We have the function:
\(g(x)=\frac{2}{3}|x+3|+1\)The parent function is |x|, so the transformations from the equation to the parent function are:
• Horizontal translation to left by 3 units, |x+3|
,• Vertical Compression by 2/3
,• Vertical Translation to up by 1 unit.
A truck can be rented from Company A for $100 a day plus $0.50 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company.
Answer:
18 miles
Step-by-step explanation:
Let
The number of miles = x .According to Question ,
100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18the last digit in a measured value, whose exact value we cannot know for sure, is referred to as the . multiple choice question. rate-limiting digit certain digit uncertain digit determinant digit
The "uncertain digit" is the final digit of a measured value whose precise value we are unsure about.
Explain about the uncertain digit?The total number of certain digits in a measurement plus one estimated or uncertain digit make up the significant figures.
Specific graduations or markings on the tool that is used to record the measurement are the basis for some of the digits. A measurement with the more significant figures will be produced by a tool with much more graduations. A guess or estimate of the object's location between the closest graduations is a "uncertain digit." As a result, in a measurement that is accurately reported, the last digit is important but uncertain.Thus, the "uncertain digit" is the final digit of a measured value whose precise value we are unsure about.
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A circular kiddie pool has an area of about 28 square feet. An inflatable full-size circular pool has an area of about 113 square feet. How much greater
The radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools.
The expression for the radius of a circle is:
R = √(A/3)
Where A is the area of said circle.
The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:
R = √(28 ft^2/3) = 3 ft
The full-sized pool has an area of 113 ft^2, then its radius is:
R' = √(113 ft^2/3) = 6 ft
To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:
R'/R = 6ft/3ft
= 2
Hence, the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
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PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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$72 with a 40% markup
Answer:
$100.80
Step-by-step explanation:
40%/100%×72=$28.80
$72+$28.80=$100.80
Select the point on the number line located at -3/4
Answer:
Here you go :)
Step-by-step explanation:
What I've provided is a screenshot showing -3/4 on a number line. I hope this helps you :)
Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)
Answer:
34
26
8
Step-by-step explanation:
What is the equation of a line that is perpendicular to x = 6 and passes through the point (2, 3)?
Answer:
Step-by-step explanation:
The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Answer:68%
Step-by-step explanation:
just took this test
The percentage of values is within the interval 111 to 139 will be "68%".
ProbabilityAccording to the question,
Mean = 125
Standard deviation = 14
Let,
The random variable be "X".
Now, the probability:
→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)
= P(-14 < X - 125 < 14)
= P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))
= P(-1 < Z < 1)
When, Distribution function "\(\phi\)" now,
= \(\phi\)(1) - \(\phi\)(-1)
= \(\phi\)(1) - 1 + \(\phi\)(1)
= 2 × \(\phi\)(1) - 1
= 2 × 0.8413 -1
= 1.6826 - 1
= 0.6826 or,
= 68%
Thus the above answer i.e., "option C" is correct.
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Can someone help with this problem?
The earthquake was a devastating one as its range is very high for the logarithm function.
We are given that:
M = log (A) - log (A₀) + c log (Δ)
where,
M = local magnitude of the earthquake
A = maximum amplitude in micrometers
A₀ = reference amplitude
c = calibration constant
Δ = distance in km between the seismograph and the epicenter
Now, we are given that:
M = 114370.61 ц m
A = ?
A₀ = 302 ц m
c = 2.76
Δ = 60 km
We have to find the maximum amplitude.
Substituting the values in the logarithm function, we get that:
9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)
114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)
114370.61 ц m = log (A) - 2.48 + 4.91
114370.61 ц m = log (A) + 2.43
log (A) = 114370.61 ц m - 2.43
log (A) = 114368.18 ц m
A = e¹¹⁴³⁶⁸°¹⁸ ц m
A = will come in the range 9 and over.
Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.
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Ben played at a friends house for 2 hours 35 minutes. Later that day he played at a park. He played for a total of 3 hours 53 minutes that day how long did Ben play at the park?
Answer:
1 hour and 18 minutes
Step-by-step explanation:
hope this helps
Elsevier logo el Home
Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?
(5, 7), (-3,-4)
Find the slope
Answer:
\(\dfrac{11}{8}\)
Step-by-step explanation:
Slope formula
\(\textsf{Slope}=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.}\)
Define the points:
\(\textsf{Let}\:(x_1,y_1)=(5,7)\)
\(\textsf{Let}\:(x_2,y_2)=(-3,-4)\)
Substitute the defined points into the formula:
\(\implies \textsf{Slope}=\dfrac{-4-7}{-3-5}=\dfrac{-11}{-8}=\dfrac{11}{8}\)
Therefore, the slope of (5, 7) and (-3, -4) is 11/8.
PLEASE HELP ME THANKS!
Answer:
i think it is B. x^ab, but i could be wrong
Step-by-step explanation:
pemdas so take
x^(a+b)
x^(ab)
x^ab
probably wrong
This table models continuous function f.
x f(x)
-2 0
-1
-8
0
-6
1
0
2
3
0
If function fis a cubic polynomial, which statement most accurately describes the function over the interval (0, 1)?
A.
The function is increasing over the interval (0, 1).
B.
The function is constant over the interval (0, 1).
OC. The function increases and decreases over the interval (0, 1).
OD.
The function is decreasing over the interval (0, 1).
4
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.
Answer:
Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144
Step-by-step explanation:
Shipping costs $6 on purchases up to $50, $8 on purchases over $50 and up to $100, and $10 on purchases over $100 and up to $200. Write a function for the cost C (x) of shipping based on the purchase price x.
Answer:
f(x) = {
C(x) = 6, 0 < x ≤ 50
C(x) = 8, 50 < x ≤ 100
C(x) = 10, 100 < x ≤ 200
}
Step-by-step explanation:
Matemáticas resolver problemas
Sheena receives change of $7.55 after paying $20 bill.
How much is the change Sheena receives?Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.
Therefore,
Sheena buys three items, one sandwich and two pretzels.
Given the rate of sandwich = $6.95
Rate of pretzels = $2.75 each
So rate of two pretzels = $2.75 x 2 = $5.5
Total amount paid = $20
To find the change she receives ,
Total payment paid - total amount of items
Total amount for items = $6.95 + $5.5
= $12.45
Change receives = $20 - $12.45
= $7.55
Therefore the change Sheena receives is : $7.55.
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Hello! Find Domain and range, thank you :-)
Find the next three numbers in the pattern. Write your answer as decimals 4.1, 4.5, 4.9, 5.3,
Answer:
The pattern is +4
4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9
Step-by-step explanation:
You're welcome.
Answer:
Step-by-step explanation:
gap in partten is 4 any doubt
Favorite Sport Use the table to identify the labels for the segmented bar graph. Favorite Sport Male Female Football 10 2 Relative Frequency 100 90 80 70 60 50 40 30 20 OB OA Soccer 8 9 Basketball 7 6 Label A is 10 Label B is 0 Label C is < С C D E Label D is Sport Label E is < Intro Done
The labels for the segmented bar graph include:
Label A is MaleLabel B Is FemaleLabel C is FootballLabel D Is SoccerLabel E Is BasketballWhat is a bar graph?
A bar graph is a graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.
Here, the identification of the labels for the segmented bar graph has been depicted based on the information.
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QUESTION 1 MRH CHO3_2001A Discrete PMF Customers select a variety of upgrades when they purchase your software. The number of upgrades purchased per customer is given by the following probability mass function: f(0) -0.50 f(1) - 0.20 f(2)=0.06 f(3) - (unreadable) What is the expected value of the number of upgrades selected? (Hints you will first need to figure out the value of f(3). Remember what do all probability mass functions sum to?) Carry your answer to at least three decimal places.
The expected value of the number of upgrades selected is 1.04.
The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.
First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:
1 = f(0) + f(1) + f(2) + f(3)
1 = 0.50 + 0.20 + 0.06 + f(3)
f(3) = 1 - (0.50 + 0.20 + 0.06)
f(3) = 0.24
Now that we know the value of f(3), we can calculate the expected value as follows:
E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)
E(X) = 0 + 0.20 + 0.12 + 0.72
E(X) = 1.04
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PLEASE HELP! GIVING BRAINLIST!!
What is the point on the graph when x = 1? What does this mean in terms of the snake population?
At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
Answer:
a) What is the cost of a chicken shawarma wrap?
$10.99
b) What is the cost of one order of spiced potatoes?
$4.99
c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
3x + 2y = $42.95 .............Equation 1
5x + 4y = $74.91 ................Equation 2
Step-by-step explanation:
Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,
Cost of a chicken sharwarma wrap = x
Cost of an order of spiced potatoes = y
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3x + 2y = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5x + 4y = $74.91 ................Equation 2
Hence, the Equations needed to solve the question is:
3x + 2y = $42.95 .............Equation 1
5x + 4y = $74.91 ................Equation 2
We use Elimination method to solve for this.
Multiply Equation 1 by coefficient of x in Equation 2
Equation 2 by coefficient of x in Equation 1
3x + 2y = $42.95 .............Equation 1 × 5
5x + 4y = $74.91 ................Equation 2 × 3
15x + 10y = 214.75..............Equation 3
15x + 12y = 224.73..............Equation 4
Subtract Equation 3 from Equation 4
2y = 9.98
y = 9.98/2
y = 4.99
Therefore, y = Cost of an order of spiced potatoes = $4.99
Subtitute 4.99 for y in Equation 1
3x + 2y = $42.95 .............Equation 1
3x +2(4.99) = 42.95
3x + 9.98 = 42.95
3x = 42.95 - 9.98
3x = 32.97
x = 32.97/3
x = 10.99
x = Cost of a chicken sharwarma wrap = $10.99
Therefore,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99
bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?
Answer: If you minus it the answer is -0.488692191 rad
I think
Step-by-step explanation:
How do you find the second of an angle?
The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.
These are my opinion
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
Cuantos años hay 5823 días
Answer:
16 anos
Step-by-step explanation:
Graph the arithmetic sequence.
$4,\ 12,\ 20,\ 28,\ ...$
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).
The graph of the arithmetic sequence is added as an attachment
How to graph the arithmetic sequence?From the question, we have the following parameters that can be used in our computation:
Sequence: 4, 12, 20, 28....
The above sequence is an arithmetic sequence with the following parameters
First term, a = 4
Common difference, d = 8
So, the x-th term is
f(x) = a + (x - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(x) = 4 + (x - 1) * 8
This gives
f(x) = 8x - 4
So, the equation to plot is f(x) = 8x - 4
See attachment for the graph
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I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
First we can multiply both sides of the equation by 2 to get rid of the fraction.
(for the left side, the top doesn't change!)
12w - 20 = 12 - 4w
Then we can solve by adding 20 and 4w to both sides.
16w = 32
Last, divde both sides by 16.
w = 2
So our answer is the third option, w = 2
Answer:
Answer is w = -4
Step-by-step explanation:
\( \frac{12w - 20}{2} = 6 - 2w \\ 12w \div 2 = 6 \\ so \: we \: get \: 6 - 2w \\ now \: 6 - 2w = - 4\)
hope it helps
James had a large bag of raisins and he ate3/4 of it over the weekend. Monday he decided to share the remaining raisins with 2 friends so that each of 3 of them get a fair share. What portion of the whole bag of raisins did each of friends get
The share of the whole bag of raisins individually of the friends get will be 1/12.
What is Algebra?Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.
James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,
⇒ 1 - 3/4
⇒ 1/4
Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,
⇒ (1/4) / 3
⇒ 1 / (4 x 3)
⇒ 1 / 12
The share of the whole bag of raisins separately among the friends get will be 1/12.
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