Answer:
B
Step-by-step explanation:
what is the domain and range of the function?
f(x) = (x – 3)
Answer:
Domain: (-infinite sign, infinity sign)
Range: (-infinite sign, infinity sign)
OR you can write it as {x|x ∊ R}
the R is real numbers
The figure has an area of 42 yd2. Which equation can be used to find the value of x?
The equation that can be used to find the value of x is x = 0.28
the figure has an area of 42 yd2
We are to find which equation can be used to find the value of x.
Since the area of the figure is equal to the product of its length and width, we can write;
Area of the figure = 42yd²
The length of the rectangle = 150yd
We can represent the width as x.
We have that;
Area of the figure = Length × width 42 = 150x
We divide both sides by 150;42/150 = x0.28 = x
Thus, the equation that can be used to find the value of x is x = 0.28.
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The area of triangle ABC is 4 root 2. Work out the value of x
Question is from mathswatch
In standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to?
in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3
What is standard form?Standard form is simply a value with an exponential powerl
Given the values;
It is important to note that any number to the power of O is equivalent to 1
So, we have
10^ 0 = 1
4( 10^-3) = 37
5(10^3) = 5000
Now, let's substitute the values
(10°) + 4 (10-3) + 5 (10³)
It is equivalent to
⇒1 + 4 × 10^-3 + 5 × 10^3
⇒1 + 37 + 5000
Add the values
= 5038
Let's convert it to standard form, we have
= 5. 04 × 10 ^3
Thus, in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3
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Burgers : 16% = HELPPPOPPOOPP
Answer:
16% is = to total amount or (i) initial multiplied by 0.16 The formula is i x (%) = i x (0.16)
Step-by-step explanation:
Write a rule for the nth term of the sequence. Then find a20. Assume the first termis a₁. 86, 79, 72, 65…
Answer:
an = a(n-1) - 7
Step-by-step explanation:
the second term is smaller than the first term 7.
a20 = a19 - 7
a19 = a18 - 7
=> a20 = (a18 - 7) - 7
Then you can accumalate until a1
-> a20 = a1 - 19*7 = 86 - 19*7 = -47
Which property is illustrated by the equation below?
(7+6) +4= 7+ (6 + 4)
associative property
O commutative property
distributive property
O identity property
Answer:
We conclude that the question illustrates associative property.
51. The optimistic time for completion of Activity " \( X \) " on a PERT chart was 6 hours, the most likely time was for this same activity was 9 hours and the pessimistic time was 12 hours. Using the
The expected time for completion of Activity "X" on a PERT chart is 9 hours.
PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.
Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:
Optimistic time (O) = 6 hours
Most likely time (M) = 9 hours
Pessimistic time (P) = 12 hours
Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9
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There are 14 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
There are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
Permutation is the arrangement of objects in a specific order. It is the number of different ways in which a set of objects can be arranged in a specific order. The formula to calculate permutation is:
\(P(n, r) = n! / (n - r)!\)
Permutations are commonly used in mathematics, science, and engineering, and are useful for solving problems that involve counting the number of possible arrangements of objects or events.
We can use the formula for permutations to find the number of ways to choose the four officers from a group of 14 students.
The number of permutations of n objects taken r at a time is given by:
\(^nP_r = n! / (n - r)!\)
where n! denotes n factorial, which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
In this case, we want to choose 4 students from a group of 14, and the order in which they are chosen matters (since we are electing them to specific positions). So we have:
n = 14
r = 4
The number of ways to choose the four officers is therefore:
\(^1^4P_4 = 14! / (14 - 4)! = 14 \times 13 \times 12 \times 11 = 24,024\)
Therefore, there are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
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the first term of a geometric sequence is 2, and the 4th term is 250. find the 2 terms between the first and the 4th term
Answer:
Step-by-step explanation:
We know that the for geometric sequence the terms are \(a,ar^2,ar^3,...\) , where a is the first term and r is the terms of common differences.Here the first term is a=2 and fourth term is 250. So the equation is :\(ar^3=250\implies2r^3=250\implies r^3=125\implies r=5\)
So we came to know that common difference is 5. Hence the two terms between first and 4 th term is 10 and 50.
Final Answer: Two terms are 10 and 50.
At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.
Answer:
ok so first take a way 100 from 350
250 then divide by 20
12
Hope This Helps!!!
Pls help
What is the magnitude of the vector u = <4, 7>?
\(\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}\)
Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?
Answer:
Tara has to pay £324 for 4 nights
Step-by-step explanation:
Regular price of a room per night
= £90
Regular price of a room for 4 nights
= 90*4
= £360
Price of a room for 4 nights after discount
= 75% (360)
= 75/100 * 360 = 75 * 3.6
= £270
Price of the room after charging VAT
= 270 + 20%(270)
= 270 + 20/100 * 270
= 270 + 2 * 27
= 270 + 54
= £324
a bag contains 4 white 5 red and 6 blue balls three balls are drawn at radon from the bag the probality that all of them are red is
The probability that all three balls drawn from the bag are red is 6/273.
What is probability?Prοbability is a measure οf the likelihοοd οr chance that a particular event will οccur. It quantifies the uncertainty assοciated with an οutcοme in a given situatiοn οr experiment.
Given:
- Total number of balls in the bag: 4 white + 5 red + 6 blue = 15 balls
- Number of red balls: 5
For the first draw, the probability of selecting a red ball is 5 red / 15 total balls = 1/3.
After the first red ball is drawn, there are 4 red balls left and 14 total balls remaining in the bag. Therefore, for the second draw, the probability of selecting another red ball is 4 red / 14 total balls = 2/7.
After the second red ball is drawn, there are 3 red balls left and 13 total balls remaining in the bag. Therefore, for the third draw, the probability of selecting the final red ball is 3 red / 13 total balls.
To find the probability of all three balls being red, we multiply the individual probabilities together:
P(all red) = (1/3) * (2/7) * (3/13)
Simplifying the expression, we get:
P(all red) = 6/273
Therefore, the probability that all three balls drawn from the bag are red is 6/273.
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GENERATE THE FIRST 4 Terms of f(n)=-2(n-1)+8
Help
Answer:
8, 6, 4, 2
Step-by-step explanation:
f(n)=-2(n-1)+8
Plug n =1
f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8
Plug n =2
f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6
Plug n =3
f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4
Plug n =4
f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2
What is the distance between (2,2) and (7,7)
Answer:
5\(\sqrt{2}\)
Step-by-step explanation:
Calculate the distance d using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (7, 7 )
d = \(\sqrt{(7-2)^2+(7-2)^2}\)
= \(\sqrt{5^2+5^2}\)
= \(\sqrt{25+25}\)
= \(\sqrt{50}\)
= \(\sqrt{25(2)}\)
= \(\sqrt{25}\) × \(\sqrt{2}\) = 5\(\sqrt{2}\) ≈ 7.07 ( to 2 dec. places )
A regular polygon is shown. 12 sided regular polygon Determine the measure of one of its angles.
The measure of one of its angle is 150°
A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.
Given that
12 sided regular polygon
We can use the following formula to calculate the total number of degrees in any shape:
(n−2)⋅180
[Where n = number of sides]
(12−2)⋅180
(10)⋅180
=1800
So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.
(1800/12) = 150°
Therefore the measure of one of its angle is 150°
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we want to distribute 7 flyers to 10 different mailboxes. how many ways can we do that if
There are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
If we are allowed to put at most one flyer per mailbox and the flyers are identical, this problem involves distributing identical objects into distinct containers. The solution can be obtained using the stars and bars method.
We can represent the distribution of flyers as 7 stars (representing the flyers) and 9 bars (representing the dividers between the mailboxes). The number of ways to distribute the flyers is equal to the number of ways to arrange the 7 stars and 9 bars, which is given by the binomial coefficient:
${{7 + 9}\choose{9}} = {{16}\choose{9}} = \frac{16!}{9!7!} = 11440$
Therefore, there are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
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The question is incomplete but probably the full question is:
We want to distribute 7 flyers to 10 different mailboxes. How many ways can we do that if (a) We put at most one flyer per mailbox and the flyers are identical?
7. A. Write a second equation so that the system will have no solutions. B. Write a second equation so that system
will have infinitely many solutions. 2x - 4y = 22
A) The second equation is 2x - 4y +20=0, this system has no solutions.
B) The second equation is x-2y-11=0, this system has infinite number of solutions.
What is meant by an equation?An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.
Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.
Given equation is,
2x - 4y = 22
A) Let the second equation be
2x - 4y +20=0
∴a₁/a₂=1
b₁/b₂=1
c₁/c₂=-11/10
Therefore, a₁/a₂=b₁/b₂≠c₁/c₂
Hence, the system has no solution.
B) Let the second equation be,
x-2y-11-0
Therefore, a₁/a₂=b₁/b₂=c₁/c₂=2/1
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The internal dimensions of a fuel can
are:
10 cm by 20 cm by 25 cm.
What is its capacity in litres?
The capacity of this fuel can is equal to 5 liters.
Given the following data:
Length = 10 cm.Width = 20 cm.Height = 25 cm.To calculate the capacity of this fuel can in litres:
How to calculate the capacity of the fuel can.In order to calculate the capacity of this fuel can, we would determine its volume by using this formula:
\(Volume = length \times breadth \times height\)
Substituting the given parameters into the formula, we have;
\(Volume = 10 \times 20 \times 25\)
Volume = 5,000 \(cm^3\).
In liters:
1 \(cm^3\) = 0.001 liters.
5000 \(cm^3\) = 5 liters.
Capacity = 5 liters.
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(c)x(c)x(c)x(c)x(c)x(c)?
Help please
Select the answer closest to the specified areas for a normal density.
(a) The area to the left of 32 on a N(45, 8) distribution. A. 0.948
C. 0.896 D. 0.104
B. 0.052
B. 0.97
(b) The area to the right of 12 on a N(9.4, 1.2) distribution. A. 0.985 C. 0.03 D. 0.015
(c) The area between 43 and 100 on a N(75, 15) distribution: A 0.984 C. 0.936 D. 0.64
The closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.
(a) The area to the left of 32 on a N(45, 8) distribution. The area to the left of 32 on a N(45, 8) distribution is given by: P(Z < (32 - 45)/8)P(Z < -1.625)= 0.052, approximately. So, the closest answer is B. 0.052.
(b) The area to the right of 12 on a N(9.4, 1.2) distribution. The area to the right of 12 on a N(9.4, 1.2) distribution is given by: P(Z > (12 - 9.4)/1.2)P(Z > 2.166)= 1 - P(Z < 2.166)= 1 - 0.985= 0.015. So, the closest answer is D. 0.015.
(c) The area between 43 and 100 on a N(75, 15) distribution. The area between 43 and 100 on a N(75, 15) distribution is given by: P((43 - 75)/15 < Z < (100 - 75)/15)P(-1.5333 < Z < 1.6666)= P(Z < 1.6666) - P(Z < -1.5333)= 0.9525 - 0.0624= 0.8901. So, the closest answer is C. 0.936.
In conclusion, the closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.
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What is the value of x? Enter your answer in the box. x =
Check the picture below.
exposed clout chaser
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Therefore, by substituting the values of the coordinates for two known points, we have;
\(Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}\)
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
What is the value of the expression 1 2 3 4 5?
The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
The sum of thee consecutive ODD integers is -21
Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 9.6 miles?
Answer:
2 hours
Step-by-step explanation:
9.6/(60/5 x 0.4) = 2 hours
/ = divide
x = multiply
Peter guesses on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices, and Peter needs to get at least 7 questions correct to pass. Here are some probabilities computed using the binomial formula: P(getting exactly 7 correct) = 0.0031 P(getting exactly 8 correct) = 0.000386 P(getting exactly 9 correct) = 2.86 × 10−5 P(getting exactly 10 correct) = 9.54 × 10−7. Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz.
a. 0.001
b. 0.002
c. 0.0035
d. 0.005
Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.
Probability of Peter Passing QuizTo compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.
So, the probability of passing the quiz is:
P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)
= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷
= 0.0035
Therefore, the result is c. 0.0035.
The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).
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