Let's start with a basic function, denoted as f(x), and apply the given transformations step by step.
1. Shifting left 1 unit:
To shift the graph 1 unit to the left, we replace x with (x + 1). Therefore, the function becomes f(x + 1).
2. Vertically stretching by a factor of 6:
To vertically stretch the graph by a factor of 6, we multiply the function by 6. The function now becomes 6 * f(x + 1).
3. Shifting up 2 units:
To shift the graph up 2 units, we add 2 to the function. The final formula is:
f(x) = 6 * f(x + 1) + 2.
So, the formula for the function, after applying the given transformations, is 6 * f(x + 1) + 2.
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TRUE/FALSE. post-implementation evaluation primarily is concerned with assessing the quality of a new system.
True. Post-implementation evaluation refers to the process of evaluating the performance and effectiveness of a new system after it has been implemented.
It involves assessing the extent to which the system meets the intended objectives, as well as its overall quality and impact on the organization. The evaluation can be carried out through various methods such as user feedback, performance metrics, and system testing.
Therefore, post-implementation evaluation is primarily concerned with assessing the quality of a new system and its ability to deliver the expected benefits to the organization.
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It is known that the occurrence of event A is dependent on whether event B occurs. If P(A|B)=xP(A|B)=x and P(B)=yP(B)=y, then P(A∩B)P(A∩B) in terms of x and y is equal to
Select one:
A. x+yx+y
B. x−yx−y
C. x+y−xyx+y−xy
D. xy
the value of P(A∩B) in terms of x and y is xy.
The correct option is D. xy.
To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).
Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:
P(A∩B) = P(A|B) * P(B)
= x * y
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help with these please!
In right triangle ABC, m∠ B ≠ m∠ C. Let sin B = r and cos B = s.
What is sin C – cos C?
Draw and label a diagram.
sin A = CB / AB
cos B = CB / AB
sin A = cos B
2x - 1.3 = 5x
Can you solve for x and answer?
The value of expression sin C - cos C is,
⇒ r - s
What is mean by Triangle?Triangle is a three sided polygon, which has three vertices and three angles and which has sum 180 degrees.
Given that;
In right triangle ABC,
⇒ m∠ B ≠ m∠ C.
Let us assume that,
⇒ sin B = r
And, cos B = s.
Now, We get;
sin B = rh / h
= r
And, cos B = sh / h
= s
Hence, We can formulate;
sin C = sh / h = s
cos C = rh / h = r
Thus, We get;
⇒ sin C - cos C
⇒ r - s
Therefore, The value of expression sin C - cos C is,
⇒ r - s
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Help complete the square in picture please 20 points
Answer:
x = 3 +√43, x = 3 - √43
Step-by-step explanation:
x^2 - 6x - 34 = 0
move the 34 across
x^2 - 6x = 34
take -6 and divide by two, then square it
(-6/2)^2 = 9
add the product to your equation
x^2 - 6 + 9 = 34 + 9
solve
(x - 3)^2 = 43
x - 3 = ± √43
x = 3 ± √43
El tiempo que le toma a los estudiantes de Artes culinarias la confección de un bizcocho,100 polvores y 10 flanes está distribuido normalmente con una media de 240 minutos y una desviación estándar de 20 minutos. La maestra de artes culinarias tiene 90 estudiantes
1. Que porcentaje de los alumnos se tardan más de 260 minutos en la confección de los postres?
2. Cuantos alumnos tardan más de 260 minutos en la confección de los postres?
3. Que porcentaje de los alumnos se tardan entre 220 y 260minutos en la confección de los postres?
4. Cuantos alumnos tardan entre 220 y 260 minutos en la confección de los postres?
(1) 24.15% of the students take more than 260 minutes (2) Approximately 22 students take more than 260 minutes. (3) 69.15% of the students take between 220 and 260 minutes to make the desserts. (4) Approximately 62 students take between 220 and 260 minutes to make the desserts.
1)To find the percentage of students who take more than 260 minutes, we need to find the area to the right of 260 on the normal distribution curve. Using a standard normal table or calculator, we find that this area is 0.1587 or 15.87%.
2) To find the number of students who take more than 260 minutes, we need to multiply the percentage from part 1 by the total number of students: 0.1587 x 90 = 14.28. Rounding to the nearest whole number, we get 14 students.
3) To find the percentage of students who take between 220 and 260 minutes, we need to find the area between these two values on the normal distribution curve. Using a standard normal table or calculator, we find that this area is 0.4772 or 47.72%.
4) To find the number of students who take between 220 and 260 minutes, we need to multiply the percentage from part 3 by the total number of students: 0.4772 x 90 = 42.95. Rounding to the nearest whole number, we get 43 students.
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The completee question is :
The time it takes Culinary Arts students to make a sponge cake, 100 powders, and 10 flans is normally distributed with a mean of 240 minutes and a standard deviation of 20 minutes. The culinary arts teacher has 90 students.
1. What percentage of the students take more than 260 minutes to make the desserts?
2. How many students take more than 260 minutes to make the desserts?
3. What percentage of the students take between 220 and 260 minutes to make the desserts?
4. How many students take between 220 and 260 minutes to make the desserts?
which expression is not equivlent to 8 + ( n - 4)
Answer: The expression which is not equivalent to (8 + (n - 4)) is (12+n) and this can be determined by using the arithmetic operations.
Given :
Expression - 8 + (n - 4)
To simplify the given expression following steps can be used:
Step 1 - Rewrite the given expression.
= (n - 4) + 8
Step 2 - Now, remove the parenthesis in the given expression.
= n - 4 + 8
Step 3 - Now, write 8 as the addition of 4 and 4.
= n - 4 + 4 + 4
Step 4 - Subtract 4 by 4.
= n + 4
is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4
The area of a circle with radius 4 is 50.24.
Writing the equation form for area and radius of two circles -
(Area/radius²) for circle 1 = (Area/radius²) for circle 2
Keep the values in the relation to find the area of small circle.
314/10² = Area/4²
Area = (314 × 16)/100
Performing multiplication on Right Hand Side of the equation to find the area of circle
Area = 5024/100
Performing division on Right Hand Side of the equation to find the area of circle
Area = 50.24
Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.
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pls show work?!!!!!!!
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
HELP PLEASE!! there is a .03 chance that Kelly will win the raffle at school. What is the probability that Kellie will not win the raffle?
Answer:
Fraction: 97/100
Decimal: 0.97
Percentage: 97%
Step-by-step explanation:
Hope this helped.
97% you just need to substract
What is differentiation ?
Answer:
differentiate
for example what is difference between this and that
A circle labeled Internal Medicine Doctors. It is connected to 4 other circles. Circle 1 is labeled Veterinarians. Circle 2 is labeled Epidemiologists. Circle 3 is labeled Virologists. Circle 4 is labeled Food Investigators. This web diagram presents different types of internal medicine doctors. Why is a web diagram a good choice for illustrating this information? A web diagram allows pictures to help with understanding. A web diagram shows what connects these different types of doctors. A web diagram compares and contrasts the doctors best. A web diagram looks best on the page.
Answer:
B
Step-by-step explanation:
I got it right on the assignment
Hope this helps :)
Answer:
B. A web diagram shows what connects these different types of doctors.
Step-by-step explanation:
Write the slope intercept form of the equation with the given point and slope m=5 through (-1,-3)
Answer:
Y = 5x + 2
Step-by-step explanation:
Y= Mx + b
a sample of 100 information systems managers had an average hourly income of $41.00 with a standard deviation of $9.00. find the standard error of the mean.
The standard error of the mean for this sample of information systems managers is $0.90.
To find the standard error of the mean, we use the formula:
Standard Error of the Mean = standard deviation / square root of sample size
In this case, the standard deviation is $9.00 and the sample size is 100, so we can plug in these values:
Standard Error of the Mean = 9 / √100
Standard Error of the Mean = 0.9
Therefore, the standard error of the mean for this sample of information systems managers is $0.90.
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Help me please i need you help
The mean and standard deviation of the data sets are;
a. 60.83, 15.11
b. 44, 4.03
c. 7.2, 3.7
d. 114.4, 10.74
What is mean and standard deviation of data?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The mean of a data is the average of the data across the points.
a. data set; 35, 50, 60, 75, 65, 80
mean = 60.83
standard deviation = 15.11
b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39
mean = 44
standard deviation = 4.03
c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7
mean = 7.2
standard deviation = 3.7
d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125
mean = 114.4
standard deviation = 10.74
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the length of a room is 4 metres longer its width. find the length of the room if its area is 32cm^2
Answer:
length = 8 m
Step-by-step explanation:
note the area of a room cannot be 32 cm²
so you must mean area = 32 m²
let the width be w then length is w + 4
area (A) of a rectangular room is calculated as
A = length × width
given A = 32 , then
w(w + 4) = 32
w² + 4w = 32 ( subtract 32 from both sides )
w² + 4w - 32 = 0 ← in standard form
(w + 8)(w - 4) = 0 ← in factored form
equate each factor to zero and solve for w
w + 8 = 0 ⇒ w = - 8
w - 4 = 0 ⇒ w = 4
but w must be greater than zero, so w = 4
length = w + 4 = 4 + 4 = 8 m
Do the one you would like please show work
Answer:
8. 12 hours
Step-by-step explanation:
1/6+1/x+1/4
1/x=1/4-1/6
1/x=3/12-2/12
1/x=1/12
x=12
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?
The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
Volume of SphereGiven Data
Circumference = 8πLet us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
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What is the probability of getting a fish taco (crunchy or soft)?
The probability of getting a fish taco (crunchy or soft) is 0.2.
What is the probability?Probability is identifiable as the measure of the probable likelihood or chance of a particular event manifesting itself. As a matter of mathematical fact, it serves to quantitatively assess and analyze uncertainty in occurrences ranging from gambling and random contests to atmospheric predictions and scientific breakthroughs.
Since there are 20 taco fish out of 100. The probability of getting a fish taco (crunchy or soft) is:
= 20 / 100
= 0.2.
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There are 20 taco fish out of 100. What is the probability of getting a fish taco (crunchy or soft) is 0.2.
One day I asked the son of my close friend his age the child replied in a different way he said one year ago my dad was 8 times as old as me and now his age is equal to square of my age represent this in form of quadratic eq
Answer:
\(x^2 - 8x + 7 = 0\)
Step-by-step explanation:
Let the boy's present age be x.
Let his dad's present name be y.
Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:
(y - 1) = 8(x - 1) ______ (1)
Now, his dad's age is the square of his age:
y = \(x^2\) _________(2)
From (1):
y = 8x - 8 + 1
y = 8x -7
Put this in (2):
\(8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0\)
This problem has been represented in the form of a quadratic equation.
Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor? PLSS HELP!
Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft
A _____________ is a line that provides an approximation of the relationship between the variables.
Answer:
srat
Step-by-step explanation:hehe i really dont know
5+ 2/3×= -x+20. This is equations with variables in both sides pls help fast I'll mark as brainliest
Answer:
x = 9
Step-by-step explanation:
5+ 2/3x= -x+20.
Add x to each side
5+ 2/3x +x= -x+x+20
5 + 2/3x+3/3x = 20
5 + 5/3x = 20
Subtract 5 from each side
5+5/3x -5 = 20-5
5/3x = 15
Multiply each side by 3/5
3/5 * 5/3x = 15*3/5
x = 9
Answer:
Step-by-step explanation: 5+2/3x= -x+20
-5. -5
2/3x= -x +15
+x +x
1 2/3x/1 2/3 = 15/1 2/3
X=9
How to divide exponents with different bases and powers.
To divide exponents with different bases and powers, you need to first factor out the common factors from the exponents. This will help you simplify the expression and make it easier to solve.
For example, let's say you have the expression 4x^3 / 2x^2. To divide these exponents, you need to factor out the common factors. In this case, the common factor is x^2, so you can simplify the expression as follows:
4x^3 / 2x^2 = (4/2) * (x^3/x^2) = 2x^(3-2) = 2x
So the answer is 2x.
In general, to divide exponents with different bases and powers, you need to:
1. Factor out the common factors from the exponents
2. Divide the coefficients (if there are any)
3. Subtract the exponents of the common factors
By following these steps, you can easily divide exponents with different bases and powers.
To divide exponents with different bases and powers, follow these steps:
1. Convert the bases to their prime factorization (if needed).
2. Divide the exponents with the same base by subtracting the exponent in the denominator from the exponent in the numerator.
3. Combine the results back together as a simplified expression.
Remember, you can only directly divide exponents with the same base. If bases are different, you'll need to factorize them to find common factors.
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PLEASE HELP!
How much blood is in your body if it masses at 6.36x10³ grams and has a density of 1.06 g/cm³.
Answer:
6000 grams
Step-by-step explanation:
Density equals mass over volume, which means 6.36*1000/1.06=the volume. 6360/1.06=6000
i need helppppp please
I Need help on the same thing
A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
The smallest positive number that is evenly divisible by all of the numbers from 1 to 20 is 232792560.
To find the smallest positive number that is evenly divisible by all of the numbers from 1 to 20, we need to find the prime factorization of each number from 1 to 20.
Then, we can take the highest power of each prime factor and multiply them together to get the answer.
Prime factorization of each number from 1 to 20:
- 1 = 1
- 2 = 2
- 3 = 3
- 4 = 2^2
- 5 = 5
- 6 = 2 * 3
- 7 = 7
- 8 = 2^3
- 9 = 3^2
- 10 = 2 * 5
- 11 = 11
- 12 = 2^2 * 3
- 13 = 13
- 14 = 2 *7
- 15 =3*5
-16=2^4
-17=17
-18=2*3^2
-19=19
-20=2^2*5
Taking the highest power of each prime factor:
- 2^4 (from numbers: 4, 8, 16, and 20)
- 3^2 (9, and 18)
-5 (5, and 20)
-7 (7)
-11(11)
-13(13)
-17(17)
-19(19)
Multiplying these together gives us:
(2^4) x (3^2) x (5) x (7) x (11) x (13) x (17) x (19) = 232792560
Therefore, the smallest positive number that is evenly divisible by all of the numbers from 1 to 20 is 232792560.
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How many triangles can be created with angle measures of 135 degree, 45 degrees, and 10 degrees? a one unique triangle. b no triangles. c more than one unique triangle. d cannot be determined.
The triangles can be created with angle measures of 135 degree, 45 degrees, and 10 degrees is b. no triangles.
About triangleTo create a triangle, the sum of the angle measures must equal 180 degrees. However, the given angle measures of 135 degrees, 45 degrees, and 10 degrees add up to 190 degrees, which is greater than 180 degrees.
Therefore, it is not possible to create a triangle with these angle measures.
Triangle: A geometric figure with three sides and three angles.
Angle: The amount of rotation between two lines that intersect at a common point.
Degrees: A unit of measurement for angles. There are 360 degrees in a circle.
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Calculate the surface area of the gas
tank.
If your answer is a decimal, give it to 1dp
LOOK AT PHOTO
Help me please!!!
The surface area of the gas tank capsule represented to 1 dp is about 9079.2 cm²
What is the surface area of a solid object?The surface area of a solid object is the area of all the faces of the object.
Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm
Therefore;
Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm
The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;
Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π
Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²
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