Answer:
$54.51
Step-by-step explanation:
Find the 2nd term in the expansion of (1+3y)5
Step-by-step explanation:
Using pascal's triangle;
Then second term of the expansion (1+3y)5
is given as:
5(1)^4(3y) = 15y
Answer:
15y
Step-by-step explanation:
A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the playlist?
Answer:
Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
DJ can arrange 88,55 times the first four songs on the playlist.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
DJ prepares a playlist of 23 songs.
Since, DJ arranges the first four songs on the playlist,
The ways to arrange the song on the playlist,
= [tex]^{23}C_4[/tex]
= 23 ! / (4! x (23 - 4)! )
= 23 ! / (4! x 19!)
= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1 x 19!)
= 23 x 11 x 7 x 5
= 8855
There are 8,855 ways to arrange first 4 songs.
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PLEASE HELP THIS IS DUE TODAY!
Justify each step of the solution by stating the property that was used to get to each step.
Given: 4.5(8-x)+36=102-2.5(3x+24)
Step 1: 36-4.5x+36=102-7.5x-60
Step 2: 72-4.5x=42-7.5x
Step 3: 72+3x=42
Step 4: 3x=-30
Step 5: x=-10
Answer:
_1+5+0+8=65
Step-by-step explanation:
Col-ledge math solution hope you dont get confused
Hope this helps :)
Brainest pls?
Answer:
x= -10
Step-by-step explanation:
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
Allison and her classmates planted bean seeds at the same time as Yuki and her classmates in Tokyo did. Allison is video-chatting with Yuki about their class seedlings. Who should expect to have the taller plant at the end of the school year?
Answer:
probably yuki
Step-by-step explanation:
real fact
In other words, which one doesn't belong?
x>-2
3< x
x < 4
5>6
Please help!!
Answer:
5>6
Step-by-step explanation:
what value for x makes this equation true? 0.6x-5=0.1x+7
giving 70 points please help I only have 20 minutes to get It.......
Answer: 8
Step-by-step explanation:
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box. helpppppp
Answer: 1902 had 357 people and 2002 had 180.2 people so, the answer would be
176.8
Step-by-step explanation: i hope this helps
plz tell me if its wrong so i can fix it
List the side lengths from shortest to longest
Answer:
MO, NO, MN
Step-by-step explanation:
Answer:
the lengths from shortest to longest is: m, o, n.
what is greater 0 or 2x-6?
Answer:
It's 0
Step-by-step explanation:
0 is a greater number than the answer for 2 times -6, which is -12
can you help me on this question
they are the same but one of the is a bad pic
a
domain: {0, 2, 4), range: (2,6, 10}
b. domain: {0}, range: {2}
domain: (2, 6, 107, range: {0, 2, 4}
d.
domain: {2}, range: {0}
C.
Answer:
A
Step-by-step explanation:
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.
Answer:
24 hours
Step-by-step explanation:
Let x represent the time required to fill both pipes if they are left open
1/6 + (-1/8)= 1/x
1/6 - 1/8= 1/x
Divide through by 48
48(1/6) -48(1/8) = 48(1/x)
8 - 6 = 48 x
2= 48/x
2x= 48
x= 48/2
x= 24
Hence it will take 24 hours to fill the pipe if the drain is left open
Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the atmosphere started destroying the ozone, which protects us from ultraviolet rays. Since the 1987 Montreal Protocol (an agreement to curb CFCs), the CFCs in the atmosphere above the US have been reduced from a high of 1915 parts per trillion (ppt) in 2000 to 1640 ppt in 2014.23 The reduction has been approximately linear. Let C(t) be the concentration of CFCs in ppt in year t.
(a) Find C(2000) and C(2014).
(b) Estimate C′(2000) and C′(2014).
(c) Assuming C(t) is linear, find a formula for C(t).
(d) When is C(t) expected to reach 1500 ppt, the level before CFCs were introduced?
(e) If you were told that in the future, C(t) would not be exactly linear, and that C″(t) > 0, would your answer to part (d) be too early or too late?
Answer:
a) C(2000)=1915
C(2014)=1915
b) [tex]C'(2000)=-\frac{275}{14}[/tex]
[tex]C'(2014)=-\frac{275}{14}[/tex]
c) [tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]
d) t=2021
e) too early
Step-by-step explanation:
a)
Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:
C(2000)=1915 concentration in year 2000
C(2014)=1915 concentration in year 2014
b)
By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:
[tex]m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}[/tex]
so:
[tex]C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64[/tex]
therefore:
[tex]C'(2000)=-\frac{275}{14}[/tex]
[tex]C'(2014)=-\frac{275}{14}[/tex]
c)
Since the behavior is linear, we can calculate it with the point-slope form of the line which is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
in this case:
[tex]C(t)-C(t_1)=C'(t)(t-t_{1})[/tex]
so we get:
[tex]C(t)-1915=-\frac{275}{14}(t-2000)[/tex]
and we can now solve for C(t) so we get:
[tex]C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915[/tex]
for a final answer of:
[tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]
d)
So next we solve the equation for C(t)=1500 so we get:
[tex]1500=-\frac{275}{14}t+\frac{288405}{7}[/tex]
[tex]1500-\frac{288405}{7}=-\frac{275}{14}t[/tex]
[tex]-\frac{277905}{7}=-\frac{275}{14}t[/tex]
[tex]t=2021 \frac{7}{55}[/tex]
so we will reach that concentration level at the year 2021 approximately.
e)
Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .
This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
1kg apple for 0.25 rupees
Step-by-step explanation:
Hope this helps!!
A dice is rolled twice.
What is the probability of getting a 2 AND a 5?
A study reported that about half of young adults continue to text and drive, despite the dangers. To find out if this
applies to teens, you asked an SRS of 30 classmates if they texted while driving, and 13 responded "Yes."
To see if this result is surprising, you need to conduct a simulation to estimate the probability of obtaining a sample
result as low as yours.
Using the following line of random numbers, where even = Yes and odd = No, how many "Yes" responses are there if
this is the first trial of your simulation? Note: O is considered an even number.
71487 09984 29077 14863 61683 47052 62224 51025
0 11
0 14
16
0 19
Answer:16
Step-by-step explanation:
I just took this test on edgueinity
Answer:
b
Step-by-step explanation:
Ava 2022
Jake, Utah, renting with a friend
Hourly rate: $8.75/hour
Hours worked: 40/40
Commission rate: 2.75%
Sales amount: $7500
Expenses: everything.
Y
CO20
Answer:
What is the question?
Step-by-step explanation:
I will change my answer if you put a clear question up...
A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower
Answer:
$343.45
Step-by-step explanation:
$318.75 x 1.0775 = $343.45
or
$318.75 x 0.0775 = $24.70
$318.75 + $24.70 = $343.45
The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
What is percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have a customer purchased a lawn mower for a total purchase price of $318.75.
Sales tax rate = 7.75%
Sales tax amount = 7.75% of $318.75
Sales tax amount = $24.64 ≈ $24.70
Original price = 318.75 + $24.70 = $343.45
Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
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Consider the relationship between the words pine and tree Which answer choice contains a pair of words with the same relationship? A. book: title B. hook: instrument C. badger: animal D. head: scarf
Answer:
Maybe it's C.
Step-by-step explanation:
Answer:
ti is A BOOK TITLE
Step-by-step explanation:
What is the rule of the rotation. Did it rotate clockwise or counterclockwise? How many degrees did it rotate?
Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No
Answer:
Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn
Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why
Answer:
-3x + 2 = y
As the y-intercept is y = 3
And the rise/run = 3/-1
What is the solution to this equation? 6x + 5 = 29 Enter your answer in the box. x =
Answer:x=4
Step-by-step explanation: I took the K12 test and I got 100%
Which list has three equivalent fractions for 3/4?
Answer:
6/8 12/16 27/36
Step-by-step explanation:
A football player completed a 35 yard pass. How many inches did he
throw the ball?
1,000 in
1,260 in
1450 in
105 in
Answer:
1260 inches
Step-by-step explanation:
1 yard = 36 inches
35 * 36 = 1260 inches
23.85 + 7.42 + 16.15
Answer:
47.42
Step-by-step explanation:
Try solving this way
23.85
+07.42
+16.16
=======
47.42
Find the value of x.
Pls explain to me I’m lost
Answer:
idk but i can tell you another site if you still need help,
QUIZLET
Step-by-step explanation:
Answer:
x=17 degrees
Explanation:
Its the same angle as 17 degrees
What is the midpoint of the segment shown below?
10
A. (10,1)
B.(5,1)
c.(5,1/2)
d. (10,1/2)
2.) Your parents drove 300 miles in 6 hours. At what speed (miles per hour) were they driving?
Answer:
50 mph
Step-by-step explanation:
300 / 6 = 50
you can check this by setting up the equation,
6 x 50 = 300
So with this being said, you can conclude that your parents are driving a 50 miles per hour.