In the first step apply the distributive property or FOIL to find zw. Option C is correct.
Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.
The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number
z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w = ( 19 + i )( 4 + 10i )
Step ⇒ 1
Applying distributive law,
z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i
Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.
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Answer:
C
Step-by-step explanation:
Apply the distributive property of FOIL
how to solve for these
9514 1404 393
Answer:
1. f = 9/a +7
2. x = (y -5)/3
3. x = 3/(y +2)
4. l = (P +9)/4
Step-by-step explanation:
I find it convenient to use the fact that a=b/c can be rewritten as c=b/a:
[tex]a=\dfrac{b}{c}\qquad\text{given}\\\\ac=b\qquad\text{multiply by $c$}\\\\c=\dfrac{b}{a}\qquad\text{divide by $a$, effectively swapping $a$ and $c$}[/tex]
__
1. f - 7 = 9/a . . . . use the above shortcut
f = 9/a +7 . . . . add 7
__
2. y -5 = 3x . . . . . subtract 5
x = (y -5)/3 . . . . divide by 3
__
3. y +2 = 3/x . . . . add 2
x = 3/(y +2) . . . . use the above shortcut
__
4. P +9 = 4l . . . . add 9
l = (P +9)/4 . . . divide by 4
Can you please help me with this
Answer:
log9
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
logx - logy = log([tex]\frac{x}{y}[/tex])
log[tex]x^{n}[/tex] ⇔ nlogx
Given
2(log18- log3) + [tex]\frac{1}{2}[/tex]log[tex]\frac{1}{16}[/tex]
= 2(log([tex]\frac{18}{3}[/tex] ) ) + log[tex](\frac{1}{16}) ^{\frac{1}{2} }[/tex]
= 2log6 + log[tex]\frac{1}{4}[/tex]
= log6² + log[tex]\frac{1}{4}[/tex]
= log36 + log[tex]\frac{1}{4}[/tex]
= log( 36 × [tex]\frac{1}{4}[/tex] )
= log9
1, 2 after a reflection y = 0 followed by a reflection y = 2
Answer: ahhhhhummm I think it’s 5
Step-by-step explanation:
Answer:
(1,6)
Step-by-step explanation:
First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)
An item cost $450 before tax and the sales tax is $13.50. Find the sales tax rate. Write your answer as a percentage.
Answer:
3%
Step-by-step explanation:
If an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that An item cost $450 before tax
The sales tax of the item is $13.50
We have to find the sales tax rate in percentage
To find the percentage we have to multiply x/100 with four hundred fifty which is equal to thirteen point five
x/100×450=13.5
4.5x=13.5
Divide both sides by 4.5
x=13.5/4.5
x=3%
Hence, if an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
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how do you find a proportional relationship in a table?
AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:
Step-by-step explanation:
Answer:
You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.
Step-by-step explanation:
No cappin need help thx
Answer:
20 %
Step-by-step explanation:
Percentage = [tex]\frac{2}{10}*100[/tex]
= 2 * 10
= 20%
Hello! Can anyone please help me? The topic is angles.
Answer:
29/4 or 7.25
Step-by-step explanation:
Complimentary angles are two angles that add up to 90
Supplementary angles are two angles that add up to 180
Angle ABC = x
Angle CBD = 7y + 4
Angle DBE = 8y + x
If we can find the measure of angle CBD, then we can find x.
We know that CBD + DBE = 180 because they are supplementary. Therefore...
(7y + 4) + (8y + x) = 180
AND
(7y + 4) + (x) = 90
Now we can use algebra to solve for x and y...
Blah blah blah...
x = 29/4
y = 45/4
A teacher is making multiple copies of a 1−page homework assignment. The time it takes her in seconds based on the number of copies she makes is 5 times the number of copies plus 6. How many total seconds does it take the teacher to make 1 copy? How about 2 copies or 3 copies? By how many seconds does the total time increase for each copy?
Answer: I'm on it give me just a minute!!
A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.
Answer:
and what are the numbers there bud
Answer:
Please show the table I cannot help with no info!
Step-by-step explanation:
Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answer:
7.45
Step-by-step explanation:
If a rectangular prism has a length width and height of 38 cm 58 cm in 78 cm respectively in the volume of the prism is blank cubic centimeterk
Answer:
7 but not sure
Step-by-step explanation:
Nicole filled her tank for $38.50 for 21.5 gallons. How much did Nicole spend per gallon? (Write your answer with 2 decimal places)
Answer:
$1.79 per gallon, I believe.
Step-by-step explanation:
3/4+2/6 please answer this problem
Answer:
1 1/12
Step-by-step explanation:
find common denominator:
3/4=9/12
2/6=4/12
add:
9/12+4/12=13/12
simply:
13/12=1 1/12
hopefully this helps :)
Work out the multiplier as a decimal number for an increase of 5% followed by an increase of 3%
Answer:
8% multiped by what ever the decimal is
Step-by-step explanation:
5% + 3% = 8%
there are 3 alligators, 16 turtles, and 12 snakes in the reptile exhibit at the zoo. what is the ratio
Answer: 3:31= alligators to total animals. 16:31= turtles total animals. 12:31= snakes to total animals.
Step-by-step explanation:
3+16+12=31 the total
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:
u said 30 points
Step-by-step explanation:
Answer:
a) increase
b) true
Step-by-step explanation:
Hope this helps plz hit the crown:D
Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she receive. Assume there are no tax sales
Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
Jenny will receive $12.51 in change.
We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.
We need to find the total cost first.
What is the total cost?Total cost=price of pants +price of shirt
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars
She gave to get the amount of change she receives.
So we have to subtract the total cost from 40 so we get,
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
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The slope of a line is a number we can calculate using any two points on the line. To find the slope, divide the____ distance between the points by the _____ distance.
i need the blanks
Answer: To find the slope, divide the__Y__ distance between the points by the __X___ distance.
Step-by-step explanation: The formula is (Y2-Y1)/ (X2-X1)
e and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars. Write an equation representing how much Gwen paid, Write an equation representing how much Keith paid.
Answer:
For Gwen:-
x + 10y = 30
x + 15y = 40 - Tristan
if we subtract the above equations:-
we get
5y = 10
y = 2
That is the cost of each ticket is $2.
Step-by-step explanation:
Answer:
Keith & Gwen Paid: y=10x+30
Tristan Paid: y=15x+40
Step-by-step explanation:
now gimmie my Ford Super Duty F-250 12'
The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the price charged for the product p, stated in dollars. Determine the restricted Domain and Range of the function.
Answer:
D=[0, 8 214.29]
R=[0, 230 000]
Step-by-step explanation:
In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.
The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.
230,000-28p=0
so we get
-28p=-230,000
[tex]p=\frac{-230,000}{-28}[/tex]
so
p=$8,214.29
so the restricted domain for this function would be:
[tex]0\leq p \leq 8,214.29[/tex]
or in interval notation:
D=[0, 8 214.29]
In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:
q=230,000-28(0)=230,000
q=230,000-28(8214.29)=0
so the range would be:
[tex]0\leq q \leq 230,000[/tex]
or in interval notation:
R=[0, 230 000]
the lenght of a rectangle tile is 24 cm and its breadth is 40 mm find its area in square mm
Answer:
area=length*breadth
area=24*40
area=960sqare m
if we convert 960m to mm it will be 960000mm
final answer area=960000 square mm
WILL GIVE BRAINLIEST FOR EXPLANATION!!!!!! AND ANSWER!
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
Answer:
you cant give brainliest you have to earn it
Answer:
The graph will be flipped and move 3 units to the left
Step-by-step explanation:
Parent function: f(x) = x^4
Graph: g(x) = −(x + 3)^4
Compared to the parent function, g(x) will be flipped because of the negative coefficient and move 3 units to the left because of (x+3).
if the length of the football field is 100 yards and the width is 53.3 yards what is the area
Answer:
It is 533 yards
Step-by-step explanation:
SImply multiply the length and the width of the football field to get it's area. 100 times 53.3 is 533 yards.
Answer:
5,330 yards^2
Step-by-step explanation:
Area = lw (length x width)
53.3 x 100= 5,330
Therefore, the area of the football field is 5,330 ft ^2
Help please geometry 10 points
Answer:
15) LKJ congruent YZX 16) VXW Congruent PRQ
Step-by-step explanation:
This is the answer
Find the sum of the interior angle measures of a regular polygon
with 17 sides
Answer:
2700
Step-by-step explanation:
the formula is (n - 2) 180
what is the answer
What is the answer to f(x)=2x+28?
How much is 4 times 4?
Answer:
16 :D
Step-by-step explanation:
4 * 4 = 16
Answer:
16
Step-by-step explanation:
4x4=16
Hope this helps.
The model shows the expression 219 Which expression is equivalent to this sum? O 3(7+3) O 307)+ 3 O 3+7+3 O 7(3+3) Mark this and retum Me
Answer:
a
Step-by-step explanation:
Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
1. Explain how you know that Triangle B is not similar to Triangle A.
2. Give possible side lengths for Triangle B so that it is similar to Triangle A.
9514 1404 393
Answer:
side lengths are not proportional6, 8, 10Step-by-step explanation:
1. The triangles are not similar because the ratios of side lengths are not the same:
3 : 4 : 5 ≠ 6 : 7 : 8
__
2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:
3 : 4 : 5 = 6 : 8 : 10
If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.