Answers
Answer:
y = 2sin(x - π/4)
Step-by-step explanation:
The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).
Related Questions
Write the Prime factors that 24 and 36 have in common By showing them multiplied together
Answers
The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3
How to get prime factors?A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.
Now, we have;
Prime factors of 36; 2 × 2 × 3 × 3
Prime factors of 24; 2 × 2 × 2 × 3
The prime factors that they have in common will be; 2 × 2 × 3
Read more about Prime factors at; https://brainly.com/question/1081523
#SPJ1
What is the length of DF if ED=2y +12, DF = 3y +8,
and EF = 25?
E
D
(not drawn to scale)
A 1
B 11
C 14
D 9
Answers
The length of the segment DF is 11 units
How to determine the length of DF?The given parameters are:
ED = 2y + 12
DF = 3y + 8
EF = 25
The length EF is:
EF =ED + DF
This gives
2y + 12 + 3y + 8 = 25
Evaluate the like terms
5y + 20 = 25
Subtract 20 from both sides
5y = 5
Divide by 5
y = 1
Substitute y = 1 in DF = 3y + 8
DF = 3(1) + 8
Evaluate
DF = 11
Hence, the length of DF is 11 units
Read more about lengths at:
https://brainly.com/question/2217700
#SPJ1
Can someone help me find the Axis of Symmetry and Range for my parabola graph please?
Answers
Check the picture below.
the axis of symmetry is the line, in this case a vertical one, where the graph begins to mirror itself.
the range is simply the vertical distance in this case, the parabola goes as low as 0 then back up, the arrows mean the graph keeps on +∞.
Write the inequality graphed on the number line.
-3 3
Answers
Answer:
c
Step-by-step explanation:
i took the test
The function p(x) = x(x - 5)(x − 2)(x+3) has four zeros. What is the smallest zero?
=
X =
1
1
2
•
X
3
Answers
Answer: The smallest zero is -3.
Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.
Here, the given function is,
p(x) = x(x-5)(x-2)(x+3)
For finding the zeroes of p(x),
p(x) = 0
⇒ x(x-5)(x-2)(x+3) = 0,
⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0
⇒ x = 0 or x = 5 or x = 2 or x = -3
Thus, the zeros of the given function are 0, 5, 2, -3
In which -3 is smallest.
Answer:
x = -3
Step-by-step explanation:
x(x-5)(x-2)(x+3) = 0 means at least one of these terms = 0
so
x = 0 or
x-5 = 0 then x = 5 or
x-2 = 0 then x = 2 or
x+3 = 0 then x= -3
What is the slope of the line tangent to the polar curve r=3theta
Answers
The slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.
What is the slope?A surface on which one end or side is at a higher level than another; a rising or falling surface.
The slope of the line tangent to the polar curve;
[tex]\rm r =3sin\theta[/tex]
The slope of the tangent is given by the following formula;
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + cos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}[/tex]
Differentiate the given polar curve
[tex]\rm r =3sin\theta\\\\\dfrac{dr}{d\theta}=3cos\theta\\\\[/tex]
Substitute all the values in the formula
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + rcos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (3cos\theta \times sin\theta +3 sin \theta \times cos\theta)}{(3cos\theta \times cos\theta-3 sin \theta \times sin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{3 (cos\theta sin\theta + sin \theta cos\theta)}{3(cos\theta cos\theta- sin \theta sin\theta)}\\\\[/tex][tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin\theta cos\theta}{(cos^2\theta -sin^2 \theta)}[/tex]
Substitute the value of [tex]\theta[/tex] in the equation
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin \dfrac{\pi }{6} cos\dfrac{\pi }{6} }{(cos^2\dfrac{\pi }{6} -sin^2 \dfrac{\pi }{6} )}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{2 \times 0.5 \times 0.86}{0.86^2 -0.5^2}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.73- 0.25}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.48}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =1.79[/tex]
Hence, the slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.
Learn more about slopes here;
https://brainly.com/question/1593553
#SPJ4
Find The Median, First quartile, third quartile, and interquartile range of the data.
the numbers are 20,18,6,4,11,22,0
Answers
Answer:
Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8
Step-by-step explanation:
1. Sort the numbers in numerical order (like 1, 2, 3, etc.)2. Find the number that is in the middle3. Find all the quartiles by finding the median of the lower and upper halves of the list4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR
Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the
diameter of the barrel was. She needs to know the diameter so that she can build a platform for it to sit
on. The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in. What is the
diameter of the barrel? Round only your final answer to the nearest inch.
Answers
The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cylinder can be given as,
[tex]V=\pi r^2h[/tex]
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.
She needs to know the diameter so that she can build a platform for it to sit on.
The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.
[tex]V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in[/tex]
The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,
[tex]d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in[/tex]
Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
#SPJ1
A certain triangle has side lengths of 125 feet, 142 feet, and 250 feet. Which of the corresponding side lengths below represent a triangle similar to this one?
25 feet, 42 feet, 175 feet
175 feet, 202 feet, 425.5 feet
275 feet, 312.4 feet, 962.5 feet
100 feet, 113.6 feet, 200 feet
pls answer asap
Answers
Answer: 100ft 113.6ft 200ft
Step-by-step explanation:
These new lengths are all ⅘of the original length
BOXES A cardboard box company designs all of its boxes so that they have a depth of n, a height of 2n+1, and a width of 3n+2.
Answers
The volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
V=w×h×l
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A cardboard box company designs all of its boxes suc that they have the measure of depth of n, a height of 2n+1, and the measure of width of 3n+2.Thus, the volume of this box is,
V=w×h×l
V=(3n+2)×(2n+1)×(n)
V=(3n+2)×(2n²+n)
V=6n³+3n²+4n²+2n
V=6n³+7n²+2n
Thus, the volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n
Learn more about the volume of a rectangular prism here;
https://brainly.com/question/4016105
#SPJ1
Use the equation y=3(1/2)^x to determine the value of y if x=−2. A)3 B)4/9 C)3/4 D)12
Answers
Step-by-step explanation:
remember the rules of exponents.
a "minus" sign means 1/...
like 2^-1 = 1/2
and 2^-3 = 2^(3(-1))
so, it is 1/2³ = 1/8.
so, now here in our case
y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =
= 3× 1 / 1/4 = 3×4 = 12
A particular tree falls over in a bonsai forest and is considered to be an average tree (in the middle 20%). If the mean height is 10cm and the standard deviation is 2 between what heights must the tree be?
Answers
Using the normal distribution, it is found that the tree must have heights between 9.49 cm and 10.51 cm.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 10, \sigma = 2[/tex]
Considering the symmetry of the normal distribution, the middle 20% is between the 40th percentile(Z = -0.253) and the 60th percentile(Z = 0.253), hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 10}{2}[/tex]
X - 10 = -0.253 x 2
X = 9.49.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 10}{2}[/tex]
X - 10 = 0.253 x 2
X = 10.51.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Chiletso just got a new cylindrical fish tank, which he plans to stock with a variety of african cichlids.
. the height of the cylindrical fish tank is 30 inshes.
. the length of the diameter of the base is 27.5 inches.
. one us gallon is equal to approximately 231 cubic inches.
. cichlids grow to approximately 6 inches.
. a good rule of thumb is to have about 3 inches of fish per 2 gallons of water.
calculate the maximum number of african cichlids chiletso can put in his tank.
Answers
The maximum number of African cichlids which can put by Chiletso in this cylindrical fish tank is 19.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cylinder can be given as,
V=(πd^2h)4
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
The height of tank is 30 inches and the length of the diameter of the base is 27.5 inches. Thus, the volume of it is,
V=[π(27.5)²(30)] /4
V=17818.72 cubic inches.
One us gallon is equal to approximately 231 cubic inches. Thus, the volume in gallon is,
V=17818.72/231
V=77.12 gallons.
A good rule of thumb is to have about 3 inches of fish per 2 gallons of water. The number of 6 inches cichlids the can put in 77.12 gallons tank is,
V=(77.12 x 3)/(6 x 2)
V=19.28
Thus, the maximum number of African cichlids which can put by Chiletso in this cylindrical fish tank is 19.
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
#SPJ1
1. i dentify if the following figure is an examle of a parallelogram. show your solution.
2. is this given figure on the side a parallelogram of Not?(prove using the properties of parallelogram)
Answers
The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ1
Question, if 1 = 10, 2 = 12, 3 = 14, and 4 = 16, what would 5 equal?
Answers
Answer:
5=18
Step-by-step explanation:
they are counting by 2s 10,12,14,16,18
Hope this helps!
Answer:
18
Step-by-step explanation:
It seems like for this pattern, as the x-value(base value) increases, the corresponding y-value(value changing with the base value) increases by 2 given that the function starts with a y-intercept of 8. So at the value 0, the corresponding number would be 8. So in this case, by creating a function regrading this information we can solve for the corresoponding value of 5: y = 2x + 8
y = 2 * 5 + 8
y = 10 + 8
y = 18
5 = 18
Another way to approach this is just by following the pattern given to us in the description. We see that the pattern starts at 10, and increases by 2 for each increasing base value. Therefore, if 4 = 16, then 16 + 2 = 5, so 5 = 18.
Select all ordered paris that satisfy the function,
y = -3x + 9
A. (-2, 15)
B. (1, -6)
C. (3, 0)
D. (6, 1)
Answers
Answer:
(-2,15) (3,0)
Step-by-step explanation:
By substituting the x value in the coordinate (the first number in the bracket) and solving the equation, you must get the y value in the coordinate (second number in the bracket.
So that is to say:
A
y= -3x + 9
y = -3(-2) + 9
y = 6 + 9
y= 15
Also note that B is not one of them, because the y value you get when you substitute the x value in the equation is NOT NEGATIVE 6.
What is the awnser to 1x1?
Answers
Answer:
1
:)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
because you do 1 by its self
like
1 x 2 = 1 + 1 = 2
if you were doing 1 x 1
1 + 0 = 1
you would add 0 because there's not another number
A fish tank holds 24 gallons of water complete the table
Answers
Answer:
For 50% its 12, for 25% its 6, and for 75% its 18
Step-by-step explanation:
What is the radius of a sphere with a volume of 47270 cm 3 , 47270 cm 3 , to the nearest tenth of a centimeter?
Answers
The volume of a sphere is 47270 cm ^3 to find the radius of the sphere .
We know that the formula of the volume of the sphere is given by volume =4/3 pie r ^3
Where r is the radius of the sphere
Substitute the value to get r , and we get
47270=4/3 x 22/7 x r^3
Transpose the equation, and we get
r^3=47270 x 3/4 x 7/22
r^3 =23635 x 3/2 x 7/22
On further solving , we get
r^3 =496335/44
r^3 =11280.34091
r= 3 cube root 11280.34091
r=22.4271
So the radius of the sphere is 224271 cm
And on rounding it off to the nearest tenth of a centimeter , the radius of the sphere becomes 22.4 cm
So the answer is 22.4 cm
Answer answer please
Answers
Answer:1 4/16
Step-by-step explanation: Theres 1 circle thats all shaded so thats a whole then you got the other circle and thats shaded 4.
Answer:
A
Step-by-step explanation:
the circle with all the yellow is a whole so that is 1 the circle with only 4 in yellow is 4 right now we have 1 and 4, then you will count the circle thats NOT FULL and you will get 16. so the answer is 1 4/16
what is the value of 6 n=2 (n-1)!/2
Answers
Answer:
16 i think
Step-by-step explanation:
A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events. What is the approximate probability that the student will choose to participate in two team sports? 0. 114 0. 227 0. 273 0. 545.
Answers
Answer: 0.227
Step-by-step explanation:
Answer:
B. 0.227
Step-by-step explanation:
Have a great day!
What is expression is equivalent to 5x + 30
Answers
Hey there!
5x + 30
5(x + 6)
= 5(x) + 5(6)
= 5x + 30
5x + 30 = 5x + 30
Therefore, the answer should be:
5(x + 6)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
40 x 125% step it out
Answers
Answer:
0.50 or 50%
Step-by-step explanation:
40 x 125 = X
1.25 as a decimal or 125%
40 x 1.25 = 0.50
0.50 --->50%
40 x 125% = 50%
Write an expression for each phrase. 1. Jose had 3 more hits today than in yesterday’s game.
Answers
Answer:
y=3x bro I'm pretty sure this is wrong tho I'm not good at math
Answer:
I'm not sure but I think it's +3
Step-by-step explanation:
more than = +
Solve the expression. use order of operations. 8x3+70/7-7
Answers
which fraction has a value that's equal to 3/4? A. 9/16 B. 12/16 C. 4/3 D. 12/12
Answers
Answer:
B. 12/16
Step-by-step explanation:
12/16 divided by 4/4 = 3/4
Which one of the following histograms represents the data in the table below?
Answers
Answer:
see below
Step-by-step explanation:
C
Because the first day reaches up to 8 in c, while all the others don't
Question 7 of 25
What is the solution to this equation?
3x - 5+ 2x = 25
A. x= 30
B. x = 20
C. X= 4
D. X= 6
SUID
Answers
Step1: combine the like terms. Here 3x and 2x are like terms
3x + 2x - 5 = 25
5x - 5 = 25
Step2: Now add 5 to both sides
5x = 25 + 5
5x = 30
Step3: Divide both sides by 5
x = 30/5
x = 6
Answer: \boxed{x= 6}
Can anyone please help me out?:)
Answers
f(x) is our regular graph where the y value is determined by the x value that is plugged in.
f(x + 2) = horizontal shift to the left 2 units
---x, the horizontal axis, is what is being altered here because the change occurs within the parenthesis. We always do the opposite action/move the opposite way when the shift occurs within the parenthesis.
f(x) + 2 = vertical shift up 2 units
---y, the horizontal axis, is what is being altered here because the change occurs outside the parenthesis. We move the function as we would expect to when the shift occurs outside the parenthesis.
Hope this helps!