Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
1. John and Sally each had a salad and two waters as well as a piece of
cheesecake for dessert, which came to $20.50. Their salads were
delicious, but their cheesecake was not as fresh and it should have
been. They decide to leave the standard 15% tip. How much of a tip will
they leave and how much is their total?
What is mAngleMHJ? HELP PLEASE
35°
50°
72.5°
92.5°
Answer:
35
Step-by-step explanation:
set 2x-20 = x+15 and solve
Answer:
50
Step-by-step explanation:
EDGE2021
PLZ ANSWER FAST (50 POINTS + BRAINLIEST)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
Answer:
$1,738.91
Step-by-step explanation:
Future value = A(1+i)^n
A= $1,500
i = 3%
n - 5
Future value = $1,500*(1+0.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*1.1592740743
Future value = $1738.91111145
Future value = $1,738.91
$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.
Can an opposite and an absolute value of an integer be the same?
Yes and opposite and an absolute value of an integer will be the same.
I REALLY NEED THE HELP ASAP PLEASE
Solve - 4(x + 10) – 6 = -3(x - 2). (1 point)
-40
-46
-52
52
Answer:
X=-52
Step-by-step explanation:
-4(X+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x+3x=6+46
-x=52
X=-52
Find the value of each variable.
I need help only on 3 please
What is a perfect squares
Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
answers for the homies that don’t wanna do the work edge 202
Paul split an inheritance between two investments, one paying 7% annual interest and the other 10%. He invested twice as much in the 10% investment as he did in the 7% investment. If his combined annual income from the two investments was $4050, how much did he inherit?
dhjsksnebrnxndksksnsns
Answer:
yeah fr
Step-by-step explanation:
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
Mike has at least 250 in his savings account.Which inequality represents this situation
Issac read that 32% of people owned dogs . What decimal represents the portion of people who do not own dogs ?
Answer:
68 % = .68
Step-by-step explanation:
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?
The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
The distance from Chicago to Pittsburgh is 462 Mi on your phone that distance is represented by 2 in using the same scale if the distance between two cities on your phone is 3in how many miles apart are they
Answer:
693 miles
Step-by-step explanation:
Given that :
Distance between Chicago to Pittsburgh = 462 Mi
On phone :
462 Miles = 2 inches
Using the same scale :
If distance between two cities is 3 inches, how many miles apart are they?
Let distance = d
462 miles = 2 inches
d = 3 inches
Cross multiply
2d = 462 * 3
2d = 1386
d = 1386 / 2
d = 693 miles
Real Numbers Quiz Active 1 2 3 4 Which answer describes the type of numbers that are dense? whole numbers and integers O whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
C. rational numbers and irrational numbers
Step-by-step explanation:
Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.
The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.
Graph the linear function f(x) = 3 – 6x .
Answer:
put one point at (0,3)
put another point at (1,-3)
draw a line between them
Step-by-step explanation:
could u vote me brainliest plz? thx :)
The standard formula for calculating the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept of the line
Given the equation to graph expressed as g(x) = 3 - 6x
First, we need to get the x and y-intercept of the line expressed as:
For the x-intercept, y = 0
0 = 3 - 6x
6x = 3
x = 0.5
The x-intercept is at (0.5, 0)
For the y-intercept, x = 0
y = 3 - 6(0)
y = 3
The y-intercept is at (0, 3)
Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;
Learn more here: https://brainly.com/question/17003809
If Merrida multiplies the first term, 7 by a factor of 6 what should she do to find the other term for the equivalent
ratio?
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor. Use Triangle G and Triangle F
Answer:
The question is not complete, below is the completed question:
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.
1. Triangle G and Triangle F
2. Triangle G and Triangle B
3. Triangle B and Triangle F
4. Triangle F and Triangle H
5. Triangle G and Triangle H
6. Triangle H and Triangle B
Answer:
1. Triangle G and Triangle F = 4 times
2. Triangle G and Triangle B = 0.2 times
3. Triangle B and Triangle F = 16 times
4. Triangle F and Triangle H = 0.11 times
5. Triangle G and Triangle H = 0.44 times
6. Triangle H and Triangle B = 0.56 times
Step-by-step explanation:
using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles
1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]
[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]
To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first
1. Triangle G and Triangle F = 24:6 = 4
∴ The area of triangle F is 4 times larger than triangle G
2. Triangle G and Triangle B = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2
∴ The area of triangle B is 0.2 times larger than triangle G
3. Triangle B and Triangle F = [tex]24 : \frac{3}{2} = 16[/tex]
∴ The area of triangle F is 16 times larger than triangle B
4. Triangle F and Triangle H = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]
∴ The area of triangle H is 0.11 times larger than triangle F
5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]
∴ The area of triangle H is 0.44 times larger than triangle G
6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]
∴ The area of triangle B is 0.56 times larger than triangle H
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Left: -1 2/3
Right: -1 1/4
Celia is renting a scooter for the day. There is a linear relationship between the number of hours the scooter is rented and the cost. Based on the table, what is the initial fee for the scooter?
Answer:
Step-by-step explanation:
The answer is $26
What is the solution to Zx =5g(2x-c)
Answer:
zx = 5g(2x-c)
zx = 10gx - 5gc
zx - 10gx = - 5gc
answer is x = 5cg/10g-z
Step-by-step explanation:
im sorry if its not the right answer but i think its right
2 x + 3 = x − 4 solve for x
Please anyone?
Answer:
x=-7
Step-by-step explanation:
[tex]2x - x = - 4 - 3[/tex]
[tex]x = - 7[/tex]
i think this is the answer
Answer:
x = -7
Step-by-step explanation:
subtract 3 from both sides and subtract x from both sides
x = -7
Solve for n.
-53 + n = -28
-35
-25
25
35
Answer:
25
Step-by-step explanation:
-28+53
Hope this helps! :)
In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending
Answer:
There's no evidence to show that the recent experience suggests a decline in spending.
Step-by-step explanation:
We are given;
Population mean; μ = $2.5
Population Standard deviation; σ = $0.9
Sample mean; x¯ = $2.1
Sample size; n = 18
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis; H0: μ ≥ $2.5
Alternative hypothesis; Ha: μ < $2.5
z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (2.1 - 2.5)/(0.9/√18)
z = -0.4/0.2121
z = -1.886
Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;
P-value = 0.2965
This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.
Being tested hurry pls.
All of the following statements about the Jumanos are true except: a. They hunted buffalo. b. They were avid traders. c. They lived along the Rio Grande. d. They still live near El Paso today.
Answer:
b
Step-by-step explanation:
Help a brother out I haven’t slept in like 2 days
Answer:
pleae do my problem and ill help u
how many one and one fourths are in four and one half
Step-by-step explanation:
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour.
He was able to work 39 hours last week. How much money did he make that
week?
Answer:331.5
Step-by-step explanation:
Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,
Amount made by Joe = Amount paid per hour × Number of hours
= $8.50 per hour × 39 hours
= $331.5
Hence, the amount that is made by Joe last week is $331.5.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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PLZ ANSWER FAST (60 POINTS + BRAINLIEST)
Answer:
are we looking for the intercept
Step-by-step explanation:
ex. an analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
x=00s
Step-by-step explanation:
