Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
Find the indicated probability. Round to three decimal places.
A car insurance company has determined that 7% of all drivers were involved in a car accident last year. Among the 19 drivers
living on one particular street, 4 were involved in a car accident last year. If 19 drivers are randomly selected, what is the
probability of getting 4 or more who were involved in a car accident last year? (Hint: use binomial probability).
Answer:
explanation below
Step-by-step explanation:
so in order for all 19 drivers to not be in a car accident the probability is
.93 ^ 14 which is around 0.362,
next for 18 of the drivers no accident its
.93^13 x .07 x 19 = around .518
for 17 drivers,
.93^12 x .07^2 x 171 = around .350
for 16 drivers,
so on and you can do the rest
A TV has a listed price of 767.95 $ before tax.if the sales tax rate is 7.25%, find the total cost of the TV with sales tax included.
round your answer to the nearest cent, as necessary.
Answer:
Total cost of TV = $823.63
Step-by-step explanation:
Total cost of TV = the price of the set + (Cost of TV) × ( Sale Tax %)
Total cost of TV $767.95 + ($767.95 × .0725) remember 7.25% = .0725
Total cost of TV = 767.95 + $55.68 $55.6763 ≈ $55.68
Total cost of TV = $823.63
A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answer:
17/20
Step-by-step explanation:
17 marbles are not blue out of 20. Therefore, 17/20 is the answer.
Awnser this question for 10 points..... 1+100-100+1,000
Answer:
[tex]1 + 100 - 100 + 1000 \\ = 1 + 0 + 1000 \\ = 1001 \\ thank \: you[/tex]
Answer: The correct answer would be 1,001!
Step-by-step explanation:
1 + 100 = 101
101 - 100 = 1
1 + 1,000 = 1,001
I hope this helps!!!!!
right answers only plz and thank you
Answer:
Second answer is the correct one .
Determine the quotient of 3/7÷2 over3
Answer:
9/14 {final answer}
Step-by-step explanation:
→ 3/7 ÷ 2/3
Change it into multiplication,
→ 3/7 × 3/2
→ (3 × 3)/(7 × 2)
→ 9/14
Thus, the answer is 9/14.
A coin is flipped 10 times. What is the probability that there are an equal number of heads and tails
Solve for X
X=? degrees
Answer:
~~=0.61685
Step-by-step explanation:
45degree ×45degree
=~~=0.61685
the perimeter of a rectangular floor is 40 m and it is 8 m board find its area
.
plz do fast
when she says what about her personality you like about it should i say you funny?
Answer:
beed points sorry really sorry
24 is 16% of what can you guys help and show work
Answer:
150
Step-by-step explanation:
24/x=16/100
Using cross-multiplication, we get 16x=2400
When we divide both sides by 16,
we get x=150, so, our answer is 150
Find the length of DC
**PLS**
Answer: 30.43
Step-by-step explanation: The smaller triangle has an angle of 54°. The hypothenus is 20, so we're looking for the opposite using SOHCAHTOA
Sin x = opp/hyp
Sin 54 =opp/ 20
Opp= sin54 ×20
Opp= 16.18
Therefore, BD is 16.18
In the bigger triangle, with taking the angle 28° we have DC to be the adjacent.
Tan 28° = 16.18/adj
Adj = 16.18/tan 28°
Adj = 30.43
DC = 30.43
600+600-200 Giving Brainliest
A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the lake's surface.
Part A: Are the locations of the fisherman and his hook opposites? Explain your reasoning.
Part B: Write an inequality using the symbol < or > that compares the fisherman's location to his hook's location.
Answer:
A.12 feet
B. 2 feet>6 feet
Step-by-step explanation:
A. 2 feet x 6 feet = 12 feet
B. 2 feet>6 feet
5 There are 5 times as many chickens as horses on a farm.
There are 10 horses.
(a) How many chickens are there?
B) how many more chickens than horses
Answer:
A) 50
B) 40
Step-by-step explanation:
A) 10 x 5 = 50
B) 50 - 10 = 40
Evaluate: 2(6+4) – 3(5). Show all your steps or explain your thinking.
Remember to follow PEMDAS:
2(6+4) - 3(5)
Add in the first parenthesis:
2(10)-3(5)
Multiply to remove parenthesis:
20 - 15
Subtract:
5
I hope this helps! :)
2( 6 + 4) - 3(5)
add up the numbers in brackets
2 ( 10 ) - 3(5)
Multiply 2 by 10 and 3 by 5
20 - 15
Subtract !
5
2 ( 6 + 4 ) - 3(5) = 5
___________________________
28 minutes for 14 songs = minutes per song
Answer:
Two mins per song
Step-by-step explanation:
28 divided by 14 is 2
I hope this helps! God bless!
7. Solve for x. x/7=7
Answer:
49
Step-by-step explanation:
7x7=49
Michael practices the piano 1120 minutes in 5 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answer:
t = 224d
Step-by-step explanation:
Find the quotient of (11 ^ 18)/(11 ^ 3)
Answer:
The first choice, [tex]11^{15}[/tex].
Step-by-step explanation:
The numerator, [tex]11^{18}[/tex], is equivalent to eighteen "[tex]11[/tex]" multiplied together:
[tex]11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}[/tex].
On the other hand, the denominator, [tex]11^{3}[/tex], is equivalent to three "[tex]11[/tex]" multiplied with one another:
[tex]11^{3} = 11 \times 11 \times 11[/tex].
Dividing [tex]11^{18}[/tex] by [tex]11^{3}[/tex] would eliminate three "[tex]11[/tex]" from the numerator:
[tex]\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}[/tex].
In general, dividing an expression by [tex]y^{b}[/tex] ([tex]y \ne 0[/tex]) is equivalent to multiplying that expression by [tex]y^{-b}[/tex].
For example, in this question, dividing [tex]11^{18}[/tex] by [tex]11^{3}[/tex] would be equivalent to multiplying [tex]11^{18}\![/tex] by [tex]11^{-3}[/tex]. In other words:
[tex]\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}[/tex].
Please help with this
PLs help
............................................
How useful is the slope of a line in the equation?
I WILL MARK IT BRAINLIEST IF YOU ANSWER IT PROPERLY<3
The slope of the line is really important, because first, it just wouldn't be a proper equation and second, "Slope shows both steepness and direction." If the slope isn't there, then we wouldn't know whether the equation is positive or negative.
So sorry if that's incorrect...
What is the volume of a rectangular prism with length 6 yards, width
3 yards, and a height of 2 yards?
Answer:
I solve it pls marke as BRAINLEST
36
Reduce to its lowest term.
100
Answer:
The simplest form of 36 100 is 9 25.
Step-by-step explanation:
i got this from the internet
Easy way of explaining integers?
Answer:
Step-by-step explanation:
3 Great Ways to Teach Adding Integers
Typically, you should begin by having your students think about real world examples of positive and negative integer. ...
Then, model this example using counter chips.
Finally, have your students model addition problems using the counter chips.
Answer:
An integer is either positive or negative
Step-by-step explanation:
If you have money (+4000) Its in the positive. If you Owe money (-50) Then its negative. Positives are always better than negative.
if you can’t see here’s the questions.
b) evaluate 2x^2-x-6/x^3-2x^2+3x-6 and 2x+3/x^2+3 for x= -3, 0 and 3.
c) evaluate 2x^2-x-6/x^3-2x^2+3x-6 and 2x+3/x^2+3 for x = 2.
d) explain the relationship between x ≠ 2 and the factor x - 2.
You need to make party favors for a friend's birthday. 48 people were invited,
but you'll only have to make favors for those who say they will attend. Some of
the favors will be yellow and the rest will be xanadu. Make a graph using paper
or technology that shows all of the possible combinations of yellow or xanadu
party favors you might choose to make. Let represent the xanadu favors and
y represent the yellow favors. Your graph should be labeled with x-intercept, y-
intercept, shaded region, linear boundary (solid or dashed). Also include an
additional point with coordinates clearly labeled in the solution region that
shows me how many of each favor you choose to make after all RSVP's are
received.
Upload your completed graph by clicking Insert from the menu bar above.
belive it is 12
Step-by-step explanation: theGCF of 36 and 24 is 12 the GCF of 36 and 48 is 12 and the GCF of 48 and 24 is 12 and 24
PRT TWO: there would be 2 pencils in each bag 3 candy barsin each and 4 erasers in each because 24 divided by 12 = 2 36 divided by 12 = 3 and 48 dividedby 12 = 4
Please check number seven
Answer:
Correct! 137 ft^2
Step-by-step explanation:
Square area: 20 * 10 = 200
triangle area: 7 * 18
= 126
126 / 2
= 63
Subtract da triangle area
200 - 63 = 137
Hope this helps and a thank won't hurt! :)
to school everyday and back home. His trip is 1 1/2 miles each way. How many miles does Connor walk every day
Des he walk on a normal week (5 days)?
?
