Answers
9514 1404 393
Answer:
4096∠0°
Step-by-step explanation:
The polar form of the base value is 2∠120°. Then the 12-th power is ...
(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish
_____
I prefer the simpler notation r∠θ, rather than ...
r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)
You might not see this notation very often in areas outside of electrical engineering.
Related Questions
What is the slope of the line that passes through the points (3, 4) and (0, -2)
Answers
Answer:
The slope is :
4-(-2)/0-3
4+2/-3
6/-3
-2
-2 is the slope
Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?
Answers
Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical
someone pls help I'm genuinely confused
I've literally been trying to figure out all three of these for like two hours now but I can't figure it out
Answers
Answer:
the area is 50
Step-by-step explanation:
Answer:
its 0.09637 but round it by urself . please like my answer and brainliest me hshsshhs
Five-digit locker combinations are assigned using the digits 1–9. In how many ways can the combinations be formed if no digit can be repeated
Answers
Answer:
15, 120
Step-by-step explanation:
9P4
.............................................................................................
what is the value of x ?
Answers
Answer:
Since we know that the sum of the two angles equal 180, we can add them together to equal 180 degrees.
2x+10+x+26=180
Combine like terms.
3x+36=180
Subtract 36 from both sides.
3x=144
Divide 3 from both sides.
x=48
Hope this helps :)
Step-by-step explanation:
I hope this helps
Part A
What are the possible outcomes of rolling a six-sided die?
Answers
Answer:
the possible outcomes are :
one (1)two (2)three (3)four (4)five (5)six (6)2a^2 + 7 + 5b^3
when a = 2 and b= 3
Answers
Answer:
150
Step-by-step explanation:
2(2^2)+7+5(3^3)
2(4)+7+5(27)
8 + 7 + 135= 150
Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2
Find the product of the following
1. (2x - 5)(2x + 5)
2. (5b - 6y)(5b + 6y)
3. (4k + 7)(4k - 7)
4. (y - 5)(y + 5)
5. (3x - 2)(3x + 2)
6. (13x + 2x^3)(13x - 2x^3)
7. (2a + 1)(2a - 1)
8. (9y^2 + 8)(9y^2 - 8)
Answers
Step-by-step explanation:
hey, hope this helps. :)
Answer:
The solution is 6-->4-->9-->7-->1
Step-by-step explanation:
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answers
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
2. The angles of a pentagon are 6x, (2x + 20°),(3x - 20%), 2x and 14x. Find x. Please answer please please
Answers
Answer:
x=20
Step-by-step explanation:
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
Answers
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
What's the distance between (4,-2) and (4,3)
Answers
Answer:
5 units
Step-by-step explanation:
(4, -2 ) ; [tex]x_{1}=4[/tex] and [tex]y_{1} = -2[/tex]
(4 , 3) ; [tex]x_{2} = 4[/tex] and [tex]y_{2}=3[/tex]
distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]
[tex]= \sqrt{(4-4)^{2}+(3-[-2])^{2}}\\\\= \sqrt{0+(3+2)^{2}} \\\\=\sqrt{5^{2}}\\\\= 5 units[/tex]
Can someone help me please!
Answers
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
Distributing the minus sign in the given expression results in ...
6x +1 -3x -(-1)
6x +1 -3 +1 . . . . simplify
The two expressions that show the constant terms as +1 - 1 are erroneous. The two constant terms are +1 -(-1) or +1 +1.
The correct expressions are the 2nd, 3rd, and 5th ones (b, c, e).
Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?
Answers
Answer:
156
Step-by-step explanation:
39 * 4 = 156
Calculus helpppppppppppppppp
Answers
Answer:
[tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Algebra II
Logarithms and Natural LogsLogarithmic Property [Multiplying]: [tex]\displaystyle log(ab) = log(a) + log(b)[/tex]Logarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Calculus
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Logarithmic Derivative: [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x\sqrt[3]{1 + x^2}[/tex]
Step 2: Rewrite
[Equality Property] ln both sides: [tex]\displaystyle lny = ln(x\sqrt[3]{1 + x^2})[/tex]Logarithmic Property [Multiplying]: [tex]\displaystyle lny = ln(x) + ln(\sqrt[3]{1 + x^2})[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle lny = ln(x) + ln \bigg[ (1 + x^2)^\bigg{\frac{1}{3}} \bigg][/tex]Logarithmic Property [Exponential]: [tex]\displaystyle lny = ln(x) + \frac{1}{3}ln(1 + x^2)[/tex]Step 3: Differentiate
ln Derivative [Implicit Differentiation]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx} \bigg[ ln(x) + \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{d}{dx} \bigg[ \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{1}{3}\frac{d}{dx}[ln(1 + x^2)][/tex]ln Derivative [Chain Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \frac{d}{dx}[(1 + x^2)][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \bigg( \frac{d}{dx}[1] + \frac{d}{dx}[x^2] \bigg)[/tex]Basic Power Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot (2x^{2 - 1})[/tex]Simplify: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot 2x[/tex]Multiply: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{2x}{3(1 + x^2)}[/tex][Multiplication Property of Equality] Isolate y': [tex]\displaystyle y' = y \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex]Substitute in y: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex][Brackets] Add: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{5x^2 + 3}{3x(1 + x^2)} \bigg][/tex]Multiply: [tex]\displaystyle y' = \frac{(5x^2 + 3)\sqrt[3]{1 + x^2}}{3(1 + x^2)}[/tex]Simplify [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e
200000*900000= what HELP PLEASE
I'll mark brainliest
Answers
Answer:
Step-by-step explanation:
1.8E11 is the correct answer
Answer:
200000*900000= 180000000000
Step-by-step explanation:
:))
what's a rational number between 13 and 21
Answers
Answer:
21
Step-by-step explanation:
7. Which equation can be used to find V, the
volume of the triangular prism in cubic feet?
6
17
10
Answers
Answer:
V = 1/3 x base x height
An apartment complex stretched a string of decorative floats diagonally across a
rectangular pool. The width of the pool is 15 ft and the length of the pool is 20 ft.
What is the length of the a diagonal that the floats are stretched across ?
Answers
Answer:
25 feet
Step-by-step explanation:
Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.
Solve for c, the hypotenuse/diagonal
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
625 = c²
25 = c
So, the length of the diagonal is 25 feet
3) Emma has a loyalty card good for a 10% discount at her local pharmacy.
What would her total in dollars and cents be, after the discount and
before tax, if the total cost of all the items she wants to buy is $32.40?
Answers
Answer:
The price of the items before the discount was $36.
Step-by-step explanation:
Since Emma has a loyalty card good for a 10% discount at her local pharmacy, to determine what her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $ 32.40, the following calculation must be made:
100 - 10 = 90
90 = 32.40
100 = X
100 x 32.40 / 90 = X
3240/90 = X
36 = X
Therefore, the price of the items before the discount was $ 36.
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answers
Answer:
80.07 in^2
Step-by-step explanation:
The equation is given: SA = 2πrh
h (height) = 8.5
r (radius is half the diameter) = 3 / 2 = 1.5
SA = 2π (1.5) (8.5) = 80.07
a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers
Answers
Answer:
I'm pretty sure this is the answer....
The speakers are $56.
Sorry if i'm wrong. :')
Step-by-step explanation:
Answer:
You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:
0.350 x $160 = $56.00.
So for this sale, you'll save $56.00 on this item.
This means, the cost of the item to you is
$160 - $56.00 = $104.00.
Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).
Now what's 65.000% of the total cost?
0.650 x $160 = $104.00.
Just like the result above, the sale price on the item is $104.00
I need help with this question
Answers
Answer:
14x+4 = 4x+44
14x - 4x = 44 - 4
10x = 40 ...... x = 4
《60°》.....
5y = 120
y = 120/5 => y = 24
Angle D=4x+44
14x+4=4x+44
14x-4x=44-4
10x=40
x=4
Angle B=14•4+4=60
Angle D=4•4+44=60
Angle C=180-60
Angle C=120
5y=120
y=24
Angle C=24
Angle A=24
PLEASEEE HELP PLS ASAPPP GIVING BRAINLIEST!!!!
Answers
Answer:
50 is the answer brainliest?
Step-by-step explanation:
Which graph represents an exponential function?
Answers
Which graph shows a dilation?
Answers
Answer:
Step-by-step explanation:
Sorry but im struggling with this too :(
A parent believes the average height for 13-year-old girls differs from that of 13-year-old boys. The difference in the height between girls and boys using a 95% confidence interval is estimated to be 0.26 to 0.41 inches. Based on the results, is there a significant difference between the true mean height of 13-year-old girls and boys
Answers
Answer:
There is 0.15 difference so yes
Step-by-step explanation:
14 in. = _____ ft
Plzzzzzzzz help
Answers
Answer:
1.2
Step-by-step explanation:
12 in= 1 foot
Answer:
1.16 feet
Step-by-step explanation:
12 inches in one foot so there are 14 inches in 1.16 feet.
The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02
Answers
Answer:
A. $0.89
Step-by-step explanation:
To find the constant of proportionality, find the cost of one pound of potatoes
3.56/4
= 0.89
So, the constant of proportionality is $0.89
The correct answer is A. $0.89
Jim got 46 out of 60 correct on a test. What is the best estimate of the percent Jim got correct ?
Answers
Answer-
77
Step-by-step explanation:
i rounded 76.67% (which was the exact percentage of 46 out of 60)
2- 77%
Answer:
About 76.5% (77%)
Step-by-step explanation:
well start with the simple fractions. 40/60 is 2/3 which is 66.66666 repeating.
If we know it increased at least 5 more that is 45/60 which is 3/4, since 15 * 4 = 60, so 15 * 3 = 45.
We could say without getting too specific that every point will have about a 1.5 or more % increase since if it was out of 100 points every 1 question is +1 % and 50 points every question is +2 %. Since this is 60 it will be roughly about 1.6%
Ok the point is, about 76.5% (77%)
cAlCulAtOrS ExiSt SkOoL Hw