Answer:
F
Step-by-step explanation:
Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]
Then compute critical points of a derivative
[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].
Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].
You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.
The answer is [tex]-\sqrt{2}[/tex].
Hope this helps.
A quarter falls off a building that is 144
feet tall. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is
time in seconds and h(t) is height in
feet, how many seconds will it take for
the quarter to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is
[tex]h(t)=-16t^2+\text{Initial height}[/tex]
The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]
[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]
So, time taken by the quarter to reach the ground is 3 seconds.
ASAP I WILL GIVE BRAINIEST IF ANSWERED ASAP!! PLEASE PLEASE HELP
Answer:
2x + 3 =84
Step-by-step explanation:
Answer:
2x + 3 = 84
Step-by-step explanation:
55 people showed up on a party.There were 3 less women than men.how many men were there?
Answer:
52
Step-by-step explanation:
55 - 3 = 52
give me brainiest wink wink
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
-3 + 8n = -5
what is n?
Answer:
-1/4
Step-by-step explanation:
2. What is the solution to the inequality
--4x > 132? Show your work
Answer:
x < -33 ( mark me as the brainliest )
Step-by-step explanation:
1) -4x > 132
2) -4x/4 > 132/-4
3) x < -33
A rectangle has vertices at P (16,16), Q(16,-16), R(-16,-16) and S(-16,16). The origin is the center of dilation and the rule of a dilation is (x,y)→(1/4x, 1/4y) What is P' of the dilated image, PQ’R’S’?
Answer:
(4, 4)
Step-by-step explanation:
So you're trying to find what P' is, and P' would be the dilation of P. This means that you apply the rule (x, y) --> (1/4x, 1/4y) with the coordinate point (16, 16). This would be:
(16, 16) --> (1/4 * 16, 1/4 * 16) = (4, 4)
Find the value of x and y. This has to do with geometry
Answer:
x = 30°
y = 30°
Step-by-step explanation:
By inscribed angle theorem:
[tex]x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree[/tex]
What does 3 to the power of 2 minus 4 times 2 plus 6
Answer:
7 is the answer
Step-by-step explanation:
Answer:
This equals 7
Step-by-step explanation:
I used a calculator
Can I have brainliest pls
A rocket is fired directly upwards with a velocity of 80 ft/sec. The equation for its height, H, as a function of time, t, is
given by the function
H (t) = -1612 + 80+
Find the time at which the rocket reaches its maximum height, and its maximum height.
5
a) O time =
22
sec, max height = 200 ft
b) O time = 80 sec, max height = 100 ft
5
c) O time =
2
sec, max height = 100 ft
d) O time = 5 sec, max height = 200 ft
5
e) Otime = sec, max height = 400 ft
23
Revie
Answer:
(c).
Step-by-step explanation:
h(t) = - 16 t² + 80 t
Coordinates of the vertex are:
t = - [tex]\frac{80}{2(-16)}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 sec.
h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.
Which is the solution to the inequality? 2 3/5 <b - 8/15
A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15
PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST
Step-by-step explanation:
i think it's a b and answer my new question it's 100 point question I really need the answer pls help me
Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof
Answer:
1. half angle
2. x
Step-by-step explanation:
The missing parts of the proof is the variable x.
What are Trigonometric Functions?Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.
Given,
sin² (x) = [1 - cos (2x)] / 2
We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
First, we have
sin² (x) = [1 - cos (2x)] / 2
Substituting x/2 in place of x, we get,
sin² (x/2) = [1 - cos (2x/2)] / 2
sin² (x/2) = [1 - cos (x)] / 2
sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]
Taking square root on both sides,
sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
Hence it is proved.
Learn more about Trigonometric Functions here :
https://brainly.com/question/6904750
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the u.s. landfill contained a total of 200 million tons of trash how many more million tons of trash has been paper than Rubber and leather?
Answer:
9,160,000 tons
Is it a function yes or no
Answer:
no
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
4. Tori bought x shares of Mattel stock for m dollars per share. She sold
all of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
Helpppp!!!!!! I need this nowwwww
What is the probability that a six sided dice rolls on the four and the card is a heart
Answer:
4/6
Step-by-step explanation:
the total time the dice roll over four.. which is also 4/6
Christina built a small hot air balloon and recorded the distance it traveler (v) during the first 4 seconds after starting (s)
Which of the following equations representd the relationship between the distance traveled and the elpsed time?
A: v=1.2s
B: s=1.2v
C:v=1.2+s
D:s=1.2+v
Table is attatched
Answer "v = 1.2s"
Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
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HELP ASAP
The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?
which is equivalents to 9/8
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
my points is going lower and lower and lower and lower until its zero
But i dont care.
Just answer my question in the picture above.
Answer:
c, a, b
...................
PLEASEEEEE SOMEBODY CAN YOU LOOK AT THE ATTACHMENTS ITS MATH IM OFFERING A 69 POINTS
I don't know sorry but I recommend using quizlet
Simplify the following expression completely, where x 20.
x5xy* + 405x’y* - 180x’y4
O xy2 5x + xy? V405x – xy2/80x
0 6xyV5x
-3xy 5x + xy? J405x
O 6xy ſ5x}
Answer:
Option B is your answer
Step-by-step explanation:
hope it helps
have a great day!!
Answer:
A.) -80X^8 + 40x^7 -5x^6 -3x^2
Its OPTION A
Step-by-step explanation:
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
What is the inverse operation needed to isolate the variable 4 = p - 8
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation: