The equation for the relationship between the number of cans of paint, x, and the total weight of the cans, y, in slope-intercept form is y = 6x + 0. This equation can be derived from the formula for the slope-intercept form of a line, y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, since the weight of each can of paint is 6 pounds and there is no y-intercept (the line passes through the origin), the slope of the line is 6 and the y-intercept is 0.
A table of possible values for the number of cans of paint, x, and the total weight of the cans, y, based on this equation is shown below:
x (number of cans of paint) y (total weight of cans)
1 6
2 12
3 18
4 24
5 30
As the table shows, for each additional can of paint, the total weight of the cans increases by 6 pounds. This is because each can of paint weighs 6 pounds, and the weight of the cans is equal to the number of cans multiplied by the weight of each can.
Answer: y = 6x
Step-by-step explanation:
For each can of paint (x) 6 pounds is added. This is represented as;
y = 6x
For the table of possible values, we will plug a value in for x, and then evaluate the function for y. See attached.
y = 6(1) = 6
y = 6(2) = 12
y = 6(3) = 18
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
for such more question on breakeven point
https://brainly.com/question/30551452
#SPJ8
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation:
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
7 8/6 = 9.3?
Please explain your answer
Answer:
7×(8/6)=9.33
Step-by-step explanation:
7 is whole number
8/6 is the fraction
8/6 is 1.333
so, 7×1.333=9.33
on a recent day, 8 dogs were worth $9 and 24 dogs worth $27. write a chart for the proportion and write an equation the for formulas y=kx
Answer: y=1.125x
Step-by-step explanation:
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
For more such questions on pounds
https://brainly.com/question/30400939
#SPJ8
Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You
Answer:
draw the diagram and multiply 5x20
si tengo 3657 manzanas y me quitan 84648 pero juan me regala otras 8469 cuantas me quedan para comer?
Answer:
0 (-72522)
Step-by-step explanation:
ahora tienes negativo manzanas
Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick days taken. Suppose that at one firm, it is known that over the past few years employees have taken a mean of 5.4 sick days. This year, the firm introduces telecommuting. Management chooses a simple random sample of 80 employees to follow in detail, and at the end of the year, these employees average 4.5 sick days with a standard deviation of 2.7 days.
a) Describe the population in the context of this problem
b) Describe the parameter u in the context of this problem.
c) Describe the sample in the context of this problem.
d) Describe the statistic in the context of this problem
e) The firm would like to know if there is evidence that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced. State the hypotheses. Use ?-0.10.
f) Check the assumptions. If you don't know if an assumption is satisfied based on the information provided, then state "We must assume
g) Calculate the test statistic
h) Find the p-value.
i) Make a decision.
j) State the conclusion in terms of the problem.
Answer:
A.) Population : All employees at a firm
B.) μ = 5.4
C.) Sample : 80 employees at a firm
D.) Sample mean, x bar = 4.5
Step-by-step explanation:
From the question :
E.)
H0: μ ≥ 5.4
H1 : μ < 5.4
F.)
If Pvalue < α ; Reject H0
G.)
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.5 - 5.4) ÷ (2.7/sqrt(80))
-0.9 ÷ 0.3018691
= - 2.98
H.)
Pvalue fro Zscore calculator, α = 0.10 = 0.002882
I.)
Decision :
0.002882 < 0.10
Since, Pvalue < α ; We reject the Null
J.)
We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced
25
Select the correct answer from each drop-down menu.
The slope of the line passing through the points (7,5) and (21, 15) is 5/7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and tl
Reset
Next
Answer:
\(m = \frac{5}{7}\)
\(m_2 = \frac{5}{21}\)
Step-by-step explanation:
Given
\((x_1,y_1) = (7,5)\)
\((x_2,y_2) = (21,15)\)
Using the available details, the solution goes thus:
Solving (a): The slope (m) of this line:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
This gives:
\(m = \frac{15 - 5}{21 - 7}\)
\(m = \frac{10}{14}\)
Simplify:
\(m = \frac{5}{7}\)
Solving (b): Another line with 1/3 of the slope.
This is calculated using:
\(m_2 = \frac{1}{3} * m\)
\(m_2 = \frac{1}{3} * \frac{5}{7}\)
\(m_2 = \frac{5}{21}\)
Answer:
7,5
Step-by-step explanation:
netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ1
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
learn more on expression here: https://brainly.com/question/11133268
#SPJ1
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
Learn more about the end behavior of function here:
brainly.com/question/11808280
#SPJ1
O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answer:11
Step-by-step explanation:
Please respond to the question
The shortest distance between point P and Q is 9.4.
What is the shortest distance between point P and Q?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point P (-4,-2)
x₁ = -4
y₁ = -2
Point Q ( 4,3)
x₂ = 4y₂ = 3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 4 - (-4) )² + ( 3 - (-2) )² )
D = √( ( 4 + 4 )² + ( 3 + 2 )² )
D = √( 8² + 5² )
D = √( 64 + 25 )
D = √89
D = 9.4
Therefore, the distance is 9.4.
Learn more about the distance formula here: brainly.com/question/24509115
#SPJ1
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
What is the approximate volume of this cylinder?
A. 69n
B. 225n
C.207.7n
D. 830n
Hypotenuse = 13
base = 10
Height= √13²-10² =√169-100=√69 = 8.3
Volume of cylinder= Base area × Height
= π(10/2)²× 8.3
=3.14 × 5² × 8.3
= 26 × 25 = 650
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
For more question sequence
https://brainly.com/question/29017364?source=archive
#SPJ8
Divide 4,200 by a multiple of 10 so that the quotient is also a multiple of 10
Answer:
The required number which is a multiple of 10 is 20.
Step-by-step explanation:
1. We have to divide 4200 by a number that is a multiple of 10.
Let us assume that the number is 20, which is a multiple of 10.
Now, after division, the quotient will be \(\frac{4200}{20}=210\).
2. We have to check whether the quotient is multiple of 10 or not.
Here, the quotient is 210 which is a multiple of 10.
Hence, the required number which is a multiple of 10 is 20. (Answer)
Hope this helps! :)
consider h(x)=x^2+8+15. identify its vertex and y-intercept.
Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, \([x = \frac{-b}{2a}, h(\frac{-b}{2a})]\).
Use the equation: \([x = \frac{-b}{2a}, h(\frac{-b}{2a})]\)In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.
\(x = \frac{-b}{2a}\)
\(x = \frac{-8}{2(1)}\)
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
Solve for the Y-intercept:The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
Please help me I’ll mark brainly
Answer: -3
Step-by-step explanation:
The equation C = (F – 32) is used to convert Fahrenheit temperature to Celsius temperature. What is the value for F, after the equation is rearranged?
5
OF=
+ 32
OF=
32
OF =
= c +32
C - 32
OF=
C = F - 32
F = C + 32
1/2 ^1/2 please show the steps
The value of \((\frac{1}{2} )^{\frac{1}{2} }\) is 0.707.
1÷2 = 0.5
Given, \((\frac{1}{2} )^{\frac{1}{2} }\)
Could be written like, \((0.5)^{0.5}\) or √(1 ÷ 2) or √(0.5)
So the value of √(0.5) is 0.707.
Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:
Step 1: Divide the supplied integer by its decimal equivalent.
Step 2: If the connected components are identical, a pair is generated.
Step 3: Choose one of the pair members for her.
Step 4: Multiply the prime numbers you got by picking one from each pair.
Step 5: This product is the square root of the specified number.
Learn more about factorization at
https://brainly.com/question/2515494?referrer=searchResults
#SPJ1
Find the sum of integers from 33 to 47:
33+34+...+46
+47
The sum of integers from 33 to 47 is 600.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. The Z symbol is a common way for mathematicians to refer to an integer set.An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043.So, the sum of integers:
33 - 47Simply perform addition as follows:
33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46 + 47= 600Therefore, the sum of integers from 33 to 47 is 600.
Know more about integers here:
https://brainly.com/question/17695139
#SPJ13
Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.
Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.
Answer:
Step-by-step explanation:
this is called "monotonically decreasing" as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero, the number gets smaller and smaller.... it approaches zero is what happens.
Your daughter found three pieces of ribbon in all different colors. Their lengths were 2 meters and 1 decimeter; 3 meters and 9 decimeters; and 6 meters and 4 decimeters. What was the length of the ribbons in all? Give a decimal answer in meters.
Answer:
convert the lengths to meters
10dm=1m
1dm=0.1m
hence, firs ribbon
2m+0.1m=2.1m
Second Ribbon
3m and 9dm
convert 9dm into Metres we get 0.9m
hence, 3m+0.9m=3.9m
Third Ribbon
6m+0.4m=6.4m
I need help ASAP I’ll give you brainliest
Answer:
52.62
Step-by-step explanation:
u can fins the area by base times height/2 . you can find the height by 14sin70 which is 13.16
then use 13.16 x 8 / 2 = 52.62
3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
PLEASE HELPPPPPP, I'LL GIVE BRIANLEST
Answer:
31/12
Step-by-step explanation:
3/3-5/12=2/4 doble the 3