25r(cos^2Ф-sin^2Ф)-6cosФ=0
The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates
What is rectangular coordinate system?The rectangular coordinate system consists of two real number lines that intersect at a right angle
In cylindrical coordinate, x=rcosФ
y=rsinФ
z=z
25(rcosФ)^2=25(rsinФ)^2=6rcosФ
25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ
25r^2(cos^2Ф-sin^2Ф)=6rcosФ
25r(cos^2Ф-sin^2Ф)-6cosФ=0
25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.
Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation
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What is your monthly take home pay if your take home pay is $897.84 every monday
Complete the sentence. The distance between 4 and 17 is
Answer:
13
Step-by-step explanation:
You just have to minus 17 with 4 to get the answer!
Distance = 17 - 4 = 13 units
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
A group of 29 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 4 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
(Do not include units in your answer.)
Answer here
Answer:
yes
Step-by-step explanation:
28/4 = 7 teams
1 is left without a team
14) Out of the following options, pick the one that
can be expressed as a rational number.
a) 1.16321632...
b) 0.00120345...
c) 5.672101234 ...
d) 2.75757575...
i have no idea what this means
In a recent national football league season tom brady philip rivers and aaron rodgers throw a total of 94 touchdown passes if we first had two more touchdowns and roger and six fewer than brady how many did brady have
Answer:
88 is the answer to the question
Factor completely: 5n^2 - 80
Answer:
Step-by-step explanation:
Factoring 5n2-9n-2
The first term is, 5n2 its coefficient is 5 .
The middle term is, -9n its coefficient is -9 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 5 • -2 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -9 .
-10 + 1 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 1
5n2 - 10n + 1n - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
5n • (n-2)
Add up the last 2 terms, pulling out common factors :
1 • (n-2)
Step-5 : Add up the four terms of step 4 :
(5n+1) • (n-2)
Which is the desired factorization
Help please I cant find my answer
Answer:
see explanation
Step-by-step explanation:
1
4(5 + 3n) - 7 ← distribute parenthesis by 4
= 20 + 12n - 7 ← collect like terms
= 12n + 13
2
6 - (10n + 8) ← distribute parenthesis by - 1
= 6 - 10n - 8 ← collect like terms
= - 10n - 2
combining (adding) the 2 expressions
12n + 13 - 10n - 2 ← collect like terms
= 2n + 11
Frank was born in 1933 and died in 1946 at the age of 57. How can this be?
Answer:
Frank was born in 1933 and died in 1946 at the age of 57. 1933 and 1946 are not years but just room or ward numbers.
EXPLANATION:
The numerical 1933 and 1946 do not signify the year of birth or death. No where in the question is the word 'years' mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Similarly 1946 is the room or ward number where Frank died. Hence his age is irrelevant with respect to 1933 and 1946. His related age of 57 thus has nothing to do with them.
Answer:
The numerical 1933 and 1946 do not signify the year of birth or death. Nowhere in the question is the word ‘years’ mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Step-by-step explanation:
tommy do this instead then
Answer: (2) 1010025
Step-by-step explanation:
Let's find the sum of 1+3+5+7+...+2007+2009
Let's use the formulas for an arithmetic progression:
[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]
[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]
Divide both parts of the equation by 2:
[tex]1005=n[/tex]
Hence,
[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]
Convert celsius to fahrenheit using the following formula f = 95c+32 c = 20 f = ?
35 degrees Celsius is equal to 95 degrees Fahrenheit.
What is the formula for Celsius to Fahrenheit?
The formula for converting from degrees Celsius to degrees Fahrenheit, which is provided by the expression F=95(C)+32, must be used. To convert the given temperature to degrees Fahrenheit, we must first divide it by five, then multiply it by nine, and then add 32.Without a calculator, how do you convert from Celsius to Fahrenheit?
Here is an easy approach you may use to convert temperatures from Celsius to Fahrenheit. multiply the temperature in degrees Celsius by 2, then add 30 to get the (estimated) temperature in degrees Fahrenheit.F = 9 / 5 * 35 + 32
F = 63 + 32
F = 95
35 degrees Celsius is equal to 95 degrees Fahrenheit.
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The domain and the range of the reciprocal function are the set of all real numbers. True or false?.
False. All real numbers, with the exception of 0 because f (0) = 1 0, fall inside the reciprocal function's domain and range. Y cannot be 0 if x cannot, either.
What are real numbers?In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are used in measurements of continuously varying quantities such as size and time. They are distinguished from imaginary numbers, which use the symbol I or the square root of 1, by the word "real." A complex number has a real (1) and an imaginary I component, like 1 + i. The positive and negative integers, as well as the fractions created from them (also known as rational numbers), as well as the irrational numbers, are all real numbers.
Contrary to rational numbers, whose decimal expansions always contain a digit or group of digits that repeats itself, such as 1/6 = 0.16666... or 2/7 = 0.285714285714, irrational numbers have decimal expansions that do not repeat themselves. Since there is no regularly repeating group in the decimal produced as 0.42442444244442, it is irrational.
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A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s. find its displacement during this time interval. answer in units of m\
For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m
For given question,
A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.
We can observe that, for t1 = 1.82 s and t2 = 3.81 s
object is moving from right to left along the x axis.
We know that, the displacement of a particle moving in a straight line is the change in its position.
so, d = 4.97 - 16.5
d = -11.53
The negative sign indicates that the object is moving from right to left along the x axis for t1 = 1.82 s and t2 = 3.81 s
Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.
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I need help 10-25 please help asap step by step
Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as prior probabilities.
Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.
The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.
The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.
Initial estimates of the probabilities of events are known as prior probabilities.
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Help please Algebra
Answer: y=-x+17
-1 ==> slope
(0, 17)
Step-by-step explanation:
x+y=17
x-x+y=17-x
y=-x+17
-x/x=-1 ==> slope
y=-x+17
y=-(0)+17
y=17 ==> (0, 17)
help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. [tex](x-6)^{2}[/tex]
2. [tex](x +11)^2[/tex]
3. [tex](x-4y)^{2}[/tex]
4. [tex](5x - y)^2[/tex]
Step-by-step explanation:
1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]
2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]
3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]
4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]
(5x+3)(5x-3) what is the answer if multiplied
Answer:
25x^2 -9
Step-by-step explanation:
(5x+3)(5x-3)
FOIL
first 5x*5x = 25x^2
outer 5x*-3 = -15x
inner 3*5x = 15x
last = 3*-3 = -9
Add them together 25x^2 -15x+15x -9
Combine terms 25x^2 -9
Answer:
[tex] \sf25 {x}^{2} - 9[/tex]
Step-by-step explanation:
We can use Foil method to find the answer for this expression.
(5x + 3) (5x - 3)
That is:
F --> First ---> (5x)(5x)
O --> Outside ---> (5x) (-3)
I --> Inside ---> (3)(5x)
L --> Last ---> (3) (-3)
And now we have to add those terms together while combining like terms.
[tex] \sf(5x)(5x) + (5x)( - 3) + (3)(5x) + (3)( - 3) \\ \sf25 {x}^{2} - 15x + 15x - 9 \\ \sf25 {x}^{2} - 9[/tex]
What is 0.2302 to the thousands place
PLEASE HELP ASAP!!
The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)
Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation
Therefore,the equation of graph is (x-3)(x+1).
Given the equation y=[tex]x^{2} -5x+4[/tex]
The y-intercept is defined as the graph passing a fixed point at x=0 line
i.e.(0,c) pass through it . c is the y-intercept
c=0-0+4
c=4
Therefore,The y-intercept of the equation y=[tex]x^{2} -5x+4[/tex] is 4
Factorising y=[tex]x^{2} -5x+4[/tex]
⇒ y=[tex]x^{2} -5x+4[/tex]
⇒y=[tex]x^{2} -x-4x+4[/tex]
⇒y=x(x-1)-4(x-1)
⇒y=(x-4)(x-1)
Therefore, the factors of y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)
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Find the slope of the line passing through the points (-7, 8) and (2, -8).
0.7+y=−1.34 Please solve it I tried 0.64 and it said it was incorrect.
Answer:
-2.04
Step-by-step explanation:
it'll be
-1.34 - 0.7 = y
- 2.04 = y
PLEASE HURRY UP
Lamar needs to buy plastic forks. Brand A has a box of 42 forks for $2.17. Brand B has a box of 48 forks for $3.97.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
A = .05 and B = .08 so A is the better buy
Step-by-step explanation:
In each case, divide total cost by number of units to get unit cost.
Please help with algebra!
Answer:
[tex]x=29[/tex]
Step-by-step explanation:
These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].
Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]
Hope this helps!
Ryan is riding his bike. he biked a distance of 12 miles at a rate of 4 miles per hour. rearrange the distance formula, d = rt, to solve for ryan's time in minutes. (1 hour = 60 minutes) 480 minutes 180 minutes 8 minutes 3 minutes
(B) 108 minutes is Ryan's time.
What do we mean by the distance formula?Distance is a numerical measure of the distance between two objects or points. The distance can be a physical length or an estimate based on other criteria in physics or everyday usage. The distance between two points A and B are sometimes denoted as |AB|.The distance formula: d = rtSo,
To begin, consider the distance formula: d = rtDividing by the coefficient of t yields the following equation for t: t = d/rRyan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.
Ryan's time:
t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 minTherefore, (B) 108 minutes is Ryan's time.
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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.
a. 480 minutes
b. 180 minutes
c. 8 minutes
d. 3 minutes
A family is comparing different car seats. one car seat is designed for a child up to and including 30 lb. another car seat is designed for a child between 15 lb and 40 lb. a third car seat is designed for a child between 30 lb and 85 lb, inclusive. model those ranges with compound inequalities. which car seats are appropriate for a 32-ib child?
The Second and third car seats are appropriate for a 32-ib child
The first car :
The range 30 ≤x< 32
So it is not possible for a car seat appropriate for a 32-ib child.
The second car:
The range 15<x <40
So it is possible for a car seat appropriate for a 32-ib child.
The third car:
The range 30< x< 85
So it is also possible.
Hence the second and the third ranged car is possible for a 32-ib child.
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Evan invested $2500 in the stock market.
Four months later, the value of the
investment dropped to $2248. Find the
average monthly change in the value of
the investment.
Answer:
63
Step-by-step explanation:
Value dropped = 2500 - 2248 = 252
divide 252 across 4 months
252/4 = 63
The average monthly change in the value of the investment is $63.
Given that, Evan invested $2500 in the stock market. Four months later, the value of the investment dropped to $2248.
What is the investment?Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation. Investment meaning is primarily to obtain an additional source of income or gain profit from the investment over a specific period of time.
Now, change in investment is
2500-2248 = 252
The average monthly change
= 252/4
= 63
Hence, the average monthly change in the value of the investment is $63.
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Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
PLEASE AN EXPERT THIS IS WORTH 50 POINTS!!!!!!!!!
please help me please
and thx for who will help or he did and its ok if u don't know the ans
Answer:
I graphed the two equations for you. The point one which is selected is the solution to the system of equations.
Step-by-step explanation:
Please see attachment below.
Hope this helps!
Please mark as brainliest if this helps!
the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?
Answer:
10
Step-by-step explanation:
Bxhwbdjnqbxkabxjb iqbdnannsmxns
[tex]\sqrt{180x^{25}y^{23}z^{39}[/tex]
[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]
How do you define the square root of a number?
In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.
[tex]\sqrt{180x^{25 } y^{23} z^{39}[/tex]
[tex]180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times[/tex]
we have
square terms comes out
x is 25 times so we can write x as [tex](x^{12})^{2}[/tex] [tex]*[/tex][tex]x[/tex] therefore [tex]x^{12}[/tex] comes out and only left inside is x
similarly [tex](y^{11})^{2}[/tex] [tex]*y[/tex] therefore [tex]y^{11}[/tex] comes out and only left inside is y
[tex](z^{19})^{2} *z[/tex] therefore [tex]z^{19}[/tex] comes out and left inside is z
then the expression become
[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]
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