Answer:
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)
Step-by-step explanation:
that should be right
The value of k is 2/3.
We have,
To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.
The given line, y + 2x = b, can be rewritten in slope-intercept form
(y = mx + c) by solving for y:
y = -2x + b
Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.
The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.
Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:
y - 0 = (1/2)(x - 0)
y = (1/2)x
To find the value of k, we equate the y-values of the two lines at the point of intersection:
(1/2)x = 2k
x = 4k
Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:
k + 2 = 4k
2 = 3k
k = 2/3
Therefore,
The value of k is 2/3.
Learn more about equation of a line here:
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Help please!! Inverse of Matrix problem!!
Number 8 please!!
Step-by-step explanation:
Inverse of p matrix is in picture
i wish it will make u easy to do♥️✌️
Mr. Smith provides music lessons online for a fee. He charges $15 per lesson plus an initial fee of $30. How many lessons could Jason sign up for if he wants to spend $120?
Wright an equation to represent how many lessons Jason could sign up for. Show all steps to solve the equation. Explain what your final answer means in context of the problem.
Answer:
2 lesson with a remainer of $30
Step-by-step explanation:
$15 + $30 = $45
$45 multipled by 3 would equal 135 witch is $15 over ,
but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)
the first term of GP where second term is 2 and sum of infinity is8 it will be
Answer:
a = 4
Step-by-step explanation: Given that
ar=2 where a is the first term and is the common ratio.
ar=2 ............1
Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.
a/1-r = 8 ......... 2
From equation 1 make r the subject
ar=2
r= 2/a...........3
Put equation 3 into 2
a/1-2/a =8
a÷1-2/a
a = 8(1-2/a)
a= 8/1-16/a
a/1= 8a-16
a^2= 8a-16
Rewriting the above equation
a^2-8a+16=0
This will eventually be
a^2-8a+16=0
(a-4)^2= 0
a =4
What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)
Answer:
some tips
Step-by-step explanation:
- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.
Brainliest if you provide an explanation and/or get it right!
Q: Find the value of y if x = 3
Consider the figure, where segment M N is parallel to segment RP.
What is the value of x?
Find the mean monthly subscription fee? Round your answer to the nearest cent.
$8.78
$6.78
$5.78
Answer:
$6.78
Step-by-step explanation:
Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75
Now divide $67.75 by 10 which is the number of values you added up
$67.75/ 10 = 6.775
Now round to nearest cent = $6.78
I need help someone ?
Answer:
1) y=4x+5, 2) y=-2x+2, 3)y= 4/3x+4
Step-by-step explanation:
1) y=4x+5
2) y=-2x+c
-4= -2(3)+c
-4=-6+c
+6 +6
2=c
y=-2x+2
3) 4-0/0--3
4/3= gradient
y= 4/3x+c
4= 4/3(0)+c
4=0+c
4=c
y= 4/3x+4
Leslye wants to purchase a ticket to the dance. She will also purchase snack packs for herself and her friends. She is spending $3 for the ticket and knows that the snack packs will cost $5. Write
an inequality to show how many snack packs Leslye can purchase if she plans on spending less than $30.
Answer:
5 snack packs and 1 ticket.
Step-by-step explanation:
Do YoU kNoW dA wAe?
PLZ HELP ASAP (This is not a text or an exam)
Answer:
x=4
Step-by-step explanation:
As the two angles are clearly congruent because of the bisector, we set them equal to each other:
7x=3x+16
4x=16
x=4
Therefore, the value of x is 4 and not 9
Order the numbers from least to greatest
Answer:
2 then the square root of 7 then 9.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
√7,2,9.5
√7=2.645
So
Order the numbers from least to greatest is
2,√7,9.5 is the answer
A charity sells tickets for a fundraising dinner. Each adult's ticket cost $10 and each child's ticket cost $5. A total of $1050 was raised by selling 130 tickets. How many adult and child tickets were sold? Let x represent the number of adult tickets and y represent the number of child tickets.
Number of Adult Tickets Sold =
Number of Child Tickets Sold =
Answer:43
Step-by-step explanation:
I need help with this I will give you 20 points
plz help me thanks so much :)
Suppose the average salary for a data scientist is $83,105 with a standard deviation of $10,503. What is the probability that the mean salary of 31 randomly selected data scientists is less than $80,000.
Answer:0.0499
Step-by-step explanation:
Let x be a random variable that represents the salary for a data scientist.
Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]
standard deviation [tex]\sigma=\$10503[/tex]
Sample size : n= 31
The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.
[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]
Hence, the required probability = 0.0499.
A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?
Answer:
i) 60 trees
ii) 3600 apples
Step-by-step explanation:
50 trees per acre
Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds
Assumption :
lets assume the additional tree = X
Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30
calculate average yield per tree = ( 70 - x )
Total yield per acre = number of trees * average yield per tree
= ( 50 + x ) * ( 70 - x )
Y(x) = 3500 + 20x - x^2
i) Number of trees that should be planted per acre to obtain maximum yield per acre
y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10
Number of trees that should be planted per acre = 50 + 10 = 60 trees
ii) Calculate maximum yield
where ; X = 10
number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60
hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples
Help please!!!!
What is the absolute value of the number indicated on the number line below?
A. -2/3
B. -3/5
C. 3/5
D. 2/3
Answer:
b
Step-by-step explanation:
it is 3 out of 5 ticks over to the left
help
please..,..who knows this math answer
A. in a linear equation in x and y x is indepdendt so y depends on it
I don’t get this question at all, pls help. I just need the function.
Explain to me in words how you would find the slope of this line and explain how you got your answer
Answer: m= 5/3
Step-by-step explanation: the point were at (-1,2) (-4,-3)
m= y2-y1/ x2- x1
m= -3-2/ -4 (-1)
m= -5/-3
m= 5/3
( hope this helps)Please describe a situation where you would use Excel and please describe the growth mindset needed to learn and understand.
A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").
A bacteria culture contains 1500 bacteria initially and doubles every hour. Find a function N that models the number of bacteria after t hours. Write out how many bacteria there will be for t = 0, 1, 2, etc. and think about how you are getting those values.
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Does anyone know the simplest radical form for this question
Answer:
A.
Step-by-step explanation:
Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.
Answer:
A) 4[tex]\sqrt15\\[/tex]
Step-by-step explanation:
Start by factoring 240 to its prime factors
√240 = √10 · 24 =√2·5·2·2·2·3
look for pairs of numbers. There are 2 pairs of 2s, so take those out of the radical
= 2·2√5·3
= 4√15
What is the quotient of -3/8 and -1/3?
A. -1 1/8
B. -1/8
C. 1/8
D. 1 1/8
Answer:
d. 1 1/8
Step-by-step explanation:
-3 -1
---- ÷ -----
8. 3
Keep, Change, Flip.
-3/8 stays the same.
Division becomes multiplication.
-1/3 becomes -3/1
-3. -3. = 9
----- × ----- ------
8. 1. = 8
9/8 = 1 1/8
Answer:
D. 1 1/8
Step-by-step explanation:
PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
a. (3.8)
b. (9,4)
c. (2,3)
d. (8,3)
Answer:
wouldnt it be (6,-1)...
Step-by-step explanation:
because those are the cords your said c was at
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?
Answer:999
Step-by-step explanation:11x9=999
3−y÷ 3 5; y= 1 4
whats the answer to this
Answer:
2.6
Step-by-step explanation:
Divide the numbers, then subtract them
solve for x, and explain how u did it :)
Answer:
71 I THINK
Step-by-step explanation:
since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer
I'm doing system of equations and I have to solve using substitution
the equations are y=5x and xy=45
Answer: +3, -3
Step-by-step explanation:
ok so all you need to do is plug in that first equation into the second one.
x(5x) = 45
5x^2 = 45
x^2 = 9
x = +3, -3