Option (4): The inverse of the function tells us the number of visits m that can be made for a cost of c.
What is meant by the inverse of a function?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.
A function that can reverse into another function is known as an inverse function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as " f ⁻¹ " or " F ⁻¹."
Given a function,
c(m) = 60 + 10m
where c = cost of visiting the gym
m = number of visits
Then the Inverse function is:
c(m) - 60 = 10m
m = (c(m) - 60) / 10
Therefore the inverse of the function tells us the number of visits m that can be made for a cost of c.
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f(3/4) if f(x) =2x-1/4
The value of f(3/4) is 5/4.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a function.
f(x) = 2x - 1/4
We have to find the value of the function when the input value x = 3/4.
For that, substitute 3/4 in place of x.
f(3/4) = (2 × 3/4) - 1/4
= 6/4 - 1/4
= 5/4
Hence the value of the function is 5/4.
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A rigid motion maps each part of a figure to an______ part of its image
A rigid motion maps each part of a figure to an Rotation.
What is rotation ?
In physics, rotation refers to the movement of an object around an axis or a fixed point. When an object rotates, every point on the object moves in a circle around the axis of rotation, and the object typically completes one full rotation or revolution after it has moved a full 360 degrees around the axis.
The study of rotation in physics is important in many fields, including mechanics, electromagnetism, and quantum mechanics. Rotational motion is characterized by several key parameters, including the angle of rotation, the angular velocity (how fast the object is rotating), and the angular acceleration (how quickly the angular velocity is changing).
In addition, rotational motion is subject to a number of physical laws and principles, such as Newton's laws of motion, which describe the relationship between the forces acting on a rotating object and its resulting motion. Other principles, such as the conservation of angular momentum, relate to the conservation of the rotational energy of a system as it undergoes rotational motion.
Therefore, a rigid motion maps each part of a figure to an Rotation.
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SP when CPi is 380 and gain percentage is 25
Answer:
If the cost price (CP) is 380 and the gain percentage is 25%, we can use the following formula to find the selling price (SP):
SP = CP + (gain percentage/100) * CP
Substituting the given values, we get:
SP = 380 + (25/100) * 380
SP = 380 + 95
SP = 475
Therefore, the selling price is 475.
Step-by-step explanation:
What is the number of moles in 3.2 x 10^24 atoms of nitrogen?
A. 1.9 moles
B. 5.3 moles
C. 9.5 moles
D. 19.2 moles
Answer:
b
Step-by-step explanation:
Use the Avogadro constant of 6.02 x 10^23
One slice of cheese pizza contains 340 calories. A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange
A medium-sized orange contains 68 calories. Which is one-fifth the number of calories in a slice of cheese pizza.
If one slice of cheese pizza contains 340 calories, and a medium-size orange has one-fifth that number of calories, we can find the number of calories in a medium-size orange by dividing 340 by 5. Calories in a medium-sized orange = [tex]\frac{340}{5}[/tex] calories = 68 calories. The division is an arithmetic operation used to find out how many times one number is contained within another number. The result of a division operation is called the quotient.
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579.83+42.2
QUICK!!!
Answer:
622.03
Step-by-step explanation:
The EPA reports that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A SRS of 28 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) State the null and alternative hypotheses.
H0: mean=1.45
H1: mean< 1.45
=-3.175
The result is significant at p < .01.
Reject Null Hypothesis
the mean level of exhaust emitted for this model reduces emissions
What is the Null hypothesis:?
A)
Null hypothesis:
H0: mean=1.45
Alternative hypothesis:
H1: mean< 1.45
b)
estimate - the value we hypothesize standard error test statıstıc - t-statisticS
[tex]\begin{gathered}\text { test statistic }=\frac{\text { estimate }-\text { value we hypothesize }}{\text { standard error }} \\\text { t-statistic }=\frac{\bar{x}-\mu_o}{s / \sqrt{n}}\end{gathered}[/tex]
t=1.21-1.45/0.4/sqrt(28)
=-3.175
c)
t=-3.175
df=28-1=27
alpha=0.01
The P-Value is .001863.
The result is significant at p < .01.
d)
p=0.001
< alpha of 0.01
Reject Null Hypothesis
e)
there is sufficient evidence
the mean level of exhaust emitted for this model reduces emissions
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what is 3/5 into a percent?
3/5 = 0,6, it is 0.6 × 100 = 60%
Therefore, 3/5 is expressed as 60% in terms of percentage.
Percentage:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. This is one way of representing a dimensionless ratio between two numbers. Other methods include ratios, fractions, and decimals. Percentage is often indicated by writing a "%" sign after the number.
According to the Question:
To convert a fraction to a decimal, it's always best to look at the denominator first. If the denominator only has prime factors of 2 and 5, you can easily pick a number multiplied by the denominator and convert it to a denominator that is a power of 10, and the result is the final prime number. If you have prime factors other than 2 and 5, converting to decimal takes longer and can result in infinite but repeating decimals.
In this case, the denominator is 5, so you can easily convert to decimal by multiplying the denominator and numerator by 2.
(3 × 20) / (5 × 20) = 60/100
Now,
To convert a fraction to a percentage, simply multiply by 100 and put a % sign next to the result.
As 3/5 = 0,6, it is 0.6 × 100 = 60%
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Which is more, 3,293 yards or 1 mile?
Answer:
3,293 yards are more than a mile
Step-by-step explanation:
1 mile is 1,760 yards. Thereby, we know that 3,293 is more than 1,760.
Answer: 3,293 yards is more than a mile since a mile is 1,760 yards
Step-by-step explanation:
2 miles are 3,520 yards which can further prove that 1 mile is way less the 3,293 yards
Hope this helped
Equilateral triangle abc has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle a to side at point m. What is the length of ? 16 mm 24 mm 32 mm 48 mm.
Option a is correct- The length of MC is 16mm.
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have,
perimeter = 3 * side
3 * side = 96
side = 32mm
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation,
height = (side * root(3))/2
height = 16root(3)
Using the Pythagoras' theorem in the triangle ACM, we have,
side^2 = MC^2 +height ^2
1024 = MC^2 + 768
MC^2 = 256
MC = 16mm
so, The length of MC is 16mm.
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Please answer this. will get alot of points
The horizontal distance between Ryan and the dolphin is 57.87 feet.
The airplane is 10735.96 feet away from the control tower
The angle of depression from the top of the lighthouse to the boat is 0 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using trigonometry, we can find the horizontal distance x:
tan(15) = x / 228
x = 228 tan(15)
x = 57.87 feet
Therefore, the horizontal distance between Ryan and the dolphin is 57.87 feet.
2. Using trigonometry, we can find the horizontal distance between the airplane and the control tower:
tan(56) = x / 7450
x = 7450tan(56)
x = 10735.96 feet
Therefore, the airplane is approximately 10735.96 feet away from the control tower
3. We want to find the angle of depression from the top of the lighthouse to the boat. Since the lighthouse is 275 feet above the water, we can use trigonometry to find the height of the lighthouse above the boat:
tan(90) = 275 / x
x = 275 / tan(90)
x = undefined
Therefore, the angle of depression from the top of the lighthouse to the boat is 0 degrees.
Hence, the horizontal distance between Ryan and the dolphin is approximately 57.87 feet.
the airplane is approximately 10735.96 feet away from the control tower
the angle of depression from the top of the lighthouse to the boat is 0 degrees.
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The data for numbers of times per week the 24 students of digimo high eat vegetables are shown in the frequency table which data display would you use to represent this data
To represent the data, the display used is histogram.
What is histogram?A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. Histograms visualize quantitative data or numerical data, whereas bar charts display categorical variables.
Given,
Data of 24 students eating vegetables in the frequency table.
The data is quantitative.
Histograms are visual displays of frequencies using columns plotted on a graph. The Y-axis (vertical axis) generally represents the frequency count, while the X-axis (horizontal axis) generally represents the variable being measured.
Hence, Histogram will be used to represent the data.
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Jane is choosing between two exercise routines. In Routine # 1, she burns 22 calories walking. She then runs at a rate that burns 5.75 calories per minute. In Routine #2, she does only running, burning 8.5 calories per minute. For what amounts of time spent running will Routine #1 burn at least as many calories as Routine #2? Use t for the number of minutes spent running, and solve your inequality for t.
Answer: 3.8 minutes!
Step-by-step explanation:
The answer is 3.8 minutes. To solve for t, we need to set up an inequality where the calories burned in routine #1 is equal to or greater than the calories burned in routine #2. We can write this as 22 + 5.75t ≥ 8.5t. Then, we can subtract 8.5t from both sides to get 22 ≥ -2.75t. Finally, we can divide both sides by -2.75 to get t ≤ -8/2.75, which simplifies to t ≤ 3.8. Therefore, Jane needs to run for 3.8 minutes in Routine #1 in order to burn at least as many calories as Routine #2.
Answer:
Jane needs to run for 8 minutes or less in Routine #1 for it to burn at least as many calories as Routine #2. If she runs for more than 8 minutes in Routine #1, then Routine #2 will burn more calories.
Step-by-step explanation:
In Routine #1, the total number of calories burned is:
C1(t) = 22 + 5.75t
The first term represents the calories burned while walking, and the second term represents the calories burned while running.
In Routine #2, the total number of calories burned is:
C2(t) = 8.5t
This represents the calories burned while running, as there is no walking in Routine #2.
We want to find the values of t for which C1(t) is greater than or equal to C2(t). So we can set up the following inequality:
C1(t) ≥ C2(t)
Substituting the expressions for C1(t) and C2(t), we get:
22 + 5.75t ≥ 8.5t
Simplifying the inequality, we get:
22 ≥ 2.75t
Dividing both sides by 2.75, we get:
t ≤ 8
So Jane needs to run for 8 minutes or less in Routine #1 for it to burn at least as many calories as Routine #2. If she runs for more than 8 minutes in Routine #1, then Routine #2 will burn more calories.
Please can someone Graph Y=-x+6
Answer: (0,6), (1,5), (2,4), (3,3)
Step-by-step explanation:
I don't think I can add a picture but I can give you points and you can just draw a line through all of them
(0,6), (1,5), (2,4), (3,3)
If you want to, you can use a graphing calculator and just put the equation in. If you don't have an actual graphing calculator, I recommend using desmos online graphing calculator because it works really well.
Write the fraction as a decimal. Is it terminating or repeating?
7/9
Answer:
This is Non-terminating
decimal: 0.777
Step-by-step explanation:
what is probability of not rolling a red marble, there are 3 red and 6 blue
Answer:
47% for rolling a blue and 33% for rolling a red
Step-by-step explanation:
An equilateral triangle shares a single side with a kite to form a new
quadrilateral, as shown below.
Calculate the size of angle p.
Give your answer in degrees (°).
Answer:
<P = 41
Step-by-step explanation:
we can consider this first figure as a quadrilateral and the trianlgle attached to be is equilateral triangle (as it is already shown in the figure that sides are equal)
we know that each angle of equalateral triangle is 60°
we can see that angle 79° is attached to it and even other angle is also attached
let the other angle be x
we can notice that x and the angle of equi triangle make a linear pair
so 180 - 60
= 120°
the opposite angle to the angle x will be also equal as angles on the same side of qual sides will be equal
now we know that total angle sum of quadrilateral is 360°
so
79 + 120 + 120 + <P = 360
319 + <P = 360
<P = 360 - 319
<P = 41
AB= Round your answer to the nearest hundredth.
The length of the side AB in triangle ABC is 6.58 units.
What are trigonometric ratios in terms of a right-angle triangle?
We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
From the given figure we can conclude that we have length of the adjacent
with an angle of 20° and we have been asked to find the hypotenuse.
We know cos = adjacent/hypotenuse.
∴ cos20° = adjacent/7.
0.937 = adjacent/7.
adjacent = 7*0.937.
adjacent = 6.58.
Hence , the length of the side AB in triangle ABC is 6.58 units.
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I need the Code because I don’t know what I’m doing I just need the Code plssss
Answer: 2.3716 <-------- This is the Code
Step-by-step explanation:
1.4 x 2.5 = 3.5
2.2 x 2.5 = 5.5
1.4 x 0.2 = 0.28
2.2 x 0.2 = 0.44
3.5 x 0.28 = 0.98
5.5 x 0.44 = 2.42
Then:
X 1.4 2.2
2.5 3.5 5.5
- x - - x -
0.2 0.28 0.44
- = - - = -
0.98 x 2.42 = 2.3716 <-------- This is the Code
3x-6= 5x - 2
Based on the equation above, what is the value of
2x-4?
A) -8
B) -2
C) 2
D) 6
The value of the expression is -8. Option A
How to determine the value
It is important to note that algebraic expressions are expressions that are made up of variables, terms, coefficients, constant and factors.
From the information given, we have that;
3x-6= 5x - 2
collect like terms
3x - 5x = -2 +6
subtract the like terms
-2x = 4
Make 'x' subject
x = -2
Substitute the value in the equation
2x - 4
2(-2) - 4
expand bracket
-8
Hence, the value is -8
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One serving of pasta salad needs a cup of macaroni. How many 1/3 servings can I make with a cup of macaroni? 5/6
Answer: You can make 5/3 * (1/1) = 5 servings with a cup of macaroni.
And, with 5 servings, you can make 5 * (3/1) = 15 1/3 servings of pasta salad.
Step-by-step explanation:
A rectangle rug has an area of 500 square inches. The width of the rug is 20 inches. How many inches long is the rug?
Answer:
Step-by-step explanation:
Answer: 25 inches
Step-by-step explanation:
The equation for area of a rectangle is Length x Width, since we have the width which is 20 in., we can multiply it by a variable and set it equal to 500.
20(b)=500
divide both sides by 20
b=25
Which algebraic expression is equivalent to the expression below? 3(5x + 7) – 6(4 – 2x)
1. 12x + 3
2. 27x - 12
3. 27x - 3
4. 12x + 17
which one is correct
If Allie wants to give each of her classmates 3 pencils and the pencils come in packs of 8, and her class has 26 kids and it , how many packs of pencils does she need
Answer:
10 packs
Step-by-step explanation:
Allie wants to give each of her classmates 3 pencils, so she needs a total of 3 pencils * 26 classmates = 78 pencils.
The pencils come in packs of 8, so she needs 78 pencils / 8 pencils per pack = 9.75 packs of pencils.
Since you can't buy a fraction of a pack, Allie needs to buy 10 packs of pencils.
The numerical value of standard deviation can never be______
The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.
The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.
Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.
Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Draw the resulting image after the given triangle is rotated 90° counterclockwise about the origin.
Drawing Tools
Select
Point
Line Segment
Click on a tool to begin drawing
Reset
<+
Delete Undo
10
The triangle is rotated 90° counterclockwise about the origin shown below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
we have to rotate 90° counterclockwise about the origin.
as, the rule for 90° counterclockwise about the origin is (x, y) becomes
(-y, x).
As, the coordinates after rotation are :
(-8, 3)---> (-3, -8)
(-2, 8)---> (-8, -2)
(-5, 7) -----> (-7, -5)
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What is 4 2 1 rule ?
The 4-2-1 rule is a guideline used to help determine the amount of water an individual needs to drink each day.
The rule states that an individual should drink 4 liters of water for every 50 pounds of body weight, 2 liters of water for every 50 pounds of body weight if they are exercising, and 1 liter of water for every 50 pounds of body weight if they are in a hot or dry environment.
To calculate how much water you need to drink using the 4-2-1 rule, simply follow these steps:
1. Determine your body weight in pounds.
2. Divide your body weight by 50 to get the number of 50-pound increments in your weight.
3. Multiply the number of 50-pound increments by 4 to get the amount of water you need to drink if you are not exercising or in a hot or dry environment.
4. Multiply the number of 50-pound increments by 2 to get the amount of water you need to drink if you are exercising.
5. Multiply the number of 50-pound increments by 1 to get the amount of water you need to drink if you are in a hot or dry environment.
6. Add the amounts from steps 3, 4, and 5 together to get the total amount of water you need to drink each day.
For example, if you weigh 150 pounds, you would need to drink 4 liters of water for every 50 pounds of body weight (150 / 50 = 3), 2 liters of water for every 50 pounds of body weight if you are exercising (3 x 2 = 6), and 1 liter of water for every 50 pounds of body weight if you are in a hot or dry environment (3 x 1 = 3). Therefore, you would need to drink a total of 13 liters of water each day (4 + 6 + 3 = 13).
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ASAP PLEASEEEEE WILL GIVE 50/60 POINTS
A rectangular prism is shown. The base of the prism is a square. The length of the diagonal from top corner A to opposite bottom corner B is 2 feet.
Determine the exact length of the box in inches.
answer choices :
414
495
The length of the rectangular prism is 20.35
How to solve for the length of the boxThe diagonal of the base is calculated using Pythagoras theorem. This is a side that will use to find the length of the box.
The diagonal A - B given as 2 feet = 24 inches is the hypotenuse while solving for the length of the prism
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 9² + 9²
x² = 81 + 81
x = √162
x = 12.728
The length of the rectangular prism is solved as follows
let y be the required distance
24² = y² + 12.728²
y² = 24² - 12.728²
y = √413.998
y = 20.35 in
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How do you find the limit of one side?
One must evaluate the function as the independent variable gets closer to the point from the provided side.
So in order to determine the limit of a function at a point from one side, one must evaluate the function as the independent variable gets closer to the point from the provided side. Take the subsequent function, for instance: scss. Copy the code f(x) = (x2 - 4) /. (x - 2)
You can evaluate the function for x values that are getting closer to 2 but always greater than 2 in order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth. The function values will approach the target value as x approaches 2, which is 2. In order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth.
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Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.
1. The beginning balance of Office Supplies:
2. The amount to be adjusted (show your calculation):
3. The ending balance of the account after the adjustment (show your calculation):
4. Adjusting Journal Entry (please include description):
1.The beginning balance should be $4,000
2.The amount to be adjusted is $2554
3.The ending balance of the account after the adjustment $2554
4. Office Supplies Account is $14846
"Information available from the question"
The Office Supplies account started the year with a $4,000 debit balance
The company purchased supplies for $13,400,
The inventory of supplies available at the end of the year totaled $2,554.
Now, According to the question:
1. The beginning balance should be $4,000
2.The adjusted amount is
Opening balance = 4000
Add: New purchases = 13400
Balance after Purchase = 17400
Less: Year end balance = 2554
3. The ending balance is $2,554
4. The adjusting journal entry is
Dr. Supplies Expense Account is 14846
Adjustment in the year = Cr. 14846 (subtracted from the balance)
Office Supplies Account is 14846
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