Answer:
[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]
Step-by-step explanation:
we would like to figure out the derivative of the following:
[tex] \displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]
to do so, let,
[tex] \displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]
By simplifying we acquire:
[tex] \displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} } [/tex]
use law of exponent which yields:
[tex] \displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} } [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )[/tex]
use sum derivation rule which yields:
[tex] \rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]
By constant derivation we acquire:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]
use exponent rule of derivation which yields:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )[/tex]
simplify exponent:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )[/tex]
two negatives make positive so,
[tex] \displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3} [/tex]
further simplification if needed:by law of exponent we acquire:
[tex] \displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3} [/tex]
simplify addition:
[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]
and we are done!
A jar contains 21 brown and 19 blue marbles. A marble is drawn at random. What is the theoretical probability of drawing a blue marble? P(blue) = 63.3% P(blue) = 47.5% P(blue) = 2.5% P(blue) = 19% P(blue) = 52.5%
Answer:
The answer would be the 1st one.
Step-by-step explanation:
When you use a percentage calculator or look it up, you can shay 40 as a percent of 19 and the answer will be 47.5%. You could also divide and get your answer that way as well.
Hope that helps! If you get it wrong, please tell me so I could check my work. Have a great rest of your day :)!
A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards?
Required:
a. Carry out a hypothesis test using& significance level of 0.01.
b. State the appropriate null and alternative hypotheses.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Test statistic:
[tex]t=\frac{(825-905)}{\frac{205}{\sqrt{(500)}}}[/tex]
[tex]=\frac{(-80)}{\frac{205}{22.36}}\\\\=\frac{(-80)}{9.16}\\\\=-8.73[/tex]
Let the p-value=0
We reject H0 because of the p-value <0.01. We have evidence that college kids who pay their credit card bills in full per month have a mean balance of less than $905.
x - 3x² + 4 = 0 find x value
what is the value of s?
Answer:
[tex]\huge{\boxed{\boxed{\tt { ✍ Answer :- }}}} \ [/tex]
Both the angles together form 90°
One angle = 29°
Other angle (s) = ?
[tex]s = 90 - 29 \\ s = 61[/tex]
✎ Value of s = 61°
which one doesn't belong fractions answers 1/4 , 40% , 3/2 , or 1/6
Answer:
40%.
Step-by-step explanation:
-1/4, 3/2, and 1/6 are fractions, but 40% is not.
analyzing distance and time
Answer:
I don't no the answer sorry
Emilio is drawing a graph that shows the weight of a baby elephant during the first 6 months of its life. What is the meaning of the point shown on the graph?
Ruby's Weight
A graph has age (months) on the x-axis, and weight (pounds) on the y-axis. A point is at (1, 80).
Using the function concept, it is found that the meaning of the point is that the weight of the elephant during the first month is of 80 pounds.
What is a function?In a function, represented by a set of ordered points (x,y), one value of the input x can be related to only one value of the output y.
In this problem, x is the age in months, while y is the weight in pounds, hence the meaning of point (1,80) is that the weight of the elephant during the first month is of 80 pounds.
More can be learned about the function concept at https://brainly.com/question/12463448
Someone please help! No link answer please :(
Answer:
55 degrees (a)
Step-by-step explanation:
complementary means they equal 90 degrees
so 90-35= 55 degrees
Min mows lawns to earn money. The points in this
graph represent the total amount of money Min earns
based on the number of hours he mows
lawns.
Min wants to purchase a skateboard that costs
$54.
How many hours does Min need to mow lawns to earn
enough money to buy the skateboard?
A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours
Answer:
9
Step-by-step explanation:
if you can actually see the graph the numbers go up by six.
6, 12, 18 and so on all the way to 6 x 5 which is 30 on the chart then you visualize off of the chart trying 6x6 6x7 6x8 and 6x9 until you get the answer of 54 the money price.
PLEASE HELP ME! Tysm <3 Have a Wonderful Day. The image is below.
Answer:
All apply
Step-by-step explanation:
its asking which aboslute value is less than the absolute value of 14
when you substitute each one it becomes
12<14
0<14
5<14
all make true statements
An airplane flies with a constant speed of 680 km/h. How long will it take to travel a distance of 1700 kilometers? Write an equation (I give brainliest!)
Answer:It will take the airplane 2.5 hours 2 hrs and 30 mins.
Step-by-step explanation:
1700/680= 2.5
so its 2.5 hrs
Please help me with this system of equations problem. No virus links of any kind.
Answer:
The company's expenses and sales will both total $2944 once they have sold 736 oz of links
Step-by-step explanation:
cost: y = 736 + 3x
revenue: y = 4x
y = y, so using substitution
4x = 3x + 736
x = 736
They will therefore need to sell 736 oz of links, and when plugging in 736 as x into both the equations:
y = 736 + 3(736) = 2944
y = 4(736) = 2944
Answer:
system of equations problem
3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places
Answer:
A
Step-by-step explanation:
2.The marked price of television is Rs2000.If 13 percentage tax was levied, after allowing 10 percentage discount, find the final price.Single choice.
(2 Points)
Answer:
Final price = $2034
Step-by-step explanation:
Given the following data;
Marked price = $2000
Tax = 13%
Discount = 10%
To find the final sales price;
First of all, we would calculate the discount price
Discount price = 10/100 * 2000
Discount price = 20 * 10 = $200
New Price = marked price - discount price
New Price = 2000 - 200 = 1800
Next, we calculate the tax on the product;
Tax = 13/100 * 1800
Tax = 0.13 * 1800
Tax = $234
Finally, we would determine the final price;
Final price = marked price + Tax
Final price = 1800 + 234
Final price = $2034
1 Bradley is building a table
and wants the tabletop's area
to be no more than 196 in2.
If the length of the frame will
be 16 inches, what are the
possible widths of the
frame?
Answer:
Step-by-step explanation: < 180
(QUICK RESPONSE!)
Under a dilation of the point P(12, 10) is P (6,5).Choose the general rule that describes the dilation mapping point P to point pl.
f Step-by-step explanatin
so you add the thing and you add this thing
stu pid i d i o t
I need help ss is below
Answer:
9± √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this helps u!!
The following playing cards are used in a game. What is the probability of not selecting a prime number?
1,2,3,4,5,6,7
Answer:
3/7
Step-by-step explanation:
1,2,3,4,5,6,7
The word problem is asking the PROBABILITY OF NOT SELECTING A PRIME NUMBER.
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
There are 7 numbers in this data set. Of the seven numbers, four are prime numbers, three of them are not.
Therefore, the probability of not selecting a prime number is 3 in 7, or 3 out of 7 (3/7).
Please and thank you....
What are the y intercepts for each graph?
Answer:
885-180 on both
Step-by-step explanation:
it says y on top
hope it helps :)
Please help and explain, I’ll mark you as brainiest
wild touring the city Bernie buys lunch for his family from a food truck he purchase more Taco for 2.75 and four cheeseburgers if he spent a total of 23.75 how much was each cheeseburger
Answer:
Each cheeseburger was $5.25.
Step-by-step explanation:
He purchased:
A taco for $2.75.
Four cheeseburgers, each for x.
In total, he spent $23.75.
How much was each cheeseburger?
This is the value of x. We have that:
[tex]2.75 + 4x = 23.75[/tex]
[tex]4x = 21[/tex]
[tex]x = \frac{21}{4}[/tex]
[tex]x = 5.25[/tex]
Each cheeseburger was $5.25.
Of the 650 student at westmoreland junior high, 80% will attend the field trip. How many student will attend the field trip?
Answer:
520 students will attend
Step-by-step explanation: sorry forgot to explain. An easy way to do it is to multiply the number your using (650) x the percentage (80%) here's an example: 60% of 1,005 multiply 60 x 1005 = 603
603 is 60% of 1005. ;D
Answer: 520
Step-by-step explanation: A way to find even percentages (10%, 20%, etc) is to take 10% of the original number, in this case, it would be 65, and then multiply it by the first number in the percentage. In this case, it would be;
65 x 8 = 520
Hope this helps!
Which angle is supplementary to CFD?
Answer:
∠DFA or can be written as AFD : ( as long as the vertex F is in the middle)
Step-by-step explanation:
Supplementary angles are angles when added together form a straight line (180°)
CFD makes a small part of that straight line and DFA (AFD) make up the other part
What is the volume of the regular pyramid below?
Find the measure of angle θ, to the nearest tenth.
A)48.0o
B)42.0o
C)26.0o
D)52.6o
Solving steps for 2x + 14 = 34 ? I know the answer but it's asking me to label the steps
Answer:
2x+14=34
Step-by-step explanation:
Subtract 14 from both sides
2x=20
Divide by 2 on both sides
Hope this helps :)
Drag the tiles to match each measurement with an equivalent measurement.
8 quarts 1 cup 1 gallon 12 cups
Measurement Equivalent Measurement
6 pints
16 pints
8 fluid ounces
8 pints
Answer:
Measurement Equivalent Measurement
6 pints 12 cups
16 pints 8 quarts
8 fluid ounces 1 cup
8 pints 1 gallon
Step-by-step explanation:
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Measurement Equivalent Measurement
6 pints 12 cups
16 pints 8 quarts
8 fluid ounces 1 cup
8 pints 1 gallon
Which angles are adjacent to DFE?
Select all that apply.
9514 1404 393
Answer:
(c) ∠BFD
Step-by-step explanation:
Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.
1. True or false:
The ordered pair (3, 4) is a solution for the equation:
5x + 2y = 23
2. True or false:
The ordered pair (0, 4) is a solution for the equation:
5x + 2y = 23
1) true
2)false
Step-by-step explanation:
1) 5(3)+2(4) = 23
= 15+8=23
23=23
thus, (3,4) is solution for 5x + 2y = 23
2) 5(0)+2(4) =23
= 0+8 is not 23
thus, (0,4) is not solution for 5x + 2y = 23
What is the area of this figure? 6 m 14 m 4 m 20 m 4 m 12 m 6 m
Answer:
what figure
Step-by-step explanation: