Which is the other endpoint of a line segment with one endpoint at (-2, 5) and midpoint at (3, 1)?
A. (1/2, 3)
B. (1, 6)
C. (5/2, -2)
D. (5, -4)
E. (8, -3)
the length of a cube is x centimeters. If x is an integer why can't the volume of the cube equal 15 cm cubed
The volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
Explanation:The question asks why the volume of a cube with a length of x centimeters cannot equal 15 cm³ when x is an integer. In order to calculate the volume of a cube, we use the formula V = s³, where V represents the volume and s represents the length of a side. If x is an integer, the length of the cube can be any integer value.
However, when we substitute x = 15 into the formula, we find that the volume of the cube would be 15³ = 3375 cm³, which is not equal to 15 cm³. Therefore, the volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
How do you divided 14.28 /4.2
2.654 2.564 2.065 2.465
greatest to least
solve for x 9x>-18 answer must be simplified
Find the product 54×653
What is 0.8281 rounded to the nearest whole number?
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental, solve an inequality to determine how many hours she can rent the bicycle and not spend more than $27. Interpret the solution.
The number of hours she can rent the bicycle and not spend more than $27 is 3hours.
How to write an inequality equation?Total amount Maggie wants to spend = $27Fixed charge = $15Hourly charge = $4Number of hours = xThe inequality;
15 + 4x ≤ 27
4x ≤ 27 - 15
4x ≤ 12
x ≤ 12/4
x ≤ 3 hours
Therefore, the number of hours she can rent the bicycle and not spend more than $27 is 3hours
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ann picks a 4 digit number . The first digit is not a zero .The 4 digit number is a multiple of 5. how many different 4 digit numbers could she Pick?
Does anyone know how to do 9 and 10 ???
help !!! i dont understand !
Choose among these options the one that results in a graph that shows exponential decay. A. f(x) = 0.6(2)x B. f(x) = 3(0.7)x C. f(x) = 0.4(1.6)x D. f(x) = 20(3)x
Which of the following expressions is equivalent to the expression x - (-3) ?
x - 3
x + (-3)
x + 3
-3x
Subtracting a negative number is the same as adding its absolute value. Hence, the expression x - (-3) is equivalent to x + 3 in mathematics.
Explanation:A negative number is equivalent to its absolute value when subtracted in mathematics. This is often referred to as the rule 'minus a negative is a positive'. Therefore, the correct answer is x + 3. This is because when you subtract -3 (which is a negative number), it is the same as adding 3. Here's the step by step explanation:
Start with the expression x - (-3). Recognize that subtracting -3 is the same as adding 3. Rewrite the expression as x + 3.This means that x - (-3) is equivalent to x + 3.
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Which doubles fact helps you solve 8+7=15? Write the number sentence.
Answer with explanation:
There are following double facts
When a Number is added to itself the result is twice of that number.
1+1=2 ×1=2
2+2=2×2=4
3 +3=2×3=6
4+4=2×4=8
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Number 15 can be written in two ways
15=14+1-----(1)
=16-1------(2)
So, the double fact that we can use to solve , 8+7=15 are
1.→ 8+7
=14+1
=7+7+1
=(7+7)+1
2. →8+7
=15-1
=(8+8)-1
the average monthly snowfalls in Vail, Colorado, varies between 40 inches and 64 inches from November through April. let S represent the average monthly snowfall during this period.
The number of the day is 936,165
How do you solve this please help
Use multiplication and the distributive property to find the quotient
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each chair? And can you please explain the process using substitution please? Thanks.
36,204+40,918 estimate then find the sum
Combine the like terms to make a simpler expression:
3z+2+(-5z)+6
After the last stop on Mr. Tuttle’s route, the number of students on the bus is 3/4 of its full capacity. Once Mr. Tuttle has completed picking up all the students on his route, if no students have exited the bus, how many students could the remaining empty seats accommodate?
Which number is bigger 2/3 or 66%
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Both Samuel and Helena are correct as the slope-intercept form and the point-slope form can be used to find the equation of a line given two points. The slope-intercept form is y = mx + b, while the point-slope form is y - y1 = m(x - x1). The methods vary but both are effective depending on the given information.
Explanation:Both Samuel and Helena are correct; they have mentioned different forms that can be used to find the equation of a line given two points. The slope-intercept form of a linear equation is commonly written as y = mx + b, where m represents the slope and b represents the y-intercept. The slope, m, describes the steepness of the line, and the y-intercept, b, is where the line crosses the y-axis. In contrast, the point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a specific point on the line and m is the slope. To find the slope, you take two points on the line, say, (x1, y1) and (x2, y2), and use the formula m = (y2 - y1)/(x2 - x1).
Either form will produce the equation of the line, but they require different approaches. The slope-intercept form immediately gives the y-intercept and is generally used when this information is valuable or when the graph will be drawn. Meanwhile, the point-slope form is particularly handy when you have one point on the line and the slope, as it can be used quickly without re-arranging the equation to solve for the y-intercept.
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Both Samuel and Helena's methods are valid for finding the equation of a line. The slope-intercept form (y = mx + b) requires finding the y-intercept, while the point-slope form (y - y1) = m(x - x1) uses a point on the line directly. Both forms yield the same final equation.
Both Samuel and Helena are correct, but they are using different methods to find the equation of a line. The slope-intercept form and the point-slope form can both lead to the same final equation of the line, which will be consistent after simplifying. Here's a step-by-step explanation of both forms:
Slope-Intercept Form (y = mx + b)Slope-Intercept Form is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
First, find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).Next, use one of the given points (x1, y1) and substitute in the found slope and coordinates to solve for b (the y-intercept).Substitute the slope and y-intercept back into the slope-intercept form.Example:
Given points (1, 2) and (3, 4):
Calculate the slope: m = (4 - 2) / (3 - 1) = 2 / 2 = 1.Use one of the points to find b: 2 = 1(1) + b; solving this, we get b = 1.Equation of the line: y = 1x + 1.Point-Slope Form (y - y1) = m(x - x1)The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
First, find the slope (m) using the same formula: m = (y2 - y1) / (x2 - x1).Use one of the given points (x1, y1) and substitute in the found slope.Simplify the equation to convert it to slope-intercept form if needed.Example:
Given points (1, 2) and (3, 4):
Calculate the slope: m = (4 - 2) / (3 - 1) = 2 / 2 = 1.Select point (1, 2): y - 2 = 1(x - 1).Simplify: y - 2 = x - 1;y = x + 1.
Both forms ultimately lead to the same linear equation. Choosing which form to use depends on what information is given and personal preference.
Jack has 12 pencils and 7 pens.how many more pencils than pens does he have
HELP! ANSWER THE QUESTION IN THE PICTURE BELOW. THANK YOU!!!!!!!!
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes? A.74.3% B.55.2% C.44.8% D.37.2% Algebra
The variation in any sample group is simply the square of the correlation coefficient, that is:
variation = r^2
Therefore given an r value, we can simply directly calculate for variation percentage.
variation = (0.743)^2
variation = 0.552 or 55.2%
Answer:
B. 55.2%
Bella pays 7 payments of $5 each to a game store.she returns one game receives $20 back.what is the change of the about of money she has?
Answer:
$15 in total
Step-by-step explanation:
Nina and her friends are going to the downtown rib festival. The festival organizers expect 10,000 people to attend the four-day festival. At the end of the festival the organizers say that they have exceed their expected attendance by 2000 people. What was the average number of people to attend the festival per day?
The average number of people attending the festival per day will be 3,000 per day.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Nina and her friends are going to the downtown rib festival. The festival organizers expect 10,000 people to attend the four-day festival. At the end of the festival, the organizers say that they have exceeded their expected attendance by 2000 people.
The total number of people on four days will be given as,
⇒ 10,000 + 2,000
⇒ 12,000
The average will be given as,
⇒ 12,000 / 4
⇒ 3,000
The average number of people attending the festival per day will be 3,000 per day.
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With the wind, a jet can fly 2500 km in 2 hours 30 minutes. Against the wind, it can fly only 2000 km in the same amount of time. Find the rate of the jet in still air and the rate of the wind.