Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
As we know,
[tex] \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }[/tex]and
[tex] \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }[/tex]now, let's add them as shown ~
[tex] \boxed{\sin(a + b) + \sin(a - b)} [/tex][tex] \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }[/tex][tex] \boxed{2 \sin(a) \cos(b) }[/tex]Related Questions
Claudia trabaja en una fábrica de carritos de supermercado, como criterio de calidad de la fábrica se establece que un carrito con mercancia que tenga una masa de 30kg no debe superar los 30N de fuerza de empuje para comenzar a moverse, ni los 20N para mantenerse en movimiento, cual es el valor de la aceleración que experimentara al soltarse?
Answers
El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.
En esta situación se requiere una fuerza de 30 N para alcanzar la fuerza estática máxima ([tex]f_{s}[/tex]), entonces la fuerza de fricción ([tex]f_{k}[/tex]) se reduce a 20 N mientras se encuentre en movimiento. Si consideramos que la fuerza externa de 30 N se mantiene durante el fenómeno físico, entonces tenemos que la aceleración neta ([tex]a[/tex]), en metros por segundo al cuadrado, experimentada por el carrito de mercancía es determinada a partir de las leyes de Newton:
[tex]a = \frac{F-f_{k}}{m}[/tex] (1)
Donde [tex]m[/tex] es la masa del carrito de mercancía, en kilogramos.
Si sabemos que [tex]F = 30\,N[/tex], [tex]f_{k} = 20\,N[/tex] and [tex]m = 30\,kg[/tex], entonces la aceleración neta del carro de mercancías es:
[tex]a = \frac{30\,N-20\,N}{30\,kg}[/tex]
[tex]a = 0.333\,\frac{m}{s^{2}}[/tex]
El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.
Invitamos a consultar esta pregunta sobre la fricción seca: https://brainly.com/question/19115001
Help please!!!!
Find the measure of the angle indicated
Answers
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.
Answers
Answer:
x= it will be 76
The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?
Answers
Answer:
subtract the new price from the original price
Step-by-step explanation:
To find the percent markdown, first subtract the new price from the original price
154.30-127.92
26.38
Then divide by the original price
26.38/154.30
.170965651
Multiply by 100% to get the percent decrease
17.0965651% decrease
The graphs below have the same shape. What is the equation of the blue
graph?
A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4
Answers
The graphs of f(x) and g(x) are related by transforming one of the two graphs.
The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
From the graphs, we have:
[tex]\mathbf{f(x) =x^2}[/tex]
f(x) is transformed to the right by 4 units.
The rule of this transformation is:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we start by calculating f(x - 4)
Given that:
[tex]\mathbf{f(x) =x^2}[/tex]
Substitute x - 4 for x in f(x)
[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]
Also, recall that:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we have:
[tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?
Answers
Answer:
Step-by-step explanation:
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Answers
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?
Answers
Answer:
Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)
Step-by-step explanation:
For the given data it will take 8.69 days for 80% of the material to decay.
What is half-life?A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.
It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.
N₀ = 65 milligrams
t1/2=27.7 days
N(t)=0.8(65 milligrams)=52 milligrams
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]
Here,
N(t) is the amount of the substance remaining
N₀ is the initial substance amount
t is the time elapsed
t1/2 is the half-life
Substitute the given values,
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]
[tex]t = 8.69 \ days[/tex]
Thus, for the given data it will take 8.69 days for 80% of the material to decay.
Learn more about half-life here,
https://brainly.com/question/24710827
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Find m<1
(Picture included)
Answers
Answer:
m<1 =30
Step-by-step explanation:
[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]
All of the points in the picture are on the same line *help asap*
Answers
Answer:
yes all of the points are on the same line
Step-by-step explanation:
Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising
Answers
Answer:
(a) (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising
(b) you should invest more when dP/dt > 0
Step-by-step explanation:
a)dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.
__
b)Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.
When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
Answers
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Learn more about suspended credit card here:
https://brainly.com/question/30940802
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-
Find the equation of the line that
is parallel to y = 2x – 7 and
contains the point (-3,6).
Answers
Step-by-step explanation:
The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too
2) with the slope and the two points givens, you can find the equation
Y-Y1 = m( X-X1) , Y-6 = 2[(X-(-3)] ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7
1,200 miles; 5% increase
Answers
Answer:
5%equals 5 divided by 100 equals 600
simplify 2/3x-4/9y+x+y
Answers
Here is ur perfect answer
Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.
Answers
they are all functions
Can someone help me please
Answers
Answer:
answer for question 7. 0.17×70 = $11.9
Answer:
Question 1:
bill = $70
tip percentage = 17%
so tip = 70x(17/100)
= 11.9$
Question 2:
total voters = 20500
supported voters percentage = 49%
so supported voters = 20500x(49/100)
= 10045
Question 3:
price = 154$
vat percentage =5%
so vat = 154x(5/100)
= 7.7$
This table represents the number of pounds, p, a puppy grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−94, y-intercept=−0.8
slope=−49, y-intercept = 2
slope=49, y-intercept=−0.8
slope=94, y-intercept = 2
Weeks, w Weight in pounds, p
0 2
2 6.5
4 11
6 15.5 help plz
Answers
Answer:
the answer is slope=94, y-intercept = 2
Step-by-step explanation:
i took the test
Graph this equation on the coordinate plane. y=−4/5x−1
Answers
Answer:
I attached an image.
Step-by-step explanation:
Answer:
(X then y)
(0,-1) (5,-5)
Step-by-step explanation:
I did the test
does the graph represent a function?
Answers
Answer:
No
Step-by-step explanation:
fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.
Isaiah has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
He needs at least 140 points for a free movie ticket.
Write and solve an inequality that can be used to determine xx, the number of visits Isaiah can make to earn his first free movie ticket.
Inequality =
x - and _
Answers
Answer:
654
Step-by-step explanation:
You need to times the first 2 numbers nad then after that that you divide and then walaa ANSWER: 654
בוoit
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answers
Answer:
10
Step-by-step explanation:
What the answer is please
Answers
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
what is the third term of the sequence defined by f(n)=2n-1
Answers
Answer:
your Answer has to be 5
Step-by-step explanation:
f(3) = 2x3 - 1
= 6 - 1
= 5
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.
Answers
Answer: $265
Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.
Hope this helps!
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
Answers
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.
Answers
1)2
2)4
3)6
4)8
5)10
6)12
7)14
8)16
9) 18
10) 20
According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?
Answers
I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer
Step-by-step explanation:
did you forget to write the whole question?
What is the slope of the line ?
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
4(x-3) < x+3, Where x ∈ W
Please help me
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]
[tex]\rm\longmapsto 4x-12<x+3[/tex]
[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]
[tex]\rm\longmapsto 3x-12<3[/tex]
[tex]\rm\longmapsto 3x-12+12<3+12[/tex]
[tex]\rm\longmapsto 3x<15[/tex]
[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]
[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]
[tex]\large\underline{\sf{Answer-}}[/tex]
Therefore:
[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]