Use the vertical line test to determine whether or not the graph is a graph of a function.
Answers
explanation:
well if you used the vertical line test, then you would know this is a function because there’s no more than 1 point for each vertical line.
*vertical means up and down*
Related Questions
If h(x) = 5 + x and k (x) = StartFraction 1 Over x EndFraction, which expression is equivalent to (k circle h) (x)? StartFraction (5 + x) Over x EndFraction StartFraction 1 Over (5 + x) EndFraction 5 + (StartFraction 1 Over x EndFraction) 5 + (5 + x)
Answers
Answer:
B
Step-by-step explanation:
i took the quiz and got it right
The value of k{h(x)} will be 1/(5+x) so option (B) will be correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function,
h(x) = 5 + x and k(x) = 1/x
Now,
K{h(x)} = 1/h(x)
K{h(x)} = 1/(5+x)
Hence "The value of k{h(x)} will be 1/(5+x) so option (B) will be correct".
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a certain typing agency employs two typists. the average number of errors per article is 3.5 when typed by the first typist and 4.1 when typed by the second. if your article is equally likely to be typed by either typist, find the probability that it will have no errors.
Answers
The probability that the article will have no errors is approximately 0.0233.
To solve this problem, we can use the formula for the probability of an event, which is the number of favorable outcomes divided by the total number of outcomes.
Let's first find the probability that the article is typed by the first typist. Since the article is equally likely to be typed by either typist, this probability is 1/2.
Now, we need to find the probability that the article has no errors given that it is typed by the first typist. We know that the average number of errors per article typed by the first typist is 3.5, so the probability that an article typed by the first typist has no errors is given by the Poisson distribution with λ = 3.5:
P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-3.5) * 3.5^0 / 1 = e^(-3.5) ≈ 0.0302
Similarly, we can find the probability that the article has no errors given that it is typed by the second typist. This probability is given by the Poisson distribution with λ = 4.1:
P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.1) * 4.1^0 / 1 = e^(-4.1) ≈ 0.0164
Finally, we can use the law of total probability to find the probability that the article has no errors:
P(X = 0) = P(X = 0 | typed by first typist) * P(typed by first typist) + P(X = 0 | typed by second typist) * P(typed by second typist)
= 0.0302 * 1/2 + 0.0164 * 1/2
= 0.0233
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Solve for all solutions of the equation: x^3 - 8 = 0
Answers
Answer:
x=2
Step-by-step explanation:
x^3=8
x=2 (take the cubed root of both sides)
This can be solved by adding 8 to both sides, then taking the cubed root of both sides
Can anyone explain this step-by-step?
4(10x - 20) = 2,000
Answers
Answer: x = 52
Step-by-step explanation:
You'd first deal with the 4 outside the parentheses, multiplying 10x-20 by 4. This would result in 40x - 80 = 200.
You'd then further isolate x, adding 80 on both sides, resulting in 40x = 2080. Divide by 40 on both sides and You'd get your answer of x = 52.
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
Answers
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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a grade school boy has five blue and four white marbles in his left pocket and four blue and five white marbles in his right pocket. if he transfers one marble at random from his left to his right pocket, what is the probability of his then drawing a blue marble from his right pocket?
Answers
The probability of his then drawing a blue marble from his right pocket is
0.456 or 45.6 % by using conditional probability theorem.
conditional probability, the probability that an event occurs given the knowledge that another event has occurred.
from the given information : considering for notations, let BL, BR, and WL denote drawing a blue marble from the left pocket, a blue marble from the right pocket, and a white marble from the left pocket, respectively. By the Law of Total Probability,
P(BR) = P(BL ∩ BR)+ P(WL ∩ BR)
= P(BL)P(BR|BL)+ P(WL)P(BR|WL)
= ( 5/9)(5/10) + (4/9)(4/10) = (41/90)
= 0.456
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It is Erika's turn to spin in a game she is playing with her friends. What is the probability that Erika will get to move ahead on this spin ? A)5/8 B)1/3 C)3/8 D)1/2
Answers
Answer:
1/2
Step-by-step explanation:
explain how to expand (x + 3)7 using the binomial theorem.
Answers
According to the binomial theorem, the binomial (x + 3)⁷ is equal to the septimic polynomial x⁷ + 21 · x⁶ + 189 · x⁵ + 945 · x⁴ + 2835 · x³ + 5103 · x² + 5103 · x + 2187.
How to expand the power of a binomial by using binomials theorem
Binomial theorem offers a brief form to expand the power of a binomial, that is, an algebraic expression of the form (a + b)ⁿ, where n is a natural number. The complete formula is shown below:
(a + b)ⁿ = Σ {n! / [k! · (n - k)!]} · \(a^{n-k}\) · \(b^{k}\), for k ∈ {0, 1, 2, ..., n - 1, n}
If we know that a = x, b = 3 and 7, then the expanded form of the power of the binomial is:
(x + 3)⁷ = [7! / (0! · 7!)] · x⁷ · 3⁰ + [7! / (1! · 6!)] · x⁶ · 3 + [7! / (2! · 5!)] · x⁵ · 3² + [7! / (3! · 4!)] · x⁴ · 3³ + [7! / (4! · 3!)] · x³ · 3⁴ + [7! / (5! · 2!)] · x² · 3⁵ + [7! / (6! · 1!)] · x · 3⁶ + [7! / (7! · 0!)] · x⁰ · 3⁷
(x + 3)⁷ = x⁷ + 7 · x⁶ · 3 + 21 · x⁵ · 3² + 35 · x⁴ · 3³ + 35 · x³ · 3⁴ + 21 · x² · 3⁵ + 7 · x · 3⁶ + 3⁷
(x + 3)⁷ = x⁷ + 21 · x⁶ + 189 · x⁵ + 945 · x⁴ + 2835 · x³ + 5103 · x² + 5103 · x + 2187
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Answer:
To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.Simplify by evaluating the coefficients and powers of 3.
Is y= 9 - 3.5x a linear equation?
Answers
Answer: yes
Step-by-step explanation:
Answer:
indeed!
Step-by-step explanation:
A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes first. Let X denote the number of tosses.
a) Build the probability distribution of X.
b) Find the mean value of X
c) Find the standard deviation of X.
Answers
The probability distribution of X is 0.5, 0.25, 0.25, and 0.125. Mean value ∑ X × P (X) = 1.875. Standard Deviation of X = 1.0533
a) For a fair coin,
P(H) = P(T) = 0.5
Outcome X Probability
T 1 0.5
HT 2 0.5×0.5 = 0.25
HHT 3 0.5×0.5×0.5 = 0.125
HHHT 4 0.5×0.5×0.5×0.5 = 0.0625
HHHH 4 0.5×0.5×0.5×0.5 = 0.0625
So, probability distribution of X is
X P(X)
1 0.5
2 0.25
3 0.125
4 0.0625+0.0625 = 0.125
b)
X P(X) X×P(X) X2×P(X)
1 0.5 0.5 0.5
2 0.25 0.5 1
3 0.125 0.375 1.125
4 0.125 0.5 2
sum 1 E(X) = 1.87
c) Variance = E(X²) - E(X)²
= 4.625 - 1.875²
= 1.1094
Standard Deviation of X = √ Variance
= √1.1094
= 1.0533
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 8:9. What are the measures of those two angles?
Answers
In a triangle, the measures of those two angles are, 80° and 90°.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle has an angle that measures 10°.
And, The other two angles are in a ratio of 8 : 9.
Since, The other two angles are in a ratio of 8:9.
So, The value of those two angles are 8x and 9x.
We know that;
The sum of all three interior angles in a triangle is 180°.
So, We can formulate;
⇒ 10° + 8x + 9x = 180°
⇒ 10° + 17x = 180°
⇒ 17x = 180 - 10
⇒ 17x = 170
⇒ x = 170 / 17
⇒ x = 10
Thus, The value of those two angles are,
⇒ 8x = 8 × x = 80°
⇒ 9x = 9 × x = 90°
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0.00541 divided by 10^2
Answers
Answer:
=0.0000541
Step-by-step explanation:
\(\frac{0.00541}{10^2}\)
\(\frac{0.00541}{100}\)
\(=0.0000541\)
Answer:0.0000541
Step-by-step explanation:
Firstly, you'll simplify 10².
10²÷0.00541 ---> 100 ÷ 0.00541
Then, you'll divide 100 by 0.00541.
100 ÷ 0.00541 ---> 18484.2883549
t and w are inversely proportional.
The equation of proportionality is t = 4/w
How will the value of t change if the value
of w is multiplied by 6?
Answers
Step-by-step explanation:
If t and w are inversely proportional, it means that as one variable increases, the other variable will decrease by the same factor. In this case, we have the equation t = 4/w, which means that if we multiply w by a certain factor, t will be divided by the same factor.
If we multiply w by 6, the new value of w will be 6 times the original value:
w' = 6w
To find the new value of t, we can substitute w' into the equation:
t' = 4/w'
t' = 4/(6w)
t' = 2/3w
So we see that t has been divided by 6/1 = 6. Therefore, the value of t will decrease by a factor of 6 if the value of w is multiplied by 6.
A supermarket had bags of grapes for $20.72 for 7. They also had bags of green grapes priced at 8.46 for 3. Which type of grapes is most expensive?
Answers
Answer:
The grapes are more expensive than the green grapes.
Step-by-step explanation:
GRAPES: If you divide $20.72 by 7, to get one bag of grapes instead of seven, you get $2.96/bag.
GREEN GRAPES: If you divide $8.46 by 3, to get one bag of green grapes instead of three, you get $2.82/bag.
$2.82 is less than $2.96, therefore, the grapes are more expensive than the green grapes.
S
4
(5, 4)
3
(-1,2)
2
1
(-3, 1)
(1, 0)
2
(3, 0)
-3
N
-1 0
4
5
6
-1
-2
(2,-2)
-3
What is the domain of this function?
Answers
Answer:
(2,2)
Step-by-step explanation:
Domain of this function
suppose the time to process a loan application follows a uniform distribution over the range to days. what is the probability that a randomly selected loan application takes longer than days to process?
Answers
The probability that a randomly selected loan application takes longer than 12 days to process is approximately 0.3636 or 36.36%.
It is given that the time to process a loan application follows a uniform distribution over the range of 5 to 16 days. The probability that a randomly selected loan application takes longer than 12 days to process is as follows.
1: Identify the parameters of the uniform distribution.
Lower bound (a) = 5 days
Upper bound (b) = 16 days
2: Calculate the range of the distribution.
Range = b - a = 16 - 5 = 11 days
3: Calculate the probability density function (PDF) for the uniform distribution.
PDF = 1 / Range = 1 / 11
4: Determine the range of interest (loan applications that take longer than 12 days).
Lower bound of interest = 12 days
Upper bound of interest = 16 days
5: Calculate the range of interest.
Range of interest = 16 - 12 = 4 days
6: Calculate the probability of a randomly selected loan application taking longer than 12 days.
Probability = PDF * Range of interest = (1 / 11) * 4 = 4 / 11 or 0.3636.
Therefore, the probability is approximately 0.3636 or 36.36%.
Note: The question is incomplete. The complete question probably is: Suppose the time to process a loan application follows a uniform distribution over the range 5 to 16 days. What is the probability that a randomly selected loan application takes longer than 12 days to process?
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If x° and 50° form a linear pair, find xº
Answers
Answer: 130°
Step-by-step explanation:
Concept to know:
Linear pair: two angles that forms one line
One line: 180°
-------------------------------------------------------------
x+50=linear pair
x+50=180
x=130°
Hope this helps!! :)
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which of the following would be the scatterplot for the given data? x 1 4 7 12 14 18 y 24 29 30 40 31 44
Answers
Answer:
Below is a picture
Step-by-step explanation:
Demos is a free calculator that can do things like this for you.
What is the value of j?
can some one help me please
Answers
Answer: 130 degrees
Step-by-step explanation:
The line equals 180 degrees
50+j=180
180-50=130
Answer:
130 Degrees
Step-by-step explanation:
180-50 = 130
Find the volume of this (I sent wrong picture)
Answers
Answer:
192 cm³
Step-by-step explanation:
V = w · h · l
4 · 6 · 8
192 cm³
Find the next three terms in each geometric sequence.
1. 638, -216, 72.......
2. 1/6, 1/2, 4.......
3. 72, 36, 18.......
Answers
The next three terms in each geometric sequence is 72, 36, 18, 9, 4.5, 2.25.
What is the general form of geometric progression?The general form of Geometric Progression is: a, ar, ar 2, ar 3, ar 4,…,a n. Where,
a = First term.
r = common ratio.
a n = nth term.
General Term or Nth Term of GP.
Let a be the first term
And, r be the common ratio for a G.P.
The general form of Geometric Progression is:
GP-series
Where,
a = First term
r = common ratio
arⁿ ⁻¹ = nth term
The next three terms of the GP is :
2.25 + 2.25 = 4.5
4.5 + 4.5 = 9
9 + 9 = 18
18 + 18 = 36
36 + 36 = 72
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Evaluate.
−[−125÷0.7(1.8)]−23
What is the value of the expression?
Answers
10(7x-5)=300 what is X
Answers
Answer:
x = 5
Step-by-step explanation:
10 ( 7x - 5 ) = 300
Distibute on the left:
70x - 50 = 300
Add 50 to each side:
70x = 350
Divide each side by 70:
x = 5
7x=30+5
7x=35
35 divided by 7= X=5
What is greater 25.789 or 25.879
Answers
Answer:
25.879
Step-by-step explanation:
25.789 or 25.879
25.789 < 25.879
What is the relationship between the volume of a rectangular prism and the volume of a pyramid with the same height and base?
Answers
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
How to find the volume of a rectangular prism and pyramid?
The formula for the volume of a rectangular prism is:
Volume = Length * Width * Height
The formula for the volume of a pyramid is:
Volume = (Base Area * Height) / 3
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.
Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.
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2+5*___=33
Figure out the blank.
You can use exponents
Answers
Answer:
6.2
Step-by-step explanation:
2+5*x=33
5*x=33-2
5*x=31
X=31/5
X=6.2
Over what interval is the function in this graph constant?
Answers
Answer:
hjjjnnnhjjjjj
Step-by-step explanation:
answer is d
What is diffusion
Explain how blood clots
When was the first world war fought
Answers
Answer:
Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.
Step-by-step explanation:
The three sides of a triangle are in different colors – blue, green and red. The ratio of the length of the blue side to the length of the green side to the length of the red side is 3 : 4 : 5. The perimeter of the triangle is 240 cm. a) Fill in the blank: ___ units = 240 cm b) Fill in the blank: 1 unit = ___ cm c) What is the length of the red side of the triangle?
Answers
Answer:
The perimeter is the distance around the triangle. Given the ratio, the perimeter using the ratio is;
= 3 + 4 + 5
= 12 units
a. 12 units = 240 cm
The perimeter in centimetres is 240cm and in ratio is 12 units so they are equivalent.
b. 1 unit = 20 cm
If 12 units are to 240 cm, 1 unit is;
= 240/12
= 20 cm
c. Length of red side;
Red side has length of 5 units. 1 unit is 20 cm.
Length in cm is;
= 5 * 20
= 100 cm
please help me with this question.
Answers
Answer:
V = 972m^3
Step-by-step explanation:
small = lwh = 9(2)(6)
large = lwh = 16(9)(6)
V = 9(2)(6) + 16(9)(6)
V = 108 + 864
V = 972m^3