Write the equation of the line fully simplified slope-intercept form.
HELP ME PLEASE
Answer:
y=-x+3
Step-by-step explanation:
The y-intercept is at 3 and you can see it has a slope of -1
The equation of line will be y = -x + 3.
It is given that in the graph, line is passing through some points at x-axis and y-axis.
We have to find the fully simplified intercept of the line.
What is the general equation of a line ?
The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.
We have the x-intercept (3,0) and y-intercept (0,3) on the graph.
Slope of these line through these points will be ;
m = (y2-y1) / (x2-x1)
m= (3-0) / (0-3)
m= 3/-3
m= -1
Also , we will get the value of c = 3 .
The equation of line after putting the value of m and c will be ,
y = -x + 3
Thus, the equation of line is y = -x + 3
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How do we explain the Riemann sum process that leads to the definite integral that computes arc length?
Step-by-step explanation:
Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁). The distance between them can be found with distance formula:
d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)
d = √((Δx)² + (Δy)²)
Factor out Δx:
d = √(1 + (Δy/Δx)²) Δx
Adding up the distances from i=1 to i=n, the total arc length can be approximated as:
s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Taking the limit as n approaches infinity, we get the exact value of s:
s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Which can be written as a definite integral:
s = ∫ₐᵇ √(1 + (dy/dx)²) dx
Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2. Find the scale factors for each of the following:
1. From T to S
2. From S to R
3. From R to T
4. From T to R
Answer:
1/2
1/3
6
1/6
Step-by-step explanation:
When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:
1. From T to S, it's the reciprocal of the scale factor (2) so 1/2
2. From S to R, it's the reciprocal of the scale factor (3) so 1/3
3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6
4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6
(3x - 15)° 0 + 25)
105°
Find the value of a
Ox=35
O x 40
O x = 60
* = 65
Subtract using the number line.
57−(−17)
Answer:
74
Step-by-step explanation:
Using the Additive Inverse, it is the same as saying 57+17 = 74
please give brainliest, have a nice day
Answer:
Hi there!
Your answer is
74
Step-by-step explanation:
Two negatives equal a positive.
57 + 17=74
Hope this helps!
Simplify and show work
5x - (6 - x)
Answer:
6x-6
Step-by-step explanation:
5x-(6-x)
First you distribute the negative to (6-x) which makes -6+x, then you just subtract that from 5x which makes 5x-6+x then you just simplify into 6x-6.
Please help me with this geometry homework
Answer:
18
Step-by-step explanation:
We know that line FH total length is 49. We also know that the length of line GH is 31.
To find FG, all we need to do is subtract 49-31 to find the length of FG.
Line FG total length is 18.
A jury pool has 17 men and 24 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the following probabilities:
Give all answers accurate to six decimal places.
a) all men
b)all women
c) 8 men 4 women
d) 6 men 6 women
Answer:
since [tex]17+24=41[/tex]
a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]
b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]
c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]
d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]
Just calculate these. If there is anything wrong just let me know.
Lizzie invested $2,000 into an account that earned 5% interest per year. When she
cashed out the investment, it was worth a total of $2,205.
Create an equation (using the word bank) that describes Lizzie's investment based on t,
the number of years she kept the account open.
Word Bank:
1.05
0.05
$2.205
$205
t
$2,000
Step-by-step explanation:
The way to approach the problem is this
After one year she has 2000*1.05
After two years she has the money from the last year plus interest, so she has 2000*1.05*1.05
After t years she has 2000*1.05
DRAW tHE MISSsiNG NOTE IN THE BLANK IN COmPLEtE EACH mEASURE
Answer:
This is me drawing notes in the blank
Doodle* doodle* drawing noise* drawing noise* There you go ;)
Answer: What is this supposed to mean
Step-by-step explanation:
P.S follow me on ticktok nuggie_dude lol
Jayden wants to buy a sweater that costs 20 there is a coupon for 30% off if Jayden uses the coupon how much will the sweater cost?
Please help
Answer: $14.00
Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).
So, 20 × .30 = 6
She gets $6.00 off the original price.
$20.00 - $6.00 = $14.00
Plz mark brainliest:)
The local school bought $1,464 worth of notebooks for it's $1,464 worth of notebooks for it's students. If the notebooks cost $1.22 each how many notebooks did the $1,464 worth of notebooks for it students. If the notebooks cost $1.22 each how many notebooks did the school by?
A. 1,220
B. 1,250
C. 1,500
D. 2,500
Answer:
a
Step-by-step explanation:
Answer:a
Step-by-step explanation:
which of the following must be true to prove abc = def by the aas the theorem
I need help can u help me please and thanks
Answer:
17.74
Step-by-step explanation:
The fraction is easily converted to one with a denominator of 100 (a power of 10):
[tex]\dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74[/tex]
Then the number of interest is ...
17 37/50 = 17 74/100 = 17.74
Can someone plz help me with #66a b and c?
9514 1404 393
Answer:
(a) 6 °C
(b) -3.7 °C
(c) the y-intercept is (0, 10); the x-intercept is (10, 0)
Step-by-step explanation:
(a) The graph tells you the wind chill is 6 °C when the wind speed is 4 m/s.
__
(b) The annotated point on the graph tells you the wind chill is -3.7 °C when the wind speed is 20 m/s.
__
(c) The intercepts are marked on the graph. The y-intercept is (0, 10); the x-intercept is (10, 0). These represent the temperature when the wind speed is 0, and the wind speed when the temperature is 0, respectively.
Convert and round to the nearest HUNDREDTH. 1 cup is about 236.59 mL
what is the quotient in simplest form
12/7÷3
Answer:
5.150214592274678
Step-by-step explanation:
Answer:
12/21
Step-by-step explanation:
12/7 /3 = 12/7 * 1/3
12/7 * 1/3 = 12*1 / 7*3
12*1 / 7*3 = 12/21
Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equation to predict the cost of moving materials. There were 80 data points ft the regression, and the following computer output was generated: Intercept $19,050 Slope Coefficient of correlation 0.91 Standard error $220 The activity driver used was the number of moves.
Required:
1. What is the cost formula?
2. Using the cost formula, predict the cost of moving materials if 340 moves are made.
3. What percentage of the variability in moving cost is explained by the number of moves? (Round percentage to two decimal places.)
Answer:
(1) The cost formula is: y = $19,050 + $12·x.
(2) The cost of moving materials if 340 moves are made is $23,130.
(3) 82.81% of the variability in moving cost is explained by the number of moves.
Step-by-step explanation:
The computer output for the regression analysis of 80 data points is as follows:
Intercept: $19,050
Slope: 12
Coefficient of correlation: 0.91
Standard error: $220
(1)
The general formula of regression equation is:
y = a + b·x
Here,
a = intercept
b = slope
The cost formula is:
y = $19,050 + $12·x
(2)
Predict the cost of moving materials if 340 moves are made as follows:
[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]
Thus, the cost of moving materials if 340 moves are made is $23,130.
(3)
The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
The coefficient of determination R² can be computed by squaring the correlation coefficient value.
[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]
Thus, 82.81% of the variability in moving cost is explained by the number of moves.
How far has the car gone
Answer:
uhh how am i suposed to know that u ahve o image
Work out the percentage change when 1.20 is increased to 1.80
Answer:
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 1.20 to 1.80 is 50 %
Our percent calculator uses this formula:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((1.80 - 1.20) / 1.20) * 100 = 50 %
The local television station is hosting a telethon for a local children’s charity. They have asked students and adult sponsors from high school clubs and organizations to volunteer to answer the pledge phones. The television station has the following guidelines for volunteers:
Because of the number of available phone lines, the station can handle no more than 20 total volunteers, which includes students as well as their adult sponsors.
There must be at least one adult sponsor for every 4 students who volunteer.
The group of volunteers must be able to process at least 120 calls per hour. From previous telethons, the station estimates that each high school student can process 9 calls per hour, but adult sponsors usually only handle about 4 calls per hour.
The run times of a marathon runner are approximately normally distributed. The z-score for his run this week is – 2 . Which one of the following statements is a correct interpretation of his z-score?
Answer:
2 standard deviation under his average time
Step-by-step explanation:
x-13=62 idk know it
what the heck
is b,e,g,h i dont have letters its literally just blank squares
Ask your teacher. I think that'll be the best decision for you since I can't do anything for you as a user in brainly.
The jogging track at Francine's school is 3/4 mile long. Yesterday Francine completed two laps on the track. If she ran 1/3 of the distance and walked the remainder of the way, how far did she walk?
PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
3t-5=0
Help solve pleo
Answer:T = 0.6
Step-by-step explanation:Simplifying
3t + -5 = 0
Reorder the terms:
-5 + 3t = 0
Solving
-5 + 3t = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 3t = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 3t = 0 + 5
3t = 0 + 5
Combine like terms: 0 + 5 = 5
3t = 5
Divide each side by '3'.
t = 1.666666667
Simplifying
t = 1.666666667
Answer:
t = 5/3
t = 1 2/3
Step-by-step explanation:
Hi !
3t - 5 = 0
3t = 0 + 5
3t = 5
t = 5/3
t = 1 2/3
Good luck !
Find the common ratio of the geometric sequence 18,-72,288,...
Answer:
The common ratio of the geometric sequence is -4
Step-by-step explanation:
Geometric Sequence
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:
[tex]a_n=a_{n-1}*r[/tex]
Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:
[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]
Make sure it's a fixed number and test with the third term:
[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]
Since both numbers coincide, the common ratio of the geometric sequence is -4
Determine the range of the graph - Domain and Alternate notation is what I need like in the example attached
Answer: (2,6),(-6,7)
Step-by-step explanation:
PLS HELP I HAVE AN HOUR TO TURN THIS IN!!!!!
15 POINTS!!!!!!
Answer:
the answer is A
Step-by-step explanation:
I=360 ........