Answer and Step-by-step explanation:
The answer would be 2x + 2y.
This is because we combine the x's together and the y's together. This is the simplest form of the expression.
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Answer:
2x+y^2
Step-by-step explanation:
Collect like terms and rewrite
2x+y*y
write an equation passing through the point that is perpendicular to the given equation (-3,-2) ; y=x-2
Answer:
y= -(x)-2
Step-by-step explanation:
if you want to find an equation passing through the point that is perpendicular to an y=mx +c type equation. all you have to do is to change sign of the gradient. it's simple.
Sorry for the inconvenience.
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
What are the zeros of the function f (x) = 2 – 4sinx
The zero of the function are the roots of the function
The zero of the function is 30
How to determine the zerosThe equation of the function is given as:
\(f(x) = 2 -4\sin(x)\)
Set the function to 0
\(2 -4\sin(x) = 0\)
Subtract 2 from both sides of the equation
\(-4\sin(x) = -2\)
Divide both sides by -4
\(\sin(x) = 0.5\)
Take the arc sin of both sides
\(x = \sin^{-1}(0.5)\)
Solve for x
\(x =30\)
Hence, the zero of the function is 30
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Answer:
x equals 7 times pi over 6 plus 2 times pi times n and x equals 11 times pi over 6 plus 2 times pi times n
Step-by-step explanation:
The person who asked the question forgot to show the options which are:
x equals pi over 6 plus 2 times pi times n and x equals 5 times pi over 6 plus 2 times pi times n
x equals 7 times pi over 6 plus 2 times pi times n and x equals 11 times pi over 6 plus 2 times pi times n
x equals pi over 3 plus 2 times pi times n and x equals 5 times pi over 3 plus 2 times pi times n
x equals 2 times pi over 3 plus 2 times pi times n and x equals 4 times pi over 3 plus 2 times pi times n
I hope this helped you! :)
why is the sky blue? why is the water blue?
The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.
Why does the sky appear blue and the water blue?The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).
When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.
Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).
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graph these equations? y = 3x - 5, y = 1/2x + 5
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP
============================================
Work Shown:
\(\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\\)
When dividing fractions, you flip the second fraction and multiply (step 2).
Note in the last step, the 7's cancel out.
Answer:
2÷3
Step-by-step explanation:
=2÷7×3÷7
= 7 of the denominator will be cancelled
=hence, 2÷3 is the answer
Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the total amount at the time of purchase?
Answer:
$90
Step-by-step explanation:
To find out how much money he can save by paying the total amount at the time of purchase, first you have to determine the total amount that Jackson would pay if he can agree to pay $250 down and $130 a month for 18 months:
$250+(130*18)=$2590
Then, you need to find the difference:
$2590-$2500=$90
According to this, the answer is that you will save $90 by paying the total amount at the time of purchase.
This question is based on the simply math calculation. Therefore, the money can he save is $90 by paying the total amount at the time of purchase.
Given:
Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months.
We need to determined money can he save by paying the total amount at the time of purchase.
According to the question,
To find out, money he can save by paying the total amount at the time of purchase, first you have to determine the total amount that Jackson would pay if he can agree to pay $250 down and $130 a month for 18 months:
⇒ $250+(130 \(\times\) 18)=$2590
Now, calculating the difference:
⇒ $2590 - $2500 = $90
Therefore, the money can he save is $90 by paying the total amount at the time of purchase.
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let f(x)= 2x-9. Find the inverse and evaluate f^1 (-2).
Answer:
f(x)= 2x-9
f(-2)= 2(-2)-9
f(-2)= -4-9
=-13
How many real and complex roots exist for the polynomial
F(x)= x³ +2x² + 4x+8 ?
OA. 2 real roots and 1 complex root
OB. 1 real root and 2 complex roots
C. 3 real roots and 0 complex roots
D. 0 real roots and 3 complex roots
The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:
B. 1 real root and 2 complex roots.
How to identify the zeros of the function?The function in this problem is defined as follows:
F(x) = x³ + 2x² + 4x + 8.
The function is of the third degree, hence the total number of zeros of the function is of 3.
From the graph, the function has only one x-intercept, which is given as follows:
x = -2.
Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.
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Solve the following equation for x : 4x−2(x+1)=x−9
x=1
x=-4
x=9
x=-7
Answer:
x=-7
Solve for x by simplifying both sides of the equation, then isolating the variable. x=−7
What’s another name for plane P?
Answer:
trapezium maybe
Step-by-step explanation:
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Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
Please help I’ll mark you as brainliest if correct !!
47 had a finished basement with 0 three-car garage .
What is reasoning ?Thinking and cognition are related to reasoning, which requires using one's intellect. The study of logic focuses on how people can construct logically sound arguments using formal reasoning. Deductive, inductive, and abductive reasoning are three examples of logical reasoning that can be used to further break down reasoning. Aristotle distinguished between logical discursive reasoning (reason proper) and intuitive reasoning, noting that the former may lean toward the subjective and the personal, despite being correct. While logical and intuitive styles of reasoning might clash in certain social and political circumstances, in others they are considered as complimentary rather than competitive.
Calculationall the values are given that how many houses had a finished basement with no 3-car garage.
the no. of houses are = 47 .
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In a Examination a candidate has to score minimum of 24 marks inorder to clear the exam. The maximum that he can score is 40 marks. Identify the Valid Equivalance values if the student clears the exam.
a) 22,23,26
b) 21,39,40
c) 29,30,31
d) 0,15,22
We can Identify the Valid Equivalance values if the option c) 29,30,31 student clears the exam.
The values that the system or component being tested need to be able to accept are known as valid partitions. The "Valid Equivalence Partition" is the name given to this partition. The values that the component or system under test should reject are known as invalid partitions. The "Invalid Equivalence Partition" is the name of this partition.
For the purpose of the student passing the exam, the values of marks that they can obtain that are equal to or higher than the minimum required marks to pass the exam, which is 24 marks, are regarded real equivalency values. In this case, 29, 30, 31, and all mark values higher than 31 are valid equivalence values.
The appropriate selections are (c), 29, 30, and 31.
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What is the solution set for 7x – 3 = 18, given the replacement set {0, 1,2,3,4} ? O
x = 0
X= 1
X= 2
x= 3
X= 4
Answer:
X = 3
Step-by-step explanation:
Given the expression :7x - 3 = 18
To obtain the solution set ; we solve for X in the equation ;
7x - 3 = 18
Add 3 to both sides
7x - 3 + 3 = 18 + 3
7x = 21
Divide both sides by 7
7x / 7 = 21 / 7
x = 3
Hence, x = 3
Answer:
x=3
Step-by-step explanation:
Find the cube root. 3 square root 125 a^6
Answer:
We can simplify the expression under the cube root first:
3∛(125a^6) = 3∛(5^3 * a^6) = 3 * 5 * a^2 = 15a^2
Therefore, the cube root of 3 square root 125 a^6 is equal to 15a^2.
What is the volume of a cylinder, in cubic cm, with a height of 8cm and
a base diameter of 14cm? Round to the nearest tenths place
Answer:
Volume of the cylinder is 1232 cubic cm.Step-by-step explanation:
Given that:
A cylinder of height 8 cm and a base diameter of 14 cm.To Find:
What is the volume of a cylinder, in cubic cm.We know that:
Volume of a cylinder = πR²hWhere,
π = Ratio of circumference is to diameter = 22/7R = Base radius = 14/2 = 7 cmh = Height of the cylinder = 8 cmFinding the volume:
⟶ Volume = 22/7 × (7)² × 8
⟶ Volume = (22 × 7 × 7 × 8)/7
⟶ Volume = 8624/7
⟶ Volume = 1232
Hence,
Volume of the cylinder is 1232 cubic cm.In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
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A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
The amount of money in a savings account increases from $230 to $280 in one month. If the percent increase is the same for every month, how much money will be in the account at the end of the next month?
Answer: 330
Step-by-step explanation: add 50 to 280 :)
The figure below shows a triangular piece of cloth:
7 in.
What is the length of the portion BC of the cloth?
07 cos 33°
sin 33
07 sin 33°
B
O cos 33
The length of portion BC of the cloth is approximately 5.8709 inches.
To find the length of portion BC of the cloth, we need to use trigonometric functions.
In this case, we can use the cosine function.
Given that the adjacent side to angle B is labeled BC and the hypotenuse is labeled 7 in, we can apply the cosine function, which is defined as the adjacent side divided by the hypotenuse:
cos(angle) = adjacent / hypotenuse
In this scenario, the angle we are considering is 33 degrees.
Therefore, we have:
cos(33°) = BC / 7 in
To isolate BC, we can rearrange the equation:
BC = 7 in \(\times\) cos(33°)
Calculating this expression, we find:
BC ≈ 7 in \(\times\) 0.8387 (rounded to four decimal places)
BC ≈ 5.8709 in.
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ANSWER ASAPPP I NEED IT!
Answer:a
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is a A
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it
Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equation of the line is y = (3/2)x + 1.
To find the y-intercept of the line, substitute x = 0 into the given equation,
y = (3/2)(0) + 1
y = 1
Note that the y-intercept of the graph of the line is also 1.
The graph of the line passes through points (2,4).
To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:
4 = (3/2)(2) + 1
4 =4
The equation is true.
Hence, it can be said that the given equation represents the graph of the line.
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Suppose that Jeremy is a high school a science teacher and that he is dividing the 12 students in his advanced chemistry class into four groups of three for a lab activity. Each of the four lab groups has been assigned its own task to complete for the activity, but the students are not assigned specific roles within each group.
How many different ways can Jeremy assign his students to the four lab groups?
Total number of different ways Jeremy assigned students to the four lab task is equal to 72 ways.
As given in the question,
Total number of students = 12
Total number of labs groups are 4 of three
Number of different ways lab activities can be assigned = 4!
Value of n! = n(n-1) (n-2).....(2)(1)
Total number of different ways to represents Jeremy assigned lab activities to the 12 students into four groups
= 4! × 3
= 4 × 3 × 2 × 1 × 3
= 72 ways
Therefore, total number of different ways when Jeremy assigned lab task to his twelve students is equal to 72 ways.
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Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
evaluate the expression for x=-3 Thank you
\( {x}^{2 } - 2x + 4\)
Answer: 7
Step-by-step explanation:
3 x 3 = 9 - 2(3)+4
9-6+4
=7
Cayden goes to the book fair where paperback books are $1.50 and hardcover books are $3. Travis buys five paperback and two hardcover books. How much change will Cayden receive from a $20 bill? Write an expression or equation and show your work and answer.
Paperback books are $1.50 and hardcover books are $3.
The cost of five paperback and two hardcover books =
= 5 * 1.5 + 2 * 3 = 7.5 + 6 = $13.5
The change = 20 - 13.5 = $6.5
What is the product of these fractions in lowest term?
5/10 x 4/5
Give the correct model for the situation.
Zoey earns $20 an hour babysitting plus a $5 flat rate for gas. How many hours must Zoey work to earn at least $125?
Group of answer choices
A) 20h+5≥125
B) 20h+5=125
C) 20h+5≤125
D) 20h−5=125
Answer:
A) 20h+5≥125
Step-by-step explanation:
total amount = flat rate + amount per hour * hours worked
She wants to earn at least 125
125≤ 5 + 20h
Rewriting
5 + 20h ≥ 125
Answer:
Option a. 20h+5≥125 is the correct answer