Answer:
It is an identity, proved below.
Stepbystep explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
[6 8 10 ]
The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60 A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60 A ?
Each element of the matrix are multiplied by the scalar to form a matrix of
same size as the original matrix in matrix scalar multiplication.
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]Reasons:
The matrix A is presented as follows;
[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]
Using the multiplication of a matrix and a scalar, we have;
[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]
Therefore;
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]
Learn more about matrices here:
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PLEASE HELP IM REALLY BEHIND AND I CANT MESS THIS UP
Answer:
13, 9, 5, 1
Stepbystep explanation:
y = 2(2) + 9
y = 4 + 9
y = 13
y = 2(0) + 9
y = 0 + 9
y = 9
y = 2(2) + 9
y = 4 + 9
y = 5
y = 2(4) + 9
y = 8 + 9
y = 1
PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Stepbystep explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
5
5
O A.  1 / 1
O B. 3
C.3
Answer:
The correct answare should be slope of 3.
Stepbystep explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Stepbystep explanation:
67pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
4. Find the difference. (7p + 10)  (p + 12)
Answer:
8p 2
Stepbystep explanation:
(7p + 10)  (p + 12) =
7p + 10  p  12 =
8p 2
Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 33
A. 0
B.7
C.8
D.24
Answer:
this has to do with trial and error
since N=21÷33
so 21÷33=4
therefore N=4
substitute for N
2×4=8
8×3=24
therefore 24÷3=2×4
HELP ME PLEASE GUYS ! :)
Answer:
(12, 1)
Stepbystep explanation:
Arbitrarily choose y = 1. Then x  6y = 6 becomes
x = 6(1) + 6, or x = 12.
Thus, one (of many) point on the graph is (12, 1).
Complete the sentence.
Twentyfour is % of 80.
Answer: 24 of 80 is 30%
Stepbystep explanation:
24 of 80 can be written as: 24/80
To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100
= (24x100 / 80 ) x 1/10 = 30/100
Therefore, the answer is 30%
If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.
pls help…………. …………………
Answer:
d
Stepbystep explanation:
smallest slope
leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces
Stepbystep explanation:
we need to find how much 14/70 is equal to ? over 100
100/70=1.42857142857
14x1.42857142857=20
Therefore she drinks 20/100 she drinks before she goes on a ride.
or 20%
it's 20
I got it right on iready
show work! my teacher told me this was wrong, what's the correct answer?
Answer:
it is Ahmed shoevked more your calculations are wrong
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?
Answer:
5 Problems
Stepbystep explanation:
Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]
Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]
Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]
Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]
Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]
Cross out the common factor: 5
get the result: 5
Answer: 5
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
Learn more about exponent rule here:
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PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT
Answer:
14,20
Stepbystep explanation:
please help mwah
ty :)
Answer:
y9 = 4(x+2)
Stepbystep explanation:

Hope that helps
add the quotient of 9 and 7 to d
Answer:
9 ÷ 7 + d.
Stepbystep explanation:
FIND THE MISSING VALUES
Answer:
i think x = 17
Stepbystep explanation:
(2x4)+(3x+20)+(5x6) = 180°
10x+10 = 180
10x = 18010
10x = 170
x = 170/10
x = 17
What is a if 5 to the power of a is 1/125
Answer:
its 84.987
Stepbystep explanation:
Trust me im smart :)
Arman weighs 35 kg. Rosie weighs 3 times as much. How many GRAMS does Rosie weigh?
Answer: 105k
Stepbystep explanation:
1. Multiply the number by three (35kg x 3)
2. Use your answer (105kg) and convert it to grams
3. GET YOUR ANSWER = 105k Grams
4. Therefore, Rosie weighs 105k grams
(5j  2q + 2/5)  (4  3j  1/2q)
Answer:
8j  [tex]\frac{3q}{2}[/tex]  [tex]\frac{18}{5}[/tex]
Stepbystep explanation:
hope this helps! :D
5.
In Vietnam, the probability of rain is 70%. Find the
probability of it raining at most 2 days in a week.
a) .9712
b) 0.0250
c) .0287
d) .2988
Answer: the answer is C which is .0287
The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.
Let's use the binomial probability formula for this calculation:
The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:
P(X = k) = C(n, k) * p^k * (1  p)^(n  k)
where:
C(n, k) is the binomial coefficient, equal to n! / (k! * (n  k)!)
p is the probability of success (rain in this case)
n is the number of trials (number of days in a week)
In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.
Now, let's calculate the probabilities for k = 0, 1, and 2:
Probability of raining 0 days in a week:
P(X = 0) = C(7, 0) * 0.70^0 * (1  0.70)^(7  0)
Probability of raining 1 day in a week:
P(X = 1) = C(7, 1) * 0.70^1 * (1  0.70)^(7  1)
Probability of raining 2 days in a week:
P(X = 2) = C(7, 2) * 0.70^2 * (1  0.70)^(7  2)
Now, add these probabilities together to get the probability of it raining at most 2 days in a week:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Calculate the values using the binomial coefficients:
C(7, 0) = 1
C(7, 1) = 7
C(7, 2) = 21
Now, calculate the probabilities:
P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187
P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775
P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215
Finally, add these probabilities together:
P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087
Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
So, the correct answer is (b) 0.0250.
Learn more about probability from the link given below.
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Please help me solve #9, and please 10
Answer:
#9. y = 250x
#10. y = 2500, x = 100
Stepbystep explanation:
y = mx +b
y: yvalue
m: slope
x: xvalue
b: yintercept
since your answer for #8 is 250, the slope would be 250 or m would be 250
y = 250x+b
now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,250)
plug in the points
250 = 250(1)+b
solve for b
b = 0
thus the equation is y = 250x + 0 or y = 250x
#10 plug in x values and y values into equation to get answer
x = 10 > y = 250(10) = 2500
y = 25,000 > 25,000 = 250x
x = 25,000/250
x = 100
Calculate the value of 2x and 3x
Answer:
2x= 88
3x = 132
Stepbystep explanation:
The sum of the angles that form a circle is 360
2x+3x+140 = 360
5x+140 = 360
5x+140140 = 360140
5x= 220
Divide by 5
5x/5 = 220/5
x=44
2x= 2*44=88
3x = 3*44=132
Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/53x)
Answer:
4  30x
Stepbystep explanation:
10(2/53x)
(10 x 2/5)  (10 x 3x)
4  30x
Stepbystep explanation:
10 ×2/5 = 4
10 × 3x =  30x
= 4  30x
Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.
Answer:
x > 14 ; x < 12
Stepbystep explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x6+10>50, so x > 14
Area < 138, so that means 3*(4x2) < 138, so x < 12
Write an equation in pointslope form that has a yintercept at (0, 12) and also contains the point (1,2)
Answer:
y2=10(x1).
Stepbystep explanation:
The point slope form is yy_1 = m(xx_1). Now we find the slope, which is 212 (10)/10(1). This gives us 10. Now we plug the coordinates from one of the points and the slope to get y2=10(x1).
The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?
Answer:
18° , 72° , & 90°
Stepbystep explanation:
First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°
The equation will be:
1x + 4x + 5x = 180°
10x = 180°
divide both sides by 10 to get 1x on the left side:
[tex]\frac{10x}{10} =\frac{180}{10}[/tex]
x = 18
Then plug 18 in, instead of 'x', similar to in the first step:
1(18) = 18°
4(18) = 72°
5(18) = 90°
On 11/23/21, Genius Sports (GENI) went from $9.90 to $10.40. On the same day, Ondas Holdings (ONDS) went from $7.90 to $8.50.
How much more % gain was ONDS compared to GENI to the nearest hundredths?
Answer:
GENI increased 5.1%
ONDS increased 6%
I am guessing it would be 1% increase