Answer:
22.34021442
Step-by-step explanation:
22.34021442
What’s the answer to question 1,2,3,4?
Answer:
1. y=0
2. y=2
3. y=4
4. y=-2(-4)-4
=32
Answer:
y = 2x
x = 0
y = 2*0 = 0
Answer: 0
x = 1
y = 2*1 = 2
Answer: 2
x = 2
y = 2*2 = 4
Answer: 4
y = -2x - 4
x = -4
y = -2*-4 - 4 = 8 - 4 = 4
Answer: 4
Step-by-step explanation:
let f(x) =x^2+3x-8 and g(x) =-2x+6 find (f+g) (x) and (f-g) (x)
Functions of these are algebraic expression (f+g)(x) = x² + x-2 and (f-g)(x) = x² + 5x - 14.
What is functions?In mathematics, a functiοn is a rule οr mapping that assοciates each element x in a set (called the dοmain) with a unique element f(x) in anοther set (called the range οr cοdοmain).Fοr example functiοn f(x) = x² + 3x - 8.
An algebraic expressiοn is a cοntains οf variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, divisiοn, and expοnentiatiοn. It cantains parentheses and οther grοuping symbοls tο indicate the οrder in which the οperatiοns shοuld be perfοrmed.
In the given question ,
To find (f+g)(x),
we simply add the two functions f(x) and g(x) term by term:
(f+g)(x) = f(x) + g(x)
= (x² + 3x - 8) + (-2x + 6)
= x² + (3x - 2x) + (-8 + 6)
= x² + x - 2
Therefore, (f+g)(x) = x² + x - 2.
To find (f-g)(x), we subtract g(x) from f(x) term by term:
(f-g)(x) = f(x) - g(x)
= (x² + 3x - 8) - (-2x + 6)
= x² + (3x + 2x) + (-8 - 6)
= x² + 5x - 14
Therefore, (f-g)(x) = x² + 5x - 14.
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Electronics The output voltage of an amplifier is calculated by multiplying the input voltage by the voltage gain of the amplifier. Calculate the output voltage, in millivolts (mV), for a circuit if the input voltage is 45 mV and the gain is 30.
The output voltage, in millivolts (mV), for the circuit would be = 1,350 millivolts.
What is an amplifier?An amplifier is defined as the electronic device that can be used to increase the electrical signal of a power source.
The output voltage of an amplifier= input voltage × gains.
Where;
input voltage = 45 mV
The gain = 30
Therefore the output voltage= 45×30 = 1350millivolts.
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Suresh needs to pack 144 pens, 42 pencils and 12 erasers into identical gift bags so that each item is equally distributed among the gift bags.
Find the number of each item in a gift bag.
Answer:
Each gift bag contains 24 pens, 7 pencils, and 2 eraser
Step-by-step explanation:
The greatest common factor of some given numbers is the greatest number that the given numbers are divisible by it
Ex: The greatest common factor of 8, 12, 36 is 4, because 8, 12, 36 divisible by it and 8/4 = 2, 12/4 = 3, 36/4 = 9, there is no other common factor between 2, 3, 9.Let us use the greatest common factor to solve the question
The factors of 144 are:
1, 2, 3, 4, 6, 9, 12,16, 24, 36, 72, 144
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The factors of 12 are:
1, 2, 3, 4, 6, 12
The common factors of 144, 42, 12 are:
1, 2, 3, 6
The greatest common factor of 144, 42, 12 is 6
∵ Suresh needs to pack 144 pens, 42 pencils, and 12 erasers into
identical gift bags
∵ Each item is equally distributed among the gift bags
→That means the number of bags must be the greatest common factor
of 144, 42 and 12
∵ 6 is the greatest common factor of 144, 42, 12
∴ The number of bags must be 6
∵ 144 ÷ 6 = 24
∴ Each bag contains 24 pens
∵ 42 ÷ 6 = 7
∴ Each bag contains 7 pencils
∵ 12 ÷ 6 = 2
∴ Each bag contains 2 erasers
∴ Each gift bag contains 24 pens, 7 pencils, and 2 eraser
If 2x -2y=10 and x+y=5 then x equals?
2/5 divided by 3/5 in simplest form
Answer:
2/3
Step-by-step explanation:
Extending so that I can send.
Answer:
2/3
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Solve for n. 7^n= 3^n
Answer:
This answer is not solveable
Step-by-step explanation:
If N is 1, then it will be 7 = 3. There is no number on this universe that can equal to 7 = 7 or 3= 3
What is the area of a rectangle with width 2/5 inches and length 3/5 inches? Give brainl
est
twice this number is 1 less than half of 26
Answer:
2x = (1/2)(26) - 1
The number is 6.
Step-by-step explanation:
2x = (1/2)(26) - 1
2x = 13 - 1
2x = 12
x = 6
A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose? Follow the steps to decide on the party location.
1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite.
2. Write an expression for the amount you would spend on a birthday party at the skating rink.
3. How many people could you invite to the bowling alley? Show how you found your answer.
4. How many people could you invite to the skating rink? Show your work.
5. To which location could you afford to invite more people?
Answer:
1. 50 = 5x+15
2. 50 = 3x+20
3. 7
4. 10
5. Skating Rink
Step-by-step explanation:
1. As the maximum amount of money is 50 dollars, you are given that there is a 5 dollar entry *per* person, alongside the 15 room rental fee added on. That is where the equation 5x+15 = 50 comes from
2. The same can be said with the skating rink, with different numbers. 3 *per* person plus the extra 20 room rental fee.
3. 50 = 5x+15 can be solved by subtracting 15 by both sides. This gives us 35=5x and dividing by 5 will give us 7 = x
4. 50 = 3x+20 can be solved by subtracting 20 by both sides. This gives us 30=3x and dividing by 3 will give us 10 = x
5. As 10>7, it's apparent that you can bring more people to the Skating Rink
For the party, at the skating rink, more people can be invited than at the bowling alley.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
1.
According to the question,
Expression ⇒ 5x + 15 = 50
2.
According to the question,
Expression ⇒ 3x + 20= 50
3
For bowling alleys,
5x + 15 = 50
x = 7 people
4.
For the skating rink,
3x + 20 = 50
x = 10 people
5.
At the skating rink, more people can be invited.
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a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answer:
Step-by-step explanation:
Ellie is the agricultural manager of Apple a Day Orchards. To boost pollination, she puts a beehive with about 10,000 bees on the property. She expects the bee population to increase by 12% each year. You can use a function to approximate the number of bees in the hive after x years
The correct function to approximate the number of bees in the hive after x years is,
⇒ y (x) = 8928.57 (1.12)ˣ
Since, We have to given that;
Ellie is the agricultural manager of Apple a Day Orchards.
And, boost pollination, she puts a beehive with about 10,000 bees on the property.
Since, She expects the bee population to increase by 12% each year.
Hence, We can formulate;
the number of bees in the hive after x years is,
⇒ y (x) = 10,000 (1 + 0.12)ˣ⁻¹
⇒ y (x) = 10,000 (1.12)ˣ⁻¹
⇒ y (x) = 10,000 (1.12)ˣ / 1.12
⇒ y (x) = 8928.57 (1.12)ˣ
Thus, The correct function to approximate the number of bees in the hive after x years is,
⇒ y (x) = 8928.57 (1.12)ˣ
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Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent crime. The probability of observing no positive reading if all suspects are telling the truth is: (a) 0.00 (b) 0.23 (c) 0.41 (d) 0.59 (e) 0.77
The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.
Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.
To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:
(90%)^5 = (0.9)^5 = 0.59049.
The correct answer is therefore (d) 0.59.
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There are 5 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?
Answer:
60
Step-by-step explanation:
To begin, we can look at combinations and permutations. A permutation or combination is when we need to find how many possibilities there are to choose a certain amount of objects (in this case, candidates) given an array of options (members on the board)
Combinations are when the order doesn't matter, and permutations are when the order does matter. Here, we know that we care whether someone is chairperson or secretary. If we were to just choose three for an "elite" board, and there were no specific positions in the board, then order would not matter. However, because it does matter which person gets which role, order does matter.
Assuming that someone cannot have more than one role, we know that this is a permutation without repetition. The formula for this is
(n!) / (n-r)!, where we have to choose from n number of people and choose r number of people. We have 5 members to choose from, and 3 people to choose, making our equation
(5!) / (5-3)! = 120 / 2! = 120/2 = 60
8x+1+7x+4 whats the answer.
Hey there!
8x + 1 + 7x + 4
COMBINE your LIKE TERMS
(8x + 7x) + (1 + 4)
8x + 7x = 15x
1 + 4 = 5
Answer: 15x + 5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
15 + 5x
Step-by-step explanation:
8x + 1 + 7x + 4
All that you need to do is combine like terms which means that you need to put together (either add or subtract) the numbers that are similar...so the numbers with the numbers, and the variables with the variables...
8x + 7x and 1 + 4
15x + 5
And you cannot do anything else because it is in its simplest form.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Hellpppp! This is 5 th grade math and I need it done sooon! How would yand I need helpScott wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled
floor is 7ft by 3 - ft. Find the area the carpet needs to cover
A school supervisor wants to determine the percentage of students that bring their lunch to school. What method would assure random selection of a sample population?
To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.
Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:
Define the population: The school supervisor needs to clearly define the population of interest, which would be all the students in the school.Assign a unique identifier: Each student should have a unique identifier, such as a student ID number, to differentiate them from one another.Generate a sampling frame: A sampling frame is a list of all the unique identifiers of the students. This could be obtained from the school's records or databases.Determine the sample size: The school supervisor needs to decide on the desired sample size, ensuring it is representative of the population while being practical to manage.Use a random selection method: Employ a random selection method, such as using a random number generator or a random number table, to select the required number of unique identifiers from the sampling frame.Contact selected students: Once the sample has been selected, the chosen students can be contacted to participate in the survey or data collection regarding whether they bring their lunch to school.know more about percentage here:
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eecia joins a gym. She pays a membership fee of $75.00 and $49.99 per month for the first 8 months. The gym increases its rates, and she must pay $59.99 per month for the next 4 months. Which numerical expression can be used to find the total cost of the first year of Keecia’s gym membership?
75 + (8) (49.99) + (4) (59.99)
75 + (8 + 4) (49.99 + 59.99)
75 minus (8) (49.99) + (4) (59.99)
75 + 49.99 + 59.99
Answer:
A.
75 + (8) (49.99) + (4) (59.99)
Step-by-step explanation:
what is 2/5 x 16 = pls help tell me in frictions
Answer:
32/5
Hope you have a good day, Loves!~ <3
Answer: 6u2/5 or 6 2/5
Step-by-step explanation:
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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williams only has 1 3/4cups of flour ,so he only make 2/3 0f a batch of biscuits. how much flour is needed for a full batch of biscuits?
Answer:
2 5/8 cups of flour
Step-by-step explanation:
Use a proportion.
1 3/4 cups of flour is to 2/3 of a batch as x cups of flour is to 1 batch.
1 3/4 : 2/3 = x : 1
2/3 x = 1 3/4 * 1
2/3 x = 1 3/4
2/3 x = 7/4
3/2 * 2/3 x = 3/2 * 7/4
x = 21/8
x = 2 5/8
Answer: 2 5/8 cups of flour
Solve:(6x^2+5x+1)÷(x+2)
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 12 supermarkets from Region 1 had mean sales of 79.8 with a standard deviation of 8.8. A random sample of 17 supermarkets from Region 2 had a mean sales of 85.2 with a standard deviation of 8.3. Does the test marketing reveal a difference in potential meal sales per market in Region 2? Use a signifiance level of a = 0.02 for the test. State the null and alternative hypotheses for the test and find the test statistic.
Answer:
The null hypothesis is \(H_o: \mu_1 = \mu_2\)
The alternative hypothesis is \(H_1 : \mu_1 \ne \mu_2\)
The test statistics is \(t = -1.667\)
Step-by-step explanation:
From the question we are told that
The first sample size is \(n_1 = 12\)
The first sample mean is \(\= x_1 = 79.8\)
The first standard deviation is \(\sigma _1 = 8.8\)
The second sample size is \(n_2 = 17\)
The second sample mean is \(\= x_2 = 85.2\)
The second standard deviation is \(\sigma _2 = 8.3\)
The null hypothesis is \(H_o: \mu_1 = \mu_2\)
The alternative hypothesis is \(H_1 : \mu_1 \ne \mu_2\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x_ 1 - \= x_2 }{ \sqrt{ \frac{\sigma_1^2 }{n_1 } +\frac{\sigma_2^2 }{n_2} } }\)
=> \(t = \frac{ 79.8 - 85.2 }{ \sqrt{ \frac{8.8^2 }{12} +\frac{ 8.3^2 }{17} } }\)
=> \(t = -1.667\)
help asap will give brainliest hurry
Based on the given information, the value of y is 5.
What is a cyclic polygon?
A cyclic polygon is a polygon that can be inscribed inside a circle in such a way that all of its vertices lie on the circumference of the circle. In other words, a cyclic polygon is a polygon that can be circumscribed by a circle.
In a polygon with n sides, the sum of its interior angles is given by the formula: (n - 2) * 180 degrees. Since this polygon is inside a circle, it must be a cyclic polygon, which means that its opposite angles add up to 180 degrees.
We are given that the opposite angles are 23y and 13y, so we can write:
23y + 13y = 180
36y = 180
y = 5
Therefore, the value of y is 5.
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