Answer:
No
Step-by-step explanation:
Each x can have only ONE y as its partner. In this relation, -1 has TWO different partners: in one point (-1,-4) the y is -4 and in another point (-1,2) the y is 2. Not a function.
6. In a standard deck of cards:
Event A: Card is red
Event B: Card is a heart
Events A and B are ____
A)None of these
B)Dependent
C)Independet
D)Both
Events A and B are dependent (option B).
What are dependent events?Dependent events are events that can occur together. If event A occurs then event B would occur. In a standard deck of cards, cards that are hearts are red in colour. If a heart card is picked, then it would be red in colour.
Independents events are events whose occurrence do not depend on each other. They are random events.
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23. Which expression is NOT equivalent
to the expression 38 – 14?
A 2(19-7)
B 24
C (19-7)2
D 2(36-12)
Answer: [D] 2(36-12)
Step-by-step explanation:
First, we will simplify the given expression.
38 – 14 = 24
Now, we will see if the other expressions are equivalent or not.
[A] 2(19-7) = 24
[B] 24 = 24
[C] (19-7)2 = 24
[D] 2(36-12) = 48
The expression is NOT equivalent to the expression 38 – 14 is;
[D] 2(36-12)
Hi :)
Let's evaluate all these expressions
———————[tex]\boldsymbol{\boxed{38-14=24}}}[/tex]
So Now the question boils down to --
What expression is NOT equivalent to [tex]\boldsymbol{24?}[/tex]
Option (A).[tex]\boldsymbol{2(19-7)}[/tex]
[tex]\boldsymbol{2(12)}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.
Option (B)Well 24 is always equal to 24!
Option (C)[tex]\boldsymbol{(19-7)2}[/tex]
[tex]\boldsymbol{(12)2}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (D)[tex]\boldsymbol{2(36-12)}[/tex]
[tex]\boldsymbol{2(24)}[/tex]
[tex]\boldsymbol{48}[/tex]
[tex]\tt{Learn\;More;Work\;Harder}[/tex]
:)
In a recent study, your town's chamber of commerce found that 73% of town residents believed that local businesses overcharged for their products. the source of this information was a telephone survey of 1,000 town residents. find a 95% confidence interval for the average percentage of everyone in your town who believes that local businesses overcharge.
The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)
What is meant by confidence interval?The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.
According to the given information:Sample size n = 1000
73% of town residents believed that local businesses overcharged for their products over 1000 resident.
= (1000/100) x 73
= 730
Sample proportion p = 730/1000
= .73
q = 1-p = 0.23
Std error of proportion = √(pq/n)
= √((.73*0.27)/1000)
= 0.0140
95% Z critical value = 1.96
Margin of error = 1.96*0.0140
= 0.0274
Confidence interval = sample proportion ±margin of error
(0.7026, 0.7574)
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Find the horizontal asymptote of the function
A. none
B. x = 0
c.y=0
D.y = 1
Reset Selection
(x-1)(x-3)²(x+1)²
(x-2)(x+2)(x-1)(x+3)*
Horizontal asymptote y = 1.
What is meant by horizontal asymptote?A slant asymptote has a specific instance known as a horizontal asymptote. A "recipe" for locating a rational function's horizontal asymptote is as follows: Let deg D(x) and deg N(x) represent the degree of the denominator and the numerator, respectively. No horizontal asymptote exists.1) If the degree of the numerator is smaller than the degree of the denominator, the horizontal asymptote is y = 0. 2) The horizontal asymptote is y = c, where c is the ratio of the leading terms or their coefficients if the degree of the numerator and denominator are equal.The denominator of the function, n(x), can be used to find vertical asymptotes by solving the equation n(x) = 0 (note that this only works if the numerator, t(x), is not zero for the same x value). Find the function's asymptotes. The graph exhibits a vertical asymptote at x = 1.Find the horizontal asymptote of the function:
Horizontal asymptotes are the lines perpendicular to the y-axis and meet the curve at infinity.
Horizontal asymptote y = 1.
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Which of the graphs below represents the equation 4x+y=7
25 Points + BRANIEST. PLEASE HELP
Answer:
sorry I don't know please forgive because I can't copy the question
find the value of p and of q for which x-3 is a common factor of the expressions [tex]x^{2} + (p + q)x-q[/tex] and [tex]2x^2 + (p-1)x + (p+2q)[/tex]
WILL GIVE BRAINLIEST PLS ANSWER
Step-by-step explanation:
Use the Factor Theorem,
" if x-a is a factor of f(x), then f(a) =0,
So here, since x-3 is a factor then f(3)=0,
So first step, plug in 3 for x for the serperate equations.
[tex] {3}^{2} + ( p + q)3 - q = 0[/tex]
[tex]2(3) {}^{2} + (p - 1)3 + (p + 2q) = 0[/tex]
Simplify both equations,
[tex]9 + 3p + 2q = 0[/tex]
[tex]15 + 4 p + 2q = 0[/tex]
Isolate the constants,
[tex]3p + 2q = - 9[/tex]
[tex]4p + 2q = - 15[/tex]
We have a system of equations so let eliminate a variable, by subtracting the two equations.
[tex] - p = 6[/tex]
[tex]p = - 6[/tex]
Plug p back in for any one of the equations to find q.
[tex]3( - 6) + 2q = - 9[/tex]
[tex] - 18 + 2q = - 9[/tex]
[tex]2q = 4.5[/tex]
So p is -6
q is 4.5
Which of the following inequalities is graphed on the coordinate plane? A. y>-2x+1 B. y>-2x+1 C. y<-2x+1 D. y<-2x+1
The correct equation that has been shown by the graph is y<-2x+1. Option D
What is inequality?The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.
Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D
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Answer: The correct equation that has been shown by the graph is y<-2x+1. Option D
What is inequality?
The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.
Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D
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Step-by-step explanation:
What is the probability that the battery life for an ipad mini will be at least 11 hours?
Answer:
0.2857
Step-by-step explanation:
We want to determine,
The probability that the battery life is at least 11 hours is 0.2857.
The question is down below.
The correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
SOH CAH TOA identityThe given figure is a right triangle with legs 12.0 and 22.5cm and the hypotenuse 25.5cm
For sinA, <A is the reference angle, hence the opposite side will be 22.5cm
sin A = opp/hyp
sinA = 22.5/25.5
For cos C, the adjacent side will be 22.5cm, hence the measure of cos C is 22.5/25.5
cosC = 22.5/25.5
Similarly, sinC = 12/25.5 = 24/51
<A = 180-(90 +38)
<A =180 - 128
<A = 62 degrees
tan A = opp/adj
tan A = 22.5/12 = 1.875
tan C = 12/22.5
tan C = 0.533
Hence the correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
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If the store has only 12 red balloons and only 8 blue balloons but at least 29 of each other color of balloon, how many combinations of balloons can be chosen?
The number of combinations of balloons that can be chosen is 1716.
Selections and combinations are synonyms. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them.
Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.
Number of red balloons = 12
Number of blue balloons = 8
First, we figure out how to choose from 13 red and 9 blue balloons.
There are 7 balloons left out of the 29 total (i.e. 29 - 13 - 9)
So, n = 7+7-1
n = 13
r = 7
Number of combinations of balloons = [tex]_{13} C_{7}[/tex]
= 13!/(13-7)!7!
= 13!/6!7!
= 1716
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Find the value of sin J rounded to the nearest hundredth, if necessary.
12
13
K
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
What is the measure of the missing angle?The image attached aside shows us a right triangle with two known side lengths (JL, KJ) and a angle measure (m ∠ K). The measure of the missing angle can be found by using the trigonometric function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same positive sign than cosine as the angle is in the first quadrant on Cartesian plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
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BRAINLIEST!
Find the area of the figure below
Answer:
140 in^2
Step-by-step explanation:
Take the outside dimensions of the LARGE rectangle
11 x 17 = 187 in^2
subtract the two corner cutout rectangles
187 - 8x4 - 3 x 5 = 140 in^2
Diagram
The Chens bought their house for $240 000 twenty years ago. They just sold the house
for $520 000. What percent is the new value of the house of the price they paid 20
years ago?
The percent is the new value of the house of the price they paid 20 years ago is 216.67%.
PercentageOld price = $240 000New price = $520 000percent is the new value of the house = New price / Old price
= 520,000 / 240,000 × 100
= 2.16666666666666
= 216.666666666666%
Approximately,
percent is the new value of the house = 216.67%
Therefore, the percent is the new value of the house of the price they paid 20 years ago is 216.67%.
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what phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
positive slope
negative slope
constant slope
increasing function
decreasing function
Answer: negative slope
constant slope
decreasing function
B-C-E
Step-by-step explanation:negative slope
constant slope
decreasing function
Which of the following equations can be used to find the length of EF in the
triangle below?
OA. EF = 24 +12
OB. (EF)2 = 242 +12²
OC. EF = 24-12
D. (EF)2 = 242-12²
D
24
E
12 F
W
The equation which can be used to find the length of EF is option A which is EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].
Given the length of base of right angled triangle is 12 and the hypotenuse be 24.
We are to find the length of EF and tell which equation can be used to find the length of EF.
We know that pythagoras theorem applies in a right angled triangle.
Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.
[tex]H^{2} =B^{2} +P^{2}[/tex]
In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.
[tex](DE)^{2} =(EF)^{2} +(DF)^{2}[/tex]
EF=[tex]\sqrt{DE^{2}-DF^{2} }[/tex]
=[tex]\sqrt{(24)^{2} -(12)^{2} }[/tex]--1
=[tex]\sqrt{576-144}[/tex]
=[tex]\sqrt{432}[/tex]
Hence the equation which can be used to find the length of Ef is option A which is EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].
Question is incomplete as it should include the figure also.
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What are the x-intercept and vertex of this quadratic function? Write each feature as an ordered pair: (a,b). The x-intercept of function g is The vertex of function g is
The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
How to determine the x-intercept?The function is given as:
g(x) = -5(x - 3)^2
Set g(x) to 0, to determine the x-intercept.
-5(x - 3)^2 = 0
Divide through by -5
(x - 3)^2 = 0
Take the square root of both sides
x - 3 = 0
Add 3 to both sides
x = 3
Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)
How to determine the vertex?The function is given as:
g(x) = -5(x - 3)^2
A quadratic function is represented as:
g(x) = a(x - h)^2 + k
Where, the vertex is
Vertex = (h, k)
By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have
(h, k) = (3, 0)
Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
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The following are the distances (in miles) to the nearest airport for 11 families. 9, 11, 11, 16, 16, 24, 28, 30, 34, 42, 45 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
Answer:
11, 11, 24, 34, 45 and 23===========================
Given data9, 11, 11, 16, 16, 24, 28, 30, 34, 42, 45Five-number summaryMinimum:
The smallest number of data ⇒ 11Maximum:
The largest number of data ⇒ 45Median:
The middle number of the data if data consists of odd number of elements ⇒ 24Lower quartile:
The median of the lower half of data, 9, 11, 11, 16, 16 ⇒ 11Upper quartile:
The median of the upper half of data, 28, 30, 34, 42, 45 ⇒ 34Interquartile rangeThe difference of upper and lower quartiles, 34 - 11 = 23A rectangle is 16 cm. in length. Its width is 50% of its length. what is its perimeter?
Answer: 48 cm
Step-by-step explanation:
A perimeter(P) of a rectangle is equal to 2(L + W), or 2L + 2W, so we write the equation as:
1st way:
W = 50%(16) = 0.5 x 16 = 8
P = 2(L + W)
P = 2(16 + 8)
P = 2(24)
P = 48 cm
2nd way:
P = 2L + 2W
P = 2(16) + 2[50%(16)]
P = 2(16) + 2[0.5 X 16]
P = 32 + 2(8)
P = 32 + 16
P = 48 cm
PLEASE HELP ME PLEASE
WHICH EQUATION DOES THE GRAPH REPRESENT
Answer:
Step-by-step explanation:
B is the best answer
Geometry: write formal proofs, ASAP!!!!!
Two lines are said to be parallel if and only if the value of the angle between them is [tex]180^{o}[/tex].
Thus the required proofs for each question are stated below:
6. A bisector is a line that divides a given line or angle into two equal parts.
Thus to prove that: AD ║BC
Given that: AC ⊥ BD, then:
BX ≅ DX (midpoint property of a line)
<ADX ≅ <DBX (alternate angle property)
<DAX ≅ <BCX (alternate angle property)
<AXD ≅ <BXC (vertical opposite angle property)
Also,
ΔAXD ≅ ΔBXC (congruent property of similar triangles)
Therefore, it can be deduced that;
AD ║BC
7. Given: CD ≅ CE
<B ≅ <D
proof: AB ║DE
<ABC ≅EDC
Thus,
CB ≅ CA (congruent property of similar triangle)
<BAC ≅ <EDC (alternate angle property)
ABC ≅ <DEC (alternate angle property)
Also,
CA ≅ CB (congruent side of similar triangles)
ΔABc ≅ ΔCDE (congruent property of similar triangles)
Thus,
AB ║DE (congruent property)
8. Prove: AB ║ DE
Given: <1 ≅ < 3
Then,
<1 ≅ <2 ≅ <3 ≅ [tex]90^{o}[/tex]
So that,
BC ≅ EF
also,
<1 + <2 = [tex]180^{o}[/tex] (supplementary angles)
Therefore it can be inferred that;
AB ║ DE (congruent property of parallel lines intersected by transversals)
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A 105
5) How will you educated, uneducated people in your locality
about the environment problems of your locallly.
I will educated uneducated people on my locality
Get your associates, neighbors, friends, family, or even your local government concerned. It's much more comfortable and more useful to apply environmental attention and create a local project if you cooperate with others in our community.
How to improve the uneducated people in our locality about the environmental problems of our local?Get your associates, neighbors, friends, family, or even your local government concerned. It's much more comfortable and more useful to apply environmental attention and create a local project if you cooperate with others in our community. Encouraging environmental awareness exists a vital aspect of being an environmental guardian.
Facilitate knowledge transfer from workers approaching retirement to workers of all ages. Work with families to support children in school and control illiteracy. Provide young people from deprived backgrounds the norms to study. Improve access to education for Aboriginal people.
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What is the point slope form of a line with the slope -4 that contains the point (2,-8)
Answer:
y + 8 = -4(x - 2)
Step-by-step explanation:
Point-slope form of an equation is a fill-in-the-blank, shortcut way to write an equation of a line. This is the format:
y - Y = m(x - X)
You just fill in the slope for m and fill in the point for the X,Y.
Just leave the first y; it stays a y and the first x in the parenthesis stays as an x. You just have to be careful with your minus and negative signs.
Slope is given as -4 so fill that in for m.
and put (2,-8) in place of the X and Y.
y - Y = m(x - X)
y - -8 = -4(x - 2)
y + 8 = -4(x - 2)
Done! Hope this helps!
The starting lineup for a softball team consists of 10 players, How many different batting orders are possible using the starting lineup
The number of different batting orders are possible using the starting lineup is 3628800
How to determine the number of different batting orders are possible using the starting lineup?The given parameter is
Players, n = 10
The different batting orders are possible using the starting lineup is calculated using the following permutation expression
Ways = nCn
Substitute the known values in the above equation
Ways = 10P10
Apply the permutation formula
Ways = 10!/(10 - 10)!
Evaluate the difference
Ways = 10!/0!
0! = 1
So, we have:
Ways = 10!/1
Evaluate
Ways = 10!
Expand
Ways = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Evaluate the product
Ways = 3628800
Hence, the number of different batting orders are possible using the starting lineup is 3628800
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Rohan was planning a party and needed to provide 35 lunches. the cost for each plate 5$ and each plate was 6$. how many of each could he buy and spend $198 total?
for 5 bucks a plate its 39 for 6 bucks its 33
Step-by-step explanation:
The price of a new car is £27000 In a sale, the price is reduced by 30% Brodie buys the car in the sale. He pays a £8000 deposit and pays the rest over 50 monthly payments. Find the cost of each monthly payment.
Answer:
£218
Step-by-step explanation:
price of the car = £27000
reduce 30% = 30/100 x 27000 = £8100
£27000 - £8100 = £18900
£18900 - £8000 = £10900
installment per month = £10900/50 = £218
how to do questions 28-29?
thanks!
28. 1.45l ÷ 0.32l = 4.53125
so approximately 5 glasses to leave the bottle empty
29. 5.6kg + 2.5kg = 8.1kg
8.1kg ÷ 0.48 = 16.875
he can make 16 complete doughs
there will be 0.875kg of flour left
Henry will need a total of 15 pints of paint. The 3 pints of yellow were multiplied by 3 to get 9 total, so 2 pints of red would be multiplied by 3 to get 6 total.
Which ideas did you include in your response? Check all that apply.
Henry will need 15 pints altogether.
The number of pints of yellow (3) is multiplied by 3 to get 9, so he would multiply 2 by 3 to get 6 pints of red.
Add: 6 + 9 = 15 pints.
Answer:
All answers are correct.
Step-by-step explanation:
Henry needs a total of 15 pints.
3 pints of yellow multiplied by 3 gives 9 pints of yellow, he needs 6 pints of red to get to 15, so he multiplies 2 pints of red by 3 to get 6 pints of red.
You add 9 + 6 to get the total of 15 pints he needs.
Grade 11 Circle Geometry(Tagents)(Find g)
Answer:
g = 4
Step-by-step explanation:
if 2 tangent segments are drawn to a circle from the same external point then they are congruent , that is
RJ = RW and MJ = MB and KB = KW
given MR = 6 , then
MJ = 6 - g = MB
given KM = 5 , then
KB = 5 - MB = 5 - (6 - g) = g - 1 = KW
given KR = 7 , then
RW = 7 - KW = 7 - (g - 1) = 8 - g
Then
RJ = RW , that is
g = 8 - g ( add g to both sides )
2g = 8 ( divide both sides by 2 )
g = 4
Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve
The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.
For given question,
We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.
We need to convert given parametric equations to a rectangular equation and sketch the curve.
Given parametric equations can be written as,
x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.
We know that the trigonometric identity,
sin²t + cos²t = 1
⇒ (x/2)² + (- y/3)² = 1
⇒ [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]
This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.
The rectangular equation is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]
The graph of the rectangular equation [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] is as shown below.
Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.
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