Answers
3.
[tex]y=\sec^3x+\cot^2(2x)[/tex]
Use the chain rule:
[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]
[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]
4.
[tex]y=\sin(cos(3x))[/tex]
Same as before:
[tex]y'=(\sin(\cos(3x)))'[/tex]
[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]
[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]
[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]
Related Questions
Olivia has eight envelopes labeled “x” and an additional $218, and Jasmine has five envelopes labeled “x” and an additional $521. Each envelope has the same amount of money in it. How much money must be in each envelope for them to have the same amount of money? Write and solve an equation. Solve each of the following inequalities for the given variable. Represent your solutions algebraically and on a number line. Be sure to use a test point to check your solution region.
Answers
Answer:
The envelopes have to have $101 for them to have the same amount of money.
x=$101
Step-by-step explanation:
Olivia has eight envelopes labeled “x” and an additional $218, so we can write that she has this amount of money:
[tex]M_o=8x+218[/tex]
Jasmine has five envelopes labeled “x” and an additional $521. We can write the money that Jasmine has as:
[tex]M_j=5x+521[/tex]
If both have the same amount of money, we have:
[tex]M_o=M_j\\\\8x+218=5x+521\\\\8x-5x=521-218\\\\3x=303\\\\x=303/3=101[/tex]
The envelopes have to have $101 for them to have the same amount of money.
Answer
The envelopes have to have $101 for them to have the same amount of money.
x=$101
Step-by-step explanation:
If u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uov)(x)
Answers
Answer:
Do my question i will do yours
Step-by-step explanation:
Answer:
The Answer is C
Step-by-step explanation:
6 to the power of 3 +7 times 4
Answers
Answer:
892
Step-by-step explanation:
Which of the following relations represents y as a function of x?
A. {(2,2), (2,3), (2,4), (2,5)}
B. {(0,1), (-7,1), (0,6), (8,1)}
C. {(2,6), (3,6), (5,-2), (3,8)}
D. {(1,2), (2,3), (5,3), (7,9)}
Answers
Answer:
The correct answer is D
Step-by-step explanation:
In a function, none of the x values in the set can be repeating. D is the only option that meets this requirement.
Choose the correct answer.
1. What is the value of the 5
in 5,307?
A5,000
B 500
C 50
D 5
please help !!!!!
Answers
Answer:
A. 5,000 is the value.
Step-by-step explanation:
The 5 is in the thousands place.
Answer:
A
Step-by-step explanation:
It is in the thousands place
Uma atleta percorreu cinco oitavos de uma pista e ainda precisa percorrer 75 quilômetros para completar seu percurso . Quantos quilômetros a atleta percorrerá no total?
Answers
Answer:
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
Step-by-step explanation:
She will run x kilometers.
She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.
So
[tex]\frac{5x}{8} + 75 = x[/tex]
[tex]x - \frac{5x}{8} = 75[/tex]
[tex]\frac{8x - 5x}{8} = 75[/tex]
[tex]3x = 8*75[/tex]
[tex]x = \frac{8*75}{3}[/tex]
[tex]x = 200[/tex]
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
i don't really understand this yet, could someone please help?
Answers
Answer:
maybe show me a picture of what u want me to help u with and then Ill answer it
The fuel tank in a car holds 20 gallons of gasoline. The car has a fuel efficiency rating of 24 miles per gallon. If the gas tank is full when the family begins, and their destination is 1,600 miles away, what is the least number of times they will have to stop and fill the gas tank to get to their destination?
Answers
Answer:
3
Step-by-step explanation:
1600 miles × (1 gallon / 24 miles) = 66⅔ gallons
66⅔ gallons × (1 tank / 20 gallons) = 3⅓ tanks
Rounding up to the nearest integer, the family will need 4 tanks. Since they start with a full tank, they will need to stop at least 3 times.
Using tan(A+B), find the exact value of tan(105).
Answers
Answer:
-2-√3
Step-by-step explanation:
The sum of angles formula for tangent is ...
tan(A+B) = (tan(A) +tan(B))/(1 -tan(A)tan(B))
For the desired angle, we can use A=45°, B=60°. Then we have ...
tan(105°) = (tan(45°) +tan(60°))/(1 -tan(45°)tan(60°))
The tangent values we need are ...
tan(45°) = 1
tan(60°) = √3
Then our tangent is ...
tan(105°) = (1 +√3)/(1 -1·√3) = (1 +√3)²/((1 -√3)(1 +√3)) = (4+2√3)/(-2)
tan(105°) = -(2+√3)
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
D. 96
F. 32
Step-by-step explanation:
The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is greater than 96. So to figure this out, you must plug in the numbers given for x, like so:
3x ≥ 96
A. 3(31) ≥ 96
93 ≥ 96 This is incorrect since 93 is not greater than 96
A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:
D. 3(96) ≥ 96
288 ≥ 96 This inequality is correct
F. 3(32) ≥ 96
96 ≥ 96
The inequality sign states that the number must be either greater or equal to 96, which it is.
The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 77% say they are very satisfied. We want to decide if the 77% is enough evidence to lead us to accept or reject the CEO’s claim?
Answers
Answer:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:[tex]p\leq 0.75[/tex]
Alternative hypothesis:[tex]p > 0.75[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?
Answers
Answer:
17π
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
Area of a circle is:
A = πr²
r² = 17, so A = 17π.
what is 5/8 - 4/7 but simplified? i dont know how to do it
Answers
Answer:3/56
Step-by-step explanation:
5/8-4/7
(35-32)/56
3/56
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?
Answers
Answer:
D,E
Step-by-step explanation:
hope I helped
i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel
Answers
Answer:
errday i b countin up countin up da blues count away sometimes we always lose
Step-by-step explanation:
juice wrld
Answer:
juice wrld
Step-by-step explanation:
Two part-time employees share one full-time job. A girl works Mondays. Thursday, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of $28,612. What annual salary does each employee earn?
The girls salary is______
Answers
Then use 28612-5722.4= 22889.60 is the girls salary
The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?
Answers
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9
What is Ratio?The ratio can be expression as how many times one number contain another number.
For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2
How to find ratio?Consider M denote the number student present in the Mr. Moore's class
similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class
then we have given that
M : H = 5 : 4 or
[tex]\frac{M}{H} = \frac{5}{4}[/tex]
Also we have H : W = 8 : 9
[tex]\frac{H}{W} = \frac{8}{9}[/tex]
Now multiply these two equations we have
[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]
[tex]\frac{M}{W}= \frac{10}{9}[/tex]
The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9
This is the conclusion to the answer.
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Please help!!! I’ll mark the first answer, brainliest!! :,(((
Answers
Answer:
I'm sorry but idk. .......................
Answer:
Point C' coincides with point E.
point D' coincides with point F.
Step-by-step explanation:
Find the value of angle O in triangle ΔBOC where O is the center of the hexagon. Once you find it, devide it by the total value of counterclockwise rotation (240°) to find how many times the point labaled C moves to the left. The value of angle O in triangle ΔCOD is the same as the value of angle O in triangl we ΔBOC, so the amount that point D moves to the left is the same.
The factors of the polynomial are
A.(x + 1)(2+ix)(2-ix)
B.(x-1)(2+ix)(2-ix)
C.(x-1)[x-(3+1)][x-(4-1)]
D.(x+1)(x+(2+1)][x- (2-1)]
E.(x-1)[x+(2+1)][x- (2-1)]
Answers
Answer: c
Step-by-step explanation:
Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Answers
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
Answer:
the answer is 172.50
Step-by-step explanation:
So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer
Step-by-step explanation
1150 * 0.15 = 172.5
If it was helpful can u mark me brainliest pls!!!!!!!!!!!
what is the area of the triangle shown below?
Answers
Answer: Please provide the triangle
Determine which consecutive integers do not have a real zero of f(x) = x^3 + 9x^2 + 8x – 5 between them.
A.) (–8, –7)
B.) (4, 5)
C.) (0, 1)
D.) (–2, –1)
Answers
Answer:
Option B (4,5)
Step-by-step explanation:
The integers (4, 5) do not have real zero.
What is zero of a function?Knowing what zeros represent can assist us in determining when and how to locate the zeros of functions given their expressions and a function's graph. The value of x when the function itself reaches zero is typically referred to as a function's zero.
A function's zero can take many different forms, but as long as they have a y-value of zero, we will consider them to be the function's zero.
Given Expression
f(x) = x³ + 9x² + 8x - 5
to find which is not a real zero,
condition of real zero is for any function f(a , b) if f(a).f(b) < 0 the function have at least a zero.
1: (-8, -7)
f(-8).f(-7) = [(-8)³ + 9(-8)² + 8(-8) - 5][(-7³) + 9(-7)² + 8(-7) - 5]
f(-8).f(-7) = (-5)(37)
f(-8).f(-7) = -185 < 0 points have at least a zero
2: (4, 5)
f(4).f(5) = [(4)³ + 9(4)² + 8(4) - 5][(5³) + 9(5)² + 8(5) - 5]
f(4).f(5) = 235 x 385
f(4).f(5) = 94,475 > 0
points do not have any zeros
3: (0, 1)
f(0).f(1) = [(0)³ + 9(0)² + 8(0) - 5][(1³) + 9(1)² + 8(1) - 5]
f(0).f(1) = -5 x 13
f(0).f(1) = -65 < 0
points have a zero
4: (–2, –1)
f(-2).f(-1) = [(-2)³ + 9(-2)² + 8(-2) - 5][(-1³) + 9(-1)² + 8(-1) - 5]
f(-2).f(-1) = 7 x (-5)
f(-2).f(-1) = -35 < 0
points have a zero
Hence only point (4, 5) do not have a zero.
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A rectangular prism is cut diagonally, resulting in the creation of two triangular prisms. What is the two-dimensional shape resulting from this cut?
Answers
Answer:
A rectangle
Step-by-step explanation
Cutting the rectangular prism diagonally will result in the creation of two triangular prisms taking the two dimensional shape of a rectangle as its cross section.
Diagonal cutting means cutting that passes from the top edge of cuboid to edge on the bottom on opposite sides. This way, a rectangular two dimensional shaped cross section is formed
Answer:
circle, rectangle
Step-by-step explanation:
KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?
Answers
What’s the correct answer for this?
Answers
Answer:
Step-by-step explanation:
slope = 6
y-4 = 6(x+ 3)
y-4 = 6x + 18
y = 6x + 22
Answer:
C
Step-by-step explanation:
In the attached file
Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answers
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
Write the equation of the quadratic function in standard form represented by the graph.
Answers
Answer:
f(x)=x²+6x+8
Step-by-step explanation:
hello : here is an solution
What the the Quotient 7/12 divided by 2/5
Answers
Answer:35/24
Step-by-step explanation:
7/12 ➗ 2/5
Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted
7/12 x 5/2
(7x5)/(12x2)
35/24
The quotient of 7/12 divided by 2/5 is 35/24.
To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.
Here are the steps:
Write down the first fraction: 7/12
Write down the reciprocal of the second fraction: 5/2
Multiply the first fraction by the reciprocal: (7/12) x (5/2)
Multiply the numerators: 7 x 5 = 35
Multiply the denominators: 12 x 2 = 24
Simplify the fraction, if possible: 35/24
Therefore, the quotient of 7/12 divided by 2/5 is 35/24.
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How would you write "4/1000" In decimal form?
Answers
Answer:
0.004
Step-by-step explanation:
Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004
Answer:
0.004
Step-by-step explanation:
[tex]\frac{4}{1000}[/tex] is basically [tex]4 \cdot 10^{-4[/tex] (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us
[tex]4.0\\0.4\\0.04\\\boxed{0.004}[/tex]
More depth:
[tex]10^{-4[/tex] also equals 0.001, so [tex]4 \cdot 0.001 = \boxed{0.004.}[/tex]
*You may do division and find the answer too. However, these ways are quicker.
While waiting in line for the roller coaster, you were listening to the ride attendant tell the riders how the track is 1456 feet long and lasts 112 seconds from the beginning to the end. What is the average speed of the roller coaster in feet per second?
First to answer gets brainiest!
Answers
Answer:
13ft a second it's just a an average it the feet divided by the time by 2
