if f (x) = √(3) ×cos(x) + 3×sin(x) , then f َ(π/3)
Answers
Answer:
2sqrt(3)
Step-by-step explanation:
.............
Related Questions
t is the letters in the word thinking
Answers
Answer:
u is the one on my mind rn
Step-by-step explanation:
HAHAHAHAHHAA XD
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.
Answers
Answer:
the decision rule is to reject H0 if Z is < -1.645
Step-by-step explanation:
this question is interested in the decision rule.
H0: u = 449
H1 : u <449
We find the test statistic
Mean bar x = 441
u = 449
Sd = 18
n = 37
Z = barX - u / sd/√n
= 441-449/18/√37
= -8/18/6.083
= -8/2.959
Z = - 2.7036
This is the value of the test statistic
The critical value at 0.05 = -1.645. this is a left tailed test
The decision rule is to reject H0 if Z < -1.645
The test statistic is less than the critical value
-2.7036 < -1.645
So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.
Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15
Answers
Answer:
Step-by-step explanation:
All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Triangle PQR is similar to triangle XYZ.
Hence, We get;
In triangle PQR,
cos P = 9/15
And, In triangle XYZ,
cos X = XZ / ZY
cos X = 9 / 15
Thus, All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
Learn more about the angle visit;
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i givee brainlilsttt
Answers
Answer:
simple, it's (4,4) because the (-4,-4) is on the left side then on the right side, we know the x axis is positive right? so then you know that the bottom of the y axis is negative and the x axis is first in the coordinate and so the first one is positive now.
The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.
Answers
Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Step-by-step explanation:
Given: Number of visits in 1998 = 1.3 billion
Number of visits in 2002 = 1.5 billion
The average rate of change in the number of public library visits from 1998 to 2002 = [tex]\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}[/tex]
[tex]=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}[/tex]
Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST
Answers
Step-by-step explanation:
Notice that
9y² - 4xy + 4x²/9 = (3y - 2x/3)².
Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)
= (3y - 2x/3).
Answer:
(9y²-4xy+4x²/9)/(3y-2x/3)
={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)
=(3y-2x/3)²/(3y-2x/3)
=(3y-2x/3)
(3y-2x/3) is the right answer.manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?
Answers
Answer:
$7049 is the answer.
Step-by-step explanation:
Answer: $7980
Step-by-step explanation:
Follow the formula A=Pe^rt
A= 7500(e)^(.031)(2)
A= 7980
> Next question You can retry this question below What is the slope of a line that is parallel to the line – 7x - y = 2 ? Write your answer as an integer or fraction. The slope is Check Answer Type here to search O
Answers
Answer:
The slope of parallel line m = -7 is an integer
Step-by-step explanation:
Explanation:-
Given that the parallel line
-7x-y = 2
we know that the slope of the two parallel lines are equal
m₁ = m₂
The given parallel line equation
- 7 x - y = 2
The slope-intercept form
y = - 7x -2
comparing
y = mx +C
slope of parallel line m = -7 is an integer
y- Intercept c = -2
Solve this system of equations using substitution:
y = 2r-4
x + 2y = 10
Step 1: Substitute for y in the second equation. Which is the
resulting equation?
Answers
X + 2(2x -4) =10
X +4x -8 =10
5x = 18
3 + x, when the value of x is 15
Answers
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
Find an exact value.
sine of negative eleven pi divided by twelve.
A. square root of six plus square root of two divided by four.
B. negative square root of six minus square root of two divided by four.
C. square root of two minus square root of six divided by four.
D. square root of six minus square root of two divided by four.
Answers
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.
Answers
15 sides
It’s the right answer
The number of sides that the original building has will be 15 sides.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The measure of the exterior angle is given as,
Exterior angle = 180° - Interior angle
Exterior angle = 180° - 156°
Exterior angle = 24°
The total number of sides of the polygon will be given as,
Exterior angle = 360° / (Number of sides)
24° = 360° / n
n = 360° / 24°
n = 15
The number of sides that the original building has will be 15 sides.
More about the polygon link is given below.
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The complete question is given below.
What is 4 divided by 1/8
Answers
Answer:
32
Step-by-step explanation:
4/(1/8)
Can someone tell me how to do this?
Answers
Answer:
6w+32
Step-by-step explanation:
Simplify the expression
Answers
Answer:
46-55i
Step-by-step explanation:
In what direction is a line with an undefined slope going?
A.
down and to the right
B.
horizontal
C.
vertical
D.
up and to the right
Answers
Answer:
I think it D-
I not that sure
1.) Find out the distance covered when, speed is 960 km/hour and time is 1 hour 50 minutes.
2.) If distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed?
3.) A man runs at the speed of 10 km/hr. How much time will he take to cover 750 metres?
4.) Aaron ran 500 metre in 100 Seconds. Find the speed in km per hour.
5.) A cyclist travels at a speed of 20 km/hour. How far will he travels in 50 minutes?
Answers
Answer:
A: 1070 m
Solution:
based on the formula :
960km/h= x (the distance) / 1h50m
Answer:
Step-by-step
The rate of change is 150 km per minute.
The rate of change is 2.5 km per second. explanation:
If the distance from point P to point L is the same as the distance from point P to point C, then P is on
Answers
Answer:
This answer is C, it is on the perpendicular bisector of segment LC.
Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL. You will note that LC (if you connect those points) will become the perpendicular bisector to point P.
I hope that makes sense.....
Step-by-step explanation:
Quadrilateral ABCD has the following vertics:A( -3,0) B (7,2) C (1,-4) D (-9,-6) is Quadrilateral A B C D a parallelgram, and why?
Answers
Answer:
in my opinion I think it parallelogram because it has four sides which are A,B,C,D
Who can tell me the answer quick?
Answers
Answer:
B
Step-by-step explanation:
Find the area of this Parallelogram.
Answers
Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
Blank 1:
Answers
Answer:
7.5
Step-by-step explanation:
Divide 30 by 3.99
30/3.99=7.5House prices in the neighborhood average at $90.05 per square foot. If the house has 1055 square feet, what should be its price?
A. $139,750
B. $109,000
C. $95,000
D. $124,000
Answers
Answer:
C. $95,000
Step-by-step explanation:
90.05 times 1055 is $95,000.75 the closest number to that is $95,000.
??????????????????FAST HELP PLZ
Answers
Answer:
[tex]y = \frac{2}{3} x - 2 \\ [/tex]
(Blank) x 1/6 = 5/6
I haven’t done this in a while so I need help.
Answers
Answer:
5
Step-by-step explanation:
Divide 5/6 by 1/6 to get 5 as your answer.
Which one's are true???
Answers
Answer: I believe b and d
Step-by-step explanation:
Answer:
A is true b is true
Step-by-step explanation:
A.if u add a postive to a negative that is the same number u get 0
b. negative plus negative is positive
have a great day
what is 1000×80,000 in stuck on this
Answers
Answer:
80,000,000
Step-by-step explanation:
Angela hiked 4 miles one day and 216 miles the next day. How many total miles did Angela hike?
Answers
Answer:
220
Step-by-step explanation:
216+4
The next day+ the first day=220
what percentage of 130 liters is 6.5 liters?
Answers
Answer:
2%
Correct Answer : 2%
Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.
Step-by-step explanation:
please give me a heart anyone else please give me a heart thank you
The value of y varies directly with x, and y
Find y when x = 2.4.
7.2 when x = 1.6.
Answers
Answer:
Step-by-step explanation: