Answer:
You did not include the graphs, but I can explain how the graph is and so you can recognize it.
1) for x = 0, y = sin(0) = 0, so the origin (0,0) is part of the graph.
2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.
3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π
That means that the values repeat every 4π interval (which is the same that 720°)
4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).
That means that the function crosses the x-axis at
..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...
5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).
Now you have plenty information to identify the graph.
I also include a graph of the function in the attached pdf file.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken? please explain with the answer
Answer:
6
Step-by-step explanation:
The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.
But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
A 3-dimensional shape is made of 36 unit cubes, without any gaps. What is the volume of the shape?
Answer:
36 unit
Step-by-step explanation:
The number of unit cubes in the shape = 36 unit cubes
The dimension (volume) of each cubes = 1 unit³
The type of shape = 3-dimensional
The arrangement of the cubes in the shape = Without gaps
The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes
Therefore;
The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³
The volume of the 3-dimensional shap³e, V = 36 unit³
HELPPP PLEASEEEE
Identify the transformations you would apply to f(x) = sin x to graph f(x) = 0.5 sin (x - 30%)
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
Help me please ITS DUE IN 6 MINS PLEASE
Answer: -6y-12 and 5.5h+14
Step-by-step explanation:
-2(3y+6) = -6y-12
5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14
A ABC is isosceles. Find AC.
B
3x + 3
20 + 8
A
A
C
Ansfdfgh gggghjtyuhjrswzargfyf
Step-by-step explanation:
HELP PLEASE
20. What is vertex of the function f(x) = 2x2 – 12x + 10 ?
A. (-2, -8)
B. (3, 18)
C. (3, -8)
D. (2, 10)
Answer:
C
Step-by-step explanation:
my workings are in the image above
Find the difference:
8 1/9 - (5/9)
Answer: 7 5/9
Step-by-step explanation:
8 1/9 - (5/9) = 68/9 = 7 5/9
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
que es el rango en matemáticas
please help! thank you!
Chen can jump rope 60 times a minute. At that rate, how many jumps can he make in 9 minutes?
Answer:
540 jumps in 9 minutes.
Step-by-step explanation:
60 jumps a minute. Chen is fast, but we need to find how many jumps in 9 minutes.
Let's say one minute is m
m = 60
9m = 60x9
We do x9 because from m to 9m you need to multiply by 9, so lets do that on both sides.
9m = 540
9 minutes = 540 jumps
Hope this helps!
--Applepi101
Pick a number less than or equal to 30 from a bag with 40 pieces of paper
numbered 1 through 40.
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
a line goes through the points (6,3) and (-6,-3). Find its slope provide the answer as a fraction simplified in lowest
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / -6 - 6
-6 / -12
= 1/2
We want to find the slope of a line given that we know that the line passes through the points (6, 3) and (-6, -3).
We will find that the slope is: 1/2
A general line can be written as:
[tex]y = a\cdot x + b[/tex]
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We know that our line passes through (6, 3) and (-6, -3), then the slope of our line will be:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12}[/tex]
Now to simplify this, we know that:
-12 = 2×(-6)
Replacing that in the above equation we get:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12} = \frac{-6}{2\cdot -6} = \frac{1}{2}[/tex]
Then the slope written as a simplified fraction is:
a = 1/2
If you want to learn more, you can read:
https://brainly.com/question/3605446
find the length of the missing triangle. round your answer to three decimal places
PLEASE HELP!
Answer:
There is just one simple rules for find other side
Step-by-step explanation:
Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
Can someone help me with this question please
Answer:
the anwser is d
Step-by-step explanation:
Here we are given that C is between A and B.
So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC
Hope that helps
Answer:
AC Or CA
Step-by-step explanation:
So, this is what a b and c would look like on a number line:
A----C----B
However, we dont know exactly what these variables are. THey could be somerthing like this:
A------------------C-B
But this doesnt matter.
If we look at the first numberline, A and C make up the first half of the numberline.
C to B make up the later half.
AB is the total numberline.
SO tecnically, A to C+ C to B = AB
Or:
AC + CB = AB
This can also be seen in the second numberline.
A to C make up almost all of the numberline.
C to B make up a smll amount.
But in the end, AC + CB will still make AB.
Hope this helps you! :D
In a normal distribution, what is the probability that a data value will fall below the
data value associated with a z -score of 3.37?
A 99.96%
B 0.04%
C 1%
D 99.95%
Answer:
A 99.96%
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
The probability can be gotten from the normal distribution table. Therefore from the normal table:
P(z < 3.37) = 0.9996 = 99.96%
Pls help just type no files
Answer:
36 spoons
Step-by-step explanation:
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
Which one of the following phrases best describes the line that passes through the
points (5, -7) and (a, -4), where a < 0?
o Rises from left to right
Falls from left to right
o Horizontal
o Vertical
The phrases best describes the line that passes through the points (5, -7) and (a, -4) is rise from left to right.
What are coordinates?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis
As, we locate this coordinate in graph we can see the line will either rise from left to right or falls from right to left.
Hence, line that passes through the points (5, -7) and (a, -4) will rise from left to right.
Learn more about coordinates here:
https://brainly.com/question/12149933
#SPJ2
7th grade math help me pleaseeee
Answer:
4x + 5y = 20
Step-by-step explanation:
4x + 5y = 20
5y = -4x + 20 (Subtract 4x to isolate 5y. Put the 4x in front of the 20)
y = [tex]-\frac{4}{5}x[/tex] + 4 (Divide all by 5 to isolate y)
And then it's done and in slope-intercept form
[tex]-1< -\frac{4}{5} < 0[/tex] or [tex]-\frac{4}{5}[/tex] is greater than -1 but less than 0
I hope this helped :)
Its a quadratic equation I Dont know exactly how to solve it help please
Answer:
Step-by-step explanation:
(x - 2)(x + 4)
=x(x + 4) -2(x + 4)
=x^2 + 4x - 2x - 8
=x^2 + 2x - 8
(x + 1)(x + 6)
=x(x + 6) +1(x + 6)
=x^2 + 6x + x + 6
=x^2 + 7x + 6
(x - 4)(x + 2)
=x(x + 2) -4(x + 2)
=x^2 + 2x - 4x - 8
=x^2 - 2x - 8
(x + 5)(x - 3)
=x(x - 3) +5(x - 3)
=x^2 - 3x + 5x - 15
=x^2 + 2x - 15
(x - 6)(x - 2)
=x(x - 2) -6(x - 2)
=x^2 - 2x - 6x + 12
=x^2 - 8x + 12
Andrew is using tiles to decorate a rectangular table that is 4/5 meter long and 2/3 meter wide. What is the area of Andrews table in square meters
Given:
Length of rectangular table = [tex]\dfrac{4}{5}[/tex] meter
Width of rectangular table = [tex]\dfrac{2}{3}[/tex] meter
To find:
The area of the table.
Solution:
Area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width.
Substitute [tex]l=\dfrac{4}{5}[/tex] and [tex]w=\dfrac{2}{3}[/tex] in the above formula to find the area of the rectangular table.
[tex]A=\dfrac{4}{5}\times \dfrac{2}{3}[/tex]
[tex]A=\dfrac{8}{15}[/tex]
Therefore, the area oft he table is [tex]\dfrac{8}{15}[/tex] square meters.