1 hour = 60 minutes
2 hours = 120 minutes +30 = 150 minutes total
128 / 150 = 0.853 km/min
Find the value of 7 + 32 (-5 + 1) ÷ 2.
25
32
-11
-11 would be your answer since i'm guessing that the answer is 3^2 and not 32
If ,f(x)= 1/4x+3, what is the equation for f–1(x)?
Final answer:
To find the equation for f–1(x), swap the roles of x and f(x) in the equation for f(x), solve for f(x), and replace it with x.
Explanation:
To find the equation for f–1(x), we need to swap the roles of x and f(x) in the equation for f(x) and solve for f(x). So, given that f(x) = 1/4x + 3, we can start by replacing f(x) with x in the equation:
x = 1/4f–1(x) + 3
Now we can solve for f–1(x). First, subtract 3 from both sides of the equation:
x - 3 = 1/4f–1(x)
Then, multiply both sides of the equation by 4:
4(x - 3) = f–1(x)
So, the equation for f–1(x) is f–1(x) = 4(x - 3).
Final answer:
To find the inverse of the function f(x) = 1/4x + 3, swap x and y and solve for y to get the inverse function f⁻¹(x) = 1/(4(x - 3)).
Explanation:
To find the equation for the inverse function f⁻¹(x) of the given function f(x) = 1/4x + 3, we need to swap the variables x and y and then solve for y.
Start with the original function, substituting y for f(x): y = 1/(4x) + 3.Swap x and y: x = 1/(4y) + 3.Solve for y. Subtract 3 from both sides: x - 3 = 1/(4y).Multiply both sides by 4y: 4y(x - 3) = 1.Divide both sides by (x - 3): y = 1/(4(x - 3)). Therefore, the inverse function is f⁻¹(x) = 1/(4(x - 3)).Therefore, the inverse function is f⁻¹(x) = 1/(4(x - 3)), showcasing the step-by-step process to derive the inverse relationship.
Question 20 read the question and type your response in the box below the question. your response will be saved automatically. write an example of a linear equation with one variable and infinitely many solutions.
Prove the alternating series test by showing that (sn) is a cauchy sequence.
What is the value of x in the equation 1/3x-2/3 =-18
Answer:52
Step-by-step explanation:
Solve this Multi-Step Equation
7p - (3p + 4) = -2(2p - 1) + 10
PLEASE HELP, BRAINLIEST William pays $32 per year for no-deductible comprehensive coverage of his new full sized car. A hailstorm causes $250 worth of damage to the paint on his car
How much will the insurance pay?
How much must Richard pay?
Answer:
The insurance company will pay $250.
Step-by-step explanation:
Deductible is the amount of the loss a policy holder pays when he files for an insurance claim, before the insurance company pays any money. And no deductible means that the person will not pay anything, The insurance company will pay.
So, here William pays for a no deductible insurance, which means he will not pay anything. His insurance company will pay the total amount of $250.
graph the linear equation. find three points that solve the equation, then plot on the graph -5x+2y=11
To graph the linear equation -5x+2y=11, choose x values and solve for y to find points for plotting. Three example points are x = 0, 2, and -5 with y values of 11/2, 8, and 21 respectively.
Explanation:Graphing the Linear Equation -5x + 2y = 11:
To find points, we can choose values for x and then solve for y.Choose x = 0, x = 2, x = -5 as examples.For x = 0, y = 11/2; for x = 2, y = 8; for x = -5, y = 21. Plot these points on a graph and draw a straight line through them.At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.
Final answer:
To determine the speed of two Mississippi steamboats, we use algebra to set up and solve a system of equations. The slower boat travels at 6 miles per hour, and the faster boat travels at 15 miles per hour.
Explanation:
To solve the problem of finding the speed of two Mississippi steamboats, we can set up a system of linear equations. The boats are 126 miles apart and travel towards each other until they pass at 6:00 p.m. This means they've been traveling for 6 hours. Let's define the speed of the slower boat as x miles per hour and the faster boat as x+9 miles per hour.
Since distance equals speed multiplied by time, the distance covered by the slower boat can be represented by 6x and by the faster boat as 6(x+9). The sum of these distances will be equal to 126 miles, the initial distance between the two boats.
Set up the equation: 6x + 6(x + 9) = 126.
Simplify the equation: 12x + 54 = 126.
Solve for x: x = 72 / 12 = 6 miles per hour.
Calculate the speed of the faster boat: x + 9 = 6 + 9 = 15 miles per hour.
Therefore, the speed of the slower steamboat is 6 miles per hour, and the speed of the faster steamboat is 15 miles per hour.
I need to know how to do this question
A manufacturer is producing two types of shoes, types A and B. Type A cost $4 to produce and takes one hour. Type B costs $5 dollars to produce and takes 12 1 2 hour. Type A yields a profit of $10 and type B yields a profit of $12. The manufacturer has $40 and 7 production hours available. How many of each type of shoe should the manufacturer produce to maximize profit?\
How many lines of symmetry are
found in a regular polygon with 40
A regular polygon has the same number of lines of symmetry as it has sides. Therefore, a regular polygon with 40 sides will have 40 lines of symmetry.
Explanation:In Mathematics, symmetry is a significant aspect when dealing with geometric figures, such as polygons. In a regular polygon, the number of lines of symmetry is equal to the number of sides. Therefore, a regular polygon with 40 sides will have 40 lines of symmetry.
This is because, in a regular polygon, all sides and angles are equal, meaning it can be reflected or folded over each of its sides and still remain the same shape. So, you can draw a line from each vertex to the opposite side (or vertex in some cases) and get a perfect fold or reflection.
Remember, this is only true for regular polygons, as irregular polygons won't have the same number of lines of symmetry because their sides and angles may not be equal.
Learn more about Symmetry in Regular Polygons here:https://brainly.com/question/33820017
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Help please! Reflection of a triangle on a graph. D:
Which of the following measurements best describes the amount of water in a bucket? 3 gallons 30 fl. oz. 5 pints 10 cups
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ?
Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line?
Find the slope of the line with the equation 2x+3y=6
Match the following items.
Am I right
1. 2x + x + 4 = -17
2
combine like terms
2. 3x + 4 = -17
3
subtraction
3. 3x = -21
4
division
4. x = -7
1
Given
In a memory ad for dimms, you notice 256meg x 72 for one dimm and 256meg x 64 for another dimm. what does the 72 tell you about the first dimm?
How does a globe represent the fact that there are no parallel lines in elliptical geometry?
(10 pts) A plastic extruder can produce 3843 ft of plastic pipe in an 8 hour shift. If the plastic is cut into 7 ft long pipes, how many pipes are produced each shift ?
Do you just divide 3843 by 7?? It just seems to simple.
Answer:
8742
Step-by-step explanation:
838473
Which of these variables is least likely to have a normal distribution?
a.annual income for all 150 employees at a local high school
b.lengths of 50 newly hatched pythons
c.heights of 100 white pine trees in a forest
d.amount of soda in 60 cups filled by an automated machine at a fast-food restaurant
e.weights of 200 of the same candy bar in a shipment to a local supermarket?
Answer:
Annual income for all 150 employees at a local high school
Step-by-step explanation:
The normal distribution is also called the Gaussian distribution. It is the most common type of distribution for statistical analysis. The normal distribution is based on a probability distribution. The data near the mean are more frequent than the data away from the mean. It is based on two parameters: the mean and the standard deviation.
As per options, option A which states ‘annual income for all 150 employees at a local high school’ the data is within the standard deviation.
Whats the answer for solve the equation 6x + 3y = 15 for y. what does y equal if x = 2? if x = 5?
To solve the linear equation 6x + 3y = 15 for y, isolate y, which yields y = (15 - 6x) / 3. Substituting x as 2, we find y = 1, and when x is 5, y equals -5.
In order to solve the equation 6x + 3y = 15 for y, we must first isolate y on one side of the equation. This can be done by first subtracting 6x from both sides of the equation, resulting in 3y = 15 - 6x. To solve for y, we then divide both sides by 3, obtaining y = (15 - 6x) / 3.
When x = 2, we substitute it into the equation to find y:
y = (15 - 6(2)) / 3y = (15 - 12) / 3y = 3 / 3y = 1.
Similarly, when x = 5, we find y by substitution:
y = (15 - 6(5)) / 3y = (15 - 30) / 3y = -15 / 3y = -5.
A girl delivering newspapers travels 2 blocks west, 5 blocks north, and then 6 blocks east.
What is her resultant displacement?
___blocks at
____ ° counterclockwise from east.
A simple random sample is chosen in such a manner that
BRAINLIESTTTTTTTTTTTTTTTTTT!''1. The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment.
The steps to calculate an equivalent function are shown below:
[Step 1] f(x) = 800(1.09)^3x
[Step 2] f(x) = 800(1.09^3)^x
[Step 3] f(x) = 800(1.09 ⋅ 3)^x
[Step 4] f(x) = 800(3.27)^x
Which of the following is the first incorrect step?
There is no mistake in the work.
Step 1
Step 2
Step 3
Step 4
Answer: The incorrect step is the second one or step 2
The base angles of all trapezoids are congruent.
True or False
GET 15 POINTS NOWWWWWWWWW!!!!
What is the point slope form of the line with slope [tex] \frac{2}{5} [/tex] that passes through the point (−4, −7) ?
If a circle takes 8 rotations to roll 5 meters, what is its radius?
Cindy spends 2 hours doing English, Geometry and History homework. It takes her 35 minutes to do English homework and 55 minutes to do Geometry homework. How much time does Cindy spend on History homework? Question 7 options: A.Cindy spends 30 minutes on History homework. B.Cindy spends 25 minutes on History homework. C.Cindy spends 65 minutes on History homework. D.Cindy spends 60 minutes on History homework.