Answer:
Max E=3.8 Voltage
Step-by-step explanation:
[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]
The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
What is the range of the trigonometric function cosine?The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
How do we solve the given question?We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).
We are asked to find the maximum voltage E that can be obtained from the circuit.
The voltage E = 3.8cos(110π t).
In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.
Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
When the variable attains the maximum value = 1, the value of the voltage E = 3.8*1 = 3.8.
∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
Learn more about the ranges of trigonometric functions at
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**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players
The lower the frequency the least common the average.
There are two frequencies that are 1, which would be the least common.
The answer is C. 0.320-0.329 and 0.360 -0.369
Answer:
option C
Step-by-step explanation:
option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.
PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y>x
y> 2
X>4
A. (6,4)
B. (4,2)
C. (8,1)
D. (9,-2)
E. (9, 10)
F. (5,6)
Answer:
F
Step-by-step explanation:
y should be greater than x and greater than 2.
x should be greater than 4 but less than y
i have no idea what to do can someone pls help me quick
Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89
Answer:
$2907.89
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 930
t = 19
r = 6% = 0.06
Step 2: Find Interest
Substitute in variables [Compounded Continuously Formula]: [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply: [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents: [tex]\displaystyle A = 930(3.12677)[/tex]Multiply: [tex]\displaystyle A = 2907.89[/tex]THIS IS TO HELP OTHER PEOPLE IF THEY FIND THIS QUESTION THIS QUESTION IS ALREADY CORRECT
What is the value of this expression?
[(3+5)⋅2−5]⋅3
Enter your answer in the box.
PLEAAASE HELP!!! WILL GIVE BRAINLIEST!!!!!!
Answer:
Compared to a standard cosine function, the graph has a phase shift of [tex]5\pi/6[/tex] to the right, and compared to a sine function it has a phase of shift of [tex]\pi/6[/tex] to the right.
Step-by-step explanation:
The standard cosine function [tex]y=\cos x[/tex] has its maximum (vertex of the interval concave down) intersect with the y-axis. In this case, that part is shifted [tex]\frac{5\pi}{6}[/tex] to the right.
The standard sine function [tex]y=\sin x[/tex] has the point where it crosses its midline intersect with the x-axis. In this case, that part is shifted [tex]\frac{\pi}{6}[/tex] to the right.
What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)
28 in.
24 in.
30 in.
27 in.
Answer:
28 inches
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 22/7 ( 9)
C =198/7
=28.28571429 inches
PLZZ HELPPP
Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20
Answer:
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Step-by-step explanation:
Given the simultaneous equation
x+y=21
5x+4y=20
To write in matrix form, it must be in the form AX= b
X = A⁻¹b
A⁻¹ is the inverse of matrix A
A is a 2by2 matrix
X is the variables
b is a column matrix
The expression will therefore be written as;
[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]
Hence the required product matrix that represent X is;
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
help me..........
only 23...
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
if (x+y , 2x-3) = (5,3) find the value of x and y. plz answer ASAP!!!
Answer:
x=3
y=0
Step-by-step explanation:
2x-3=3
2x=6
x=3
x+y=3
3+y=3
y=0
Answer:
ans: x= 3 and y= 2
Step-by-step explanation:
equating corresponding order pair,
x + y = 5 and
2x-3 = 3
so x=6/2 I.e
x= 3
putting x in
x + y = 5
y = 5- 3
y = 2
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.
Answer: 99/130
Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.
So the probability is 99/130.
If a + b = 5 and a - b = 9, what is a^2+b^2?
Answer:
=53
Step-by-step explanation:
a=5-b &. a=9+b
combine
5-b=9+b
-4=2b
b= -2
thus, a=7
(-2)^2 + (7)^2
4+49
=53
choose the equation of the line that is parrarel to the y axis
In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
are there from those 26 cards?
Step-by-step explanation:
It doesn't matter what order they are drawn in, so youi have a combination problem
26C5
My calculator gives the answer directly,
It is 65780
help asap ------------
Answer:
(-35, 0)
Step-by-step explanation:
x- intercept => y =0
y = -68, -51, -34, -17, 0
x = -79, -68, -57, -46, -35
(x, y) =>(-35, 0)
What is the slope of the line graph above?
If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?
Answer:
36,738
Step-by-step explanation:
The first step is to calculate the radius
= 60/2
= 30
Therefore the volume can be calculated as follows
= πr^2h
= 3.142 × 30^2 × 13
= 3.14× 900×13
= 36,738 cubit feet
Hence the volume of the grain pile is 36,738 cubic feet
You get 11 points if you answer a.s.a.p
Answer:
Have you got it now?
Step-by-step explanation:
What is the equation of the following line written in slope-intercept form?
Answer:
C
Step-by-step explanation:
y=-7x-11
How can you add eight 4s together so that the total adds up to 500?
What is 25% of 4kg 200g
Step-by-step explanation:
25% of 4kg 200g
25/100 × 4.200
4.200/4
=1.05 kg or 1kg 50g
Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.
Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =
12? Which ones would work?
Answer:
Step-by-step explanation:
The given linear equation can be reduced, ending up as
y - x = 4 or y = x + 4
If we choose our own x values, we can calculate the corresponding y value in each case:
x y = x + 4 ordered pairs
0 4 (0, 4)
1 5 (1, 5)
3 7 (3, 7)
-2 2 (-2, 2)
please help me which of the following is the quotient of the rational expressions shown below
Answer is C
✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔
What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?
Answer: The remainder is 0.
Step-by-step explanation:
We are given:
Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]
Divisor polynomial = [tex]2x^2-3[/tex]
We divide the dividend by the divisor using the long division method.
In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.
The long division of the two polynomials is attached in the image below.
From the image, we can say that the remainder of the two is 0
Need help of this!! Domain and range!!
Answer:
its the first one
Step-by-step explanation:
−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?
Step-by-step explanation:
−2(4y+1)=−8y−2
4y+1=4y+1
infinite solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
-2(4y+1)=−8y−2
=> -2(4y)-2(1)= -8y-2
=> -8y-2=-8y-2
=> Infinitely many solutions as x from both sides get cancelled
the equation of a straight line is given as 3x+y=7. the slope of this line is
Answer:
The slope is -3 and the y intercept is 7
Step-by-step explanation:
3x+y = 7
We can write the equation in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
The slope is -3 and the y intercept is 7
There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation: