Answer:
100:20 or 100/20 or 100 to 20
1.06 SINUSOIDAL GRAPH VERTICAL SHIFT
What is the period of the function f(x)=cos10x
The cosine function is the trigonometric function, so it is known as the periodic function.
The period of the given function is π/5. The option 4 is the correct option.
What is the period of the cosine function?
The cosine function is the trigonometric function, hence it is known as the periodic function.
The period of a function is the total interval in which the function repeats itself over and over again the of the function for a complete cycle. If,
[tex]f(x)=A\cos(Bx+C)+D[/tex]
Then the period of the cosine function can be given as,
[tex]I=\dfrac{2\pi}{|B|}[/tex]
Given information-
The given function in the problem is,
[tex]f(x)=\cos(10x)[/tex]
The above function is the cosine function. Let a cosine function of in with values of [tex]x[/tex] 0 to 2π.
Now the period of the periodic function is the interval of [tex]x[/tex] values in which the the cycle of graph repeats itself in both directions.
Compare the given function with above equation we get,
[tex]B=10[/tex]
Thus the period of the [tex]\cos (10x)[/tex] is,
[tex]I=\dfrac{2\pi}{|10|}\\I=\dfrac{\pi}{|5|}\\I=\dfrac{\pi}{5}\\[/tex]
Hence the period of the given function is π/5. Thus the option 4 is the correct option.
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Answer:
○ [tex]\displaystyle \frac{\pi}{5}[/tex]
Explanation:
[tex]\displaystyle \boxed{f(x) = sin\:(10x + \frac{\pi}{2})} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{20}} \hookrightarrow \frac{-\frac{\pi}{2}}{10} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]
From the information above, you have your answer.
I am delighted to assist you at any time.
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total trip , in lowest terms , has been traveled?
Answer:
1/3
Step-by-step explanation:
120/360 = 12/36 = 2/6 = 1/3
PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
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A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
just do the exam
Step-by-step explanation:
Answer:
173,949 lb
Step-by-step explanation:
Volume of a sphere:
[tex] V_{sphere} = \dfrac{4}{3}\pi r^3 [/tex]
A hemisphere is half of a sphere, so its volume is half of the volume of a sphere with the same diameter. Also, radius = diameter/2.
[tex] V_{hemisphere} = \dfrac{2}{3}\pi (\dfrac{d}{2})^3 [/tex]
[tex] V_{hemisphere} = \dfrac{2}{3} \times 3.14159 \times (\dfrac{22~ft}{2})^3 [/tex]
[tex] V_{hemisphere} = 2787.639~ft^3 [/tex]
Now we use the density of water to find the weight of the water contained in the tank.
weight = volume * density
weight = 2787.639 ft^3 * 62.4 lb/ft^3
weight = 173,949 lb
Find the measure of arc LM.
Answer:
arc LM = 119°
Step-by-step explanation:
KL = LM
arc KL = arc LM
2(arc LM) = 360° - 122° = 238°
arc LM = 119°
Help due soon will give brainliest
Answer:
C.
Step-by-step explanation:
4 to the power of 2 is 16
6 to the power of 2 is 36
Add them up and it's 52
10 the power of 2 is 100
100 does not equal 52 so therefore it is not a right triangle
help plz im so stuck
Answer: yes
Step-by-step explanation:
Which type(s) of fractions have the same value?
like fractions
simplified fractions
equivalent fractions
all of the above
only b and c
Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?
Answer: [tex]432\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]
Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high
base area for the water is the same i.e. [tex]12\ in.\times 6\ in.[/tex]
The volume of rectangular prism is [tex]l\times b\times h[/tex]
The volume of water in the vase is given by
[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]
What is the value of z? Need HELP ASAP!! Need Answer NOW!
Answer:
8
Step-by-step explanation:
What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°
Answer:
56 degrees
Step-by-step explanation:
Hello there!
Remember the sum of the angles in a triangle is equal to 180
so to find the missing angle we subtract the given angles from 180
180 - 34 - 90 = 56
so we can conclude that the measure of the missing angle is 56 degrees
Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from
Answer:
third angle Δ = 56°hope it help you
PLZ HELP WILL GIVE BRAINLIST IF CORECT!!!
Answer:
w 2 x 6
Step-by-step explanation:
How would you write 5^-3 as a fraction with no exponents ?
Answer:
1/ 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
(53)−3. First, distribute the -3 in the exponent to the numerator and the denominator. (5−33−3) Because both of the exponents are negative=(35)3=27125
A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?
Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.
Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.
Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.
Answer:
The first one is mean absolute deviation and the second one is did not improve
Step-by-step explanation:
I took the test
The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
The given table is:
Mean MAD
Last Year 16.2 s 1.2
This Year 14.7 s 1.9
Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.
The mean absolute deviation is bigger, but the change in the mean is bigger.
difference of the mean 16.2 - 14.7 = 1.5
difference of the MAD 1.9 - 1.2 = 0.7
This means that the average speed of the runners increased since last year,
and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.
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find the value of x below
Answer:
283
Step-by-step explanation:
I need some help please it’s due in 20 minutes!
Answer:C
Step-by-step explanation:
I am not that sure.. but I think the answer is C.
Help me answer this please
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
How to Simplify (7^6)^2
Answer:
Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large
Step-by-step explanation:
Answer: (7⁶)² = 7¹²
Step-by-step explanation:
All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².
Hope this helps, and don't forget to mark me brainliest! Have a wonderful day!
If 2 inches on a map represents 100 miles, how much does 3.5 inches
represents on the same map? *
Answer:
175 miles
Step-by-step explanation:
3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser
HELP ASAP i dont know how to do any of this
Answer:
Step-by-step explanation:
Circumference is= to diameter * Pi
[tex]6\pi = 6*3.14=18.84\\15\pi=15*3.14=47.1[/tex]
For the ones that are radius, double it, then pi
[tex]21*2\pi = 42\pi =42*3.14=131.88\\6.7*2\pi=13.4\pi =13.4*3.14=47.076[/tex]
The enrollment at Ousley Jr. High School dropped by 60 students over a 5-year period. What is the average yearly drop in enrollment?
Answer:
The average yearly drop in enrollment is 12.
Step-by-step explanation:
The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:
number of students= 60
number of years= 5
60/5=12
According to this, the answer is that the average yearly drop in enrollment is 12.
WHAT IS THE HA AND RANGE
ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER
Answer:
hahaha
Step-by-step explanation:
you said that you will give brainliest to the first person to answer not the first person to get it right
The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Answer: the answer will be a
Step-by-step explanation:
do you guys know the answer to this problem?
Multiply:
2 1/4 x 1 1/2 x 5/3=?
Answer:
The answer is 48.12, I didn't used calculator
Wsg, Thank you Holmes
Answer: um..
Step-by-step explanation:
Find the sum of (9+7n)+(-3+5y)+(5+6b)
Answer: 6b+7n+5y+11
Good luck!
Mary Borrowed $3,000 at the rate of 8% per annum interest is compounded annually calculate the total amount owed at end of the 2 years?
Answer:
A=P×(1+r÷100)t
A=3000×108÷100×108÷100
A=17496÷2
A=3499.2
Step-by-step explanation:
Find the difference.
(9/4x + 6)-(-5/4x-24)
Answer:
9x/4 + 30 + 5x/4
Step-by-step explanation:
[tex]9x/4 +30 +5x/5[/tex]
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (9/4x + 6) - (- 5/4x - 24)
Simplify the expression, then we have
⇒ (9/4x + 6) - (- 5/4x - 24)
⇒ (9/4)x + 6 + (5/4)x + 24
⇒ (14/4)x + 30
⇒ 3.5x + 30
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
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