Answer:
[tex]\frac{dy}{dx} = (lnx)^{cosx } \cdot [\frac{cosx }{ln x} \cdot \frac{1}{x} - sin x ( ln ( ln x)) ][/tex]
Step-by-step explanation:
[tex]y = (ln x)^{cosx}\\ln y = cos x (ln ( ln x)) \\[/tex] [tex][ taking \ logarithm \ on \ both \ sides ][/tex]
[tex]\frac{1}{y} \frac{dy }{dx} = \frac{cosx }{ln x} \cdot \frac{1}{x} + ln ( ln x) (-sin x)[/tex] [tex][Chain rule : uv = u \frac{dv}{dx} + v \frac{du}{dv} ][/tex]
[tex]\frac{dy}{dx} = y \times [\frac{cosx }{ln x} \cdot \frac{1}{x} - sin x ( ln ( ln x)) ][/tex]
[tex]\frac{dy}{dx} = (lnx)^{cosx } \cdot [\frac{cosx }{ln x} \cdot \frac{1}{x} - sin x ( ln ( ln x)) ][/tex] [tex][ substituting \ the \ value \ of \ y][/tex]
Lynn multiplies 7/8 Times a number the product is less than 7/8 which could be Lynn's number
Answer: 6/8 <;3..?
Step-by-step explanation:
if you have one kilogram=2.2 pounds does a 3 kilogram roast beef weight more or less than 6 pounds
4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms
Answer:
12x+19
Step-by-step explanation:
First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get 19. You then combine your two answers to get 12x+19.
Answer:
12x + 19
Step-by-step explanation:
Add the exponents and then add the numbers.
d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is
Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)
Step-by-step explanation:
Let's start by putting it in slope intercept form.
First use the distributive property
[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]
Now subtract 6 from both sides
[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]
Now it is in slope intercept form (y=mx+b)
In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.
In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.
To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.
[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]
A point on the line is (0, 3)
find r if 0=pi/6 rad sector 64m^2
Given:
Area of a sector = 64 m²
The central angle is [tex]\theta=\dfrac{\pi}{6}[/tex].
To find:
The radius or the value of r.
Solution:
Area of a sector is:
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle of the sector in radian.
Putting [tex]A=64,\theta=\dfrac{\pi}{6}[/tex], we get
[tex]64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}[/tex]
[tex]64=\dfrac{\pi}{12}r^2[/tex]
[tex]64\times \dfrac{12}{\pi}=r^2[/tex]
[tex]\dfrac{768}{\pi}=r^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{\dfrac{768}{\pi}}=r[/tex]
[tex]16\sqrt{\dfrac{3}{\pi}}=r[/tex]
Therefore, the value of r is [tex]16\sqrt{\dfrac{3}{\pi}}[/tex] m.
HELP ANYONE KNOW THE ANSWER???
[tex] \huge{A.T.Q}[/tex]
[tex]5x - 2y = 4 \\ 2x - y = 1...( \times 2)[/tex]
[tex]5x - 2y = 4 \\ 4x - 2y = 2[/tex]
SUBTRACT BOTH EQUATIONS :-
[tex]x = 4 - 2 = 2[/tex]
PUT VALUE OF X IN SECOND EQUATION:-
[tex]2(2) - y = 1 \\ 4 - y = 1 \\ 4 - 1 = y \\ y = 3[/tex]
i don't understand how to add the fractions
Answer:
5/4 or
1 and 1/4
Step-by-step explanation:
1/2 + 3/4 =
1 × 2
2 × 2 + 3/4
=
2/4 + 3/4
=
2 + 3
----------
4
so
5/4 or
1 and 1/4
umm can u help me bcs well i aint good at math well not really ?
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
Write each as the sum of two terms, each
in the form tn,r.
a) t19,11
b) t25,16
c) t14,7
9514 1404 393
Answer:
a) t18,10 + t18,11
b) t24,15 + t24,16
c) t13,6 +t13,7
Step-by-step explanation:
Each term of Pascal's triangle is the sum of the two terms above it in the triangle:
tn,r = t(n-1),(r-1) +t(n-1),r
__
a) t19, 11 = t18,10 + t18,11
b) t25,16 = t24,15 + t24,16
c) t14,7 = t13,6 +t13,7
Based on the information marked in the diagram, AABC and ADEF must be
congruent.
B
E
AO
+
С
#
F
A. True
B. False
Answer:
a
Step-by-step explanation:
answer
Yes, the triangles are congruent according to the figure.
What are congruent triangles?Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.
Given that are two triangles, we need to check whether they congruent or not,
So, we are given,
BC = EF
AC = DF
∠ A = ∠ D = 90°
Therefore.
Δ ABC ≅ Δ DEF by SSA rule
since, the triangles are congruent by SSA rule,
Hence, the given statement is true.
Learn more about congruent triangles click;
https://brainly.com/question/22062407
#SPJ7
im not sure how to go about this one. any help is appreciated
Answer:
The inequality that represents the graph is:
[tex]y\leq \frac{2}{3}x+2[/tex]
Step-by-step explanation:
First of all, we need to get the equation of the linear function. We need to choose two points using the graph.
The first point would be (-3,0)
The second point would be (6,1)
The equation of a line is:
[tex]y=mx+b[/tex]
m is the slope and can be calculated using the points chossen.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{1+3}{6-0}[/tex]
[tex]m=\frac{4}{6}[/tex]
[tex]m=\frac{2}{3}[/tex]
Now, using one point we will find the b value. Let's chose (-3,0)
[tex]0=m(-3)+b[/tex]
[tex]0=(\frac{2}{3})(-3)+b[/tex]
[tex]0=-2+b[/tex]
[tex]b=2[/tex]
Then, the linear equation is:
[tex]y=\frac{2}{3}x+2[/tex]
Now, all the allowed values are below the function, therefore the inequality will be:
[tex]y\leq \frac{2}{3}x+2[/tex]
I hope it helps you!
For A do I put 4 or put 4^2 (16)?
Answer: a = -4, b = 8, c = 3
This is because the general template is ax^2+bx+c
Matching up the terms gets us what is shown in bold. The x's are not involved as part of a,b,c. We just focus on the numbers in front.
The graph is shown below. I used GeoGebra to make the graph.
What is the value of x?
Answer: x=6
.......................
Answer:
x = 6
Step-by-step explanation:
0.25(Figure A) = Figure B
0.25x = 1.5
x = 1.5/0.25
x = 6
What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
A three-layer chocolate cake costs $24 and serves 16 . What is the cost per slice?
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.50
»»————- ★ ————-««
Here’s why:
Assuming that the cake has one slice per person (16 slices):
⸻⸻⸻⸻
[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]
⸻⸻⸻⸻
Each slice should cost $1.50.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A rectangle has an area of 243 square feet. One dimension is 9 feet. What is the length of the other dimension?
Answer:
350
Step-by-step explanation:makes sense
PLESESSSSS HELPPP
Sue bought a six-month CD for $2000. She said that at maturity it paid $85.00
in interest. Assume that this was simple interest, and determine the APR.
_____ %
=================================================
Work Shown:
i = p*r*t
85 = 2000*r*0.5
85 = 1000r
1000r = 85
r = 85/1000
r = 0.085
The APR is 8.5%
---------------
Side note: I used t = 0.5 since 6 months = 6/12 = 1/2 = 0.5 years
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4.
Answer:
65.94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
3.14(a² + ab)
a = 3
b = 4
Step 2: Evaluate
Substitute in variables: 3.14(3² + 3 · 4)(Parenthesis) Exponents: 3.14(9 + 3 · 4)(Parenthesis) Multiply: 3.14(9 + 12)(Parenthesis) Add: 3.14(21)Multiply: 65.94Hey there!
3.14(a^2 + ab)
= 3.14(3^2 + 3 *4)
3^2
= 3 * 3
= 9
3 * 4
= 12
3.14(9 + 12)
9 + 12
= 21
3.14(21)
= 65.94
Answer: 65.94
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the value of y?
Answer:
A
Step-by-step explanation:
Guess
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
Abcdefghijklmnopqrsruvwxyz
In 2000, an estimated 7.7 x 10^7 spoke French as their first language and an estimated 1 x 10^8 people spoke German as their first language. In 2000, which language had more speakers?
Answer:
German
Step-by-step explanation:
Given :
Number of people who spoke French as first language in 2000 = 7.7 * 10^7 ; in standard form ;
7.7 * 10^7 = 7.7 * (10 * 10* 10 * 10* 10* 10 * 10) = 77,000,000 = 77 million
Number of people who spoke German as first language in 2000 = 1 * 10^8 ; in standard form ;
1 * 10^8 = 1 * (10 * 10* 10 * 10* 10* 10 * 10 * 10) = 100,000,000 = 100 million
German had more speakers
Excel Assignment
Samsung manufactures cellphone with an average standby time of 10 hours between charges. The standby time of the cellphone is normally distributed. During the design stage, the quality engineering staff recorded 18 observations of the standby time of the cellphone. Using the observations below, is there evidence that the average standby time of a Samsung cellphones is not 10 hours? Use a level of significance of .05
Observation
Observations
Time
1
10.85
2
11.4
3
10.81
4
10.24
5
10.23
6
9.49
7
9.89
8
10.11
9
10.57
10
11.21
11
10.1
12
11.22
13
10.31
14
11.24
15
9.51
16
10.52
17
9.92
18
8.33
Answer the following questions:
What is the null and alternative hypothesis to the case above?
Copy the data into excel and do an analysis to test the hypothesis
What is the conclusion of your analysis?
Develop the 95% confidence interval.
18
Step-by-step explanation:
hduduxjajahxhuddixisuduvic
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
You need 333 sticks of butter for every 242424 cookies you bake.
Complete the table using equivalent ratios.
Answer:
1/728
Step-by-step explanation:
333/242424 =
1/728
When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added. Group of answer choices True False
Answer: The given statement is true.
Step-by-step explanation:
Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.
There are some rules to detect the significant figures in a number:
All digits ranging from 1 to 9 are always considered significant.Every non-zero number is always considered significant. For example, 274, 2.74, and 27.4 all have three significant figures.All zero’s that are present between the integers is always considered significant. For example, 5007, 5.007, and 50.07 all have four significant figures.All zero’s preceding the first integer is never considered significant. For example, 0.0089 has two significant figures.All zeros that are present after the decimal point are always significant. For example, 4.800, 48.00, and 480.0 all have four significant figures.Rule applied when numbers are added or subtracted:
The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.
Hence, the given statement is true.
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
simplify 2 X + 1
whole cube
Answer:
So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]
Step-by-step explanation:
Given question :
[tex](2x+1)^3[/tex]
Now,
Applying this formula
[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]
So,
[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]
Answer:
3x 0r 2x1
Step-by-step explanation:
