Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)
Answers
Answer:
the answer is A. y=2sin(1/2x)+1
Step-by-step explanation:
I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph
The function that matches the graph is y= 2 sin(1/2x) +1.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
let y = A sin ([tex]\omega[/tex]x + Ф)+ k
T= 4π, w= 2π/T = 1/2
Now, midline= 1/2( max + min)
=1/2(3-1)= 2/2
k=1
and, A= 3-1 = 2
So, y= 2 sin(1/2x + Ф) +1
as, Ф=0
So, y= 2 sin(1/2x) +1
Learn more about graph here:
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Related Questions
Please help me check if it's right! Please give the right answers!
Answers
Answer
15
Step-by-step explanation:
12-3²+6÷(10÷5)x2²
12-9+6÷2x4
12-9+3x4
12-9+12
3+12
15
This is the only one I saw wrong. you added wrong
hey HELP PLEASE BRAINLIEST
Answers
The orange highlighted answer is right bc in order to get the number of centimeters in a foot youd multiply the 2.54*12 and then multiply that by 2 to get number of centimeters in two feet
hope it helps :)
What is the simplified form of the following expression? 3sqrt 4x/5
Answers
Answer the question in the picture?
Answers
Answer:
19
Step-by-step explanation:
we know the sides of a rhombus is all equal, so:
4(2x+4)=168
8x+16=168
8x=152
x=19
In seattle washington, it rained 184 days in 2001. What percent of days did it rain.
Answers
Answer:
50.41%Step-by-step explanation:
It rained 184 days out of 365:
184/365*100% = 50.41%It rained 50.41% of days
PLEASE HELP FAST 30 POINTS PLUS BRAINLIST ONLY ANSWER IF YOU KNOW
The Golden Gate bridge was built in San Francisco, California, in 1937. Until 1964, it was the longest suspension span in the world. The length of the cable from the top of the tower to where it anchored in the concrete is 2332 m, and the height of each tower is 152 m. Assuming the cable forms a straight line, how far from the base of the tower is the cable anchored?
Answers
EXPLANATION:
I’m assuming this is Reverse Pythagorean Theorem, so the equation would be c^2 - a^2 = b^2, so all you have to do it substitute the variables and solve. The length of the cable is variable c, the height of the tower is variable a, and the length of where is the cable is anchored and the base of the tower is variable b. That might not make any sense but feel free to ask any questions. :)
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answers
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
Find the value of unknown anlges from the figure.
Answers
y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0
Answers
Answer:
y = - 3, - 2, - 1
Step-by-step explanation:
Given
- 8 < 2y < 0 ( divide each interval by 2 )
- 4 < y < 0
Then y can equal - 3, - 2, - 1
The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?
Answers
Answer:
1 second
Step-by-step explanation:
use the general quadratic formula
Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answers
Answer:
4 ft higher
Step-by-step explanation:
Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.
So, by Pythagoras' theorem,
10² = 6² + d² (the length of the ladder is the hypotenuse side)
d² = 10² - 6²
d² = 100 - 36
d² = 64
d = √64
d = 8 ft
Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.
Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).
Now, applying Pythagoras' theorem to the ladder with these new lengths, we have
10² = (6 + x)² + (8 - 2x)²
Expanding the brackets, we have
100 = 36 + 12x + x² + 64 - 32x + 4x²
collecting like terms, we have
100 = 4x² + x² + 12x - 32x + 64 + 36
100 = 5x² - 20x + 100
Subtracting 100 from both sides, we have
100 - 100 = 5x² - 20x + 100 - 100
5x² - 20x = 0
Factorizing, we have
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0 or x = 4
The top of the ladder is thus 4 ft higher
Write the expanded form of 4 (14a + b - 6).
Answers
Answer:
here is your ans
Step-by-step explanation:
14a=b-6=14a+b-6
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Answers
The options aren't given, however, the range of amount spent could be calculated
Answer:
Kindly check explanation
Step-by-step explanation:
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Given that :
DVD costs the same amount
Number of DVD's = 3
Cost of cds = 10
Number of cds = 7
Total cost of cd's = 10 * 7 = 70
Let the price of DVD = x
Total amount spent = 90 - 100
Lowest price of DVD :
(amount spent - price of cd) / number of dvd
(90 - 70) / 3 = 20 /3 = 6.667
Highest price :
(100 - 70) / 3 = 30 / 3 = 10
Hence the pice of each DVD will range between /
6.6666 and 10.
Hence, prices listed within the range above are possible.
A CD manufacturer wanted to determine which of two different cover designs for a newly released CD will generate more sales. The manufacturer chose 70 stores to sell the CD. Thirty-five of these stores were randomly assigned to sell CDs with one of the cover designs and the other 35 were assigned to sell the CDs with the other cover design. The manufacturer recorded the number of CDs sold at each of the stores and found a significant difference between the mean number of CDs sold for the two cover designs. Which of the following gives the conclusion that should be made based on the results and provides the best explanation for the conclusion?
A. It is NOT reasonable to conclude that the difference in sales was caused by the different cover designs because this was not an experiment.
B. It is NOT reasonable to conclude that the difference in sales was caused the different cover designs because there was no control group for comparison.
C. It is NOT reasonable to conclude that the difference in sales was caused the different cover designs because the 70 stores were not randomly chosen.
D. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the cover designs were randomly assigned to stores.
E. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the sample size was large.
Answers
Answer:
The statement that gives the best conclusion that should be made based on the results and provides the best explanation for the conclusion is option D;
D. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the cover designs were randomly assigned to stores
Step-by-step explanation:
The data given in the question are presented as follows;
The particulars the CD manufacturer wants to determine = The CD cover design that will generate more sales
The mode of selection of the stores for the test = Random selection
The number of stores in each group of stores, n = 35 stores
The number of sets of stores tested = 2 sets of stores
Let [tex]\overline x_1[/tex] represent the mean number CDs sold at one set of stores and [tex]\overline x_2[/tex] represent the mean number CDs sold at the other set of stores
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, H₀; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
Given that the statistical analysis shows that the difference in mean between the two sets of randomly selected stores is significant, we therefore should reject the null hypothesis and accept the alternative hypothesis that there is a significant difference in CD sale attributable to the difference in cover design as the CDs having on of two cover design where assigned randomly to the stores.
PLS HELP ASAP ILL GIVE BRAINLIEST
find the base of a parallelogram with a height of 15m and an area of 330m
Answers
Answer:
22
Step-by-step explanation:
What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)
HURRYYYYY PLEASEEEEE
Find the area of the circle. Use 3.14 for p.
Answers
Answer: B
Step-by-step explanation:
Factor n2 + 8n + 12 completely.
Answers
Answer:
(n+2)(n+6)Step-by-step explanation:
[tex]n^2+8n+12\\\\[/tex]
Break the expressions into groups
[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]
Factor out n from n^2+2n
Factor out 6 from 6n+12
[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]
Factor out common term : n+2
[tex]=\left(n+2\right)\left(n+6\right)[/tex]
The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).
Given that,
The quadratic equation is,
n² + 8n + 12
Used the factorization method to factor the quadratic equation.
Now, factor the equation,
n² + 8n + 12
n² + (6 + 2)n + 12
n² + 6n + 2n + 12
n (n + 6) + 2(n + 6)
(n + 2) (n + 6)
Therefore, the factors of the equation are (n + 2) and (n + 6).
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Find the diameter of a circle with a circumference of
3724.7 km
Use your calculator's value of [pi). Round your answer to
the nearest tenth.
diameter =
Answers
diameter=1190 km
i really need help please!!
Answers
Answer:
q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja
During the 1990s, the forested area of Guatemala decrelised at an average rate of 1.7%.
If the forested area in Guatemala in 1990 was about 34 400 square kilometers, write an equation for the forested area for t years
after 1990. If this trend continues, predict the forested area in 2015.
Answers
Answer:
A is correct answer
Step-by-step explanation:
Here, we want to write an equation for a depreciation
The general form is;
V = I( 1 - r)^t
V is the present value in 2015
I is the initial value in 1990 which is 34,400
r is the decrease rate which is 1.7/100 = 0.017
t is the difference in years which is 2015-1990 = 25
Substituting these values, we have
V = 34,400(1-0.017)^25
V = 22,407.65 km^2
Help me plz I don’t get it
Answers
Answer:
3.33
Step-by-step explanation:
each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33
Answer:
3.33
Step-by-step explanation:
Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.
We have 3 cubes so -> 1 + 1 + 1 = 3
We also have 3 squares that are 1/10th of a cube.
1/10 * 1 = 0.1 so each square is equal to 0.1 unit.
We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3
We have 3 tiny squares that are 1/100th of a cube.
1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.
We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03
Add everything up: 3 + 0.3 + 0.03 = 3.33
What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0
O
С
D
Answers
Answer:
c) 32.5
Step-by-step explanation:
the formula for the mean of a data set is-
average= sum/count
14+54+54+35+25+34+21+23=260
so now we have our sum- 260
for the count, we just have to count how many numbers there are-
8
average= sum/count
=260/8
=32.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answers
Answer:
False
Step-by-step explanation:
WILL GIVE BRAINLIEST!
The slope of a line is 2/5
What is the slope of any line perpendicular to this line? (If an answer is undefined, enter UNDEFINED.)
Answers
Step-by-step explanation:
Explanation:
First, we must solve the equation for y to determine the slope: y = 2x + 3/2
By looking at the coefficient in front of x, we know that the slope of this line has a value of 2. To fine the slope of any line perpendicular to this one, we take the negative reciprocal of it:
slope = m , perpendicular slope = – 1/m
slope = 2 , perpendicular slope = – 1/2
Answer:
the slope would be -5/2
Explanation:
the perpendicular slope of a line is the negative reciprocal and the negative reciprocal of 2/5 is -5/2
Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6
Answers
Answer:
The total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Step-by-step explanation:
Complete question
Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.
Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.
Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.
Solution
Let "X" be the number of weeks for which Tom collected the stamps
The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]
It is given that he collects 8 stamps per week
So the total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Find the area of each composite figure.
Round to the nearest TENTH if necessary.
Answers
what two numbers multiply to -96 and add to -4
Answers
Answer:
-12 and 8
Step-by-step explanation:
Answer:
8 and -12
Step-by-step explanation:
xy = -96
x+y = -4
x = -y-4 which is the same as
substitution method:
y(-y-4) = -96
-y² - 4y + 96 = 0
-(y² + 4y - 96) = 0
(y + 12)(y - 8) = 0
y = -12
y = 8
What is the radius when the circumference is 314
Answers
Answer:
Radius is 50 cm.
Step-by-step explanation:
Evaluate [12 -5 x 9] = 3
Answers
Answer:
-33.
Step-by-step explanation:
[12 -5 x 9]
= 12 - 45
= -33.
Answer:
-36
Step-by-step explanation:
[12-45]=3
-33=3
-33-3=-36
A jar contains 25 gray, 7 pink, and 22 orange marbles. A marble is drawn at random.
P(not gray).
Answers
Answer:
25 grays, 7 pink, 22 orange
total marbles- 54
marbles that are not grey- 29
P(not grey): 29/54