The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? CLEAR CHECK y = -2x + 6 y = 13x – 6 y = 3x – 2 y = 13x – 2
Answer:
\(y = \frac{1}{3} x - 2\) (But I can't find it in your options)
Step-by-step explanation:
The coordinates are (0,-2) and (6,0)
Finding the slope:
=> Slope = \(\frac{rise}{run}\)
=> Slope = \(\frac{y2-y1}{x2-x1}\)
=> Slope = \(\frac{0+2}{6-0}\)
=> Slope = 2/6
=> Slope = m = 1/3
Finding the y-intercept:
y-intercept = b = -2
Because this is the point where x = 0 According to coordinate (0, -2)
So, the slope intercept equation becomes:
=> \(y = mx+b\)
=> \(y = \frac{1}{3} x - 2\)
Answer:
y = 1/3 x - 2.
Step-by-step explanation:
The slope of the line = (y2 - y1)/(x2 - x1)
= ( 0 - (-2)) / (6 - 0)
= 2/6
= 1/3.
Using the point slope form of the line with m = 1/3 and (x1,y1) = (0,-2):
y - y1 = m(x - x1)
y - (-2) = 1/3(x - 0)
y + 2 = 1/3 x
y = 1/3 x - 2.
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. based on a 28 bag sample where the mean is 439 grams and the standard deviation is 23 , is there sufficient evidence at the 0.05 level that the bags are overfilled? assume the population distribution is approximately normal. step 4 of 5 : determine the decision rule for rejecting the null hypothesis. round your answer to three decimal places.
The decision rule for rejecting the null hypothesis is to reject it if the test statistic is greater than the critical value.
In hypothesis testing, the decision rule is used to determine whether to reject the null hypothesis based on the test statistic and the chosen level of significance. In this case, the null hypothesis is that the bags are not overfilled, and the alternative hypothesis is that the bags are overfilled.
To determine the decision rule, we need to calculate the critical value corresponding to the chosen level of significance (0.05 in this case). The critical value is obtained from the appropriate distribution, which in this case is the t-distribution since the population standard deviation is unknown and we are using a sample.
The decision rule is to reject the null hypothesis if the test statistic, which is the ratio of the difference between the sample mean and the hypothesized population mean to the standard error of the mean, is greater than the critical value. The critical value is determined based on the chosen level of significance and the degrees of freedom, which in this case is the sample size minus 1.
To determine the critical value, we can use a t-table or a statistical software. Once the critical value is obtained, we compare it to the test statistic. If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the bags are overfilled. If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the bags are overfilled.
Learn more about null hypothesis here:
/brainly.com/question/30821298
#SPJ11
-345-234
Show how you worked it out
Answer:
-579
Step-by-step explanation:
-345-234-345-234=-579 subtract numbers= -579Tyree and four friends go to the movies. Each person buys a movie ticket for $9, a snack for $6, and a drink for $4. Determine the total cost for everyone. PLZ HELP
Answer:
$95
Step-by-step explanation:
(5x9) + (5x6) + (5x4)= 45 + 30 + 20 =95
Solve the system of equation
Answer:
plain = $10.50
pepperoni = $12.50
Step-by-step explanation:
x = pepperoni
y = plain
3x + 2y = 58.5
2x + 4y = 67
using substitution method, I multiplied the first system by -2 to get:
-6x - 4y = -117
+ 2x + 4y = 67
-4x = -50
x = $12.50
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = $10.50
A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour?
Answer:
102.5 km
Step-by-step explanation:
820km/8 hours=102.5 km
C=2 4 6 3 6 9 4 8 12 find the determinant and inverse of c
Answer:
The determinant of C is zero and does not have inverse.
Step-by-step explanation:
Let \(C = \left[\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right]\), since it is a matrix with 3 rows and 3 columns, we can determine its determinant by the Sarrus' rule:
\(\det(C) = \left|\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right|\)
\(\det(C) = (2)\cdot (6)\cdot (12)+(3)\cdot (8)\cdot (6)+(4)\cdot (4)\cdot (9)-(4)\cdot (6)\cdot (6)-(3)\cdot (4)\cdot (12)-(2)\cdot (8)\cdot (9)\)
\(\det (C) = 0\)
Since the determinant of C is equal to zero, then we conclude that C does not have an inverse according to the following definition of inverse matrix. That is:
\(C^{-1} = \frac{1}{\det(C)}\cdot adj(C)\) (1)
Where \(adj(C)\) is the adjugate matrix of C, defined as the transpose of the cofactor matrix of C.
The result of this expression is undefined due to the determinant.
A building that is used for storage has the dimensions shown. What is the volume of the building?
The total volume of this building based on the volume of its two sections is 3808 cubic feet.
How to calculate the volume of the building?In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.
What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feetWhat is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feetWhat is the total volume?3136 + 672 = 3808 cubic feetNote: This question is incomplete because the image is missing; here is the missing section.
Learn more about volume in: https://brainly.com/question/1578538
#SPJ1
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
5x+8 = 18
Please answer fast
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
your child is prescribed amoxicillin (40mg/kg/day; not to exceed 1500 mg per 24 hour period) to be given 3 times per day. if she weighs 81 pounds, what is the maximum dose that she should receive?
Child is prescribed amoxicillin to be given 3 times per day. If she weighs 81 pounds, the maximum dose that she should receive is 500mg.
First, we need to convert the weight of the child from pounds to kilograms. We can do this by dividing the weight in pounds by 2.205 to get the weight in kilograms:
81 pounds÷2.205=36.74 kg
Next, we can calculate the maximum dose of amoxicillin that the child should receive per day by multiplying her weight in kilograms by 40 mg/kg:
36.74 kg×40 mg/kg=1469.6 mg
Since the maximum dose should not exceed 1500 mg per 24 hour period, the child should receive no more than 1500 mg of amoxicillin per day.
Finally, we need to divide the maximum daily dose by 3 to determine the maximum dose per individual dose, since the medication is prescribed to be given 3 times per day:
1500 mg÷3=500 mg
Therefore, the maximum dose of amoxicillin that the child should receive per individual dose is 500 mg.
To learn more about amoxicillin, refer:-
https://brainly.com/question/13252005
#SPJ4
help please! it'll be greatly appreciated
Answer:
B= 17.1
Step-by-step explanation:
The formula for the area of a triangle is BH1/2
The word problem gives you the area and the height
Set the problem:
369.25= 42.4(1/2)(B)
42.4(1/2)=21.2
369.25=21.2B
Divide both sides by 21.2 to isolate the variable
17.41=B
Hope this helps! :)
1.
x + y = 2
x - y = 4
Please help
Answer:
Step-by-step explanation:
(a) Determine the angle 136° to radian measure. Report your answer accurate to the nearest 0.01 radians. 8=136⁰ Number radians. (b) Convert the angle 3.77 radians to degree measure. Report your ans
(a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
To convert an angle from degrees to radians, we need to multiply the degree measure by π/180.
(a) To convert 136° to radians:
136° * (π/180) ≈ 2.3727 radians.
Therefore, the angle 136° is approximately equal to 2.37 radians.
(b) To convert 3.77 radians to degrees:
We can use the formula: degree measure = radian measure * (180/π).
3.77 * (180/π) ≈ 216.02 degrees.
Therefore, the angle 3.77 radians is approximately equal to 216.02 degrees.
So, (a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
To learn more about degree measure click here:
brainly.com/question/30235680
#SPJ11
(a) The angle 136° measures 2.37 radians. (b) The angle 3.77 radians measures approximately 216.02 degrees.
To convert an angle from degrees to radians, we need to multiply the degree measure by π/180.
(a) To convert 136° to radians:
136° * (π/180) ≈ 2.3727 radians.
Therefore, the angle 136° is approximately equal to 2.37 radians.
(b) To convert 3.77 radians to degrees:
We can use the formula: degree measure = radian measure * (180/π).
3.77 * (180/π) ≈ 216.02 degrees.
Therefore, the angle 3.77 radians is approximately equal to 216.02 degrees.
So, (a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
To learn more about degree measure click here:
brainly.com/question/30235680
#SPJ11
Find the surface area of this triangular prism shown below
Answer:
Step-by-step explanation:
area of side triangles=2(1/2×6×4)=24 units²
area of 3 rectangles=6×7+2(5×7)==42+70=112 units²
or=(6+5+5)×7=16×7=112 units²
Total surface area=24+112=136 units²
Help pls ASAP i am Limited on tile and I need someone to do this I need to do other assignments too
Answer:
78
Step-by-step explanation:
x + 12 = 90
x = 78
What rule would you allow to test whether (x,y) is on line l
The slope of the line will be 5 / 4 for the given graph.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise o the line to the run of the line.
Given that the line is passing through points ( 4,5) and ( 8, 10). The slope of the line will be calculated as:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 10 - 5 ) / ( 8 - 4 )
Slope = 5 / 4
Hence, the slope of the line is equal to 5 / 4.
To know more about slope follow
https://brainly.com/question/3493733
#SPJ1
Which line has a negative slope?
Answer:
Line A
Step-by-step explanation:
Any line facing towards the left side of the coordinate plane will have a negative slope.
Line C is facing towards the right
Line D and B doesn't have a slope
A is the only right answer
A map ratio is 1:50 000. Two villages
are 8km apart. How far apart are they
on the map?
Answer: they should be 2cm apart
Step-by-step explanation: This means that 1 cm on the map represents an actual distance of 50 000 cm (or 500 m or 0.5 km). We saw above that if a map has a scale of 1 : 50000, then 1 cm on the map is 50000 cm in real life.
help click all the questions
Answer:1,grams 2,b 3, id k srry
Step-by-step explanation:
PLZ HELP ASAP!!!! NEED HELP!!!
Answer:
I'm pretty sure the answer is C
if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answer:
comparing the means of three or more groups
Step-by-step explanation:
rexs pizza is currently have a special for delivery orders pizzas are $8 each and the delivery charge is $1.75 Write an equation for the total cost
Answer:
8x + 1.75 = y
Step-by-step explanation:
Read the question and look for key words.
In this questions the key words are Each and Total.
x is for each pizza purchased and y is total cost.
The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.
Hope this helps!
A theater company has raised $930.75 by selling 25 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Part A - 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.
Part B - The price of each floor seat ticket is 37.23.
Part A: Let x be the price of each floor seat ticket. Since the theater company sold 25 tickets and raised 930.75, we can create the equation:
25x = 930.75
We use 25x because there were 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.
Part B: To solve for x, we can divide both sides of the equation by 25:
25x/25 = 930.75/25
x = 37.23
Therefore, the price of each floor seat ticket is 37.23.
We can check that our solution is correct by substituting x=37.23 back into the original equation:
25(37.23) = 930.75
This equation is true, which confirms that our solution is correct.
for such more question on total amount
https://brainly.com/question/25109150
#SPJ11
write a equation to find the nth term of each sequence -4, -9, -14, -19. Then find the a24
Given an arithmetic sequence like the one in the question with "a" being the 1st term and "d" being the common difference, the equation to find the nth term of the sequence can be written thus;
\(a_n=a+(n-1)d\)In the question, we've also been asked to find the 24th term of the sequence.
To do that, we need to substitute the values of the variables a, n and d into the above equation.
From the sequence -4, -9, -14, -19, the 1st term(a) is -4, the common difference is -5 and n = 24.
Let's substitute and find the 24th term of the sequence;
\(\begin{gathered} a_{24}=-4+(24-1)(-5)_{}_{} \\ =-4+(23)(-5) \\ =-4-115 \\ =-119 \end{gathered}\)Therefore, the 24th term of the sequence is -119.
a triangle has two sides of length 2 and 5 and that the angle between these two sides is 60 degrees, what is the length of the third side of the triangle
The length of the third side of the triangle is 4. 33
How to determine the side
We have the length of the two sides to be;
2 and 5
If the angle between them is 60 degrees, then the third side is the opposite side
To find the opposite side, we use the sin ratio, which is
sin 60 = opposite/hypotenuse
sin 60 = x/ 5
Cross multiply
sin 60 × 5 = x
x = 0. 8660 × 5
x = 4. 33
Thus, the length of the third side of the triangle is 4. 33
Learn more about a triangle here:
https://brainly.com/question/1475130
#SPJ1
will mark brainliest
Answer:
photos is not
Step-by-step explanation:
clearly posted
Curt and Melanie are mixing 70% of blue paint and 30% of yellow paint to make seafoam green paint in a 1. 5 quarts bucket. Use the percent equation to find out how much yellow paint they should use
The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.
Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.
30% / 100% =30 / 100 = x / 1.5 quarts.
We can reduce the equation further,
0.3 = x / 1.5.
0.3 * 1.5 = x
x = 0.45
We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.
As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.
To know more about per cent equation,
https://brainly.com/question/1384810
The endpoints of GH are G(-3,0) and G(7, -8) Find the coordinates of the midpoint M
Answer:
(2,-4)
Step-by-step explanation:
Find the length of the bold arc.Leave pi in your
answer.
Answer:
5688 pi ft
Step-by-step explanation:
lol