Answers
Answer:
the midline is the line:
y = 0.
Step-by-step explanation:
The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.
Particularly, for trigonometric functions, we usually have:
f(x) = A*sin(k*x + p) + M
Where:
A is the amplitude.
x is the variable
k is a constant related to the frequency of the function.
p is a phase shift
M is the midline of the function, which means that the line that divides evenly the graph is y = M.
For our case, we have:
y = f(x) = 3*sin(2*x - π)
Then:
A = 3
k = 2
p = -π
And we do not have a constant term in that equation, this means that:
M = 0
This means that the line that divides evenly the graph is the line y = 0.
Related Questions
Plant a is 25 ft tall and plant b is 2ft tall.Plant A grows 2ft per week and plant B grows 21/5 feet per week. In how many days will the height of both the plants reach same
Answers
Answer:
10.5 weeks
Step-by-step explanation:
is you graph the following system, the point of intersection is (10.45, 45.9)
Plant A: y = 2x + 25
Plant B: y = 21/5x + 2
75 + 10x = 225 solve for x
Answers
Answer:
x = 15
Step-by-step explanation:
75 + 10x = 225
subtract 75 from both sides
10x = 150
divide both sides by 10
x = 15
Answer:
x = 15
Step-by-step explanation:
75 +10x = 225 Given
75-75+10x = 225-75 Subtract 75 from each side (to isolate x)
10x = 150 After
10x/10 = 150/10 Divided each side by 10 (to get the unite rate of x)
x = 15 Answer
Una maquina que fabrica tornillos produce un 3% de piezas defectuosas. Si hoy se han apartado 51 tornillos defectuosos cuantos tornillos ha fabricado la maquina?
Answers
Answer:
1700 tornillos
Step-by-step explanation:
Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.
Deje que el número total de tornillos producidos ese día sea x
Por lo tanto;
3% de x = 51
3/100 * x = 51
x = 51 * 100/3
x = 1700 tornillos
PLEASE HURRY!!!!!!
Express [tex](\frac{\sqrt{2} }{5} +\frac{5}{2}i)^{2}[/tex] in simplest a+bi form.
Answers
Expand the binomial:
(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i )²
… = 2/25 + √2 i + 25/4 i ²
… = -617/100 + √2 i
A student inscribes a triangle within a semicircle. What is the measure of
XYZ?
Answers
Answer:
Step-by-step explanation:
for a triangle inscribed in a semicircle that angle is always 90 degrees
9514 1404 393
Answer:
C. 90°
Step-by-step explanation:
A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.
If they drove for 4.75 hours, how far did they drive?
Answers
Answer:
332.5 miles
Step-by-step explanation:
let me know if its right :)
What is the solution to 40+40-20•0+3+125=
Answers
Answer:
188
i think, i'm not that sure what the dot in. "20.0" is. i cant tell if its for mutiplcation or a decimal
The solution to an equation is the result of solving the equation
The solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
The equation is given as:
[tex]40 + 40 - 20 \cdot 0 + 3 + 125[/tex]
Evaluate the products of 20 and 0
[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 40 + 40 -0 + 3 + 125[/tex]
Add the terms of the expression
[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 208[/tex]
Hence, the solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
Read more about equations and solutions at:
https://brainly.com/question/13729904
The grocery store is having a sale. For every 3 sticks of butter purchased, customers receive 1 free wedge of cheese. If the Crazy 80s Baby Jr. Buys 12 sticks of butter, how many free wedges of cheese will she receive?
Answers
Answer:
4 free wedges of cheese
Step-by-step explanation:
From the above question:
3 sticks of butter purchased = 1 free wedge of cheese
12 sticks of butter purchased = x
Cross Multiply
3 × x = 12 × 1
x = 12/3
x = 4 free wedges of cheese
Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.
Write an equation to represent the following statement.
The product of 12 and k is 84.
Solve for k.
Answers
Answer:
12(k)=84 k=7
Step-by-step explanation:
84/12=7
ASAP can someone help and explain this to me
Answers
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]HELP DOES ANYONE GET THIS? This is my “math help” class and I still don’t understand
Answers
Answer:
there are dots outside of the allotted area
Step-by-step explanation:
I've never taken a math help class but from your paper one can assume you have to point out the error in the graph. Its a bit fuzzy so I cant see the numbers or labels but you take what you learned for how to graph and apply it here.
For example:
The dots should stay inside the graph. Not on the outside
The numbers that are on the side, the axis, they should all progress in a specific sequence. Like 2,4,6,8,10. It needs to stay constant. Not 2,4,6,8,19
Same for both x and y axis^
I'm not sure if that helps much with what your doing seeing as the instructions apply what you've already learned, but I hope you do good!
The highest point in a park is 235 feet above sea level. The lowest point is 32 feet below sea level. What is the distance between the highest and lowest points in the park? _____ feet
Answers
Answer:
The distance between the points is equal to 267 feet
Step-by-step explanation:
In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........
235 - (-32) = 235 + 32 = 267
(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).
add above sea level and below sea level
The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at
$4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.
Answers
2
Which of the following are within the solution to x + 28 > 50 ?
(Select all that apply.)
A 10
B
15
C 22
D
25
E
30
Answers
Answer:
25 , 30
Step-by-step explanation:
x > 50 -28
x > 22
x is greater than 22.
Answer:
Step-by-step explanation:
D and E because x must be greater than 23
A bike covers 150 km distance. with 3 liters of petrol than what distance it will cover with 5 liters of petrol?
Answers
Answer:
The bike will cover 250 km of distance with 5 liters of petrol.
Step-by-step explanation:
First, we have to calculate the amount of distance the bike will be able to cover in 1 liter of petrol.
[tex]\frac{150 \ km}{3 \ liters}[/tex]
[tex]= 50 \ km/liter[/tex]
Therefore, for every liter, the bike will be able to travel 50 km of distance.
Now, let's multiply the distance travelled by each liter with the total number of liters.
[tex]\frac{50 \ km}{liter} \cdot 5 \ liters[/tex]
[tex]= 250 \ km[/tex]
Finally, we have our answer: the bike will cover 250 km of distance with 5 liters of petrol.
Hope this helped!
Answer:
Step-by-step explanation:
150 / 3 = 50 km per liter sooo
5 * 50 = 250 Km
John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *
Answers
Answer:
$ 65.13
Step-by-step explanation:
John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *
The formula for compound interest =
A = P(1 + r/n)^nt
Where
P = Initial amount deposited = $25
r = Interest rate = 6.4% = 0.064
n = number of times interest is compound = monthly = 12 times
t = time in years = 15 years
A = $25 × (1 + 0.064/12)^12 × 15
A = $65.13
His account balance at the end of 15 years is $65.13
Solve the following system of equations:
8x+14y=4
-6x-7y=-10
Answers
Answer:
(4,–2)
Took the quiz
what is three-fourths times a square of a number
just write the equation
Answers
Answer:
3/4(x^2)
Step-by-step explanation:
........................
D File
C:/Users/tonia/Desktop/YEAR%201.2/ADVANCED%20CALC/BSM%201207%
Highlight
Erase
+
Draw
2
A' Read aloud
b) A project has the following activities and other characteristics:
Activity Preceding Most
Most
activity optimistic likely
Most
pessimistic
A
B
С
D
E
F
G
H
1
А
A
C С.
D
B
E,F
G
4.
1
6
2.
5
3
3
1
7
5
12
5
11
6
9
4
19
16
15
30
8
17
15
27
7
28
Required
i) Draw the PERT network diagram.
Identify the critical path
Determine the mean project completion time.
iv) Find the probability that the project is completed in 36 weeks.
(16 marks)
וחו
P
100% 14
here to search
Answers
Answer:
Oh what a questionI cannot understand
Use _________ to isolate the variable.
A
reciprocals
B
subtraction
C
an expression
D
inverse operations
Answers
Answer:
Answer: D) inverse operations
Subtraction is the inverse operation of addition
Step-by-step explanation:
please mark as brainliest!!
Andrew wants to buy 3 video games that are $50 each. He earns $80 a week. In how many weeks will he have enough money to buy the games?
Group of answer choices
Answers
Answer:
He will have enough money after 2 weeks.
Step-by-step explanation:
If he wants to buy 3 video games that are $50 each, he would need $150. He makes $80 a week. By the second week, he will have earned $160, which is enough for all 3 games.
Factorise: (a^4 - 8a^2b^2 + 16b^4) -81
Answers
Answer:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
This can be written as the difference of 2 squares:
(a^4 - 8a^2b^2 + 16b^4) -81
= (a^2 - 4b^2)^2 - 81
=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]
= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
The factorized form of the given expression will be as:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The expression is given in the question as:
(a⁴ - 8a²b² + 16b⁴) - 81
We have to determine the factorized form of the given expression
As per the given question, the required solution would be as:
(a⁴ - 8a²b² + 16b⁴) - 81
This can be written as the difference between 2 squares:
⇒ (a² - 4b²)² - 81
⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]
⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ2
Geometry help please explain
Answers
Answer:
<A and <C
Step-by-step explanation:
If EA and EC are congruent, the angles <A and <C are also congruent
Answer:
angle A congruent to angle C
Write an equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form.
Answers
Answer:
Step-by-step explanation:
slope-intercept formula.. y= mx + b
so that's the form we want to get to
use the point-slope formula to get there y-y1 = m(x-x1)
m= slope and (x1,y1) is your given point
y-5 = 4(x-3.5)
y-4 = 4x - 14
y = 4x -14 +4
y = 4x -10
this looks like the slope-intercept form :)
The equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The slope of the line = 4
The line passes through a point (3.5, 5)
We know the equation of the line that has slope m and y-intercept c:
y = mx + c
y = 4x + c (m = 3)
Point (3.5, 5) must satisfy the above line equation:
5 = 4(3.5) + c
c = -9 put this value in the line equation we get:
y = 4x -9
Thus, the equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
BRAINIEST FOR THE FIRST ANSWER
Which could be his next step?
(3)(5) +
(1/5)+(3 (1)+() (1)
o (305) (
35) +(304)+(35)
+(5)
+
5+
Answers
Answer:
d
Step-by-step explanation:
If ABCD is dilated by a factor of 2, the coordinate of d would be:
Answers
Answer:
the coordinate of D is 6,4
Answer:
D=(6,-4)
Step-by-step explanation:
Evaluate (−23)×(−23)3 by using the Laws of Exponents
Answers
Given:
[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]
To find:
The value of given expression by using the Laws of Exponents.
Solution:
We have,
[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]
Using the Laws of Exponents, we get
[tex]=\left(-\dfrac{2}{3}\right)^{1+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\left(\dfrac{-2}{3}\right)^{4}[/tex]
[tex]=\dfrac{(-2)^4}{(3)^4}[/tex] [tex][\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}][/tex]
[tex]=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}[/tex]
[tex]=\dfrac{16}{81}[/tex]
Therefore, the value of given expression is [tex]\dfrac{16}{81}[/tex].
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Circle 1=6x+2y
Rectangle 4 = 3x+y
Circle 4 = 5x
Step-by-step explanation:
4x+3y and 2x-y can be added to find result for the circle.
Let C1 represent circle 1
4x+3y+2x-y=C1\\
Combining\:like\:terms\\
4x+2x+3y-y=C1
6x+2y=C1
So, The result is: C1=6x+2y
Now, We need to solve:
Let R1 represent rectangle 4
x+4y + R1 = 4x+5y
R1=4x+5y-(x+4y)
R1=4x+5y-x-4y
R1=4x-x+5y-4y
R1=3x+y
So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y
Now, We need to solve the equation:
Let C4= Circle 4
2x-y+3x+y=C4
Combining the like terms
2x+3x-y+y=C4
5x=C4
So, Solving 2x-y+3x+y=C4 we get C4 = 5x
simplify
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
[tex]12a {}^{9}b {}^{7} [/tex]
hope it helps
explanation in the pic above
Aubree invested $4,400 in an account paying an interest rate of 2.4% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
Answers
Answer:
We conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Step-by-step explanation:
We know the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
A denotes the Accrued Amount (principal + interest) P denotes the Principal Amount r denoted the Annual Interest Rate t denotes the Time Period in yearsn denotes the number of compounding periods per unit tGiven
Total amount A = $6,880
Principle amount P = $4,400
Interest Rate r = 2.4% = 0.024 per year
Compounded quarterly = n = 4
Thus, the time period can be fetched using the simplified-derived equation suchs as:
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values
t = ln(6,880.00/4,400.00) / ( 4 × [ln(1 + 0.006/4)] )
t = 18.8 years
Therefore, we conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Answer:
The answer is actually 18.7 -.-
Step-by-step explanation: