Answers
For B, just times 1500 by 1 through 6 plus the 2000
Related Questions
Find f¹(z) for the following function: f(x)= 6 x+2 3 f¹(z) = k
Answers
Answer: If I did this correctly, it is 6
Step-by-step explanation:
f¹(z) = k, where k is a constant.
To find f¹(z), we need to solve the equation z = 6f¹(z) + 2/3 for f¹(z). Let's proceed step by step.
Start with the equation z = 6f¹(z) + 2/3.
Subtract 2/3 from both sides of the equation: z - 2/3 = 6f¹(z).
Divide both sides of the equation by 6: (z - 2/3)/6 = f¹(z).
Simplify the expression on the left side: f¹(z) = (z - 2/3)/6.
Thus, f¹(z) = (z - 2/3)/6, where f¹(z) represents the inverse function of f(x).
In summary, the inverse function f¹(z) of f(x) = 6x + 2/3 is given by (z - 2/3)/6.
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The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?
Answers
2x^2 + ax = 2x^2 + 7x
Subtract 2x^2 from both sides
ax = 7x
a = 7
the rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. the total perimeter is fixed. find the proportions of the window that will admit the most light. neglect the thickness of the frame.
Answers
Assume that x represents the window's rectangular portion's width and y represents the window's rectangular portion's height. The width of the rectangular component of the window is equal to the diameter of the semicircle portion since the semicircle with diameter d is atop the window, or x = d.
x = circle diameter = window width
r = x/2 and y = window height
We'll now solve for the window's perimeter. The top section of the rectangular window is not included since it is continuous with the semicircular component of the window, therefore the perimeter of the rectangle portion is x + 2y, and the perimeter of the circular portion is x/2 (which is half the circumference of a circle).
hence:
P = x2y + πx/2 = 2r + 2y + πr
We will now find a solution for the light that passes through the window. Assuming that transparent glass transmits one light per square inch, tinted glass transmits just one light per square inch.
The area of the rectangle component multiplied by the clear glass light constant, or 1*2ry = 2ry, will determine the rectangular light. The semicircular component will be equal to (1/4)*r2/2, which is the tinted glass light constant multiplied by half the area of a circle. Hence,
L = 2ry + πr2/8
Isolating y from the perimeter equation now will allow us to enter that value of y into the light equation.
L = r(P - r(2 + )) + r2/8 y = (P - r(2 + ))/2
P is a constant, hence the only variables in the light equation are We can differentiate L with respect to r (i.e. dL/dr) and solve for when dL/dr = 0 to find the point at which the light transmitted is at a maximum.
dL/dr = P - 2r(2 + π) + πr/4
0 = P - 2r(2 + π) + πr/4
r = 4P/(16 + 7π)
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Calculate the size of the unknown angle in this polygon.
Answers
Answer:
b=70
Step-by-step explanation:
(5-2)180=540
540-83-225-84-78=70
Answer:
70
Step-by-step explanation:
By adding all the angles, we get 470.
If we use the formula 180(n-2), where n is the number of sides, we get
180(5-2)
=180(3)
=540
540-470=70
The two dimensional net of a rectangular prism is shown at the left. What is the prisms surface area? (Someone please answer I’m having trouble)
Answers
Answer:
28 square units
Step-by-step explanation:
I got it wrong on edge and it told me the right answer was 28 square units!
an assumption of the linear model of communication is the belief that _____.
Answers
The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.
The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.
But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.
The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.
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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.
In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.
This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.
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What’s the mean,median,mode, and range of 5,28,16,32,5,16,48,29,5,35
Answers
Answer:
Step-by-step explanation:
5, 5, 5, 16, 16, 28, 29, 32, 35, 48
Mode: 5, 16
Median: 44/2 = 22
range: 48 - 5 = 43
mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9
Question 6 of 10
For f(x) = 3x +1 and g(x) = x^2 - 6, find (f - g)(x).
O A. - x^2 + 3x + 7
O B. x^2 – 3x-7
O C. 3x^2 - 17
O D. - x^2 + 3x - 5
Answers
According to question the answer is (A) -x^2 + 3x + 7
To find (f - g)(x), we subtract the function g(x) from the function f(x):
(f - g)(x) = f(x) - g(x) = (3x + 1) - (x^2 - 6)
Expanding the expression, we get:
(f - g)(x) = -x^2 + 3x + 7
what is expression?
An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. Expressions can be simple, like "3 + 5," or more complex, like "2x - 5y + 7." Expressions can also include functions, such as sin(x) or log(x). In general, an expression does not have an equal sign and does not represent an equation or inequality.
Examples of expressions include:
3x + 7
(2y - 5) / (x + 3)
√(a^2 + b^2)
sin(θ) + cos(θ)
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Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
Answers
Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
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How many terms are in
Answers
Answer:
4
Step-by-step explanation:
how do you decrease £56 by 14%
Answers
to do this, we have to multiply:
0.14 and 56 together.
0.14 x 56 = 7.84.
Now, we decrease £56 by 14%, which we have found is 7.84.
56 - 7.84 = 48.16.
The answer is 48.16. The process has been shown. Hopefully this helps! (:
x-14%
x=56*14/100
x=7,84£(it’s 14%)
56-7,84=48,16£ or 48 it’s (84% by 56£)
Find the surface area of the regular pyramid 6 cm 4cm help
Answers
The surface area of the given regular pyramid is 84 cm^2.
To find the surface area of a regular pyramid, we need to calculate the area of each face and add them together. A regular pyramid has a base that is a regular polygon, and its lateral faces are triangles that meet at a common vertex. We can use the Pythagorean theorem to find the slant height of the pyramid, which is the height of each lateral face.
Let's assume that the base of the regular pyramid is a square with side length 6 cm, and the slant height is 4 cm.
First, we need to find the area of the base of the pyramid:
Area of the base = (side length)^2
= 6 cm x 6 cm
= 36 cm^2
Next, we need to find the area of each triangular lateral face. Since the pyramid is a regular pyramid, all the triangular faces are congruent.
We can find the area of each triangular face using the formula:
Area of a triangle = (1/2) x base x height
The base of each triangular face is equal to the side length of the square base, which is 6 cm. The height of each triangular face is equal to the slant height, which is 4 cm.
Area of each triangular face = (1/2) x 6 cm x 4 cm
= 12 cm^2
Since the pyramid has 4 triangular faces, we need to multiply the area of one triangular face by 4 to get the total area of all the triangular faces:
Total area of the triangular faces = 4 x 12 cm^2
= 48 cm^2
Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Total surface area = Area of the base + Total area of the triangular faces
= 36 cm^2 + 48 cm^2
= 84 cm^2
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the major disadvantage of crude rates is that: group of answer choices the do not permit comparison of populations that vary in composition. they may not allow for comparison of populations that differ in size. all of the above. the are difficult to calculate from available data sources.
Answers
The major disadvantage of crude rates is that option (a) they do not permit comparison of populations that vary in composition
Crude rates are a simple method for calculating the frequency of an event or condition in a population, usually expressed as a rate per a specific population size or time period. However, they have a major limitation in that they do not account for differences in population characteristics or composition, such as age, sex, or socioeconomic status.
This means that crude rates may not accurately reflect the true differences in the occurrence of the event or condition between different populations. To overcome this limitation, age-standardized rates or other adjusted measures can be used to compare populations with different compositions.
Therefore, the correct option is (a) they do not permit comparison of populations that vary in composition
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10 points and marked brainliest!!! please help its a teat and due soon.
Answers
Answer:
27
Step-by-step explanation:
Answer:
ST=27 (Hope this helps)
Step-by-step explanation:
RT=100 (GIVEN)RS+ST=100
2x+7+x-6=100
3x+1=100
3x=99
x=33
ST=x-6 (GIVEN)ST=33-6
ST=27
when comparing two sample means, we can safely reject the null hypothesis if ______.
Answers
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
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Which equation has 3 as a solution set *?
Answers
The equation 3x - 9 = 0 has 3 as a solution out of all the given equations in the options.
Check the solution of equation 3x - 9 = 0
3x - 9 = 0
3x = 9
x = 3
Check the solution of equation 4x - 3 = 0
4x - 3 = 0
4x = 3
x = 3/4
Check the solution of equation 5x - 10 = 0
5x - 10 = 0
5x = 10
x = 10/5
x = 2
Check the solution of equation 7x - 49 = 0
7x - 49 = 0
7x = 49
x = 49/7
x = 7
Thus, only 3x - 9 = 0 satisfy the solution x = 3.
Hence, the correct option is A.
--The given question is incomplete, the complete question is
''Which equation has 3 as a solution set?
A. 3x - 9 = 0
B. 4x - 3 = 0
C. 5x - 10 = 0
D. 7x - 49 = 0''--
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The computer was regularly priced at $1,800. If you order the computer over the Internet, you can save money as the price is only $1,100. What percent discount are you getting?
Answers
11 / 18 = 61%
39% discount given
John's house is 12 miles away from school. He is
2/3 of the way home. How many miles has he walked?
08
O 16
O 18
O 24
Answers
Answer:
the answer is 8 miles
Step-by-step explanation:
Answer:
Maybe It should be 8.
Step-by-step explanation:
Maybe 8 because if he walked only 2/3 of a mile than it can't be bigger than 12. If you understand what I'm saying. If he walks 12 miles from home to school than it can't be more than the number your starting with. Im not actually sure that much but try it!
Prove, by finding constants that satisfy the definition of Big Oh, that 5x + 2x^2 + 2x^4 is O(x^4).
Answers
To prove that 5x + 2x^2 + 2x^4 is O(x^4), we need to find constants C and k such that for all x greater than some value k, the inequality |5x + 2x^2 + 2x^4| ≤ C|x^4| holds true.
To prove that 5x + 2x^2 + 2x^4 is O(x^4), we need to show that there exist constants C and k such that for all x > k, the inequality |5x + 2x^2 + 2x^4| ≤ C|x^4| holds true.
Let's consider C = 10 and k = 1. For x > 1, we have:
|5x + 2x^2 + 2x^4| = 5x + 2x^2 + 2x^4 ≤ 5x + 2x^2 + 2x^4
≤ 5x^4 + 2x^4 + 2x^4
= 9x^4.
Thus, for x > 1, we have |5x + 2x^2 + 2x^4| ≤ 9x^4. This satisfies the definition of big-O notation, with C = 9 and k = 1.
Therefore, we have shown that 5x + 2x^2 + 2x^4 is O(x^4), as we have found constants C = 9 and k = 1 that satisfy the definition of big O notation for the given function.
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5. Two trains travel in the same direction on
parallel tracks. Train A starts out 50 kilometers
ahead of Train B. Train A travels 90 kilometers
per hour and Train B travels 100 kilometers per
hour. In how many hours will the trains be in
the same place?
Answers
If the speed of train A is 90 kilometers per hour and the speed of train B is 100 kilometers per hour then after 5 hours they will be in the same place.
Given that the speed of train A is 90 kilometers per hour and the speed of train B is 100 kilometers per hour.
We are required to find the time after which both the trains will be in same place.
Speed is basically the distance travelled in a particular time.
Speed=Distance/Time.
Because the difference between both the train A and train B is 10 kilometers per hour so train B will cover 50 kilometers in 5 hours.
They will be at same place after 5 hours.
Hence if the speed of train A is 90 kilometers per hour and the speed of train B is 100 kilometers per hour then after 5 hours they will be in the same place.
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if the atlanta hawks free throw percentage is 82%, what is the probability that a player for the hawks will make 2 free shots in a row?
Answers
Answer:
Approx 67.24%
Step-by-step explanation: If the Atlanta Hawks' free-throw percentage is 82%, the probability that a player will make one free throw is 0.82.
To find the probability that a player will make two free throws in a row, we can use the multiplication rule of probability which states that the probability of two independent events occurring together is the product of their individual probabilities.
Therefore, the probability of a player making two free throws in a row can be calculated as follows:
P(making two free throws in a row) = P(making first free throw) x P(making second free throw)
P(making two free throws in a row) = 0.82 x 0.82
P(making two free throws in a row) = 0.6724 or 67.24%
Therefore, the probability that a player for the Atlanta Hawks will make two free shots in a row is approximately 67.24%
What are the first five terms of the sequence defined by the given function?
f(1)=-6
f(n)=f(n-1)+2, for n=2,3,4
A. -6, -8, -10, -12, -14
B. 2, 8, 14, 20, 26
C. 2, -4, -10, -16, -22
D. -6, -4, -2, 0, 2
Answers
sence
19-6n is greater than or equal to -8(6n+8-1)
Answers
Answer:
13n is greater than or equal to -21n
Find the value of each variable.
4V3
b
60°
45°
C
d
Answers
Answer:
a = 6, b = 6√2, c = 2√3, d = 6
Step-by-step explanation:
Applying,
sin60° = a/4√3
Therefore,
a = sin60°×4√3
a = (√3/2)(4√3)
a = 3×2
a = 6
Also,
cos60 = c/4√3
c = cos60×4√3
c = 0.5×4√3
c = 2√3
also,
tan45 = a/d
d = a/tan45
d = 6/(1)
d = 6
Also,
sin45 = a/b
b = a/sin45
b = 6/(1/√2)
b = 6√2
what's the probability tgat a junior bio major who has taken statistics has also taken a computer course
Answers
The probability that a junior bio major who has taken statistics has also taken a computer course is 13.46%.
We are trying to find the probability that a junior bio major who has taken a statistics course has also taken a computer course. This is referred to as the conditional probability, denoted as P(computer | statistics).
To calculate this, we can use the formula:
P(computer | statistics) = P(computer and statistics) / P(statistics)
This formula states that the probability of a junior bio major taking a computer course given that they have taken a statistics course is equal to the probability of them taking both a computer and statistics course divided by the probability of them taking only a statistics course.
The information given in the problem is as follows:
P(statistics) = 52%
P(computer) = 23%
P(computer and statistics) = 7%
So we can plug these values into the formula to calculate the conditional probability:
P(computer | statistics) = P(computer and statistics) / P(statistics) = 7% / 52% = 0.1346153846153846 or 13.46%
Therefore, the probability that a junior bio major who has taken statistics has also taken a computer course is 13.46%.
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The complete Question is:
A university requires its biology majors to take a course called BioRe search. The prerequisite for this course is that students must have taken either a Statistics course or a computer course. By the time they are juniors, 52% of the Biology majors have taken Statistics, 23% have had a computer course , and 7% have done both. What's the probability that a junior bio major who has taken statistics has also taken a computer course?
Of all the visitors to a museum on Saturday, 18% were kids younger than 11 years old. In lowest terms, write the fraction of visitors to the museum who were younger than 11 years old.
Answers
Explanation:
Any percentage converts to that number over 100.
So 18% would convert to 18/100
We then reduce the fraction by dividing each part by the GCF 2
18/2 = 9
100/2 = 50
The fraction 18/100 fully reduces to 9/50
5) x + y / 3 = 5 (x)
Answers
Answer:heloooooooo
Step-by-step explanation:
6. Evaluate the expression.
C(4,3)
Put your answer in the form [X].
Answers
C(4,3) = 4
The expression C(4,3) represents the number of combinations of 4 items taken 3 at a time. Using the formula for combinations, we have:
C(4,3) = 4! / (3! * (4-3)!) = 4
Therefore, the answer is [4].
3. Caleb and Joshua are buying food and drinks for a hiking expedition. Caleb bought 5 food items and 4
drinks for $39. Joshua bought 4 food items and 8 drinks for $48. How much did each item cost?
Define your variables. x =
Write a system of equations..
Solve using any method.
y=_
Answers
The cost of each food item is $5 and the cost of each drink is $3.5.
Let x be the cost of one food item.
Let y be the cost of one drink.
System of Equations:
From Caleb's purchase, we have:
5x + 4y = 39
From Joshua's purchase, we have:
4x + 8y = 48
This set of equations can be resolved using substitution or elimination. Here, we'll employ the elimination strategy.
When we divide the first equation by 2, we obtain:
10x + 8y = 78
This is what we get when we subtract the second equation:
6x = 30
Dividing by 6, we get:
x = 5
Substituting this value of x into either of the original equations, we can find y:
4(5) + 8y = 48
20 + 8y = 48
8y = 28
y = 3.5
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Sarah, Natasha and Richard share some sweets in the ratio 4:2:3. Sarah gets 13 more sweets than Richard. How many sweets are there altogether?
Answers
Answer:
117 sweets
Step-by-step explanation:
Please see attached picture for full solution. (model method)
S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.
Alternatively,
Let the number of sweets Sarah have be 4x.
Number of sweets Natasha have= 2x
Number of sweets Richard have= 3x
Sarah gets 13 more sweets than Richard
4x= 3x +13
4x -3x= 13
x= 13
Total number of sweets
= 4x +2x +3x
= 9x (simplify)
= 9(13) (subst. x=13)
= 117 sweets
Answer:
117 sweetsSolution,
Given ratio= 4 : 2 : 3
Sarah has 4x sweets.
Natasha has 2x sweets.
Richard has 3x sweets.
Given,
\(3x + 13 = 4x \\ 3 x - 4 x= - 13 \\ - x = - 13 \\ x = 13\)
Now,
Total sweets:
\(4x + 2x + 3x \\ = 4 \times 13 + 2 \times 13 \times 3 \times 13 \\ = 52 + 26 + 39 \\ = 117 \: sweets\)
Hope this helps..
Good luck on your assignment...