Answers
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
Related Questions
Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
The total amount owed after three years is $2,837.04.
The formula that can be used to determine the total amount owed after 3 years is:
FV = A(1 + r/m)^nm
FV = Future value of debt A = amount borrowed R = interest rate = 12/2 = 6% m = number of compounding = 2 N = number of years = 3$2000 x (1.06)^6 = $2,837.04
To learn more about future value, please check: https://brainly.com/question/18760477
Evaluate: 4.3 - (-2.7)
7
1.6
-1.6
-7
Answers
Answer:
7
Step-by-step explanation:
That means 4.3 (2.7) = 7
The negative signs get removed because negative × negative = positive
Name three equal ratios from the graph
Answers
250:10
125:5
100:4
Step-by-step explanation:
ratio of y to x
Solve for x
log2(5x-4)=4
Please show steps
Answers
Answer:
x=1.2
Step-by-step explanation:
2(5x-4)=4
distribute 2 to 5x and -4
10x-8=4
add 8 to negative 8 and 4
10x=12
now divide both sides by 10
10x/10= 12/10
x=1.2
The value of x for the logarithmic expression will be x=1.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log2(5x-4)=4. The value of x will be calculated as,
2(5x-4)=4
Distribute 2 to 5x and -4,
10x-8=4
Add 8 to negative 8 and 4,
10x=12
Now divide both sides by 10,
10x/10= 12/10
x=1.2
Therefore, the value of x for the logarithmic expression will be x=1.2.
To know more about an expression follow
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#SPJ2
The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.
extra: This is the first time I’ve seen this type of question without a diagram. Pls help!
Answers
Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)
Substitute (3) into (2),
2 [(8 - 3y) / 2]² + 3y² = 110
(8 - 3y)² + 3y² = 220
15y² - 48y - 156 = 0
Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8
OR y = -2, then x = [8 - 3×(-2)] / 2 = 7
Answer:
The coordinates are A. (-3.8, 5.2) and B. (7, -2).
Step-by-step explanation:
At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:
2x^2 + 3y^2 = 110
2x + 3y = 8
From the above equation
x = (8 - 3y)/2
So substituting for x in the first equation:
2 [(8-3y)/2]^2 + 3y^2 = 110
(8-3y)^2 / 2 + 3y^2 = 110
Multiply through by 2:
(8 - 3y)^2 + 6y^2 = 220
64 + 9y^2 - 48y + 6y^2 - 220 = 0
15y^2 - 48y - 156 = 0
3(5y^2 - 16y - 52) = 0
(5y - 26)(y + 2) = 0
y = 26/5, 2
y = 5.2, -2.
So substituting in 2x + 3y = 8
When y = -2:
2x - 6 = 8
2x = 14
x = 7.
When y = 5.2
2x + 3(5.2) = 8
2x = 8 - 15.6 = -7.6
x = -3.8.
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Answers
Answer:
4. Parallelogram
5. Parallelogram
6. Parallelogram
Step-by-step explanation:
4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.Hoped this helped.
a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Answers
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.
Answers
I’m not sure what you’re asking here
Answer:
the tip is $20 and the food costs $120
Step-by-step explanation:
it says that the bill is 120
when family leaves they spend 140 total
140-120=20
$20 tip
how do you find the ratio of something
Answers
Answer:
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.
Step-by-step explanation:
Step-by-step explanation:
hope it will help you a lot.......
A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?
Answers
Using proportions, it is found that $1,225 is earned from nachos.
This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?The rule of three is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:
[tex]1672x = 1540 \times 1330[/tex]
[tex]x = \frac{1540 \times 1330}{1672}[/tex]
[tex]x = 1225[/tex]
$1,225 is earned from nachos.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answers
Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)
Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.
Hope this explanation helps.
Answer:
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
what is 3 3/5 - 6 1/7
Answers
3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35
If anyone reading this is in K12, what state are you in?
I do FL
Answers
Answer:
I am I the state of California
Can someone please give me the (Answers) to this? ... please ...
Answers
Answer:
A.
1 ) 1/2
2 ) - 1
3 ) 1/2
4 ) 5/4
B.
5 ) not defined
6 ) 0
7 ) 15/14
8 ) - 2/5
C )
9. - 1
10. - 4/3
11. 2
12. 14/3
Answer:
A.
1) 1/2
2) -1
3) 1/2
4) 5/4
B.
5) not defined
6) 0
7) 15/14
8) - 2/5
C.
9) -1
10) -4/3
11) 2
12) 14/3
HELPPPPPP WIL GIVE BRANELISTTTT
Answers
Answer: i think the answer is B
Step-by-step explanation:
Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?
Brainliest to a person who gets it right. Need Answer ASAP please!!
Answers
Why is it a shame that parallel lines have so much in common riddle answer
Answers
Answer:
Bc they will never meet (intersect, touch, etc)
Step-by-step explanation:
Parallel do not intersect.
Mark me the Brainliest! Ty!
One group of carolers goes to every 6th house in a neighborhood, another goes
to every 8th house. At which house will the first meet?
Answers
The carolers would meet first at the 24th house.
In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.
A multiple of a number is the product of an integer and that number.
First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24To learn more about multiplies, please check: https://brainly.com/question/10520264
HELP ASAP PLZ
just answer the blanks
Answers
Answer:
i hope this helps!
Step-by-step explanation:
What is the length of the line?
Answers
Answer:
5.4
Step-by-step explanation:
You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4
Help! 100 points to correct!
Answers
Answer:
B is correct
Step-by-step explanation:
adding the amount taken away and then subtracting it is the same as subtracting twice
Answer:
either b or c
Step-by-step explanation:
1-w+w2 what is complex cube
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex]1 + w[/tex]
Step-by-step explanation:
[tex]1 - w + w2[/tex]
use the commutative property to reorder the terms[tex]1 - w + 2w[/tex]
collect like terms[tex] = \: \: 1 + w[/tex]
hope it helps=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.
Answers
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
Answer:
Step-by-step explanation:
f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).
f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2
f(g(x)) = 3(x + 2) - 2 Now remove the brackets
f(g(x)) = 3x + 6 - 2
f(g(x)) = 3x + 4
I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.
An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?
Answers
$23, a $20 bill plus $3 tip
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14
Answers
Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6
Victor has put 1000 hours into playing an online video game he has paid 671.34 over the course of the entire game how much did much did he pay per hour played?
Answers
Answer:
Give the person above me brainliest plz
Step-by-step explanation:
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
Answers
This is because it’s not a savings so it just goes in and out
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answers
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.
Answers
Step-by-step explanation:
let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.
the slope BA = -1
as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).
the slope of CD = -1
as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).
so, both lines are indeed parallel.
the slope CB = +1
as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)
the slope of DA = +1
as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)
so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).
therefore, we have only 90° angles here.
and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.
therefore, this is a square.
and with that it is automatically also a rectangle and a rhombus.
Please help me with this
Answers
Step-by-step explanation:
the only reason you would need help with this is, if you don't understand what exponents are and how they work.
because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.
so, let me explain this important element :
when you have something like 5³, then this 3 is the exponent, and the 5 is the base.
when we talk about such a thing we typically say "5 to the power of 3".
now what did it mean ?
well, it is a multiplication. a multiplication of the base by itself (like when we square a number).
and the exponent tells is how often the base is multiplied by itself.
so, back to my example :
5³ = 5×5×5
3² = 3×3
13⁴ = 13×13×13×13
once you understand that, you can solve the question yourself in seconds.
e.g. the first is looking for the equivalent of 7⁴.
we need to find the answer option that dissolves this like the examples above to 7×7×7×7.
and we find B to be the right answer.
for 3⁶ = 3×3×3×3×3×3
and E is right. and so on.
