The vector representation of the phasor is given by:
24∠-30
What is a phasor?A phasor is a complex number, in the following format:
[tex]p = M\sin{(\theta - s)}[/tex]
In which:
M is the magnitude.s is the phase-shift.The vector representation is given by:
M∠s.
In this problem, the signal is:
[tex]v = 24\sin{(\theta - 30^\circ)}[/tex]
Hence, the vector representation is given by:
24∠-30
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If f(x) = 2x − 5, then what is the value of f(4x − 1)?
Step-by-step explanation:
well, you put the input term into the place of the original variable (as with any actual constant value) :
f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7
we could call this now g(x) (= f(4x - 1)).
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.
Answer:
147
Step-by-step explanation
Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change =
Of the two lights on Dexter
Street, the probability of the
lights being red is 20% for the
First light and 30% for the
second light. If a car is driving
down Dexter Street, what is
the probability that it does not
get stopped at either light?
Answer:
I am pretty sure it is a 50% chance.
Step-by-step explanation:
20 + 30 = 50%
What is 392,682 to the nearest ten thousand
Answer:
pretty sure its 390,000
Step-by-step explanation:
Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?
Answer: Ash
Step-by-step explanation:
Convert both into a percentage so it is clearer
Lia- 48%
Ash- 48.57%
If (-1, y) lies on the graph of y = 2^2x, then y =
-4
1
1/4
Answer:
y = 1/4
Step-by-step explanation:
hope this helps :)
A math test has 40 questions. A student answers 85% of the questions correctly. How many questions did the student answer correctly? Enter your answer in the box
Answer:
34
Step-by-step explanation:
40 * 0.85 = 34
34 questions answered correctly
Hey there,
85% = [tex]\frac{85}{100}[/tex] = 0,85
0,85 x 40 = 34
The student answered 34 questions correctly.
:)
Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab
We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab
Just add all these expressions and you will get your answer as ;
[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]
[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]
Collect like terms ;
[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]
Help please due today.
Which expression shows the length, BC, of the base of the stand?
A. 7 over tan 55 degrees
B. 7(cos 55 degrees)
C. 7 over sin 55 degrees
D. 7(tan 55 degrees)
Answer:
A) [tex]\frac{7}{tan55^\circ}[/tex]
Step-by-step explanation:
[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]
Georgia bought 10 meters of ribbon to make bows. Each bow requires 50 centimeters of ribbon. How many bows can Georgia make?
Answer:
Step-by-step explanation:
Please Answer question…
Answer:
I believe the answer is 490.63.
Step-by-step explanation: Let me know if I'm wrong.
If Rob can eat 8 munchkins in 20 minutes, how long would it take him to eat 20 munchkins.
What is the sum of k° + i°?
Determine the approximate value of angle A
answer
40°
step by step explanation
according to the figure the two angles are given
the sum of all angles of triangle is 180°
What is an equation of the line that passes through the points (-1, 3) and (-1, 6)?
just answer
Answer:
7x + 4y = 17
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
(6 - 3) / (-1 - -1) = 3/0 so there is no slope
so the equation is x = -1
What is the equation of a line with a slope of -1 and a y-intercept of -5?
Answer:
equation: y = -x - 5
Step-by-step explanation:
using the formula: y = mx + b ..........where m is the slope and b is y-intercept
so the equation in slope intercept form will be: y = -1x -5
Find the volume of the irregular
figure.
1 cm
4 cm
3 cm 1 cm
9 cm
?] cm
5 cm
Answer:
23 times 3 or just 23
ox
Step-by-step explanation:
Find the least common denominator. Then express each fraction using the least common denominator.
5/12 and 4/18
Answer:
5/12 = 15/364/18 = 8/36Step-by-step explanation:
The least common denominator can be found as the product of the denominators, divided by their greatest common factor:
LCD = (12)(18)/6 = 36
This is 3 times 12, so
5/12 = (5/12)(3/3) = 15/36
and it is 2 times 18, so
4/18 = (4/18)(2/2) = 8/36
The two fractions are ...
5/12 = 15/364/18 = 8/36Anasia is a basketball player who regularly shoots sets of 222 free-throws. Suppose that each shot has probability 0.70.70, point, 7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of XXX, the number of shots that Anasia makes in a set of 222 attempts.
X= \# \text{ of makes}X=# of makesX, equals, \#, start text, space, o, f, space, m, a, k, e, s, end text 000 111 222
P(X)P(X)P, left parenthesis, X, right parenthesis 0.090.090, point, 09 0.420.420, point, 42 0.490.490, point, 49
Given that \mu_X=1.4μ
X
=1.4mu, start subscript, X, end subscript, equals, 1, point, 4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places.
Answer:
0.65
Step-by-step explanation:
on khan
Anasia is a basketball player who regularly shoots sets of 2 free throws. The required standard deviation is 0.65
How to find the sample standard deviation for the distribution of a sample proportion?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
Anasia is a basketball player who regularly shoots sets of 2 free throws. Suppose that each shot has a probability of 0.7, point, and 7 being made, and the results of the shots are independent.
[tex]e \times P(X=x) \\=0\times 0.09+1\times0.42+2\times0.49\\=0.49+0.98\\\\1.4[/tex]
Now,
[tex]E(X^2) = 0\times0.009 +1^2 \times0.42 +2\times0.42\\\\= 0.42+ 1.96\\\\=2.38[/tex]
we can calculate the standard deviation by variance
[tex]\sigma^2 = E(X^2) - (E(X))^2\\\\\sigma^2 =2.38 - 1.4^2\\\\\sigma^2 =0.42\\\\\sigma = 0.65[/tex]
The required standard deviation is 0.65
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Maggie has $16 to spend on lunch for the week she has already spent four dollars which inequality statement shows how much more money Maggie has left to spend for the week
Answer:
x ≤ $12
Step-by-step explanation:
Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.
Let the amount of money she has left to spend for the week be x.
Total spending for the week ≤ $16
$4 +spending for the rest of the week ≤ $16
$4 +x ≤ $16
Subtract both sides by $4:
x ≤ $16 -$4
x ≤ $12
Consider the diagram below.
5.66
x
у
5.66
Z
Which of the following represent the values of x, y, and z to the nearest hundredth?
Answer:
Step-by-step explanation:
y² = 5.66 × 5.66 ⇒ y = 5.66
x = z = 5.66√2 ≈ 8.00
The values of x, y and z in the given triangle are 8, 5.66 and 8.
What are triangles?Triangles are a type of a polygon having three sides and angles.
Given is a triangle, having some unknown variables, we need to find their values,
So,
According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.
Therefore,
y² = 5.66 × 5.66 ⇒ y = 5.66
x = z = 5.66√2 ≈ 8.00
Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.
Learn more about triangles, click;
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Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell one
step inequality word problems
Answer:
21
Step-by-step explanation:
volume of a sphere when radius is 50
Answer:
Step-by-step explanation:
Givens
r = 50
Formula
V = 4/3 pi r^3
Solution
V = 4/3 * 3.14 * 50^3
V = 4.19 * 50^3
V = 4.19 * 125000
V = 523750
Find all real zeros of the function Y = -5x-7. a. -5. C. 7 5 7 b. -5, -7 d. 5 Please select the best answer from the choices provided СА B o 0 D
The zeros of the function y = -5x - 7 is at x = -7/5
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given the equation:
y = -5x - 7
The zeros of the function is at y = 0, hence:
0 = -5x - 7
-5x = 7
Dividing through by -5 gives:
x = -7/5
The zeros of the function y = -5x - 7 is at x = -7/5
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What is the horizontal and vertical shift for the absolute value function below? f(x)=3|x+9|+6
Horizontal shift left 9 units and vertical shift up of 6 units
The difference of twice a number and 2 is at most 20. Use the variable w for the unknown number.
Answer:
2w - 2 ≤ 20
Step-by-step explanation:
2w - 2 ≤ 20
Answer:
'w' are all values less than or equal to 11
Step-by-step explanation:
2w - 2 ≤ 20
2w ≤ 22
w ≤ 11
HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION ?
Answer:
c
Step-by-step explanation:
The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.
Answer:
The length of rectangle is 23 cm.
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the length of rectangle :
[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]
A = Area l = length b = breadthSubstituting all the given values in the formula to find the length of rectangle :
[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]
Hence, the length of rectangle is 23 cm.
[tex]\begin{gathered}\end{gathered}[/tex]
LEARN MORE :
[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]
[tex]\rule{300}{2.5}[/tex]
Answer:
Area=322cm²Breadth=14cmLength=?We know that,
[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]
[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]
[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]
[tex] \implies \displaystyle{23=l}[/tex]
Thus,the value of length=23 cm.
Marcelo has 6 red marbles in his marble collection. The red marbles make up 12% of all the marbles. Please show your work and thank you. I think anytime brainly takes down your question you get extra points. weird
Answer:
the answer is 50
Step-by-step explanation:
12 6 600 600
--------- * --------- = ------ ------- = 600/12=50
600 x 600 12
Answer:
the answer is 9
Step-by-step explanation:
For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.
The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate
Understanding Basic proportionality theorem(Thale's Theorem)This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.
Thus, In ΔABC, DE || BC
By Thales theorem, we can say that;
AD/DB = AE/EC
Rearranging we can arrive at;
AE/AD = EC/DB
When we simplify further by adding 1 to both sides, we will get;
AD/AB = AE/AC
Thus, the given proportion is not accurate
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