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Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
The complex numbers z1 and z2 are graphed. Which point represents z1 + z2?
A
B
C
D
Answer:
A
Step-by-step explanation:
edge
[tex]Z_{1} +Z_{2}[/tex] represents Point A i.e., 3i.
What are complex numbers?Complex numbers are the numbers that are expressed in the form of
a + ib where, a, b are real numbers and ‘i’ is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
Given
The complex numbers z1 and z2 are graphed.
From the graph,
[tex]Z_{1} =3+i[/tex]
[tex]Z_{2} =-3+2i[/tex]
[tex]Z_{1} +Z_{2}= 3+i+(-3+2i)[/tex]
[tex]Z_{1} +Z_{2}= 3-3+i+2i[/tex]
[tex]Z_{1} +Z_{2}= 3i[/tex]
Option A is correct.
[tex]Z_{1} +Z_{2}[/tex] represent Point A i.e., 3i.
Find out more information about complex numbers here
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Solve this equation. Enter your answer in the box.
−5/6e−2/3e=−24
what is the slope of (1,-3) and (-5,-4)
Answer:
slope is 1/6
Step-by-step explanation:
What is the slope-intercept equation of the line that goes through the points (3,5) and (-1,13)
Answer:
y=-2x+11
Step-by-step explanation:
Slope-intercept form is y=mx+b.
Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.
You can plug this into y=mx+b to get y=-2x+b.
To solve for b, you can use one of the original points and plug it back into the formula:
y=-2x+b
5=-2(3)+b
5=-6+b
b=11
So, putting it all together, you get y=-2x+11.
What is the measure of ∠C in the figure below
Answer:
C. 56°
Step-by-step explanation:
An isosceles triangle has two sides that are equal. ∆ABC has two equal sides. Thus, the angles opposite the two sides of an isosceles triangle are also congruent to each other.
<C and <A are congruent to each other.
m<A = 56°, therefore,
m<C = 56°
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5
I need help with math homework #2 algebra
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4} [/tex]
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
how would you break down 40% to find 40% of a number
Answer:
find 80 percent
Step-by-step explanation:
Complete the multiplication sentence that the following images represent. * 10
Answer:
486 if its multiplication
Step-by-step explanation:
18*27=486
QUESTION 1 of 10: A company is offering to pay a stadium $750,000 per year for naming rights. If the administrative costs for this
sponsorship are $63,000, what are the costs as a percentage of the revenue for the stadium-naming sponsorship? (Round to the nearest
percent.)
a) 5%
b) 6%
оооо
C) 7%
O d) 8%
Submit
Answer:
8%
Step-by-step explanation:
What is the answer for this plz??? I will mark brainliest!!!
Answer: 59 1/2
Step-by-step explanation:
Answer:
The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.
Step-by-step explanation:
-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]
-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]
PLEASE HELP FAST! I will give brainlist!
Answer:
D or A
Step-by-step explanation:
Answer:
960
Step-by-step explanation:
TRUST ME, mark me brainliest please
True or False: The commutative property allows you to change the order of an addition problem and division problem.
<333
Answer:
True!!Step-by-step explanation:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hope this helps!! Please consider marking brainliest! Have a good one!!
I have know what is the exact answer for this question
Answer:
512? Or you using the other way
Need help with geometry.
Answer:
42
Step-by-step explanation:
please answer fast!!!
Answer:
VP = 21
ZP = 7
Step-by-step explanation:
Given:
VZ = 14
Required:
VP and ZP
Solution:
Since Z is the centroid, therefore:
⅔ of VP = VZ (centroid theorem)
Thus,
⅔(VP) = 14 (substitution)
Multiply both sides by 3
2(VP) = 14*3
2(VP) = 42
Divide both sides by 2
VP = 42/2
VP = 21
✅VZ + ZP = VP
14 + ZP = 21
ZP = 21 - 14 (subtraction property of equality)
ZP = 7
16. Patrick turned out for the track team and lost 5.62 kilograms during the season. After the season
finished, he gained back 1.4 kilograms.
a. One of the decimals should be written as negative number. Which one is it and why?
b. Find the sum of the two numbers to determine the total change in Patrick's weight
Answer:
A: the 5.62 kilograms should be negative, since he is losing weight.
B: -5.62 + 1.4 is -4.22, which is how many kilograms Patrick lost in total.
Hope this helps :)
wut do u need answered
Answer:
nothing rn what do you need answered?
Step-by-step explanation:
Answer:
i have 0 questions to be answered anyway have a good day, week and happy new years and thanks for the points
pls help me it would mean a lot <3
Answer:
The equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]Step-by-step explanation:
We know the slope-intercept of a line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given two points on a line graph
(0, 0)(25, 10)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]
[tex]m=\frac{10-0}{25-0}[/tex]
[tex]m=\frac{2}{5}[/tex]
We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept = b = 0
Now, substituting b = 0, and m = 2/5 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{5}x+0[/tex]
[tex]y\:=\:\frac{2}{5}x[/tex]
Therefore, the equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]What is the greatest common factor of 42, 56, and 112
Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.
Step-by-step explanation:
Answer:14
Step-by-step explanation:
Find the exact value of cos(a-b) given sin(a)=-4/5 and cos(b)=-5/8 for a in Quadrant III and B in Quadrant II.
See picture for answer choices.
Answer: B
Step-by-step explanation:
The bakers at Healthy Bakery can make 270 bagels in 5 hours. How many bagels can they bake in 18 hours?
375 bagels
75 bagels
972 bagels
1350 bagels
The Action Copy Company offers to lease a copy machine for a fixed weekly fee of $10.00 and an additional charge of $.07 for each copy. Fast Print Company offers a fixed charge of $25.00 a week with an additional charge of $.02 for each copy. Is there a certain number of copies where the two companies charge the same amount? If so, how many copies are made and what is the charge?
It cost $15 to buy 6 pairs of socks.
SOMEONE PLZ HELP ME OUT!
Answer:
I'm not sure but I believe 0%
Step-by-step explanation:
Why I think this is they asked more than 200 students if they like hamburgers or hot dogs. They never said how many liked them both. That is why I think it is 0%. Also I'm only in 5th grade so sorry if this didn't help. I'm trying my best here.
Solve for A if ñ=3.14 and r=3.
Answer:
28.26
Step-by-step explanation:
The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.
Hope this helps! :)
Points A and B are 200 mi apart.
Answer:
17*200/17+83
Step-by-step explanation:
Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?
The distance under the question is 17*200/17+83= 17*2 = 34 miles.
17+83 = 100 mph in the denominator is the relative speed of the participants, the rate of decreasing the distance between them.
200/17+83=200/100= 2 hours is the time before they meet.
therefore 17*200/17+83 is the time before they meet
1
60°
6
7
4
LO
40°
2
3
30%
20°
Jo measures of a triangle.
its angles.
Help plzz
Answer:
1=50
2=90
3=60
4=60
5=60
6=60
7= 120
Step-by-step explanation:
261 feet in 405 minutes give it as a simplified fraction
Answer:
[tex]\dfrac{261}{405}[/tex] = [tex]\dfrac{29}{45}[/tex]
Step-by-step explanation:
We need to find the simplified fraction of 261 feet in 405 minutes.
It means we need to divide 261 feet and 405 minutes or it can be written as :
[tex]\dfrac{261}{405}[/tex]
We know that, 29 × 9 = 261 and 45 × 9 = 405
[tex]\dfrac{261}{405}=\dfrac{29\times 9}{45\times 9}\\\\=\dfrac{29}{45}[/tex]
Hence, the simplified fraction of the given fraction is [tex]\dfrac{29}{45}[/tex].