The difference between the functions give:
(f - g)(1) = f(1) - g(1) = -3
How to find the difference between the functions?
For two functions f(x) and g(x), the difference is defined as:
(f - g)(x) = f(x) - g(x).
Then:
(f - g)(1) = f(1) - g(1)
By looking at the given tables, we know that:
f(1) = -2
g(1) = 1
Replacing that we get:
(f - g)(1) = f(1) - g(1) = -2 - 1 = -3
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dog is congruent to GED?
Answer:
Yes
Step-by-step explanation:
The Angles are the exact same.
Hope I helped! Please leave a review or rating!
which equation has the soluion x=4
Answer:
3x=12
Step-by-step explanation:
3 times X with x being 4 making it 12 so X=4 and 3x=12
Please Help!
The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.
From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?
-3s
-6s
-16s or
-32s
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
What is a periodic function?
A periodic function is a function that repeats itself at regular intervals. The period of this function is the time taken to complete one oscillation while the amplitude is the distance from the origin to peak.
From the diagram:
Time taken for the weight to bounce one direction, then the other, and then return to its resting position = 7.5s - 1.5 s = 6 s
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
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Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. If needed, when typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (7-14p)(7+14p) This simplifies to: AnswerThe degree of our simplified answer is:
Given:
The expression is,
\((7-14p)(7+14p)\)The objective is to find the product of the expression and the degree.
Explanation:
The product can be determined as,
\(\begin{gathered} (7-14p)(7+14p)=7(7)+7(14p)-7(14p)-(14p)(14p) \\ =49+0-196p^2 \\ =-196p^2+49 \end{gathered}\)In the above obtained result, the highest order of p is 2.
Hence, the product of the expression is (-196p
Which of the following is a polynomial?
Answer:
(D.) 3x^2 + 6x
Step-by-step explanation:
the other options aren't complete and some don't even create a parabola.
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answer:
90 berries
Step-by-step explanation:
Write in Slope Intercept Form :-)
Pls help
Me i have alot and this is due tomorrow
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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PLEASE HELP 20 POINTS
Answer:
43 3/4 cups of cheese
8 3/4 cups of olives
26 1/4 cups of sausage
Step-by-step explanation:
Answer:
43 3/4 cup of cheese
26 3/4 cups of olives
8 1/3 cups of sausageThe box plots below show the distribution of salaries at two companies. Compare the ranges and medians of the data sets.
OA
Comp
LLL
Company A
Company B
The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.
The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.
This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.
The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.
This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.
In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.
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Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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I am a 2 digit number.I have six in the one place.I am less than 24.What number am I talking about?
Answer:
16
Step-by-step explanation:
The digit '6' is in the ones place.
It is a 2 digit number so the number is between 10 and 24.
=> 16
Please help with math problem give 5 star if do
Answer:
\(-23^\frac{1}{3}\)
Step-by-step explanation:
\(-23^\frac{1}{3}\) degrees is below zero.
Answer:
A) -23 1/3
Step-by-step explanation:
Any number or degree below 0 will be presented with a "-".
Example:
-3
Since the number is presented below 0, it will be shown as -23 1/3
Therefore, A would be the correct answer.
-kiniwih426
determine which lines, if any, must be parallel.
a. L || m
b. m || p
c. n || p
d. none of the lines are parallel.
Answer:
I would like to believe it's l and m
n and p
using the disk method, determine the volume of a solid formed by revolving the region bounded above by the line , on the left by the line , on the right by the curve , and below by the line the about the -axis.
The volume of a solid formed by revolving the region bounded above by the line is (932π/15)
To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.
The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:
\(r = y^2 - 1\)
The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:
h = 3 - 1 = 2
The volume of each disk is then:
\(dV = \pi r^2h dy\)
Substituting r and h, we have:
\(dV = \pi (y^2 - 1)^2 (2) dy\)
To find the total volume, we integrate over the range of y from 1 to 3:
\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)
This integral can be simplified by expanding the squared term:
\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)
V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)
V = 2π [(1/5)(242) - (2/3)(26) + 2]
V = 2π [(242/5) - (52/3) + 2]
V = 2π [(726/15) - (260/15) + 30/15]
V = 2π [(466/15)]
V = (932π/15)
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Note: The full question is
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Simplify -36/12-2(-7)
Answer:
11
Step-by-step explanation:
A skating champion moves along with circumference of a Circe of radius 21 meters in 44 seconds how many seconds will it take her to move along perimeter of a hexagon of side 42 meters
Answer: Time required to travel along the perimeter of a hexagon = 84seconds
Step-by-step explanation: Given, The radius of the circle = 21m Time taken to travel the circumference of the circle = 44 seconds Side of a hexagon = 42m To find, The time taken to move along the perimeter of a hexagon. Recall the concept Circumference of the circle =2πr The perimeter of a hexagon = 6× length of a side Distance = speed × time Solution Since the radius of the circle = 21m, The circumference of the circle = 2× ×21 = 132m Since time taken to travel 132 m is 44seconds Speed = = = 3m/s Since the length of a side of a hexagon = 42m, the perimeter of a hexagon = 6×42 = 252m Time required to travel along the perimeter of a hexagon = = = 84seconds ∴ Time required to travel along the perimeter of a hexagon = 84seconds
What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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Find the equation of a line passing through (-3,-1) and (6,-7)
Answer:
Step-by-step explanation:
y = mx + b
m = Δy/Δx = (-1 - (-7)) / (-3 - 6) = 6/-9 = -2/3
y = (-2/3)x + b
-1 = (-2/3)(-3) + b
-1 = 2 + b
b = -3
y = (-2/3)x - 3
a desk drawer contains 5 red pens, 6 blue pens, 3 black pens, 24 silver paper clips and 16 white if you select a pen and paper at random what is the probablity that you select a black pen and white paper clip
Answer:
1/5Step-by-step explanation:
The sample space for pens is
5 red pens, 6 blue pens, 3 black pens,(5+6+3)= 14pens
The sample space for paper is
4 silver paper clips and 16 white (4+16)=20 papers
The probability of selecting a black pen and white paper
Pr(black pen)*Pr(white paper)
=3/14*16/20
=48/280
= 14/70
= 2/10
= 1/5
A Ferris wheel at a carnival has a diameter of 72 feet. Suppose a passenger is traveling at 5 miles per hour. (A useful fact: =1mi5280ft.)
(a) Find the angular speed of the wheel in radians per minute.
(b) Find the number of revolutions the wheel makes per hour. (Assume the wheel does not stop.)
a) The Ferris wheel has an angular speed is 12.222 radians per minute.
b) The Ferris wheel makes 116.712 revolutions in an hour.
How to understand and analyze the kinematics of a Ferris wheel
Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.
a) Then, the angular speed (ω), in radians per minute, is determined by the following product:
ω = v / R
Where:
v - Linear velocity at the rim of the Ferris wheel, in feet per second.R - Radius of the Ferris wheel, in feet.Please notice that the length of the radius is the half of the length of the diameter.
If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:
ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]
ω = 12.222 rad / min
The angular speed is 12.222 radians per minute.
b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:
n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)
n = 116.712 rev / h
There are 116.712 revolutions in an hour.
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(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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Simplify the expression below.
(4−5i)(2+i)
The first quartile of a data set is 32, and the third quartile is 52. Which of
these values in the data set is an outlier?
Answer: As we know that the formula of outlier is
IQR = Q3 - Q1
= 52 - 32
= 20
52 + 1.5(20) = 82...
so anything above 82 is an outlier
now
32 - 1.5(20) = 2.
..anything below 2 is an outlier
so...the 83 is outlier
so correct option is D
hope it helps
Step-by-step explanation:
The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
22, 16, 20, 21, 23, 17, 14
Answer:
19
Step-by-step explanation:
First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)
Which linear function has the same slope as the one that is represented by the table?
y = -1/5x +1/2 linear function has the same slope .
What is slope ?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.
First solve for the slope
m =\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
m=\(\frac{0-\frac{3}{5} }{\frac{1}{2} -\frac{1}{5} }\)
m = \(\frac{-1}{5}\)
Look for the linear equation with the same value of m after determining the slope (parallel equation).
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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The perimeter of the pentagon below is 62 units. Find the length of side VW.
Write your answer without variables.