Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Find the missing angle measure(s).
Yº
Z
X
43°
W
Answer:
90°grados es la respuesta
Find a difference equivalent to the product shown.
5(x-y)
answers (one is right.)
5x-5y
5x-y
x-5y
-5x-5y
Answer:
5x-5y
Step-by-step explanation:
You are using the distributive property
You can also think of it as multiplying 5 by x and 5 by y and then subtracting it just as it is subtracting in the original equation
Answer:
5x-y.
Step-by-step explanation:
so its 5 times x, minus 7. easy. 5x,-y. rephrase it. hhen a variable is next to a number, it means multiply.
DONT ANSWER IF YOU DONT KNOW THE ANSWER
Simplify each expression
mc0011
mc0012
mc0013
mc0014
mc0015
Answer:
A
Step-by-step explanation:
A is the answer for the first question I did the math on edge
The second one after is B
We are Simplifying Rational Expressions with Negative Exponents
Answer:
A.) Afriv
Step-by-step explanation:
Heat oven to 350°F. Generously grease 12-cup fluted tube pan with shortening or cooking spray. In large 1-gallon plastic food storage bag, mix granulated sugar and cinnamon.
2
Separate dough into 16 biscuits; cut each into quarters. Shake in bag to coat. Arrange in pan, adding walnuts and raisins among the biscuit pieces. Sprinkle any remaining sugar over biscuits.
3
In small bowl, mix brown sugar and butter; pour over biscuit pieces.
4
Bake 30 to 40 minutes or until golden brown and no longer doughy in center. Loosen edges of pan with metal spatula. Cool in pan 5 minutes. Turn upside down onto serving plate; replacing any biscuit pieces and caramel from pan. Pull apart to serve. Serve warm.
giving brainliest and 20 points! please solve this. :D
Answer:
1.) 7x+5y
2.)-19m+14r
3.)22b+40c
4.)10x+25
5.)7m+7
Step-by-step explanation:
ez
What is the surface area of this wedge.?
Answer:
the surface area of the wedge is 360ft²
Step-by-step explanation:
6x5x3x4 = 360ft²
Aiden is eating from the box of cereal shown. Find the total surface area of the box. cereal 13.5 in. 2.5 in. 8 in. Total surface area?
Answer:
Step-by-step explanation:
Two of the sides are 13.5 inches by 2.5 inches, two sides are 13.5 inches by 8 inches, and two sides are 2.5 inches by 8 inches.
Surface area = 2*13.5*2.5 + 2*13.5*8 + 2*2.5*8
50 de 100 ün en sade halı acil
Answer:
srry buddy I don't understand your language
I am from India
can ask it in English
then I could help you
1/3 plus 1/4 so what is the answer
Answer:
The answer is 7/12
Answer:
7/12
Step-by-step explanation:
I have a quick question please someone answer Is 5/8 irrational?
Answer:
no
Step-by-step explanation:
5/8=0.6250 so its rational
Answer: no
Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)? Explain
Answer:
yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular
Step-by-step explanation:
solve the equation for x and list all possible value for x. [x-9]+2=5
absolute value.
Answer:
(4-9)+2=5
Step-by-step explanation:
hope it's it's right
The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]
For point a:
Moment generating function of X=?
Using formula:
[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]
[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]
integrating the values by parts:
[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]
[tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]
Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]
In point b:
[tex]E(X^n)=?[/tex]
Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]
form point (a):
[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]
Differentiating the value with respect of t
[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]
when [tex]t=0[/tex]
[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]
[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]
What is the value of (2/3)^3?
8/9
5/12
6/27
8/27
differentiate with respect to x the following functions y=6x²-4x+17
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, here
y = 6x^2 -4x +17
so, dy/dx = d(6x^2-4x+17)/dx
===> hence, dy/dx = 12x -4 ( used formula d(x^n) /dx = nx^n-1 )
======> dy/dx = 12x-4
A battery company produces 20,000 batteries per day. Each day they randomly select 200 to test. If they find that 4 are dead, how many dead batteries would they expect to find among the entire 20,000?
Answer: 400 because when they test 200 they get that 4 are dead wich is 1/50 of 200 so 1/50 times 20,000 is 400
Step-by-step explanation:
Which of the following functions is graphed below?
A. y = |x + 5|+ 4
B. y = |x -5| + 4
C. y = |x + 5| - 4
D. y = |x- 5| - 4
Answer:it’s c y=|x-5|-4
Step-by-step explanation:
The correct function which is graphed is,
D. [tex]y = |x- 5| - 4[/tex]
We have to give that,
A graph of a function is shown in the image.
Now, From the graph;
Two points on the function are (0, 1) and (5, 4).
Since both points are lies on the graph of a function, hence it satisfies the equation of the function.
From the given function,
A. [tex]y = |x + 5|+ 4[/tex]
Substitute x = 0, y = 1;
1 = |0 + 5| + 4
1 = 5 + 4
1 = 9
Which is not true.
B. [tex]y = |x -5| + 4[/tex]
Substitute x = 0, y = 1;
1 = |0 - 5| + 4
1 = 5 + 4
1 = 9
Which is not true.
C. [tex]y = |x + 5| - 4[/tex]
Substitute x = 0, y = 1;
1 = |0 + 5| - 4
1 = 5 - 4
1 = 1
Which is true.
And, Substitute x = 5, y = 4;
4 = |5 + 5| + 4
4 = 10 + 4
4 = 14
Which is not true.
D. [tex]y = |x- 5| - 4[/tex]
Substitute x = 0, y = 1;
1 = |0 - 5| - 4
1 = 5 - 4
1 = 1
Which is true.
And, Substitute x = 5, y = 4;
4 = |5 - 5| + 4
4 = 0 + 4
4 = 4
Which is true.
To learn more about the function visit:
https://brainly.com/question/11624077
#SPJ4
do you think this answer is referring to 11 or 12 ?
Answer:
11
Step-by-step explanation:
2.
Find the products using
a. (5x - 2)(5x + 2)
(giving brainiest)
A pool is filled with 2,980 quarts of water. How many gallons of water are in the pool?
A. 4 gallons
B. 745 gallons
C. 2,980 gallons
D. 11,920 gallons
Answer:
b.
Step-by-step explanation:
What is (8 + (−2) − 4) and (3 − 5)
Step-by-step explanation:
(8+(-2)-4)
=8-2-4
=2
(3-5)
=-2
Radius = 5 CD = 8 Find AE
Answer:
123
Step-by-step explanation:
213
Cory has received the following grades this term: 75, 87, 90, 88, 79. Find the mean
Answer:
83.8
Step-by-step explanation:
first you add the grades together: 75 + 87 + 90 + 88 + 79 = 419
then you divide by the amount of grades: 419 / 5 = 83.8
HOLA! PLEASE HELP ME ASAP!!! I will give brianlest answer!
Answer:
The value for x should be 35
Step-by-step explanation:
Answer:
32 degrees
Step-by-step explanation:
35 + x + 29 + 84 = 180
148 + x = 180
x = 32
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
help follow the polyas method
Answer:
Step-by-step explanation:
Understanding the problem:
x -----> number of munchkins
y -----> number of yema
Devise a plan:
x + y ≥ 10
3x + 2y ≥ 50
Carry out:
y ≥ -x + 10 ------------(I)
3x + 2y ≥ 50
2y ≥ -3x + 50
y ≥ [tex]\frac{-3}{2}+\frac{50}{2}[/tex]
[tex]y \geq \frac{-3}{2}x + 25[/tex]
Answer:
Understanding the problem:
x -----> number of munchkins
y -----> number of yema
Devise a plan:
x + y ≥ 10
3x + 2y ≥ 50
Carry out:
y ≥ -x + 10 ------------(I)
3x + 2y ≥ 50z + 4 = 75 I need help
Answer:
z = 71
Step-by-step explanation:
this is the answer for this equation
Answer:
z=71
Step-by-step explanation:
Can some one please help me?
First one: 7
Second one: 22
Third one: 137
Hope this helps.
if a bag of rice cost #120,how many kilograms of rice can one buy for #40
Complete Question:
If a 100kg bag of rice cost #120, how many kilogram of rice can one buy for #40
Answer:
33 kilograms.
Step-by-step explanation:
Given the following data;
100 kg of rice = #120
1 kg of rice = #x
Cross-multiplying, we have;
100x = 120
x = 120/100
x = 1.2
Now, to find how much #40 can buy;
[tex] Quantity = \frac {Cost}{Cost \; of \; a \; bag} [/tex]
Substituting into the equation, we have;
[tex] Quantity = \frac {40}{1.2} [/tex]
Quantity of rice = 33.33 ≈ 33 kilograms.
Method II
100 kg of rice = #120
x kg of rice = #40
Cross-multiplying, we have;
120x = 40 * 100
x = 4000/120
x = 33.33 ≈ 33 kilograms.
Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.
Answer:
6x=18
x=18/6
x=3.
-3x=15
x=15/-3
x=-5
7x=-63
x=-63/7
x=-9
5x-3=12
5x=12+3
5x=15
x=15/5
x=3
-4x+1=13
-4x=13-1
-4x=12
x=12/-4
x=-3
-x+9=16
-x=16-9
-x=7
x=7/-1
x=-7
