[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]
now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.
let's recall something else, that same/same = 1, so
[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]
therefore
[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]
evaluate the following division: (3b-6a)÷(30a-15b)
Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
INTRODUCTION~ Algebraic Forms and their Elements
Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:
1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Forms
1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION(3b-6a)÷(30a-15b)
= (-6a + 3b) ÷ (-5(-6a+3b))
= (-6a+3b)/(-5(-6a+3b))
= -1/5
Conclusion:So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle School
Subject: Math
Material: Chapter 2.1 -Operations of Algebraic Forms
Categorization Code: 7.2.2.1
Keywords: Simple form of algebra
A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.
how do you solve x^0.5=8
Answer:
The answer is x=64Step-by-step explanation:
Hello !Because, [tex]x {}^{0.5} = 8 \\ x {}^{ \frac{1}{2} } = 8...changing \: it \: to \: fraction \\(x {}^{ \frac{1}{2} } ) {}^{2} = 8 {}^{2} ...squaring \: both \: sides \\ (x {}^{ \frac{1}{2} } ) {}^{2} = x \\ 8 { }^{2} = 64 \\ therefore \: the \: value \: of \: x = 64.[/tex]A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was
Ok ok ok ok ok ok ok
Answer:
ok ok ok ok ok
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
-13°F is the change in temperature.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Hence, -13°F is the change.
The cubic curve y = x'3 + ax'2 + bx + c passes through the point (1,3) and has tangent line y = x - 2 at the point (0,-2). What are the values of a, b, and c?
Answer:
answer to your question is: a = 3, b = 1, c = -2
Help help help math math math
18
Step-by-step explanation:
X-3=15
Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.
X=15+3
X=18
Answer:
18
Step-by-step explanation:
integrate (1-x³)² with respect to x
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]
-7f+6=116+3f
help me plss
subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2
A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?
Answer:
8 in
Step-by-step explanation:
because 4 x 2 = 8 inches squared
Answer:
8 inches²
Step-by-step explanation:
formula for the area of a rectangle is l x w
2 inches x 4 inches = 8 inches.
Area is written in (unit)²
so, the area of the rectangle is 8 inches²
How do you multiply fractions? Please explain step by step to get marked
Answer: 10/3
Step-by-step explanation
2/3x5
2/3x5/1
Now goahead and multiply the top and bottom numbers
Evaluate f(-2) = -3x² - 2x
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
-2F=7x
solve this: 23.769km-----?-----m
1 km = 1000 m, so:
23,769 km = 23,769 · 1000 m = 23 769 m
Answer:
23769m
Step-by-step explanation:
Basicly, 3.769x 1000= 23769m
Please mark brainliest
I'm giving out a lot of points for this one!
Answer:
Step-by-step explanation:
AVERAGE rate of change looks only at the endpoints
m = Δy/Δx
m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)
m = 0.35 x 10⁶/ 685
m = 1241 beings / year
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
Jose and Gavin are reading the same book. At the beginning of the month, Jose was
on page 10 and Gavin was on page 37. Jose will read 17 pages per day and Gavin will
read 14 pages per day. Let J represent the page of the book that Jose is on at the end
oft days into the month, and let G represent the page of the book that Gavin is on at
the end oft days into the month. Write an equation for each situation, in terms of t,
and determine what page Jose and Gavin will be on on the day they are both on the
same page.
Using linear functions, it is found that:
Jose's equation is: [tex]J = 17x + 10[/tex].Gavin's equation is: [tex]G = 14x + 37[/tex].They will be on the same page on the 9th day.Linear function:A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Jose:
Initially, he was on page 10, hence [tex]b = 10[/tex].He reads 17 pages per day, hence [tex]m = 17[/tex].Hence, Jose's equation is: [tex]J = 17x + 10[/tex].Gavin:
Initially, he was on page 37, hence [tex]b = 37[/tex].He reads 14 pages per day, hence [tex]m = 14[/tex].Hence, Gavin's equation is: [tex]G = 14x + 37[/tex].The day they will both be on the same page is x for which:
[tex]J = G[/tex]
Hence:
[tex]17x + 10 = 14x + 37[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3}[/tex]
[tex]x = 9[/tex]
They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
Sam earns $12 per hour. The store offers him a raise--a 6% increase per hour. After the raise,
how much will Sam make per hour?
Answer:
Solution here
Earning=$12 per hour
Raise=6%
The amount earned by Sam after raise=6×12/100
=72/100
=$0.72
The total amount made by Sam after the raise = $12+$0.72
=$12.72
PLS HELP ILL MARK BRAINLIEST
TechWiz Electronics makes a profit of $35 or each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold
combined total of 143 MP3 and
DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression
TechWiz made from MP3 and DVD players last week.
for the combined total profit (in dollars)
Answer:
Total profit=$35x+$18(130-x)
Total profit=$35x+$2340-$18x
Total profit=$17x+$2340
Step-by-step explanation:
50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
Triangles ABC and EDC are similar.
ACE and BCD are straight lines.
Angle BAC = angle DEC
Angle CBA= angle CDE
AB = = 6 cm, BC = 2.5 cm, CD = 7.5 cm and CE = 10.5 cm.
Answer:
18cm
Step-by-step explanation:
The ratio is given by: 7.5/2.5=3
DE = 6 × 3 = 18 cm
or
DC/CB = x/AB
7.5/2.5 = x/6
3=x/6
x=6×3=18 cm
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:
[tex]r = x^{2}+y^{2}[/tex] (1)
Where [tex]r[/tex] is the square distance function.
We can modify (1) as following:
[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]
[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]
[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]
[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
[tex]-4\cdot y +12 = 0[/tex]
[tex]y = 3[/tex]
Second derivative test
[tex]r'' = -4[/tex]
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].
Closest points: [tex](0, -1)[/tex].
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943
help me with this please
Step-by-step explanation:
the scale factor is 1 : 150
you don't know what that means ?
it means that every unit (here cm) in the diagram corresponds in reality to 150 units.
so, 1 cm in the diagram is 150 cm in reality.
therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.
length : 5 × 150 = 750 cm (7.5 m)
breadth : 3 × 150 = 450 cm (4.5 m)
and the perimeter is as for every rectangle :
2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =
= 2400 cm (24 m)
100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x
Answer:
8+15+4x and 3x+15+3x
Step-by-step explanation:
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answer:
Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too
A line with a slope of -8/3
passes through the point (0, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
y = - [tex]\frac{8}{3}[/tex] x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line
what’s is the surface area of the tent if the length is 2 meters, the width is 2 meters, and the height is 3 meters?
Answer:
45 is the right answer
Step-by-step explanation:
The sum of two consecutive integers is 75.
What is the first number?
Answer:
37
Step-by-step explanation:
n = 1st number
n+1 = next consecutive number
n + n+1 = 75
2n + 1 = 75
2n = 74
n = 37
n+1 = 38
Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12. a. 0 less-than-or-equal-to x less-than-or-equal-to 8 c. 8 less-than-or-equal-to x less-than-or-equal-to 16 b. x less-than-or-equal-to 8 d. no solution Please select the best answer from the choices provided A B C D
Answer:
A. 0 <= x <= 8
Step-by-step explanation:
4 <= x + 4 <= 12
Remove 4 from all sides
4 - 4 <= x + 4 -4 <= 12 - 4
0 <= x <= 8
The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.
Answer:
9, 9√3
Step-by-step explanation:
The ratios of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
The shortest is half the longest. If the longest is 18, the others are 9, 9√3.