Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]
or
[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm
Answer:
i think E.942 cm³ is answer
Volume = πr²h
so
3.14×5×5×12
= 942 cm²
/I could use some help i dont know this
Answer:
4.5+19.75=24.25
Step-by-step explanation:
What is 4/5 divied by 2/5
Answer:
2
Have a nice day :D
Answer:
2
Hope this helps
Please help me simplify this answer.
Answer:
D
Step-by-step explanation:
if x =4 and y =5
the expression = 818.3396
and D the only expression done the same result
In a randomly generated list of numbers from 0 to 4, the chance that each
number can occur is 1/5? True or false
A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.
Answer:
2878045.500 cubed metres
Step-by-step explanation:
volume = 1/3* pie* r*r*h
= 1/3 *3.14*165*165*101
=2878045.5 cubed metres
i hope it's helpful
Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.
Answer:
See image
Step-by-step explanation:
Let w=width
And let l=length
Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.
Step-by-step explanation:
let the width of the rectangle=x
the length=x+2.3
Since perimeter=28.6
We know that perimeter of a rectangle is given by
P=2(l+w)
28.6=2(x+2.3+x)
28.6=2(2x+2.3)
28.6=4x+4.6
28.6-4.6=4x
4x=24
x=24/4=6
Therefore width is 6inches and length is 8.3inches
Which of the tables represents a function? (1 point)
Table A
Table B
Table C
Table D
Input Output Input Output Input Output Input Output
4 2
5 9
4 3
4 7
9 2
9 3
7 9
4 3
6 5
2 7
8 7
6 5
8 5
Answer
in think it's (C)
Step-by-step explanation:
I WILL GIVE BRAINLEST AND 60 POINTS I KNOW ITS NOT ALOT
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answer:
Melanie and 2 times ½ a mile
Hopes This helps
I need help!! 6-10!!!!!!!!!!!!!!!!
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental
fee to use a kayak for 4 days. She also paid $18 for a guided waterfall tour. Tara
paid $94 in all. What was the rental cost of each day Tara used the kayak?
Answer:
she will pay $19 for each day
Step-by-step explanation:
94-18=76
76÷4=19
The rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
Let x be the rental cost of each day Tara used the kayak.
4x + 18 = 94
4x = 94 - 18
4x = 76
x = 76/4
x = $19
Thus, the rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Only 19 and 21!!!!!
Thank You!!!!
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
2. Kiant is having a sale on ketchup. All
ketchup is 70% of its original
price. You want to buy Meinz' ketchup with an original price of $8.90.
What is the sale price?
Answer: $2.67
Step-by-step explanation:
$8.90 - $6.23 = $2.67
Brainliest? Im just trying to get to a higher rank
is 5.243 greater, equal to ,or less than 5.4?
Answer:
5.243 is less than 5.4....
What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor
1. The total cost of Software M over time is $10,000.
2. The total cost of Software X over time is $4,000.
Data and Calculations:
Cost of Software M = $12,000
Satisfaction rate with Software M = 95%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $2,000
Percentage of not satisfied = 5%
The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.
Cost of Software X = $6,000
Satisfaction rate with Software X = 55%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $18,000
Percentage of not satisfied = 45%
The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.
Learn more about total cost based on satisfaction ratio here: https://brainly.com/question/25940131
QUESTION 4 PLEASE HELP ME ASAP
Answer:
Part 1: The entry fee is $5
Part 2: Each minute costs 25 cents
Step-by-step explanation:
In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.
12*10-50 i am in a hurry
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
72.18 into like fraction
Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
Driving at a constant rate, Dan traveled 310 miles in 5 hours. If he drives at the same speed, how far will Dan travel in 8 hours?
According to the amount he drove in 5 hours, he drove an average of 62 MPH. If he continued to drive at this speed for 8 hours, he would travel 496 miles.
BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?
A.
Jared oils the large press that forms the Styrofoam.
B.
Jared makes a schedule for Styrofoam deliveries.
C.
Jared tests the air quality in the room where the Styrofoam is stored.
D.
Jared designs the assembly line for the factory.
Answer: I looked it up please give a brainliest if correct:
Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.
Answer:
I would say D.
Step-by-step explanation:
Please double check i don't want you to fail your quiz
please HELPPP!!!!!!!!!!!!!!!!
Answer:
40,44,48,52
Step-by-step explanation:
These are multiples of 4 because 4 can be multiplied into all of them like
4x11=44
4x10=40
4x12=48
4x13=52
Rationalize the denominator and simplify.
6
15 - 3
Answer:
[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]
Help I’m so confused
Answer:
5x: linear; monomial
-7: constant; monomial
x^2 + 4: quadratic, binomial
x^2 - 3x + 11: quadratic, trinomial
2x - 9: linear, binomial
Step-by-step explanation:
Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic
Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.
Name the triangle as described
Answer:
scalene triangle
Step-by-step explanation:
Yesterday, there were 100 problems assigned for math homework. Pablo got 60 problems correct and 40 problems incorrect. What percentage did Pablo get correct?
I need a step by step explanation as well as work
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
i need help with this pleaseeeeeeee
Answer:
BEF
Step-by-step explanation:
Yeah-ya.............. right?
Answer:
TAY I THINK ITS TAY C PART TAY
