Answer:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Step-by-step explanation:
Given
Charges: $39.99 for first 450 minutes
Charges: $0.45 for additional minutes
(a): What is x
x represents the total minutes
(b): What is f(x)
f(x) represents the total monthly cellular charges
(c): The piecewise function
For the first 450 minutes, the function is:
[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]
For additional minutes.
In (a), the total minutes is x.
So, we have:
Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)
[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]
[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]
Open bracket
[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]
[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]
Collect Like Terms
[tex]f(x) = 0.45x+39.99 - 202.5[/tex]
[tex]f(x) = 0.45x-162.51[/tex]
The range of the above function is: x > 450.
So, the piecewise function is:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Here are the noon temperatures (in degrees Celsius) in a particular Canadian city on Thanksgiving Day for the 10 years from 2002 through 2011: 0, 3, 6, 8, 2, 9, 7, 6, 4, 5. Describe the typical temperature and the amount of variation to a person who has never had a course in statistics. Give three ways of describing the representative temperature and two ways of describing its variation, explaining the differences and how you figured each. (You will learn more if you try to write your own answer first, before reading our answer at the back of the book.)
Answer:
a) Three ways of describing the representative or typical temperatures are the mean, median, and mode.
The mean = 5. This is the average temperature. It is calculated by adding up the varying temperatures each year and dividing by 10.
Median = 5.5. This is the middle value in the temperature table. There are two middle numbers (5 and 6) in the dataset. They are added and divided by two.
Mode = 6. This is the value that occurs more than other values in the dataset. The value 6 occurred twice more than other values.
b) The two ways of describing the variation of temperatures are the variance and the standard deviation.
Variance = 7. This is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a dataset.
Standard Deviation = 2.65. The standard deviation measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Step-by-step explanation:
a) Data and Calculations:
Noon Temperatures (in degrees Celsius) in a particular Canadian City on Thanksgiving Day:
Year Degree Difference Squared
Celsius Difference
2002 0 -5 25
2003 3 -2 4
2004 6 1 1
2005 8 3 9
2006 2 -3 9
2007 9 4 16
2008 7 2 4
2009 6 1 1
2010 4 -1 1
2011 5 0 0
Sum 50 70
Mean = 5 (50/10)
Variance = 7 (70/10)
Standard Deviation = 2.65 (Square root of variance)
Median = 0, 2, 3, 4, 5, 6, 6, 7, 8, 9 (the values are arranged numerically.)
= (5 + 6)/2 = 5.5
Mode = 6 (occurred twice more than other values)
Find the 53rd term of the arithmetic sequence -12,-1,10
Answer:560
Step-by-step explanation:
Answer: 560
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
The answer is A
30
Find the measure of angle B
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answer:
22.5 Pounds
Step-by-step explanation:
This is correct because i did it on Big Ideas and got it correct with 22.5.
PLASE ANSWER THISSSSSSS WILL GIVE BRAINLIST TO WRITE ANSWER
Answer:
B: 15.7 inches
Step-by-step explanation:
Triangle PQR will be rotated 90° counterclockwise about the origin.
What will be the coordinates of R'?
A.
(6, 3)
B.
(3, 6)
C.
(−3, −6)
D.
(1, 2)
HELPPPP PLZ. I NEED HELP PLZ I WILL GIVE MORE POINTS AND BRAINLIEST FOR CORRECT ANSWER.
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
Answer:
Step-by-step explanation:
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
16. Jim's sub was cut into 16 pieces. How many pieces were eaten?
12 pieces
4 pieces
8 pieces
3 pieces
Pikuai answers~
========================
(You didn't attach an important part of the question which I assume was a fraction so I'm going based off nothing. Trying my best to help though)
Jim ate 8 pieces of his sub!
============================
Hope this helps! Have an amazing day!~
A softball has a radius of 3 inches. What is the volume of the softball? Round your answer to the nearest whole number.
Answer:
38
Step-by-step explanation:
V = 4/3 (pie) r(cube)
V = 4/3 (3.14) 3(cube)
V = 4/3 (3.14) (9)
V = 4/3 (28.26)
V = 37.68
V = 38 (Rounded up)
Please help me answer this:)
Will give you brainlst ^
Okay, got it!
Here's the graph (sorry if it's confusing I'm going to try my best)
Print Electronic Total
Youths 33 28 61
Adults 33 37 70
Total 66 65 131
Hope this helps!
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°
Answer:
x=113
Step-by-step explanation:
because 95 + 84 + 68 is 247 360 - 247 = 113
y=1+sinx/cosx find dy/dx
I need help with this question?
Answer:
Not sure but try
Step-by-step explanation:
1, 6 < 2x
2, c = b2
3, a + g / 5
4, (c^4)7u
5, y > 4(9)
6, e < 10 + p
Find the measure of angel 1.
Answer:
Refer to the attachment and sorry for bad handwriting, it's 3:51 am here, In India
Simplify the expression:
- 3+ 40 - 80 ->
Answer:
-3 + 40 - 80 = -43
hope it helps
F (x)=x+3x find f(2)
f(x)=3x-2 find f(-10)
help please
Answer:
f(x)=3x-2 is 4x i dont know bout the other one
Step-by-step explanation:
Answer:
1) f(2) = 8
2) f(-10) = -32
Step-by-step explanation:
Whenever you see a problem that asks something like what f(2) or f(-10) is, it is asking you to substitute whatever number is in the parentheses for every x in the given function.
1) So, to find f(2), substitute 2 for every x in the given function, f(x) = x + 3x and solve:
[tex]f(2) = (2)+3(2)\\f(2) = 2 + 6 \\f(2) = 8[/tex]
Thus, for this function, f(2) = 8.
2) Do the same with the second question. Substitute -10 for every x in the given function, f(x) = 3x - 2.
[tex]f(-10) = 3(-10) - 2 \\f(-10) = -30-2\\f(-10) = -32[/tex]
Thus, for this function, f(-10) = -32.
Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
How do i write the quotient as a mixed number?
Answer:
divide the numerator by the denomantor
Step-by-step explanation:
A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)
As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.
Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
А
4y - 2
B
O 14 units
O 38 units
O 44 units
O 49 units
3x - 1
2x + 2
D
2y + 6
С
Answer:
ANSWER IS 44 UNITS
Step-by-step explanation:
EDGE 2021
The perimeter of the parallelogram is of 44 units.
What is the perimeter of a figure?
The perimeter of a figure is given by the sum of all it's outside measures.
In this problem, since it is a parallelogram, we have that:
AD = BC
Hence:
3x - 1 = 2x + 2
x = 3
Hence:
AD = BC = 3x - 1 = 3(3) - 1 = 8
We also have that:
AB = DC
4y - 2 = 2y + 6
2y = 8
y = 4
Then:
AB = DC = 4y - 2 = 4(4) - 2 = 14
Thus, the perimeter is:
2 x (14 + 8) = 44 units.
More can be learned about perimeter at https://brainly.com/question/10489198
I need help with this please
What transformation is described by the
notation (x, y) —> x,-y)?
A : translation left 1 unit
B : translation down 1 unit
C : reflection across the x-axis
D : reflection across the y-axis
Answer:
C. reflection across the x-axis
Step-by-step explanation:
When a point is reflected across the x-axis, the x-coordinate stays the same while the y-coordinate turns into its opposite (positive to negative, negative to positive).
As we can see in the notation, the x-coordinate stayed the same while the y-coordinate went from positive to negative, which tells us that this notation is a reflection across the x-axis.
A small pouch contains 8 black marbles, 5 white marbles and 12 red marbles. What is the parabolic of not drawing a red
A) 36%
B) 48%
C) 52%
D) 71%
PLEASE HELP GIVE BRAINLY
Work out
139% of 722.71kg
Give your answer rounded to 2 DP.
7w -17=46 need help thanks
Answer:
w=9
Step-by-step explanation:
7w -17=46
Add 17 to each side
7w -17+17=46 +17
7w = 63
Divide each side by 7
7w/7 = 63/7
w=9
Answer:
W=9
Step-by-step explanation:
46+17=63
63=7w
63/7=9
A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults on lines A, B, and C are independent and have identical probability of 0.01. Hint: parts (a) and (b), use Bernoulli Trials; part (c), use Bayes Rule. a) What is the probability that the system will collapse
Answer:
0.000298 = 0.0298% probability that the system will collapse
Step-by-step explanation:
Number of possible ways the system can fail:
2 lines from a set of 3 fail, or all three fail.
Two from a set of 3:
Can be A and B, A and C, or B and C. Three possible outcomes then.
The probability of each is:
0.01*0.01*0.99
Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.
All three:
Each with 0.01 probability.
a) What is the probability that the system will collapse
Both cases, so
[tex]p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298[/tex]
0.000298 = 0.0298% probability that the system will collapse
what is - 1/4 + 6 pls i need help
Answer:
Exact Form: 23/4
Decimal Form: 5.75
Mixed Number Form: 5 3/4
Step-by-step explanation:
Hope this helps! <3
5y-2x when y=10 and x=3
Answer:
44
Step-by-step explanation:
So, first off substitute the letters for their given value
5(10)-2(3)
now using the PEMDAS operations,
we multiply,
50-6
then subtract
44
and there is your answer!
Answer:
46
Step-by-step explanation:
5y-25x
5y=50
2x=6
50-6
=46
2. The value, v, of the hat is less than $9.
what is the inequality
Answer:
v < 9
Step-by-step explanation:
Since the value of the hat is less than 9, we will use a less than sign.
In the inequality, the less than sign has to be in front of 9.
So, put this together:
v < 9
The inequality is v < 9
I REALLY NEED HELP WITH THIS!!!! | I WOULD MARK BRIANLIEST
Answer:
104 degrees.
Step-by-step explanation:
angle 5 is equivalent to angle 3. and a straight line is 180 degrees. So you have to subtract 76 form 180. Hope this helped!