8+ 6+ 3+ 2+ 1+ 1 2 3 4 5 6 7 8 9 -9-8-7-6-5-4-3-2 2 이 -3 4 -5+ TY -6+ -7- Pro -8
Answers
To find the equation of the line in its slope-intercept form, you can take two points through which the line passes, find the slope of the line, and then use the point-slope formula.
For example, you can take the points (0,5) and (6,3).
The formula to find the slope of the line is
\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and } \\ (x_1,y_1),(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)So, you have
\(\begin{gathered} (x_1,y_1)=(0,5) \\ (x_2,y_2)=(6,3) \\ m=\frac{3-5}{6-0} \\ m=\frac{-2}{6} \\ m=-\frac{1}{3} \end{gathered}\)Now using the point-slope formula you have
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-5=-\frac{1}{3}(x-0) \\ y-5=-\frac{1}{3}x \\ \text{ Add 5 from both sides of the equation} \\ y-5+5=-\frac{1}{3}x+5 \\ y=-\frac{1}{3}x+5 \end{gathered}\)The equation of a line in its slope-intercept form is
\(\begin{gathered} y=mx+b \\ \text{ Where m is the slope of the line and} \\ b\text{ is the y-intercept} \end{gathered}\)Therefore, the equation of the line shown in the graph, in its slope-intercept form is
\(y=-\frac{1}{3}x+5\)Related Questions
Please help with this guys please I’d appreciate it
Answers
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
Is f(x) = 3x2 - 6x + 2 an example of a quadratic?
Yes
No
Answers
The owner of the course asks you to provide a scale drawing of the green section he requested that you use the length of the legs of the right triangle found in the previous step use the connect line tool to draw your green section in the grid.
The area of gs : 48.67
Length of one leg : 3.21
Length of other leg : 10.5
Length of other leg 12
Answers
Based on the information given, it should be noted that the length of other leg 12.
How to calculate the lengthsBased on the information, the owner of the course asks you to provide a scale drawing of the green section he requested that you use the length of the legs of the right triangle.
Based on the information, 1/2ab = 54
1/2 × 4/3b² = 54
b² = 81
b = ✓81
b = 9
a will be
= 4/3 × 9
= 12 feet.
Learn more about triangles on
brainly.com/question/17335144
#SPJ1
After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
Answers
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material.
For Jen, Alina wants to make a box with a square base whose sides and base are made of wood and whose top is made of metal. The wood she wants to use costs 5 cents per square inch, while the material for the metal top costs 12 cents per square inch. What is the largest possible box (in terms of volume measured in cubic inches) that Alina can make for Jen if she only has $30.00 to spend on materials? (Round your answer to three decimal places.)
Answers
Answer:
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Step-by-step explanation:
Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.
The surface area of the box (excluding the top) is given by:
2(x^2) + 4(x^2) = 6(x^2)
The surface area of the metal top is:
x^2
The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:
6(x^2) + x^2 = 7(x^2)
The cost of the wood for the box is:
5 cents per square inch * 6(x^2) = 30x^2 cents
The cost of the metal for the top is:
12 cents per square inch * x^2 = 12x^2 cents
The total cost of the box is:
30x^2 + 12x^2 = 42x^2 cents
We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:
42x^2 = 3000
Solving for x, we get:
x^2 = 71.429
x ≈ 8.445
Therefore, the maximum volume of the box is:
V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Can someone please do this?
Answers
How do you skip videos on edunuity?
Answers
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastWhat is the slope of a line graphed below?
Answers
Answer:
Undefined
Step-by-step explanation:
The slope of a horizontal line is zero. The slope of a vertical line is undefined.
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
it give f(x) = x-3x⁴ +2x³ -4x² +5x -10 and f(4)(x)?
Answers
Answer:
f(x) + f(4)
Step-by-step explanation:
TRUST ME DO THIS PROCESS
5 frisbees and 3 volleyballs cost $36 the cost of 2 frisbees and 7 volleyballs is $18 which of the following systems could be used to calculate the cost of one frisbee and one volleyball
Answers
Answer:
C
Step-by-step explanation:
I believe it is C because each letter is simply standing for the variable you are missing. So basically, 5 frisbees * the cost of frisbees added to 3 volleyballs * the cost of volleyballs will create the total of $36 --> 5f + 3v = $36. This applies to the 2 and 7 as well, I hope this helps :)
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answers
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
I need to keep 20.0 mg of a drug in my system at a minimum and a Maximum of 140. mg. The half life of the drug that I put in my system is 16 hours. I have put 100.0 mg in my system by ingesting a pill. When is the earliest I should take the next 100.0 mg pill? When is the latest?
Answers
Answer:
Therefore, the earliest time to take the next pill is after 10.85 hours and the latest time is before 15.14 hours have passed.
Step-by-step explanation:
The concentration of the drug in your system after ingesting 100.0 mg can be calculated using the formula:
C = D / V
where C is the concentration, D is the dose, and V is the volume of distribution (assumed to be constant).
At the initial time, t = 0, the concentration is:
C(0) = 100.0 mg / V
After one half-life, t = 16 hours, the concentration is:
C(16) = C(0) / 2 = 50.0 mg / V
After two half-lives, t = 32 hours, the concentration is:
C(32) = C(16) / 2 = 25.0 mg / V
After three half-lives, t = 48 hours, the concentration is:
C(48) = C(32) / 2 = 12.5 mg / V
To find the earliest and latest times to take the next 100.0 mg pill, we need to calculate the concentration at those times and make sure it stays between 20.0 mg and 140.0 mg.
Let's first find the earliest time at which the concentration drops below 20.0 mg.
20.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))
Solving for x:
2^(x/16) = 50.0 / 20.0 = 2.5
x/16 = log2(2.5)
x = 16*log2(2.5) = 16*0.678 = 10.85
So the earliest time to take the next pill is after 10.85 hours.
Now let's find the latest time at which the concentration goes above 140.0 mg.
140.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))
Solving for x:
2^(x/16) = 50.0 / 140.0 = 0.3571
x/16 = log2(0.3571)
x = 16*log2(0.3571) = -15.14
So the latest time to take the next pill is before 15.14 hours have passed.
3p+85
12p - 10
P=?
Please help I have school in like 5 minutes I’m super desperate
Answers
Answer:
1013p
Step-by-step explanation:
3p + 85 . 12p - 10p
3 + 85 ⋅ 12−10
3p +85⋅12p−10p3+1020−10 in all equals 1013p!
Area compound shapes
Answers
Step-by-step explanation:
the area is the sum of the top square of 9×9 and the bottom parallelogram.
we know the length of the parallelogram is still also the square side length : 9ft.
but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is
baseline × height
and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.
so, the area of the square is
9×9 = 81 ft²
the area of the parallelogram is
9×5 = 45 ft²
the total area is then
81 + 45 = 126 ft²
express 3.222......in p/q form
Answers
Answer:
3.22222...... = \(\frac{29}{9}\)
Step-by-step explanation:
In this question we have to convert the number given in recurrent decimals into fraction.
Recurrent decimal number is 3.22222.......
Let x = 3.2222......... -------(1)
Multiply this expression by 10.
10x = 32.2222........... -------(2)
Now subtract the expression (1) from (2),
10x = 32.22222.....
x = 3.22222.......
9x = 29
x = \(\frac{29}{9}\)
Therefore, recurrent decimal number can be written as \(\frac{29}{9}\) which is in the form of \(\frac{p}{q}\).
I need help on this question please?
Answers
parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
What is a parabola in math?
Drawing a parabola for the quadratic function f(x) = ax2 + bx + c results in a U-shaped curve.When an is smaller than zero, the parabola's graph is downward (or opens downward).When the value of an is greater than 0, the parabola's graph ascends (or opens up). The locus of points in that plane that are equally spaced apart from the direct x and the focus is known as the parabola.A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.A parabola's general equation is written as y = a(x - h)2 + k or x = a(y - k)2 + h.Vertex here is indicated by (h, k).The typical form is y = a(x - h)2 + k.-9(x_6)²_1
= -9(x-6)1
=-9x+54
Differentiate x
-9
-9(x-6)²
Subtract
d/dx(-9(x-6)
Calculate x-6
d/dx (-9x+54)
-9x1-1
-9x
=-9
To learn more about parabola refer
https://brainly.com/question/25651698
#SPJ13
Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 months is given by the expression £5e – 35. Factorize 5e – 35.
Answers
Answer:
5(e-7)
have a nice day mate
Order the ratios from least to greatest.
5:8 11:16 18:32
Answers
The least to greatest of the ratio is 18 : 32, 5 : 8, and 11 : 16
Arrange from least to greatestLeast to greatest arrangement can also be referred to as ascending order. Ascending order is the order such that each element is greater than or equal to the previous element.
5 : 8
= 5/8
= 0.625
11 : 16
= 11/16
= 0.6875
18 : 32
= 18/32
= 0.5625
Therefore, the ratio can be arranged as 18 : 32, 5 : 8, and 11 : 16 in ascending order.
Read more on ratios:
https://brainly.com/question/2328454
#SPJ1
Elmo made a 65 potholders each pot holder cost him $1.65 to make if he sells each pot holder for $2.12 how many profit will he make?
Answers
Answer:
Step-by-step explanation:
$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.
This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.
Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.
The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.
Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.
In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.
In order for us to calculate Elmo's profit, we need to determine how much he spent to make the potholders and how much he will earn from selling them.
The total cost of making the handles is the product of the number of handles times the cost per unit:
Total cost = 65 potholders × $1.65/potholder = $107.25
The total revenue from selling the handles is the product of the number of handles times the selling price per unit:
Total revenue = 65 potholders x $2.12/potholder = $137.8
Elmo's profit is the difference between total revenue and total cost:
Profit = Total Revenue - Total Cost
Profit = $137.8 - $107.25 = $30.55
Profit = $30.55
Elmo will make a profit of $30.55 by selling 65 potholders.
convert 0.86 into a fraction and reduce the answer to the lowest terms.
Answers
Answer:
43/50
Step-by-step explanation:
86/100 Divide by 2
43/50
Can't be reduced anymore.
Hope this helped!
Jane is saving her money in order to purchase a new racing bike. She initially saves $3 and plans to double the amount she saves each month. The bike Jane wants is $1,536 at the local bike shop.
Which equation represents this situation, and after how many months, t, will Jane have enough money to purchase the bike?
A.
(3 · 2)t = 1,536; t = 9
B.
3(2)t = 1,536; t = 9
C.
3(2)t = 1,536; t = 11
D.
3(1.2)t = 1,536; t = 35
Answers
Answer:
I'd like to say the answer is C
Select each expression that is a polynomial
5x³ + 2x + 10
04 + 3x³ - 2x + 1
x4
3x³ - 2x + √x - 3
-2
3x 3 + 4x 2 + 1
O-x5 + 3x³ - 2x + 1
Answers
Expression 4 is not a polynomial because it contains a square root, and expression 5 is not a polynomial because it only contains a single variable term (it is a monomial).
What is polynomial?A polynomial is a mathematical expression that consists of variables and coefficients, combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. The variables in a polynomial are typically represented by letters, such as x or y, and the coefficients are constants that multiply the variables.
by the question.
The expressions that are polynomials are:
5x³ + 2x + 10
04 + 3x³ - 2x + 1
x⁴
3x³ + 4x² + 1
-x⁵ + 3x³ - 2x + 1
Polynomials are expressions that consist of variables and coefficients, and only involve addition, subtraction, and multiplication (but not division) of these terms. All of the above expressions fit this definition.
To learn more about subtraction:
https://brainly.com/question/1927340
#SPJ1
Match the correct statement with the given information.
Answers
The matching of column A with column B is;
1) A cones radius increases x3 = The cones volume will increase x9.
2) A cones height increases x3 = The cones volume will increase x3.
3) A spheres radius increases x3 = The spheres volume will increase x27.
4) A cylinders radius increases x6 = The cylinders volume will increase x36.
How to find the Volume of a cone and a sphere?The formula for volume of a cone is;
V_cone = ¹/₃πr²h
The formula for volume of a sphere is;
V_sphere = ⁴/₃πr³
The formula for volume of a cylinder is;
V_cyl = πr²h
A) If the cones radius increases by a product of 3, then we have;
New cone volume = ¹/₃π(3r)²h = 9(¹/₃πr²h)
It will increase by a product of 9.
B) If the cones height increases by a product of 3, the we have;
New cone volume = ¹/₃πr²(3h) = (3)¹/₃π(3r)²h
It will increase by a product of 3.
C) If the spheres radius increases by a product of 3, then we have;
New sphere volume = ⁴/₃π(3r)³ = 27(⁴/₃πr³)
It will increase by a product of 27
D) If the Cylinders radius increases by a product of 6, then we have;
New cylinder's volume = π(6r)²h = 36πr²h
It will increase by a product of 36
Read more about Volume of cone and sphere at; https://brainly.com/question/17129238
#SPJ1
12) Nine chilmadren are building toy bikes. They have 36 toy wheels to share equally. How many toy wheels will each child get?
Answers
HELPPP I MAKE BRAINLIESTT
A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.
Which linear function models the data?
A. c(t) = 5t
B. c(t) = 15t
C. c(t) = 5 + 15t
D. c(t) = 15 + 5t
Answers
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.
(Only the slope will have the t next to it.)
Because $15 is charged EACH HOUR this would be the slope because there is a constant increase
Therefore c(t) = 5 + 15t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.
Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)
Answers
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
x + y > 3
x - 3y < 2
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Read more about inequalities at
brainly.com/question/30977554
#SPJ1
the volume of this rectangular prism is 92.46 cubic feet. what is the value of q? 4.6 ft q 6.7 ft q
Answers
The value of q in the rectangular prism is approximately 3 feet.
To find the value of q in the rectangular prism with the volume of 92.46 cubic feet and dimensions 4.6 ft, q, and 6.7 ft, follow these steps:
1. Recall the formula for the volume of a rectangular prism:
V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
2. Substitute the given dimensions into the formula:
92.46 = 4.6 × q × 6.7
3. Simplify the equation by multiplying the known dimensions:
92.46 = 30.82 × q
4. Solve for q by dividing both sides by 30.82:
q = 92.46 / 30.82
5. Calculate the value of q:
q ≈ 3
So, the value of q in the rectangular prism is approximately 3 feet.
for such more question on rectangular
https://brainly.com/question/28497588
#SPJ11
Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33x + 28
Answers
Answer:
A. 15x^3 -44x^2 +9x +28
Step-by-step explanation:
(5x^2 -3x -4)(3x - 7)
first, distribute by multiplying the terms in each parenthesis with each other:
(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)
simplify:
15x^3 -35x^2 -9x^2 +21x -12x +28
Now combine like terms:
15x^3 -44x^2 +9x +28
4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answers
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation: