Answer:
B
Step-by-step explanation:
y = x ( 3-x) = 3x - x^2 the ' x^2 ' makes it nonlinear
If you were to travel 6 miles, and catch a train and traveled 8 miles, how many miles have you traveled?
Answer:
The answer would be 14 miles!
2-3(x+4)=8
-2/3
-6
2/3
6
Answer:
x = -6
Step-by-step explanation:
2-3(x+4) = 8
2 - 3x - 12 = 8
-3x - 10 = 8
-3x = 18
x = -6
Answer:
x = -6
Step-by-step explanation:
2 - 3 (x + 4) = 8
2 - 3x - 12 = 8
- 10 - 3x = 8
- 3x = 8 + 10
- 3x = 18
x = -18/3
x = -6
___________
hope this helps!
What is the GCF in simplify form
Answer: 9x^2y
the gcf of -63 , 9 and 90 is 9
And the gcf of the variables is x^2 and y
So, 9x^2y
I’m so confused please help me
We can claim that after answering the above question, the As a result, angles the regular polygon has ten sides.
what are angles?An angle is a shape in Euclidean geometry that is made up of two rays, known as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays may combine to generate an angle in the plane in which they are located. An angle is formed when two planes collide. They are known as dihedral angles. In plane geometry, an angle is a potential configuration of two rays or lines that share a termination. The English term "angle" derives from the Latin word "angulus," which means "horn." The vertex is the point at where the two rays, also known as the angle's sides, converge.
The interior angle of a regular polygon with n sides is calculated as follows:
(n-2) * 180° / n = interior angle
The internal angle of the polygon is presented to us as 144°. When we plug this into the formula, we get:
144° = (n - 2) * 180° / n
144° * n = (n - 2) * 180°
144° * n = 180° * n - 360°
144° * n + 360° = 180° * n
360° = 36° * n
n = 10
As a result, the regular polygon has ten sides.
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1. Your stock broker charges a 7% fee every time stocks are bought and sold. How much
profit would you earn from the sale of 250 shares that are worth $4.50 each.
To determine the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker, we need to calculate the total revenue earned and the total cost incurred.
Total revenue earned from selling 250 shares at $4.50 per share:
Revenue = 250 x $4.50 = $1,125
Total cost incurred for buying and selling the shares, including the 7% fee charged by the broker:
Cost = 2 x 250 x $4.50 x 0.07 = $157.50
Here, we are multiplying the number of shares (250) by the price per share ($4.50) to get the total value of the shares. Then we multiply this by 2, since we need to account for both the buying and selling transactions, and then multiply by the broker fee rate of 7% (0.07) to get the total cost incurred.
Therefore, the profit earned from the sale of 250 shares is:
Profit = Revenue - Cost
Profit = $1,125 - $157.50
Profit = $967.50
Hence, the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker is $967.50.
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Use a number line to find equivalent fractions to 2/3
The equivalent fraction for 2/3 is 8/12.
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
If -26+z=15,what is the value is z?
Answer: 41
Step-by-step explanation:
-26+z =1 5
z= 15+26
z= 41
Answer:
z = 41
Step-by-step explanation:
-26 + z = 15. | + 26
-26 + z + 26 = 15 + 26
z = 41
Determine the intercepts of the line.
�
xx-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
�
yy-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, negative ten and three, zero.
The intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
What are the intercepts?
To find the x-intercept, we need to find the point where the line intersects the x-axis. This occurs when the y-coordinate of the point is zero. From the given information, we know that the line passes through the point (3, 0), so this point must be the x-intercept.
Therefore, the x-intercept is (3, 0).
To find the y-intercept, we need to find the point where the line intersects the y-axis. This occurs when the x-coordinate of the point is zero. We can find the equation of the line using the two given points (0, y) and (3, 0):
Slope of the line = (y2 - y1) / (x2 - x1)
= (0 - y) / (3 - 0)
= -y / 3
Using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can write:
y - 0 = (-y/3)(x - 3)
Simplifying this equation, we get:
y = (-y/3)x + 1
Multiplying both sides by 3, we get:
3y = -yx + 3
Adding yx to both sides, we get:
yx + 3y = 3
This is the equation of the line in standard form. To find the y-intercept, we set x = 0:
0 + 3y = 3
Solving for y, we get:
y = 1
Therefore, the y-intercept is (0, 1).
Hence, the intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
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All I need to know is the answer to this problem so I can compare mine.
The measure of the angle A in the given right angled triangle is found as: A = 64.82°
Explain about the trigonometric functions?Angle functions are those of trigonometry. They are used to establish a connection between a triangle's angles and side lengths.The basic operations can be used to calculate the other two side lengths if you only have an angle and one side length. By considering the reciprocal of a primary functions, one can find the reciprocal functions.Applying the sin function in the given right angled triangle.
Sin A = 77/85
Sin A = 0.905
A = Sin⁻¹ (0.905)
A = 64.82°
Thus, the measure of the angle A in the given right angled triangle is found as: A = 64.82°
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1111111111111111111111111111 friends?
Answer:
[tex]k = - 3[/tex]
Step-by-step explanation:
[tex]y = kx[/tex]
[tex]k \times ( - 1) = 3[/tex]
[tex] - k = 3[/tex]
[tex]k = - 3[/tex]
Answer:
[tex]k = -3[/tex]
Step-by-step explanation:
Step 1: Substitute
To solve this problem you are going to need to substitute the values of y and x into the problem y=kx. Which would give you the problem of 3=-1k or 3 = -k to make things easier.
Step 2: Using properties of equality
In order to isolate the value of k you would need to divide both sides by -1 because division cancels out multiplication. You would get [tex]\frac{3}{-1} = \frac{-k}{-1}[/tex] or [tex]-3 = k[/tex]
Step 3: Check
In order to check this problem you would need to insert the values back into the original equation and solve. So that would be 3= -1*-3 which does equal 3. So the answer is correct
129. (1+x)y' = (x + 2)(y − 1)
Calculus vol 2 need help solving this!!!!
By answering the question using the information provided, we can conclude that in order to arrive at the general solution, we must take into account the scenario in which [tex]y-1\neq 0 , y \neq 1[/tex], by constructing equations.
What do you mean by equations?Two equations are said to be equivalent when their bases and solutions line up. To create an equivalent equation, the same quantity, symbol, or expression must be added to or removed from both of the equation's two sides.
We can also create an analogous equation by multiplying or dividing both sides of an equation by a nonzero integer.
Solving differntial calculus
[tex](1+x)y'=( x+2) (y-1)[/tex]
We will first employ varying separation. The variables y and x will be placed on the opposite sides of the equation, and both sides will be integrated.
[tex](1+x)y'/(y-1) = (x+2)dx[/tex]
We will integrate both sides using the substitution[tex]u= y-1,\frac{du}{dy} =y'[/tex]
∫[tex](x+2)dx[/tex] =∫[tex](1+x)\frac{du}{u}[/tex]
㏑l[tex]u[/tex]l +[tex]x[/tex]㏑l[tex]u[/tex]l= [tex]\frac{1}{2} x^{2}+2x+c[/tex]
Substituting [tex]u= y-1[/tex]
㏑l[tex]y-1[/tex]l+ [tex]x[/tex]㏑l[tex]y-1[/tex]l= [tex]\frac{1}{2x^{2} } +2x+c[/tex]
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The complete question is: Find the general solution to the differential equation (1+x)y' = (x + 2)(y − 1).
The ratio of James ' age to Andy's age is 2 : 7. In 8 years' time, the ratio will become
2 : 5, Find James' present age.
Answer: James' age now is 12 years old.
Fill in the table of value for the equation y = 2x + 1
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
Easy simultaneous equation question - help me i cba :)
Answer:
Let x be the cost of 1 kg of mushrooms and y be the cost of 1 kg of turnips.
From the given information, we can form two equations:
2x + 2.5y = 8.55 (Equation 1)
3x + 4y = 13.10 (Equation 2)
To solve for x and y, we can use the method of elimination. Multiplying Equation 1 by 4 and Equation 2 by -2, we get:
8x + 10y = 34.20 (Equation 3)
-6x - 8y = -26.20 (Equation 4)
Adding Equation 3 and Equation 4, we get:
2x + 2y = 8
Simplifying this equation, we get:
x + y = 4 (Equation 5)
Now we have two equations: Equation 2 and Equation 5. We can solve for x and y using substitution or elimination. Here, we will use substitution.
From Equation 5, we can express x in terms of y as:
x = 4 - y
Substituting this expression for x into Equation 2, we get:
3(4 - y) + 4y = 13.10
Simplifying and solving for y, we get:
y = £1.50
Substituting this value for y into Equation 5, we can solve for x:
x + £1.50 = 4
x = £2.50
Therefore, the cost of 1 kg of mushrooms is £2.50 and the cost of 1 kg of turnips is £1.50.
a) The cost of 1 kg of turnips is £1.50.
b) The cost of 1 kg of mushrooms is £2.50.
Look at the picture, I'm really confused
Answer:
Option (C)
-0.46 brother
Answer:
Option (C)
-0.46
Step-by-step explanation:
2 2/5 as an improper fraction in simplest form
Answer: 12/5
Step-by-step explanation:
I need help ASAP.I m really confused with it
How many solutions and what is the solution, as an ordered pair?
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
what is solution ?A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.
given
We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
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a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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ms walker has 15 kilograms of clay she wants to give 3 students an equal amount of clay what is the mass of the clay that each student will get
Answer: 5kg
Step-by-step explanation:
If Ms. Walker has 15 kilograms of clay that she wants to distribute evenly among 3 students, all you need to do is divide 15 by 3. Doing so, we get:
15 kg / 3 = 5 kg
Therefore, each student will receive 5 kilograms of clay.
The mass of clay that each student will get is 5kg.
Here, the given questions ask for a solution that deals with the concept of the basic principle of division. hence implementing the principle we can see that,
The given total amount of clay by Ms. walker is 15 kilograms(kg).
Furthermore, this total amount of clay needs to be divided equally between the 3 students.
Then, let the mass of clay given to each student equally be denoted by M in the equation to find out the solution can be written as
M = Total amount of clay ÷ Total number of students
Then,
M = 15 ÷ 3
M = 5 kg
Therefore, The mass of clay that each student will get is 5kg.
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Fionna, Anuar and Rizza had some cards. Fionna and Anuar had a total of 349 cards. Fionna had 145 cards. Anuar had 3 times as many cards as Rizza. How many cards did Fionna and Rizza have altogether? How do we draw model? I know question but how do we draw the model I need this asap
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
what is unitary method ?A mathematical concept known as the unitary approach entails calculating the value of a single unit in order to calculate the value of a given quantity. Finding the value of one unit and utilising that value to determine the value of a given quantity is an approach for solving problems. For instance, you can use the unitary technique to determine the price of 10 apples if you know that 5 apples cost $10. Now, divide $10 by 5, which equals $2, to determine the price of one apple. The cost of 10 apples is then determined by multiplying the price of one apple ($2) by 10, giving you a final cost of $20.
given
145 total cards with Fionna
349 total cards with Fionna and Aura
Card count with Anuar: 349 - 145
= 204
Rizza's number of cards equals 1/3 of 204.
= 204 / 3
= 68
Total number of cards: 68, 204, and 145
= 417
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
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9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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3 Reflect How is solving an inequality where the variable has a negative coefficient similar to solving an inequality where the variable has a positive coefficient? How is it different?
The variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient.
What is inequality?In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.
What is a coefficient?A coefficient in mathematics is a multiplicative component in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. When the coefficients are themselves variables, they may also be termed parameters.
Recognize that the variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient; in this instance, the relationship between the variable and the inequality symbol has flipped.
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Jenna's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 36 caffeinated teas and 39 decaffeinated teas. What percentage of the teas served were caffeinated?
According to the solution we have come to find that, 48% of the teas served were caffeinated.
What is percentage?A percentage is a way of expressing a proportion or a fraction as a number out of 100. The symbol used for percentage is the "%" sign. For example, if you have 10 apples and you want to express how many of them are red, you can say that 20% (or 2 out of 10) of the apples are red.
To find the percentage of caffeinated teas served, we need to divide the number of caffeinated teas by the total number of teas served, and then multiply by 100 to get the answer as a percentage.
Total number of teas served = 36 + 39 = 75
Percentage of caffeinated teas served = (36/75) x 100%
= 48%
Therefore, 48% of the teas served were caffeinated.
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The line plot above shows the amount of olive oil, in ounces, used in 13 different pizza recipes. Isabella wants to make one pizza from each of the recipes. Will she have enough olive oil to make the pizzas if she buys a 16-ounce bottle of olive oil? Explain or show your reasoning.
By adding all the numbers in the line plot, we conclude that she will have enough olive oil.
Will she have enough olive oil for the 13 recipes?To check this, we just need to add the 13 numbers and see if it is more than 16.
Each point above the line plot means how many times that number will apear in our sum, then the sum will be:
(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))
Now we need to solve that:
(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))
= 2 + 9/4 + 3 + 1 + 1/4
= 2 + 3 + 1 + 9/4 + 1/4
= 6 + 10/4
= 6 + 8/4 + 2/4
= 6 + 2 + 1/2
= 8 + 1/2
That is the amount of ounces of oil that she needs for the 13 recipes, it is less than 16 ounces, so she will have enough oil.
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Part B: create your own cube root function.
Come up with the equation of 2 different cube root functions. None of these can be the parent function y=^3 squared root of x. For each, find the domain, range, x- and y-intercepts, and describe any transformation for each. Also, give the coordinates of 3 points that you known are on the function (coordinates must be exact values).
Mr. Valdez has $95 in his budget to buy paint brushes and
boxes of colored pencils. He will buy an equal number of
each art supply. The cost of each item is shown in the table.
The inequality 3n+ 5n at least 95 can be used to find the
number of each item that he can buy. How much money will
Mr. Valdez have left in the budget after buying the greatest
number of paint brushes and colored pencils?
Answer:
3n + 5n = 8n = 95
n = 11
$95 - $88 = $7
(11 paint brushes, 11 boxes of colored pencils)
PLEASE HELP!!!
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
What is the length of the wood that is needed to replace AD?
8.1 inches
6.2 inches
5.9 inches
7.4 inches
We need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.
Describe Triangle?In geometry, a triangle is a three-sided polygon consisting of three line segments that connect three non-collinear points. These three points are called the vertices of the triangle, and the line segments connecting them are called sides. The sum of the angles of a triangle is always 180 degrees.
Triangles can be classified based on their sides and angles. A triangle with all three sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle.
Triangles can also be classified based on their angles. A triangle with all three angles less than 90 degrees is called an acute triangle, while a triangle with one angle greater than 90 degrees is called an obtuse triangle. Finally, a triangle with one angle equal to 90 degrees is called a right triangle.
First, we can use trigonometry to find the length of side AC. Since angle BCD is 30 degrees and BC = 14, we have:
sin(30) = AC/14
AC = 14*sin(30)
AC = 7 inches
Next, we can use the fact that triangle ACD is a 15-75-90 triangle to find the length of AD. Since angle CAD is 75 degrees, we have:
tan(75) = AD/AC
AD = ACtan(75)
AD = 7tan(75)
Using a calculator, we get:
AD ≈ 8.09 inches
Therefore, we need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.
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Answer:
5.9
Step-by-step explanation:
segment BD was 8.1 so segment AD cant be 8.1
Find the volume of a cylinder with a diameter of 28 meters and a height of 4 and one half meters. Approximate using pi equals 22 over 7.
11,088 cubic meters
2,772 cubic meters
567 cubic meters
284 cubic meters
As a result, the cylinder's capacity is roughly 11,088 cubic metres.
In arithmetic, what is the radius?The diameter of a circular is the distance measured through its middle. The radius of a circle is the distance to the middle to any spot on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d .
First, we need to find the radius of the cylinder. We know that the diameter is 28 meters, so the radius is half of that, which is 14 meters.
Using the formula for the volume of a cylinder, V = πr²h, we can now substitute the given values:
V = (22/7) x 14² x 4.5
Simplifying this expression:
V = (22/7) x 196 x 4.5
V = 11,088 cubic meters
Therefore, the volume of the cylinder is approximately 11,088 cubic meters.
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13) Two supplementary angles
are represented by 3y +10 and 2y+30 What are the measures of each angle?
Up to 180 degrees
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