Find the derivative of f(x) =4cot(x) + 10 sin(x)
d/dx cot(x) = -csc²(x)
d/dx sin(x) = cos(x)
So, if f(x) = 4 cot(x) + 10 sin(x), then
f '(x) = -4 csc²(x) + 10 cos(x)
What is the area of a circle with a radius of 6 inches?
9 pi in^2
12 pi in^2
36 pi in^2
81 pi in^ 2
Answer:
Area of circle = πr² ( Putting π = 22/7) Area = 3.14×6×6Area = 113.04Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Write the equation of a square root function that has the following graph.
9514 1404 393
Answer:
g(x) = √(x -5) +7
Step-by-step explanation:
To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...
g(x) = f(x -h) +k
To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...
g(x) = √(x -5) +7
2. The curve with equation y = ax? + bx +c passes through the points P (2,6) and Q (3, 16), and has a gradient of 7 at the point P. Find the values of the constants a, b, and c.
Answer:
[tex]y = a{x}^{2} + bx + c \\ 6 = a{2}^{2} + 2b + c \\ 6 = 4a+ 2b + c...(1) \\ 16 = 9a+ 3b + c...(2) \\ \frac{dy}{dx} = 7 = 4a + b...(3) \\ (2) - (1) \\ 10= 5a + b...(4) \\ (4) - (3) \\ 5a - 4a = 10 - 7 \\ \boxed{a = 3 }\\ sub \: a \: im \: (4) \\ 10 = 15 + b \\ \boxed{b = - 5} \\ sub \: a \: b \: in \: (1) \\ 6 = 4(3) + 2( - 5) + c \\\boxed{c = 4}[/tex]
Evaluate the expression when x=-6
Answer:
Step-by-step explanation:
x² + 5x - 5 = (-6)² + 5*(-6) - 5
= 36 - 30 - 5
= 36 - 35
= 1
Answer:
1
Step-by-step explanation:
-6^(2)+5(-6)-5
36 + 5(-6) -5
36- 30- 5
6 - 5
1
HELP!
Ruben, Shelly, and Malcolm have recorded a hit song. Ruben gets 2/5 of the income, Shelly gets 1/3, and Malcolm gets the rest. If they earn $300,000, how much does Malcolm earn?
Answer:
$ 80,000
Step-by-step explanation:
2/5 + 1/3 = (6 + 5)/15 = 11/15
15/15 - 11/15 = 4/15
4/15 of 300,000
4/15 x 300,000 = 1,200,000/15 = 80,000
need help due in 2 minutes!!!!!
Answer:
x = 7x^2
Step-by-step explanation:
4x-14=-3x^2
x-14=3x^2
x= 7x^2
Answer:
3x²+4x-14=0
Step-by-step explanation:
Standard form of a quadratic equation is ax²+bx+c=0. To do that, simply move -3x² over to the other side by adding it. That leaves you with the answer.
Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!
Answer:
Step-by-step explanation:
While I can not give you the exact answer as it is a graph, it's worth noting that the function is in f(x) = mx + b form.
This means the first point with an x coordinate of 0 will start at 6, and for each increase in one on the x-axis, we add 2.4.
So, the first coordinate is (0,6), the next is (1,8.4), and so on until you reach the end. That shouldn't take very long provided you can compute addition mentally.
Hope this helps and Good Luck
An insurer knows that the proportion of smokers in a population is 0.3. Furthermore, it is known that: 40% of applicants who are smokers say they do not smoke on their applications. None of the non-smoking applicants are lying on their application.
Calculate what is the probability that one of the applicants says that he does not smoke, and that in fact do not smoke.
===================================================
Explanation:
Let's say this population had 1000 people. You can pick any number you want, but I'm going for some nice big round number to work with.
The proportion of smokers is 0.3, which means 0.3*1000 = 300 people in this population are smokers and 1000-300 = 700 are nonsmokers.
Of the 300 people who do smoke, 40% of them lie on the application. This means 0.40*300 = 120 people lied. These 120 people say they don't smoke, but in fact they do smoke.
So if we were to survey this population, then 700+120 = 820 people would say they don't smoke
Only considering the people who write "don't smoke" on the survey, which is that 820 figure, 700 of them are true nonsmokers. Therefore, the probability we want is 700/820 = 0.8537 approximately
Wxy is a right triangle.
Answer:
B. False
Step-by-step explanation:
To check if its a right angle triangle, you need to check if pythagoras' theorem works:
a² + b² = c²
(√17)² × (√17)² = 289 which is not equal to (√34)²
What is the slope of the line?
−9/5
−5/9
9/5
5/9
Answer:
-9/5
Step-by-step explanation:
(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
2inch=1 foot
Step-by-step explanation:
so 2 to 1 2:1
Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|
Answer:
horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward
Step-by-step explanation:
What is the correct number form for “seven and eighty-three thousandths?”
Answer:
7.083
Step-by-step explanation:
Answer:
7.083 im pretty sure
Step-by-step explanation:
please help and thank you
Answer:
[tex]y=-3x-7[/tex]
Simplify the linear expression.
−3x+5(−8x−1)
Enter your answer in the box.
Answer:
-43x - 5
Step-by-step explanation:
−3x + 5 (−8x −1)
First, distribute 5 into the parenthesis:
= −3x + 5 (−8x −1)
= -3x - 40x -5
Combine like terms:
= -43x - 5
Answer:
-43x - 5
Step-by-step explanation:
I took the K12 test
Determine whether the triangles are similar
Step-by-step explanation:
ur are choosing correct option as,
W = Y ( 90° given )
VW = YZ ( as both are || to eachother so their length is same )
angle X = X ( vertically opposite angle)
therefore, ∆WVX = ∆ZYX are congruent according to SAS congruency rule/criteria.
hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.
What is the slope of this graph?
Use the graph above to demonstrate your understanding of slope and density.
a. Calculate the slope of the trend line using this mathematical equation: Slope = Y2-Y1 / X2-X1
(Use the 2 yellow dots on the graph and show your work)
b. In this graph (mass vs volume), what does the slope represent?
Answer:
41
Step-by-step explanation:
i know skxkdkckxokdkakd
graph the line with slope 8 and y-intercept -9
[tex]\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }[/tex]
Step-by-step explanation:
I know but I m feeling bore
What is the answer for this question?
Answer:
I don't know sorry.....
Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!
Answer:
the third one is the correct answer
You just paid $435,000 for a policy that will pay you and your heirs $17,300 per year forever with the first payment in one year. What rate of return are you earning on this policy?
Answer:
3.98%
Step-by-step explanation:
R = $17,300/$435,000 = .0398, or 3.98%
the first discount on a certain laptop was 15% the second was 28% after two discounts the price become $306. What was the original price?
Answer:
$437.58
Step-by-step explanation:
15% + 28%
= 43%
43/100 × 306
= $131.58
$131.58 + $306
= $437.58
1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento
Step-by-step explanation:
the price of:
3.17 pounds of pears = 3.17 × 0.99
= $3.14
1.45 pounds of oranges = 1.45 × $1.19 = $1.73
1.77 pounds of grapes = 1.77 × $1.29 =$2.28
so , the total bill = 3.14+ 1.73+ 2.28 = $7.15
Find prices of all
pears
3.17(0.99)$3.14Oranges
1.19(1.45)$1.73Grapes
1.77(1.29)$2.28Total
2.28+1.73+3.14$7.15A math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Answer is 1/10
Answer:1/10
Step-by-step explanation:so easy
The probability that the students she selects are both boys is 1/10.
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates complete certainty.Given is that a math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.
The probability that the students she selects are both boys -
P{E} = P{1} x P{2}
P{1} : randomly selecting a seventh grader as a boy.
P{2} : randomly selecting a eight grader as a boy.
We can write -
P{1} = n{f}/n{s} = 1/5
P{2} = n{f}/n{s} = 5/10 = 1/2
P{E} = P{1} x P{2}
P{E} = 1/5 x 1/2
P{E} = 1/10
Therefore, the probability that the students she selects are both boys is 1/10.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Please Help! I will give you a lot of points!
#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
Answer:
(56,7) is the answer of this questions
please help me pleaseeee!
1)true
2)true
3)false
4)true
5)true
6) false
7))true
8)true
9)false
10)false.
11)false
12)true
5. In (triangle) ABC, what is the expression for the length of BC? A sin 38/15 b.15sin 87/sin 38 c.15sin 55/sin 38. D, sin 87/15 sin 38
e. Sin 38/15 sin 87.
A
15 (55 triangle 38)
C
B