Answer:
3/5
Step-by-step explanation:
A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
[tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]
Given the conic equation [tex]r=\frac{3}{5-3cos(\theta)}[/tex]
We have to make the conic equation to be in the form [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex].
[tex]r=\frac{3}{5-3cos(\theta)}\\\\Multiply\ the\ numerator\ and \ denominator\ by \ 1/5\\r=\frac{3*\frac{1}{5} }{(5-3cos(\theta))*\frac{1}{5}}\\\\r=\frac{3*\frac{1}{5} }{5*\frac{1}{5}-3cos(\theta)*\frac{1}{5}}\\\\r=\frac{\frac{3}{5} }{1-\frac{3}{5}cos(\theta)}[/tex]
Comparing with [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]. gives:
e = 3/5, p = 1
The eccentricity is 3/5
1. Are there more inches in a mile or second in a day?
Answer:
Step-by-step explanation:
60 x 60 = 3600
3600 x 24
5280 x 12
I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.
Solve for h.
-12h + 4 = 0
Answer:
[tex]h=1/3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-12h+4=0[/tex]
Subtract 4 from both sides:
[tex](-12h+4)-4=(0)-4\\-12h=-4[/tex]
Divide both sides by -12:
[tex](-12h)/-12=(-4)/-12\\h=-4/-12[/tex]
Simplify and reduce:
[tex]h=1/3[/tex]
Answer:
h =1/3
Step-by-step explanation:
[tex]-12h + 4 = 0\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-12h+4-4=0-4\\\\\mathrm{Simplify}\\-12h=-4\\\\\mathrm{Divide\:both\:sides\:by\:}-12\\\frac{-12h}{-12}=\frac{-4}{-12}\\\\Simplify\\h=\frac{1}{3}[/tex]
simply
7(-3x+2)-11x+18
Answer:
-32x + 32
Step-by-step explanation:
7(-3x + 2) - 11x + 18
( -7 * 3x + 7 * 2) - 11x + 18
-21x + 14 - 11x + 18
-21x - 11x + 14 + 18
-32x + 32
Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges
clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours
worked?
75x + 100 < 250 or 75x + 100 > 700
100x + 75 < 250 or 100x + 75 > 700
250 < 75x + 100 < 700
250 < 100x + 75 < 700
Answer:
75x + 100 < 250 or75x + 100 > 700Step-by-step explanation:
This problem basically tests our understanding of representing word problems using inequalities and equations.
In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.
Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed
Answer:
A
Step-by-step explanation:
IF MN 13x-5, LM = 2x + 9, and NL = 36 – x, find the value of NL.
Answer:
i think it c
Step-by-step explanation:
Answer:
x = 2Step-by-step explanation:
let
LM = 2x + 9
MN = 13x-5
NL = 36 – x
find: x
LM + MN = LN2x + 9 + 13x - 5 = 36 – x2x + 13x + x = 36 - 9 + 516x = 32x = 32 / 16x = 25{3c-[d-2(c+d)]}
PLS ANSWER WILL MARK BRAINLIEST
Answer:
25c+5d
Step-by-step explanation:
First, write out the equation as you have been given in the problem:
[tex]5(3c-[d-2(c+d)])\\[/tex]
Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:
[tex]5(3c-[d-2c-2d])\\5(3c-[-2c-d])[/tex]
Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:
[tex]5(3c+2c+d)\\5(5c+d)[/tex]
Finally, distribute the coefficient 5 to the terms inside the parenthesis:
[tex]25c+5d[/tex]
Therefore, 25c+5d is you simplified answer to the problem.
Please help me with my assignment. I need to past this tom :(
Answer:
Step-by-step explanation:
a. 128
b.148
c.178
d.167
e.295
Solve for x in the simplest form 11=1/2(x+8)
Answer:
[tex] \boxed{\sf x = 14} [/tex]
Step-by-step explanation:
Solve for x:
[tex] \sf \implies 11 = \frac{1}{2} (x + 8)[/tex]
[tex] \sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 : [/tex]
[tex] \sf \implies \frac{1}{2} (x + 8) = 11[/tex]
[tex] \sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 : [/tex]
[tex] \sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2[/tex]
[tex] \sf \implies 1(x + 8) = 11 \times 2[/tex]
11 × 2 = 22:
[tex] \sf \implies x + 8 = 22[/tex]
Subtract 8 from both sides:
[tex] \sf \implies x + (8 - 8) = 22 - 8[/tex]
8 - 8 = 0:
[tex] \sf \implies x = 22 - 8[/tex]
22 - 8 = 14:
[tex] \sf \implies x = 14[/tex]
The value of x is 4, for the equation 11 = 1/2 (x + 8).
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
11 = 1/2 (x + 8)
Simplify the equation by multiplying 2 in both the sides,
11 × 2 =2 × 1/2 × (x + 8)
22 = x + 8
Subtract 8 from both the sides,
22 - 8 = x + 8 - 8
14 = x
or x = 14
The required value of x for the given equation is 14.
To know more about Equation on:
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#SPJ2
-5-(-7)
Full work plz
Answer:
-5 - (-7) = 2Step-by-step explanation:
-5 - (-7) = -5 + 7 = (-5) + (7) = (7) + (-5) = 7 - 5 = 2
this is my question
Answer:
299 and 45 if I am correct due to alternate angles and angles adding up to 360
Answer:
1)B+125=180
so,B=55
and x=B=55(alternate angles are equal)
2)a+136=180
so, a=44
3)2x+3x+x=180
or, 6x=18
so, x=3
Expand and simplify 5(2x-1) -2(3x+2) First person to answer gets brainliest !!
Answer:
[tex] \boxed{ \mathsf{ \bold{ \purple{ 4x - 9}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{5(2x - 1) - 2(3x + 2)}[/tex]
Distribute 5 through the parentheses
[tex] \mathsf{10x - 5 - 2(3x + 2)}[/tex]
Distribute 2 through the parentheses
[tex] \mathsf{10x - 5 - 6x - 4}[/tex]
Collect like terms
[tex] \mathsf{4x - 5 - 4}[/tex]
Calculate
[tex] \mathsf{4x - 9}[/tex]
Hope I helped!
Best regards!
Point c d and g lie on plane x. Point e and f lie on plane y. Which statements are true
The true statements are: 3, 4 and 5
Step-by-step explanation:
search it up
Answer:
2,3,and 4
Step-by-step explanation:
I can’t figure this out pls help 17-2p=2p+5+2p
Answer:
p=2
Step-by-step explanation:
17-2p=2p+5+2p
17-2p=4p+5
17=6p+5
12=6p
2=p
A drive has a maximum speed of 10000 revolutions per minute. If a disc has a diameter of 12 cm what is the linear speed, in km/h, of a point 4cm from the center if the disc is spinning at a rate of 7000 revolutions per minute?
Answer:
10.8 km/hr
Step-by-step explanation:
Given that
radius of the diameter is 4 cm
Converting 4 cm to km, we have
4/100000 = 0.00004 km or 4*10^-5 km
Angular speed is given as
v = 2πr/T
Where T is, 1/n,and n is the number of revolutions
v = (2 * 3.142 * 0.00004) / (1/7000)
v = 0.00126 / 0.007
v = 0.18 km/min
This is in km/min, now we convert to km/hr as requested.
0.18 * 60 = 10.8 km/hr
I really stuck on this question can someone help me out? What rational number, when multiplied by an irrational number, has a product that is a rational number? a. 1/2 b. 1 c. 1/10 d. 0
Answer:
d. 0
Step-by-step explanation:
Given that:
A rational number is multiplied by a irrational number.
And the result is a rational number.
To find:
Such rational number wil be:
a. [tex]\frac{1}2[/tex]
b. 1
c. [tex]\frac{1}{10 }[/tex]
d. 0
Solution:
Let us consider the given options one by one.
Let the irrational number be = [tex]\pi[/tex]
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].
Result is: [tex]\frac{\pi}2[/tex] which is again irrational.
So, a. is not correct.
Checking option b.
Multiply [tex]\pi[/tex] and 1.
Result is: [tex]\pi[/tex] which is again irrational.
So, b. is not correct.
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].
Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.
So, c. is not correct.
Checking option d.
Multiply [tex]\pi[/tex] and 0.
Result is: 0 which is rational.
So, d. 0 is the correct answer.
Solve for r 0.5(r+2.75) = 3
Answer:
r+2.75=3÷0.5
r+2.75=6
r=6-2.75=3.25
Answer:
3.25
Step-by-step explanation:
It's the answer on Khan
What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4)
Answer:(-5,4)
Step-by-step explanation:
Just took the test on edge
Answer:
(-5,4)
Step-by-step explanation:
hii:) anyone able to help with practice 6? Thanks:)!
Answer:
The answer is
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Step-by-step explanation:
[tex] ln(2) \times ln(4x) = 3[/tex]Divide both sides of the equation by ln 2
That's
[tex] \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } [/tex]We have
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]Covert the logarithm into exponential form using the property
[tex] ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} [/tex]Are all the same
So
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]is the same as
[tex]4x = {e}^{ \frac{3}{ ln(2) } } [/tex]Divide both sides by 4
We have the final answer as
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Hope this helps you
What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
The line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
The slope is the measure of the steepness of a line. It is also known as the gradient of a line.
Two parallel lines are known to have equal slopes. For example;
The line y = 2x - 5 and y = 2x + 3 are parallel because they have the same slope which is 2.Therefore for the line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
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2.67 (7 repeating) as a fraction
Answer:
241/90 or 2 61/90
Step-by-step explanation:
Let's call the given number 2.67(7) = x
Then use below steps:
10x = 26.7(7)100x = 267.7(7)100x - 10x = 241 ⇒ subtract to get rid of the repeated part90x=241 ⇒ solve to get fractionx= 241/90 = 2 61/90 ⇒ answer241/90
2 61/90
Step-by-step explanation:2.67(7) =
= (2677 - 267)/900
= 2410⁽¹⁰/900
= 241/90
= 2 61/90
Which of the following describes the quotient of 4 and -28? A) The quotient is undefined. B) The quotient is an integer. C) The quotient is an irrational number. D) The quotient is a rational number.
Answer:
-1/7
Step-by-step explanation:
Divide the first expression by the second expression.
please help me with this
Answer:
14/18 =0.7778
Step-by-step explanation:
14/18 =0.7777.........=0.7778 rounded to the nearest thousandth
The area of quadrilateral ABCD in the below figure is
(a) 57 cm
(b) 95 cm2
(c) 102 cm2
(d) 114 cm
Answer:
a)57
Step-by-step explanation:
please help :) Evaluate the expression: 75+125÷25×5 A.1.6 B. 40 C. 100 D. 76
Answer:
C = 100
Step-by-step explanation:
PEMDAS
multiplication and division first from left to right so
125/25 = 5
5x5 = 25
25 + 75 = 100
Answer:
C. 100
Step-by-step explanation:
To complete this question you must use systems of equations.
First you must complete multiplication or division depending on which comes first in the left to right sequence. In this case it is 125/25 which equals 5. This now makes the equation 75+5 x 5
Next, you complete any other division or multiplication Which in this case is, 5x5. The answer to this is 25, making the new equation, 75+25 which when added together equals 100!
And that is how you use systems of equations. Hope it helps ;)
Enter the mixed number as an improper fraction. 2 3/8 =
Answer:
19/8
Step-by-step explanation:
To find the mixed number
Take the denominator times the whole number
8*2 = 16
Add the numerator
16+3 = 19
Put this over the denominator
19/8
0.138.2 + 0.0032 correct to 1 decimal place
Answer:
Exact: 0.1414
Rounded: 0.1
Step-by-step explanation:
The graph of f(t) = 6.2" shows the value of a rare coin in year t. What is the
meaning of the y-intercept?
fit
10
A. When it was purchased (year 0), the coin was worth $2
B. Every year the coin is worth 6 more dollars.
C. When it was purchased (year 0), the coin was worth $6.
D. In year 1, the coin was worth $12
Answer:
C. When it was purchased (year 0), the coin was worth $6.
Step-by-step explanation:
The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.
3x-2=25 solve equation
Answer:
x=9
Step-by-step explanation:
3x-2=25
Add 2 to each side
3x-2+2=25+2
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
Answer:
x=9
Step-by-step explanation:
3x-2=25
3x =25+2
3x =27
x =27/3
x =9
Evaluate 4-0.25g+0.5h when g=10 and h=5
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]4 - 0.25g + 0.5h = 4 - 0.25(10) + 0.5(5) = 4 - 2.5 + 2.5 = 1.5 + 2.5 = 4[/tex]
Answer:
4Step-by-step explanation:
[tex]4-0.25g+0.5h\\g =10\\h=5\\\\4 -0.25(10)+0.5(5)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4-0.25\times\:10+0.5\times\:5\\\\\mathrm{Multiply\:the\:numbers:}\:0.25\times\:10=2.5\\=4-2.5+5\times\:0.5\\\\\mathrm{Multiply\:the\:numbers:}\:0.5\times\:5=2.5\\=4-2.5+2.5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:4-2.5+2.5\\=4[/tex]
15 + 48 ÷ (–2) raised to power 4 *
Greetings from Brasil...
First we will solve the power:
(- 2)⁴ = (- 2)·(- 2)·(- 2)·(- 2) = + 16
rewriting our expression
15 + 48 ÷ (–2)⁴
15 + 48 ÷ 16
(the division / multiplication has priority over the addition / subtraction, so let's do the division first 48 ÷ 16 = 3)
15 + 3
18