9514 1404 393
Answer:
slope: 9/5
graph: C
Step-by-step explanation:
In a proportional relationship, the slope is the ratio of y to x. Here, that is ...
slope = y/x = 9/5
__
The graph of a proportional relationship goes through the origin. (eliminates graph B)
For this relationship, y is greater than x. (eliminates graph A)
The appropriate graph for y = 9/5x is graph C.
What are the 3 different types of solutions a 2 variable system can have?
The 3 different types of solutions a 2 variable system can have are a unique solution, no solution and many solutions.
There are 3 types of systems of linear equations which are as follows:
Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.
Example: [tex]\left \{ {{2x + 2y = 4} \atop {4x + 4y = 8}} \right.[/tex]
The system has infinitely many solutions.
Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.
Example: [tex]\left \{ {{x + y = 5} \atop {x - y = -1}} \right.[/tex]
The only solution to the system is (2, 3)
Inconsistent: The system has no solution. The graphs of these equations are parallel lines.
Example: [tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]
The system has no solution.
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Please help me with my work
Answer: 3k^2
Step-by-step explanation:
Convert this equation into standard form
The standard form of the given equation is expressed as; 3x + y = -1
How to write a Linear Equation is standard form?The standard form for linear equations in two variables is expressed as; Ax + By = C
We are given the equation as;
y - 5 = -3(x + 2)
Expanding the bracket gives us;
y - 5 = -3x - 6
Add 3x to both sides to get;
y - 5 + 3x = -6
Add 5 to both sides to get;
3x + y = -1
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PLEASE HELP ME THIS IS DUE BY TOMORROW TAKE ALL MY POINTS JUST PLEASE HELP ME THE QUARTER ENDS TOMORROW SO PLEASE HELP MEEEEE
Maybe one reason people who work in the pentagon never seem to agree on anything is that there are five sides to every story
9 gems will craft a diamond block what do you notice about the rate? write an equivalent ratio to represent this rate
The unit rate of the diamond block is 9
The equivalent ratio of the unit rate of the diamond block is 9/1
What is unit rate?A unit rate is the cost for only one of anything.
This is expressed as a ratio with a denominator of 1.
For instance, if you covered 60 meters in 10 seconds, you did so at an average speed of 6 meters per second.
Although both of the ratios 60 meters in 10 seconds and 6 meters in one second are rates, only the latter is a unit rate.
For the problem, 9 gems will craft a diamond block this means that
9 gems = 1 diamond block, hence for every diamond block 9 gems will be used
The unit rate is 9/1
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What is the surface area of a triangle having a base of 6m and 8m high?
Hi !
[tex]A= \frac{b \times h}{2} = \frac{6 \times 8}{2} = 24m {}^{2} [/tex]
Have a nice day ;)
An
elementary school teacher with 25 students plans to have each of them make a poster about two different states. The teacher first numbers the states (in alphabetical order, from
01 to 50), then uses a random number table to decide which states each kid gets. The random digits are 33874 64946 29977 66233.
a) Which two state numbers does the first student get?
b) Which two state numbers go to the second student?
Therefore , the solution of the given problem of combination comes out to be a) 45 and 10 b) 17 and 10
Define combination.Combinations are mathematical procedures that count the number of possible configurations from a set of items, where the selection direction is immaterial. You can select any arrangement of the parts in any combination. It's possible to mix together combinations and permutations.
Here,
Given :
Total students = 25
a) The first state is represented by the first two-digit number in the random digits, which is 45.
The following random two-digit number, which does not represent a state, is 92.
The following two-digit number in the random sequence is 10, which stands for the first student's second state.
b) The second student's initial state is represented by the following two-digit number (17) from the random digits.
Ten symbolizes the second state for the second state and is the first two-digit number of the random digits.
Therefore , the solution of the given problem of combination comes out to be a) 45 and 10 b) 17 and 10
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What is the factor theorem formula?
The Factor Theorem states that if a polynomial P(x) has a factor (x-a), then P(a) = 0. In other words, if x-a is a factor of the polynomial, then the value of the polynomial when x=a is equal to zero.
The factor theorem is a fundamental concept in algebra and polynomial functions. This can be useful for determining the roots of a polynomial equation.
Key points:
The factor theorem only applies to polynomials, not other types of functions.The factor (x-a) must be a factor of the polynomial, not just a term.The value of P(a) will be zero only if x-a is a factor of the polynomial, not if it is just a root.The factor theorem can be used to find the roots of a polynomial equation by setting P(x) = 0 and solving for x.The factor theorem is closely related to the remainder theorem, which states that if P(x) is divided by (x-a), the remainder is P(a).In summary, The Factor Theorem is a fundamental concept in Algebra and Polynomials, it helps us understand the relationship between the roots and the factors of a polynomial equation and how a root of a polynomial is related to the value of the polynomial evaluated at that point.
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The local water slides have 70 employees, of which 40% are temporary. How many temporary employees are there?
2. What is the new balance for the credit statement shown?
Billing
Date
Payments
& Credits
12/11/--
$70.94
Previous
Balance
$185.74
Finance
Charge
$2.71
New
Purchases
$49.80
New
Balance
So, here on solving the provided question, we can say that the New balance is as [tex]397.51[/tex]
What is balance ?A balance is the sum owing to an account in banking and accounting. The difference between the total debits and total credits posted to an account during an accounting period is referred to as a "balance" in accounting. The account will display a debit balance if the total of all debits exceeds the total of all credits.
Using the above data, first calculate the outstanding balance by using the formula below:
Previous balance-payments is as Unpaid balance
Unpaid balance is as [tex]95.85-45[/tex]
Unpaid balance is as [tex]50.85[/tex]
Finance charge is as [tex]50.85*1.5%[/tex]
Finance charge is as [tex]0.76[/tex]
New balance is as [tex]50.85+0.76+345.90[/tex]
New balance is as [tex]397.51[/tex]
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A bakery sells different packages of muffins. The number of muffins, , and the price in dollars, , of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
The bakery is considering adding a new package of muffins. Which of these combinations would make the relation NOT a function? Select TWO that apply.
A relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
You can choose the components of combos in any order.
Permutations and combinations can be mixed up.
So, given is the ordered pair:
(x, y) = (1, 2); (2, 3); (4, 5); (6, 7); (12, 13)
All of the x-values in a relation must be distinct for it to be a function (i.e. no repetition)
The x values of choices (b) and (d) already exist in the ordered pair, namely (6,7) and (d), from the list of alternatives given (4,5)
Accordingly, (b) and (d) would prevent the relation from being a function.
Therefore, a relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.
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Correct question:
A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
{(1,2),(2,3),(4,5),(6,7),(12,13)}
The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.
a. (10,13)
b. (6,8)
c. (8,12)
d. (4,3)
e. (24,18)
A gym has soccer balls and basketballs. The ratio of soccer balls to basketballs is 3:2. The number of soccer balls at the gym is shown. How many basketballs does the gym have?
Answer: If the ratio of soccer balls to basketballs is 3:2, that means for every 3 soccer balls, there are 2 basketballs.
Let's say there are x soccer balls at the gym.
The ratio can be represented as 3x:2x
So the number of basketballs at the gym would be 2x.
So if you know the number of soccer balls at the gym, you can find the number of basketballs by multiplying the number of soccer balls by 2/3.
For example, if the gym has 18 soccer balls, the number of basketballs would be 2/3 * 18 = 12 basketballs
Step-by-step explanation:
I need this asap because i will get in trouble if i don't pass this
A number cube is rolled 50 times and the results are shown in the graph. Determine the experimental probability of rolling a 1.
Based on the information, we can conclude that we have a 5% chance (probability) of getting 1 in this test of throwing the dice 50 times.
How to calculate the probability of getting 1 according to the results?Taking into account the results of the graph, we can establish the probability of getting the number 1 in the 50 throws made. To do this, we must perform the following procedure:
50 / 100 = 0.50.5 * 10 = 5%In accordance with the above and based on the results of the test we can establish that we have a 5% probability of getting 1. This could be expressed as a 0.05 probability, in which 0 is not at all likely and 1 is very likely.
Note: This question is incomplete because there is some information missing. Here is the complete information:
Image attached
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A system of linear equations with exactly one solution is a(n) __________ system.
Answer:
independent
Step-by-step explanation:
A system of linear equations with exactly one solution is a _independent system.
Please I’m gone faillll helpppooop
On solving the question of the polynomial The quotient = 3x+8 and remainder are and 2 respectively.
What are Polynomials ?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Polynomial long division is an extended variant of the well-known mathematical operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree. Due to the fact that it breaks down a more difficult division issue into simpler ones, it may be completed quickly by hand.
Dividing 3x^3 - 2X^2 + 2x - 1 by x-1
= 3x+8
The quotient = 3x+8 and remainder are and 2 respectively.
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Which of the following ordered pairs is a solution to the inequality y is greater than one fourth times x plus 5? (12, 8) (11, 7) (8, 6) (4, 7)
The ordered pair that is a solution to the inequality:
y > (1/4)*x + 5
is (4, 7)
Which of the given ordered pairs is a solution for the inequality?Here we have the inequality:
y > (1/4)*x + 5
To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true.
For example, for (12, 8)
We will get:
8 > (1/4)*12 + 5
8 > 3 + 5
8 > 8
This is false, so (12, 8) is not a solution.
The pair that is a solution is:
(4, 7)
7 > (1/4)*4 + 5
7 > 1 + 5
7 > 6
This is true.
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A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is . The angle of elevation from sea level to the top of the lighthouse is . Find the height of the lighthouse from the top of the cliff. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale.
There is no numbers provided, but this is how you solve it.
We can use the tangent function to solve for the height of the lighthouse.
Let h be the height of the lighthouse from the top of the cliff.
tan(angle of elevation from sea level to the top of the lighthouse) = (h+ height of lighthouse from sea level ) / distance from the base of the cliff
tan( angle of elevation from sea level to the top of the lighthouse) = (h+x) / distance from the base of the cliff
tan(angle of elevation from sea level to the base of the lighthouse) = (h) / distance from the base of the cliff
By dividing the first equation by the second equation
(h+x) / distance from the base of the cliff = tan( angle of elevation from sea level to the top of the lighthouse) / tan( angle of elevation from sea level to the base of the lighthouse)
(h+x) = (h) * (tan( angle of elevation from sea level to the top of the lighthouse) / tan( angle of elevation from sea level to the base of the lighthouse))
h = (x * tan( angle of elevation from sea level to the base of the lighthouse)) / ( tan( angle of elevation from sea level to the top of the lighthouse) - tan( angle of elevation from sea level to the base of the lighthouse))
After plugging in the values into the equation, we get:
h = (x * tan( )) / ( tan( ) - tan( ))
Round to the nearest tenth
h = (x * tan( )) /
Is 0 0 an infinite solution?
Since 0 = 0 for any value of x, the system of equations has infinite solutions.
What is infinite solution?
Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 Using a formula or method for infinite solutions, you can simplify the equation and make both sides to equal one another, making it an infinite solution. The concept of infinite connotes boundlessness or infinity. Typically, it is denoted by the symbol "".
What is an infinite number?
There are an unlimited number of numbers in a series. a collection of infinitely many natural integers, as an illustration. The initial value 0, and the initial value infinite, are represented by the logarithms and +, respectively.
The original values 0 and infinity are similarly treated when we consider both of the conceivable values and + as a single infinity.
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What is the area of a circle with a diameter of 5 m? use 3.14 for pi. round to the nearest tenth. responses a. 7.9 m² b. 15.7 m²c. 19.6 m² d. 78.5 m²
The area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².
What is circle ?
A circle is a two-dimensional geometric shape defined as the set of all points that are a fixed distance, called the radius, from a central point, called the center. A circle is the set of all points in a plane that are at a given distance from a given point, the center.
The area of a circle is given by the formula A = [tex]\pi r^{2}[/tex], where r is the radius of the circle. To find the area of a circle with a diameter of 5 m, we first need to find the radius. We can do this by dividing the diameter by 2:
r = 5 m / 2 = 2.5 m
Then we can substitute this value of r into the formula for the area of a circle:
A = [tex]\pi r^{2}[/tex] = π(2.5 m)^2 = 3.14 * 6.25 m^2 = 19.63 m²
So the area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².
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Answer:
The Area of a circle with a diameter of 5 m is 19.63 m² rounded to the Nearest tenth, it would be 19.6 m². the answer is c. 19.6 m².
Step-by-step explanation:
good luck to you
The area of a rectangle is 14 1/2 sq cm and one side is 4 1/2 cm. how long is the other side?
Answer:
6cm*4.5cm = 27cm²
5cm*5cm = 25cm²
The first has a greater area - by 2 square centimeters.
Step-by-step explanation:
Answer:5 1/2
Step-by-step explanation:
4 1/2+4 1/2=9
14 1/2 -9=5 1/2
Waht number is 120% of 140
Answer:
x:b116.67
Step-by-step explanation:
120/100
140×100/120
Rosa likes to dance 10 hours a week to stay in shape. She tracks the amount of time
she dances each day.
The table below shows the data for the last five days.
im sorry if the picture is too blurry. but i’ll type it out too in case
1) did rosa meet her goal of dancing 10 hours a week? explain and show your work to prove whether rosa reached her goal.
2) what is the average dance time for the week? show your work to find the average.
then the numbers are on the chart.
Answer:
1) Yes
2) 2.07 hours/day
Step-by-step explanation:
1)
2.2 + 4 + 2 1/4 + 0 + 1.9 =
= 6.2 + 2.25 + 1.9
= 10.35
She danced a total of 10.35 hours, so she did meet her goal.
2)
10.35/5 = 2.07
She danced an average of 2.07 hours per day.
How do you find the perpendicular bisector of a line segment?
The perpendicular bisector can be found by solving for the equation of the line and substituting the two points.
The perpendicular bisector of a line segment can be found by using the midpoint formula. The midpoint formula is used to find the midpoint of two points (x1,y1) and (x2,y2). The formula is:
Midpoint = (x1 + x2)/2, (y1 + y2)/2
Once the midpoint is found, the slope of the perpendicular line is found by using the negative reciprocal of the original line. The formula for the slope of the perpendicular line is y = -1/m * x + b, where m is the slope of the original line.
The equation of the perpendicular bisector is then found by substituting the slope and the midpoint into the equation of a line, y - y1 = m(x - x1).
Finally, the perpendicular bisector can be found by solving for the equation of the line and substituting the two points. The resulting equation is the equation of the perpendicular bisector.
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Julie wanted to match Lisa's obstacle course record of 68.2 seconds. She has already spent thirty-nine and one fourth seconds on wall climbing and 12.84 seconds on the ropes. How much time did she have left to match the record? 12.24 seconds 16.11 seconds 26.41 seconds 28.95 seconds
The time she has left to match the record is 16.11 seconds. The correct answer would be an option (B).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
To match Lisa's obstacle course record of 68.2 seconds, Julie needs to complete the course in 68.2 seconds.
We know that she has already spent 39.25 seconds on wall climbing and 12.84 seconds on the ropes.
So, the time she has left to match the record is:
68.2 - (39.25 + 12.84) = 68.2 - 52.09 = 16.11 seconds
In the above step, use the arithmetic operations to solve.
Hence, the answer is 16.11 seconds.
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The cost of 1 cap and 1 wallet is
£28.
The cost of 2 caps and 1 wallet is
£45.
a) How much does 1 cap cost?
b) How much does 1 wallet cost?
Answer:
1 cap costs 17 dollars
1 wallet is 11
Step-by-step explanation:
45 - 28 = 17
The difference between one wallet and a cap and two caps and a wallet is 17, therefore each cap is 17 dollars
28 - 17 = 11
I hope this helps have a good day (:
Write an equation of the passes through the given point and has the given slope? 1.(10, -4); slope - 2/5
The equation of the line that passes through the point (10, -4) and has the slope -2/5 is y = 2/5 x
How to identify the equation of the lineThe slope, m of the linear function is given as -2/5.
The equation of the line that passes through point (10, -4) is calculated using the point slope formula which is given as:
x₁ = 10
y₁ = -4
m = -2/5
substituting in to the formula
(y - y₁) = m (x - x₁)
y + 4 = -2/5 (x - 10)
y + 4 = -2/5 x + 4
y = 2/5 x + 4 - 4
y = 2/5 x
The equation of the line is given as y = 2/5 x
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How do you find the center of enlargement of a triangle?
To find the center of enlargement, draw line segments between corresponding vertices of pre-image and image triangles, the point where they intersect is the center of enlargement, check that all the line segments intersect at the same point, or use the coordinates of the triangle and the scale factor.
You can follow these steps:
Identify the pre-image triangle. This is the original triangle that will be enlarged.Identify the image triangle. This is the enlarged version of the pre-image triangle.Draw a line segment between the corresponding vertices of the pre-image and image triangles.The point where these line segments intersect is the center of enlargement.To check that you have the correct center of enlargement, you can draw a line segment between any other corresponding vertices of the pre-image and image triangles and check that they intersect at the same point.Another way to find the center of enlargement is to use the coordinates of the triangle and the scale factor. The center of enlargement is the point that remains the same distance from all points on the image and the pre-image. The center of enlargement is the point that the coordinates of the image triangle obtained from the coordinates of the pre-image triangle by multiplying each coordinate by the same scale factor greater than 1.
It's important to note that, the center of enlargement is the same as the center of dilation.
In both ways, it's important to have the pre-image triangle and the image triangle to find the center of enlargement.
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Does anybody know what 5 1/3 minus 3 2/3 and 8 4/7 minus 7 5/7 is? And if possible try simplifying the answers.
Answer: 5 1/3 - 3 2/3 = 1 2/3. 8 4/7 - 7 5/7 = 6/7. Yes its simplified and 100% correct.
Step-by-step explanation:
Find the equation of the line passing through the given point and perpendicular to the given line
Answer:
5x + y = 34
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - 5y = 8 ( subtract x from both sides )
- 5y = - x + 8 ( divide through by - 5 )
y = [tex]\frac{1}{5}[/tex] x - [tex]\frac{8}{5}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, 9 ) into the partial equation
9 = - 25 + c ⇒ c = 9 + 25 = 34
y = - 5x + 34 ← equation of perpendicular line in slope- intercept form
add 5x to both sides
5x + y = 34 ← equation in standard form