The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)
Write the formula of the function, where x is entered in radians
Answer:
3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units.
Step-by-step explanation:
hope this helps :))
Equation of the sinusoidal function
f(x) = 2sin(6x) - 7
What is sinusoidal function?A sinusoidal function is one with a smooth, repetitive oscillation. "Sinusoidal" comes from "sine", because the sine function is a smooth, repetitive oscillation.
Examples of everyday things which can be represented by sinusoidal functions are a swinging pendulum, a bouncing spring, or a vibrating guitar string.
Given,
Graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (π/4, -9)
Let function be
f(x)=asin(bx)+c ---------(1)
When x = 0
f(0)=-7,
⇒ -7=asin(0)+c
⇒ c=-7.
When x = π/4
f(π/4)=-9,
⇒ -9=asin(bx)-7;
Sine is constrained to [-1,1], and since (π/4,-9) is a minimum,
sin(bx) must be equal to -1.
⇒ -9=a·(-1) - 7
⇒ a = 2
For minimum
-1=sin(π/4.b),
⇒ πb/4=3π/2,
⇒ b=6
Putting value of a, b, c in equation (1)
f(x) = 2sin(6x) - 7
Hence, f(x) = 2sin(6x) - 7 is the equation for sinusoidal function.
Learn more about sinusoidal function here:
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HELP!!!
Which of these numbers is irrational?
A 33 % dextrous solution ( 33 mg per 100 mL of solution) is given intravenously. Suppose a total of 1.936 L of the solution is given over a n 11-hour period. Complete parts (a) through (c) below.
what is the flow rate in units of ml/hr?
mL/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
What is the flow rate in per hour?
nothing mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
b. If each mL contains 16 drops (the drop factor is expressed as 16 gtt/mL), what is the flow rate in units of gtt/hr?
nothing gtt/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
c. During the 11 -hour period, how much is delivered?
nothing mg (Type an integer or decimal rounded to the nearest thousandth as needed.)
Answer:
[tex]176\ \text{ml/hr}[/tex]
[tex]58.08\ \text{mL/hr}[/tex]
[tex]11\ \text{gtt/hr}[/tex]
[tex]638.88\ \text{mg}[/tex]
Step-by-step explanation:
33 % dextrous solution ( 33 mg per 100 mL of solution)
1.936 L of the solution is given over an 11-hour period
So the flow rate in mL/hr is
[tex]\dfrac{1.936\times 10^3}{11}=176\ \text{ml/hr}[/tex]
The flow rate in ml/hr is [tex]176\ \text{ml/hr}[/tex]
Flow rate of dextrous in mL/hr is
[tex]0.33\times 176=58.08\ \text{mL/hr}[/tex]
The flow rate dextrous in mL/hr is [tex]58.08\ \text{mL/hr}[/tex]
Each mL contains 16 drops so flow rate in gtt/h is
[tex]\dfrac{176}{16}=11\ \text{gtt/hr}[/tex]
The flow rate in units of gtt/hr is [tex]11\ \text{gtt/hr}[/tex]
The mass of dextrous delivered 11 hours in mg is
[tex]0.33\times 1.936\times 10^3=638.88\ \text{mg}[/tex]
The mass of dextrous delivered 11 hours in mg is [tex]638.88\ \text{mg}[/tex]
What is the image point of (0,-5) after a translation right 5 units and up 2 units
2 1/2 divided by 1/3
Answer:
7.5 or 7 1/2
Step-by-step explanation:
Answer:
7 1/2
Step-by-step explanation:
Hope this helped! <3
Ratios Unit Test 2020-2021 (WARD) 14 of 20
Frank weighs 80 pounds. About how many kilograms does Frank weigh? (1 kilogram 2.2 pounds)
A. 176 kilograms
B. 78 kilograms
OC. 36 kilograms
Answer:
bru
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
find the slope of each line
Answer:
[tex]m=\frac{-1}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(-1, -1)
(2, -2)
[tex]m=\frac{-2-(-1)}{2-(-1)}[/tex]
[tex]m=\frac{-2+1}{2+1}[/tex]
[tex]m=\frac{-1}{3}[/tex]
2(3y−4)=19−3y Can someone Solve this
Carrie is three times older than Julio. If the sum of their ages is 48, how old is Carrie?
Answer:
The sum of her age is 144
Step-by-step explanation:
C = J + 3J = 4J
J + 4J = 48
_________________________________________________________
Answer:
Julio = 9.6
Carrie = 28.8×3= 86.4
So sorry if its wrong, but please mark the branliest C:
Answer:
Carrie is 36 julio is 12
Step-by-step explanation:
What is an equation for the line that passes through the coordinates (-1,2) and (7,6)?
Answer: 1/2x+5/2
The slope equation Y=Mx+B
What is the slope of the following line y=5x - 2
Answer:
m = 5 is the answer
Step-by-step explanation:
use symbolab I use it all the time
Answer:
the slope is 5
Step-by-step explanation:
the formula is y=mx+b and in this case 5 is m which stands for the slope
I can find Y by y/2=k
Answer:
Good for you
y = 2k
2 = y/k
i need help on this please
Answer:
17 miles, it took her, altogether.
Step-by-step explanation:
2x48/67=x helppppppppppppp
Answer:
2x48 is 96
Step-by-step explanation:
Answer:
x= 1 29/67
Step-by-step explanation:
just do 2x 48/67 on a fraction calculator and boom heres x. Lol, hope this helps.
GEOMETRY, PLEASE HELP ME ASAP
I don't think I can do it. sorry
Which table is a probability distribution table?
Answer:
The Last One (Yellow/0.3 Orange/0.4 Green/0.15 Purple/0.15)
Step-by-step explanation:
I just took the test and got it right :)
Answer:
Step-by-step explanation:
The 1st table is correct. I put the last choice as my answer and was incorrect.
If a jar of coins contains 20 half-dollars and 200 quarters, what is the monetary value of the coins?
Answer:
40(.50) + 200(.25) = 20 + 50 = $70
Step-by-step explanation:
40(.50) + 200(.25) = 20 + 50 = $70
Answer:
$60
Step-by-step explanation:
20 half dollars means that there's 10 dollars in it (because you divide 20 by 2 since 2 half dollars make one dollar)
It takes 4 quarters to make one dollar and if there's 200 quarters then there's 50 dollars in it (200 divided by 4 is 50)
Identify as either expressions, equations or inequalities:
56 m - 7
Answer:
It's an Expression.
Step-by-step explanation:
you have an initial balance of $800 in your savings account that your parents started for you. you are currently withdrawing $40 per week. write an equation
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
week. 800 = 40 = week = we 2k
Helpppp asfap plssss will mark brainless
the 3rd one bc 2x-5 is 10 and 4x2 is 8 and 5x3 is 15
BRAINLIEST WILL BE GIVEN A quarterback on a professional football
team completes, on average, 10 passes for
every 15 passes he attempts. How many
passes can he expect to complete if he
attempts 525 passes in a season?
Answer:
350
Step-by-step explanation:
525/15=35
35x10=350
Heelllppppp mehhh plzzz
Answer:
y=-x+2, y=1/3x+2
Step-by-step explanation:
1) the y intercept is at 2, the slope is -1
2) the y intercept is at 2, the slope is 1/3
6. The temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit. How much higher was the temperature on Saturday?
Answer:16.7
Step-by-step explanation:subtract 63.5 by 46.8 and you will get 16.7 degrees fahrenheit
If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that the temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit.
The temperature on Saturday is how much less than the temperature on Friday found as,
= 63.5 - 46.8
= 16.7° F
Thus, If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
Learn more about the arithmetic operation here:
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If f(x) = 5 x + 2 and g(x) = x - 1
f(g(4)) =
solve for x PLEASEEE
2x-7+4=x+4
Answer:
x = 7
Step-by-step explanation:
2x-7+4 = x+4
2x-7 = x
2x = x+7
x = 7
Hope this helps!
g you are playing a game in which you flip 3 fair coins. it costs $1 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game. If all coins show the same (all heads or all tails) you win $7, otherwise you lose your $1. The expected value of the game is
Answer:
Expected value of the game is $1.75
Step-by-step explanation:
The probability of getting a head or a tail on flipping a coin is 1/2 and so the probability of winning is 1/2 as we need all heads or all tails . There are 3 fair coins so the expected value of winning is given by =
P(1st coin =x =head)= 1/2
P(2nd coin =x =head)= 1/2
P(3rd coin =x =head)= 1/2
P(1st coin =x =tail)= 1/2
P(2nd coin =x =tail)= 1/2
P(3rd coin =x =tail)= 1/2
E(X= win) = ∑xP(x)= (1/2)³+(1/2)³= 1/8 + 1/8= 2/8
Expected value of winning the game is $ 7*2/8= 14/8=$ 1.75
$ 1.75- $1= $ 0.75
$ 0.75 (8) = $ 6
This means that for a total of $ 8 he gets $ 6.
A scientist was curious if they could predict the height of an adult man based on their father's height. They took a large sample of men and recorded each of their heights along with their fathers' heights (in centimeters). The scientist noticed a positive linear relationship between the heights. Here is computer output from a least-squares regression analysis on the sample:
Answer:
176cm
Step-by-step explanation:
ŷ = 100.640 + 0.431x
ŷ = 100.640 + 0.431(175cm)
ŷ = 100.640 + 75.425
ŷ = 176.065
Explain how these prisms are alike and how they are different
If m∠2 = 42 and m∠6 = 126, what is m∠4?
Answer: 138
Step-by-step explanation:
It’s slightly bigger than 90, so go with D, 138 degrees because 138 is 90 + 48. 48 is slightly more than 45, which is half of 90. 4 looks about 90 plus half of 90.
About 12% of children are nearsighted. A school district will be testing the vision of 170
incoming kindergarten children.
What proportion of these kids should we expect to be nearsighted (p-hat)?
Answer:
about 21 kids out of 170 are expected to be nearsighted (20:170)
Step-by-step explanation:
we find 12% out of 70 by muliplying 170 x 0.12 which equals 20.4
However it has to round up because we cant have half a child so 21 children.