3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
On comparing this equation to the slope intercept form y = mx + c ,=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
Now the line passes through (-1,2 ) . so on using point slope form , we get ,=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
• Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?
Answer:
the answer 57.8
85 x 8 x 8.5% = 57.8
Step-by-step explanation:
brainliest pls
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2)
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
ok
Step-by-step explanation:
i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to
Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...
Answer:
14x-9
Step-by-step explanation:
Can someone help me with this ?
Find the missing side. Round to the nearest tenth
Answer:
We know Cot51 = x/17
=> 0.809784 × 17 = x
=> 13.753 = ×
.°. The value of x = 13.753 ~~ 14.000 (Ans)
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
NO LINKS PLSSSS
Answer:
the weight of the bar is 130 pounds
Answer: realsies
Step-by-step explanation: w manz
1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer
Answer:
8x + 28
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer: 471
Step-by-step explanation:
3.14 X 5(2) X 6
3.14 X 25 X 6
471 units (3)
Answer:
401.92
Step-by-step explanation:
khan
Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.
M(–5, –6) is rotated 90° clockwise.
Step 1. Use the rule (x, y)g(y, –x).
Step 2. Switch x and y coordinates:
(–6, –5)
Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)
Step 4. Simplify:
(6, –5)
Mira made an error in Step
Answer:
3
Step-by-step explanation:
Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.
It should give (-6, (-1)-5).
Step-by-step explanation:
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the picture)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
Sequences:
Determine the first five terms of the following sequences:
A. [tex]a_{n} = \frac{2n+3}{4}[/tex]
B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]
Answer:
A.
aₙ = (2n + 3)/4The first 5 terms:
a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4B.
aₙ = (n - 3)/(n - 2)The first 5 terms:
a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answer:
4/3
Step-by-step explanation:
What is the measure of angle L
Answer:
90-15 and you have your answer
Answer:
75
Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.
Answer:
Graph A. not a function
Graph B. is a function
Mapping A. is a function
Mapping B. not a function
Table A. not a function
Table B. is a function
Answer:
a graph. not a function
b graph.function
a table. not a function
b table. function
maaping a. function
mapping b. not a function
Step-by-step explanatio n:
mark me brainelst plz
I-Ready Surface area of composed figures what is the surface area of this design
Answer: 512
Step-by-step explanation:
Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.
The surface area of the design is 384 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given design is a cube.
All the sides are of the length 8 inches.
The formula to find the surface area of a cube is,
Surface area = 6a², where "a" is the length of a side of the cube.
Given, a = 8 inches
Surface area of the design = 6 × 8²
= 6 × 64
= 384 inches²
Hence the given design has the surface area of 384 inches².
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Find the value of x. 2x - 5 > 7 *
Answer:
[tex]x>6[/tex]
Step-by-step explanation:
Answer:
x > 6
Step-by-step explanation:
if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g
Answer:
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = x - 4[/tex]
Which value is equivalent to f x g?
We multiply these functions, applying the distributive property. So
[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
HELP ASAP WILL GIVE MOST BRANILIST
Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
9514 1404 393
Answer:
32 pounds
Step-by-step explanation:
Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...
4.35a +5.80(2a) = 510.40
15.95a = 510.40 . . . . collect terms
a = 32 . . . . . . . . . . . divide by 15.95
Number of pounds of type A coffee: 32.
The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate
Step-by-step explanation:
the empirical probability is 24/30, or 4/5. this is also the desired probability.
Can anyone help me out
Answer:
14.49 people per square mile
Step-by-step explanation:
Divide to find the answer:
836,109/57,714 = 14.49
a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths
Answer:
3/12
Step-by-step explanation:
1/4*3/3=3/12
write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7
x=
Answer:
hope this helps
Step-by-step explanation:
equation for a parabola is:
What is parabola?The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
Given: focus= (3,-5), directrix at x =-7.
To find equation of parabola we will use distance formula,
√(x+7)²=√(x+3)² + (y+5)²
(x+7)²=(x+3)² + (y+5)²
x²+14x+49= x²+9+6x + (y+5)²
8x + 40 = (y+5)²
x= (y+5)²/8 -5
Hence, the equation of parabola is x= (y+5)²/8 -5
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PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
mrk me brainliest plz
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
MARK ME BRAINLEIST PLZ PLZ PLZ
A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.
Answer:
Step-by-step explanation:
We are given that:
The failure rate = 0.1 failure/year
i.e. = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]
The repair rate = 365 repair/year, if we convert this to repair/hour; we get:
[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]
Time (t) = 1 hour
P(failure) = 1 - R ; if (t=1)
where:
[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]
P (failure) = 1 - R
= 1 - 0.9999
= 0.0001
≅ 0
The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]
[tex]\dfrac{1}{0.00001}[/tex]
= 100000
The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]
[tex]=\dfrac{1}{0.04}[/tex]
= 25
WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS
Answer:
D
Step-by-step explanation:
Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17
Please give brainliest thank you
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The quotient when 17 less than p is divided by 8.
Well, let's first take 17 less than p. That'll be :-
[tex] \sf \: p - 17[/tex]
Note :- 'p' comes first as the question has the words - less than p.
Now, we have the remaining -> 'is divided by 8'.
The equation will become :-
[tex] \sf \:( p - 17) \div 8[/tex]
Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.
So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.
________
Hope it helps.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Write in the equation for the slope intercept form and please no links or I will report you
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
Can someone please help me I will mark u brilliant for both
Answer:
1. 1/2
2. 4
Step-by-step explanation:
2. 14x = 56
56 / 14
x = 4