Answer:
Step-by-step explanation:
To prove sin(a+b)*sin(a-b)=cos^2b-cos^2a
we simplify the left side sin(a+b)*sin(a-b) first
sin(a+b) = sin a cos b + cos a sin b
sin(a-b) = sin a cos b - cos a sin b
sin(a+b)*sin(a-b) = (sin a cos b + cos a sin b) x (sin a cos b -cos a sin b)
sin a cos b((sin a cos b + cos a sin b) - cos a sin b (sin a cos b + cos a sin b)
open the bracket
sin a cos b(sin a cos b) + sin a cos b(cos a sin b) -cos a sin b (sin a cos b)+ cos a sin b ( cos a sin b)
sin²a cos²b + sin a cos b cos a sin b - cos a sin b sin a cos b + cos²a sin²b
sin²a cos²b + 0 + cos²a sin²b
sin²a cos²b + cos²a sin²b
sin²a = 1-cos² a
sin²b = 1-cos² b
(1-cos² a)cos² b - cos² a(1-cos² b)
= cos² b - cos² a cos² b - cos² a +cos² a cos² b
choose like terms
cos² b - cos² a - cos² a cos² b + cos² a cos² b = cos² b - cos² a + 0
cos² b - cos² a
left hand side equals right hand side
Based on a sample of 150 textbooks at the store, you find an average of 70.69 and a standard deviation of 29.6. The point estimate is: Incorrect (to 3 decimals) The 99 % confidence interval (use z*) is:______
Answer:
Step-by-step explanation:
Given that:
The sample size = 150
The sample mean = 70.69
The standard deviation = 29.60
The sample mean is equal to the point estimate of the population = 70.69
At 99% confidence interval level is:
∝ = 1 - 0.99
∝ = 0.01
The critical value:
[tex]Z_{\alpha/2} = Z_{0.01/2} \\ \\ Z_{0.005} = 2.58 \ using \ Z \ tables[/tex]
The Margin of error = [tex]Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]= 2.58 \times \dfrac{29.6}{\sqrt{150}}[/tex]
= 2.58 × 2.4168
≅ 6.235
At 99% confidence interval; the estimate of the population mean lies within the interval:
= [tex]\overline x - E < \mu \ < \overline x + E[/tex]
= 70.69 - 6.235 < μ < 70.69 + 6.235
= 64.455 < μ < 76.925
= (64.455 , 76.925 )
It Costs $4 to skate each hour and there is a one-time fee of $5 for the skate rental. Which expression represents the cost to skate for someone who has to rent skates?
10 points 10 questions
Answer:
i diddnt get 10 points?
Step-by-step explanation:
t y ad 20
Answer: This is five points
Step-by-step explanation:
need help with trig!
Answer:
1. A. [tex]4.42[/tex]
2. F. [tex]20.9[/tex]
3. G. [tex]4.57[/tex]
4. A. [tex]4.50[/tex]
Step-by-step explanation:
A manufacturer determines that the number of drills it can sell is given by the formula
− 4p 60p 05 , where is the price of the drills in dollars and D is the number of 2 + 1 − 3 = D p
drills it sells.
a) At what price will the manufacturer sell the maximum number of drills?
b) What is the maximum number of drills that can be sold?
Correct question is;
A manufacturer determines that the number of drills it can sell is given by the formula,D = -4p2 + 160p – 305 where p is the price of the drills in dollars.
A) At what price will the manufacturer sell the maximum number of drills?
B) What is the maximum number if drills that can be sold?
Answer:
A) $20
B) D_max = 1295 drills
Step-by-step explanation:
We are given that the price for number of drills it can sell is given by the formula, D = -4p² + 160p – 305 where p is the price of the drills in dollars.
A) To find the price for selling maximum number of drills, we will find the derivative of the function D and equate to zero.
D' = -8p + 160
Equating to zero gives;
-8p + 160 = 0
8p = 160
p = 160/8
p = $20
B) maximum number of drills will occur at p = $20.
Thus;
D_max = -4(20)² + 160(20) – 305
D_max = -1600 + 3200 - 305
D_max = 1295
please help me with the question
The answer is 140%
1.4 x 100 = 140%
whats 5-1
hope you have a great day
and here is 10 coins :)
also ( you dont have to answer correctly either)
Please I need help !!!!
Answer:
The first one is c the second is b
Morgan knows that 3 gallons of water weigh 25 pounds. How much do 10 gallons of water weigh
Help me what is X/5-3/7
Answer:
15/7 or 2.142
Step-by-step explanation:
x=3/7×5
x=15/7
The
of-6 is 6, because it is 6 units from zero on
the number line.
Answer:
Solution in photo
Step-by-step explanation:
Pls respond algebra 1 super easy!! thank you!!
Evaluate the expression
Answer:
(A) 5/6
Just get the square root of 25/36
what is the Domain of f(x)?
what is the range of f(x)?
Answer:
Answer. The domain of f(x)=x is the whole of the real numbers R . The range is also the whole of R
Step-by-step explanation:
GOOD LUCK
If the temperature starts at -5 and then rises 13 degrees, what is the new temperature?
Answer:
The awnser is 9 degrees.
Step-by-step explanation:
Joelle wants to place an oversized image which is 30.51 cm wide so that it appears centered on the page. The width of the page is 21.59 cm. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?
-4.46cm
Step-by-step explanation:
The horizontal midpoint of the page is;
The horizontal midpoint of the image is given as;
For the image to be centered, these to midpoints must be on the same point in the axis.
If we take the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795cm. The distance that goes beyond this leftmost edge is computed as;
On the axis, this is on the negative side. Therefore, the horizontal position for the left edge of the image that Joelle should use to center the image is -4.46cm.
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter
Answer: The cost is $600
Step-by-step explanation: The wall is a rectangle whose area is calculated as:
S = 8.5 x 2
S = 17
However, there is a door on the wall which won't be whitewashed so:
Area of door:
[tex]S_{d}[/tex] = 2 x 1
[tex]S_{d}[/tex] = 2
Whitewashed area will be
S - [tex]S_{d}[/tex] = 17 - 2
S - [tex]S_{d}[/tex] = 15m²
To whitewash the wall, it costs $40 per each m², so:
Cost = 15*40
Cost = 600
To whitewash the wall, it will cost $600.
a physician orders 62.25 miligrams of a drug. It is available in 20.75 miligrams tablets. how many tablets should the nurses administer?
Answer:
3 tablets
Step-by-step explanation:
Since the drug is to be administered in 20.75 mg tablets, we divide 62.25 by 20.75 to get the number of tablets required.
62.25 ➗ 20.75 = 3
3 tablets are to be administered
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer: use math.......way
Step-by-step explanation
If NASA scientists use positive and negative numbers to represent the time surrounding a rocket launch, what would zero mean? one hour before take-off two minutes before take-off the moment of take-off two minutes after take-off \
Pls help me im on a quiz
Answer:
c
Step-by-step explanation:
What is the equation of the line with points represented in the table? What can yoy conclude about the line represented in the table? Select all that apply?
Answer:
yos
Step-by-step explanation:
no I cant
You buy a 20$ hat and pay an 8% tax. How much do you pay in tax
Answer:
$1.6
Step-by-step explanation:
Answer:
you would pay $21.60 to by the hat so the answer is * $1.60 in tax *
Which equation and solution represents the statement shown?
A number x increased by 4 is equal to 6.5.
Answer:
I believe the answer is
x + 4 = 6.5
-4 -4
__________
x = 2.5
Step-by-step explanation:
hope this helps!
PLEEAASSEE ANNSSWWEER I WILL GIVE BRAINLIEST AND 50 POINTS TO THE PERSON WHO ANSWERS FIRSTTT
Which of the following methods uses the decay of atomic particles in an object to find its exact age? (3 points)
A. Fossil dating
B. Geologic dating
C. Radioactive dating
D. Relative dating
Answer:
the answer is C
Step-by-step explanation:
radioactive dating is done by examining the atomic particles found in an object
Answer:
c
Step-by-step explanation:
Need help badlyyyyyy
Answer:
29 degree
because it is a linear pair and sum of Lanier pairs is 180 degree so one value is give and the other value we have to find by subtracting 151 from 180
mark me as the brainliest
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
3 Which of the following numbers would be found
to the right of the number - 35 on a number line?
Select two that apply.
A. -25
B. -79
C. -36
D. -12
Helppppp
Landon bought a tray of plants for $8.15. There were 16 plants in the tray. If Landon only bought 1 plant, about how much would it have cost?
Answer:
100$
Step-by-step explanation:
Answer:$100
Step-by-step explanation:
multiply 7/15 ,a 2 what is
answer
You receive wallet size photos of your school picture. The photo is 2.5" x 3.5"  you decided dilate the photo to 5" x 7" at the store. what is the scale factor of this dilation?
Answer:2
Step-by-step explanation:
5 divided by2.5=2
7 divided by 3.5=2 which makes your scale factor 2
The scale factor of the given dilation is required.
The scale factor of dilation is [tex]2[/tex].
The original dimensions are [tex]2.5"[/tex] by [tex]3.5"[/tex]
The final dimensions are [tex]5"[/tex] by [tex]7"[/tex]
Scale factor is given by
[tex]\dfrac{\text{Final dimension}}{\text{Initial dimension}}[/tex]
[tex]\dfrac{5}{2.5}=2[/tex]
[tex]\dfrac{7}{3.5}=2[/tex]
The scale factor of dilation is [tex]2[/tex].
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