9514 1404 393
Answer:
2∠15°2cos(15°) +i·2sin(15°) ≈ 1.93185 +0.517638iStep-by-step explanation:
Using Euler's formula, the 6th root is easily found.
(64i)^(1/6) = ((2^6)e^(iπ/2))^(1/6) = 2e^(iπ/12) = 2∠15°
= 2(cos(15°) +i·sin(15°)) = 2·cos(15°) +i·2·sin(15°) ≈ 1.93185 +0.517638i
If correct I’ll give brainlist
Hi there!
[tex]\large\boxed{-18a^{3}c^{3}}[/tex]
To solve, keep in mind the following property:
xᵃ · xᵇ = xᵃ⁺ᵇ
We are given:
-3a⁷ (6)c⁷a⁻⁴c⁻⁴
Combine like exponent bases using the property above:
-3(6)a⁷⁻⁴c⁷⁻⁴
Simplify:
-18a³c³
$200 at 9% compounded semiannually for 2 years
Answer:
Your answer is on the picture
Step-by-step explanation:
Sodas cost $1.50 and a cup of coffee costs $1.25 at a football game. Sally
bought 8 drinks total for all of her friends and her total cost was $11.50. How
many of each drink did she buy?
Answer:
the answer 4
Step-by-step explanation:
4 of each because (1.25x4) + (1.50x4) = 11.50
Answer:
Sally bought 6 sodas and 2 cups of coffee.
Step-by-step explanation:
Variable x = number of sodas
Variable y = number of coffees
$1.50x + $1.25y = $11.50
x + y = 8 drinks
$1.50(6) + $1.25(2) = $11.50
$9.00 + $2.50 = $11.50
I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.
For example:
$1.50(5) + $1.25(3) = $11.50
$7.50 + $3.75 = $11.50
$11.25 = $11.50
This is not correct as they do not equal so this cannot be the answer.
Help me help me please I have to finish this by Tommrow
A.
i did this test already trust me
Answer:
I am not sure check it
but the answer is A
PLEASE ANSWER QUICKLY, I WILL LOVE YOU FOREVER. AND GIVE YOU THE BRAINLY THINGY
The scatter plot shows the average movie ticket prices since 1995.
write an equation in slope intercept form for the line that is drawn
use your equation to make a conjecture about the average cost of a movie ticket in 2020
Answer:
The average movie ticket prices in 2020 was $ 10.25.
Step-by-step explanation:
If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:
m= y2 - y1/ x2 - x1
m= (6 - 4) / (8 - 0)
m= 1 / 4
The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.
Therefore,
Y = mx + b
Y = 1/4 x + b
It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.
The year 2020 is 25 years after 1995, then
Y= 1/4 (25) + 4
Y = $ 10.25
The average movie ticket price was $10.25 in 2020.
A regular hexagonal prism has an edge length 11 cm, and height 8 cm. Identify the volume of the prism to the nearest tenth.
Answer:
it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!
Step-by-step explanation:
Answer: V ≈ 2514.9 cm3
Step-by-step explanation:
To find the volume of the prism, first calculate the area of the base.
To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.
The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.
By the definition of tangent, tan 60°=?/5.5.
Solve for ?.
?=5.5 ⋅ tan 60°
Therefore, the apothem length equals 5.5 ⋅ tan 60°.
The area of a hexagonal base.
B=6⋅(12⋅11⋅?)
Substitute 5.5⋅tan60° for ?.
B=6⋅(12⋅11⋅5.5 ⋅ tan60°)
Simplify.
B=181.5 ⋅ tan60° cm2
The volume of a prism.
V=Bh
Substitute 181.5 ⋅ tan60° for B and 8 for h.
V=(181.5 ⋅ tan60°)⋅8
Multiply 181.5 by 8.
V=1452 ⋅ tan60°
Use a calculator to approximate.
V≈2514.9 cm3
Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.
Point AAA is at {(-7,5)}(−7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,−1)left parenthesis, 5, comma, minus, 1, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ABABA, B is 555 times as long as BCBCB, C.
Answer:
(3,0)
Step-by-step explanation:
KHAN
What is the average of 87 and 62
Answer:
74.5
Step-by-step explanation:
Answer: The answer is 74.5
Step-by-step explanation:
Hope this helped! :)
please help me answer this i really need help !!
Answer:
A= 314.16m^{2}
Step-by-step explanation:
if its a half a circle then we use the formula to find area of a circle and get half of it.
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi 10^{2}[/tex]
[tex]A= 314.16m^{2}[/tex]
Find the total surface area of the
following square pyramid:
6 cm
8 cm
SA = [?] cm2
Answer:
Step-by-step explanation:
Find the total surface area of the
following square pyramid:
6 cm
8 cm
SA = [?] cm2
Answer:
Step-by-step explanation:
Answer:
160
A triangular prism has a base perimeter of 32 cm and a height of 15 cm what is the lateral surface area of the prism
A. 240 cm2
B. 432 cm2
C. 160 cm2
D. 480 cm2
Answer: c
Step-by-step explanation
find the minimum value of the parabola
Answer:
Excuse Me, I believe you forgot to put your question. So I highly recommend to repost your question to get the desired answer(s).
Hace a great day!
Yours Truely, TheAnimeCatUwU
A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
Answer:
Solution :-We know that
V = πr²h
400 = 22/7 × r² × 8
400 × 7 = 22 × 7r²
2800 = 154r²
2800/154 = r²
18 ≈ r²
4.2 = r
An amphitheater has 24 seats in the first row, 28 in the second, 32 in the third, and so on, for 28 rows. How many seats are in the amphitheater?
Answer: 2,184 seats
Step-by-step explanation:
Row Number of seats
1 24
2 28
3 32
4 36
5 40
6 44
7 48
8 52
9 56
10 60
11 64
12 68
13 72
14 76
15 80
16 84
17 88
18 92
19 96
20 100
21 104
22 108
23 112
24 116
25 120
26 124
27 128
28 132
Total 2,184 seats
A man bought an article for Rs 225 and sold it at a gain of 15%. how much was his profit?
Answer:
225 x 0.15 = 33.75 profit
Step-by-step explanation:
Answer:
Profit: Rs 33.75
Step-by-step explanation:
His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance. Natasha uses the $25 off the repair cost coupon first. She then uses the %20% off the repair cost coupon on the remaining balance.
Answer:Michelle
And 50
Step-by-step explanation:
What is a simpler form of (x-6)(4x+3)?
Answer:
4x^2-21x-18
Step-by-step explanation:
The area is 176 square units I need help
Answer:
Your answer would be 11.
Step-by-step explanation:
This is because area = length x width.
16 x 11 = 176 :) Hopefully this helps!
Answer:
x = 11 units.
Step-by-step explanation:
Area = x * 16 = 176
x = 176/16
= 11.
I need help on this math problem
Answer:
B, C, D
Step-by-step explanation:
7x + 1 + 105 = 180
7x = 74
x = 74/7
4y + 14 + 7y + 1 = 180
11y = 165
y = 15
m<A = 4y + 14 = 4(15) + 14 = 74°
m<B = 7x + 1 = 7(74/7) + 1 = 75°
m<C = 7y + 1 = 7(15) + 1 = 106°
Answer: B, C, D
helppppppppppppppppppp
Answer: No
Step-by-step explanation:
The problem says x is bigger than 5, and smaller than or equal to 9.
Possible values of x can only be 6,7,8, and 9.
So, 12 cannot be the answer.
Olga tried to solve an equation step by step.
\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned}
4
1
(
3
1
k+9)
3
1
k+9
3
1
k
k
=6
=24
=15
=5
Step 1
Step 2
Step 3
Find Olga's mistake.
Well formatted version of question :
Olga tried to solve an equation step by step
1/4(1/3k+9)=6
step 1- 1/3k+9=24
step 2- 1/3k=15
step 3- k=5
find olgas mistake
step 1
step 2
step 3
olga did not make a mistake
Answer:
Step 3
Step-by-step explanation:
Given the equation :
1/4(1/3k+9)=6
Step 1 : Olga multiplied both sides by 4
1/4(1/3k + 9) * 4 = 6* 4
1/3k + 9 = 24
Step 2 : Olga subtracted 9 from sides
1/3k + 9 - 9 = 24 - 9
1/3k = 15
Step 3 : Both sides should be multiplied by 3
1/3k * 3 = 15 * 3
k = 45
This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45
HeLp! the question is on the picture.
Answer:
tan ∅ = 16/12
Step-by-step explanation:
Once again here are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We are asked to find tan ∅
Looking at the trigonometric ratios we see that tan = opposite over adjacent
So we find the side length opposite of the indicated angle (∅) which would be 16 then we find the angle adjacent angle ( the side that is not the hypotenuse nor the opposite ) so the adjacent of angle ∅ is 12
so tan ∅ = opposite (16) over adjacent (12)
tan ∅ = 16/12
Expand 5(2x - 1) please helpp
Answer:
10x - 5 is the answer !!!!
Answer:
=10x-5
Step-by-step explanation:
in in such an algebra effects of in the brackets which is 5×2x and 5x1 you'll end up getting 10x-5
Problem If 5 wholes are divided into pieces that are each 1/4 of a whole, how many pieces are there?
NO LINKS PLEASE help
Answer:
Midpoint for A is (1,5) and for B it is (2.5,4.5)
Step-by-step explanation:
To get the midpoint you add the x coordinates and divide by 2 and then the y coordinates and divide by 2.
X = (3 + -1)/2 y = (8+ 2)/2
=2/2 = 1 10/2=5
Which of the following statements represents a correct relationship?
a.) 345 > 354
b.) 400 < 40
c.) 4,008 < 4,080
d.) 23,090 = 23,009
Answer:
I think C
so it's kind of a process of elimination you have to see the order of the numbers and what order each number is in so for A you can see that it's 345 is greater than 354 which is inspect cuz 354 is greater than 345 for B that's an obvious answer is is 400 is less than 40 which is obviously wrong because 400 is greater has two zeros and 40 only has one 0 for C it has 4008 is less than 4080which is actually correct if you look at the way that the numbers are written you could see that 80 is greater than 8 D it's obviously not correct because it says 20090 is equal to 23009 which is incorrect because 90 is greater than 9
What is the slope of the line that passes through the points (-6,8) and (-16,33)
Answer:
-5/2 or -2.5
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(33 - 8) / (-16 + 6)
25 / -10
= -5/2
So, the slope is -5/2 or -2.5
Answer:
Solution :-We know that
Slope
[tex] \bf \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
Where
y2 = 33
y1 = 8
x2 = -16
x1 = -6
33 - 8/-16 - 8
25/-24
The radius of a circle is 7 cm. Find its area in terms of Pi
Answer:
49(pi)
Step-by-step explanation:
Area of a circle = (pi)r squared
= 7 squared (pi)
= 49(pi)
= 49 x pi
Answer:
49(pi)
Step-by-step explanation:
Choose the correct answer below.
PLease Help asap !!!!!!!! plus brianliest
Answer:
100.000 liters of water would b your answer.
Step-by-step explanation:
if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000