We can manually convert a scatter plot to a four-quadrant graph. For this conversion we shall have to follow the steps noted below :
1) At first, we shall have to delete the trend line from our scatter diagram.
2) Then, we shall have to reformat our X-axis.
3) After that, we shall have to reformat our Y axis.
4) At last, once we have updated both the X and Y axis values, we should have an XY Scatter Diagram with Four Quadrants.
The goal of the XY Scatter chart with quadrants is to create a chart in Excel that plots data points on a percentage scale for X and Y and also shows quadrants with a different scale. Instead of the normal 0 to 100, the X and Y axis run from 100% to 0%.
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What is the slope of the graphed line? Responses −52 negative 5 over 2 25 2 over 5 52 5 over 2 72 7 over 2 A line graphed on a Coordinate plane with x axis ranging from 0 to 10 and y axis ranging from 0 to 10. The line passes through the points begin ordered pair 0 comma 2 end ordered pair comma begin ordered pair 2 comma 7 end ordered pair.
-090
Step-by-step explanation:
Determine the ratio of surface area to volume for each triangular prism
The ratio of surface area to volume for each triangular prism will be;
⇒ 224 : 2592
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
In first figure,
The height of triangular prism = 4 cm
The base of triangular prism = 3 cm
The Length of triangular prism = 8 cm
In second figure,
The height of triangular prism = 12 cm
The base of triangular prism = 15 cm
The Length of triangular prism = 24 cm
Now,
We know that;
The volume of triangular prism = (Perimeter of base × length of prism)
+ (2 × Base area)
In first figure,
Perimeter of base = 2 (3 + 8)
= 22 cm
And, Area of base = 3 × 8
= 24 cm²
Thus, We get;
The volume of triangular prism = (Perimeter of base × length of prism)
+ (2 × Base area)
= (22 × 8) + (2 × 24)
= 176 + 48
= 224 cm³
In second figure,
Perimeter of base = 2 (15 + 24)
= 78 cm
And, Area of base = 15 × 24
= 360 cm²
Thus, We get;
The volume of triangular prism = (Perimeter of base × length of prism)
+ (2 × Base area)
= (78 × 24) + (2 × 360)
= 1872 + 720
= 2592 cm³
So, The ratio of surface area to volume for each triangular prism will be;
⇒ 224 : 2592
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Jamir made 48 cookies for a picnic. He wants to give each of his 3 friends an equal number of cookies. How many cookies will each of Jamir's friends get
Answer:
16
Step-by-step explanation:
48 divided by 3 is 16, so each of his friends will get 16 cookies.
Suppose x is 5 and y is 7. Choose the value of the following expression: (x != 7) && (x <= y) a. false b. true c. 0 d. null
The value of the expression (x != 7) && (x <= y) is: B. true
The expression is a combination of two logical conditions joined by the logical operator "&&" which means "and". The first condition "x != 7" checks if x is not equal to 7, which is true because x is 5. The second condition "x <= y" checks if x is less than or equal to y, which is also true because x is 5 and y is 7.
Since both conditions are true, the entire expression evaluates to true. The logical operator "&&" only returns true if both the conditions are true, else it will return false.
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Quadrilateral pqrs is located at p (−4, 1), q (−2, 3), r (1, 1), and s (−2, −2). russell and jamie have both classified pqrs differently. examine their proofs. who is correct? russell jamie pqrs is a parallelogram because both pairs of opposite sides are parallel segment pq p (−4, 1) and q (−2, 3) m equals 3 minus 1 over negative 2 plus 4 equals 2 over 2 equals 1 segment sr s (−2, −2) and r (1, 1) m equals 1 plus 2 over 1 plus 2 equals 3 over 3 equals 1 segment ps p (−4, 1) and s (−2, −2) m equals negative 2 minus 1 over negative 2 plus 4 equals negative 3 over 2 segment qr q (−2, 3) and r (1, 1) m equals 1 minus 3 over 1 plus 2 equals negative 2 over 3 segments pq and sr are parallel, and segments ps and qr are parallel. pqrs is a parallelogram because both pairs of opposite sides are congruent segment pq p (−4, 1) and q (−2, 3) d equals the square root of the quantity negative 2 plus 4 all squared plus 3 minus 1 all squared equals the square root of the quantity 4 plus 4 equals the square root of 8 equals 2 times the square root of 2 segment sr s (−2, −2) and r (1, 1) d equals the square root of the quantity 1 plus 2 all squared plus 1 plus 2 all squared equals the square root of the quantity 9 plus 9 equals the square root of 18 equals 3 times the square root of 2 segment ps p (−4, 1) and s (−2, −2) d equals the square root of the quantity negative 2 plus 4 all squared plus negative 2 minus 1 all squared equals the square root of the quantity 4 plus 9 equals the square root of 13 segment qr q (−2, 3) and r (1, 1) d equals the square root of the quantity 1 plus 2 all squared plus 1 minus 3 all squared equals the square root of the quantity 9 plus 4 equals the square root of 13 segments pq and sr are congruent, and segments ps and qr are congruent. russell jamie both neither
According to the question quadrilateral pqrs, the russell jamie both neither is neither.
The Quadrilateral pqrs is located at p (−4, 1), q (−2, 3), r (1, 1), and s (−2, −2).
A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles. There are two main types: concave and convex.Russell:
PQRS is a parallelogram because both pairs of opposite sides are parallel
Segment pq is p (−4, 1), q (−2, 3).
Slope=[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]& m=\frac{3-1}{-2+4}=\frac{2}{2}=1[/tex]
Segment SR is s (−2, −2) and r (1, 1)
[tex]& m=\frac{1+2}{1+2}=\frac{3}{3}=1[/tex]
Segment ps is p (−4, 1), s (−2, −2)
[tex]& m=\frac{-2-1}{-2+4}=\frac{-3}{2}[/tex]
Segment qr is q(-2,3) and r(1,1)
[tex]m=\frac{1-3}{1+2}=\frac{-2}{3}[/tex]
Segments pq and sr are parallel, and segments ps and qr are parallel.
Jamie:
pqrs is a parallelogram because both pairs of opposite sides are congruent
Distance between two points is the length of the line segment that connects the two points in a plane
Segment pq is p (−4, 1), q (−2, 3).
[tex]& d=\sqrt{(-2+4)^2+(3-1)^2}=\sqrt{4+4}=\sqrt{8}=2 \sqrt{2}[/tex]
Segment SR is s (−2, −2) and r (1, 1)
[tex]& d=\sqrt{(1+2)^2+(1+2)^2}=\sqrt{9+9}=\sqrt{18}=3 \sqrt{2}[/tex]
Segment ps is p (−4, 1), s (−2, −2)
[tex]& d=\sqrt{(-2+4)^2+(-2-1)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
Segment qr is q(-2,3) and r(1,1)
[tex]d=\sqrt{(1+2)^2+(1-3)^2}=\sqrt{9+4}=\sqrt{13}[/tex]
Segments pq and sr are congruent, and segments ps and qr are congruent.
Therefore, the correct option is neither.
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Both Russell and Jamie are correct. PQRS is a parallelogram with slope because both pairs of opposite sides are parallel, and it is also a parallelogram because both pairs of opposite sides are congruent.
Russell is correct because he used the slope of the lines to prove that both pairs of opposite sides are parallel. He calculated the slope of the lines using the equation m = (y2 - y1)/(x2 - x1) and found that the slopes of the two pairs of opposite sides (PQ and SR, and PS and QR) are equal, which means that the lines are parallel.
Jamie is also correct because he used the distance formula to prove that both pairs of opposite sides are congruent. He calculated the distance between the points using the equation d = √((x2 - x1)^2 + (y2 - y1)^2) and found that the distances of the two pairs of opposite sides (PQ and SR, and PS and QR) are equal, which means that the lines are congruent.
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Does someone know how to do this we have a sub
Answer:
1/5, 20 diveded by 5 is 4, 20%
A fair die is rolled 5 times. What is the expected sum of the 5 rolls?
Answer:
5-30
Step-by-step explanation:
expectation of single
A child's weight (lbs) can be expressed as the function f(x)= 0.5x + 7.8. where x is time in months. How much did the
child weigh when it was born?
On solving the provided question, we can say that - the of the function f(x) = 0.5x + 7.8 = 9.8
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
here, we are provided with the function -
f(x)= 0.5x + 7.8
and given from question, x = 4
f(x) = 2 + 7.8 = 9.8
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A factory uses 3/8 of a barrel of pecans in each batch of cookies. Yesterday, the factory used 3/4 of a barrel of pecans. How many batches of cookies did the factory make yesterday
Answer:
3/4
Step-by-step explanation:
1 batch of cookies is equal to 0.375. 3/4 a barrel of cookies is equal to 0.75. 0.75/0.375 is equal to 2. So 3/4 a barrel is 2 batches of cookies.
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
The solution to the system of equations is (3,1).
2x - 3y = 6
3x + 2y = 7
(3,1)
Multiply the first equation by 3:
6x - 9y = 18
Add the two equations:
9x - 7y = 25
Divide both sides by 9:
x - y = 25/9
Substitute 25/9 for x in the second equation:
3(25/9) + 2y = 7
Simplify:
25 + 18y = 63
Subtract 25 from both sides:
18y = 38
Divide both sides by 18:
y = 38/18
Substitute 38/18 for y in the equation x - y = 25/9:
x - (38/18) = 25/9
Simplify:
x = (25/9) + (38/18)
Simplify:
x = 63/9
Therefore, the solution is (63/9, 38/18) or (3,1).
The solution to the system of equations is (3,1).
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Find three consecutive even integers such that the sum of twice the first and three times the third is fourteen more than four times the second.
Step-by-step explanation:
if the three numbers are x,x+1,x+2
2x+3(x+2)=(x+1)4+14
5x+6=4x+18
×=12
What are the properties of centroid of a triangle?
The centroid is the point at which the three medians of the triangle meet, divides each median proportionally, is always inside the triangle, equidistant from each vertex, and is the center of gravity.
1. The centroid of a triangle is the point at which the three medians (the lines connecting each vertex to the midpoint of the opposite side) of the triangle meet.
2. The centroid divides each median into two segments that are proportional to the lengths of the sides of the triangle.
3. The centroid is always inside the triangle, regardless of its shape.
4. The centroid is always equidistant from each vertex of the triangle.
5. The centroid is the center of gravity of the triangle, meaning that it is the point at which the triangle would balance if it were suspended.
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The properties of centroid of the triangle is explained below.
The term triangle is defined as the polygon with three sides, three vertices and three angle in it.
Here we need to list down the properties of the centroid of the triangle.
In order to identify the properties, first we must know the defnition of centroid.
The term centroid in math is defined as the point that is presented in at 2/3 of the distance from the vertex to the mid-point of the sides.
Here we know that the centroid has the special property that, here for each median, and the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex. Here we also that the three medians of a triangle divide the triangle into six regions of equal area.
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A rectangular deck is built around a square pool. The pool has side length s. The length of the deck is 5 units longer than twice the side length of the pool. The width of the deck is 3 units longer than the side length of the pool. What is the area of the deck in terms of s? write the expression in standard form.
The area of the deck in terms of s is 2s^2 + 7s + 15. The expression can be written in standard form as A = 2s^2 + 7s + 15.
The area of the deck can be expressed in terms of s using the standard form of a rectangular area equation, A = lw, where l is the length and w is the width. The side length of the pool is s and the length of the deck is twice the side length of the pool plus 5, or 2s+5. The width of the deck is 3 units longer than the side length of the pool, or s+3. Substituting these values into the area equation gives us:
A = (2s+5)(s+3)
A = 2s^2 + 7s + 15
Therefore, the area of the deck in terms of s is 2s^2 + 7s + 15.
The expression can be written in standard form as A = 2s^2 + 7s + 15.
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The area of the rectangular deck built around the square pool of side, s in terms of s is 2s² + 11s + 15.
Therefore the answer is 2s² + 11s + 15.
The pool has side length s. The length of the deck is 5 units longer than twice the side length of the pool, that is
l = 2s + 5
The width of the deck is 3 units longer than the side length of the pool, that is
b = s + 3
Deck is in rectangular shape, thus the area of the deck in terms of s can be calculates by
A = lb = (2s + 5)×(s + 3)
= 2s² + 6s + 5s + + 15
= 2s² + 11s + 15
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Please help!! And please explain how you got it I really don’t understand
Answer:
Step-by-step explanation:
do it better than what you did before.
A movie theater went through 2 pounds of popcorn every 9 hours. They went through ___ of a pound every hour.
The pound per hour when the movie theater went through 2 pounds of popcorn every 9 hours is 2/9 pounds
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, the movie theater went through 2 pounds of popcorn every 9 hours. The pound per hour will be:
= Number of pound / Number of hours
= 2/9
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Based on this data, what is a reasonable estimate of the probability that the Canadian Rounders have 000 players injured for their next match?
The probability that the Canadian Rounders have 0 players injured for their next match is 1/4 or 25%.
What is the probability?This implies the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happeing of the event.
The total number of matches = 4+5+2+3+2
The total number of matches = 16
Total, that has zero injured players = 4
The probability will be:
= 4 / 16
= 0.25
The probability is 0.25.
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Complete question
The following frequency table summarizes this year's injuries on the Canadian Rounders cricket team.
Number of injured players Number of matches
0 | 4
1 | 5
2 | 2
3 | 3
4 | 2
Based on this data, what is a reasonable estimate of the probability that the Canadian Rounders have 0 players injured for their next match?
Solve the system by graphing. please Help
Answer:
Solution is (-1,7)
Step-by-step explanation:
Graph is shown
y=2x+9 is in red
y=6-x is in blue
Hope this helps :)
If f(x) = x² - 2x, find:
ƒ(5) = [?]
Answer:
15
Step-by-step explanation:
to find f(5), all you do is substitute 5 for both of the x's. do this in a calculator and you'll get the same thing as i did.
HELP ME. What is 12*2/2*100?
Answer:
1200
Step-by-step explanation:
12 multiplied by 2 is 24.
24 divided by 2 is 12.
12 times 100 is 12 plus 2 zeros, or 1200.
The graphs of the equations Ax+By=7 and Ax-By=3 intersect at (1,-2).
Determine the value of A and B
please show work :)
Step-by-step explanation:
we create 2 equations with 2 variables by using the given point coordinates in both :
A×1 + B×-2 = 7
A - 2B = 7
A×1 - B×-2 = 3
A + 2B = 3
to solve we can simply add both equations to temporarily eliminate B and solve for A :
A - 2B = 7
A + 2B = 3
-------------------
2A 0 = 10
A = 10/2 = 5
now, we use one of the original equations to solve for B :
5 + 2B = 3
2B = -2
B = -2/2 = -1
find the quotient 2 divided by 3/7.
Answer:
14/3
Step-by-step explanation:
Flip the second fraction's numerator and denominator to get its reciprocal of 7/3. Then, you simply multiply it by 2, which equals 14/3.
How do you solve m =( y2 y1 )/( x2 x1?
If AD was congruent to DC and AB was congruent to BC, Determine whether quadrilateral ABCD Is a parallelogram (explain your answer
Angle DBC and angle ADB constitute a pair of alternate internal angles which are congruent," which concludes the evidence.
How to find whether quadrilateral ABCD is a parallelogram?The final sentence that establishes that ABCD is a parallelogram is "Angle DBC and angle ADB form a set of alternate interior angles which are congruent."
A parallelogram has opposing sides that are parallel and equal.
AB = DC and AB || DC as stated. Only AD || BC and AD=BC need to be demonstrated. As a result, the qualities of AD=BC are demonstrated. And a pair of alternative interior angles for demonstrating AD || BC should be equal.
This leads to Phrase C, "Angle DBC and angle ADB constitute a pair of alternate internal angles which are congruent," which concludes the evidence.
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What is the median age of a family whose
members are 42,38 14, 12, 10, 8 years old.
Answer:
13
Step-by-step explanation:
8, 10, 12, 14, 38, 42
12+14/2 = 13
PLEASE THIS IS AN EMERGENCY I NEED HELP QUICK!!!!!
1.Compare the expressions 7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2using < , =, > or . Show your work.
Answer:
The comparison of the expressions is 7 + 3² -2 * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²
How to compare the expressionsFrom the question, we have the following parameters that can be used in our computation:
7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2
Express the exponents properly
This gives
7 + 3² -2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²
Evaluate the exponents
So, we have the following representation
7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4
Evaluate the expressions in brackets
So, we have the following representation
7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4
Solve the products and quotients
7 + 9 - 2.5 - 2 and 7 - 4
So, we have
11.5 and 3
11.5 is greater than 3
So, we have
11.5 > 3
Rewrite as
7 + 3² -2 * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²
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The tensile strength for a certain steel wire is 3000 mn/m2. What is the maximum load that can be applied to a wire with a diameter of 3. 0 mm made of this kind of steel?.
The maximum load that can be applied to the wire made of that kind of steel is 21195 N. The result is obtained by using the tensile strength equation.
What is tensile strength?Tensile strength is the maximum load or stress that a material can withstand without fracture when being stretched or pulled per its cross-sectional area.
The statement can be expressed as
σ = F/A
Where
σ = tensile strengthF = force acting on the materialA = cross-sectional areaThe tensile strength of a certain steel wire is 3000 MN/m². The diameter of the wire is 3.0 mm. Find the maximum load that can be applied to the wire!
Let's count the cross-sectional area!
A = πr²
A = 3,14 (½d)²
A = 3,14 [½(3.0 × 10⁻³)]²
A = 3,14 (1.5 × 10⁻³ m)²
A = 3,14 (2.25 × 10⁻⁶) m²
A = 7.065 × 10⁻⁶ m²
The maximum load is the maximum value of the force acting on it.
σ = F/A
3000 MN/m² = F / 7.065 × 10⁻⁶ m²
3000 × 10⁶ N/m² = F / 7.065 × 10⁻⁶ m²
F = 3 × 10⁹ × 7.065 × 10⁻⁶ N
F = 21.195 × 10³ N
F = 21195 N
Hence, the steel wire can have the maximum load of is 21195 N.
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Select the correct answer from each drop-down menu. given: prove: a transversal line intersects two parallel lines a and b with values of corresponding angles congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6). complete the proof. statements reasons 1. given 2. corresponding angles theorem 3. vertical angles theorem 4. transitive property of congruence
A transversal line intersects two parallel lines a and b with values of corresponding angles congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6).
∠1 ≅ ∠5 (corresponding angle theorem)
∠7 ≅ ∠5 (vertical angle theorem)
∠1 ≅ ∠7 (Transitive property of congruence)
Complete question is at the end of solution.
As per the given data, a transversal line intersects two parallel lines a and b.
The values of corresponding angles congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6)
How to find angles?Line a is parallel to line b.
Therefore,
a ║ b
Let's prove ∠1 ≅ ∠7
Hence,
∠1 ≅ ∠5 (corresponding angle theorem)
Corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal when two parallel lines are cut by the traversal.
∠7 ≅ ∠5 (vertical angle theorem)
Vertical angles theorem or vertically opposite angles theorem:
According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal.
Vertical angles are the angles formed when two lines intersect each other.
∠1 ≅ ∠7 (Transitive property of congruence)
Transitive property of congruence: If two lines, angles, or triangles are congruent with one another, then the first line, angle, or triangle is congruent with the second, third, or fourth line, angle, or triangle.
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The given statement states that a transversal line intersects two parallel lines, a and b, with corresponding angle congruent pairs of (1, 5), (4, 8), (3, 7), and (2, 6). The proof uses the corresponding angles theorem, vertical angles theorem, and transitive property of congruence to show that the angles are congruent.
Given 2. Corresponding angles theorem 3. Vertical angles theorem 4. Transitive property of congruence Reasons: 1. The transversal line intersects two parallel lines a and b with values of corresponding angles congruent pairs of (1, 5), (4, 8), (3, 7), and (2, 6). 2. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 3. If two angles are vertical angles, then they are congruent. 4. If two angles are congruent to the same angle, then they are congruent to each other.
The given statement states that a transversal line intersects two parallel lines, a and b, with corresponding angle congruent pairs of (1, 5), (4, 8), (3, 7), and (2, 6). The proof uses the corresponding angles theorem, vertical angles theorem, and transitive property of congruence to show that the angles are congruent.
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How do you find 1/3 of a line segment?
To find 1/3 of a line segment, divide the line segment into three equal parts. Measure the length of one of these parts and this will be 1/3 of the line segment.
This can be done by using a ruler or a measuring tape. Alternatively, if the length of the line segment is known, divide it by 3 to find 1/3 of the line segment. For example, if the line segment has a length of 12 inches, then the length of 1/3 of the line segment is 4 inches. If the line segment is curved, you can divide it into three equal arc lengths using a compass.
You can then measure the length of one of these arcs to find 1/3 of the line segment. To make sure that the three parts are equal, you can use the Pythagorean theorem or the triangle inequality theorem. This will help you to accurately divide the line segment into three equal parts.
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Which value of x is the solution to the equation?
3x = 6
Responses
x = 2
x, = 2
x = 3
x, = 3
x = 4
x, = 4
x = 18
x, = 18
Answer:
x = 2
Step-by-step explanation:
6/3 = 2
What is the area of the triangle?
Calculating the area of a triangle:
[tex]A=\frac{1}{2}bh[/tex]
A = areab = baseh = height1. determine base and height measurements
the base is always the side length that forms a perpendicular line with the opposite vertex.2. apply the formula
[tex]A=\frac{1}{2}(12m)(8m)\\[/tex]
[tex]A = 48m^2[/tex]
