The y-intercept of the graph of this line is equal to 1.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).
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what is 698347+2834619 times 3 Ill give brainliest
First, we need to perform the calculation within the parentheses:
698347 + 2834619 = 3532966
Then, we can multiply the result by 3:
3532966 x 3 = 10598898
Therefore, 698347+2834619 times 3 is equal to 10598898.
Sue is n years old. Her sister is 7 years old and her brother is twice Sue's age. All three siblings have a total age of 31.
Write an equation to represent this.
n = 10
Her sister is 7 years old subtract that from 31 gets you 24, then double 7 is 14 so subtract 14 from 24, and that gets you the value of 10 which equals 10
Please tell me if this is correct
No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!
how to convert pint to ml
Answer:
1 pin = 473.17 ml
Step-by-step explanation:
1 pin = 473.17 ml
To convert pin to ml, you need to take the number of pin times 473.17.
You’ve learned about function notation in previous lessons, but could you use function notation to add two functions? How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x? What about a function of a function such as f(g(x))? How do you think f(g(x)) could be simplified? What situations can you think of where combining functions would be useful?
And yes, it's has to be explained in sentence, and has to be SIMPLIFY
We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
What is function ?
Function can be defined in which it relates an input to output.
To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.
To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2
Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.
Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
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During football practice,Ivan run 300 m east. Then he runs 200 m west. Finally he runs 50 m east again. 1. What is the distance? illustrate 2. What is the displacement? Illustrate
The Ivan ran a total distance of 550 meters and the Ivan's displacement was 150 meters to the east.
How to find distance?1. To calculate the distance, we need to add up all the distances Ivan ran, regardless of the direction.
Total distance = 300 m + 200 m + 50 m = 550 m
2. To calculate the displacement, we need to find the net change in Ivan's position, which takes into account both distance and direction.
We can start by drawing a diagram to represent Ivan's motion:
<--- 300 m ---> <--- 200 m ---> <--- 50 m --->
East West East
(+) (-) (+)
Here, the arrows represent the direction of Ivan's motion, and the symbols (+) and (-) represent the direction of his displacement.
To find the displacement, we can add up the individual displacements:
Displacement = +300 m - 200 m + 50 m = +150 m
The positive sign indicates that Ivan ended up 150 meters east of his starting position.
So Ivan's displacement was 150 meters to the east.
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Please help me
Nine times the sum of a number and 17 is at least -23. Translate the sentence into an inequality
Answer:
9(x + 17) ≥ -23
Step-by-step explanation:
Let's start by breaking down the sentence:
"A number": We can represent this as a variable, say "x".
"The sum of a number and 17": This is x + 17.
"Nine times the sum of a number and 17": This is 9(x + 17).
"Is at least -23": This means the expression on the left-hand side of the inequality is greater than or equal to -23.
Putting it all together, we get the inequality:
9(x + 17) ≥ -23
the angle of elevation from point a to the top of a cliff is 38. if point a is 80 feet from the base of the cliff, how high is the cliff?
The height of cliff is 62.50 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, the angle of elevation from point A to the top of a cliff is 38°, the point A is 80 feet from the base of the cliff,
Refer to figure attached,
The scene is making a right triangle, with an acute angle 38°, and base (distance from point to base of the cliff) 80 ft, we need to find the length of perpendicular line which is the height of the cliff,
Therefore,
We know that,
tan β = ratio of the perpendicular side to base of a triangle,
Therefore,
tan 38° = AB / 80
AB = 62.50
Hence, the height of cliff is 62.50 ft
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who was the first to conclude the earth was spherical based upon empirical evidence?
Aristotle was the first to draw the conclusion that the Earth is round from actual data.
The first people to reach the empirically supported conclusion that the Earth was spherical were the ancient Greeks. In the sixth century BCE, Pythagoras originally put out the notion of a spherical Earth, which was further expanded by his disciples Parmenides and Plato. Yet in the fourth century BCE, the Greek philosopher Aristotle offered the strongest factual support for a spherical Earth.
Aristotle noted that the Moon experiences a bent shadow from the Earth during lunar eclipses. He understood that the Earth would have to be a sphere for this to happen. Aristotle also observed that the North Star's height fluctuates as one moves north or south, which could only be justified if the Earth were curved. Aristotle came to the conclusion that the Earth was a spherical based on these and other observations, which was a commonly held belief in the ancient world and has subsequently been supported by a wealth of data.
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The diagram shows a solid prism of length 15 cm. The cross section of the prism is the trapezium ABCD. Angle DAB = angle CDA = 90°. AB = 9 cm, DC = 6 cm and AD = 4 cm. Calculate the total surface area of the prism.
Answer:
Total surface area of the prism = 333 cm².
Step-by-step explanation:
The total surface area of the prism is A = 420 cm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
The length of the prism L = 15 cm
Now , cross section of the prism is the trapezium ABCD
And , ∠DAB = ∠CDA = 90°
The measure of sides of the prism are
AB = 9 cm
DC = 6 cm
And , AD = 4 cm
Now , total surface area of prism is A = 2B + ph
On simplifying , we get
S₁ = ( 1/2 ) ( 6 + 9 ) ( 4 x 2 ) + ( 6 x 15 ) + ( 4 x 15 ) + ( 9 x 15 )
S₁ = 345 cm²
Now , the perpendicular CE to AB is drawn and
DC = AE = 6 cm
And , BE = AB - AE = 3 cm
BC² = CE² + BE²
On simplifying , we get
BC = 5 cm
S₂ = 5 x 15 = 75 cm²
So , the total surface area S = S₁ + S₂ = 420 cm²
Hence , the surface area of prism is S = 420 cm²
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The complete question is attached below :
The diagram shows a solid prism of length 15 cm. The cross section of the prism is the trapezium ABCD. Angle DAB = angle CDA = 90°. AB = 9 cm, DC = 6 cm and AD = 4 cm. Calculate the total surface area of the prism.
Given 1 ||
m
||n, find the value of x.
(2x-8)
60°
The value of x if lines m and n are parallel is 64 degrees
How to determine the value of xThe missing information to answer this complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Lines m and n are parallel lines
This means that
2x - 8 + 60 = 180 ---- by angles on a straight line theorem
Collect the like terms
2x = 180 - 60 + 8
Evaluate the like terms
2x = 128
Divide by 2
x = 64
Hence, the value of x is 64 degrees
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the average height for 15 year old boy is
The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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What is the rank of a 4 times 5 matrix whose null space is three-dimensional ? If A is a 6 times 7 matrix what is the largest possible dimension of Col(A) ? If P is a 5 times 5 matrix and Nul(P) is the zero subspace, what can you say about solutions of equations of the form Px = b for b R^5?
a) matrix is 4 x5 , null space is 3 dimensional then rank = 2. b) A is 6x7 matrix : the column vectors with leading 1's of the row vectors forms a basis for column space. Maximum possible dimension for Col(A) = 6.
What is rank of matrix?A matrix's rank is defined as the largest number of its characteristic equation columns (or rows). A matrix's rank is limited to a handful of its rows and columns.
A square matrix has columns (rows) that are only linearly independent if the matrix is not unique. To put it another way, any nonsingular matrix of order m has rank m. The symbol for a matrix A's rank is (A).
A null matrix has 0 rank. No non-zero rows or columns exist in a null matrix. There are no distinct rows or columns as a result. Hence, a null matrix has a rank of 0.
a) matrix is 4 x5 , null space is 3 dimensional then rank = 2
b) A is 6x7 matrix : the column vectors with leading 1's of the row vectors forms a basis for column space.
Maximum possible dimension for Col(A) = 6
c) If null space = {0,0,0,0,0}, then
The for Ax= B, column vector B is the solution for the system.
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Do you believe initiative is an important quality? Defend your answer.
sinθ = -0.9798 (rounded to two decimal places).
What is the Trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.
We can use the identity sin²θ + cos²θ = 1 to find sinθ, since we know cosθ:
sin²θ + cos²θ = 1
sin²θ + 0.2² = 1 (substituting cosθ = 0.2)
sin²θ = 0.96
Taking the square root of both sides, we get:
sinθ = ± 0.9798
Since θ is in the second quadrant, sinθ is negative.
Hence, sinθ = -0.9798 (rounded to two decimal places).
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By bringing another tent. the ratio changes to 3 kids to 4 adults. If there are 9 kids going. How many adults can go with them now
12 adults can go with the 9 kids, while ratio changes 3kids to 4 adults.
What is a ratio?A ratio is a comparison between two or more quantities. It is usually expressed as two numbers separated by a colon.
For example, 2:3 is a ratio indicating two parts of a whole compared to three parts of the same whole. Ratios can also be used to compare different units, such as 5 miles to 8 kilometers. Ratios can provide a useful tool for comparing and contrasting different values.They can be used to compare sizes, proportions, costs, and more.
3 kids : 4 adults
9 kids : x adults
9x = 12*4
x = 12
Therefore, 12 adults can go with the 9 kids.
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Cameron read that his favorite NBA team won their game last night by a score of 142 to 124. Which is true about the digit 2 in each number? The 2 in 142 represents a greater value than the 2 in 124 because 142 > 124. O The 2 in 142 represents a greater value than the 2 in 124 because it is farther right The 2 in 142 represents of the value of the 2 in 124. The 2 in 142 represents 10 times the value of the 2 in 124.
The correct statement about position of 2 is the 2 in 142 represents 10 times the value of the 2 in 124.
We know about the place value of digits. It states that the first digit on the Right Hand Side is the units place. Moving to the left, the next digit holds the value of tens. Moving further left the value increases 10 times.
Based on this, 142 has 2 at the leftmost place. Thus, it's value is 2. But, in the number 124, the two is at second position. It makes it value 20 (as 2 × 10 = 20). Therefore, the number in 124 is ten times of the number is 142.
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100 points and brainliest!!!!!!!!
The system of equations has no solution. Option A is the correct optio.
What is the system of equations?
Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.
Given system of equations is
3x - 9y =0 .....(i)
-x + 3y = -3 .....(ii)
Multiply -3 with equation (ii)
3x - 9y = 9 .....(iii)
Subtract equation (i) from (iii):
3x - 9y = 9
3x - 9y =0
________
0 = 9
Which is a false statement.
Thus the system of equations has no solution.
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Answer:
the answer is A. 0
a measurable part of a line consisting of two endpoints is called___
Answer:
Line Segment
Step-by-step explanation:
what is the answer to (7x + 2) (5x − 11)
Answer:
35xΔ2-67x-22
Step-by-step explanation:
Pls helppp!!!!! You will get 50 points!!!!!!!
Answer:
I hope u understand my handwriting
Answer:
9 Paper Clips
Step-by-step explanation:
See picture below :)
Refection across x=3
Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,
A= [[-1, 0],
[ 0, 1]]
This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.
Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).
Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.
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Which of the following represents the total area of the figure?
44 ft2
400 ft2
440 ft2
484 ft2
Answer:
484ft
Step-by-step explanation:
Split the shape into different shapes like triangles and squares.
area of a triangle: [tex]A=\frac{ab}{2}[/tex]
Area of a square: A = l x w
we say a definite integral is improper if one is infinite, or if the is infinite.
One _____is infinite, or if
The_______is infinite
From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.
One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.
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State the domain and range for the relation. Order from LEAST to GREATEST.
{(-5, 1), (-7, 3), (2, 0), (5, 8)}
Answer:
Domain = {2, -5, 5, -7 }
Range = { 0, 1 , 3 , 8 }
Perform the following translations on the given figures.
The coordinates of triangle A'B'C' after a translation of triangle ABC based on the transformation rule (x, y) → (x - 4, y + 3) are A' (-2, 7), B' (-2, 0), and C' (3, 0).
The coordinates of quadrilateral Q'R'S'T' after a translation based on the transformation rule are Q' (-2, 0), R' (4, 0), S' (-2, -8), and T' (-2, -8).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means subtracting a digit to the value on the x-coordinate (x-axis) of the pre-image of a function.
By translating the coordinate of triangle ABC to the left by 4 units and vertically upward by 3 units, the coordinates include the following:
(x, y) → (x - 4, y + 3)
Coordinate A = (2, 4) → Coordinate A' (2 - 4, 4 + 3) = (-2, 7).
Coordinate B = (2, -3) → Coordinate B' (2 - 4, -3 + 3) = (-2, 0).
Coordinate C = (7, -3) → Coordinate C' (7 - 4, -3 + 3) = (3, 0).
By translating the coordinate of quadrilateral QRST vertically downward by 4 units, the coordinates include the following:
(x, y) → (x, y - 4)
Coordinate Q = (-2, 4) → Coordinate Q' (-2, 4 - 4) = (-2, 0).
Coordinate R = (4, 4) → Coordinate R' (4, 4 - 4) = (4, 0).
Coordinate S = (-4, -4) → Coordinate S' (-4, -4 - 4) = (-2, -8).
Coordinate T = (-2, -4) → Coordinate T' (-2, -4 - 4) = (-2, -8).
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7. Which of the following is the best estimate of the correlation coefficient for the data shown in the scatter plot? A. -0.9 B. -0.4 C. 04 D. 09
The correlation coefficient for the data shown in the scatter plot is- 0.9.
What does correlation coefficient mean?The correlation coefficient is a measure of the strength of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient can be used to measure the strength of the linear correlation between two variables, as well as identify whether a relationship between two variables is positive or negative. It can also be used to compare the strength of different relationships between multiple variables.
The scatter plot shows a strong negative linear relationship between the two variables, indicating that as one variable increases, the other variable decreases. Therefore, the correlation coefficient is likely to be close to -1, making -0.9 the best estimate.
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Can someone help me find the domain and range?
domain is x
range is y
domain is time
range is distance
domain is between 0 & 170 seconds
range is 0 & 60 meters
meters per seconds is like
miles per hour so
this graph is about SPEED !
speed is usually indicated by the graph's
SLOPE !
MaryAnn is printing photos from her recent trip to Europe. An online print shop charges $0.15 per 4x6-inch print, along with a $3.00 fee shipping charge. If MaryAnn has $35 to spend, how many prints can she order?
MaryAnn can order a total of 213 prints for cost $35, including shipping.
Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.
The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.
Let's say MaryAnn orders x prints, then her total cost would be:
Cost = $0.15 x + $3.00
Since her total cost can't exceed her budget of $35, we can set up the following inequality:
$0.15 x + $3.00 ≤ $35.00
Subtracting $3.00 from both sides, we get:
$0.15 x ≤ $32.00
Dividing both sides by $0.15, we get:
x ≤ 213.33
Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.
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what is square feet in 1/4 acre?
The equivalent of 1/4 acre in square feet according to the relation between the two is 10,890.
Square feet and acre are the units which are representative of area covered by a land. The conversion of square feet and acre is simple and can be performed through simple formula -
1 acre is equal to 43, 560 square foot
So, using this relationship to find the square feet equivalent of 1/4 acre.
Area covered by 1/4 acre = amount of area covered in acre × equivalent of one acre in square foot
Area covered by 1/4 acre = 1/4 × 43, 560
Performing multiplication on Right Hand Side of the equation
Area covered by 1/4 acre = 10, 890 square feet
Hence, 10, 890 square feet is occupied by 1/4 acre.
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what is sum of a geometric series?
A geometric progression is the sum of the terms of a geometric progression. The nth partial sum of a geometric sequence can be calculated from the first term a1 and the common quotient r as: Sn=a1(1−rn)1−r.
A geometric progression is a sequence of numbers formed by multiplying the common quotient 'r' by each of the preceding numbers. The first term in this series is a1. And the nth partial sum of the series, Sn is calculated by multiplying the first term a1 by the magnitude (1-rn) divided by (1-r).
This equation gives us the sum of the first n terms of a geometric progression. For example, if a1 = 2 and r = 2, then partial sum S3 of the first three terms in the series is 2*(1-2^3)/(1-2)= 2/1 = 2. In other words is the sum of the first three terms of series '2.' The subsumed equation is very useful tool for computing sum of any number of terms in a geometric series.
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