Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
How is the product of a complex number and a real number represented on the coordinate plane?
A. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
B. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a countercockwise rotation of 90 degrees of the complex number.
C. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a clockwise rotation of 90 degrees of the complex number.
D. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows the product is a counterclockwise rotation of 90 degrees and a scalar of the complex number.
Please help I don't know which one.
Answer:
A
Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A
When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
What is a complex number?"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"
What are real numbers?"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"
For given example,
The product of a complex number and a real number.
Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.
The product of 'u' and 'x + iy' is,
[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]
Let [tex]2+3i[/tex] be a complex number.
For [tex]u=4[/tex],
[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]
Let [tex]u=-2[/tex],
[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]
We can observe that, the product is a scalar of the complex number.
Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
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PLEASE HELP!
WILL MARK BRAINLIEST!!!
If AC=12cm, what is the area sector ACB to the nearest whole number?
Thank you! Multiple choice!
Answer:
38
Step-by-step explanation:
Have a nice day :)
A box has a height of 6 inches.
6 in.
Base
The area of the base is 40 squbere inches.
What is the volume of the box?
Pleaseee
Answer:
the awnser is 216
Step-by-step explanation:
Do 5 feet+ 12 feet + 13 feet make a. Right triangle
Answer:
yes
Step-by-step explanation:
Pythagoras
in a right triangle it is always
c² = a² + b²
with c being the side opposite of the 90 degree angle.
5² = 25
12² = 144
13² = 169
so, because indeed 13² = 5² + 12², these three lines make a right triangle.
ILL GIVE YOU BRAINLIEST IF YOU GET RIGHT AND EXPLAIN
An Angle is half of its supplement.What is the measure of its complement?
Answer:
Step-by-step explanation:
That means that its complement is 90 - 40 = 50 degrees. This also means that its supplement is 180 - 40 = 140 degrees. Therefore, a half of its supplement is 70 degrees and when added to the 50 degree complement the total is 120 degrees, just as the problem said it should be.
==========================================================
Explanation:
Let x be the unknown angle
Its supplement is 180-x, since it must add to x to get 180
The angle x is half of the supplement 180-x, meaning,
x = half of supplement of x
x = half of (180-x)
x = (1/2)*(180-x)
x = 0.5*(180-x)
x = 90 - 0.5x
x+0.5x = 90
1.5x = 90
x = 90/1.5
x = 60
The unknown angle is 60 degrees. It's supplement is 120 because 60+120 = 180, and we can see that 60 is half of 120. So that confirms we have the correct x value.
The last step is to find the complement of angle x. We subtract from 90 like so
90-x = 90 - 60 = 30 which is the final answer
As a check, we can see that 60+30 = 90 to show that we have complementary angles.
------------
Extra info:
It might be easy to mix up the terms "supplementary" and "complementary". What helps me remember is that "supplementary" and "straight angle" both start with S. This could be one way to remember that supplementary angles always add to 180.
Also, both "complementary" and "corner" both start with C, which may be one way to remember that complementary angles always add to 90.
Find the position vector of a particle that has the given acceleration and the specified initial velocity and position.a (t) = 8t i + sin t j + cos 2t k, v(0) = i, r(0) = jr(t) = ?(b) On your own using a computer, graph the path of the particle.
Answer:
remember that:
a*i + b*j + c*k can be written as a vector: (a, b, c)
We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.
a(t) = (8*t, sin(t), cos(2*t))
integrating that, we get:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0
where v0 is the vector that defines the velocity at t = 0
in the question you wrote:
V(0) = i
so i suppose that this is:
V(0) = (1, 0, 0)
Then the velocity equation gives:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)
V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)
Now to get the position equation, we integrate it again
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0
where r0 is the initial position, in the question you wrote:
r(0) = j
so we get:
r(0) = (0, 1, 0)
replacing that we get:
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)
r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)
Writing this in the same notation than in the question, we get:
r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k
b) Now we want to graph this:
The image isn't really good but can be used to understand the motion of the particle.
Parrot eats only ........ products
Answer:
Maybe Plants products...
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
A: a gain of $0.45
B: a gain of $0.55
C: a loss of $0.55
D: a loss of $0.45
===============================================
Explanation:
Let x be the net winnings the customer gets
Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.
The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize
Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95
The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.
This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.
Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.
----------------
Here's another way to see why this works:
The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.
What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?
Answer:
60
[tex]2^{2} * 3 * 5[/tex]
Step-by-step explanation:
Help me i think it’s c
Answer: Graph B
=====================================================
Explanation:
Point A appears to be at (2.5, -1)
If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5
If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3
Overall, the point A(2.5, -1) moves to A'(-3.5, 3)
Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.
A spinner with 8 equal-size sections labeled as shown is spun 200 times. What is the sample
space for this experiment?
Answer:
hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and
In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round
Answer:
120 free throws
Step-by-step explanation:
If she misses 15% of her free throws, that means she makes 85% of them.
Find how many she attempted by dividing 102 by 0.85:
102/0.85
= 120
So, she attempted 120 free throws
The number of free throws that were attempted is 120 free throws.
Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:
= 100% - 15% = 85%
Therefore, 85% of x = 102
0.85x = 102
x = 102/0.85.
x = 120
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Can someone help me with this question please..
Answer:
The answer is (3 ,5)
Step-by-step explanation:
Please give brainliest!!!
Answer:
(3,5)
Step-by-step explanation:
order pair of A is (3,5)
3 is x component.
5 is y component.
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
look at the image and I need help with that
Answer:
A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.
Step-by-step explanation:
A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.
Step-by-step explanation:
So, lets pick apart the expressions.
We know the variables will be unknown values:
3unknown value + 5
We know that a number in front of a variable is multipication, so:
3 times unknown value + 5
We know there is a addition symbol, which means a sum of two numbers.
So:
3 times a unknown value and the sum of 5
5 is just 5, so we can write it as it is.
This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:
3 times a unknown value plus by 5
So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.
Next we have 4(x-2)
So first off, x is our unknown value:
4(unknown value-2)
- is subtraction, so:
4(unknown value subtracted by 2)
2 remains as 2.
4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:
The unknown value subtracted by 2, then multiplied by 4.
I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.
round to 387.4 when rounded to the nearest tenth
Answer:
387.4
Step-by-step explanation:
Have a nice day
Which expression is equivalent to square root 343x^9y^12z^6?
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
- b/0.1 +2.9= -35.1 no links or anything just the answer
Answer:
b = 3.8
Step-by-step explanation:
- b/0.1 +2.9= -35.1
Subtract 2.9 from each side
- b/0.1 +2.9-2.9= -35.1-2.9
-b/.1 = -38
Multiply each side by -.1
-b/.1 * (-.1) = -38 *(-.1)
b = 3.8
A six sided number cube is rolled. What is the probability of getting a 2 and then a 1, given that the first number rolled was a 2?
Answer:
1/36
Step-by-step explanation:
P(2 then 1) = 1/6 x 1/6 = 1/36
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation:
Solve the inequality for s:
5s + 2 > 7
Answer:
Answer:
S>1
Step-by-step explanation:
5s + 2 > 7
Subtract 2 from both sides
5s>5
Divide 5 from both sides
S>1
Solution of the inequality is s>1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.
Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.
The inequality sign must be reversed if either side is multiplied or divided by a negative number.
5s+2 > 7
Subtracting 2 on both side,
5s > 5
s>1
Therefore, the solution set of inequality is s>1.
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16 men take 10 days to build 2 bedroom houses. How long will it take 10 men to build 4 bedroom houses?
Answer:
chicken nuggets are good
Step-by-step explanation:
chicken but nuggets who t f thought of this
PLEASE HELP ME
Solve:
24t = 72
OA) t= 3
OB) t= 4
OC) t=- 2/1
OD) t= 1/3
Answer:
t =3
Step-by-step explanation:
24t = 72
Divide each side by 24
24t/24 = 72/24
t=3
Answer:
A
Step-by-step explanation:
24 t = 72
divide both sides by 24
Thus, t = 72/24
t = 3
Bye ! :-)
Write a linear factorization of the function.
f(x) = x4 + 16x2
f(x) = x2 (4x + i)(4x - i)
f(x) = x2 (x + 4i)2
f(x) = x2 (x + 4i)(x - 4i)
f(x) = x2 (4x + i)2
Answer:
f(x) = x^2 ( x -4i) (x+4i)
Step-by-step explanation:
f(x) = x^4 + 16x^2
Factor out x^2
f(x) = x^2 ( x^2 +16)
f(x) = x^2 ( x^2 - -16)
The square root of -16 is 4i and -4i
Using the difference of square (a^2 - b^2) = (a-b)(a+b)
f(x) = x^2 ( x -4i) (x+4i)
select an expression that is equivalent to 4√x2/3
A x14x14
B x94x94
C x16x16
D x83x83
Answer:
here is your answer
Step-by-step explanation:
here is your answer
How many Egyptian numerals (total) are needed to represent the following problem?
please help me solve this
Answer:
x=5, y=16
Step-by-step explanation:
y=x^2-9
y=2x+6
solve by substitution
2x+6= x^2 -9
2x+6 = (x+3) (x-3)
2 (x+3) = (x+3) (x-3)
divide both sides by x+3
2= x-3
add 3 to both sides
x=5
y= 2(5) +6
y= 16
Answer:
(-3, 0), (5, 16)Step-by-step explanation:
y = x² - 9y = 2x + 6Solve by substitution:
x² - 9 = 2x + 6x² - 2x - 15 = 0x² - 2x + 1 = 16 (x - 1)² = 4²x - 1 = ± 4x = 1 ± 4x = 5 ⇒ y = 2*5 + 6 = 16x = - 3 ⇒ y = 2*(-3) + 6 = 0Which inequality represents the compound in
equality x > 3 and x < 5
Answer:love
Step-by-step explanation:
Inequalities and Absolute Value Equations.
x > 3 and x < 5
Inequality Form:3<x<5
Interval Notation:
(3,5)
An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols
What are the 5 inequalities?The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).
Which of the following is an example of compound inequality?Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.
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jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
HELP ME ASAPPP 25 POINTS!!!
The slope of the line parallel is -2/3 and the slope of the perpendicular one is 3/2.