Answers
Answer:
We will use a Pythagorean identity and alegbra to prove this.
sin^2 + cos^2 = 1, dividing by cos^2 gives
tan^2 + 1 = sec^2.
Now, breaking down the fraction into parts and simplifying gives:
(1-sin^4)/cos^4 = 1/cos^4 - sin^4/cos^4 = sec^4 - tan^4
Now use difference of squares factoring from alegbra.
= (sec^2 + tan^2)*(sec^2 - tan^2)
By rewriting our Pythagorean identity to
sec^2 - tan^2 = 1 and tan^2 = sec^2 - 1,
we can finish the problem.
= (sec^2 + tan^2) * 1 = sec^2 + tan^2
= sec^2 + (sec^2 - 1) = 2*sec^2 - 1.
Related Questions
please help me !
this work is due tommorow!!
ks3 year 8!
Answers
Answer:
£2578.8
Step-by-step explanation:
49×12.80= £627.2
if 49 of the people are under 16, then the rest are 16 and above
so, 155-49 = 106
number of students at 16 and above are 106
then, 106× £18.60 = £2578.8.
What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?
Answers
Answer:
y - intercept = 5
Step-by-step explanation:
Equation: y = mx + b
Input the given values
3 = -1(2) + b
3 = -2 + b
5 = b
-Chetan K
What is the solution to
4
+ 5 = 2 ?
X-3
Answers
Answer:
what you men
Step-by-step explanation:
Answer:
This may not be right, but I tried! I believe its 6.
Step-by-step explanation:
Find the number of ways all 9 letters of the word EVERGREEN can be arranged if (i) there are no restrictions, (ii) the first letter is R and the last letter is G, (iii) the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected. (iv) Find the number of selections which contain no Es and exactly 1 R. (v) Find the number of selections which contain no Es.
Answers
The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
To know more about permutation and combinations, here
https://brainly.com/question/3901018
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3. Marilyn hit a golf ball on the ground with her driver. Use
the general function for a projectile to write a function
that shows the height in feet of her golf ball as a function
of time. The ball was hit with an initial vertical velocity of
130 feet per second.
h(t) = -16t2 + 130t
a) How long will Marilyn's ball stay in the air?
b) What was the maximum height of the ball?
Answers
It will take the ball 4.0625secs to stay in the air
The maximum height of the ball is 264.0625m
Given the function representing the height reached by the golf expressed as;
h(t) = -16t^2 + 130t
The velocity function is expressed as:
v(t) = -32t + 130
At maximum height, the velocity of the ball will be zero, i.e v(t) = 0
0 = -32t + 130
32t = 130
t = 130/32
t = 4.0625
Hence it will take the ball 4.0625secs to stay in the air
b) Substitute t = 4.0625 into the height function to have:
h(t) = -16t^2 + 130t
h(t) = -16(4.0625)^2 + 130(4.0625)
h(4.0625) = -264.0625 + 528.125
h(t) = 264.0625m
Hence the maximum height of the ball is 264.0625m
Learn more on velocity function here: https://brainly.com/question/10962624
Anyone that can answer it right gets 30!
Answers
Answer:C)
it's 13
A) is 11
B) also 11
C) 13=13
D)343
Answer:
The correct choice is c. 1+2•6
Step-by-step explanation:
5+2³ = 1+2•65+8 = 1+1213 = 13Find (a) the axis of symmetry and (b) the vertex of the graph of the function.
Ax) = 4x² - 8x
Answers
Step-by-step explanation:
I am not sure, what is the level of math for you currently.
do you do differentiation and derivatives already ?
because that is how I find "extreme points" and "turning points" of a function right away.
the vertex is the turning point for a quadratic parabola.
that means the point where the slope (= the first derivative) of the function is 0.
and that is also where the axis of symmetry is.
8x - 8 = 0
8x = 8
x = 1 (axis of symmetry).
y = 4×1² - 8×1 = 4 - 8 = -4
so, the vertex is (1, -4)
in case you don't understand derivatives yet, there is a shortcut for this for quadratic equations (fyi - in fact, the generic result of the first derivative) :
y = ax² + bx + c
the x value for the axis is then
x = -b/(2a)
in our case
a = 4
b = -8
x = - -8/8 = 8/8 = 1
and then y is calculated as above.
The circumference of a circle equals 2 r, where r is the radius. Find
the circumference of a compact disc that has a radius of 6.0 cm
Answers
Answer:
The answer is 37.68 or 37.7
Step-by-step explanation:
What you have to do first is find the diameter. So you have to multiply the radius (r) by 2 to get the diameter. 6 times 2 is 12. After that you, will multiply 12 by pi, or 3.14 to get 37.68
CAN SOMEONE PLEASE HELP ME WITH THIS
Answers
Answer:
i have no clue
Step-by-step explanation:
but you can look it up on brainly
describe these sets June July january
Answers
Answer:
Months that start with the letter "J"
Step-by-step explanation:
Mark has 6 more quarters than dimes in his pocket. In total, he has $3.60. Find the number of quarters and
dimes Mark has. All work must be shown.
Answers
Answer:
Mark has 12 quarters and 6 dimes.
Step-by-step explanation:
2) The school theater has 17 rows of seats. Each row has 53 seats. Which statement explains how to find the closest estimation of the total number of seats in the theater? A) 17 rounds to 10, 53 rounds to 50, and 10 = 50 = 500 seats. B) 17 rounds to 10, 53 rounds to 60, and 10 x 60 = 600 seats. 9. 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats. D) 17 rounds to 20, 53, rounds to 60, and 20 x 60 = 1,200 seats.
Answers
Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats
Step-by-step explanation:
*5 or more, add one more. 4 or less, give it a rest (leave it alone)*
17 rounds to 20
(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)
53 rounds to 50
(the 3 is less than 4 so we leave the 5 as is, making it 50).
Therefore, 20x50 = 1000 seats or 20:50=1000
How are commercial banks are funded?
Answers
Answer:
Commercial banks are funded through Customer deposits as well as with the fees charged against their services provided to customers. The Banks provide many services like funding to customers and many form loans, they also deposit their money.
Step-by-step explanation:
this is the correct answer happy
Answer:
CUSTOMER DEPOSITS
Step-by-step explanation:
CORRECT VIA EDMENTUM 2022
someone help please!!
Answers
Answer:
a - 145
b - 35
c - 145
d - 70
e - 70
f - 110
g - 55
h - 125
i - 55
j - 50
k - 50
l - 130
m - 50
n - 80
o - 50
p - 23
q - 89
r - 68
s - 157
t - 112
u - 48
v - 132
w - 132
x - 48
y - 48
z - 132
A - 48
B - 94
C - 86
D - 94
E - 47
F - 133
Please Help Me With this question.
Answers
Answer:
Y=76x
Step-by-step explanation:
if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.
Answer:
Step-by-step explanation:
The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them
(380 - 228) / (5 - 3) = 152/2 = 76
Not all problems work out this nicely.
The answer is
y = 76x
In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.
I’m so confused, can someone help me? I’ll give brainlist
Answers
Answer:
16
Step-by-step explanation:
the square root of 16 is 4. (4x itself is 16)
out of the options, that is the only one that has a whole number as the square root.
Suppose you plan to take a survey of Math 146 students asked about their overall grades at CBC. 22 students were surveyed, and it was found that the average GPA of the 22 sampled students was a 3.2, with a standard deviation of 0.9 points. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 90% confidence interval for the true mean GPA of Math students, how many samples would be necessary to reduce the margin of error to 0.2 points?
Answers
Step-by-step explanation:
we have the data set given below here and using it, we want to find the sample mean X. Bar, the sample standard deviation S. And constructed 99% confidence interval for the population we knew, assuming the population is normally distributed. So since we have this data we can find expire and s using the appropriate definitions expire, is that some of the data divided by n 2.353 and s. Is the square root of the sum of deviations of the mean square divided by n minus one. In this case 1.3 Now with X. Bar and sample standard deviation S, we can use a student's t distribution to construct this confidence interval. So we can identify the appropriate T score. So for the degree of freedom and minus one equals 14 and critical values um providing probability 140.99 for the confidence interval, to identify T C equals 2.977 Now, with this T. C, we can identify the margin of error E, which is given by this formula plugging in our T C. S and N. We obtain E equals 0.572 And now plugging into our confidence interval formula, which is that new falls between a sample mean minus C, and sampling plus E gives us our confidence interval. That new is between 1.781 and 2.9 to 5 with 99% confidence.
A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?
Answers
Answer:
If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.
Step-by-step explanation:
240 + 40x = 600
- 240 -240
40x = 360
40x/40 = 360/40
x = 9 students
What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet
Answers
Area of a rectangle= Base x Height
Base= 7ft
Height= 3ft
A= 7 x 3= 21 ft^2
Answer:
21ft^2
Step-by-step explanation:
A=LW
A= 3ft x 7ft
A=21ft^2
If u get this right u get branlnest
Answers
Answer:
Option 4
Step-by-step explanation:
[tex]2(a+6)[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2+6)=2(8)=16[/tex]
-------------------------------
Check first option:
[tex]4a+8[/tex]
Substitute [tex]a=2[/tex]:
[tex]4(2)+8=8+8=16[/tex]
Since 16 is not greater than 16, the first option is incorrect.
-------------------------------------------------------------------------------------
Check second option:
[tex]2a+a^2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+2^{2} =4+4=8[/tex]
Since 8 is not greater than 16, the second option is incorrect.
-------------------------------------------------------------------------------------
Check third option:
[tex]2a+12[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+12=4+12=16[/tex]
Since 16 is not greater than 16, the third option is incorrect.
-------------------------------------------------------------------------------------
Check fourth option:
[tex]a^4+2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2^4+2=16+2=18[/tex]
Since 18 is greater than 16, the fourth option is correct.
A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost
Answers
Answer:
The dryer cost $350.
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
809 - 59 = 750
750 / 2 = 375
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answers
Answer:
m = [C. 0.5]b = [A. 3]Step-by-step explanation:
Slope- intercept form:
y = mx + b, where m is the slope, b is the y-interceptGiven points:
(2, 4) and (-4, 1)The slope is:
m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5Use point (2, 4) to find the value of the y-intercept:
y = mx + b4 = 0.5*2 + bb = 4 - 1b = 3A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?
Answers
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways
Learn more here:
https://brainly.com/question/23589217
Answer:
360
Step-by-step explanation:
6!/(6-4)!
someone please answer this I'll mark u as the brainest please anyone it's hard for me.
Answers
Answer: D
Step-by-step explanation:
Since it is subtracting x from 20. D tells the change from 20 dollars after buying the notebook or x.
A is 20 + x
B is 20/x
C is 20x or 20 * x
D is 20 - x
Answer:
B
Step-by-step explanation:
you can see the words cut and smaller so that indicates subtraction
Can someone help me with this please?
Answers
Answer:
0.5236 radians or 30 degrees
Step-by-step explanation:
We want to find the angle based on the opposite side and the hypotenuse. Therefore, we need to use the inverse sine function:
Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]
Simplifying the function, we get:
Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]
Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.
Step-by-step explanation:
sin θ = 5cm/10cm
sin θ = ½
sin θ = sin 30°
therefore, θ = 30°.
hope this helps you.
last month adhem ate 5 apples , 8 bananas , 7 Peaches , 10 oranges what the ratio of apples to the total of the fruit
Answers
Answer: 5:30
Step-by-step explanation: there are 5 apples and 30 total fruits.
Answer:
5:30 or simplified 1:6
Step-by-step explanation:
There are 30 fruits including the apples, and the apples only make up 5 of the fruits.
whats the answer can someone answer please
Answers
Answer:
Step-by-step explanation:
21.
4(x + 7) - 2x
4x + 28 - 2x
2x + 28
answer: 2x + 28
22.
8(a + b) + 5(2a - 5b)
8a + 8b + 10a - 25b
18a - 17b
answer: 18a - 17b
-------------------------------------
Jhon's solution is wrong
1. first mistake
when you see this
10^5/10^4
the right solution is 10^(5 - 4) = 10^1 or just 10
2. second mistake
6.4/7.2 he inverted the fraction which is wrong
you can only invert the fraction when the power is negative
----------------------------------------------------------
now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10
or 0.9 x 10^1
or 8.9
(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table to answer:
Answers
Answer:
2%
Step-by-step explanation:
Will give brainliest
Answers
Answer:
down - up +
Step-by-step explanation:
4.
Identify the vertex of the parabola.
A. . (0, 1)
B. (1, 0)
C. (−1, 0)
D. (0, −1)
Answers
Answer:
B. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
...................................................................................................................................................
1,0 should be the correct answer
Answer:
B. (1, 0)
Step-by-step explanation:
The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).