes the answer is C ! none of the other answers are logical
3 (x-2) >-3
please help!!
when a has linearly independent columns and a = qr is a qr factorization, then the columns of q form an orthonormal basis for the column space of a.
The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).
What is meant by QR factorization?A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.
A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.
A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.
To learn more about QR factorization refer to:
https://brainly.com/question/22767840
#SPJ4
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
For more questions on this topic refer to this link:
https://brainly.com/question/6592115
#SPJ8
Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden
Answer:
6 pounds
Step-by-step explanation:
The area of Anna's garden = 180 square feet
From the question, we know that:
120 square ft = 4 pounds of fertilizer
180 square ft = y
Cross Multiply
120 × y = 4 × 180
y = 4 × 180/120
y = 720/120
y = 6 pounds
Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling.
Write an inequality that represents the total cost of Ben’s birthday for p, people given his budget (1 point)
Solve the inequality to see how many people Ben can pay for (including himself) while staying within the limitations of his budget? (2 points)
Graph the solution of the inequality from part (a)
Answer:
Step-by-step explanation:
Use the graph of quadrilateral ABCD to answer the question.
What type of quadrilateral is ABCD? Move segments and words ...
What can be said about a quadrilateral, if it is known that every one of its adjacent-angle pairs is supplementary
If every adjacent-angle pair in a quadrilateral is supplementary, then the quadrilateral must be a cyclic quadrilateral.
A cyclic quadrilateral is a quadrilateral that can be inscribed within a circle, with all four vertices lying on the circle. In a cyclic quadrilateral, the opposite angles are supplementary, meaning that the sum of each pair of opposite angles is equal to 180 degrees.
When it is stated that every adjacent-angle pair in a quadrilateral is supplementary, it implies that the sum of each pair of adjacent angles is also equal to 180 degrees. This condition can only be satisfied in a cyclic quadrilateral, as the sum of opposite angles is 180 degrees in such a quadrilateral.
In a non-cyclic quadrilateral, adjacent angles may or may not be supplementary, depending on the specific shape of the quadrilateral. However, if all adjacent-angle pairs are guaranteed to be supplementary, then the quadrilateral must be cyclic.
Therefore, if it is known that every adjacent-angle pair in a quadrilateral is supplementary, we can conclude that the quadrilateral is a cyclic quadrilateral.
Learn more about quadrilateral here:
https://brainly.com/question/3642328
#SPJ11
find the taylor polynomials p1, ..., p4 centered at a0 for f(x).
The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!
We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!
To know more about Taylor polynomials Visit:
https://brainly.com/question/30481013
#SPJ11
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278
The uniform distributed between a and b minutes.
The probability of finding a value above x is:
P(X > x) = \(\frac{b-x}{b-a}\)
The time is evenly distributed between 0 and 9 minutes.
This implies that a=0 , b=9
Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.
p(X > 4.25) = \(\frac{9-4.25}{9-0}\)
= 0.5278
There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.
To learn more about Probability:
https://brainly.com/question/11234923
#SPJ4
Theres a rectangle with the measurements of length 5 meters and width 3 meters, what would 3 meters and 5 meters be in a scale factor of 1 to 50 centimeters
When a scale factor of 1 to 50 centimeters is applied, the dimensions of the rectangle becomes 250cm and 150cm
What is the dimension of the rectangle using the scale factor?A scale factor provides information of the rate at which an image would be enlarged or decreased. Looking at the scale factor provided in the question, the rectangle is being decreased because centimeters is smaller compared to meters.
A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension using the scale factor.
To reduce the dimensions of the rectangle, multiply the scale factor by the given dimensions.
Length = 5 x 50 = 250cm
Width = 3 x 50 = 150cm
To learn more about scale drawings, please check: https://brainly.com/question/26388230
#SPJ1
Gabriela uses two mist nets to catch songbirds to study. Songbirds are captured and taken to a banding station. She then measures each bird before freeing the bird with a band on the right leg.
The banding station is 0.6 mi due east from the bunkhouse. The first net is 0.8 mi due north of the banding station. The second net is northwest of the banding station. Gabriela and her helpers walk the following loop to collect the birds from
the nets.
They walk from the banding station directly to the first net. From the first net, they go 0.5 mi north to the boundary of a park and then go 0.9 mi due west, where they are due north of the second net. They go due south to the second net and then return directly to the banding station along a straight line southeast.
The total distance covered by the loop is approximately 2.6 miles (0.8 + 0.5 + 0.9 + 0.4 + 0.8).
Gabriela uses two mist nets to catch songbirds for her study. After capturing the birds, she takes them to a banding station, measures each bird, and frees them with a band on their right leg. To collect the birds, Gabriela and her helpers walk a loop that begins at the banding station and includes the two nets. Here are the details of the loop:
The banding station is located 0.6 miles due east of the bunkhouse.
The first net is located 0.8 miles due north of the banding station.
The second net is located northwest of the banding station.
Gabriela and her helpers start at the banding station and walk directly to the first net.
From the first net, they walk 0.5 miles north to the boundary of a park.
From the park boundary, they walk 0.9 miles due west, so that they are due north of the second net.
They then walk due south to the second net.
Finally, they return directly to the banding station by walking southeast.
It's worth noting that the loop is not a perfect rectangle, as the path from the first net to the second net is diagonal. However, the total distance covered by the loop can be calculated by adding up the distances covered in each leg of the journey:
The distance from the banding station to the first net is 0.8 miles.
The distance from the first net to the park boundary is 0.5 miles.
The distance from the park boundary to due north of the second net is 0.9 miles.
The distance from due north of the second net to the second net is not given, but we know that the second net is northwest of the banding station, so it is reasonable to assume that this leg of the journey is less than 0.9 miles.
The distance from the second net back to the banding station is also not given, but we know that the loop is a closed loop, so this leg of the journey must be equal in length to the first leg (0.8 miles).
Therefore, the total distance covered by the loop is approximately 2.6 miles (0.8 + 0.5 + 0.9 + 0.4 + 0.8).
for such more question on distance
https://brainly.com/question/12356021
#SPJ11
Carbon dioxide is an example of a molecule where the component atoms of carbon and oxygen are held together by chemical bonds. Which statement correctly describes the reason for these chemical bonds?(1 point)
The reason for chemical bonds that hold together the component atoms of carbon and oxygen in carbon dioxide is that content loaded carbon dioxide is an example of a molecule that results from the sharing or exchanging of electrons between the component atoms.
A chemical bond is defined as a force of attraction that holds atoms together in a molecule or compound. Carbon dioxide, a colorless gas with a density about 60% greater than that of dry air, is a molecule composed of one carbon atom and two oxygen atoms. The component atoms of carbon and oxygen are held together by chemical bonds in carbon dioxide.
These chemical bonds result from the sharing or exchanging of electrons between the component atoms, which is the reason for the formation of chemical bonds in molecules.
The carbon dioxide molecule consists of two double bonds between the carbon atom and the two oxygen atoms.
to know more about atoms visit :
https://brainly.com/question/29712136
#SPJ11
Fiona bought a house three years ago at the price of $150,000. Today the house is worth $160,000. Fiona still owes $110,000 on the home's mortgage loan. What is Fiona's current equity in her home?
Answer:
$50,000
Step-by-step explanation:
Here, we are interested in calculating Fiona’s current equity in her home.
The term equity in this case simply refer to how much is own in the present value of the house by the owner who took the mortgage.
To calculate this, we start by subtracting how much is left of the mortgage from the present house value.
How much left of the mortgage is $110,000 while the current house value is $160,000
Thus the current equity is 160,000 - 110,000 = $50,000