The correct option is A. cosx+sinx. The differentiation of the given function L(x) =sinx-cosx, is found as dxy = cosx + sinx.
Explain about the derivative of function:The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes.
We gradually reduce the distance between x and (x+x) until it is minuscule. As a result, we now have limit (x-->0). The variation of the function f across the interval x is represented by the numerator f(x+x)-f(x). As a result, the rate of change of a function f at a position x is represented by its derivative at that location.We must differentiate L(x) in respect to x using such derivative rules in order to determine d(L(x))/dx.
d(L(x))/dx = d/dx (sinx - cosx)
d(L(x))/dx = cosx - (- sinx)
d(L(x))/dx = cosx + sinx
Thus, the differentiation of the given function L(x) =sinx-cosx, is found as dxy = cosx + sinx.
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Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(
The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?
Answer:
600 000
Step-by-step explanation:
took the same test nav
John has two coupons that he can use to
purchase a new refrigerator. The first coupon is
30% off, and the second is an additional 20%.
If the refrigerator is $1599.99, how much will he
pay after the discounts are applied one at a
time?
Answer:
Ans:800 or 799.995
Step-by-step explanation:
first aplly the 30% percent
=30/100 x 1599.99
=479.997
This the amount that it is gonna be discounted or removed from the original Pric that is 1599.99
Then minus the original price with the discount
=1599.99-479.99
=1120
dollars left then apply the 20% percent coupon on the 1120 dollars
=20/100 x 1120
=224 discount
minus it from the second original price
=$896
This is the amount he is gonna pay
what is 5×=2.5
please help
Answer:
x=2/5
Step-by-step explanation:
Divide:
2 divided by 5 equals 0.4, which is equivalent to 4/10, which simplifies to 2/5.
Multiply to check:
2/5 times 5 equals 2
So x=2/5
1
Which shape is pictured above?
O A. cylinder
OB. cube
OC. rectangular prism
OD. sphere
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\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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Miguel is a boxer. He had to decrease his weight by 4%
to 160 pounds in order to fight in this weight class.
What was his starting weight? Round his weight to the
nearest hundredth. Show your work.
Answer:
166.66 pounds
Step-by-step explanation:
160/0.96=166.66667
This is how I remember doing these questions
the ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?
12 snails, give me brainliest pls
Answer:
12 is the correct answer
Step-by-step explanation:
Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS
Answer:
150
Step-by-step explanation:
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
$16.20 per hour for 40 hours and time and a half for 8 hours. What is the total pay?
Answer:
Add 16.20+ 40+8
Step-by-step explanation: 16+20+40+8= 84
The table above shows the number of members of a local gardening club who attended each of the three
monthly meetings of the club last summer. If no members left or joined the club during the summer, what is the
least number of members that the club could have had during the summer?
0 28
O 35
044
O 105
The least number of members that the club could have had during the summer is 28.
We need to find the maximum number of members attending each meeting and consider that as the minimum number of club members.
Looking at the data provided:
June: 44 members attended
July: 28 members attended
August: 33 members attended
Among these three meetings, the lowest attendance was in July with 28 members.
Therefore, the least number of members that the club could have had during the summer is 28.
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Y=-1/4x +9 what is the slope and y - intercept
Answer:
The slope is -1/4 and the y intercept is at (0, 9)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since -1/4 is the coefficient to x in the equation, the slope is -1/4.
Since there is a +9 at the end of the equation, the y intercept is (0, 9).
So, the slope is -1/4 and the y intercept is at (0, 9)
I need to get the answer but I’m struggling to understand how to get the gradient
Answer:
-5
Step-by-step explanation:
gradient or slope of line: m = (y'-y)/(x'-x)
line pass (-2,5) (-1,0) (0,-5)
use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5
PLEASE HELP!!!
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means
The equation to show the change in temperature between 9 a.m. and noon is given as d = x - y.
What is an equation?An equation contains two mathematical expressions that state that they are equal or equivalent.
We use the equation mark (=) to show that two expressions possess equality.
Air temperature at 9 a.m., y -5.8 degrees Celsius
Air temperature at noon, x = -1.6 degrees Celsius
Change in temperature, d = 4.2 degrees Celsius (-1.6 - -5.8)
The equation to show the change is d = x - y, where d is the change in temperature, x is the final temperature, and y is the initial temperature.
Thus, based on the equation, the temperature increased by 4.2 degrees Celsium from the earlier -5.8 degrees Celsius to result in a final temperature of -1.6 degrees Celsius at noon.
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A student with two summer jobs earns $10 per hour at a cafe and $8 per hour at a market the student would like to earn at least 800 per month.
A. Write an inequality to represent the hours worked and amount earned
B. The student can work no more than 90 hours a month write an inequality to represent the hours worked for the two jobs.
C. Graph the inequalities.
D&e how many hours should the student work at the cafe and the market to reach their goal of 800 per month.
Hours at cafe
Hours at market
Answer: the answer is 432 per day so in 2 days she/he will have just enough
Step-by-step explanation:
Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.
Answer: The − sign here means subtraction. However, recall that 4 − 7 can be rewritten as 4 + (−7), since subtracting a number is the same as adding its opposite.
Step-by-step explanation:
Yes, 3 + (-4) is the same as -4 + 3, and this is due to the Commutative Property of Addition
Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.The Commutative Property of Addition states that the order in which numbers are added does not change the result. In other words, when adding two or more numbers, we can change the order of the numbers without affecting the final sum.
So, in the case of 3 + (-4) and -4 + 3:
3 + (-4) = -1
-4 + 3 = -1
Both expressions have the same result of -1, which confirms that they are equal, and it's because of the Commutative Property of Addition.
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Determine the average rate of change of this function over the interval -2≤x≤4
The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.
please answer quick ! 6 9/10 - 2 2/9 = ?
Answer:
4 61/90
Step-by-step explanation:
6 - 2 = 4
9 / 10 - 2 / 9 = 61 / 90
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Two concentric circles are shown below. The radius of the larger circle is 8 centimeters, while the radius of the smaller circle is 6 centimeters. What is the EXACT area of the shaded region in the figure shown below in square centimeters? 8 6 EXACT area = ? type pi form
start by finding the area for both of the circles with radio 8 and 6 using the formula
\(A=\pi\cdot r^2\)then
\(\begin{gathered} A=\pi\cdot8^2 \\ A=64\pi \\ \text{small circle} \\ A=\pi\cdot6^2 \\ A=36\pi \end{gathered}\)to find the exact area substract the bigger one with the smallest one
\(\begin{gathered} A_t=64\pi-36\pi \\ A_t=28\pi \end{gathered}\)Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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which graph shows all the values that satisfy 2/9x
Answer:
This function is an exponential diagram that is not defined in \(x=0\).
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~~~`
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Step-by-step explanation: Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
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A building is constructed using bricks that can be modeled as right rectangular
prisms with a dimension of 7 in by 22 in by 3 in. If the bricks cost $0.02 per cubic
inch, find the cost of 1050 bricks. Round your answer to the nearest cent.
The cost of 1050 bricks is $9,702.00.
How to find the cost of each brickThe cost of the rectangular prism is given per volume hence we solve for the volume of each brick using:
= length * width * depth
= 7 in x 22 in x 3 in
= 462 cubic inches
The cost of each brick is given to be $0.02 per cubic
inch
To find the cost of 1050 bricks, we can multiply as follows
= the volume of each brick * 1050 bricks * cost of one brick
= 462 cubic inches x $0.02/cubic inch * 1050 bricks
= $9,702.00
To the nearest cent, the cost of 1050 bricks is $9,702.00.
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Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Tlus
-5 in
The volume of
the figure is
cubic in
6 in
6 in Find the volume of the
pyramid using the equation
below.
.
Bh (6)(6)(5)
3
3
Enter the value in the green box
=
[?]
Enter
Step-by-step explanation:
what is the problem ? everything is already written there : the formula, the actual numbers are inserted. now you only need to do the basic calculation :
6×6×5/3 = 2×3×5 = 30 in³
Answer:
60
Step-by-step explanation:
Edward Nigma is installing square tiles in his bathroom. The blueprint above is a scaled drawing of the tile pattern to be used. If the total area of the shaded region is 22 ft^2, what is the total floor area of the bathroom?
Answer:
H. 99 ft²
Step-by-step explanation:
Area is proportional to the number of tiles.
ProportionThe total area of the bathroom is 6×9 = 54 tiles. Of these, 12 are shaded. The proportion can be written as ...
total area / shaded area = total tiles / shaded tiles
total area / (22 ft²) = 54/12 . . . . . use given numbers
total area = (22 ft²)×(54/12) = 99 ft² . . . . . multiply by 22 ft²
The total floor area of the bathroom is 99 square feet.
How much is 2 3/4 cup plus 2 3/4 cup