tan²(8x) = sin²(8x) / cos²(8x)
… = (1 - cos²(8x)) / cos²(8x)
… = 1 / cos²(8x) - 1
… = 2 / (1 + cos(16x)) - 1
where the last equality follows from the half-angle identity for cosine,
cos²(x) = (1 + cos(2x)) / 2
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
neeed hellpp Asap i have 15min left
Answer:
a
Step-by-step explanation:
Answer:
A I believe
Step-by-step explanation:
A I believe.
A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?
–2.67
–1.67
1.67
2.67
Answer:2.66
Step-by-step explanation:
The z-score for this delivery time is 2.67
What is z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given,
Restaurant delivers orders within 30 minutes
The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27
One particular order delivery took 35 minutes(X)= 35
ц = 27
σ = 3
X = 35
z-score = (X-ц )/σ
Substitute the values,
z-score = (35-27 )/3
z-score = 8/3
z-score = 2.67
Hence, the z-score for this delivery time is 2.67.
Learn more about z-score
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Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
Which expression is half as large as the expression 345+23?
Answer:
368:2= 184
................
Final Answer: [tex]184[/tex]
Steps/Reasons/Explanation:
We will need to divide [tex]345 + 23[/tex] by [tex]2[/tex] to get the expression that is half as large of the sum of [tex]345 + 23[/tex].
Question: Which expression is half as large as the expression [tex]345 + 23[/tex]?
[tex]\frac{345+23}{2}[/tex] = [tex]\frac{368}{2}[/tex] = [tex]184[/tex]
~I hope I helped you :)~
Work out m and c for the line: y − 2 x = − 3
Answer:
m=2, b=-3
Step-by-step explanation:
y=2x-3
m = 2
b = -3
8 gallons equals how many pints?
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Answer:
91 ft ≤ (7 ft)n or n ≤ 13
Step-by-step explanation:
total amount of edging is
e(n) ≤ 4 ft + (7 ft)n
This inequality relates the total length of edging to the number of 7 ft rolls needed.
If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n as
95 ft ≤ 4 ft + (7 ft)n
which simplifies to
91 ft ≤ (7 ft)n or n ≤ 13
Natalia must purchase 13 rolls. This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.
Which describes the graph of y=(x+3)^2-4?
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
what is the correct factorization of x^2 - 2x - 15?
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answer:
93.83%
Step-by-step explanation:
2350 - 1200 = 1150
1150/1200 * 100 = 95.83%
Evaluate p + 2 for p = -8.
Answer:
-6
Step-by-step explanation:
Find the area of the circle use 3.14 for pi with a radius of 6ft
The formula for the area of a circle (A) is A =Πr2.
r = 6 ft Π = 3.14,
A = 3.14 x 62
A = 113.04 (which is an estimated answer because Π is estimated in this case).
Therefore, the answer would be D. If you can use a calculator, then your answer will be more exact. Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.
A = 3.14 x 36
Step-by-step explanation:
find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17
Answer:
n(x)= 5
Step-by-step explanation:
2x+7 = 17
2x = 17-7
2x = 10
x = 5
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7
The GOAL of any equation is to get the?................
by itself on one side of
the equation.
Can somebody help me out ?? please ..
what type of transformation maps abc onto def
Answer:
The answer is translation :)
-5x + y = -6
7x + 2y = 39
Answer:
x=3, y=9
Step-by-step explanation:
Mulriplying the first equation by 2 yields -10x+2y=-12.
Subtracting the second equation from this gives -17x=-51, and thus x=3.
Substituting this back into the first equation gives -15+y=-6, and thus y=9.
Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist
Answer:
B
Step-by-step explanation:
The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.
Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
What are the coordinates of the image after point (4,-5) is reflected across the x-axis
Answer and Step-by-step explanation:
The x-axis is a horizontal line
^
|
|
(<-------------------------|-----------------------------> x
| ^ This line is the x-axis
|
V
^
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
The point is listed, labeled as A. To reflect, all we have to do is go up twice the absolute amount of the y value, so the absolute value of 5 times 2.
^
| A' ● (4, 5)
|
|
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
This new point is labelled as A'.
(4, 5) is the new coordinate.
#teamtrees #WAP (Water And Plant)
1,1,2,3,5,8, ______, ______, _______, _________, _______.
What is the filling blanks and Conjecture?
Need a bit of help with this:(
Answer:
Step-by-step explanation:
statement/reason
1) X midpoint for WZ / given
2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)
3) X midpoint for VY/ given
4) VX≅XY / definition of midpoint (S)
5) ∠WXV≅∠YXZ / vertical angles are congruent (A)
6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency
Water runs from a pump at a rate of 1.5 gallons per minute. At this rate, how long would it take to fll a tub with a 150-gallon capacity?
1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?
Answer:
The probability of a white marble or black marble being drawn is 12/22.
Step-by-step explanation:
First, add all the marbles together.
6 + 10 + 4 + 2 = 22
10 + 2 = 12
= 12/22
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Write the opposite of each number. -25 _______ 0 _______
Answer:
25
0
Step-by-step explanation: