The derivative of the given equation is x = −3√2 ≈−1.259921049894873.
What is a derivative?In mathematics, the derivative is the rate of variation of a function given respect to a variable. Derivatives are essential for solving calculus related differential equation issues.
What exactly is a derivative in calculus?The derivative is defined as the slope of a straight line that is tangent towards the curve at a certain location. An additional derivative definition is the limit of the function's instantaneous rate of evolution as the time between observations approaches zero. activity, such as currency and interest rate risk, for a set length of time.
What is the significance of studying derivatives?It is significant because many physical phenomena, such as velocity, acceleration, and force, are defined with an instantaneous rate of change of some other quantity.
According to the given data:Given :
9x^2(1+2x^-3).
= [tex]9\left(\frac{2}{x^3}+1\right) x^2[/tex]
= [tex]\frac{\mathrm{d}}{\mathrm{d} x}\left[9\left(\frac{2}{x^3}+1\right) x^2\right][/tex]
= [tex]=9\left(\frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{2}{x^3}+1\right] \cdot x^2+\left(\frac{2}{x^3}+1\right) \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[x^2\right]\right)[/tex]
= [tex]=9\left(\left(2 \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{1}{x^3}\right]+\frac{\mathrm{d}}{\mathrm{d} x}[1]\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(\left(2(-3) x^{-4}+0\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(2\left(\frac{2}{x^3}+1\right) x-\frac{6}{x^2}\right)[/tex]
= [tex]=18\left(\frac{2}{x^3}+1\right) x-\frac{54}{x^2}[/tex]
= [tex]\frac{18 x^3-18}{x^2}[/tex]
x = −3√2 ≈−1.259921049894873.
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Manny took home a couple of his friends after soccer practice. He originally had 5 gallons of gas in his car. He used 1.03 gallons of gas to take one friend home and four fifths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?
1.04 gallons
3.17 gallons
5.8 gallons
6.03 gallons
Answer:
3.17
Step-by-step explanation:
got dat big brain
Factor the expression by factoring out the greatest common factor
32z18+8z11+12z7=
What is 61 lb to g?
What is 0.11 m^3 to kg
Answer:
1. 27669.1 g
2. 110 kg
Alonzo found three pieces of cable in his tool drawer. Here are their lengths (in meters).
16, 13.13, 9.7
What is the total length of the three pieces?
Given details in question are as follows :
Alonzo found three pieces of cable in his tool drawer.
Their lengths (in meters) are 16, 13.13, 9.7
What is an addition in maths?The addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum.
The Sum of all the numbers in this question is 16+13.13+9.7
=38.83
Alonzo found three pieces of cable in his tool drawer, the total length of the three pieces is 38.83
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The information that is in question is as follows:
Three cables were located by Alonzo in his tool chest.
16, 13.13, and 9.7 meters are their lengths.
What does a math addition mean?
By combining objects, we can count them as a single huge group by adding them. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
16+13.13+9.7 is the total of all the numbers in this question.
=38.83
Alonzo discovered three cables totaling 38.83 inches in length in his tool drawer.
Five more than the quotient of a number and 3 is 7
Answer:
y/3 + 5 = 7
Step-by-step explanation:
Five more would mean plus five, and in these types of equations you work almost backwards. So if you but +5 in your answer, you need to add the quotient, dividing(/) by 3, and the unknown number is y. so your finial equation would read, y divided by 3 plus 5 is equal to 7 (y/3 + 5 = 7) Hope this was helpful!
How many pounds of a chicken feed that is 40% corn must be mixed with 270 lb of a feed that is 80% corn to make a chicken feed that is 70% corn?
We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.
How many chicken feed must be added to a given blend?
In this problem we have to prepare a chicken feed with a given concentration by blending two chicken feeds with different concentration. The addition of chicken feed needed can be determined by weighted averages:
(70 / 100) · (270 + x) = (80 / 100) · 270 + (40 / 100) · x
0.7 · (270 + x) = 0.8 · 270 + 0.4 · x
189 + 0.7 · x = 216 + 0.4 · x
0.3 · x = 27
x = 90
We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.
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A pattern defines the relationship between the first two terms. Determine the relationship and identify the missing term of the second pair, such that both pairs are analogous. AGD : EKH :: IOL :
The missing term of the second pair, such that both pairs are analogous is WKPA.
How to explain the information?For the first two terms, S is 1 letter before Q,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.
For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.
Therefore, the correct option is D.
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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA
Please help with work shown (Geometry)
Answer:
RS= 45
Step-by-step explanation:
According to the rules of the triangle...
RS = RQ
A circle has a circumference of 25. Find the length of an arc whose central angle is 50
Answer:
19.625 units
Step-by-step explanation:
[tex]\text{ Arc length } = 2 \pi r \times \frac{\theta}{360}[/tex]
Substituting the given values,[tex]\begin{gathered}\text{Arc Length } = 2\times 3.14 \times 12.5 \times \frac{50}{360}\\\\\text{Arc length } = 78.5 \times \frac{1}{4}\\\\\text{Arc Length } = 19.625\end{gathered}[/tex]
Thus length of arc is 19.625 units
PLS HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
it A because if u apply pressure the molecules will be cramped
Step-by-step explanation:
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Equity? Specify as a whole number.
The total equity of the company for the year ended is $43,900
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
Having determined the retained earnings closing balance, the total equity , common stock plus the closing balance of retained earnings
Total equity=$20,000+$23,900
Total equity=$43,900
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Taliba has $31 to spend ordering some new phone cases. Each phone case costs $4, and there is also a $7 shipping charge. How many phone cases, n, can Taliba buy?
A file that is 289 MB is being downloaded. If the download it is 14.1% complete, how many megabytes have been downloaded?
On this question I’m supposed to round to the nearest 10th
Answer:
40
Step-by-step explanation:
A quarterback is sacked for a loss of 7 yards. On the next play, his team loses 12 yards. Then the team gains 5 yards
on the third play. Write an expression to represent the word problem. What is the total number of yards lost or gained?
The total number of losses is 14.
What are expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.So, let the total number of lost and gains be 'x'.
Then, the expression:
-7 - 12 + 5 = x- 19 + 5 = x-14 = xSo, x has a value that is negative so it is a loss.Therefore, the total number of losses is 14.
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What is the result, when the decision is to reject a null hypothesis
The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.
What is the null hypothesis?The observed difference is thought to be the sole product of chance, which is the underlying premise. Statistical testing can be used to calculate the likelihood that the null hypothesis is true.
As part of hypothesis testing, the null hypothesis is a made-up assertion that is intended to see if it can be rejected. It is incorrect to draw the conclusion that a result supports the null hypothesis when it is not extreme enough to do so.
This is because the research hypothesis is true, but the result in the particular sample was not extreme enough to enable the null hypothesis to be rejected.
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is 1 15/61 a rational number?
Find the value of x in the following
1101 base two + x base two + 11001 base two = 111 base two
The value of x is -101001 using the base-2 system.
What is a binary number?
A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It uses the symbols 1 and 0 to represent different numeric values (zero). The positional notation with 2 as a radix is known as the base-2 system.
Given:
1101₂+x₂+11001₂=111₂
To find the value of x.
First, we'll write the binary numbers and multiply each digit of the binary numbers by the corresponding power of two:
1101₂+x₂+11001₂=111₂
(1×2³+1×2²+0×2¹+1×2⁰) + x₂ + (1×2⁴+1×2³+0×2²+0×2¹+1×2⁰) = (1×2²+1×2¹+1×2⁰)
Now, solve the powers.
(8+4+0+1) + x₂ +(16+8+0+1) = (4+2+1)
Simplifying we get,
13+x₂+25=7
x₂=7-48
x₂=-41
Using binary converter, we get the value of x as -101001.
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From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided
The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
We know that the method to find the axis of the symmetry of the parabola is given by:
x = - b / 2 a
We have the general equation of the parabola as:
y = a x² + b x + c
We have the equation of the parabola as:
y = - 4 x² + 24 x - 35
Comparing from this equation, we get that:
a = - 4
b = 24
c = - 35
Now, substituting the values, we get that:
x = - 24 / 2 (- 4)
x = - 24 / - 8
x = 24 / 8
x = 3
Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
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12. A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million. What is the value
of any personal property of the shareholders that can be taken to pay
the settlement? Explain.
vo sv.
wested... the
od oqually by 13 partners is worth $1.3 million.
Final answer : Shareholders' personal property cannot be taken to settle the company
Definition : A company is treated as a person with the legal capacity to enter into a contractual obligation, own properties, sue or be sued. A company uses a common seal as its signature and any documents bearing company seal are legally enforceable.
Given Data:
A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million.
To find :
What is the value of any personal property of the shareholders that can be taken to pay the settlement?
Solution:
shareholders' liability is limited.
A shareholder cannot lose more than the value of stock owned in a company.
Shareholders' personal property cannot be taken to settle the company obligation because a company is a different entity from its shareholders.
Main Answer : Shareholders' personal property cannot be taken to settle the company
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please help me human to human its due in an hour I've cried help me
Answer:
The equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.
A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.
Step-by-step explanation:
Hope this helped! :)
Answer:
Step-by-step explanation:
The equation has one solution conditional equation
-6x = 18
-6x/-6 = 18/-6
x = -3
A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18 = 18
-6x = 18
-6(-3) = 18
18 =18
A value of x that makes the equation false is 3, which when substituded into the equation and simplified makes the equation turn into -18 = 18
-6x = 18
--6(3) = 18
-18 = 18
The rectangular floor of a classroom is 40 feet in length and 34 feet in width. A scale drawing of the floor has a length of 20 inches. What is the area, in square inches, of the floor in the scale drawing?
Step By Step: Okay, so we have that. The Rectangular four of the classroom is 36 x 32 ft. And we have a skilled drawing where the length is nine, and I'm guessing who you want to know or with to find the area. So we'll equate this to 36 ft Over 32 ft. So first we'll cross multiply nine and 32 and divide by 36 to find X or with. So thus we have nine times eight inches Equalling 72" squared. And so that's the area of the floor and the scale drawing.
If BC= 5x, CD = 8, and BD = 7x, what is BD?
Answer: 28
Step-by-step explanation:
5x + 8 = 7x
2x = 8
x = 4
BD = 7x
BD = 7(4)
= 28
given the rule what is the new coordinate? Show all of your work. rule: (x, y) -> (x-7.5, y+6.8) original coordinate: (5, 3)
The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)
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The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 80 ft/sec?
5,152 feet
99.4 feet
71.8 feet
1.5 feet
The object is dropped at a initial height of 99.4 feet. (Correct choice: B)
What is the final velocity of a falling object?
Herein we find the case of a specific object under free fall motion, that is, due to gravity and neglecting effects from air viscosity and Earth's rotation. The kinematic equation is presented below:
v = √(2 · a · h) (1)
Where:
v - Final velocity, in feet per second.a - Acceleration, in feet per square second.h - Initial height, in feet.If we know that a = 32.2 ft / s² and v = 80 ft /s, then the initial height of the object is:
80 = √(2 · 32.2 · h)
80 = √(64.4 · h)
80² = 64.4 · h
h = 80² / 64.4
h = 99.379 ft
The object is dropped at a initial height of 99.4 feet. (Correct choice: B)
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Given mn, find the value of x.
(2x-16)°
(4x+4)°
Answer:
x = 32
Step-by-step explanation:
Since m||n and the angles formed are on the same transversal, the angles are corresponding angles i.e. their sum adds up to 180°
Using given data
2x - 16 + 4x + 4 = 180
==> 6x - 12 = 180
==> 6x = 180 + 12 (by adding 12 on both sides)
==> 6x = 192
x = 192/6
x = 32
Find the coordinates of J if K (-5,10) is the midpoint of JL and L has coordinates of (-8,6)
Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing?
The width of the picnic area in scale drawing is 91 inches.
How to find the width of the picnic in scale drawing?The scale of the drawing was 13 inches : 6 yards.
The picnic area is 42 yards wide in real life.
The width of the picnic area in drawing is as follows:
Therefore,
6 yards = 13 inches
42 yards = ?
cross multiply
Hence,
width of the picnic in the scale drawing = 42 × 13 / 6
width of the picnic in the scale drawing = 546 / 6
width of the picnic in the scale drawing = 91
width of the picnic in the scale drawing = 91 inches
Therefore, the width of the picnic area in scale drawing is 91 inches.
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Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.
12 + 18
Answer:
GCF = 6
The original sum rewrites to 6(2+3)
=================================================
Explanation:
Notice we have these factorizations
12 = 6*2
18 = 6*3
Which shows that 6 is the greatest common factor (GCF)
So,
12+18 = 6*2+6*3 = 6*(2+3)
We use the distributive property which is a(b+c) = ab + ac
I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.
help pleaseeeeeeeeeeeeeeeeeeee !!
Answer:
g(x) = x² + 8x
x + 4
if x = -6 (replace x with -6 )
Using the formula above
g(-6) = -6² + 8(-6)
-6 + 4
= 36 - 48
-2
= -12
-2
(minus cancels each other)
Answer = 6
Remember you can always use a calculator to check (I'm using also)
Hope this helps xoxo :-)
Explanation? I’ll give brainliest
Answer:
Step-by-step explanation:
you add all of that up and you get your answer then you subtract that answer to 100 then that’s your answer.
Answer:
First what you want to do is start with the socks.
Socks cost $9.00 so if he is buying 3 pair you would multiply by 3.
9 times 3 is 27. = $27
He bought 2 belts and the belts cost $10.00 so you would multiply that by 2.
10 times 2 is 20. = $20
He bought 1 hoodie which amounts to $29.99 and a pair of shoe laces that amounts to $1.50.
Now what you do is add all thew prices together.
$27 + $20 + $29.99 + $1.50 = $78.49
Final, since he is paying with a hundred dollar bill you want subtract that from the total amount.
$100 - #78.49 = $21.51
So he would get back a total of $21.51.
Step-by-step explanation:
Hope it helps! =D
