Answers
On solving the provided question, we cans ay that in this triangle by Pythagorean theorem [tex]A^2 = B^2 + C^2[/tex] => AC = [tex]\sqrt{115}[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here, in this triangle by Pythagorean theorem
[tex]A^2 = B^2 + C^2[/tex]
AC = [tex]\sqrt{14^2 - 9^2}[/tex]
AC = [tex]\sqrt{196 - 81}[/tex]
AC = [tex]\sqrt{115}[/tex]
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Related Questions
a Find: i the number of games played Goals 0 1 2 3 4 5 6 7 8
Frequency 6 11 5 11 4 0 2 0 1
ii the mode iii the median
iv the mean number of goals.
b Maha asked: ‘What is the average number of goals?’
Which would be the best average to use to answer this question? Give a reason for your answer.
Answers
1) The mean of the data is 4.45.
2) The mode of the data is 11.
3) The median of the data is 4.
What are the mean, mode, and median?The mean of the data is the ratio of the sum of the given data and the number of the count of the data.
The mode of the data is the number that is repeated maximum number of times. The median of the data is when the data is arranged in an increasing order then the middle most value will be the median of the data.
Given data is 6 11 5 11 4 0 2 0 1.
The mean of the data is,
Mean = ( 6 + 11 + 5 + 11 + 4 + 0 + 2 + 0 + 1 ) / 9
Mena = 4.45
Mode = 11
Median:- 0,0,1,2,4,5,6,11,11
Median = 4
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Suppose that a motorboat is moving at ​ft/s when its motor suddenly​ quits, and that s later the boat has slowed to ​ft/s. assume that the resistance it encounters while coasting is proportional to its​ velocity, so that ​dv/dtkv. How far will the boat coast in​ all?
Answers
the boat will coast for a distance of 400 ln(2) ft, which is approximately 277.3 ft.
To find how far the boat will coast, we need to use the concept of differential equations. The equation that describes the velocity of the boat at any time "t" after its motor quits is given by:
dv/dt = -k*v
where "v" is the velocity of the boat at time "t", "k" is the proportionality constant, and the negative sign indicates that the velocity is decreasing with time.
We can solve this differential equation to obtain the velocity of the boat as a function of time:
v(t) = v(0) * e^(-k*t)
where "v(0)" is the initial velocity of the boat (40 ft/sec).
Using the given information, we can set up two equations:
v(10) = 20 (velocity after 10 sec)
v(0) = 40 (initial velocity)
Plugging these values into the equation, we get:
20 = 40 * e^(-10k)
Solving for "k", we get:
k = ln(2)/10
Now, we can integrate the velocity equation to find the distance the boat travels during the coasting period:
d = [tex]\int\limits^{\infty}_{10} {v(t)} \, dt[/tex]
Plugging in the values, we get:
d = (40/k) * [e^(-k*10) - 0] = 400 ln(2) ft
To explain the solution, we used the concept of differential equations to model the motion of the boat as it coasts after its motor quits. We used the given information to solve for the proportionality constant "k", which allowed us to find the velocity of the boat at any time.
Finally, we integrated the velocity equation to find the distance the boat travels during the coasting period. The key to this problem was using the concept of differential equations to model the motion of the boat and setting up the appropriate equations to solve for the unknowns.
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Complete question is:
Suppose that a motorboat is moving at 40 ft/sec when its motor suddenly quits, and then 10 sec later the boat has slowed to 20 ft/sec. Assume, that the resistance it encounters while coasting is proportional to its velocity. How far will the boat coast in all?
When buying a car Esther can choose a 2 door or 4-door car with leather or cloth interiors in black,silver, or white
Answers
The number of possible combinations are 12.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Given that, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white.
Now, C(3, 1)×C(2, 1)×C(2, 1)
= 3×2×2
= 12
Therefore, the number of possible combinations are 12.
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"Your question is incomplete, probably the complete question/missing part is:"
When buying a car, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white. How many possible combinations of her car selection?
gwen has £7 a litre of cola costs £1.25 gwen buys as much as literes as she can. how much money does she have left?
Answers
Gwen has £0.75 money left over, as per linear equation if a litre of cola costs £1.25.
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
It is given that Gwen has a £5 note and a £2 coin.
Therefore, she has a total of £(5 + 2) = £7
A liter of cola costs £1.25.
Therefore, (7 ÷ 1.25) = 5.6
Therefore, Gwen can buy a total of 5 liters of cola.
Now, Gwen has left money of £[7 - (5 × 1.25)] = £0.75
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Complete question is:
Gwen has a £5 note and a £2 coin
a litre of cola cost £1.25
gwen buys as many liter bottles of cola as she can
how much money will she have left over
Find the perimeter of a rectangle whose length and breadth are 150 cm and 2 m respectively.
Answers
Step-by-step explanation:
150x 2m =300 m4679096x 56885666-1480+(34464757/suppose there are three cards, a, b, and c. two of them will be drawn one by one with replacements. what is the probability of getting (a, b), i.e. the first card is a and the second card is b?
Answers
the probability of getting (a, b), i.e. the first card is a and the second card is b is 2/3 by conditional probability.
The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is computed by dividing the likelihood of the earlier occurrence by the likelihood of the subsequent, or conditional, event.
This is where the independent event and dependent event notion is used. Consider a student who misses class twice each week, omitting Sunday. What are the possibilities that he will take a leave of absence on Saturday of the same week if it is known that he will be absent from school on Tuesday? It has been noted that situations where the outcome of one event influences the outcome of a subsequent event are termed as conditional probability
We can work this out directly from the definition of conditional probability,
[tex]P(G_1|G_2)=P(G_1nG_2)/(P(G_1)[/tex]
Exactly one of the three cards has sides, so
P(G1∩G2)=1/3
and P(G1)=1/2
THEN
the probability of getting (a, b), i.e. the first card is a and the second card is b IS = 1/3÷1/2 = 2/3
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write an expression for a triangle where side 1 is an unknown length . side 2 is twice side 1 and side 3 is 4 centimeters longer than side 1 .
Answers
Answer:
Let's call the length of side 1 "x". Then, the length of side 2 is 2x, and the length of side 3 is x + 4. So, the expression for the three sides of the triangle can be represented as:
x + 2x + (x + 4) = 3x + 4
This expression represents the sum of the lengths of all three sides of the triangle.
Step-by-step explanation:
Answer: x+2x+(4+x)
Step-by-step explanation:
since side one is unknown, we can substitute it with variable x, and side two is twice as much as side one so we do 2x, and side three is four cm longer than side one so we do 4+x at the end
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. If you return an item that has an original price of $180, how much is the restocking fee?
Answers
An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. The restocking fee for an item priced at $180 is $10.
To solve this problem, we need to use a proportion to relate the item price to the restocking fee. The problem provides two pairs of corresponding item prices and restocking fees: $200 and $12, and $150 and $9. We can set up a proportion using these pairs:
$200/$12 = $150/$9
We can simplify this proportion by dividing both sides by 3:
$200/$4 = $150/$3
Now we can use the simplified proportion to find the restocking fee for an item priced at $180. We'll use cross-multiplication:
$200 x $3 = $150 x $4
$600 = $600
This tells us that the ratios are equivalent, and the restocking fee for an item priced at $180 is $10.
In other words, the restocking fee is proportional to the item price, and we can use the given pairs of prices and fees to find the fee for any given price using a proportion.
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The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
Both h and k must be positive.
Both h and k must be negative.
h must be positive and k must be negative.
h must be negative and k must be positive.
Answers
On solving the provided question we can say that from the graphs,
y = f(x) = |x| and g(x) = |x-h| + k
What is graphs?Mathematicians use diagrams to logically bring facts or values using visual representations or charts. A graph point usually reflects a contact between two or more things. Nodes or vertices and corner form a graph, which is a nonlinear data construction. We often glue knots together called vertices. This graph has vertices V=1, 2, 3, 5 and edges E=1, 2, 1, 3, 2, 4 and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) are graphical representations of expanding growth. Logarithmic graph in the format of a triangle
from the graphs,
y = f(x) = |x|
y = f(x) + k
y = f(x+h)
g(x) = |x-h| + k
now, it will be
k>0 and h<0
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The Lupines, a family of werewolves, are heading off for a vacation in the woods of Transylvania. Uncle Harry Lupine has rented a total of 12 horror movie videos and gory games on CDs to amuse the kids, Freddy and Lenore, on the trip. The kids want to know how many games and movies they have. Uncle Harry wants Freddy and Lenore to do some math on the trip, so he tells them, "Games rent for $4. 50 each and movies for $3. 99 each. The total was $49. 92 before tax. Now you can figure out the answer. "
Answers
Uncle Harry rented 4 games, and using that he also rented 8 movies.Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
What is word problem?
A word problem is a type of mathematical problem that is presented using words instead of or in addition to mathematical symbols and equations. Word problems often describe a real-world scenario or situation, and they require the solver to use math skills and critical thinking to identify the relevant information, determine the mathematical operation or operations required, and arrive at a solution to the problem.
Let's assume that the number of movies Uncle Harry rented is "m" and the number of games is "g". We want to find the values of "m" and "g".
From the problem statement, we know that:
The total number of movies and games rented is 12: m + g = 12
The cost of each movie is $3.99: 3.99m
The cost of each game is $4.50: 4.5g
The total cost before tax is $49.92: 3.99m + 4.5g = 49.92
We can use the first equation to express "m" in terms of "g":
m = 12 - g
Substituting this expression for "m" in the second equation, we get:
3.99(12 - g) + 4.5g = 49.92
Expanding the brackets and simplifying, we get:
47.88 - 3.99g + 4.5g = 49.92
0.51g = 2.04
g = 4
So Uncle Harry rented 4 games, and using the first equation, we find that he also rented 8 movies.
Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
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one card is randomly selected from a standard deck of 52 cards. what is the probability of randomly selecting a(n) jack or 4? enter your answer as a reduced fraction.
Answers
the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13.
In a standard deck of 52 cards, there are four jacks and four 4s, for a total of 8 cards that are either a jack or a 4. The probability of selecting a jack or 4 can be found by dividing the number of favorable outcomes (8) by the total number of possible outcomes (52): P(jack or 4) = 8/52. This fraction can be reduced by dividing both the numerator and denominator by 4: P(jack or 4) = 2/13. Therefore, the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13. Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in a wide range of fields, from gambling and sports to scientific research and data analysis. Understanding probability is important for making informed decisions, predicting outcomes, and assessing risks.
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The robotics club has a budget of
$400. They spent $180 on
equipment. What percent of their
budget was spent on equipment?
Answers
Can someone help me with this question i dont get it
Answers
Answer:
Step-by-step explanation:
The equation connects m and n.
Suppose n=1,
m=3/1=3.
If n=2,
m=3/2=1.5
If n=3,
m=3/3=1. This shows that as n increases, m decreases.
If m was equal to 1,
1=3/n
Thus n=3.
If m=2,
2=3/n
n=1.5
If m=3,
3=3/n
n=1.
This also shows that as m increases, n decreases.
Hope this helps :)
Answer:
When I increased n, m decreased.
When I increase m, n decreases
Step-by-step explanation:
Let's say that m is one and n is 3
1 = [tex]\frac{3}{3}[/tex] Us this as our base to compare increasing m and n.
Increase n to 6
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
When I increased n, m decreased.
Increase m to 3
3 = [tex]\frac{3}{1}[/tex]
When I increase m, n decreases
I really need help, please help me!
Answers
100/9.75= 10.26 m/s
200/19.5= 10.26 m/s
Determine whether the pair of figures is similar. If so, find the scale factor. Explain your reasoning.
OA) no; ZBCD # ZFCG
OB) no; BD #CO
OC) Yes: A BDC-A FGC because ZB
OD) Yes: A BDC-A FGC because ZB
4
LO
ZF. ZD
ZF. ZD
5
D 3
C
25
5
20
BD
ZG. ZBCD ZFCG, and C=
FG
ZG, ZBCD = ZFCG, and
BD
=
DC
CB
Answers
The pair of figures is similar by SSS
How to determine if the pair of figures is similarThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Triangles BDC and FGC
When the side lengths of the triangle are compared, we have:
Side lengths of FGC are 5/3 multiplied by the side lengths of BDC
This means that the triangles are similar
And the similarity statement is SSS
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for a subset of patients it has been shown that a certain type of skin lesion will develop into cancer in 34% of patients if left untreated. there is a drug on the market that currently reduces this event rate to 28%. a pharmaceutical company is developing a new drug to treat these lesions but this would be worthwhile only if the new drug can reduce this further to 23%. in planning for a randomized clinical trial, how many evaluable participants are needed to have 80% power to detect a difference of 28% and 23% in the progression to cancer between the current and new drug?
Answers
At least 174 participants for the clinical trial, with half of them assigned to the current drug group and half assigned to the new drug group.
To answer this question, we need to consider some statistical concepts. The event rate, or the percentage of patients who progress to cancer, is a key factor in this scenario. The current drug has an event rate of 28%, while the new drug is expected to reduce this further to 23%. We want to detect a difference between these two rates, which is 5 percentage points.
The power of a statistical test is the probability of detecting a true difference between two groups, given that such a difference exists. In this case, we want the power to be at least 80%, which means that we want to have an 80% chance of detecting a true difference of 5 percentage points between the current and new drugs.
To calculate the sample size needed for the clinical trial, we need to consider the expected event rates, the desired power, and the level of statistical significance. The level of significance is typically set at 5%, which means that we are willing to accept a 5% chance of making a type I error (i.e., rejecting the null hypothesis when it is actually true).
Assuming a two-sided test (i.e., testing for a difference in both directions), we can use a formula or an online calculator to determine the sample size. The formula is:
n = (Zα/2 + Zβ)² [p₁(1-p₁) + p₂(1-p₂)] / (p₁ - p₂)²
where n is the sample size, Zα/2 is the critical value of the standard normal distribution at the 2.5% level (for a two-sided test), Zβ is the critical value of the standard normal distribution at the desired power (in this case, 80%), p₁ is the event rate for the current drug (28%), p₂ is the event rate for the new drug (23%), and (p₁ - p₂) is the expected difference in event rates.
Plugging in the values, we get:
n = (1.96 + 0.84)² [(0.28)(0.72) + (0.23)(0.77)] / (0.28 - 0.23)²
n = 173.2
Rounding up to the nearest whole number, we get a sample size of 174 participants.
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plssss helppppp
Factor the polynomial.
x³+3x²-x-3
Answers
Answer:
(x-1)(x+1)(x+3)
Step-by-step explanation:
[tex]x^3+3x^2-x-3\\=x^2(x+3)-1(x+3)\\=(x^2-1)(x+3)\\=(x-1)(x+1)(x+3)[/tex]
Answer probability question PLSSSSS
Answers
Answer:a is 3:9 B is 6:9
Step-by-step explanation:
A circular arc has measure 8 ft and is intercepted by a central angle of 2.9 radians. Find the radius r of the circle.
Do not round any intermediate computations, and round your answer to the nearest tenth.
Answers
The radius of the circle is 2.8feet (nearest tenth)
What is length of an arc?Arc length is the distance between two points along a section of a curve.
The length of an arc is expressed as ;
L = (tetha) / 360 × 2πr
L is the length of the arc
tetha is the angle made by the two radii and the arc.
In radian 360° = 2π
therefore ;
8 = 2.9/ 2π × 2πr
8 = 2.9 r
r = 8/2.9
r = 2.76 ft
therefore the radius of the circle is 2.8 feet( nearest tenth) .
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Dani leaves her house at 08 00 she drives 63 miles to work she drives at an average speed of 27 miles per hour at what time does dani arrive at work
Answers
10:40 am
63 mile distance and 27 mph. starting from 8 am
63/27 => 2 (2/3) hours. 2/3 of an hour is also, 40 minutes.
so 8 am plus 2 hours and 40 minutes means 10:40 am
Please read the photo
Answers
The average rate of change over the interval [3,4] is given as follows:
3.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The numeric values for the ends of the interval are given as follows:
f(3) = 29.f(4) = 32.Then the change in the output is of:
32 - 29 = 3.
The change in the input is of:
4 - 3 = 1.
Hence the rate is of:
r = 3/1
r = 3.
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Can someone help me pleaseee :(
Select all the equations where x=3 is a solution
A: x+4=7
B:x/9=3
C: 5-4=2
D:8x=32
E:x-10=7
Answers
Answer:
A
Step-by-step explanation:
A is correct because 3+4 = 7
B is incorrect because 9/3=3 ,not 3/9
There is no x in C
D is incorrect because 8×3=24
E is incorrect because 3-10= -7 (negative)
hope this helped :)
The amount of time required to download a song from Michael's computer to his music player is the same for each song he downloads.
A linear model of this situation contains the values (138 , 96.6) and (238 , 166.6), where x represents the number of songs he wants to download to his music player, and y represents the total amount of time, in minutes, it will take him to download the songs.
What is the rate of change in this linear model?
A.
100 minutes per song
B.
0.35 of a minute per song
C.
1.4 minutes per song
D.
0.7 of a minute per song
Answers
This linear model's rate of change is 0.7 minute per song. This may be computed by subtracting the y-values (166.6 - 96.6) from the x-values (238 - 138).
What is a linear model?A continual dependent variable is described as a function of one or more predictor variables in a linear model. They can assist you in comprehending and forecasting the behavior of complicated systems, as well as analysing scientific, economic, and medical data. Linear regression is a statistical technique for developing a linear equation. Linear functions have a straight line as their graph. There is one independent variable and one dependent variable in a linear function. x is the independent factor, while y is the dependent variable.
A linear equation is so named because plotting the graph of a given linear model yields a straight line.
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Solve the right triangle by completing the table below
Answers
The values for the angle B and the side lengths of the right-angled triangle ABC are B = 41°, a = 9.6 , and b = 8.3 using the trigonometric ratios of sine and cosine of angle 49°.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths. The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangle ABC, we shall calculate for the angle B and side lengths a and b as follows:
A + B + C = 180° {sum of interior angles of a triangle}
49° + B + 90° = 180°
B = 180° - 139°
B = 41°
sin49 = a/12.7 {opposite/hypotenuse}
a = 12.7 × sin49 {cross multiplication}
a = 9.5848
cos49 = b/12.7 {adjacent/hypotenuse}
b = 12.7 × cos49 {cross multiplication}
b = 8.3319
Therefore, the values for the angle B and the side lengths of the right-angled triangle ABC are B = 41°, a = 9.6 , and b = 8.3 using the trigonometric ratios of sine and cosine of angle 49°..
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Julieta is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Math item stem image
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Answers
14-3(8-3)+10=? can someone please answer that for me i keep on getting 11 but its supposed to be 9 i js have to show my work
Answers
what's the slope on the coordinate plane
Answers
Answer: -1/3
Step-by-step explanation:
Slope = Rise/Run
the probability of successfully landing a plane using a flight simulator is given as 0.80. nine randomly and independently chosen student pilots are asked to try to fly the plane using the simulator. (a) what is the probability that all the student pilots successfully land the plane using the simulator? (b) what is the probability that none of the student pilots successfully lands the plane using the simulator? (c) what is the probability that exactly eight of the student pilots successfully land the plane using the simulator?
Answers
(a) The probability that all the student pilots successfully land the plane using the simulator is 43%
(b) The probability that none of the student pilots successfully lands the plane using the simulator is 0.0026%
(c) The probability that exactly eight of the student pilots successfully land the plane using the simulator is 30.1%
Probability is a measure of the likelihood of an event occurring.
(a) What is the probability that all the student pilots successfully land the plane using the simulator?
Probability of all pilots successfully landing
=> 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = 0.43 or 43%
So, the probability that all the student pilots successfully land the plane using the simulator is 0.43 or 43%.
(b) What is the probability that none of the student pilots successfully land the plane using the simulator?
The probability of each pilot failing to land the plane is 0.20. We can use the multiplication rule again to calculate the probability of none of the pilots successfully landing the plane.
Probability of all pilots failing to land = 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 = 0.000026 or 0.0026%
So, the probability that none of the student pilots successfully land the plane using the simulator is 0.0026% or 0.000026.
(c) What is the probability that exactly eight of the student pilots successfully land the plane using the simulator?
where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success in one trial, and nCk is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.
In this case, we have n=9, k=8, p=0.80, and (1-p)=0.20. So, the probability of exactly eight pilots successfully landing the plane is:
P(X=8) = 9C8 * 0.80^8 * 0.20^(9-8) = 0.301 or 30.1%
So, the probability that exactly eight of the student pilots successfully land the plane using the simulator is 0.301 or 30.1%.
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Group 4: A drive in movie charges $15 per car, plus $2 per person as an
admission fee. The total charged for a car with x people is m(x) = 2x + 15.
How will the graph of this function change if the per car charge is changed
to $20 per car?
O
The line will shift vertically down by $5.
O The line will shift vertically up by $5.
O The line will shift horizontally left by $5.
O The line will shift horizontally right by $5.
Answers
Answer:
The graph of the function will shift vertically up by $5.
Step-by-step explanation:
The original function is m(x) = 2x + 15, where x is the number of people in the car. If the per car charge is changed to $20 per car, the new function becomes m(x) = 2x + 20, because the charge per car has increased by $5.
This means that the y-intercept of the new function is 20 instead of 15, which represents the minimum cost for a car, regardless of the number of people inside. So the graph of the new function will be shifted vertically up by $5 from the graph of the original function.
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A room measures 10m by 6m by 3m the volume of airspace needed for one person is 5m3 find the maximum number of person who may use the room at the same time
Answers
The number of persons that can use the room at the same time is 36.
The volume of the cuboid = length x width x height
The room is a cuboid.
Volume of the room = length x width x height
L = 10m, W = 6m, Height = 3m.
Volume = 10 x 6 x 3 = 180 cubic meter.
If each person takes 5 cubic meter of air space,
Then the total person who can occupy the room at the same time is 180/5 = 36.
A cuboid is a three-dimensional geometric shape that is bounded by six rectangular faces, where each face is a parallelogram. It is also known as a rectangular prism. The faces of a cuboid are called its base and lateral faces. The base of a cuboid is the top and bottom rectangular faces, while the lateral faces are the four rectangular faces that connect the base.
Cuboids have eight vertices or corners, where three edges meet, and 12 edges, which are the straight lines that connect the vertices. The length, width, and height of a cuboid are the dimensions of the three pairs of parallel sides of its rectangular faces, and these measurements are usually denoted by l, w, and h, respectively.
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