Answer:
12 students didnt turn in a extra credit project at the end of the semester.
Step-by-step explanation:
Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true
Answer:
8 tsp purple : 3 tsp pink
Step-by-step explanation:
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
I need help with my math homework. It would mean a lot to me if someone coupd explain it. Ill type the directions. It says: Using the graphs below, write the linear equation of the line in slope intercept form (use format: no spaces, y=mx+b) ansaers and earn pixels for correct answers. Answer all 18 problems correctly to reveal the pixel art image. Here are the graphs I need to do. Please help me out if you can. I will make another question on my account so I can add more pictures of the graphs because I can only do five on here.
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .
Answer:
88
Step-by-step explanation:
8-1=7
+3
18-8=10
+3
31-18=13
+3
47-31=16
+3
66-47 = 19
+3
x - 66 = 22
+66 +66
x= 88
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)
Answer:
Option A "4(-7k+16k+3)" would be the appropriate choice.
Step-by-step explanation:
On solving the equation, we get
⇒ [tex]4(-7k+16k+3)[/tex]
On applying BODMAS rule, we get
⇒ [tex]4(9k+3)[/tex]
Therefore,
⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]
All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.
Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which were regular what percentage of a coffee were regular
9514 1404 393
Answer:
60%
Step-by-step explanation:
Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...
48/80 × 100% = 60%
60% of the 80 coffees served were regular.
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Could u help me !! Plz I will gave Brainliest
Answer:
1.) 120.722222206 or 120.72
2.) 650.250000382 or 650.25
Step-by-step explanation:
7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?
Answer:
u
Step-by-step explanation:
HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1.
The number –6 is less than 0.
Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.
Answer:
Number of students who do not know = 24
Step-by-step explanation:
Year II students = 240
15% of the students want to go to college.
Number of year II students who wants to go to college = 15% of 240
= 15/100 × 240
= 0.15 × 240
= 36
¾ of the students want to stay at school.
Number of students who wants to stay at the school = 3/4 × 240
= (3 × 240) / 4
= 720 / 4
= 180
Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school
= 240 - 36 - 180
= 24
Number of students who do not know = 24
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
find the x in the given triangle, step by step explanation please
Answer:
x = 42.67
Step-by-step explanation:
x + 2x + 7 + 45 = (3 - 2) * 180
3x + 52 = 180
- 52 - 52
3x = 128
/ 3 / 3
x = 42.67
Determine which situation could be represented by the system of linear equations given below
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Step-by-step explanation:
1st digit : 1 / 2 / 4 / 5
4th digit : 0 / 2 / 4 / 6 / 8
Total number of sets = 4 * 10 * 10 * 5 = 2000.
I need help!!!!
Answer:
A. 1.50 dollars per kilogram
B. 1.80 dollars per kilogram.
C. 2.10 dollars per kilogram
D. 2.40 dollars per
kilogram.
Answer:
The average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Step-by-step explanation:
From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.
The price of 100 kg cumin = $450
The price of 600 kg cumin = $1650
so
at x₁ = 100, f(x₁) = 450
at x₂ = 600, f(x₂) = 1650
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [1650 - 450] / [600-100]
= 1200 / 500
= 2.4
Therefore, the average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Please help will mark as brilliant<3
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
what is 1+1, please answer
Answer:
Your answer is 2.
Step-by-step explanation:
You use the normal way of adition.
1
+1
___
2.
Hope this helps!
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?
Answer:
4/15~15.5
Step-by-step explanation:
In a right triangle, the sum of the squares of the
lengths of the legs is equal to the square of the length
of the hypotenuse. The length of the hypotenuse is 16
and the lengths of the legs are 4 and x.
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?
Answer:
Step-by-step explanation:
8.00/12= $0.60 a piece
exposed clout chaser
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years?
Answer:
The answer would be 31,737 elks.
Step-by-step explanation:
You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.
I hope this helps
-6m - 1 = -31
m = ___
please show work
ANSWER:
M = 5
Step 1: Add 1 to both sides of the equal sign
-6m-1+1=31+1
-6m=-30
Step 2: Divide both sides by -6
-6m/6 = -30/-6
(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)
Please hurry, best answer gets brainly