Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
The value of ab³ in simplified form is; -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
From the given values in the question we have;
a = -2 + 2i
b = -5i
Thus
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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equivalent answers for 64 to the power of 2/3
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon
Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
what are ratios that are equivalent to 16:12
Answer:
20:15, 24:18, 28:21, etc.
Step-by-step explanation:
Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.
Answer:
4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.
Step-by-step explanation:
The denominators are all multiples of 3 and the numerators are multiples of 4.
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?
Step-by-step explanation:
6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie
✨✨Hope it helps✨✨
✨Brainliest?✨
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped
A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft
Answer:
IM JUNNA HAFT TO SAY IS 60
Step-by-step explanation:
round 0.927 to the nearest hundreth
through: (1, 2), slope = 2
Answer:
y=2x+2
Step-by-step explanation:
Answer: y = 2x
Step-by-step explanation:
y=mx+b
m is the slope. so if the slope is 2 we can fill in 2 for m.
y = 2x + b
now we are going to plug in the point they gave us (1, 2) to find b.
1 is the x coordinate of the point and 2 is the y coordinate. so we put 1 in for x and 2 in for y.
2 = 2(1) + b
2 = 2 + b
b = 0
so our equation is y = 2x + 0, or y = 2x
i need help!!! will mark brainlist
Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.
For every quart she picks, she adds $ _____
to her total earnings for the day.
How much does Alyssa earn if she picks 0 quarts of strawberries?
$ ____
Answer:
1. She gets $3 per quart she picks.
2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
2p + 3w = 7.25 whats p
What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers
Answer:
C. All real numbers
Step-by-step explanation:
Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
Answer:
equation: 10 + 0.05x=22
Step-by-step explanation:
the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.
9514 1404 393
Answer:
equation: 10 +0.05m = 22
solution: Bob used 240 minutes in July
Step-by-step explanation:
Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...
10 + 0.05m = 22 . . . . . total of charges for July is $22
__
The equation is solved by subtracting the constant and dividing by the coefficient of m.
0.05m = 12 . . . . . subtract 10
m = 12/0.05 = 240
Bob used 240 minutes in July.
Can someone help me ??
Answer:
(-5,2)
Step-by-step explanation:
i think the picture isn't that good
Answer:
I believe it is [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Hope this helps!
Can anybody help(>v<)
Answer:
-7/10, -0.2, 1/2, 0.7
Step-by-step explanation:
Plzz have brainiest
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 6750 watt-hours?
Answer:
I LOST ALL MY POINTS NOOOOOO
Can someone help me with this
Answer:
x=125°
Step-by-step explanation:
180-(25+30)= 125°
hope it helps!
I need help ASAP with questions 3-7 plz show steps I will also mark brainliest
Answer:
.
Step-by-step explanation:
.
if x Multiplied by 7 = 21, what is x
Step-by-step explanation:
Given that x is multiplied by 7 = 21 Then
7 * x = 21
or x = 21/ 7
Therefore x = 3.
Answer:
Solution,
here,
x+7=21
x=21-7
Therefore,x=14
Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answer:
B) A and C
Step-by-step explanation:
A and C are negative reciprocals of each other.
I beg you to help me .
Answer:
16+3=y
y=19
Step-by-step explanation:
What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?
Answer:
y=-4/3x-3
Step-by-step explanation:
The equation of the line that passes through the given point will be equal to (-4/3)x - 3.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
The given equation is,
4x + 3y = 15
And the point is (-3, 1)
3y = 15 - 4x
y = (-4/3)x + 15
The line has a slope, of -4/3.
Then, use the equation,
B = y - mx
B = 1 - (-4/3 × 3)
B = -3
So,
y = (-4/3)x - 3
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Please HELP
Which statement is true ??
Answer:
the answer is d(<a=<b)
Step-by-step explanation:
because alternate interior angles are equal
A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.
Answer:
We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:
0.55 * 61 = 33.55
So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice
33.55 * 2 = $67.10
He has more budget than the needed for the travel
Answer:
Mr. Jackson will be under his budget.
Step-by-step explanation:
We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.
61 x 0.55 = $35.55
Since $35.55 is less than $70, he will be under his budget.
Hope this helps! :D
13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
On a coordinate plane, how are the locations of the points (1 , -7) and (1 , 7) related?
A.
reflection across the y-axis
B.
reflection across both axes
C.
locations unrelated
D.
reflection across the x-axis
HELP PLS
BRAINLIST
Answer:
D. Reflection across x-axis
Step-by-step explanation:
When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis
Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.