Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.
Answer:
your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)
Step-by-step explanation:
The exponential function gotten from the table is given by y = 650(1.045)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
Let y represent the bacteria population after x hours.
The class started out with 650 bacteria cells.
a = 650Growth rate = 4.5%
b = 100% + 4.5% = 104.5% = 1.045The exponential function gotten from the table is given by y = 650(1.045)ˣ
After 30 hours:
y = 650(1.045)³⁰ = 2434Find out more on exponential function at: https://brainly.com/question/12940982
John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.
Find the total number of pages in the novel.
Answer: 441 pages
Step-by-step explanation:
[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]
Find the third angle of a triangle if two of its angles are equal to:
25 degrees and 80 degrees
and
25 degrees and 120 degrees
Answer:
60 degrees
Step-by-step explanation:
Answer:
75 degrees, 35 degrees
Step-by-step explanation:
a. Adding 25 degrees and 80 degrees yields 105 degrees. The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.
b. Adding 25 degrees and 120 degrees yields 145 degrees. The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another.
a. Find q and t2.
b. Find t3.
c. Find a recurrence relation for t1, t2, t3, ....
Answer:
a) t1 = 2 , t2 = 6
b) t3 = 14
c) recurrence relation ( Tn ) = 2Tn-1 + 2
Step-by-step explanation:
Tn = minimum number of moves needed
2n disks is moved from one pole to another
a) determine the value of t1 and t2
let n = 1
2n moves = 2 * 1 = 2
∴ t1 = 2
let n = 2
2n moves = 2*2 = 4
∴ t2 = 4 + t1 = 4 + 2 = 6
b) determine value of t3
let n = 3
2n moves = 2 * 3 = 6
∴ t3 = t1 + t2 + 6
= 2 + 6 + 6 = 14
c) Determine th recurrence relation
let n ≥ 2 i.e. n - 1 ≥ 1
number of disk required to be moved = 2n
number disks as follows : 1 to 2n
the recurrence relation = sum of number of moves in each step
Tn = Tn-1 + 2 + Tn -1
hence recurrence relation ( Tn ) = 2Tn-1 + 2 when all integers n ≥ 2
Find the midpoint of the segment with the following endpoints.
(-8, 7) and (0,1)
Answer:
(-4,4)
Step-by-step explanation:
To find the x coordinate of the midpoints, add the x coordinates of the endpoints and divide by 2
(-8+0)/2 = -8/2 = -4
To find the y coordinate of the midpoints, add the y coordinates of the endpoints and divide by 2
( 7+1)/2 = 8/2 =4
(-4,4)
True or False:
4x and 4x2 are like terms
Actually its false
In algebra 4x and 4x² are two different terms and are not like terms.
Must click thanks and mark brainliest
In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at the output level:
Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question
answer:
≈ 95 units ( output level )
Step-by-step explanation:
Given data :
P = 2000 - Q/10
TC = 2Q^2 + 10Q + 200 ( assumed value )
The output level where a purely monopolistic market will maximize profit
at MR = MC
P = 2000 - Q/10 ------ ( 1 )
PQ = 2000Q - Q^2 / 10 ( aka TR )
MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5
TC = 2Q^2 + 10Q + 200 ---- ( 2 )
MC = d (TC) / dQ = 4Q + 10
equating MR = MC
2000 - Q/5 = 4Q + 10
2000 - 10 = 4Q + Q/5
1990 = 20Q + Q
∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )
Insert the missing number.
4
6 9 14
23
40
?
138
266
Answer: The missing number is 73
Step-by-step explanation:
Given:
4, 6, 9, 14, 23, 40, ?, 138, 266
Solve:
First, we try arithmetic patterns.
6 - 4 = 2
9 - 6 = 3
14 - 9 = 5
23 - 14 = 9
40 - 23 = 17
Clearly, there aren't arithmetic patterns.
Then, try through multiplication, exponents, and combination.
Finally, the pattern is multiplied by 2 on each number, then subtract 2 starting with 4 and add 1 for each increasing number.
4×2-2=6
6×2-3=9
9×2-4=14
As it goes on, the missing number would be:
40×2-7=73
Hope this helps!! :)
Please let me know if you have any questions
Check if -2 is the solution of equation 2 – x = 4x + 3
Answer:
7x the answer i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
We are asked to check is -2 is the solution of the following equation.
[tex]2-x= 4x+3[/tex]
We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.
[tex]2- (-2) = 4(-2)+3[/tex]
Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Let's start with the left side.
[tex]2+2= 4(-2)+3 \\[/tex]
[tex]4= 4(-2)+3[/tex]
Now solve the right side. Remember to multiply first.
[tex]4= -8+3[/tex]
[tex]4= -5[/tex]
[tex]4\neq -5[/tex]
4 is not equal to -5, so -2 is not the solution for this equation.
Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)
Answer:
Step-by-step explanation:
a) 2x - y = 0
The circumference of a circle is 16πw⁴.
Derive an expression for the area in terms of pi and w
Answer:
A = Pi (8 w**4)**2
Step-by-step explanation:
C = 16 Pi w**4 (given)
C = 2 Pi R (stand forula)
So then find R in terms of w by settting C = C from above
2 Pi r = 16 Pi w**4
2R = 16 w**4
R = 8 w**4
SO
A = Pi R**2
A = Pi (8 w**4)**2
divide 12by8 and 4by3
Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.
Answer:
Step-by-step explanation:
Common difference is -9.
t_1 = 2
t_n = t_1 - (n-1)9
= t_1 - (9n - 9)
= 2 - (9n - 9)
= 11 - 9n
Write an example of an equation for an exponential growth function
Answer:
f(x) = 2^x
Step-by-step explanation:
find the missing side. Round it to the nearest tenth.
Answer:
19.1
Step-by-step explanation:
Answer:
x ≈ 19.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )
x × cos33° = 16 ( divide both sides by cos33° )
x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )
A table is made using the following two patterns.
Pattern 2: Starting number: 5, Rule: Multiply by 3
1
Pattern y: Starting number: 20, Rule: Multiply by
2
Complete the table for the given patterns.
C
y
5
20
Answer:
x y
5 20
15 10
45 5
Step-by-step explanation:
Pattern x:
Start with 5.
Multiply by 3: 5 * 3 = 15
Multiply by 3: 15 * 3 = 45
Pattern x:
Start with 20.
Multiply by 1/2: 20 * 1/2 = 10
Multiply by 1/2: 10 * 1/2 = 5
x y
5 20
15 10
45 5
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:
0.5013415404
Step-by-step explanation:
This...ik what mean is I'm just trying to find what the original numbers would be?
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
need some help with this
Answer:
A horizontal line has a slope of zero
Step-by-step explanation:
Let’s start by some examples!
We’re going to use two points that identify that a horizontal line has a slope of zero
Two points will be: (7, 4) & (7, -6)
Then use the Slope-Formula to identify the slope
Slope = change in y/change in x
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 4)/(7 - 7)
Slope = -10/0
Slope = 0
Therefore, a horizontal line has a slope of zero
Answer:
Zero (0)Step-by-step explanation:
Horizontal lines have no steepness at all because any calculation the slope of line means dividing zero by another number to the answer is always zero
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Answer:
x + ×-4 > or =104
X> or =54
am I right please ?
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Solution :x + x - 4 = 1042x - 4 = 1042x = 108x = 108/2 x = 54Hence, the possible value for x is 54
30 points please help
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
With the formula of lwh/3 the answer is 305.37
Step-by-step explanation:
l×w×h /3 =305.37
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.
what is 13.5/10 simplified
Answer:
27/20
Step-by-step explanation:
[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]
2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys
Step-by-step explanation:
between -5 and -62
-7,-10,-60...so..on
between -1/7 and 1/8
Multiply any number by number with both the numbers but it should be multiplied by both the numbers:
for example:
-1/7×3/3= -3/21 ; 1/8×3/3= 3/24
So,
-2/21,2/24,1/24
hope it helps
Answer problem below
9514 1404 393
Answer:
17.078 square units
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians
The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.
Then the segment area is ...
A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units
Can someone help me pls
Answer:
No solution
Step-by-step explanation:
A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.
Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect
To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.
For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get
3x-2=y
3x+3=y
Since the x and y values must be the same, we can say that
3x-2=3x+3
subtract 3x from both sides
-2 = 3
Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations
