PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?
Answer:
B
Step-by-step explanation:
Got it right on the test
(B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex]
Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:De Moivre's theorem: [tex]z=r*[cos([/tex]θ[tex])+i*sin([/tex]θ[tex])}[/tex][tex]][/tex]
Raising both sides to the [tex]n^{th}[/tex] - [tex]z^{n} =r^{n} *[cos(n*[/tex]θ[tex])+i*sin(n*[/tex]θ[tex])][/tex]
The square root operation undoes the squaring operation, so we'll be dealing with [tex]n=2[/tex].
If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.
[tex]z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )][/tex]
Therefore, the correct answer to the question is (B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex].
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What is this please help
Does this table of values represent a linear relationship? Explain your answer.
Answer:
Yes
Step-by-step explanation:
Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.
To be a linear line you have to have a constant rate of change.
Jake had 42 frogs and gave the same number of frogs to each of his & cousins. If each cousin receives 14 frogs, did Jake have 2, 3, or 6 cousins?
pleas answer 100% honestly
Answer: 3 cousins
Step-by-step explanation:
Each of his cousins gets the same number of frogs, which is 14. To find the number of cousins Jake has, you need to divide 42 by 14, which is 3. Thus, Jake has 3 cousins.
i put my age as 98 years old
Answer:
grandpa
Step-by-step explanation:
love u grandpa
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
I need help on both these questions
What is the answer to this?
Answer:
dfgv nm./
Step-by-step explanation:
Why are these triangles similar?
the distance between -3.17 and 0 on a number line is 3.17 units?
Answer:
Yes
Step-by-step explanation:
The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.
Find the value of 8C0
Answer:
[tex]^8C_0=1[/tex]
Step-by-step explanation:
In this problem, we need to find the value of [tex]^8C_0[/tex].
The formula for the combination is given by :
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
We have,
n = 8 and r = 0
[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]
So, the value of [tex]^8C_0[/tex] is 1.
Determined to find the slope
(1 7K), and (-3,5K)
Answer: [tex]\dfrac{K}{2}[/tex] .
Step-by-step explanation:
As we know ,
The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of a line that passes through (1 , 7K), and (-3,5K) =
[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]
Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .
The inequality x ≥ -3 is satisfied by point (0, -2). True False
please explain!!
Answer:
true
Step-by-step explanation:
x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3
The solution area is then shaded either to the left of that line or to the right
Look at the point (0, -2); the x-coordinate is zero, which is greater than -3
Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3
What is the sum of 2x-5y+x+y
Answer:
3x - 4y
Step-by-step explanation:
2x + -5y + x + y
Group Like terms:
2x + x + -5y + y
2x + x = 3x
-5y + y = -4y
3x - 4y
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500
The net change for a certain stock is the dollar value change in the
stock's closing price from the previous day's closing price. The net changes of three
stocks were -3, 1, and -2. Which net change has the greatest absolute value?
Answer:
-3
Step-by-step explanation:
Just put that trust me
HELP PLEASE!!
What is Y
the parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve
Answer:
a) We kindly invite you to read the explanation and check the image attached below for further details.
b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].
Step-by-step explanation:
a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.
b) The rectangular equation for the curve is:
[tex]t = x^{2}[/tex] (1)
[tex]y = 3\cdot t - 4[/tex] (2)
By applying (1) in (2), we get the following equation in rectangular form:
[tex]y = 3\cdot x^{2}-4[/tex]
Can someone help me with 3 and 4
Answer:
x÷3+10 (if x=15)
15÷3+10
5+10
15
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answer:
3(4x+8) or 4(3x+6) or 12(x+2)
Step-by-step explanation:
Answer:
3(4x+8) or 4(3x+6) or 12(x+2)
Step-by-step explanation:
What is the quotient of 1414 divided by 32 and written in a mixed fraction
Answer:
44 3/16
Step-by-step explanation:
1414 ÷ 32 = 44.1875
[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.
Hope this helps!
If you need work let me know!
Please help me 20 points
Answer:
sureeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
it's actually 10 points
what is 5 divided by 5
Answer:
1
Step-by-step explanation:
You have 5 jelly beans and 4 imaginary friends
You have to split the jellybeans between yourself and your pretend friends.
Each of you gets 1 jellybean
(Except you get all the jellybeans because your friends don't exist)
Hope this helps :)
Please I need this ASAP
Answer:
Step-by-step explanation:
Where is Ac leath
Answer:
26 cm
Step-by-step explanation:
just use Pythagoras theorem
c2 = a2 + b2
c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
c2 = 100 + 576
c2 = 676
shift the square to the other side and it becomes a square root
c = [tex]\sqrt{676}[/tex]
c = 26
AC = 26 cm.
What is the equation for the line in slope-intercept form?
Enter your answer in the box. _____
4
Step-by-step explanation:
so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.
If nine inches represent twelve feet, how many inches
represent 48 feet?
Answer:
36 inches
Step-by-step explanation:
4 * 12 = 48
So multiply 9 by 4 also and you get 36.
List the subsets of the set { dog,cat,rabbit}
Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think
Step-by-step explanation:
The possible Subset is
Sub sets : {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.
What is a subset ?If each constituent of a set A is a member of a different set B, then the sets A and B are subsets of one another.
To put it another way, A⊂B A and B stand for the subset connection.
Set A is referred to as a subset of Set B if all of the elements in Set A are also found in Set B. In other words, Set A is a part of Set B. A is the subset of B, for instance, if set A contains the elements X, Y, and set B contains the elements X, Y, and Z.
We have set,
Set : {dog, cat, fish}
Then, the subset contain the elements of set A as
Sub sets : {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.
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If f(x) is differentiable for the closed interval [−4, 0] such that f(−4) = 5 and f(0) = 9, then there exists a value c, −4 < c < 0 such that
f(c) = 0
f '(c) = 0
f (c) = 1
f '(c) = 1
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
3.78÷15=? Show the work please.
Answer:
how would you show work?
the answer is 0.252
Step-by-step explanation:
Answer:
0.252
__________________________________________________________
We have to evaluate the expression:
3.78/15
Evaluation:
We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out
So, multiplying numerator and the denominator by 100
[tex]\frac{3.78 * 100}{15 * 100}[/tex]
[tex]\frac{378}{15 * 100}[/tex]
Since 15*25 is 375, we will rewrite the numerator as:
[tex]\frac{375 + 3}{15 * 100}[/tex]
Now, we can split it into 2 separate fractions:
[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]
This new equation is the same as the one before as it can easily be changed to that
Since 15*25 is 375 and 3*5 is 15:
[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]
Since 25*4 is 100:
[tex]\frac{1}{4}+\frac{1}{500}[/tex]
0.25 + 0.002
0.252
Hence, 3.78/15 is 0.252