Answer:
f(x) = 2*cos(4*x) + 4
Step-by-step explanation:
This is obviusly a sinusoidal function, which can be written as:
f(x) = A*cos( w*x ) + M
Where:
A = amplitude
w = angular frequency
M = midline.
Remember that the maximum of a cosine
cos(x) = 1, when x = (2*n)*pi (for any integer n)
And the minimum is at:
cos(x) = -1, when x = (2*m + 1)*pi (for any integer m)
Whit this in mind, we know that we have a maximum when:
x = pi
then we want:
w*pi = (2*n)*pi
and a minimum at:
x = -3*pi/4
Then we want
w*(-3*pi/4) = (2*m + 1)*pi
In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:
w*pi = 4*pi = (2*2)*pi (here we have n = 2)
w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi (here we have m = -2)
Then we can take w = 4.
So the function is something like:
f(x) = A*cos(4*x) + M
The amplitude is equal to half of the difference between the maximum and the minimum values of y.
The maximum is:
y = 6
the minimum is:
y = 2
Half of the difference is:
A = (6 - 2)/2 = 2
A = 2
Then our function is:
f(x) = 2*cos(4*x) + M
The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)
M = Maximum - A = 6 - 2 = 4
M = Minimum + A = 2 + 2 = 4
Then the function is:
f(x) = 2*cos(4*x) + 4
Answer:
2cos (4/7x - 4pi/7) + 4
Step-by-step explanation:
5×(985÷628)-(752×492)=??
Please fast as u can....
35pts+brainllist answer
Answer:
-369976.157643
Step-by-step explanation:
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Answer:
Stefanie bought 10 erasers.
Step-by-step explanation:
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Beind "x" be the number of erasers bought, you can express Stepanie's purchases by the equation:
1.75 + 0.25*x = 4.25
Solving:
0.25*x = 4.25 - 1.75
0.25*x = 2.5
x= 2.5÷ 0.25
x=10
Stefanie bought 10 erasers.
Answer:
10 erasers
Step-by-step explanation:
Please help me please
Answer:
SA=390
Step-by-step explanation:
9*14=126
126+126=252
14*3=42
42+42=84
9*3=27
27+27=54
252+84+54=390
the graph of y=x^2-4x is shown. name a zero of the function below
Answer:
0 and 4
Step-by-step explanation:
y = x^2 - 4x can be factored as follows: y = x(x - 4).
We find the zeros by setting this factored form equal to zero and solving for x:
x(x - 4) = 0, or x = 0, or x = 4.
The two zeros of this function are 0 and 4.
If p : q = 2/3 : 3 and p : r = 3/4 : 1/2 , calculate the ratio p : q : r Giving your answer in its simplest form.
Answer:
Step-by-step explanation:
p:q = ⅔:3 = 2:9 = 6:27
p:r = ¾:½ = 3:2 = 6:4
p:q:r = 6:27:4
Can someone help me i will give extra points
For the top part, both equations are vertical angles, so both equations will equal the same angle.
(4 + 23x) = (24x)
4 + 23x = 24x
4 = 24x - 23x
4 = x
Plug in x = 4 into both equations.
4 + 23(4) = 24(4)
4 + 92 = 96
96 = 96
Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.
Answer: 96 degrees is the angle--------------------------------------------------------------------------------------------------------------
For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.
(x + 120) + (x + 80) = 180
x + 120 + x + 80 = 180
2x + 200 = 180
2x = 180 - 200
2x = -20 (don't worry about having a negative solution)
x = -10
Plug in x = -10 into both equations.
(-10) + 120 + (-10) + 80 = 180
110 + 70 = 180
180 = 180
Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.
Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?
a. 95%
b. 99.7%
c. 0.3%
d. 5%
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
#SPJ2
HELPPP PLEASE nearest tenth
Answer:
8.8
Step-by-step explanation:
Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?
Answer:
(9, 2)
Step-by-step explanation:
What point divides the directed line segment AB¯¯¯¯¯ into a 3:1 ratio?
coordinate plane with segment A B with A at (0, 2) and B at (12, 2)
(3, 2)
(4, 2)
(8, 2)
(9, 2)
Solution:
If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let us assume C(x, y) is the point that divides segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:
[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]
Therefore the coordinate of point C is at (9, 2).
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
Someone plz help me giving brainliest!
Answer:
the estimate is : 39 7/32
the answer is : 46 9/35
A trailer is 160 inches. A driveway is 60% longer than the car. How long is the driveway?!?
Answer:
266.666667
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Step-by-step explanation:
step 1: I am going to convert the measurements
into decimals
8/5=1.6
2/5=.4
step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour
1.6=.4
1=?
1*.4=.4/1.6=.25
step 3: I will convert .25 into a fraction
.25=1/4
for every 1/4 pound pumpkin, I will use 1 pound of flour
which is why
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Find the measure of each numbered angle on this Triangle.
Answer:
m<1 = 69
m<2 = 37
m<3 = 106
m<4 = 21
Step-by-step explanation:
find the total surface area of this cone
Answer:
Step-by-step explanation:
3.14*10*(10+24^2+10^2 squared)
31.4*5870 squared
31.4*76.62
240.5554
I don't know if this is right
HELP PLZ!!!
A chord is a diameter.
-always
-sometimes
-never
Answer:
always hope this helps :)
Step-by-step explanation:
Step-by-step explanation:
sometimes would be your answer<3
The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.
Half the number of guesses are
less than what number?
Answer:
C. 74
Step-by-step explanation:
add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.
HELP ME PLEASE I BEG YOU AND I WILL VOTE YOU BRAINLIEST IF YOU REALLY HELP!!!!
Answer:
The correct answer is A(-3,-5)
PLEASE I NEED HELP!!!
If technology improves, what would happen to the PPC?
Answer:
For the economy as a whole, an improvement in technology shifts the production possibilities frontier outward. Production Possibility Frontier (PPF): An increase in technology that allows for greater output based upon the same inputs can be described as an outward shift of the PPF, as demonstrated in this figure.
{will give brainiest}
In quadrilateral ABCD, m∠A = 8x-65,
m∠B = 6x-53,
M ∠ C = x+ 121,
and m ∠ D = 6x+21.
a. Find m∠A, m∠B, M ∠ C , and m ∠ D .
b. Classify quadrilateral ABCD as a kite, trapezoid, or isosceles trapezoid. Justify
your answer.
c. What is true of the side lengths?
Answer:
Sum of interior angles of a quadrilateral is 360°Find x first:
m∠A + m∠B + m∠C + m∠D = 360°8x - 65 + 6x - 53 + x + 121 + 6x + 21 = 36021x + 24 = 36021x = 336x = 336/21x = 16Find angle measures:
m∠A = 8*16 - 65 = 63°m∠B = 6*16 - 53 = 43°m∠C = 16 + 121 = 137°m∠D = 6*16 + 21 = 117°Each angle has a different measure, it means the sides are all different.
The quadrilateral ABCD is likely a trapezoid.
Answer:
360°.....................
Can someone help me quick. I really need help!! I’ll mark brainliest!! Please & thank youuu!
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What is the sum of the interior angles of the following convex polygon?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
Hope it helps!
mark me as the brainliest.....
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what is the value of ( 7 plus 2 cubed) x 9
Answer:
135
Step-by-step explanation:
[tex](7 + 2 {}^{3} ) \times 9 \\ = (7 + 8) \times 9 \\ = 15 \times 9 \\ = 135[/tex]
Answer:
135
Step-by-step explanation:
2 cubed=8
8+7=15
15x9=135
PLZ IF RIGHT I WILL GIVE BRAINLIST: One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
Ans=______%
the answer is it decreased 17%
im not 100% btw
Can someone helpppp plssss
Answer:
angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees
Answer:
Step-by-step explanation:
The three interior angle measures of this triangle are x= ___, y= ___, and z= ___.
Answer:
∡x = 30°
∡y = 70°
∡z = 80°
Step-by-step explanation:
PL Z HELP 30 points brainliest
Kenneth sold $26,000 worth of computers in eight days. At this rate, how many dollars worth of computers can he sell in 10 days?
Answer:
$32500
Step-by-step explanation:
26,000/8=3250
325010x10=32500
Plz show your work.
Answer:
look at the picture i sent.......
(2.5) to the power of 2 = ? please help ASAP
Answer: 6.25
Step-by-step explanation:
PLEASE ANSWER THIS FOR MEEEEE
Answer:
23°
Step-by-step explanation:
sin ∠N= OP/NO= 19/49
⇒∠N ≈ 23°