Answer:
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Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i
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Work Shown:
x = (4+6i)^2
x = (4+6i)(4+6i)
x = y(4+6i) ...... let y = 4+6i
x = 4(y)+6i(y) ..... distribute
x = 4(4+6i)+6i(4+6i) .... plug in y = 4+6i
x = 16+24i+24i+36i^2 ..... distribute again
x = 16+24i+24i+36(-1) .... use the fact that i^2 = -1
x = 16+24i+24i-36
x = 16-36+24i+24i
x = -20+48i
Answer:
A -20+28i
Step-by-step explanation:
Estimate:
92% of 104
Answer:
95.68
Step-by-step explanation:
what is the solution to this addition problem? 1/5 + 1/6
Answer:
11/30 or 0.36
Step-by-step explanation:
Answer:
11/30
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/5, 1/6) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(1/5×6/6)+(1/6×5/5)=?
Complete the multiplication and the equation becomes
630+530=?
The two fractions now have like denominators so you can add the numerators.
6+5/30=11/30
The fraction cannot be simplified, final answer 11/30
Write an equation in slope intercept form for a line with a slope of 4 and a y-intercept of (0,-3)
Answer:
y = 4x - 3
General Formulas and Concepts:
Algebra
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 4
y-intercept b = -3
Step 2: Write linear function
y = 4x - 3
10z^2 -2z-2
10z
2
−2z−2
Two solutions were found :
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
ane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following:
The amount of the finance charge?
The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.
Step-by-step explanation:
Jane Windsor acquired a ski boat for $ 5,900, paying a down payment of 10% and financing the remainder of the price at an annual interest rate of 12%.
Thus, since 5,900 x 0.1 is equal to 590, the financed amount arises from the subtraction between 5,900 minus 590, which yields a financed amount of $ 5,310.
Therefore, the amount to be paid monthly arises from the following calculation:
5,310 x 1.12 = Amount with interest
5,947.2 = Amount with interest
5,947.2 - 5,310 = Interest
637.2 = Interest
5,947.2 / 12 = Monthly payments
495.6 = Monthly payments
Therefore, Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.
nicky bought 3 bags of flamin hot cheetos for a certain amount of money and a can soda for $1.50. all together he paid $5.25. How much did each bag of hot cheetos cost?
Answer:
each bag of hot cheetos cost $1.25
Tonya wraps 2 presents in 3 minutes. At this rate, how many presents with Tonya wrap in 15 minutes?
Answer:
10! because 3 to get 15 is 5 and 2×5 is 10
Answer:
10 presents
Step-by-step explanation:
3 x 5 = 15, and 2 x 5 =10
Factor the following expression: -9y - 3
Answer:
-3(3y+1)
Step-by-step explanation:
sorry if wrong
If m∠A = 76° and m∠B = 50°, Find m∠ACD.
Answer:
54
Step-by-step explanation:
the sum of all angles of a triangle must equal 180.
180 - 76 - 50 = 54
Answer:
54
the sum of all angles of a triangle must equal 180.
180 - 76 - 50 = 54
What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = 4x + 5
O Subtract 5 from both sides.
O Add 5 to both sides.
X Subtract 9x from both sides.
O Add 4x to both sides.
Done
Intro
Answer: Add 4x to both sides.
Step-by-step explanation:
A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The quotient of 5÷6/8 is greater than, less than, or equal to the quotient of 4÷3/8
Answer:
5/ 6/8 < 4/ 3/8, is less than
Step-by-step explanation:
6/8=.75
5/.75=6.6
3/8=.38
4/.38=10.5
The sum of twelve and four times a number is 36. What is the number?
Answer:
8
Step-by-step explanation:
12 +4x = 36
Then solve the linear eqn
A store purchased a coat for $20 and sold it for $35. Is this an increase or decrease? What was the percent change?
Answer:
an increase of 75%
Step-by-step explanation:
Answer:
A store purchased a coat for $20 and sold it for $35. Is this an increase or decrease? What was the percent change an increase 75%
The problem has been started for you.
9 StartLongDivisionSymbol 780 EndLongDivisionSymbol minus 72 = 60. 60 minus 54 = a remainder of 6 and a quotient of 86.blank.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answer:
its to find the quotient, start by dividing 25 into 1658
Step-by-step explanation:
for the following question its 66.32 and 66 8/25 (hope this helps bud)
Answer:
C. 86.^6
Step-by-step explanation: That the answer or whateva
A set of tyres normally costs £500
In a sale there is a 30% discount.
Work out the sale price of the set of tyres.
Answer:
the tires cost 350 with the discount
Step-by-step explanation:
David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double number line shows that David will trade 3 more cards to Jillian for 6 wool cards. Based on the ratio shown in the double number line, how many wool cards does Jillian need to trade for 4 more cards?
Amy has 5 yd of border to put around a garden. She uses all the border to make four sections that are the same length. Which expression does NOT equal the length of one of these sections in yards
Answer:
4÷5 is the answer
Step-by-step explanation:
hope its helps
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 50 cm, find its area.
Answer:
width=25/3
Length=75/3
Step-by-step explanation:
Given
Perimeter=50
Let width=x
Length=4x
So perimeter =2(length+width)
2(length+width)=50
2(X+2x)=50
3x=25
X=25/3
So width=25/3
Length=75/3
PLEASE HELP
Which equation represents a function that is nonlinear?
y = 5x
y = 37
y = x*2 - 25
y = 2/3x + 67
On opening night of the play "The Music Man" at the Lewiston Civic Theater, 946 tickets were sold. The total receipts for the performance was $10,588. Children tickets cost $10 apiece, adult tickets cost $14 aplece, and senior citizen tickets
cost $6 apiece. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 334, determine how many tickets of each typo were sold.
There were children tickets, adult tickets, and senior citizen tickets sold.
Answer:
The number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
Step-by-step explanation:
let
x = children ticket = $10 per piece
y = adult ticket = $14 per piece
z = senior citizen = $6 per piece
x + y + z = 946 ( total tickets sold ) ---------- ( 1 )
Total receipt for performance
10x + 14y + 6z = $10588 --------------- ( 2 )
since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334
x + y - 2z = 334 --------- ( 3 )
substract equation 3 from equation 1
3z = ( 946 - 334 ) = 612 therefore Z = 204
next we multiply equation (1) by 14
14x + 14y + 14z = 13244 ---------- ( 4 )
substract equation (2) from ( 4 )
4x + 8z = 2656
= 4x + 8(204) = 2656
= 4x = 2656 - 1632
therefore : x = 256
back to equation 1
256 + y + 204 = 946
y = 946 - ( 256 + 204 ) = 486
Hence the number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
simplify (1.2a-0.1b)^2-2ab
Answer:
2.3 I think okay wrong or right
30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
Group of answer choices
True
False
Answer:
A
False
Step-by-step explanation:
Answer:
1) increase
explanation: In most plants, the uptake of CO2 through photosynthesis is reduced by a side reaction called photorespiration. The research group has now found that the CO2 increase in the atmosphere over the 20th century has shifted the balance between photosynthesis and photorespiration toward photosynthesis.
2) think its false
There is an error in the diagram. Choose the statement that best describes what is wrong.
A. The exterior angle of a triangle cannot be obtuse.
B. The exterior angle of a triangle must be greater than each remote interior angle.
C. The exterior angle of a triangle must be greater than all of the interior angles of the triangle.
D. The exterior angle of a triangle must be equal to a remote interior angle of the triangle.
Answer:
the first one is right and other are wrong
what is 2 2/3 4/5 and why?
Answer:
52 / 15 =3 7/15 ≈3.467
Step by step
2 2/3+4/5 =52/15 then you simplify 52/15 = 3 7/15
(5)Mean of given data 2,3,4 will be
Answer:
3
Step-by-step explanation:
Add the numbers and then divide by 3 (the number of numbers there are)
Emilio’s paycheck was $305.25, and he makes $9.25 per hour. How many hours did Emilio work?
0.33 hours
3.3 hours
33 hours
330 hours
Answer:
$305.25 divided by $9.25 equals 33, so he worked 33 hours... hope this helped.
Step-by-step explanation:
Answer:
33 is the answer
Step-by-step explanation:
1,418 divided into 22
Answer:
here's your answer 64.45
Step-by-step explanation:
a. Definite integral can be used to calculate percentage rate of change of the function
b. Lorenz curves are special curves used to capture demand elasticity
c. Integration by parts formula is the fundamental formula used to conduct marginal analysis
d. Definite integral can be used to calculate area under a curve in a given interval
Answer:
d. Definite integral can be used to calculate area under a curve in a given interval
General Formulas and Concepts:
Calculus
Integration
IntegralsArea of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
We know that by definition, an integral is an antiderivative.
Also by definition, an integral is also the area under the curve. This can be extended to area between 2 curves.
We have a formula specifically to find an area under a curve (region), as listed above.
∴ our answer is D.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration