Answer:
1 38888888889/50000000000
Step-by-step explanation:
The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000
Find x such that the line through (6, −3) and (7, 6) is perpendicular to the line through (−2, 5) and (x, −1).
Given:
The line through (6, −3) and (7, 6) is perpendicular to the line through (−2, 5) and (x, −1).
To find:
The value of x.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line through (6, −3) and (7, 6) is:
[tex]m_1=\dfrac{6-(-3)}{7-6}[/tex]
[tex]m_1=\dfrac{6+3}{1}[/tex]
[tex]m_1=9[/tex]
The slope of the line through (−2, 5) and (x, −1) is:
[tex]m_2=\dfrac{-1-5}{x-(-2)}[/tex]
[tex]m_2=\dfrac{-6}{x+2}[/tex]
We know that the product of slopes of two perpendicular lines is -1.
[tex]m_1\cdot m_2=-1[/tex]
[tex]9\cdot \dfrac{-6}{x+2}=-1[/tex]
[tex]\dfrac{-54}{x+2}=-1[/tex]
Multiplying both sides by (x+2), we get
[tex]-54=-1(x+2)[/tex]
[tex]-54=-x-2[/tex]
[tex]-54+2=-x[/tex]
[tex]-52=-x[/tex]
Divide both sides by -1.
[tex]52=x[/tex]
Therefore, the value of x is 52.
C(6,18), SF=____ C'(2,6)
Pls help me solve this and figure this out!!!
-2(t+7)=- 4t+12 what value of t makes the equation true
Answer:
T is 13
Step-by-step explanation:
-2(t+7)=-4t+12
-2t-14=-4t+12
2t=26
t=13
check answer:
-2(13+7)=-4(13)+12
-26-14=-52+12
-40=-40
Answer:
t is or equal to 13
Step-by-step explanation:
i done this before
Solve for l:
[tex]v = \frac{ \sqrt{l + t} }{2 \sqrt{l} } [/tex]
.....
Answer:
l = t/4v² - 1
Step-by-step explanation:
Given the expression
v = √l+t/2√l
We are to make l the subject of the formula as shown;
Cross multiply
2v√l = √l+t
Square both sides
(2v√l)² = (√l+t)²
4v²l = l+t
t = 4v²l - l
t = l(4v² - 1)
Divide both sides by 4v² - 1
t/4v² - 1 = l(4v² - 1)/4v² - 1
t/4v² - 1 = l
Swap
l = t/4v² - 1
Hence the required expression for l is t/4v² - 1
9. Empty taxis pass by a street corner at a Poisson rate of two per minute and pick up a passenger if one is waiting there. Passengers arrive at the street corner at a Poisson rate of one per minute and wait for a taxi only if there are less than four persons waiting; otherwise they leave and never return. Ella arrives at the street corner at a given time. Find her expected waiting time, given that she joins the queue. Assume that the process is in steady-state.
Answer:
0.37
Step-by-step explanation:
To resolve the given problem we will apply
persistent time Markov chain : n = 0, 1, . . . , 4
n = number of individuals pausing
where The equalization conditions are : πn = ( πn - 1/2 )
Given that :
n = 0,1,2,3,4
π0 = 1/( 1 + 2−1 + 2−2 + 2−3 + 2−4) = 0.52 = 16/31
Also the normal number of travelers found by Ella will be represented as
E(N) = (π1 + 2π2 + 3π3) / ( π0 + π1 + π2 + π3) ------- ( 1 )
where : π1 = 8, π2 = 4, π3 = 2 , π0 = 16/31 input values into equation 1
E ( N ) = 22/30
given that the True to form hanging tight time = 0.5
hence Holding holding time = E(N ) * 0.5
therefore the expected waiting time for Ella = ( 22/30 ) * 0.5 = 0.37
Only answer if you’re sure :) id like the full equation! Will give Brainly
Answer:
[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]
Step-by-step explanation:
3x-2y=7
-3x -3x
-2y=-3x+7
-1 -1
2y=3x-7
2 2
y= 3/2x-7/2
Question 3
Alicia graphed a solution of linear equations on a coordinate plane.
1
What is the approximate solution of the system?
Answer:
what did the answer end up being?
Step-by-step explanation:
Can someone help me this is confusing
The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular vinegar if the pH level is 2.5. (5 points)
3.979 x 10–1
9.536 x 103
3.162 x 102
3.162 x 10–3
The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)
What is pH?pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.
pH can also be defined as the measure of acidity and alkalinity of a substance.
pH = –log(H+)
Therefore (H+) = 10^-(pH)
For a pH of 2.5, the hydronium ion concentration
= 10^-2.5
(H+) = 0.003162 = 3.162×10^-3
Therefore hydronium ion concentration of the vinegar is 3.162×10^-3
learn more about pH from
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A band expects to put 15 songs on their next CD. The band wriand records 60% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD
Answer:
18 songs
Step-by-step explanation:
15 x 1.6 = 24
24 x 0.75 - 18
Step by step exclamation please
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet
i need help i honestly dont get this
Answer:
I'm not too sure though but I think its change of subject formula
HELP ME PLEASEEEEEEEE!!
9514 1404 393
Answer:
12. 13
14. A
15. B
Step-by-step explanation:
I choose to work 3 problems to show how multiplication and division work with exponents.
__
12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).
We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...
(2x²)(4) +(5x)(x) = (8 +5)x² = 13x²
The missing coefficient is 13.
__
14. The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
The given expressions can be simplified as ...
Koby
[tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]
Paulo
[tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]
Kobe Only wrote an expression equivalent to 1.
__
15. The given expression is of the form
[tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]
The true statement is ...
the quotient has a remainder of -7/(2x)
__
Additional comment
Strictly speaking, a division problem can be expressed as ...
dividend = (divisor)(quotient) + remainder
In this instance, this would be ...
14x² +10x -7 = (2x)(7x +5) -7
which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.
The above (quotient) + (remainder) should actually be ...
(quotient) +(remainder)/(divisor)
You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.
Find the radius of the circle with a diameter of 100 mete radius:
50
Step-by-step explanation:
100/2 = 50
So, the radius is 50.
I hope this helps, have a good day!
Answer:
r=50m
Step-by-step explanation:
Remeber it's the half of the number (N).
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
- 10
10
. 10+
D A. 2
O B. 5
C. 3
O D. 1
E. -2
Answer:
All of the above.
Step-by-step explanation:
They are all within the range.
The range of the function graphed below are,
⇒ 2, 3, 1
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function is shown.
Now, By graph;
The range of the function graphed below are,
⇒ (0 , 3]
Hence, By options;
The range of the function graphed below are,
⇒ 2, 3, 1
Learn more about the function visit:
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Instructions: Find the missing length indicated.
Please help no links
Answer:
120
Step-by-step explanation:
To find the value of x we use Euclidian theorem
x^2 = 225*64
x^2 = 14400
x = 120
Round 123.7561 to the nearest hundredth place
Decimal numbers are number that contains decimal points. The value 123.7561 rounded to nearest hundredth is 123.76
Rounding of decimal numbersDecimal numbers are number that contains decimal points in between the values.
Given the decimal value 123.7561, we are to convert the decimal values to the hundredth place.
This means that there must only be two values after the decimal points and the values rounded up if greater than 4.
Hence the value 123.7561 rounded to nearest hundredth is 123.76
Learn more on rounding up here: https://brainly.com/question/10340128
Please help will mark Brainly
Answer:
it too far i can't see it
Step-by-step explanation:
Write an equation of the line passing through (- 5,5) and having slope - 4. Give the answer in slope-intercept form.
The equation of the line in slope-intercept form is:
Answer:
y = - 4x - 15---------------------------
Slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptPoint-slope form:
y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point on the lineUse the point-slope form to find the equation and then convert it to slope-intercept form:
y - 5 = - 4(x - (-5))y - 5 = -4(x + 5)y - 5 = - 4x - 20y = - 4x - 20 + 5y = - 4x - 15PLS ANSWER FAST, WILL GIVE BRAINLIEST
Answer:
I guess option c is the answer
COMPLETE
h
50
The sum n(n+6) =
+
1575
RETRY
9514 1404 393
Answer:
50575
Step-by-step explanation:
The correct answer choice is marked. Evaluating it gives ...
the sum is 50,575
Enter the next three numbers of the repeating decimal produced by the
7
fraction
9
0.777777 ...
Answer:
777
Step-by-step explanation:
7/9 will repeat 7 forever
The next three are therefor
777
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
3. 30 degrees
4. 46 degrees
5. 55 degrees
Step-by-step explanation:
3. Let it be x
85+65+X=180
150 + x = 180
x = 180 - 150
x = 30 degrees
4. Let it be x
104 + 30 + x = 180
134 + x = 180
x = 180 - 134
x = 46 degrees
5. Let it be x
x + 85 + 40 = 180
x + 125 = 180
x = 55 degrees
PLEASE GIVE ME BRAINLIEST PLSSS
Answer:
Step-by-step explanation:
If you save up $100 every 2 weeks, how much money would you have in a year ?
alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...
100(52/2)
100(26)
= $2600
youre welcome!
Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.
Answer:
a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)
Step-by-step explanation:
Solutions for graph a, b and c are attached.
a. (x, y) to (3x, y)
A' (-3, -1) B' (3, 2) C' (6, 0)
b. (x, y) to (x, 3y)
A' (-1, -3) B' (1, 6) C' (2, 0)
c. (x, y) to (2x, 3y)
A' (-2, -3) B' (2, 6) C' (2, 0)
REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.
What is the total area of the figure? NO LINKS ONLY ANSWERS
Answer:
Hello! answer: 24
Hope this helps!
Answer:
A. 5x3=15 B. 3x3=9 15+9=24
Step-by-step explanation:
Solve the equation.
3(x−9)=30
Answer:
19
Step-by-step explanation:
3(x-9)= 3x-27
3x-27=30
3x=57
x=19
8 feet and 9 inches multiplied by 5
Answer:
43 feet 9 inches
Step-by-step explanation:
Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in
The measure of HELP PLESSE
Answer:
[tex]51.3[/tex]
What is the difference quotient of the function g(x) = 4^x
Answer:
First choice
Step-by-step explanation:
The difference quotient in general is [tex]\frac{g(x+h)-g(x)}{h}[/tex]. To get an expression for [tex]g(x+h)[/tex], replace x with x + h.
For this question,
[tex]\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}[/tex]
Factor [tex]4^x[/tex] out of the numerator.
[tex]\frac{4^x(4^h-1)}{h}[/tex]
Answer:
The answer is A the first option
Step-by-step explanation:
Just took the unit review and got a 100