Answer:
A. N(t) = 0.5·sin((π/6)·t) + 1.5
Step-by-step explanation:
The given parameters are;
The model of the periodic function = Sine function
The low of the attendance = 1,000,000
The month of the low in attendance = September
The high in attendance = 2,000,000
The month number = t,
The month of January is represented by, t = 1
N(t) = The attendance in millions of visitors
The generic sine function which is given as y = a·sin(b·x + c) + d, ranges from -1 to 1
Period = 12 = 2·π/b
∴ b = 2·π/12 = π/6
c = 0
a = The amplitude = (The maximum - The minimum)/2 = (2,000,000 - 1,000,000)/2 = 500,000
Therefore, a = 0.5×1,000,000 = 0.5·N(t)
Therefore, given that the minimum, [tex]N(t)_{min}[/tex] = 1, we have;
For sin(b·x + c) = -1, a·sin(b·x + c) = -0.5, for the minimum of 1,000,000 = 1 × 1,000,000, we have;
a·sin(b·x + c) + d = 1
∴ -0.5 + d = 1
d = 1.5
Therefore, we have;
N(t) = 0.5·sin((π/6)·t) + 1.5
Answer:
N(t) = 0.5sin((π/6)t) + 1.5
Step-by-step explanation:
You are doing great today. I am proud of you for waking up and getting on with life. Mwuah have a good day don't let anyone take you down.
Answer:
this just helped me so much
Step-by-step explanation:
Omg ilysm and thank you for spreading such positivity Muaahhh<3
help me pleas guys thx love ya so much!!
Answer:
answer is 5d-10=c
hope that helps in any way
The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.
Answer:
2n+14=30
2n=30-14
2n=16n=8You and your friends live on the same street. One friend lives to the East of you and the other lives to the West. You walk three blocks West to pick up your first friend and then walk five blocks East to visit your other friend. How far does the second friend live from you? Is the answer positive or negative? How do you know this? Model your work using the manipulatives provided and then record your work on your record sheet.
Answer:
2 blocks
Step-by-step explanation:
if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1,1,6,10,12,13,13,14,16,19
Min:
Q1:
Med:
Q3:
Max:
Answer:
Min: 1
Q1: 2.75
Med: 12.5
Q3: 8.25
Max: 19
Step-by-step explanation:
can someone pls help first gets brainilest
The table shows the results of rolling a number cube with sides labeled 1 through 6 several times. Outcome Number of times outcome occurred 1 10 What is the experimental probability of rolling a 3 or a 6? 2 6 Enter your answer as a fraction in simplest form in the box.. 3 4 4 8 5 6 Basic 6 6 7 8 9 L: X y
Answer:
Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).
Simplified: 1/4 (or 1 over 4)
Step-by-step explanation:
If the mean of A and B is 20,the mean of B and Cis 24 and the mean of A,BandC what is the mean of A and c
Answer:
The mean of A and C is equal to 10.
Step-by-step explanation:
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of obervations}}[/tex]
The mean of A and B is 20,
[tex]A+B=20\\\\A+B=40\ \ .........(1)[/tex]
The mean of B and C is 24,
[tex]B+C=24\times 2\\\\B+C=48\ \ .........(2)[/tex]
The mean of A,B and C is 18,
[tex]A+B+C=18\times 3\\\\A+B+C=54\ .....(3)[/tex]
Put the value of A+B from (1) in (3),
C = 14
Put the value of B+C from (2) in (3)
A = 6
Mean of A and C is :
[tex]M=\dfrac{A+C}{2}\\\\M=\dfrac{14+6}{2}\\\\M=10[/tex]
So, the mean of A and C is equal to 10.
A sweater that costs $30 is sold at a 20% discount. What is the sale price?
$6. 30 times 2 = 6. Hope this helps!
How many solutions are there to the equation 3x – 5 = 2 x - 3 - x?
A. no solutions
B. exactly one solution exactly
C. two solutions
D. infinitely many solutions
Plz help will mark brainliest :)
Answer: 6
Step-by-step explanation:
[tex]-5x+\frac{8x}{4}[/tex]
[tex]-5(-2)+\frac{8(-2)}{4}[/tex]
[tex]10+\frac{-16}{4}[/tex]
[tex]10-4[/tex]
= 6
What is the length of the hypotenuse? 13 in 45 marking brainliest and giving thanks to all!!
Answer:
the Last angle equal 45
because we have 90 and 45 so to complete the 180 Degrees we have to put 45
169+169=x²
2×169=x²
x=13√2
the answer is B
please help. i have no clue how to do this please give any tips :)
Answer: 36.25°
Step-by-step explanation:
Use SOHCAHTOA (sin, cosine and tangent)
SOHCAHTOA:
SOH: Sin(θ) = Opposite / Hypotenuse
CAH: Cos(θ) = Adjacent / Hypotenuse
TOA: Tan(θ) = Opposite / Adjacent
When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.
And just as a note, θ this symbol is called theta, and it represents an angle.
TAN(θ) = Opposite / Adjacent = 11/15
Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.
TAN(θ) = [tex]\frac{11}{15}[/tex]
θ = [tex]tan^-1(\frac{11}{15} )[/tex]
Then, using a calculator, solve. The answer is about 36.25°
Jenny cut an apple into eight equal slices. She gave of the apple to Kendall.
Which shows how much of the apple Jenny has left?
Fraction does not make sense this question
Does anyone know how to solve this?
Answer:
$ 22.5
Step-by-step explanation:
B(x) = 30.50 - 0.20x
Notice that x defines the number of prints.
For prints = x = 40
B(40) = 30.50 - 0.20(40)
B(40) = 30.50 - 8
B(40) = 22.5
Remaining amount is $22.5
B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.
That's why the function is 30.50 - 0.20x.
Where x is the nunber of times you spend(buying prints)
jackson bought a soft drink for $2 and 7 mini pizzas. He spent a total of $16. How much did each mini pizza cost? (Turn the problem into an algebraic equation AND solve for the variable to find the answer.)
Answer:
y = 7x + 2
spent $2 per pizza
*x = 2
Step-by-step explanation:
7 (2) +2
14+2
16
Answer:
The guy above me is correct, give him brainliest
Step-by-step explanation:
PLEASE HELP I’ll give brainlest!!
Answer:
3x*59x=
Step-by-step explanation:
Answer:
126 degrees
Step-by-step explanation:
The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.
By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.
PLEASE HELP. WILL GIVE BRAINLIEST
Answer:
B is the correct answer I believe
Can you pls help me
Answer:
I think the two answers would be A & D.
Explanation:
Sorry if I'm wrong.
Answer:
The answer is D
Which expression is equivalent to 2(2x + 1) + 3x + 3?
A) 4x + 3
B) 4x + 5
C) 7x + 4
D) 7x + 5
Answer:
D) 7x+5
Step-by-step explanation:
2(2x+1)+3x+34x+2+3x+37x+5hope it helps.
stay safe healthy and happy.Answer:
[tex]D) 7x + 5[/tex]
Step-by-step explanation:
[tex]2(2x+1)+3x+3[/tex]
[tex]2(2x)+2 \times 1+3x+3[/tex]
[tex]4x+2 \times 1+3x+3[/tex]
[tex]4x+2+3x+3[/tex]
[tex]7x+2+3[/tex]
[tex]7x+5[/tex]
Hope it is helpful.....the answer choices are :
1
2
3
4
5
or
6
Answer: 5
Step-by-step explanation:
The mode is the number that appears the most often in the set of data. As we can see, 5 is the most common number.
ILL GIVE BRAINLIEST. plsss help adap
Answer:
i think its the first one im not 100% sure but i think it is
Step-by-step explanation:
hopefully this helps
Answer:
Acceleration decreases velocity until the car stops.
How does the geography contribute to the economy of the land?
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 16x
Answer:
[tex]$64, \ (x+8)^2$[/tex]
Step-by-step explanation:
A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of [tex]$ax^2+bx+c$[/tex].
The given expression is :
[tex]$x^2+16x$[/tex]
The co-efficient of the x-term in [tex]$x^2+16x$[/tex] is '16'.
So half of the term 16 ,
[tex]$\frac{16}{2} = 8$[/tex]
and [tex]$(8)^2=64$[/tex]
Now add 64 to the expression:
[tex]$x^2+16x+64$[/tex]
Therefore, the perfect square trinomial is
[tex]$(x+8)^2=x^2+16x+64$[/tex]
Aaliyah invested $550 in an account paying interest rate of 4% compounded constantly assuming no deposits or withdrawals are made how much money to the nearest cent would be in the account after 20 years I NEED THE ANSWER ASAP PLEASE!!!!!
Answer:
1224.05
Step-by-step explanation:
formula:
PV(e^(it))
550*e^(.04*20)=1224.0475 which rounds to 1224.05
Can someone please help me on this?
A toy remote control car is driven across a table. Based on the graph, how far from the start line will the car be after 5 seconds?
50 cm
100 cm
120 cm
160 cm
Answer:
100 cm
Step-by-step explanation:
This is a linear function with an equation of y = 20x.
Plug 5 in for x to get 100 as your answer.
Answer: 100 cm
Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds
(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)
On a standardized exam, the scores are normally distributed with a mean of 350 and
a standard deviation of 40. Find the Z-score of a person who scored 346 on the exam.
Answer:
[tex]\boxed {\boxed {\sf z= -0.1}}[/tex]
Step-by-step explanation:
A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:
[tex]z= \frac{x- \mu}{\sigma}[/tex]
where x is the value, μ is the mean, and σ is the standard deviation.
For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.
x= 346 μ= 350 σ= 40Substitute the values into the formula.
[tex]z= \frac{ 346-350}{40}[/tex]
Solve the numerator.
[tex]z- \frac{ -4}{40}[/tex]
Divide.
[tex]z= -0.1[/tex]
The z score is -0.1, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.
asap! plsss helo i’ll give brainliest
Answer:
The answer is 5 N norths I think :)
Step-by-step explanation:
Which way is the wind blowing in relation to the land and ocean?
Answer: Hope This Helps!
Step-by-step explanation:
This wind happens to be the sea breeze. The sea breeze is a thermally produced wind blowing during the day from the cool ocean onto the adjoining warm land. It is caused by the difference in the rates of heating between the land and the ocean. The bigger the difference in temperature, the stronger the wind.
Answer:
When the air mass above the land becomes cooler than the air mass over water, the wind direction and convective cell currents reverse and the land breeze blows from land out to sea.
Step-by-step explanation:
hope I helped here’s a funny comic just for fun!
What is an
equation of the line that passes through the points (-4, -3) and
(3, -3)?
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3