Answer: 320 Liters of water were used.
Step-by-step explanation:
Tickets to the zoo cost $12 for adults and $8 for students. The school has a budget
of $240 to buy tickets for this field trip. An equation representing this situation is is
12x + 8y = 240. The graph for this situation is shown below.
Use the EQUATION and/or GRAPH to answer the following questions.
A Can 16 adults and 6 students attend this trip? Explain/Show your reasoning.
B. If no adults attend the field trip, how many students can go? Explain/Show your
reasoning.
C. If 18 students attend the field trip, how many adults can go? Explain/Show your
reasoning
D. Using the equation provided, SHOW each step to SOLVE for y.
E What are the Y-INTERCEPT and what does it mean?
F. What are the SLOPE and what does it mean?
Answer:
a) yes
b)30
c)8
Step-by-step explanation:
Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26
The values for numbers #21 through #26 are as follows:
#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397
#21: 2.33% (arithmetic mean as a fraction: 0.0233)
#22: $56.4842 (result of the calculation)
#23: 1.85% (geometric mean as a fraction: 0.0185)
#24: $56.4148 (result of the calculation)
#25: 3.64% (continuous mean as a fraction: 0.0364)
#26: $57.4397 (result of the calculation)
To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.
#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.
#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.
#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.
#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.
#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.
#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.
Hence, the values for numbers #21 through #26 are as calculated above.
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can someone help me and solve the following equation showing work please?
thank you!
The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. The measure of the angle θ will be 45°.
What are an arc and subtended angle theorem?According to the arc and subtended angle theorem, The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle.
The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. Therefore, the measure of the angle θ will be half the measure of the ∠P.
As it can be observed the measure of the angle ∠P is 90°, therefore, the measure of the angle θ can be written as,
∠P = 2 × ∠θ
90° = 2 × ∠θ
∠θ = 45°
Hence, the measure of the angle θ will be 45°.
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A narrow underground excavation with a depth greater than the width, but no wider than 15 is called:__________.
a. trench excavation
b. excavation
c. tunnel
d. borrow pit
e. none of the above
The correct answer is c. tunnel. A narrow underground excavation with a depth greater than the width, but no wider than 15 is called a tunnel.
Tunnels are commonly used for transportation purposes, such as road or railway tunnels, as well as for utilities like water or sewage systems. They are also used in mining operations to access underground resources.
Tunnels are different from trench excavations, which are narrow excavations that are typically used for utility installations or drainage purposes.
Excavation is a broader term that refers to any process of digging or removing earth or rock.
A borrow pit, on the other hand, is an excavation where soil, sand, or gravel is taken from to be used in construction projects.
So, the correct term for a narrow underground excavation with the given characteristics is a tunnel.
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A train leaves the station at time t=0. Traveling at a constant speed, the train travels 380 kilometers in 3 hours. The function that relates the distance traveled d to the time t is?
Answer:
.
Step-by-step explanation:.
What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?
HELP ASAP
Answer: 20
Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.
6 x 3 = 18 feet plus the 2 extra = 20 feet
State whether each of the following statement is true or false. Justify your answer.
(i) {2,3,4,5} and {3,6} are disjoint sets.
(ii) {a,e,i,o,u} and {a,b,c,d} are disjoint sets
(iii) {2,6,10,14} and {3,7,11,15} are disjoint sets
(iv) {2,6,10} and {3,7,11} are disjoint sets
The answer is (i) The statement is False, (ii) The statement is false, (iii) The statement is true, (iv) The statement is true.
(i) Let A = {2, 3, 4, 5} and B = {3, 6}
Now A∩B
= {2, 3, 4, 5} ∩ {3, 6} = {3}
Hence, A and B are not disjoint. So the statement is false.
(ii) Let A = {a, e, i, o, u} and B = {a, b, c, d}
Now A∩B
= {a, e, i, o, u} ∩ {a, b, c, d}= {a}
Hence, A and B are not disjoint. So the statement is false.
(iii) Let A = {2, 6, 10, 14} and B = {3, 7, 11, 15}
Now, A∩B
= {2, 6, 10, 14} ∩ {3, 7, 11, 15} = Φ
Hence, A and B are disjoint sets. So the statement is true.
(iv) Let A = {2, 6, 10} and B = {3, 7, 11}
Now A∩B
= {2, 6, 10} ∩ {3, 7, 11} = Φ
Hence, A and B are disjoint sets. So the statement is true.
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Expand and simplify 5(2x – 1) + 2(3x – 6)
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
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jessica uses a poorly calibrated stopwatch to note the finish time of a relay race. she noted the time as 125 seconds, whereas the actual time taken was 120 seconds. the percent error in jessica's calculation is .
The percent error in Jessica's calculation is 4.17%.
To calculate the percent error in Jessica's calculation, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100
Given that Jessica's measured value was 125 seconds and the actual value was 120 seconds, we can substitute these values into the formula:
Percent Error = (|125 - 120| / 120) * 100
Simplifying further:
Percent Error = (5 / 120) * 100
Percent Error = 0.0417 * 100
Percent Error = 4.17%
This means that Jessica's recorded time of 125 seconds differs from the actual time of 120 seconds by approximately 4.17% in relative terms. The positive sign indicates that Jessica's recorded time was greater than the actual time.
Percent error is a way to quantify the discrepancy between a measured value and the true value. It provides a measure of the accuracy of a measurement or calculation, allowing us to understand the degree of error or deviation involved.
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colton is skiing on a circular ski trail that has a radius of 0.6 km. colton starts at the 3-o'clock position and travels 2.5 km in the counter-clockwise direction. how many radians does colton sweep out? radians how many degrees does colton sweep out? degrees when colton stops skiing, how many km is colton to the right of the center of the ski trail? km when colton stops skiing, how many km is colton above the center of the ski trail? km
1. 4.167 radians does colton sweep out.
2. 238.1° degrees does colton sweep out.
3. 0.344 km is colton to the right of the center of the ski trail.
4. 0.139 km is colton above the center of the ski trail.
Question analysis Colton is skiing on a circular ski trail with a radius of 0.6 km.
Colton starts at the 3-o'clock position and travels 2.5 km in the counterclockwise direction.
There are four parts to this question: How many radians does Colton sweep out.
Radians refer to the distance covered by the object in circular motion around the circumference.
We can determine this using the formula:
θ = s / r
Where θ is the angle in radians, s is the length of the arc, and r is the radius of the circle.
Substituting the given values,θ = 2.5 km / 0.6 km= 4.167 radians.
Degrees does Colton sweep out:
We know that 180° = π radians
So, we can convert radians to degrees by multiplying it by
180° / πθ = 4.167 radians x (180° / π) ≈ 238.1°
When Colton stops skiing, how many km is Colton to the right of the center of the ski trail.
The displacement of the skier from the center is the same as the horizontal distance.
We can use trigonometry to calculate this distance.
From the given position, we know that Colton has travelled 2.5 km along the circumference of the circle.
This is equivalent to the angle swept by Colton (4.167 radians) multiplied by the radius of the circle (0.6 km).Using trigonometry, we can determine the horizontal distance as:
d = r cos(θ)
Where d is the horizontal distance, r is the radius, and θ is the angle swept by Colton.
d = 0.6 km x cos(4.167)≈ 0.344 km.
When Colton stops skiing, how many km is Colton above the center of the ski trail?The vertical distance from the center of the circle can be calculated using trigonometry.
We can use the same method as above to calculate the vertical distance as:
v = r sin(θ)
Where v is the vertical distance, r is the radius, and θ is the angle swept by Colton.
v = 0.6 km x sin(4.167) ≈ 0.139 km
Colton sweeps out 4.167 radians ≈ 238.1°.
When Colton stops skiing, he is to the right of the center of the ski trail by ≈ 0.344 km.
When Colton stops skiing, he is above the center of the ski trail by ≈ 0.139 km.
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#24 A particular cell in Excel is referred to by it's cell name,
such as D25. The D refers to the ______?
#32
The correct way to enter a cell address (for cell D3) in Excel
when you want the row to al
#24: The "D" in the cell name D25 refers to the column identifier in Excel.
#32: To enter a cell address in Excel, specifically for cell D3, when you want the row to always remain the same, you use the dollar sign ($) before the row number. So, the correct way to enter the cell address D3 while keeping the row fixed is "$D$3". By adding the dollar sign before both the column letter and the row number, the cell reference becomes an absolute reference, meaning it will not change when copied or filled down to other cells.
This is useful when you want to refer to a specific cell in formulas or when creating structured references in Excel tables.
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Is line used to define an angle?
Yes, line is used to define an angle.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The common point is referred to as the vertex.
The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.
A straight line is a straight angle.
Therefore, two lines are used to define an angle.
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What is the solution of |x-2|>-3? Explain.
Answer:
x-2>-3
x>-3+2
x<-1
Step-by-step explanation:
qhen you get this type of question remove the bracket from there and write x-2>-3 after that you will move -2 to -3 so when you move it the symbol negative will change to positive the you will subtract positive 2 from the -3 and your answer will be x<-1
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
Answer:
So if 25% of the people go to work by bicycle then that means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
Step-by-step explanation:
The odds against selecting someone who commutes by bicycle are 75%
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town.
25% of the people go to work by bicycle then which means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
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Find the product.
(-3ab2)3
-27 a3b6
-9 a3b5
-23 a2b2
27 ab
Answer:
a) -27 a³ b⁶
Step-by-step explanation:
Explanation:-
Given ( -3 ab² )³
By using (ab )ⁿ = aⁿ bⁿ
( -3 ab² )³ = (-3)³ a³ (b²)³
Again , using formula \((a^{m} )^{n} = a^{mn}\)
= -27 a³ b⁶
NEED HELP ASAP!!!Quadrilateral ABCD has diagonals AC and BD.
Determine whether AC is perpendicular to BD. Explain.
It should be noted that AC is perpendicular to BD.
How to explain the informationGiven A (0,4), B(1,2) and C(4,6)
AB (Slope of AB) = 2-4/1 = -2
BC (slope of BC) = (6-2/4-1) = 4/4
MAC (Slope of AC) = 6-4 /4 - 0= 1/2
AB × AC = -1
In this case, it should be noted that the are perpendicular as the slopes are -1 and -1/2 whch indicate the negative reciprocals.
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what is the name of the relationship between ∠1 and ∠4?a. corresponding angles
b. alternate interior angles
c. obtuse angles
d. adjacent angles
The name of the relationship is b. Alternate interior angles.
Alternate interior angles are two angles that are located on opposite sides of a transversal line, but within the same two lines. When two lines are cut by a transversal line, the alternate interior angles are always congruent, meaning that they have the same measure.
In this case, angles ∠1 and ∠4 are alternate interior angles. Alternate interior angles are formed when two parallel lines are cut by a transversal line. When this happens, corresponding angles are formed on the same side of the transversal.
The alternate interior angles are the two angles that are on opposite sides of the transversal. These angles are also congruent, meaning that they have the same measure.
To summarize, alternate interior angles are two angles that are located on opposite sides of a transversal line and within the same two lines. In this case, angles ∠1 and ∠4 are alternate interior angles, meaning that they have the same measure.
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Find the measure of the arc.
C
D
A
1469
E
B
MAB = [ ? ]°
Answer:
146 since the angle is a central that its measure is equal to the arc
=Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
−22
–4
2
32
Answer:
The correct answer is -4.
Step-by-step explanation:
have a good day yall
Evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).
How do you Evaluate a Function?To evaluate a function, plug in the given value of the input (x) and simplify.
Thus:
f(x) = –2x² – 3x + 5
Substitute x = -3 into the function
f(-3) = –2(-3)² – 3(-3) + 5
f(-3) = -2(9) + 9 + 5
f(-3) = -4
Therefore, evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).
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Which of the following is closest to 1/2 + 1/3?
Answer:
c
Step-by-step explanation:
1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8
PLEASE HELP!! I NEED THIS ASAP
Step-by-step explanation:
look at the graph !
there is an explicit horizontal limit line at y = -1.
no such vertical line for a limit for x.
as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.
so, D is the right answer.
when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.
when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).
your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores
Answer: -13 and 64
ghjfgkhkf
Answer:
The lowest score was -13, and the highest score was 73.
Explanation:
No explanation needed.
I don't get it please help it's for math ASAP please help
A truck carrying 8.37 pounds of sand travels to a construction yard and loses 1.9 pounds of sand along the way. How much sand does the truck have when it arrives at the yard
Answer:
6.47 lbs.
Step-by-step explanation:
Honestly I can't tell if there is something missing from this problem (like a variable, or some kind of rate as in the truck loses 1.9 lbs of sand per mile or whatever) or if it's just straight subtraction.
8.37-1.9 = 6.47 lbs.
The price of the radio was $14. The sales tax was 3.5%.
What was the total cost of the radio, including the sales
tax?
Answer:
14.49
Step-by-step explanation:
14 * 0.035 = 0.49
14 + 0.49 = 14.49
Be a kind soul and help me out please
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
The amount of a certain medication that should be given to a dog is described by the equation g = 0.2w, where g is the amount of medication in grams that should be given to a dog that weighs w pounds. How much medication should be given to a dog that weighs 60 pounds?
Answer:
12 grams
Step-by-step explanation:
\(g=0.2w\)
\(g=0.2(60)\) <-- Substitute w=60
\(g=12\)
So, a 60-pound dog should be given 12 grams of medication.
pleaseee help im really confused
you are shopping for a Nintendo Switch and you have a choice to make. You can pay $420 and add 10% for shipping or pay $400 and add 20% for shipping. Which costs less?
Answer:
420 x .1 = 42
420 + 42 = 462
400 x .2 = 80
400 + 80 = 480
The first one is cheaper