Answer: It's kinda simple, 2/5 and 4/5
Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!
it takes 8 minutes for byron to fill the kiddie pool in the backyard using only a handheld hose. when his younger sister is impatient, byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. if the hose and sprinkler are used together, it takes 5 minutes to fill the pool. which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?startfraction 5 over 8 endfraction plus 5 r equals 8. 5r
The equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone is 5(8) + 5r = 1.
Simplify surely approach to make it simple. In mathematics, surely or simplification is lowering the expression/fraction/trouble in a less difficult form. It makes the trouble clean with calculations and solving.
Let r be the rate in parts per minute at which the lawn sprinkler would fill the pool if use alone then. If the handheld hose and the lawn sprinkler are used together, we have this equation:
5/r + 5/8 = 1
Simplifying this expression,
5(8) + 5r = 1
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you are designing a marble planter for a city park. you want the length of the planter to be six times the height, and the width to be three times the height. the sides should be one foot thick. because the planter will be on the sidewalk, it does not need a bottom. what should the outer dimensions of the planter be if it is to hold 4 cubic feet of dirt?
Answer: 6 ft by 3 ft by 1 ft
Step-by-step explanation:
it already shows the outer dimension in the world problem just need to put it into numbers
1) Colette is building a doll house that is similar to her real house. She measures her front
door to be 240 centimeters tall and 100 centimeters wide. She decides that she wants
the height of the front door on her doll house to be 10 centimeters.
[4 points] Explain, using complete sentences, how she could find the width of the front
door of the doll house. Be sure to discuss the measurements she needs AND how she
would use these measurements to find the width of the doll house's front door.
The width of the doll house's front door is 2400 cm.
How to find area of Rectangle?The area of the rectangle is
(240 cm x 100 cm) / 2
= 2400 cm
Rectangle area in geometry refers to the area that a rectangle occupies on a two-dimensional plane. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram likewise has equal and parallel opposite sides, but the angles are not exactly 90 degrees. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. whereas the perimeter of a rectangle is equal .To learn more about area of Rectangle refer to:
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Two lines intersect at the point (1, 3).
The y-intercepts of the lines are 1 and 2.
What are the equations of the lines?
In the case of the two lines you described, the y-intercepts are 1 and 2, meaning that the lines cross the y-axis at the points (0,1) and (0,2), respectively.
To find the equations of the lines, you can use the slope-intercept form of a line, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept. Since the lines intersect at the point (1,3), you can use this point and the y-intercept of each line to find the slope of each line.
For the first line, with y-intercept 1, the slope is given by the formula m = (y2 - y1) / (x2 - x1), where (x1,y1) is the given point (1,3) and (x2,y2) is the y-intercept (0,1). Plugging in these values, we get m = (1 - 3) / (0 - 1) = -2. So the equation of this line is y = -2x + 1.
For the second line, with y-intercept 2, the slope is given by the same formula, using the point (1,3) and the y-intercept (0,2). This gives us m = (2 - 3) / (0 - 1) = -1. So the equation of this line is y = -1x + 2.
Therefore, the equations of the two lines are y = -2x + 1 and y = -1x + 2.
What is the slope of the line that passes through the points (4, 7) and (7, 16)? Write your answer in simplest form.
Answer:
3
Step-by-step explanation:
Lets use the slope formula, Which is given as :-
[tex]\sf{ \dfrac{y2-y1}{x2-x1} }[/tex]
Substitute the points we have to the formula :-
[tex]\begin{gathered}\sf \longmapsto {\dfrac{16 - 7}{7-4 }} \\ \sf{ \longmapsto {\dfrac{9}{3}} \\ \sf{\longmapsto 3} \end{gathered}[/tex]
Thus, The correct answer is 3!!
A, B and Care points on the circumference of a circle with centre O.
LACB = 74°
74
Diagram not drawn to scale
Calculate the value of x.
(4 marks)
0x =
Submit Answer
O
Answer:
x = 16°
Step-by-step explanation:
AOB = 74 · 2 = 148°
triangle AOB is isosceles
2x + 148 = 180
2x = 180 - 148
2x = 32
2/2 x = 32/2
x = 16°
Are these parallel, perpendicular, or neither y= --2x+4 and -5x+10y=5
NEED HELP ASAP!!!!
Which of the following equations has no real roots a X² 4x 3 √ 2?
The equation that has no real roots is 3x² + 4√3x + 4.
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
If the discriminant of the equation is less than zero the equation has no real roots.
Discriminant < 0
D < 0
D = b² - 4ac
Now,
The equation is in the form of ax² + bx + c
x² - 4x + 3√2 = 0
D = (-4)² - 4 x 1 x 3√2 = 16 - 12√2 > 0
x² + 4x - 3√2 = 0
D = 16 + 12√2 > 0
x² - 4x - 3√2 = 0
D = 16 + 12√2 > 0
3x² + 4√3x + 4 = 0
D = 16 - 48 = 32 < 0
Thus,
The equation 3x² + 4√3x + 4 has no real roots.
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The complete question is:
Which of the following equations has no real roots
a. x² - 4x + 3√2 = 0
b. x² + 4x - 3√2 = 0
c. x² - 4x - 3√2 = 0
d. 3x² + 4√3x + 4 = 0
Is 2x 3y a binomial?
2x + 3y is a binomial is a true statement.
A polynomial is of various types like binomial, trinomial and multinomial.
Monomial is said to contain only one term, trinomial is said to contain exactly three terms, multinomial contains n number of terms.
An mathematical expression known as a binomial has exactly two terms.
Examples of binomials are 4x² + 5y², xy² + y, x² + 3, x + y, etc.
Here, the given algebraic expression is 2x + 3y, where 2x is one term and 3y is another term. The coefficient of x is 2 and coefficient of y is 3 where as the exponent of x is 1 and the exponent of y is 1.
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What is the slope of the line that passes through the points (2, 8)(2,8) and (12, 20)(12,20)? Write your answer in simplest form.
The slope of the line that passes through the points (2,8) and (12, 20) is 6/5.
What is the Slope of a Line?The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1).given :
points (2,8) and (12, 20)
slope = m=(y2-y1)/(x2-x1).
= 20-8 / 12-2
= 12/10 =6/5
the slope of the line that passes through the points (2,8) and (12, 20) is 6/5.
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Answer:
6/5
Step-by-step explanation:
At which roots does the graph cross the x axis 0?
the root is zero when the graph crosses the X-axis.
what is root?The word root used in mathematics to express a solution of equation.
The root is written in a number or algebraic form.
What happens when graph cross the x axis?When graph crosses the x axis the root of an equation become zero.
hence, we get zero value while crossing the X-axis
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What is example of distributive?
An example of distributive property is 3 × (4 + 7) = (3 × 4) + (3 × 7).
Distributive Property is a property of multiplication and it is related with the distribution of numbers.
It states that the product of three numbers do not change even if the distribution of numbers are changed.
The distributive property of multiplication states that:
a × (b + c) = (a × b) + (a × c).
Let us verify it with help of an example.
3 × (4 + 7) = (3 × 4) + (3 × 7)
Taking L.H.S
3 × (4 + 7) = 3 × 11 = 33
Taking R.H.S
(3 × 4) + (3 × 7) = 12 + 21 = 33
Therefore, L.H.S = R.H.S
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y varies jointly as x and z. If y = -40 when x = -2 and z = -1, what is the variation equation?
Answer:
-20
Step-by-step explanation:
if y varies jointly as x and z, then y = k * x * z
where k is the variation constant.
-40 = k * -2 * -1
-40 =2k
k = -20
What is are the things s2 considered to show that the two triangles are congruent?
Answer:
Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.
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Step-by-step explanation:
What is an expression 6th grade?
Answer:
An expression is a group of terms with an operation performed on them.
TL;DR:
An expression is an equation without an equal sign (=).
Examples:
[tex]\frac{(4x+2y)}{10}[/tex]
[tex]2y-5[/tex]
[tex]3x+2y+z[/tex]
he graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 y minus 4 = x y + 4 x = 1
A system of equations with an infinity number of solutions, along with y = x - 4, is formed with the following equation:
y - x = -4.
What are linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope.b is the y-intercept.The combination of two linear functions results in a system of equations.
Each intersection point of the linear functions is a solution to the system of equations, then a system with infinity solutions will only happen when the two lines are the same, that is, they have the same slope and the same intercept.
Hence the desired equation in this problem is given as follows:
y - x = -4.
Which in slope-intercept form is given by:
y = x - 4.
Which is equals to the graphed equation, hence they intersect infinite times.
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Answer:
A) y - x = -4
Step-by-step explanation:
Rearrange the formula and solve for r.
Answer:
Step-by-step explanation:
The formula of Volume of the Cone, V = 1/3πr^2h
Now, r^2 = 3v/πh
r = √(3v/ πh)
What are the slope and y value at the y-intercept of the line y 3x 5?
The slope is 3 and the y-intercept is −5 of the equation y = 3x - 5.
The line with m as the slope, m, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope.
Slope-intercept form,
y = mx + c
Given equation,
y = 3x-5
Slope, m = 3
y-intercept, c = -5
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What additional information is needed for an AAS congruence theorem?
You must be aware that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles in order to utilize the AAS Theorem to verify congruence.
Triangles are said to be congruent if two of their matching angles and one of their excluded sides are congruent with those of two other triangles. Because it can be demonstrated, this is a theorem.
The AAS Theorem uses two angles and a side to demonstrate triangle congruence, just as the ASA Postulate. The letters are arranged differently from the angles and sides they represent.
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What is equidistant from both endpoints?
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are equal.
In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector. In three dimensions, the locus of points equidistant from two given points is a plane, and generalising further, in n-dimensional space the locus of points equidistant from two points in n-space is an (n−1)-space.
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What is (2x^2 + 6x − 1) subtracted
from (2x^3 − 3x + 2)?
Answer:
2x^3 - 2x^2 - 9x + 3
Step-by-step explanation:
(2x^3 − 3x + 2) - (2x^2 + 6x − 1) =
2x^3 − 3x + 2 - 2x^2 + (-6x) − (-1) = ==> distribute the negative sign to 2x^2,
6x, and -1 in (2x^2 + 6x − 1)
Adding a negative number is equivalent to subtracting by a positive number.
Subtracting a negative number is equivalent to adding by a positive number.
Hence:
2x^3 − 3x + 2 - 2x^2 - 6x + 1 =
2x^3 - 2x^2 - 3x - 6x + 2 + 1 = ==> rearrange the expression in which like
terms are matching
2x^3 - 2x^2 - 9x + 3 ==> simplify
How do you tell if a limit is coming from the right or left?
To tell if a limit is coming from the right or left, you need to look at the sign of the x-value in the limit equation. If the x-value is positive, the limit is coming from the right. If the x-value is negative, the limit is coming from the left.
To determine which side a limit is coming from, you must first examine the x-value in the limit equation. If the x-value is positive, then the limit is coming from the right side. This is because when the x-value is positive, it is approaching from the positive side of the number line. On the other hand, if the x-value in the limit equation is negative, then the limit is coming from the left side. This is because when the x-value is negative, it is approaching from the negative side of the number line. It is important to note that the sign of the x-value in the limit equation indicates which side the limit is coming from.
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if 4x ≤ g(x) ≤ 2x4 − 2x2 + 4 for all x, evaluate lim x→1 g(x).
The value of expression lim x→1 g(x) is 4.
In mathematics, a limit is a point at which a function becomes close to producing the desired result for the given input values. Limits are necessary for calculus and mathematical analysis and are also needed to establish integrals, derivatives, and continuity. It is used during the analysis process and continually thinks about how the function will act in a particular situation. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category.
Given expression,
[tex]4x\leq g(x)\leq2x^{4}-2x^{2} +4[/tex]
For x → 1
4x = 4(1)
= 4
[tex]2x^{4}-2x^{2} +4[/tex] = 2(1)-2(1)+4
= 4
Hence, the value of lim x→1 g(x) is 4.
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24) Use approximation to find the square root of the given number to the nearest hundredth.
√20
Answer:
The square root of 20 is 4.472.
Step-by-step explanation:
What is the nature of the roots of the quadratic equation 4x² 4 √ 3x 3 0?
The roots of the quadratic equation 4x² + 4√3x - 3 = 0 are two distinct imaginary roots.
To find the roots of a quadratic equation, we have to use the quadratic formula. The formula is x = [-b ± √(b² - 4ac)]/2a. In this case, a = 4, b = 4√3, and c = -3. Plugging in the values, we get x = [-4√3 ± √(4√3² - 4*4*(-3))]/8. Simplifying and solving, we get x = [-2i ± √12]/4. Since both solutions contain an imaginary component, this means that the roots of the equation are two distinct imaginary roots.
x = [-4√3 ± √(4√3² - 4*4*(-3))]/8
x = [-4√3 ± √(48)]/8
x = [-2i ± √12]/4
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How do you explain temperature on a graph?
Temperature is typically represented on a graph by plotting points along the vertical (y-axis) to represent the temperature. The horizontal (x-axis) is typically used to represent time or location.
Temperature is typically represented on a graph by plotting points along the vertical (y-axis) to represent the temperature. The horizontal (x-axis) is typically used to represent either time or location. Each point on the graph is a measurement of temperature at a specific moment in time or location. The data points can be connected with a line to create a line graph, which can show temperature trends over time or in different locations. If two sets of data are being compared, such as indoor and outdoor temperatures, two lines can be drawn on the same graph to compare the two. By looking at the graph, one can easily identify the highest and lowest temperatures, as well as any trends over time. Additionally, the graph can be used to identify when temperatures are above or below a certain threshold. Graphs can be used to quickly and easily represent data, making them a powerful tool in understanding temperature.
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Mel slides down waterslide A,
and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in
the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and
after 4 seconds, he was 50 feet in the air. Who was descending at a
faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel's rate of change is
second.
That means that her height in the air decreases
feet every
Victor's rate of change is
second.
That means that his height in the air decreases _
feet every
DONE
Intro
0 000
Answer:
Step-by-step explanation:
answer:
Mel was descending at a faster rate
Mel's rate of change is negative. That means that your height in the air decreases 5 feet every second.
Victor's rate of change is negative. That means that his height in the air decreases 3.33 feet every second.
Answer:
Mel (2, 50) and (5, 35)Victor (1, 60) and (4, 50)
Step-by-step explanation:
Edge 2020.
The cost of ms. Clark's restaurant meal is $25. 50. As a tip, ms. Clark gives the waiter 20% of the meal's cost. What is the total amount ms. Clark pays, including tip? responses $26. 01 $26. 01 $30. 60 $30. 60 $32. 64 $32. 64 $33. 5.
As per the given percentage, the total amount Ms. Clark pays, including tip is $30.1
The term percentage is referred as a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Here we have given that the cost of Ms. Clark's restaurant meal is $25. 50. And as a tip, Ms. Clark gives the waiter 20% of the meal's cost.
Now, we need to find the total amount Ms. Clark pays, including tip.
While we looking into the given question,
The following values are given in the question,
Total amount of bill for Ms. Clark = $25.50
Percentage of tip = 20%
Then the amount of tip is calculated as,
=> 25.50 x 20/100
=> 25.50 x 0.20
=> 5.1
Then the total amount paid by Ms. Clark is
=> 25.50 + 5.1
=> 30.1
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A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (gpa), y. the given data list the number of absences and gpas for 15 randomly selected students. using technology, what is the value of r2? a. –0.56
b. –0.32
c. 0. 32
d. 0.56
Linear regression is used to model the linear relationship between two variables and r2 measures the strength of this relationship. It is calculated by squaring the correlation coefficient, which is a measure of the strength and direction of the relationship.
To determine the value of r2, you can use technology to perform a linear regression analysis on the given data. Linear regression is a statistical method used to model the linear relationship between two variables, x and y. The value of r2, also known as the coefficient of determination, measures the strength of the relationship between x and y and indicates how well the model fits the data.
The value of r2 is calculated using the following formula:
r2 = (Correlation coefficient)2
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the relationship between two variables. It is calculated using the following formula:
r = ∑(x - x')(y - y') / √[∑(x - x')2 ∑(y - y')2]
where x' and y' are the means of the x and y variables, respectively, and ∑ indicates the sum of the values.
To determine the value of r2, you would first need to calculate the correlation coefficient using the given data. Once you have calculated the correlation coefficient, you can then square it to get the value of r2.
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You can use technology to do a linear regression analysis on the supplied data to find the value of r2. A statistical technique called linear regression is used to simulate the linear relationship between two variables, x and y. The strength of the link between x and y is measured by the coefficient of determination, or r2, which also serves as a measure of how well the model fits the data.
The value of r2 is calculated using the following formula:
r2 = (Correlation coefficient)2
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the relationship between two variables. It is calculated using the following formula:
r = ∑(x - x')(y - y') / √[∑(x - x')2 ∑(y - y')2]
where x' and y' are the means of the x and y variables, respectively, and ∑ indicates the sum of the values.
You must first compute the correlation coefficient using the provided data in order to obtain the value of r2. Once the correlation coefficient has been determined, you can square it to obtain the value of r2.
PLS HELP QUICK PLS
The two figures below are similar.
30 in
???
inches
12 in
16 in
What is the length of the missing side?
Answer:
40 inches
Step-by-step explanation:
Similar Triangles
In similar triangles, corresponding sides are always in the same ratio.
Let x be the length of the missing side.
Therefore:
[tex]\implies \sf x:16=30:12[/tex]
[tex]\implies \sf \dfrac{x}{16}=\dfrac{30}{12}[/tex]
[tex]\implies \sf 16 \cdot \dfrac{x}{16}=16 \cdot \dfrac{30}{12}[/tex]
[tex]\implies \sf x=\dfrac{480}{12}[/tex]
[tex]\implies \sf x=\dfrac{40 \cdot 12}{12}[/tex]
[tex]\implies \sf x=40[/tex]
Therefore, the length of the missing side is 40 inches.