The slope of the line that passes through the given two points is m = 26/25.
How to calculate the slope of a line that passes through two points?Consider a line that passes through the points (x1, y1) and (x2, y2).
So, the slope of the line is calculated by
m = (y2 - y1)/(x2 - x1)
Calculation:The given line passes through points (1, 3) and (26, 29).
So, we can consider (x1, y1) = (1, 3) and (x2, y2) = (26, 29).
Then, the slope of the line is
m = (y2 - y1)/(x2 - x1)
= (29 - 3)/(26 - 1)
= 26/25
Therefore, the slope of the given line is 26/25.
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Container A has 300 liters of water, and is being filled at a rate of 6 liters per minute. Container B has 900 liters of water, and is being drained at 2 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
It will take 150 minutes for the two containers to have the same amount of water.
To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:
m = |A - B| / (a - b)
where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.
In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:
m = |300 - 900| / (6 - 2)
m = |-600| / 4
m = 600 / 4
m = 150 minutes
Therefore, it will take 150 minutes for the two containers to have the same amount of water.
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Help ASAP FIRST CORRECT ANSWER GET BRAINLY ANSWER
Diane holds an accounting degree what company might be interested in hiring Diane
Answer: EY
Step-by-step explanation:
Ey is a business' that need people with an accounting degree
Answer:
meaningfulness
Step-by-step explanation:
in psychology, is described as a process through which the high degree of salience or significance of a particular piece of information is being reflected. Information that encompasses meaning related to an individual is described as meaningful. However, meaningfulness is highly dependent on the understanding or comprehension of a particular meaning.
What happens to y=x when the y-intercept is changed
Answer:
When the y-intercept of a line is changed, the line will shift up or down along the y-axis. The slope of the line will remain the same, but the point at which the line crosses the y-axis will change. This means that the position of the line on the graph will change, but the overall shape of the line will stay the same. For example, if the y-intercept of the line y=x is changed from (0,0) to (0,5), the line will shift up by 5 units and will now be represented by the equation y=x+5. This will cause the line to intersect the y-axis at the point (0,5) instead of (0,0).
please perform the following division !!
Answer:
[tex]\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{3}{a}+\frac{2}{b}}{\frac{5}{a^2}-\frac{2}{b^2}} \\ \\ =\frac{a^2 b^2 \left(\frac{3}{a}+\frac{2}{b} \right)}{a^2 b^2 \left(\frac{5}{a^2}-\frac{2}{b^2} \right)} \\ \\ =\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}[/tex]
Farah wants to buy strings of colored lights to hang in her room. She wants to decorate the entire perimeter of the room, which is at least 70 feet. One string of light is 5 feet long. Write and graph a one-step inequality to represent the situation, where x is the number of strings of lights Farah will need to decorate the perimeter of the room.
The expression that shows the situation where x is the number of strings of lights Farah will need to decorate the perimeter of the room = X = 70/5
What is perimeter?Perimeter is defined as the total area of an object which is measured or calculated by addition of the whole sides.
The perimeter of the given room = 70feet
The area covered by 1string of light = 5 feet
The number of spring of light needed would be calculated using X = 70/5 =14
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a pentagon is made up of an equilateral triangle abc of side length 2 on top of a square bcde. circumscribe a circle through points a, d and e. what is the radius of the circle
An equilateral ABC with a side length of 2 cm is placed on top of a square to form a pentagon. BCDE Draw a circle around points A, D, and E. The circle's diameter is: A 1+ 2 3
How many sides are there in a pentagon?An equilateral pentagon is a polygon in the Euclidean plane in geometry that has five equal-length sides. It may create a family of pentagons because the five of its vertex angles can take on a variety of sets of values.
An equilateral pentagon is what?An equilateral pentagon is a polygon with five equal sides in geometry. In turn, its five internal angles may accept a variety of sets of values, allowing it to create a family of pentagons. It is necessary for all angles to sum up to 540 degrees and fall within the range of 0 to 360 degrees.
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A crew of highway workers paved
mile in minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
I don't know .............
Answer to this equation , simplified
If the value of a = 5 and c = √21 then the value of b = 2i, b = -2i.
What is meant by simplest radical form?Simply said, simplifying a radical eliminates the need for further square, cube, fourth, etc. roots to be found. This is known as expressing in the simplest radical form. In the denominator of a fraction, it also means eliminating any radicals. The top and bottom of a fraction are said to be in its simplest form if they only share the number one. For the top and bottom to remain whole numbers, you cannot divide them further. Additionally, lowest terms, or simple form, may be used. Take the fraction, as an example.The formula goes a² + b² = c², where a and b are legs of the triangle (the non hypotenuse sides), and c is the hypotenuse (the side opposite to the right angle).In this problem, we have one leg and the hypotenuse.
Let the equation be a² + b² = c²
substitute the values in the above equation, we get
5² +b² = (√21)²
25+b²=21
Move 25 to the right side
b² = -4
For x² = f(a) the solutions are [tex]$x=\sqrt{f(a)},-\sqrt{f(a)}$[/tex]
[tex]$$b=\sqrt{-4}, b=-\sqrt{-4}$$[/tex]
simplifying the above equation, we get
[tex]& \sqrt{-4}=2 i \\[/tex]
[tex]& -\sqrt{-4}=-2 i \\[/tex]
b = 2i, b = -2i
Therefore, the value of b = 2i, b = -2i.
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What is the slope?
simplify your answer and write it as a proper fraction, improper fraction or integer
Answer:
2
Step-by-step explanation:
Slope is Rise/Run
Pick two points and count the number of units up (rise) and sideways (run) between them
Answer: Slope = 2
Step-by-step explanation: The equation for slope is y2 - y1 / x2 - x1
so using points (2,2) and (3,4)
4-2 / 3-2 = 2/1 = 2
Which number doesn’t share the same pattern as 2, 20, 4, 8, 300
Answer: 3
The full question is: Consider the numbers [2, 20, 4, 8, 300]. Which of the following options does not share the same pattern? Choices: 3, 4, 22, 600, 602, 1994
Step-by-step explanation:
The answer is 3 because all of the other number choices are even.
The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments.48 It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. (b) What is the conclusion of the hypothesis test?
(a). The alternative to the null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅ is Hₐ: At least two 1s are unequal. (b). Refuse H₀ If p-value is less than 0.05, the 5% presumed threshold of significance is exceeded.
What is a typical value?In mathematics, the middle value—which is determined by dividing the sum of each of the values by the total number of values—is the approximate amount in a collection of numbers. To determine the median of a collection of data, add all of the values and divide the result by the total number of values.
Briefing:a). The study's goal is to determine if there is discernible variation in the typical quantity of time spent on childcare services across levels of educational achievement.
Null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅
(The average quantity of time spent on child rearing across educational levels does not change much.)
Alternative hypothesis, Hₐ : At least two μ₁s are unequal.
(The mean number of hours on child care varies significantly depending on the degree of education).
b). Let the level of significance be, ∝ = 0.05
Decision rule: Reject H₀ if p-value ≤ 0.05
The result statistic F has a value of 1.26 and a p-value of 0.2846 based on the provided ANOVA table. Keep in mind that the p-value exceeds the 5% expected level of significance. Therefore, don't reject H₀.
There is insufficient data to draw the conclusion that the average quantity of time spent with child care throughout education level differs significantly.
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This is due tomorrow please help
The two solutions are (0, 1) and (-4, 0)
Increasing graphx-intercept= -4 and y-intercept = 1The slope of the graph is 0.25Two solutions on the lineFrom the question, we have the following parameters that can be used in our computation:
Graph of a linear relationship
From the graph of the linear relationship, we have the following points on the line
(0, 1) and (-4, 0)
Hence, the solutions are (0, 1) and (-4, 0)
Increasing or decreasingOn the graph, we can see that as x increases, the y value increases
This means that the graph is an increasing graph
The interceptsIn (a), we have
(0, 1) and (-4, 0)
These points represent the intercepts
So, we have
x-intercept= -4
y-intercept = 1
The slope of the lineThe slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 1) and (-4, 0)
Substitute the known values in the above equation
So, we have the following equation
Slope = (0 - 1)/(-4 - 0)
Evaluate
Slope = 0.25
Hence, the slope of the line is 0.25
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6. Which of the following strategies can
help you solve 4 x 6? Select all that
apply.
(6x6) + (6 x 6)
(4 x 3) + (4 x 3)
(5x5)+(4x 1)
(5x4) + (1x4)
(2x4) + (2x6)
Answer:
(4x3) + (4x3) and (5x4) + (1x4)
Step-by-step explanation:
When you multiply 4 by 3 you get 12. And 12 + 12 is 24. 4 x 6 is 24 so then that is an answer. And 5 by 4 is 20 and 1 x 4 is 4 you add them you get 24.
NO LINKS!! Please help me with the Domain and Range and Functions Part 2bb
Domain - the set of possible x-coordinates of a function.
Range - the set of possible y-coordinates of a function.
Question 25
Domain is:
x ∈ (- 6, 6), both ends excluded as open circles.Range is:
y ∈ [-5, 3), the lowest point is included as part of graph, the highest value is excluded as open circle..This is a function as it passes the vertical line test.
Question 26Domain is:
x ∈ [- 3, 7], both ends included as part of the graph.Range is:
y ∈ [-1, 5], both ends included as part of the graph.This is not a function as it fails the vertical line test.
Answer:
25) Domain: (-6, 6)
Range: [-5, 3)
26) Domain: [-3, 7]
Range: [-1, 5]
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow shows that the function continues indefinitely in that direction.Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.[ or ] : Use square brackets to indicate that the endpoint is included.The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 25From inspection of the graph, the endpoints of the continuous curve are:
(-6, -3) and (6, 3)As the endpoints are open circles, the values are excluded from the domain and range.
Therefore, the domain in interval notation is:
Domain: (-6, 6)The smallest y-value is y = -5 and the greatest y-value is y = 3.
Therefore, the range in interval notation is:
Range: [-5, 3)Question 26The graph is a conic section (ellipse) and therefore it is not a function.
The smallest x-value is x = -3 and the greatest x-value is x = 7.
The smallest y-value is y = -1 and the greatest y-value is y = 5.
Therefore, the domain and range in interval notation are:
Domain: [-3, 7]Range: [-1, 5]In the data set below, what is the value of the 1st quartile?
(6,7,8,9,10,12,14)
Answer: 7 is the first quartile
Step-by-step explanation:
method to find quartile
Order your data set from lowest to highest values
Find the median. This is the second quartile Q2.
At Q2 split the ordered data set into two halves.
The lower quartile Q1 is the median of the lower half of the data.
The upper quartile Q3 is the median of the upper half of the data.
If the size of the data set is odd, do not include the median when finding the first and third quartiles.
If the size of the data set is even, the median is the average of the middle 2 values in the data set. Add those 2 values, and then divide by 2. The median splits the data set into lower and upper halves and is the value of the second quartile Q2.
5. a rectangular plot of land is to be enclosed by fencing. one side is along a river and so needs no fence. if the total fencing available is 600 meters, fi d the dimensions of the plot to have maximum area.
Using basic geometry and applying the fence only on 3 sides, The required dimensions of the plot to have maximum area is 200 x 200.
What do you mean by geometry?A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.
What do you mean by dimensions of a figure?In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
fence length available = 600m
We only need to fence 3 sides. So length in each side = 600/3
=200m
So, Final dimension = 200 x 200
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Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 39 inches of wire cost?
Answer:
39 inches of wire would cost 156 cents
Step-by-step explanation:
1) Make an Equation
18x = 72
2) Solve for x to determine cost per inch of wire
x = 72/18
x = 4
3. Multiply x value by 39 to get the cost for 32 inches of wire (c)
39x = c
39 (4) = c
156 = c
Regina ran 31 miles last week. This week, she ran 42.5 miles. What is her percent increase to the nearest tenth?
Answer:
36.8%
Step-by-step explanation:
PLEASE MARK BRAINLIEST
42.5-31=11.4
11.4/31 is approx 0.367741935 , or 36.7741935 %.
Rounding it to the nearest tenth gives you 36.8%.
Which of these statements is FALSE? a.) A data set is a characteristic of an individual member of the population that can be measured. b.) The distribution describes what values the variables take and how often they take those values. c.) A data set is a list of numbers that is associated with context. d.) The distribution can be summarized by a frequency table.
The statement A ie A data set is a characteristic of an individual member of the population that can be measured is false
What is statement ?
Depending on the context, the term "statement" in logic can refer to either a proposition or a coherent declarative utterance that can be true or false. Which is the claim a true or false declarative phrase makes.
A sentence that asserts something to be true is called a statement. In the fields of law, banking, and government, there are more types of statements. Every statement makes a claim or a point. If you see an accident, you have to tell the police what you observed in a statement.
A statement is a directive issued to the computer that tells it to carry out a specific task, like display something on the screen or gather input. A succession of assertions make up a computer program.
When It applies to the whole population, in general
The statement that is false is A data set is a characteristics of an individual member of the population that can be measured
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Marcus has $400 in his savings account.
He decides that he will put a fixed
amount of money into his account every
month. His goal is to save $1,000.
A formula describing this scenario is:
1000=400+ xm
where
x = amount saved each month
m = number of months
To reach his goal, Marcus will have to save $(600/m) each month.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Marcus has $400 in his savings account. He decides that he will put a fixed amount of money into his account every month. His goal is to save $1,000.
The formula describing the Marcus saving's scheme is -
1000 = 400 + xm.
where -
[x] - amount saved per month
[m] - number of months
Solving the equation further to find the amount saved per month is -
1000 = 400 + xm
1000 - 400 = xm
600 = xm
x = (600/m)
Therefore, Marcus will have to save $(600/m) each month to reach his goal.
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4. Alex gets $5.00 every week she does cvs
her chores. She did chores 3 weeks.
Now, she wants to buy a video
game for $36.00. How much more
money does she need?
The amount of money that she needs to buy a video game will be $21.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Alex gets $5.00 consistently she does CVS her tasks. She tackled errands for a long time. Presently, she needs to purchase a computer game for $36.00.
The amount of money is given as,
⇒ $36 - $5 x 3
⇒ $36 - $15
⇒ $21
The amount of money that she needs to buy a video game will be $21.
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Drag the operation signs to make the equation true. A
not at all
12
x
+
(74) + 5
3 = 19
Answer: 12 / (7-4)+5 x 3=19
the / is the same as the dividing sign
Step-by-step explanation:
12 / (7-4)+5 x 3=19
12/3+15=19
4+15=19
19=19
:)):))):)/):)::!:&’s
Answer:
ASA
Step-by-step explanation:
1. The stem-and-leaf plot below shows the number
of fish caught in Long Island Sound during a
31-day period. What is the median number of fish
caught?
The median number of fish caught is given as follows:
12.
How to obtain the median of the data-set?First we consider the stem-and-leaf plot given by the image at the end of the answer, which gives each measure of the data-set according to the key.
Then the measures in this problem are given as follows:
6, 7, 8, 8, 9, 10, 10, 12, 12, 13, 14, 14, 17, 21, 22.
The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than.
When a data-set has an odd number of elements, as is the case in this problem, the median is exactly the middle element, which is of:
12.
Missing InformationThe problem is incomplete, hence a similar problem involving finding the median of an stem and leaf plot is given.
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Approximate -12+√32 to the nearest tenth.
-6.3
-5.7
5.7
6.3
The approximate value of -12 + [tex]\sqrt{32}[/tex] is option (A) -6.3
The given expression is
-12 + [tex]\sqrt{32}[/tex]
First find the value of [tex]\sqrt{32}[/tex]
Prime factorization of 32
Prime factorization is defined as the method of expressing a number as a product of its prime factors
32 = 2 × 2 × 2 × 2 × 2
Therefore,
[tex]\sqrt{32}[/tex] = 2 × 2[tex]\sqrt{2}[/tex]
Multiply the numbers
[tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]
The value of [tex]\sqrt{2}[/tex] = 1.414
The the value of 4[tex]\sqrt{2}[/tex] = 4 × 1.414
Multiply the numbers
= 5.656
The value of the expression
-12 + [tex]\sqrt{32}[/tex] = -12 + 5.656
Add the numbers
= -6.344
Approximate value will be
≈ -6.3
Therefore, the result of the expression -12 + [tex]\sqrt{32}[/tex] is -6.3
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following quadratic equation, find the
5 x²+60 x+187=7
(x + 6) is the solution for the quadratic equation 5x² + 60x + 187 = 7
Given,
The quadratic equation;
5x² + 60x + 187 = 7
Arrange this in standard form;
5x² + 60x + 187 - 7 = 0
5x² + 60x + 180 = 0
We have to find the solution for this quadratic equation;
Quadratic formula ;
[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]
Here,
a = 5
b = 60
c = 180
Now,
[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex] = [tex]\frac{-60(+-)\sqrt{60^{2}-4*5*180 } }{2*5}[/tex] = [tex]\frac{-60(+-)\sqrt{3600-3600} }{10}[/tex] = -60±0 / 10 = -60/10 = -6 = (x + 6)
That is,
The solution for the quadratic equation 5x² + 60x + 187 = 7 is (x + 6)
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the area of a triangle is half the area of a square. if the base of the triangle and a side of the square are equal, what is the ratio of the side of
As a result, the area of an equilateral triangle represented across one side of a square is equal to half the area (1/2)of something like the triangle described on one of its diagonals.
What is a square form?A square is a compact, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides. A rectangle with equal length and breadth is also comparable to a square.
Which four types of squares are there?a rectangle with two adjacent sides that is the same length. a quadrilateral with four equal sides and four straight angles. a parallelogram having one right angle and sides that are evenly spaced apart. a right-angled rhombus's form.
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Pslspslspslsp someone help snd pls right answer it’s a test
6. Rachel has a $10,000, three-year loan with an APR of 7.25%.
a. What is the monthly payment?
b. What is the total amount of the monthly payments?
c. What is the finance charge?
a) Rachel's monthly payment for the $10,000 three-year loan with an APR of 7.25% is $309.92.
b) The total amount of the monthly payments is $11,157.12.
c) Rachel's finance charge for the loan is $1,157.12.
What is the finance charge?The finance charge is the interest and other fees paid for a loan or credit.
The finance charge is based on the annual percentage rate (APR).
The monthly payments, total monthly payments, and the finance charge can be determined using an online finance calculator as follows:
N (# of periods) = 36 months (3 years x 12)
I/Y (Interest per year) = 7.25%
PV (Present Value) = $10,000
FV (Future Value) = $0
Results:
Monthly Payment (PMT) = $309.92
Sum of all periodic payments = $11,157.12 ($309.92 x 36)
Total Interest (finance charge) = $1,157.12
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Please help I need it please hrlpppp
The composition of the two functions g of x and f of x is:
(g o f)(x) = 3x² - 15x + 1
How to find the composition of functions?Here we have three known functions, these are:
f(x) = x² - 5xg(x) = 3x + 1h(x)= (x - 1)/xAnd we want to find the composition of functions:
(g o f)(x)
That means that we need to evaluate the function g(x) on f(x), so we will get:
(g o f)(x) = g( f(x))
Then we will get:
g( f(x)) = 3*f(x) + 1
Now we can replace the actual function f(x) there, so we will get:
g( f(x)) = 3*f(x) + 1
g( f(x)) = 3*(x² - 5x) + 1
Now we can simplify that:
g( f(x)) = 3*(x² - 5x) + 1
g( f(x)) = 3*x² - 3*5x + 1
g( f(x)) = 3x² - 15x + 1
Then the composition of functions is:
(g o f)(x) = 3x² - 15x + 1
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