Answer:
balls
Step-by-step explanation:
The measure of angle Z is twelve less than five times the measure of angle Y. If angle Y and angle Z form a linear
pair, find the measure of angle Z.
Answer:
Z = 148°Step-by-step explanation:
Y - the measure of angle Y
5Y - five times the measure of angle Y
5Y-12 - twelve less than five times the measure of angle Y
Z = (5Y - 12)°
Y and Z being linear pair of angles means they create a straight angle so they add to 180°
Y + Z = 180
Y + 5Y - 12 = 180
6Y = 192
Y = 32
Z = (5•32 - 12)° = (160 - 12)° = 148°
What is the best description of the relation in Item 2?
O A
a function that is one-to-one
0
В.
a function that is many-to-one
o
C.
a function that is one-to-many
O
D.
a relation that is not a function
Help me please
what are the zero of x(2-24x)=0
Answer:
Find the roots of
x (2 − 24x) = 0 by solving for x.
x = 0 , 1/12
5/11x6/7 = 5/14.........................................
Answer:
\(5 \div 11 \times 6 \div 7 = \frac{30}{77} \)
Indicate where each aspect of an index card should be placed when researching. Match the letter that corresponds to one of the items below to the correct location (1,2,3,4,5) on an index card.
A. Page Number
B. Title of card (aspect of subject)
C. Paraphrase
D. Source Number
E. Quotation
When researching, here is where each aspect of an index card should be placed: Match the letter that corresponds to one of the items below to the correct location (1,2,3,4,5) on an index card.A.
Title of card (aspect of subject) - (2) This should be the center or topmost part of the index card. It should be clear and concise enough to reflect what is contained in the index card.B.
Source Number - (4) This is the number allocated to each source in your reference list.C. Page Number - (3) This refers to the page number(s) where the information was sourced from. It is usually written on the top right or left corner of the index card.D.
Quotation - (1) This refers to the exact words that were used in the source materials and is written verbatim. This is usually written in quotation marks.E.
Paraphrase - (5) This refers to rewording a particular section of information in your own words without changing its meaning. The paraphrase should be accurate, concise, and written in a sentence format.
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it's easy but plzz help me..
I will give u brainliest!!
Answer:
You can figure this out by measuring the 200 pages together and then divide by 200.
Step-by-step explanation:
Answer: Measure all the sheets together and divide by 200.
Step-by-step explanation: An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
The value of x=2 and y=1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
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Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.
About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.
For closet
It's a rectangle
L=36inB=36inH=108inVolume
LBH36²(108)(36)³(3)139968in³For rolls:-
Cylindrical body
radius=r=5/2=2.5inHeight=h=3.75inVolume:-
πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³Total rolls:-
Volume of closet /Volume of rolls139968/73.61901.71902 rollsAnswer:
1372
Step-by-step explanation:
Rectangular closet dimensions:
length = 36 inwidth = 36 inheight = 108 inModelling the roll of toilet paper as a cylinder with dimensions:
diameter = 5 inheight = 3.75 inIf we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.
⇒ 36 in ÷ 5 in = 7.2 in
Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.
Now calculate how many toilet rolls we can stack on top of each other.
To do this, divide the height of the closet by the height of the toilet roll:
⇒ 108 in ÷ 3.75 in = 28.8
Therefore, we can stack 28 layers of 49 toilet rolls in the closet.
So the total number of toilet rolls = 28 × 49 = 1372
There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.
PLS HURRY!!!!!!!!! YOU WILL BE THE BRAINLIEST.
Which data collections show bias? Check all that apply.
An English teacher polls the top-ten most avid readers to find their favorite books.
An insurance company polls drivers of sports cars to find their average number of tickets.
A restaurant manager surveys every tenth customer for one week.
An assistant principal surveys each student who is sent for discipline.
A fundraiser organizer draws five names from a hat that contains all entries.
Answer:
The English teacher, restaurant manager, and assistant principal show bias.
Step-by-step explanation:
The data collection for each survey is only gathering data from one small portion of the total population that could be surveyed.
Answer:
A, B, D
Step-by-step explanation
I got it right on the quiz on Edge 2021.
Find the slope of the line through (4,−5) and (−2,1).
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)
m = \(\frac{1+5}{-2-4}\) = \(\frac{6}{-6}\) = - 1
Answer:
-1
Step-by-step explanation:
To find the slope, plug the values of x and y into the slope formula.
y2 - y1 / x2 - x1
1 - (-5) / - 2 - 4
6 / -6
= -1
A toy Jeep is 12 1/2 inches long, while an actual jeep measures 18 3/4feet long What is the value of the ratio of the length of the toy jeep to the length of the actual jeep? What does the ratio mean in this situation?
Answer:
1:18
Step-by-step explanation:
Given that,
Length of a toy jeep = 12 1/2 inches = 25/2 inches
Length of an actual jeep = 18 3/4 feet = 75/4 feet
1 foot = 12 inches
75/4 feet = 225 inches
We need to find the ratio of the length of the toy jeep to the length of the actual jeep.
\(R=\dfrac{\dfrac{25}{2}}{225}\\\\=\dfrac{1}{18}\)
So, the required ratio is 1:18.
PLS SHOW ME HOW U GET THE ANSWER AND WILL GIVE BRAINLYEST
Answer:
38 degrees
Step-by-step explanation:
all triangles length added up are 180 degrees.
add 52 and 90 to get 142. Subtract to get 38 degrees.
the residual plots from two different sets of bivariate data are graphed below. explain, using evidence from graph a and graph b which graph indicates
According to the evidence from graph a and graph b, graph a indicates that the model for the data was a good fit because it is a random.
Hence, the correct option is B.
Based on graph a, the residual plot shows a random scattering of points around the horizontal line at y=0. This indicates that the residuals (the differences between the observed and predicted values) are distributed randomly and do not show any clear pattern. This suggests that the data points are evenly distributed around the regression line, indicating a good fit for a linear regression model.
On the other hand, graph b shows a residual plot with a clear pattern or trend. The residuals are not randomly scattered, but instead show a curved pattern or a fan-like shape. This indicates that the model used to fit the data may not be appropriate, as it is not capturing the underlying relationship between the variables accurately.
Hence, the correct option is B.
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-- The given question is incomplete, the complete question is
"The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph a and graph b which graph indicates that the model for the data was a good fit and what is the reason?
A. Graph A because it is symmetrical
B. Graph A because it is random
C. Graph B because there is a pattern
D. Graph B because it is symmetrical" --
I need this answer asap can someone help?
The volume of the solid is 4,503.22 in³.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes
The volume of a solid with a hollow cylinder can be calculated by subtracting the volume of the inner cylinder from the volume of the outer cylinder.
Assuming the dimensions in the figure are in inches, the outer cylinder has a height of 17 inches and a radius of 9 inches, so its volume is:
\(V_{outer} = \pi * r^2 * h\)
= π × 9² × 17 ≈ 4,842.51 in³
The inner cylinder has a height of 12 inches and a radius of 3 inches, so its volume is:
\(V_{inner} = \pi * r^2 * h\) = π × 3² × 12 ≈ 339.29 in³
To find the volume of the solid, we need to subtract the volume of the inner cylinder from the volume of the outer cylinder:
\(V_{solid }= V_{outer} - V_{inner}\)
≈ 4,842.51 - 339.29 ≈ 4,503.22 in³
Hence, the volume of the solid is 4,503.22 in³.
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The resistance y (in ohms) of 1000 feet of solid copper wire at 68 degrees Fahrenheit can be approximated by the modely=10, 770/x²-0.37 , 5<=x<=100where x is the diameter of the wire in mils (0.001 inches).(a) Complete the table.x5102030405060708090100y(b) Use the table of values in part (a) to sketch a graph of the model. Then use the graph to estimate the resistance when x=85.5�=85.5.(c) Use the model to confirm algebraically the estimate you found in part (b).
The graph of the model is illustrated below and the resistance when x = 85 is 1.12
The resistance of a conductor (such as a wire) is a measure of the opposition it presents to the flow of electric current. The resistance of a wire is dependent on various factors such as its length, cross-sectional area, and material. In this case, we are looking at the resistance of 1000 feet of solid copper wire, where the diameter of the wire is given in mils (0.001 inches).
The resistance of the wire can be approximated using the mathematical model:
=> y = 10,770/x² - 0.375,
where x is the diameter of the wire in mils and y is the resistance in ohms. The model is valid for values of x ranging from 5 to 100.
To complete the table, you need to plug in different values of x into the model and solve for y. For example, when x = 10,
=> y = 10,770/(10²) - 0.375 = 106.975 ohms.
The graph of the model can then be plotted by plotting the points (x,y) from the table and connecting them with a smooth curve. The graph can be used to estimate the resistance of the wire when x = 85.5 mils by finding the y-coordinate of the corresponding point on the graph.
Finally, you can use the model to algebraically confirm the estimate you found from the graph by plugging in the value x = 85.5 into the model and solving for y then we get the value as 1.12. This should give you the same answer as you found from the graph.
In conclusion, the resistance of a wire can be estimated using the mathematical model and can be used to make predictions about the resistance for different wire diameters.
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Solve the real-world situation by using the substitution method. The number of DVDs sold at a store in a month was 935 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 517 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months. The system of equations lbrace d = 935 − 12t d = 517 + 26t can be used to represent this situation. If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs sold? How many of each is sold in that month? There will be ______ DVDs and Blu-Ray discs sold per month in ______ months.
Answer:
t = 11 months
d = 803
Step-by-step explanation:
d = 935 − 12t
d = 517 + 26t
how many months will the number of DVDs sold equal the number of Blu-ray discs sold
Equate both equations to solve for the number of months
935 − 12t = 517 + 26t
935 - 517 = 26t + 12t
418 = 38t
t = 418 / 38
t = 11 months
How many of each is sold in that month?
d = 935 − 12t
= 935 - 12(11)
= 935 - 132
= 803
d = 517 + 26t
= 517 + 26(11)
= 517 + 286
d = 803
There will be 803 DVDs and Blu-Ray discs sold per month in 803 months.
Triangle ABC is shown on the grid below. Which value best represents the length of AB
Answer:
Lenght us 6
Step-by-step explanation:
3/4g= -12
don't understand
Answer:
g = -16
Step-by-step explanation:
This is a "one-step" linear equation. To solve it, we need to have the coefficient of g be 1, not 3/4.
Since we know how to multiply fractions, we know that ...
(3/4)(4/3) = (3·4)/(4·3) = 12/12 = 1
That is, we can multiply both sides of the equation by 4/3 and that will give us a coefficient of 1 for g.
(4/3)(3/4)g = (4/3)(-12)
g = (4·(-12))/3 = -48/3 = -16
The solution is g = -16.
_____
The number 4/3 is the reciprocal of 3/4. It is found by swapping the numerator and denominator.
The trapezoid below has an area of 1,575 cm2.
pg616510
Which equation could you solve to find the height of the trapezoid?
A
850.5h = 1,575
B
1,701h = 1,575
C
45h = 1,575
D
90h = 1,575
The equation to solve the height of the trapezoid is 45h = 1,575
Given data ,
Let the area of the trapezoid be A
Now , the value of A = 1,575 cm²
And , the Top(base2) = 63cm and Bottom(base1) = 27 cm
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
On simplifying , we get
1,575 = (63 + 27) / 2 x h
1575 = 45h
Hence , the equation is 1575 = 45h
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The complete question is attached below :
The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?
A 850.5h = 1,575
B 1,701h = 1,575
C 90h = 1,575
D 45h = 1,575
Top(base2) = 63 cm
Bottom(base1) = 27 cm
Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
In Problems 37-40 use the concept that y = c, -x < x < [infinity], is a constant function if and only if y' = 0 to determine whether the given differential equation possesses constant solutions.
37. 3xy' +5y = 10
38. y' y²+2y-3
37. The given differential equation possesses constant solutions.
38. The given differential equation does not possess constant solutions.
37. In order to determine whether the given differential equation possesses constant solutions, we need to check if the derivative of the dependent variable (y) with respect to the independent variable (x) is equal to zero. In this case, the given equation is 3xy' + 5y = 10.
Taking the derivative of y with respect to x, we get y' = (10 - 5y)/(3x). Since y' is dependent on both x and y, it is not equal to zero for all values of x and y. Therefore, the given differential equation does not possess constant solutions.
38. Similarly, for the differential equation y' * y²+ 2y - 3 = 0, taking the derivative of y with respect to x, we get y' = (3 - 2y)/(y²). Again, y' is not equal to zero for all values of x and y. Therefore, the given differential equation does not possess constant solutions.
In both cases, the derivative of y with respect to x is not identically zero, indicating that the differential equations do not have constant solutions.
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A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and
then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four
steps
Complete this table showing the number of shaded triangles in each step and the area of each triangle.
Area of Each Shaded
Triangle in Squares inches
Step Number Number of Shaded Triangles
0
1
256
1
3
2
3
For the Sierpinski triangle, the complete table is attached.
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, refers to a fractal attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. The Sierpiński triangle represents a geometric sequence.
A geometric sequence or geometric progression refers to a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. In the given situation, the common ratio is ¼ as area of each divided triangle is determined by dividing the area of the previous triangle by 4. The nth term is given by ar^(n-1).
Hence, initially there is one shaded triangle with area = 256 square inch. In the second triangle, there are four triangles with three shaded figures, each with area = 256(1/4)^(2-1) = 64 square inch. In the third triangle, each triangle has area =256(1/4)^(3-1) = 16 square inch and so on.
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A building with a height of 6 m casts a shadow that is 8 m long while a taller building casts a 24 m long shadow. What is the height of the taller building?
Answer:
I am pretty sure it is 22m
Step-by-step explanation:
minus 2
How many 4-digit positive integers exist that satisfy the following conditions:
(A) Each of the first two digits must be 1, 4, or 5, and
(B) the last two digits cannot be the same digit, and
(C) each of the last two digits must be 5, 7, or 8?
There are 7290 4-digit positive integers that satisfy the given conditions.
We have,
To determine the number of 4-digit positive integers that satisfy the given conditions, we need to count the possibilities for each condition and then find their intersection.
Condition (A):
Each of the first two digits must be 1, 4, or 5.
Since there are 3 choices for each of the first two digits, there are
3 x 3 = 9 possibilities for condition (A).
Condition (B):
The last two digits cannot be the same digit.
There are 10 choices for the first digit, and for each of these choices, there are 9 choices for the second digit (excluding the chosen digit). Therefore, there are 10 x 9 = 90 possibilities for condition (B).
Condition (C): Each of the last two digits must be 5, 7, or 8.
There are 3 choices for each of the last two digits, resulting in 3 x 3 = 9 possibilities for condition (C).
To find the total number of 4-digit positive integers satisfying all three conditions, we multiply the possibilities for each condition together:
9 x 90 x 9 = 7290
Therefore,
There are 7290 4-digit positive integers that satisfy the given conditions.
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You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 1 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
5/12Step-by-step explanation:
Number cube:
Numbers greater than 1 → 5 options out of 6Coin:
Heads → 1 out of 2Required probability:
P(>1 & H) = 5/6*1/2 = 5/12Answer: Probability of rolling a number more than one: 5/6
Probability of heads: 1/2
Probability of both: 1/2 + 5/6 = 4/3
Step-by-step explanation:
Choose ,begin emphasis,all,end emphasis, the examples that require finding the area. Answer options with 5 options A. the number of square tiles needed to cover a shower wall B. the distance from one side of a room to another C. the distance around the outside of a fence D. the amount of space a floor rug takes up E. the amount of water a bucket contains
The examples which represents the concept of area are Option A and option D.
The examples that require finding the area are,
The number of square tiles needed to cover a shower wall.
To determine the number of tiles needed, we need to calculate the area of the shower wall.
The distance from one side of a room to another represents the length.
The distance around the outside of a fence.
This is known as the perimeter, which requires adding up the lengths of all sides of the fence.
The amount of space a floor rug takes up.
The area of the floor rug represents the space it occupies.
The amount of water a bucket contains.
This refers to the volume of water, which is typically measured in cubic units.
Therefore, the examples that involve finding the area are A, and D.
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please graph y≤ 2x-3
Okay okay okay now this
Answer:
Both sides and they don't even need that kind in. so the fact it does the job and is going out.
Step-by-step explanation:
the problem with it isn't an excuse if it isn't an
Consider the quadratic pattern -7;0;9;20 4.1 show that the general term of the quadratic number pattern is given by tn=n^2+4n-12
To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.
Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.
First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11
We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.
To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2
The second differences are constant, which suggests a quadratic pattern.
Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.
Using the given terms, we can form three equations:
1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)
Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9
Solving this system of equations, we find a = 1, b = 4, and c = -12.
Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).
The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).
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While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?
Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).
The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:
1/3(x)+1/4(x+1)=9.
Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...
1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).
Now the equation is 4/12(x)+3/12(x+1)=9
Multiply both sides by 12 so the denominators are gone:
[12•]4/12x+3/12(x+1)=9•12
4x+3(x+1)=108
Using distribution, it's now 4x+3x+3=108. Continuing on with the math...
7x+3=108
7x=105
x=15
We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?
5+4=9 and 9=9 so YES! The numbers are 15 and 16