Answer: 46-3i
Step-by-step explanation: Use the FOIL method, (a+b)(c+d)=ac+ad+bc+bd. Collect like terms then simplify.
(6+7i)(3−4i)
18−24i+21i+28
(18+28)+(−24i+21i)
46-3i
- Hope this helps, have a blessed and wonderful day! :-)
In the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46).
What are complex numbers?
A complex number is a number of the form a + bi, where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex].
Given is the following complex expression -
(6+7i)(3−4i)
We have -
(6 + 7i)(3 − 4i)
On expanding, we get -
6(3 - 4i) + 7i(3 - 4i)
18 - 24i + 21i - 28i²
18 - 3i - 28i²
18 - 3i - 28 (-1)
18 - 3i + 28
46 - 3i
- 3i + 46
Therefore, in the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46)
To solve more questions on complex numbers, visit the link below-
https://brainly.com/question/617146
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Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a
group of her friends. If she has $20, which inequality can be solved to show the number of cookie c she can buy?
Answer:
1.50c <_ 20
Step-by-step explanation:
Round 345,047 to the nearest thousand ten thousand hundred thousand
345,000 ; 350,00 ; 300,000.
Answer:
300,000
Step-by-step explanation:
the ten hundred thousands place would be
100,000
therefore the nearest ten hundred thousand would be
300,000
because the 345,047 isn't a high enough digit to be 5+ and make the nearest thousand 400,000 and not 300,000
If that doesn't help, think of it like this...
Anything before the place is what determines if the number will be higher or lower.
45 is lower than 50 and 50+ is the passing number to make the number 400,000.
Tip: when your rounding numbers the only numbers that stay the same and don't turn into 0's is like the 3 in "345,047" but the "45,047" part turns into 0's is because those aren't needed and because you rounded it, it's like it takes those numbers to make what you rounded to higher or lower.
so if you look at it like that the answer is 300,000.
<3 Enjoy,
Dea
How much money would you need to deposit today at 7% annual interest
compounded semi animally to have $50,000 in the account after 6 years?*
Answer:
$33,090.
Step-by-step explanation:
The formula is A = P( 1 + r/2)^2n so we have:
50,000 = P(1 + 0.07/2)^(6*2)
50000 = P * 1.035^12
P = 50000/ 1.035^12
= $33,090 to the nearest dollar.
(2, 1) and (8, 9) *
Answer:
Step-by-step explanation:
Well thanks to you, it'll take about 20 seconds to write the answer.
9 - 1 ÷ 8 - 2 = 8÷6 = 4/3 or 1.4
Factor the expression completly over the complex numbers x^4+10x^2+25
Answer:
Rewrite it in the form {a}^{2}+2ab+{b}^{2}a
2
+2ab+b
2
, where a={x}^{2}a=x
2
and b=5b=5.
{({x}^{2})}^{2}+2({x}^{2})(5)+{5}^{2}(x
2
)
2
+2(x
2
)(5)+5
2
2 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
{({x}^{2}+5)}^{2}(x
(x^2 + 5)^ 2
Step-by-step explanation:
Convert 99000 milligrams into pounds. Round your answer to the nearest
hundredth.
Answer:
0.21825764 pounds
A school has 117 fifth graders. Each fifth grader walks 7 laps during recess. What is the total number of the laps the fifth graders walk?
Answer:
They walk a total amount of 819 laps.
1. What are the weekly wages for 40 hours of work at an
hourly rate of $8.50?
A $34.00
B $68.00
C $340.00
D $3,400.00
Answer:
the answer is c $340.00
Step-by-step explanation:
8.50*40=340
Answer:
$340.00
Step-by-step explanation:
I calculated it
What is 3 + 3?
I'm really stuck on this
Answer:
3 + 3 = 6
Step-by-step explanation:
I hope this helped!
What do you add to
5 6/7 to make 9?
Lorna has $60 and her sister has $120. Lorna
saves $7 per week, and her sister saves $5 per
week. Which equation and solution represent
the number of weeks, w, it will take for the girls
to have the same amount of money?
Step-by-step explanation:
whats theamountof money?
Which of the polygons below makes the following statement false?
All ________ have at least one line of symmetry.
rectangles
trapezoids
rhombi
squares
Answer:
trapezoids.
Step-by-step explanation:
rectangles will always have symmetry because they have 90-degree angles and can't be irregular. squares are rectangles so they also have symmetry. Rhombi by definition have two pairs of identical angles, so they must be symmetrical.
Trapezoids have angled sides, which don't have to be the same, therefore, trapezoids makes the statement false
I need help with this math problem
Answer:
The answer should be a positive 3 instead of a negative.
Step-by-step explanation:
The error is in the first step. The equation should've been set up like this...
-14+2y+4=4
-10y+2y=-4
2y=-4+10
2y=6
y=3
One line segment m is (3x + 5) units long and line segment n is (x - 10). What is the value of r if line segments m and n are congruent?
Answer:
I believe it is -17.5. Tell me if I am wrong
Step-by-step explanation:
3x + 5 = x - 10
-x -5 -x -5
2x = -15
x = -7.5
3(7.5) + 5
= 22.5 + 5
= -17.5
The American Heart Association recommends that you consume less
than 1500 milligrams of sodium per day. Today you have already taken
in 400 milligrams of sodium. Write and solve an inequality that represents
the additional amount of sodium you can consume.
The inequality that represents the additional amount of sodium you can consume is x< 1100, where x is the additional consumption.
What is an inequality and how to solve it ?An inequality is a statement that compares two expressions we can solve an inequality by adding same number to both sides or by subtracting same number from both side. While adding or subtracting the sign of the inequality will not change .
Given that American Heart Association recommends that you consume less than 1500 milligrams of sodium per day
∴ total consumption per day < 1500 milligram
400 milligrams of sodium is already taken today and let x be the additional amount that can be consumed today
Total consumption today will be 400+ x milligrams
∴ (400+x) < 1500
Subtracting 400 from both sides
⇒ x<1500-400 = 1100
Therefore, the additional amount of sodium that can be consumed today must be less than 1100 milligrams today.
Also, Learn more about the inequalities from the link below:
https://brainly.com/question/11612965
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each ticket costs $34 If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?
Answer:
2924
Step-by-step explanation:
36
x 86
‐--------------
2924
Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?
Answer:
39 ft
Step-by-step explanation:
Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.
Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex] .... which a and b are the two sides while x is the diagonal.
[tex]5^{2} +12^{2} = x^{2}[/tex]
[tex]25 + 144 = x^{2}[/tex]
[tex]169 = x^{2}[/tex] ... now we square root both sides
[tex]13 = x[/tex]
Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.
13 * 3 = 39 ft
help asap please!!
I need the answer : 2/12 - (-3/4)
Answer:
11/12
Step-by-step explanation:
Answer:
=11/12
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Guys pls help i thought it is B but idk just to confirm.
Answer:Im going with d
Step-by-step explanation:
How might you prove your observations from question 4 about the length of a midsegment using geometric theorems? Briefly outline an approach using what you know about midpoints, parallel lines, and congruent triangles. Use the figure you created in GeoGebra to guide you.
Answer:
To prove the relationship about the length of a midsegment, I can use the properties of parallel lines and transversals. If I draw at least two midsegments, I see that they form congruent triangles within the original triangle, ∆ABC. I can prove the congruence of these triangles using triangle congruence criterion, and then use properties of congruent triangles and the Transitive Property to show that the length of the midsegment is half the length of the side it is parallel to.
Step-by-step explanation:
Answer:
To prove the relationship about the length of a midsegment, I can use the properties of parallel lines and transversals. If I draw at least two midsegments, I see that they form congruent triangles within the original triangle, ∆ABC. I can prove the congruence of these triangles using triangle congruence criterion, and then use properties of congruent triangles and the Transitive Property to show that the length of the midsegment is half the length of the side it is parallel to.
Step-by-step explanation:
PLATO
Find the prime number.
Group of answer choices
0
6
7
4
Answer: 7
Step-by-step explanation:
7 is a prime number
Answer:
7
Step-by-step explanation:
7 can't be divisible by anything but 1 and itself. All the other numbers can. Except 0. 0 isn't defined as a prime or composite number.
I hope this helps!
Which operation will "undo" subtraction?
a. multiplication
b. subtraction
c. addition
d. division
Answer:
Addition
Step-by-step explanation:
Because if you have -6, just add 6 and then it will get undone
Answer:
addition
Step-by-step explanation:
hope it helps
Find the x−and y−intercepts.
−5x − 4y = 20
The x−intercept is ____
.
The y−intercept is ____
Answer:
x-intercept(s): (−4,0)(-4,0)
y-intercept(s): (0,−5)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for xx. To find the y-intercept, substitute in 0 for x and solve for y.
Mario needs 32.5 m of chain link fence to enclose his garden. The cost of the fence is $6.88 per meter.
What is Mario's total cost?
$22.35
$22.36
$223.50
$223.60
all whole numbers are integers. (true or false) all rational numbers are whole numbers. (t or f) there are rational numbers that are not integers. (t or f) there are whole numbers that are not integers. (t or f)
Answer:
false
Step-by-step explanation:
false
true
false
What is the sum?
23.85 + 7.42 + 16.15
Enter your answer in the box.
47.42
Answer:
47.42
Step-by-step explanation:
47.42 is ur answer
Just add them vertically and line up the decimal points.
23.85
7.42
16 .15
---------
47. 42
What is 240,700 written in scientific notation?
Group of answer choices
2.407 x 10-5
2.407 x 105
2.40 x 105
24.07 x 104
Answer:
It is the 2nd option
Step-by-step explanation:
who ever solves this is a math wiz
A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answer:
4blue marble+9 green marble+5 red marble=18marble totle
1 marble probility=1/17
Select the two expressions that are equivalent to 38 x 27.
O 35
O 311
O 324
O 38 x 33
O 311 x 27
Answer:
none
Step-by-step explanation:
i dont know, but i calculated it and none of them work, are you sure you typed it in write?