Answer:
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Step-by-step explanation:
Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:
[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]T[/tex] - Period, measured in seconds.
Then, we solve (1) for [tex]T[/tex]:
[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]
[tex]T = \frac{6\pi}{8}\,s[/tex]
[tex]T = \frac{3\pi}{4}\,s[/tex]
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS
Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.
Answer:
FOR YOU LOVE
Step-by-step explanation:
If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.
THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT
PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE
20 points!!
Find the value of y when x=9.
y=1- 2x
Answer: The answer is -17
Step-by-step explanation:
Brainlist Plz?
Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
You deposit $1,600 in a bank account. The account pays 3% annual Interest compounded monthly. Find the balance after 5 years
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
step 2. A = P(1 + r/n)^(nt)
step 3. A = 1600(1 + .03/12)^((12)(5)
step 4. A = 1600(1.0025)^(60)
step 5. A = $1858.59
A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph
Answer:
8
Step-by-step explanation:
Which angles and sides must be congruent to each other? Select three that apply.
I am in need of help
Answer:
I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)
Step-by-step explanation:
how many centimeters are in 1 millimeter
Answer:
1 milli meter = 0.1 centi meter
Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79
Answer:
Your answer is D.
Step-by-step explanation:
plss help me il mark you brainly
Answer:
thisl give u extra credit: 2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Answer:
1. 78.54 (area)
2. 25.13 (circumference)
3. 4.5 (radius)
4. 13 (diameter)
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality in the box below, using "" for 2 if necessary. -5(4x + 7)
Answer:
I simplified it to -20x - 35
Step-by-step explanation:
-5 times 4x is -20x, -5 times 7 is -35.
Ryan works for a cell phone company. He earns $2,000 per month. He also receives $15 for each cell phone that he sells. Ryan's paycheck last month was $2,180. How many cell phones did Ryan sell last month?
Answer:
12 phones
Step-by-step explanation:
15 x 12 = 180 add 180 to his 2000 and bam 2,180
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answer:x= 38.079
Step-by-step explanation:
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?
Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]
Put m in (i) , we get
[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)
Answer:
square root of 29
Step-by-step explanation:
use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that
30 points!!!! a class of 30 students the Ratio of the numbers of boys to girls 7:8
How many girls are there in the class?
Answer:
16 girls in the class
14 boys in the class
Step-by-step explanation:
Because of the ratio of 7:8, I added 7+8.
7+8= 15
30 (the number of students in the class) divided by 15 (the sum of the ratio)
30/15= 2
I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.
Hope this helps!
what is one astronomical unit in inches
Answer:
5.89E+12
Step-by-step explanation:
a x + b y is equal to 12
Answer:
y= -a*x + 12
b b
Step-by-step explanation:
ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )
by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")
finally the result will be:
y= -a*x + 12
b b
Solve the two-step inequality and match the answer to the graph
Answer:
(see below; answers at the bottom)
Step-by-step explanation:
-4x + 7 ≥ 27
-4x ≥ 20
-x ≥ 5
Whenever you multiply or divide by a negative number in an inequality, flip the sign:
x ≤ -5
x/1 - 9 < -10
x - 9 < -10
x < -1
3x - 10 < -25
3x < -15
x < -5
5 (x - 2) > -15
Use Distributive Property:
5x - 10 > -15
5x > -5
x > -1
A) x < -5
So, A) 3x - 10 < -25.
B) x ≤ -5
So, B) -4x + 7 ≥ 27.
C) x < -1
So, C) x/1 - 9 < -10.
D) x > -1
So, D) 5 (x - 2) > -15.
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher
Answer:
Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.
14 years ago,
x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')
x - 14 = 3(x - 34)
x - 14 = 3x - 102
2x = 88
x = 44
Ishaan is 44 years old now.
Answer:
Christopher is 44 and ishaan is 24
Step-by-step explanation:
So im guessing this question is asking how old they are now
if christopher is 20 years older he will always be 20 years older
so we need to find how old he was 14 years ago
he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old
then add 14 years and he is 24
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).
Determine the slope and the y-intercept: y = 3x - 1
Answer:
Slope is 3
y - intercept is -1
Answer:
slope = 3, y- intercept is - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3 and y- intercept c = - 1
Find the measure of arc BC
Answer:
The measure of the Arc BC is 80
I don't remember how to do this question,
also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL
Answer:
x and p equal 92 and y equals 88
what is the error in this polynomial x²+9=(x+3)(x+3)?
Answer:
(x + 3i)(x - 3i)
Step-by-step explanation:
Wrong statement: x² + 9 = (x + 3)(x + 3)
Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
the difference of two numbers is 8. their sum is 17. find the two numbers?
9514 1404 393
Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
what is (9m)4 without exponents
Answer:
The answer is 36m
Step-by-step explanation:
Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.
Isabella needs to order some new supplies for the restaurant where she works. The restaurant needs at least 439 knives. There are currently 230 knives. If each set on sale contains 15 knives, what is the minimum number of sets of knives Isabella should buy?
Answer:
divide 15 by 439 you get 25.4
hope you have a wonderful day!
The minimum number of sets of knives Isabella should buy will be 14 sets
Given the least number of knives needed = 439 knives
Amount currently available on ground = 230knives
The remaining amount of knives needed = 439 - 230
The remaining amount of knives needed = 209 knives
If each set on sale contains 15 knives, the number of sets Isabella will need will be:
[tex]Total \ number \ of \ set \ needed = \dfrac{209}{15}\\ Total \ number \ of \ set \ needed = 13.93[/tex]
This shows that the minimum number of sets of knives Isabella should buy will be 14 (approximately)
Learn more on word problems here https://brainly.com/question/10731035