Answer:
-2x^10
Step-by-step explanation:
-8x^7 x^3/4 - -8x^10/4
Find the derivative
Answer:
[tex]\displaystyle f'(x) = \frac{-3}{2\sqrt{2 - 3x}}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
Expanding/FactoringFunctions
Function NotationCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Differentiation
DerivativesDerivative NotationDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = \sqrt{2 - 3x}[/tex]
Step 2: Differentiate
Substitute in function [Definition of a Derivative]: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{\sqrt{2 - 3(x + h)} - \sqrt{2 - 3x}}{h}[/tex]Expand: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{\sqrt{2 - 3x - 3h} - \sqrt{2 - 3x}}{h}[/tex]Rationalize: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{\sqrt{2 - 3x - 3h} - \sqrt{2 - 3x}}{h} \cdot \frac{\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x}}{\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x}}[/tex]Simplify: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{2 - 3x - 3h - (2 - 3x)}{h(\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x})}[/tex]Expand: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{2 - 3x - 3h - 2 + 3x}{h(\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x})}[/tex]Combine like terms: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{-3h}{h(\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x})}[/tex]Simplify: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{-3}{\sqrt{2 - 3x - 3h} + \sqrt{2 - 3x}}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle f'(x) = \frac{-3}{\sqrt{2 - 3(0) - 3h} + \sqrt{2 - 3x}}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{-3}{2\sqrt{2 - 3x}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Jason completed 1 crosswords on Tuesday and 1 crosswords on Saturday
in total what fraction of these crosswords did Jason finish?
The question is incomplete as the total number I crosswords required for completion isn't given :
Hypothetically, if the total Number of cross words is taken as x ;
Answer:
2 /x
Step-by-step explanation:
The number of crosswords John did = 1 + 1 = 2
Total number of cross words = x
Fraction of crosswords John did :
2 / total number of crosswords
2 / x
Kindly substitute the actual number of crosswords for X to obtain exact answer.
The following data values represent a population. What is the variance of the
values?
6, 10, 14,2
A. 16
B. 8
C. 10
D.20
Answer:
D is the correct answer.......
Helen rented a kayak at the lake there is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the kayak if the total charge is $21 how many hours did she kayak
Answer:
Helen kayaked for five hours.
Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.
Please answer this ASAP. I really need it and please explain your answer
No links please
Answer:
31 square units
Step-by-step explanation:
The 4 sectors to be cut out are 4 quarters of a circle = 1 full circle
Length of square = 12 units
The radius (r) of the circle = ½ of the length of the square = ½(12) = 6 units
Area of the shaded region = area of the square - area of the circle/4 sectors)
= s² - πr²
s = 12 units
r = 6 units
Plug in the values
Area of the shaded region = 12² - π*6²
= 144 - 113.1
≈ 31 square units (nearest square units)
The solutions to the system is
3/4-2/3=what does it equal
Answer:
1/12
Step-by-step explanation:
[tex] \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} [/tex]
Help me out please ???
9514 1404 393
Answer:
(1, 2)
Step-by-step explanation:
PR and QR are vertical and horizontal line segments, respectively. Then ΔQPR is a right triangle, and segment PQ is the hypotenuse. As such, segment PQ is also a diameter of the circumcircle, and its midpoint is the circumcenter.
Circumcenter = (P+Q)/2 = ((4, 0) +(-2, 4))/2 = (2, 4)/2
Circumcenter = (1, 2)
What would be x please help me
Answer:
[tex]18.83[/tex]
Step-by-step explanation:
For right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan 33^{\circ}=\frac{x}{29},\\x=29\tan 33^{\circ}\approx \boxed{18.83}[/tex]
si tengo 6 burros regalo 3 y me dan 3 cuanto tengo
Answer:
6
Step-by-step explanation:
(6-3)+3=6
what is the volume of the composite figure page 512 chapter 11 4
\sqrt[4]{2}=2^{\frac{1}{4}}
Answer:
[tex] \sqrt[4]{2} = 2 ^{ \frac{1}{4} } = 1.189207[/tex]
Answer:
True: Both sides are equal
Step-by-step explanation:
1. [tex]\sqrt[4]{2}=2^{\frac{1}{4}}[/tex]
2. [tex]2^\frac{1}{4}=2^\frac{1}{4}[/tex]
3. [tex]\frac{1}{4} = \frac{1}{4}[/tex]
They are Equal, So it true
So there are infinitely many solutions.
A ladder that is 15 feet long is leaning against the side of a building. If the angle formed between the ladder and the ground is 70 degrees, how far is the bottom of the ladder from the building?
Answer:
need help too
Step-by-step explanation:
Answer:
5.13 feet...take the horizontal component using given data..
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related. Develop a 90% confidence interval for the population proportion of all such firms with this as the primary motivation. (2 points) (Answers should be in percentage form. Round answers to 2 decimal places)
Answer:
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.
This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]
As percent:
0.6996*100% = 69.96%
0.8004*100% = 80.04%.
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
How many solutions does the equation y + 3y - 6 = -2 + 4y + 4 have?
A. One solution
B. no solution
C. infinite solutions
[tex]\huge{ \mathrm{ \underline{question : }}}[/tex]
How many solutions does the equation have ?
y + 3y - 6 = -2 + 4y + 4
[tex]\huge{ \mathcal{ \underline{ Answer \: \: ✓ }}}[/tex]
The given equation has
[tex] \\ \\ \\ \\ \\[/tex]
B. [tex]\boxed{No \: \: solution}[/tex]
[tex]\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\[/tex]
[tex]\#TeeNForeveR[/tex]
A group of students are surveyed about which movie they prefer.
movie a :14
movie b : 9
movie c : 5
movie d : 3
What is the probability that a student prefers Movie A?
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
IM just a little bit slow
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
[tex]31 - 3x + 19x - 5 = 90[/tex]
To make this problem easier to solve, we can combine like terms.
[tex]26 + 16x = 90.[/tex]
Now, we can proceed.
First, subtract 26 from 26 and 90.
[tex]26 - 26 = 0.[/tex] (cancels itself out).
[tex]90 - 26 = 64.\\[/tex]
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
[tex]64/16 = 4[/tex]
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
[tex]19x - 5[/tex]
[tex]19 * 4 - 5 = 71.[/tex]
Therefore, the value of ∠R is 71°.
The graph of a proportional relationship and an equation are shown.
What is the greater unit rate?
Answer:
Graph has the greater unit rate.
Step-by-step explanation:
From the graph attached,
Since, graph shows the proportional relationship,
y ∝ x
y = kx
Here, k = unit rate
If the line given in the graph passes through (0.2, 1.5)
Slope of this line will be,
k = [tex]\frac{1.5}{0.2}[/tex]
k = 7.5
Therefore, unit rate = 7.5
Equation of the line given in the question is,
[tex]y=\frac{11}{2}x+3[/tex]
Comparing this equation with the y-intercept form of the equation,
[tex]y=mx+b[/tex]
Slope of this line 'm' = [tex]\frac{11}{2}[/tex]
= 5.5
Unit rate of the given equation = 5.5
Therefore, graph has the greater unit rate.
30 points!!!!!! please help quick!!!!
Answer:
Attachment: 1 Image
Step-by-step explanation:
Which of the following coordinates is located in Quadrant I?
(-3,-4)
(-1,2)
(4,6)
O
(2,-1)
Answer:
(4,6)
Step-by-step explanation:
quadrant 1 always has positive coordinates so the only one with all positive coordinates is (4,6)
Solve for c.
a(c+b) = d
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
Find the volume of a cube of edge 20 cm
Answer:
8000cm^3
Step-by-step explanation:
edge(a)= 20cm
volume of cube = a^3
= 20^3
=8000 cm^3
Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
Answer:
Hi, I believe this is reflection then rotation. I haven't studied this in some time but from what I remember I think that would be the right answer. I hope I helped, have a nice day :)
Answer:
Reflection, then translation.
Step-by-step explanation:
1 flips to the other side to create 2 and 2 slides, or translates, to create 3.
The summer in Maine is hot and sunny. identify the negation of the given proposition.Multiple ChoiceThe summer in Maine is hot but not sunny.It is not the case that the summer in Maine is not hot or it is not sunny.The summer in Maine is either not hot or it is not sunny.The summer in Maine is not hot but sunny.
Answer:
The summer in Maine is either not hot or it is not sunny.
Step-by-step explanation:
Suppose we have two events, A and B.
The negation of A and B is not A or not B.
The summer in Maine is hot and sunny.
Negation of hot an sunny is not hot or not sunny, so the correct option is:
The summer in Maine is either not hot or it is not sunny.
math question????????
Answer:
Answer C
Step-by-step explanation:
Answer:
answer c
Step-by-step explanation:
trust me
PLEASE ANSWER!!! Express tan R as a fraction in simplest terms.
Answer:
tan R = 9/19
............
The value of the trigonometric relation tan R = 9/19
What are trigonometric relations?Trigonometry is the study of the correlations between triangle angles and side lengths.
Sine, cosine, tangent, cosecant, sec, and cotone are the six trigonometric functions.
Let the angle be such that sin = opposed to the hypotenuse, cos = next to the hypotenuse, and tan = opposite to the adjacent. Cosec = 1/sin, sec = 1/cos, cot = 1/tan.
Given the data,
Let the triangle be denoted by the symbol RST.
Now, the triangle's other side ST equals nine units.
The triangle's base, RS, is equal to 19 units.
Moreover, the trigonometric relationship is tan R, where R has a value of
The result of substituting the values in the equation is
According to the trigonometric relationship, tan equals opposite or adjacent.
Tan R = ST / RS is the result of simplifying the equation.
tan R = 9 / 19
The trigonometric relationship is therefore tan R = 9/19.
Go here to find out more about trigonometric relationships.
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find 3/5% of $90,000
Need help with this question ♀️
Answer: f (t) = 200 . 0.88t =
Let's solve for f.
ft=(200)(0.88)t
Step 1: Divide both sides by t.
ft
t
=
176t
t
f=176
Answer:
f=176
Step-by-step explanation: