Answers
We have then:
Part 1:
The period of the function is:
T = 3
Part 2:
The period of the function is:
T = 4
Answer:
The period of functions 1 and 2 respectively are:
T = 3
T = 4
Related Questions
A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3, 4)
(3.5, 4)
Answers
The answer is...
(4,3)
Hope this helps!!! :)
-Jared
A rectangular wall has a length of 12 ft and a width of 8 ft. The wall has two rectangular windows. Each window has a width of 3 ft and a height of 5 ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window? Enter your answer, as a decimal rounded to the nearest hundredth, in the box. P(choosing a point on a window) = The figure shows two rectangles inside a larger rectangle. The two smaller rectangles each have a length of 3 feet and a width of 5 feet. The larger rectangle has a length of 12 feet and a height of 8 feet.
Answers
A = (12 ft)×(8 ft) = 96 ft²
The area of one window is
A = (3 ft)×(5 ft) = 15 ft²a
The total window area as a fraction of the total wall area is
P(window) = (2×15 ft²)/(96 ft²) = 5/16 = 0.3125
The probability that Andrea will randomly choose a spot on a window is
P(choosing a point on a window) ≈ 0.31.
Answer:
the frst guy is right go dude your rock i love bing suportive!!
Step-by-step explanation:
Barney has a balance of $780 on a credit card with an APR of 31.3%, compounded monthly. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 19.1%, compounded monthly? (Assume that Barney will make no payments or new purchases during the year, and ignore any possible late-payment fees.)
Answers
$119.66
in interest over the course of a year if he transfers his balance to a credit
card with an APR of 19.1%, compounded monthly. The correct answer between all
the choices given is the first choice or letter A.
Answer:
Barney will save about $119.66.
Step-by-step explanation:
The compound interest formula is:
A=[tex]p(1+\frac{r}{n})^{nt}[/tex]
Case 1:
when p = 780
r = 0.313
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.313}{12})^{12}[/tex]
A = [tex]1.36204\times780=1062.39[/tex]dollars
Interest accured = [tex]1062.39-780=282.39[/tex] dollars
Case 2:
when p = 780
r = 0.191
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.191}{12})^{12}[/tex]
A = [tex]1.20863\times780=942.73[/tex]dollars
Interest accured = [tex]942.73-780=162.73[/tex] dollars
Now difference in interest in both cases = [tex]282.39-162.73=119.66[/tex] dollars
Hence, Barney will save about $119.66.
Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickels for every penny. How many pennies are there?
Answers
40-16=24
16 dimes so far
24/2=12
16 dimes, 12 quarters
16+12=28 40-28=12
12 coins left
Then I drew a diagram and for every 1 penny I drew 2 nickels. In order to get 12 overall in pennies and nickels there has to be 8 nickels and 4 pennies.
Hope that helped! :)
Answer:
Option (B) is correct, 4 pennies.
25 percent of the workers are on third shift.there are 33 workers on third shift. how many workers are there total?
Answers
1% = 33 ÷ 25 = 1.32 workers
100% = 1.32 x 100 = 132 workers.
Answer: There are a total of 132 workers.
If point N is translated 6 units to the left and 5 units down, what are the coordinates of N'?
Answers
Answer:
(-6, -5)
Step-by-step explanation:
Let the position of point N (0,0)
As we know in a graph, a graph consist of horizontal and vertical lines.
The horizontal line, known as x axis, consist of negative numbers on the left side of number line and positive numbers on right side of number line separated by 0.
Similarly, the vertical line , also know as y axis consist of negative numbers on the below side of number line and positive numbers on above side of number line separated by 0.
If we translate point N 6 units to left from origin, then the x coordinate is -6
Similarly, if we translate 5 units to down, than y coordinate is -5
Hence, the coordinates are (-6,-5)
bloomingdale's marks up mink coats $3000.this represents a 50% markup on cost. What's the cost of coats
Answers
Bloomingdale's marks up mink coats [tex]\[/tex]3000. The mink coats cost [tex]\[/tex]6000.
Cost, in the context of pricing and business, refers to the amount of money or resources required to produce or acquire a product or service. It contains several expenses associated with manufacturing, production, materials, labor, overhead costs, and other costs incurred in the process.
Let's assume the cost of the mink coats is represented by the variable "C".
According to the given information, Bloomingdale marks up the mink coats by [tex]\[/tex]3000, which represents a 50[tex]\%[/tex] markup on the cost.
A 50[tex]\%[/tex] markup means the markup amount is 50[tex]\%[/tex] of the cost. In other words, the markup amount is 0.5C.
Let's set up the equation to represent this information,
C + 0.5C = Cost + Markup
1.5C = Cost + [tex]\[/tex]3000
Since the markup is $3000, we can write the equation as,
1.5C = C + [tex]\[/tex]3000
To find the cost of the coats, it is needed to solve for C.
1.5C - C = C - C + [tex]\[/tex]3000
0.5C = [tex]\[/tex]3000
Next, let's isolate C by dividing both sides of the equation by 0.5,
[tex]\frac{0.5C}{ 0.5}[/tex] = [tex]\frac{3000}{0.5}[/tex]
C = [tex]\[/tex]6000
Therefore, the cost of the mink coats is [tex]\[/tex]6000.
Learn more about Costs here:
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Plzzz help
what is the mean for the data set 582, 505, 548, 578, 511, 506, 521, 546, 570. express your answer as a decimal to the nearest tenth
Answers
To find the mean all you have to do is add all the numbers together then divide that by how many numbers there are
582 + 505 + 548 + 578 + 511 + 506 + 521 + 546 + 570 = 4867
There are 9 values.
4867 ÷ 9 ≈ 540.78 ≈ 540.8
The mean is about 540.78, or, rounded to the nearest tenth, 540.8.
suppose the probability that a US resident has traveled to Canada is 0.18 to Mexico is 0.09 and to both countries is 0.04 what's the probability that an American chosen at random has travel to either Canada or Mexico
Answers
0.18 + 0.09 + 0.04 = 0.31
A spinner is to be used during a probability experiment. The spinner is separated into all congruent sections of which 8 sections are orange, 4 sections are yellow, and 2 sections are green. What is the probability written in simplest form that the spinner will NOT stop on a green section during the first spin?
Answers
Total sections=8+4+2=14, orange and yellow sections=8+4=12
P(y or o)=12/14
P=6/7 (about 85.7%)
[tex] |\Omega|=14\\
|A|=12\\\\
P(A)=\dfrac{12}{14}=\dfrac{6}{7}\approx86\% [/tex]
HELP!
What is Jacobson's conjecture?
Answers
you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years
Answers
You would have approximately $448.68 in the account after 15 years.
To calculate the amount in the account after 15 years, compounded monthly at 8% interest, you can use the formula for compound interest:A=P×(1+r/n)^ntWhere:
A is the future value of the investment,
P is the principal amount (initial deposit),
r is the annual interest rate (as a decimal),
n is the number of times interest is compounded per year, and
t is the time the money is invested for in years.
Here,
P=100,r=0.08,n=12 (compounded monthly), and t=15 years.
A=100×(1+0.08/12)^12×15
A=100×(1+0.08/12)^180
A=100×(1+120.08)^180
A=100×(1+0.08/12)^180
A≈100×(1.00666667)^180
A≈100×4.48678
A≈448.678
Complete question:
you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Two points move along a circle of length 120m with a constant speed. If they move in different directions, then they meet every 15 seconds. When going in the same direction, one point catches up to the second every 60 seconds. Find the speeds of the points.
Answers
Let x and y be the speeds of the two points. The circle is of length 120m that is Circumference of circle is 120m.When the points are moving in opposite directions, they meet in every 15 seconds.That is the points cover 120m in 15 seconds.As they are moving in opposite directions, so the relative speed will be equal to the sum of speeds of both points.Speed= Distance ÷Time = 120÷15=8m per seconds.
x+y=8
When going in the same direction, one point catches up to the second every 60 seconds.Speed= 120÷60=2 m per seconds
x-y=2.
Solving the two equations by elimination method:
x+y=8.
x-y=2
Adding the equations:
2x=10 ,x=5m / sec.
x+y=8
5+y=8
y=3m/sec.
Thus, the speed of the two points is 5 m/s and 3 m/s.
there are 450 mangoes and oranges in a fruit stall.There are twice as many mangoes as there are oranges
Answers
2x + x = 450
3x = 450
x = 150
so now we have the amount of oranges= 150
150 * 2 = 300
so oranges = 150, mangoes = 300, and to check our work
150 + 300 = 450
3x=450
x=450/3
x=150
there are 150 oranges and 300 mangoes
A plumber charges $100 to come to a house and $95 dollars per hour that he is there. If the total cost of the plumber’s visit to a house was $385, how many hours was the plumber working at the house?
Answers
First, you have to subtract 100 from 385 to find the total cost of hours at the house. Then, since he charges $95 every hour, you have to divide 385/95 and you get 3 as your answer. Hope this helped :) .
Please help I don't understand, if you can please show work, thank you
Answers
which is an equation of the line that passes through the point (3,-1) and is perpendicular to 2y-3x=7
Answers
How to do probibility
Answers
In order to solve a probability question, start by defining the sample space, which is the set of all possible outcomes in the game.
How to come up with probability ?
To calculate the probability of someone landing on an even number and a primary color in a game or situation, you need to specify the range of numbers and the set of colors that someone can land on.
Determine which outcomes are favorable for your event. In this case, you want someone to land on an even number and a primary color. So, the favorable outcomes would be even numbers (2, 4, 6) and primary colors (red, blue, yellow).
Calculate the probability of landing on an even number and landing on a primary color separately.
Probability of landing on an even number:
There are 3 even numbers out of 6 possible outcomes, so the probability is 3/6 or 1/2.
Probability of landing on a primary color:
There are 3 primary colors out of 6 possible outcomes, so the probability is 3/6 or 1/2.
Inez and Felicia had three days to read a book. Inez read 40 pages the first day, 60 pages the second day, and 125 pages the third day. Felicia read the same book, but she read an equal number of pages each of the three days. How many pages did Felicia read each day?
Answers
Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x
Answers
[tex] \frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)} [/tex]
Next, we are going to use the trig identity: [tex]csc(x)= \frac{1}{sin(x)} [/tex] to completely simplify our expression:
[tex] \frac{1}{sin(x)} =csc(x)[/tex]
We can conclude that [tex] \frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)[/tex]
Extra Credit (3 points): Try this with actual dough (playdoh, homemade dough, clay). Form a cube. Consider the cross sections that are formed when you slice into the cube as described. Draw each slice and describe the resulting cross section. A slice through the center, parallel to a side. A slice that cuts through the left top edge and the right bottom edge. A slice that cuts across a corner through three sides of the cube. Describe in a paragraph your observations and reflections.
Answers
Here we slice the cube edge first. Slices are taken in two directions. The first is from the left vertical edge. In the orthographic view, this appears as a line since the slicing plane is parallel to our viewing direction. The second slicing sequence starts at the lower, back, left-hand edge. This one appears as a thin rectangle which thickens, achieving its widest point half-way through, then shrinks back to an edge. Every edge in the orthographic view is symmetric to one of these two edges, so we have seen every important slicing sequence.
how to tell if an ordered pair is a solution to a function
Answers
B) yes
C) no
For each of these, substitute the value of x in the ordered pair into x in the function.
For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.
For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.
For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week.
Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.
Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work.
Answers
Part B. T =12x+15y
Part C. 510 =12x+15y
510= 360+ 15y
150=15y
y=10 hrs
Solve.
2x^2 + x - 1 = 2
A 1,2
B No real solutions
C 1,-3/2
D x = (-1 plus minus 3) over 2
Answers
[tex]2x^2+x-1=2\ \ \ |-2\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\ \ |-3\\2x=-3\ \ \ |:2\\x=-\frac{3}{2}\\\\x-1=0\ \ \ |+1\\x=1[/tex]
Answer: C 1, -3/2
bag of coins contains two quarters 5 dimes 3 nickels and 4 pennies if two coins are randomly chosen from the bag one after the other not replaced and if the total value of the chosen coins is $0.26 what is the probability that a third coin randomly chosen from the back will be a penny
Answers
B - third chosen coin is a penny
[tex]P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\ |\Omega|=14\cdot13=182\\ |A|=2\cdot4\cdot2!=16\\ |A \cap B|=16\cdot3=48\\\\ P(A \cap B)=\dfrac{48}{182\cdot12}=\dfrac{2}{91}\\ P(A)=\dfrac{16}{182}=\dfrac{8}{91}\\\\ P(B|A)=\dfrac{\dfrac{2}{91}}{\dfrac{8}{91}}=\dfrac{2}{91}\cdot\dfrac{91}{8}=\dfrac{1}{4} [/tex]
Identify the number that does not belong explain why. 50.1 (repeating)- 50/2 -50.1 and the square root of 50
Answers
This is because it’s the only nonreal number. Real numbers can be expressed as fractions. This means that whole numbers, decimals, fractions, and any number that can be ultimately put as a fraction is a real number.
50/2 is already a fraction, so it’s real. 50.1 can also be made in to a fraction. 50.1 (repeating) has a pattern to its decimal values, meaning it is also able to be a fraction. However, the square root of 50 is a number with decimal values that go on forever and never have a pattern to it, and thus cannot be put into a fraction. Thus, the square root of 50 is not a real number, and so is the odd one out.
the map shown is scale of 1:50 000
1) measure and state in centimeters the distance on the map from L to M
2) Calculate the actual distance in kilometers from L to M
3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map
Answers
The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.
1.)
The distance between points L and M in the drawing is 5.8 cm
2.)
Using the scale given
1 : 500001cm on the map represents 50,000 cm on ground
1 cm = 50000
5.8 cm = x cm
x = 5.8 × 50000
x = 290000 cm
converting to kilometers:
100000 cm = 1 km
290000/100000
= 2.9 km
Hence, the distance in kilometers is 2.9 km.
3.)
Given an actual distance of 4.5 km
4.5 km = 450000 cm
1 cm = 50000 cm
x cm = 450000
50000x = 450000
x = 450000/50000
x = 9 cm
PLEASE ANSWER CORRECTLY ASAP:
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
Substitute the values of x, –1 and 2, into either original equation to solve for the values of y.
What are the solutions of the system of equations?
One solution is (–1, __ )
The second solution (2, ___)
Answers
[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(-1)^2-3(-1)+12[/tex]
[tex]y=1+3+12[/tex]
[tex]y=16[/tex]
so one solution is (-1,16)
2nd one, subsitute 2 for x
[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(2)^2-3(2)+12[/tex]
[tex]y=4-6+12[/tex]
[tex]y=10[/tex]
the second soltuion is (2,10)
so one solution is (-1,16)
the second solution is (2,10)
Answer:
3
Step-by-step explanation:
give brainliest
How do you subtract mixed numbers
Answers
8 5/6 8 15/18
- = - = 6 7/18
2 4/9 2 8/18
So your answer is 6 and 7 over 18
what is the difference between theoretical and experimental probability
Answers
Before I leave this part of the discussion, there is a computer simulation that mimics this game. It is called the Monte Carlo method. What you do is run a million draws from a computer deck of cards (1 to 52) and draw 1 card. If it is either the King of hearts or the king of diamonds you give yourself 1 point and record that a draw has taken place. If not you just record that a draw has taken place.
I just ran this simulation and out of a million draws, 38575/1000000 came back as successful. 1/26 = 0.03846 which means that the rounded version was accurate to 3 decimal places. But it was not the same as the theoretical draw.
A real world or experimental probability is like the Monte Carlo method. A survey is another real world or experimental probability. Who would have predicted the results of the last American election? Who would have thought that though Hillary got the popular vote, she was not elected?
Theoretical: what you calculate.
Experimental: what you get from a sample for example or a survey. Think elections or insurance policies.