Answer:
i think the answer is C, (-1 + 21) (i + 5i)
Step-by-step explanation:
i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!
The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, (–1 + i) + (21 + 5i)
We have to find the expression that demonstrates the use of the commutative property of addition
According to the commutative property of addition, altering the order of addends has no impact on the sum.
Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
Learn more about the expression here:
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DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible
Answer:
5878600 different playlists.
Step-by-step explanation:
Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.
Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.
Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.
So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!
So, the number of different playlists that can be formed is thus
⁷C₃ × ²⁰C₁₁ = 7!/4!3!.× 20!/9!11!
= 35 × 167960
= 5878600 different playlists.
How do you turn 8x-4y=20 into slope intercept form?
Please show me the steps
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
We need to leave y-term as the subject of equation.
[tex] - 4y = 20 - 8x[/tex]
Move 8x to subtract.
[tex]y = \frac{20 - 8x}{ - 4} [/tex]
Pull the negative out of 4.
[tex]y = - \frac{20 + 8x}{4} [/tex]
Simplify
[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]
Swap x-term and constant.
[tex]y = 2x - 5[/tex]
6 lots of 3 is 6 more than 5 lots of 3
Please help quick!!
Which expression is equivalent to
25?
- 2 + 2 + 2 + 2 + 2
- 5 + 5
- 2 · 2 · 2 · 2 · 2
- 5 · 5
the last one sorry i thought 5 was negative lol
Answer:
5 · 5
Step-by-step explanation:
2 + 2 + 2 + 2 + 2 = 10
5 + 5 = 10
2 · 2 · 2 · 2 · 2 = 32
5 · 5 = 25
A bag of marbles had 36 yellow marbles and the rest were green. For a game, 32 marbles were chosen from the bag. Of these 32 marbles chosen, 78 were yellow.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."
Question 1
How many yellow marbles were NOT chosen
Question 2
How many of the bags marbles were NOT chosen
Question 3
How many yellow marbles were chosen
Answer
Step-by-step explanation:
what method matters?
Answer:
46
Step-by-step explanation:
46+ 32= 78
40+30=70
6+2=8
70+8+78
Is (1, -7) a solution of y=x-8?
Νο
Yes
hi die cry why guy shy fiy
Answer:
Yes
Step-by-step explanation:
You just plug in the values. [tex]-7 = 1-8[/tex]. You plug in 1 for x, and -7 for y
HELP!!!
Write the slope and a point from each of the given equations
1) y + 5 =-7/4(x-4)
Answer: x=
7
Step-by-step explanation:
what is the area of the circle
Answer:
7850
Step-by-step explanation:
Answer:
7850 cm squared
Step-by-step explanation:
The formula for area of a circle is 3.14(r^2)
The radius is 50 cm.
3.14(50^2)
7850
wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate
Answer:
It is necessarily true necessary to increase the altitude at same rate
Step-by-step explanation:
According to questions the time take by both the climbers is same where as their distance traveled and velocity is different
Let time taken to complete the journey for both the climbers= t
therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex] where
[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers
[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers
So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity
The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.
Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.
Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.
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what is least common multiple of 16 and 76
Answer:
304
Step-by-step explanation:
Answer:
lcm(76,16) = 304
Step-by-step explanation:
The multiples of 76 are … , 228, 304, 380, ….
The multiples of 16 are …, 288, 304, 320, …
The common multiples of 76 and 16 are n x 304, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n
=0∈Z.
What is the difference of the polynomials?
Answer:
[tex]2x^{3} + 2x[/tex]
Step-by-step explanation:
[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation
[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract
[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms
[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified
[tex]2x^{3} + 2x[/tex] --> Simplified
Hope this helped! <3
Plzzzz help you are in a sailboat race. the course is triangular,racing A-B-C- finish. by what angle do the sailboats need to change so that they can make it to the finish line.
It depends they are at the time your asking the question
Answer:
I'm going with the first one
Step-by-step explanation:
Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
Answer:
Total fine paid by Amelia = £1.44
Step-by-step explanation:
Given that:
Number of days = 27 November to 12 December
Number of days = 16 days
Per day fine = 9p
Total fine = Per day fine * Number of days
Total fine = 9 * 16
Total fine = 144p
1£ = 100p
144p = [tex]\frac{144}{100}[/tex]
144p = £1.44
Hence,
Total fine paid by Amelia = £1.44
8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work
Answer:
Cory drove 56 miles.
Step-by-step explanation:
In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:
7 ^ 2 + 24 ^ 2 = X ^ 2
49 + 576 = X ^ 2
2√625 = X
25 = X
Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).
WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST
Answer:
10
Step-by-step explanation:
This is one of the easiest equations to perform on a calculator and to memorize, as I had to do in 7th grade. Just remember that when you multiply anything by 10, including itself, you just add a 0 to the result. So, 10 * 10 = 100. 10 * 11 = 110. 10 * 12 = 120. And so on...
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
For questions 13 - 14, determine which mappings are functions. please help, will give brainliest
Answer:
24
Step-by-step explanation:
you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)
Find the midpoint of points A(-8, 2) and B(-5, 10)
Answer:
-40×20
= -40/20
= -2
Step-by-step explanation:
A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
Answer:
Step-by-step explanation:
From x = -2 to x = 0, the average rate of change for both functions is negative
The quadratic function, y = x2, has an x-intercept at the origin
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
those 3 are good
The quadratic function, y = x², has an x-intercept at the origin is, TRUE
And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE
From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have;
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.
And, Both are declining if you read the graph from left to right.
For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.
y = x²
If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3
For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.
If we insert 2 for x, we see that;
⇒ y = x² + 3
⇒ y = 2² + 3
⇒ y = 7
And, our y value in the point (2, 7) is 7.
Learn more about the function visit:
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HW HELP ASAPPP
+10PTS
Answer:
bruce
y = 1/4 x
Step-by-step explanation:
9 tiles per sq ft for felicia
so 1/9 sq ft per tile
so bruce covers more
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.
Answer: The correct answer is B, the slope is -1/2.
Step-by-step explanation: I hope you have a blessed day. ;)
An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].
The slope of the line:
Given points:
Point A ⇒ (4,2)
Point B ⇒ (6,3)
calculate the slope value:
slope formula:
[tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]
Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].
Find out more about the slope here:
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ill give brailest
Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?
In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.
Elion believed that new drugs could be developed to help people.
Elion had to work for Hitchings because she was a woman.
Elion worked hard for more than 40 years to earn money for retirement.
Elion and her colleagues were responsible for developing important drugs.
All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there
Answer:
61 cabins
Step-by-step explanation:
Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.
48 + 13 = 61
Step-by-step explanation:
62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.
SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.
Answer:
1-4
An exponent is the amount of times a number is multiplied by itself
Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)
5-10
You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.
Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64
And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!
1, 172 2, 300 3, x3 4, p5
i will put the rest in the comments
Can someone tell me how to do a transversal angle measurement with steps and angles
Answer:
Sorry I am not sure but when I figure it out..... I prolly won't
Step-by-step explanation:
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
Look at pic and pls halp
over a 5-year period.
Investment over
5 years
Value of investment (£)
1140
1120
1100
1080
1060
61040
1020
1000
0
0 1 2 3 4 5
Year
Answer:
Year 0 900$
Year 1 1000$
year 2 1080$
Year 3 61040$- (interest comes in)
Year 4 110000$
Year 5 152000$
Step-by-step explanation:
Make sure you put that interest comes in or you will be marked wrong.
You're welcome :D GoodLuck have a good day
A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line
Answer:
Step-by-step explanation:
use point-slope formula [y-y1 = m(x-x1) ] with the given info
P=(x1,y1) = (0,2) and slope m = -1/4
y-2=-1/4(x-0)
y-2= -1/4x
now try to move things till you get the slope-intercept form [y=mx+b]
y= -1/4x+2
good all done :)