Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.
Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.
By keeping the above instructions in mind, conclusion can be made that :
Functions : (i), (ii), (iii), (iv) and (vi)
Non function : (v) and (vii)
Related Questions
Which ordered pair is the solution to the equation 2x + 3y = x + 5y
a.) (1, 3)
b.) (4,2)
Answers
Answer:
B
Step-by-step explanation:
We start by trying out option A
2(1) + 3(3) = 9
1 + 5(3) = 15
9 and 15 are not equal to one another.
This means it has to be the other option, B.
if the sum of two consecutive even numbers is 42 find the number
Answers
Step 2: Second number is x+2
Step 3: Make an equation
Step 4: x+x+2=42
2x+2=42
2x=40
X=20
Step 5: Substitute x as 20 in step 1 and step 2
Answer is 20+22= 42
Answer:
20 and 22
Step-by-step explanation:
if the sum of two consecutive even numbers is 42 find the number
42 - 2 = 40 remove the difference (2)
40 : 2 = 20 find the smallest number
20 + 2 = 22 find the largest number
------------------------------------
(20 + 22 = 42)
a circle with radius is inscribed in a square and circumscribed about another square as shown. which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?
Answers
The fraction that is the ratio of the shaded area of the circle to the area between the two squares is (π−2)/2.
A fraction is a mathematical expression that represents a part or a proportion of a whole.
Let us assume that the radius of the circle is 'r' units. Therefore, the diameter of the circle is 2r units. The diagonal of the inner square is equal to the diameter of the circle, which is 2r units. Hence, the side of the inner square is r√2 units.
Now, let's consider the area of the circle. The formula for the area of a circle is
=> A=πr².
Therefore, the area of the circle is πr².
The area between the two squares is the difference between the area of the outer square and the area of the inner square. The area of the outer square is
=> (2r)²=4r²,
and the area of the inner square is
=> (r√2)²=2r².
Hence, the area between the two squares is
=> 4r²−2r²=2r².
The shaded area of the circle is the area inside the circle but outside the inner square. We can find this area by subtracting the area of the inner square from the area of the circle. Therefore, the shaded area of the circle is
=> πr²−2r²=(π−2)r².
Now, let's find the ratio of the shaded area of the circle to the area between the two squares. We can express this ratio as a fraction. Thus,
ratio = (π - 2)r² / 2r
We can simplify this fraction by canceling out the common factor r^2 in both the numerator and denominator. Thus,
ratio = (π - 2) / 2
This fraction is closest to the ratio of the shaded area of the circle to the area between the two squares.
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question 1
determine the measure of FA
Answers
Answer:
arc FA = 150°
Step-by-step explanation:
the central angle of a circle is equal to the measure of the arc that subtends it.
given BF is the diameter of the circle , then
∠ FCA + ∠ ACB = 180°
∠ FCA + 30° = 180° ( subtract 30° from both sides )
∠ FCA = 150°
then
arc FA = ∠ FCA = 150°
A welder has two pieces of half-inch pipe, one of length 23 ft and another of length 3 ft. What is the total length of the two welded together?
Answers
The total length of the two welded together is 26ft.
What is addition and subtraction?The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).
Given that the length of the two pieces of the pipe is 23ft and 3ft.
The total length of the two welded together is:
23 + 3 = 26ft
Hence, the total length of the two welded together is 26ft.
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A class has 45 students of the students are wearing blue shirts, of
them are wearing red shirts, and the rest are wearing yellow shirts.
What is the probability of selecting a student who is wearing a yellow
shirt?
Answers
The probability of selecting a student who is wearing a yellow shirt is 36 %
How to find the probability ?The total number of students is 45 students and out of these, 3 / 7 are wearing blue shirts while 2 / 9 are wearing red shirts.
This means that the number of students wearing yellow is:
= 45 - ( 45 x 3 / 7 ) - ( 45 x 2 / 9 )
= 45 - 19 - 10
= 16 students
The probability of selecting a student who is wearing yellow is :
= 16 / 45
= 36 %
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The full question is:
A class has 45 students of the students are wearing 3/7 blue shirts, of
them are 2/9 wearing red shirts, and the rest are wearing yellow shirts.
What is the probability of selecting a student who is wearing a yellow
shirt?
a plane contains 40 lines, no 2 of which are parallel. suppose that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, 6 points where exactly 6 lines intersect, and no points where more than 6 lines intersect. find the number of points where exactly 2 lines intersect.
Answers
With a plane containing 40 lines, no 2 of which are parallel , here are 43 points where exactly 2 lines intersect.
In a plane that contains 40 lines, we are asked to find the number of points where exactly 2 lines intersect. Let's call this number "x".
Since every line intersects exactly 2 points, the total number of line intersections is equal to 2x. In other words, if we add up the number of intersections at each point, the total number should equal 2x.
The problem states that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, and 6 points where exactly 6 lines intersect. At the same time, it states that there are no points where more than 6 lines intersect.
To calculate the total number of intersections, we need to multiply the number of lines that intersect at each point by the number of points, and then add them up. In mathematical terms:
2x = 3 * 3 + 4 * 4 + 5 * 5 + 6 * 6
Expanding the right side of the equation:
2x = 9 + 16 + 25 + 36
= 86
Dividing both sides of the equation by 2:
x = 43
So there are 43 points where exactly 2 lines intersect.
This is because at each point where exactly 2 lines intersect, the number of intersections is equal to the number of lines. In total, these 43 points account for 86 line intersections, which is half of the total number of line intersections in the plane.
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4) Write 5√5 + √20 in the form a√5
5) Write √5 x √8 in the form b√10
6) Write √600-√24 in the form a√6
Answers
Answer:
4) 7 SqrRt( 5 )
5) 2 SqrRt( 10 )
6) 8 SqrRt( 6 )
Some girl needs to earn R500 in interest so she will have enough to buy a used bicycle. She puts R2000 into an account that earns 5% per year simple interest. How long will she need to leave her money in the account to have enough money for the bicycle?
Answers
The money needs to be in the account for 5 years on simple interest at the rate 5% to earn R500.
What is simple interest?The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.
Let us suppose the time period as x.
The simple interest is given as:
SI = PRT/100
Where,
SI = Simple Interest = 500
P = Principal = 2000
R = Rate = 5%
T = x
Substituting the values:
500 = (2000)(5)(x) / 100
500 = 100x
x = 5 years
Hence, the money needs to be in the account for 5 years on simple interest at the rate 5% to earn R500.
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The lengths of the three sides of a triangle (in inches) are consecutive integers. If the
perimeter is 27 inches, find the value of the shortest of the three side lengths.
Answers
The value of the shortest of the three side lengths is 3 inches.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The lengths of the three sides of a triangle (in inches) are consecutive integers.
The three sides are x, x+1 and x+2 which are consecutive.
We know that perimeter of a triangle is the sum of the three sides of a triangle.
Add the three Consecutive sides to find the perimeter.
Perimeter of triangle=x+x+1+x+2
The perimeter of triangle is 27 inhces.
27=3x+3
Substitute 3 from both sides
24=3x
Divide by 3 on both sides
8=x
Hence, the value of the shortest of the three side lengths is 3 inches.
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monique is 2 years older than vanessa. the sum of their ages is 32.let v represent vanessas age.which of the following equations can be used to find vanessas age?
a.v+2=32
b.2v -2=32
c.v+(v-2)=32
d.v+(v+2)=32
Answers
The correct option is a. The equation used to find Vanessa's age is v + 2 = 32.
What is an equation?A mathematical statement known as an equation utilises the equals sign to demonstrate the equality of two expressions. It may be used to address a variety of issues and can contain both numbers and variables. Algebraic operations including addition, subtraction, multiplication, division, and exponentiation are frequently used in equations.
In the given question, Vanessa's age may be calculated using the equation a. v+2=32. This equation shows that Vanessa's age plus 2 equals 32, implying that Vanessa's age is 30. We may solve this equation by removing 2 from both sides, yielding v=30. This equation is valid for determining Vanessa's age because it specifies that Vanessa's age plus Monique's age equals 32.
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please help will give brainliest
Answers
Answer:
Step-by-step explanation:
.....-_-.....-__-....-___-_--____--_--_____--_--______________--_________________-u streched ma face dude.
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
Answers
The number of crickets Great fed last week to Lizzy is 56.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.
Last week, Greta fed Draco 77 crickets.
Let the number of crickets Great fed last week be x.
Now, 11:8::77:x
11x=77×8
x=7×8
x=56
Therefore, the number of crickets Great fed last week to Lizzy is 56.
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"Your question is incomplete, probably the complete question/missing part is:"
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets. How many crickets did Greta feed Lizzy?
Bridgeton University claims to accept 42% of applicants. In a random sample
of 1,000 Bridgeton University applicants, 392 were accepted. Calculate the
95% confidence interval and evaluate whether Bridgeton's claim seems
accurate.
Answers
We can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.
What is confidence interval?
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain degree of confidence. It is an interval estimate computed from a sample of data and is used to describe the uncertainty or variability associated with a sample estimate of a population parameter.
To calculate the confidence interval, we need to first find the point estimate of the proportion of applicants accepted by Bridgeton University:
Point estimate = number of applicants accepted / total number of applicants = 392 / 1000 = 0.392
The standard error of the proportion can be calculated as:
SE = sqrt(p*(1-p)/n), where p is the point estimate and n is the sample size.
SE = sqrt(0.392*(1-0.392)/1000) = 0.0194
To find the 95% confidence interval, we can use the formula:
CI = point estimate +/- z*SE, where z is the z-score for a 95% confidence level (1.96).
CI = 0.392 +/- 1.96*0.0194
CI = (0.354, 0.430)
Therefore, we can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.
To evaluate whether Bridgeton's claim seems accurate, we can compare the confidence interval with the claimed acceptance rate of 42%. We can see that the claimed acceptance rate of 42% does not fall within the confidence interval, which suggests that the claim may not be accurate. However, it is important to note that this sample may not be representative of the entire population of applicants to Bridgeton University, and further investigation may be needed to confirm the accuracy of the claim.
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What statement is true about the distributions shown in the histograms below?
Histogram 1 is positively skewed, and Histogram 2 is symmetric.
Histogram 1 is negatively skewed, and Histogram 2 is symmetric
Histogram 1 is negatively skewed, and Histogram 2 is positively skewed.
Histogram 1 is positively skewed, and Histogram 2 is negatively skewed.
Answers
Histogram 1 is positively skewed, and Histogram 2 is symmetric, which is a true statement about the distributions represented by the histograms.
The Histogram: What Is It?An illustrated display of data points arranged into user-specified ranges is called a histogram. By taking several data points and organising them into logical ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an easily understood graphic.
The purpose of a histogram?Among graphing tools, the histogram is widely used. It is utilised to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
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Answer:
C) Histogram 1 is negatively skewed, and Histogram 2 is positively skewed.
Step-by-step explanation:
When most of the data on a histogram is gathered to the right, then the distribution is negatively skewed. If most of the data is gathered to the left, then the distribution is positively skewed.
Assuming you are going off of these Histograms:
C is the correct answer.
Find X then find angle BD
Answers
Applying the Two Tangents Exterior Angle Theorem, the value of x is: 12.
m(BD) = 120°
What is the Two Tangents Exterior Angle Theorem?If you draw two tangents from a point outside a circle, the size of the angle they form is equal to half of the difference between the sizes of the two arcs they intercept inside the circle, based on the Two Tangents Exterior Angle Theorem.
Therefore, we have:
6x - 12 = 1/2[(-12 + 21x) - (12x - 24)] (according to the Two Tangents Exterior Angle Theorem)
Solve for x:
6x - 12 = 1/2[(-12 + 21x - 12x + 24)
2(6x - 12) = -12 + 21x - 12x + 24
12x - 24 = 9x + 12
12x - 9x = 24 + 12
3x = 36
x = 36/3
x = 12
m(BD) = 12x - 24 = 12(12) - 24
m(BD) = 120°
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Find the dot product of the position vectors whose terminal points are (25, 16) and (8,5). 120 65 280 903
Answers
Answer:
280
Step-by-step explanation:
Give me a moment, I am still gathering my explanation
Solve for x.
X
A
=
2
C
1
B
1
E
X
D
Answers
Step-by-step explanation:
ABC and ADE are similar triangles.
that means they have the same angles, and there is one scaling factor for all sides from one triangle to the other.
so, we see that AB = 2, AD = 2+1 = 3
the scaling factor f from AB to AD is then
AB × f = AD
2 × f = 3
f = 3/2
the same scaling factor now applies between BC and DE (= x).
BC × f = x
1 × 3/2 = x
x = 3/2 = 1.5
Quanto é
78+34789+1+234+5678
Answers
the answer is 40780
I would show you my calculations but I don't know how to add pictures to your answer .sorry
I hope that helped
For the following right triangle, find the side length A15 B20
Answers
Answer:
Step-by-step explanation:
you first take A15 and square it. Then you take B20 and square it also. Then you add them together and that is your answer. the hypotenuse of a triangle.
Answer: Side length C will be 25
Step-by-step explanation:
C^2 = A^2+B^2
15^2+20^2=C^2
225+400=625
Take square root of 625 to get side C
The radius of the circle measures 3M what is the circumference of the circle use 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
18.84
Step-by-step explanation:
Find the perimeter of the rectangle in the given diagram.
Recall: To find the perimeter of a rectangle, add all of its sides.
15
Perimeter =
9
A
Answers
The perimeter of the rectangle in the given diagram is: D. 42 units.
How to determine the perimeter of this rectangle?In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b = √144
b = 12 units.
Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.P = 2(9 + 12)
P = 42 units.
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6 At Bay Beach Tennis Club, there are 10 tennis courts. This
morning, all of the tennis courts are being used, some for
doubles matches and some for singles matches. Each court with
a doubles match has 4 players, and each court with a singles
match has 2 players. There are 28 players in all. On how many
courts are people playing doubles? On how many courts are
people playing singles?
Education.com
Courts With Singles Matches
Y
204
16
16
14
12
10
8
6
2
0
Cost per Adult Ticket (6)
16 18
2 4 6 8 10 12 14
Courts With Doubles Matches
20
Find worksheets, games, lessons & more at education.com/resourc
2007-2023 Education
Answers
Answer:
To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.
Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.
Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.
So, 28 - 4x = 14, and solving for x, we get x = 7.
Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.
2) g(x) = 4x + 5
f(x)=-3x²-3x
Find g(x) + f(x)
Answers
Answer:
[tex]\huge\boxed{\sf -3x\² + x + 5}[/tex]
Step-by-step explanation:
Given functions:g(x) = 4x + 5
f(x) = -3x² - 3x
Add both functionsg(x) + f(x):= 4x + 5 + (-3x² - 3x)
= 4x + 5 - 3x² - 3x
Combine like terms= 4x - 3x + 5 - 3x²
= x + 5 - 3x²
= -3x² + x + 5[tex]\rule[225]{225}{2}[/tex]
1/4 of the sum of 18 and 6. What does that mean? It it like converting 18 plus 6 to a fraction?
Answers
Answer:
See below
Step-by-step explanation:
Sum of 18 and 6 = 24
1/4 of the sum of 18 and 6 is asking you what is the result of dividing 24 by 4
In a way you can think of it as a fractional question but the answer is a whole number
[tex]\dfrac{1}{4} \cdot (18 + 6) = \dfrac{1}{4} \cdot 24 = \dfrac{24}{4} = 6\\[/tex]
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
Answers
As a result, no particular postulate can be used to demonstrate their congruence due to a lack of adequate data. So "None" is the correct response.
What in mathematics is a similarity?If two figures share the same form, congruent corresponding angles (which means the angles in the same locations of each shape are the same), and identical scale factors, they are said to be "similar figures." Equal scale factors signify a matched ratio between the lengths of their respective sides.
Two triangles can be seen in the illustration, and their corresponding angles are both equal.As a result, they match the AAA similarity requirement. However, no more details are provided to demonstrate their consistency.Although comparable triangles may not be congruent, congruent triangles are known to be similar.To know more about similarity visit:
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Answer: None
Step-by-step explanation: I Just did it
a school superintendent must make a decision whether or not to cancel school because of a threatening snow storm. what would the results be of type i and type ii errors for the null hypothesis: the weather will remain dry?
Answers
Type I error would be weather remains dry, but school is needlessly canceled. Type II error would be don't cancel school, but the snow storm hits. The correct option is B.
In hypothesis testing, the null hypothesis is the default assumption that is being tested. In this case, the null hypothesis is that the weather will remain dry. The school superintendent must decide whether to reject or accept this null hypothesis based on the evidence available.
There are two types of errors that can occur in hypothesis testing: Type I and Type II errors.
Type I error occurs when the null hypothesis is rejected, even though it is actually true. In other words, the school superintendent decides to cancel school due to a snowstorm, but the weather remains dry. This can result in unnecessary school closures, which can disrupt students, teachers, and parents' schedules.
Type II error occurs when the null hypothesis is accepted, even though it is actually false. In other words, the school superintendent decides not to cancel school because of the assumption that the weather will remain dry, but a snowstorm hits. This can put students, teachers, and parents in danger as they try to commute to school in hazardous conditions.
The consequences of a Type I error and a Type II error can be significant in this scenario. The school superintendent must weigh the potential risks of making each type of error to make the best decision for the safety and well-being of the school community.
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Complete question is:
A school superintendent must make a decision whether or not to cancel school because of a threatening snow storm. What would the results be of Type I and Type II errors for the null hypothesis: The weather will remain dry?
A. Type I error: don't cancel school, but the snow storm hits.
Type II error: weather remains dry, but school is needlessly canceled.
B. Type I error: weather remains dry, but school is needlessly canceled.
Type II error: don't cancel school, but the snow storm hits.
C. Type I error: cancel school, and the storm hits.
Type II error: don't cancel school, and weather remains dry.
D. Type I error: don't cancel school, and snow storm hits.
Type II error: don't cancel school, and weather remains dry.
E. Type I error: don't cancel school, but the snow storm hits.
Type II error: cancel school, and the storm hits.
Lamonte is going to invest in an account paying an interest rate of 4% compounded
continuously. How much would Lamonte need to invest, to the nearest cent, for the
value of the account to reach $12,300 in 8 years?
Answers
The amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.
Given that the interest is compounded continuously.
For the given situation the formula of compound interest is:
[tex]A = Pe^{rt}[/tex]
where, A is the amount = $12300
P is the principal amount
r is the rate = 4% = 0.04
t is the time = 8 years
Substituting the values we have:
[tex]12300 = Pe^{(0.04)(8)}\\\\P = \frac{12300}{e^{(0.04)(8)}} \\\\P =8932.461[/tex]
Hence, the amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.
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Solve this system of linear equations:
4x - 2y = 8
y=-2
Step 1: Plot the x-intercept of the first equation.
Equations by Graphing
d
-6-4-2
6
4
2
-2
4
-6
Y
2
4 6
x+
x
y
Answers
A solution to this system of linear equations is (1, -2).
How to graph the solution to this system of equations?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
4x - 2y = 8 ......equation 1.
y = -2 ......equation 2.
Next, we would use an online graphing calculator to plot the given function as shown in the graph attached below.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant IV and it is given by the ordered pair (1, -2).
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Josh’s backpack can hold at most 35 pounds. His science textbook weighs 8 pounds, his math textbook weighs 4 pounds, and his binder weighs 2 pounds. He has three more textbooks, how much can each one weigh?
Answers
Answer:
7
Step-by-step explanation:
35-8-4-2=21
21/3=7
Answer:
7 pounds
Step-by-step explanation:
8+4+2=14
35-14=21
21/3=7
