Answer:
65.9
Step-by-step explanation:
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].
Know more about square roots here:
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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
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.
Can someone help me with 3 and 4
Answer:
x÷3+10 (if x=15)
15÷3+10
5+10
15
2(2.5x+8)=26
what does x=?
plz help
Answer:
x=2
Step-by-step explanation:
Hope this helps!
Answer:
simplifying x = 2
Step-by-step explanation:
reordering the terms then solving + 5x =26
add -16 to each side of the equation
16 = -16 + 5x = 26+ -16
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!
A rancher decreased the number of his
herd from 150 head to 120 head of cattle.
What was the percent of decrease in the
number of cattle?
Please hurry
Answer:
20%
Step-by-step explanation:
150-120 is 30
30 is 1/5 of 150
1/5 is .2, which is 20%
Hope that helps~
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:
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 need help on both these questions
Why are these triangles similar?
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
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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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]
Use the ALEKS graphing calculator to solve the system of equations.
y=-2x² - 4x-1
y = 3x+10
Round to the nearest hundredth.
If there is more than one solution, use the "or" button.
If applicable, click on "No solution".
(x, y) = (0
or
No
Solution
X
$
?
Answer:
This system has no solution in the set of real numbers.
Answer:
No solution
Step-by-step explanation:
The equations given are ;
y=-2x² - 4x-1
y = 3x+10
Using a graphing tool, the graphs of the equations are as shown in the attached.
From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.
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.
What is the answer to this?
Answer:
dfgv nm./
Step-by-step explanation:
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
2xsquared . 6 =
What does 2xsquared times 6 equal?
Answer:
24x
Step-by-step explanation:
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.
What is this please help
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
find 24% of 165.........................................
Answer:
39.6
Step-by-step explanation:
Answer:
39.6
Step-by-step explanation:
If you need an explanation i can edit the answer and give you one.
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:
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
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.
i put my age as 98 years old
Answer:
grandpa
Step-by-step explanation:
love u grandpa
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
Please help me 20 points
Answer:
sureeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
it's actually 10 points
what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=4^x[/tex]
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]
[tex]k=0[/tex]
In other words, the range is all positive real numbers.
Thus,
[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.