The table contains data on the number of people visiting a historical landmark over a period of one week. Which type of function best models the relationship between the day and the number of visitors?
A. A quadratic function with a positive value of a
B. A square root function
C. A linear function with a positive slope
D. A quadratic function with a negative value of a
Answers
Hence , it is to be quadratic function where a has to be less than zero.
Given that ,
The table contains data on the number of people visiting a historical landmark over a period of one week.
We have to find,
The relationship between the day and the number of visitors.
According to the question,
[tex]y = a\sqrt{x} + b[/tex]
And where x = no. of days = 1
y = no. of visitors = 45
45 = a [tex]\sqrt{1}[/tex] + b
45 = a + b
And When x = 2 and y = 86
86 = [tex]a\sqrt{2} + b[/tex]
Solving the equation for the values of a and b.
From equation 1
45 - a = b
Put the value of b in equation 2
86 = [tex]a\sqrt{2}[/tex] + 45 - a
86 - 45 = [tex]a \sqrt{2} - a[/tex]
41 = a ([tex]\sqrt{2} - 1[/tex] )
[tex]a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}[/tex]
a = 100
Put the value of a = 100
45 = 100 + b
45 - 100 = b
b = -55
The required equation is y = 100[tex]\sqrt{x}[/tex] -55.
When x = 4
[tex]y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85[/tex]
And when x = 5
[tex]y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60[/tex]
y = 168 ( approx )
Therefore, 168 ≠ 158
Since the function rises less and less in later stage , it can not be a first order function.
So, it is to be quadratic function where a has to be less than zero.
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Related Questions
A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of
the sun?. Draw a right triangle and round to the nearest tenth of a degree.
Answers
Answer:
50.6°
Step-by-step explanation:
The reference angle = angle of elevation [tex] (\theta) [/tex]
Side opposite to the reference angle = 78 ft
Adjacent side = 64 ft
Applying trigonometric ratios formula, we would have:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(\theta) = \frac{78}{64} [/tex]
[tex] tan(\theta) = 1.21875 [/tex]
[tex] \theta = tan^{-1}(1.21875) [/tex]
[tex] \theta = 50.6 [/tex] (nearest tenth)
What makes a system of inequalities different from a
system of equations?
Answers
Answer:
an equation is a mathematical expression that contains an equals sign. It tells us that two expressions represent the same number. For example, y = 12x is an equation. An inequality is a mathematical expression that contains inequality signs.
Step-by-step explanation:
A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck
Answers
Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
Find the missing angle
90
140
130
88
Answers
Answer:
130
Step-by-step explanation:
an triangle= 180 degrees so 180-35-90=50 so p is 50 then 180 -50=130
Answer:
Its 130 mate i did this question before at my old school
Step-by-step explanation:
A customer wants to purchase a sweater from a store.
- The original price of the sweater is $40.
- The sweater is on sale for 10% off the original price.
- The customer has a coupon for 25% off the sale price.
The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?
A) The customer’s claim is correct. The final price of the sweater will be $5.
B) The customer’s claim is correct. The final price of the sweater will be $26.
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
D) The customer’s claim is incorrect. The final price of the sweater will be $30.
Answers
Answer:
400
Step-by-step explanation:
sale for 10% off the original price.
- The customer has a coupon for 25% off the sale price.
The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?
A) The customer’s claim is correct. The final price of the sweater will be $5.
B) The customer’s claim is correct. The final price of the sweater will be $26.
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
D) The customer’s claim is incorrect. The final price of the sweater will be $30.
= 400
Answer:
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
Please Help ME!!
Identify two or more drawbacks/cons of having one-way streets within a grid street system.
Answers
Answer:
One way streets make it harder to turn into business, also one way streets often are long and they can throw you off your course
Step-by-step explanation:
I hope this helps
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answers
Answer:
see step by step explanation
Step-by-step explanation:
part a: x=1/72 because there are 72 x's in the one so 1/72
part b: x=1/70 because there are 70 x in 1 so x = 1/70
Answer:
(7^2)^0
Step-by-step explanation:
The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.
Dan invests £3400 into his bank account.
He receives 5% per year compound interest.
How much will Dan have after 6 years?
Give your answer to the nearest penny where appropriate
Answers
Answer:
$4556Step-by-step explanation:
Step one:
given data
Principal =£3400
rate= 5%= 0.05
time = 6years
Step two:
Required
The final amount A
A= P(1+r)^t
A=3400(1+0.05)^6
A=3400(1.05)^6
A=3400*1.341
A=$4556
after 6 years Dan will have $4556
Help need answer ASAP 7/15% of a quantity is equal to
? of the quantity.
Answers
Answer:
Step-by-step explanation:
7/15 = .4666 = 46.66%
Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Aaron's test score (out of 20) if he got 6 questions wrong? What would be his score if he got x x questions wrong?
Answers
Answer: that is a 30% if he got 6/20 if he got 0/20 he would fail.
Step-by-step explanation:
Answer:
x$;$;);)
Step-by-step explanation:
hrhhdhdhdhdhdbd
In one version of a trail mix there 4 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix there are 6 cups of peanuts mixed with 3 cups of raisins are the ratios equivalent for the two mixes
Answers
Answer:
No, they are not equivalent.
What's the greatest number 26 or 5.2
Answers
Answer:
26
Step-by-step explanation:
26 is the greatest number because 5.2 is a single digit and has lower value than 26.
26 > 5.2
Hope this helps!
Factor x^2+49 and if possible write the process of how to do it
Answers
Answer:
It is in the simplest form unless you want to put in a number for x.
Step-by-step explanation:
Answer:
Hi pls dont tell anyone its me pls and thank you
Step-by-step explanation:
What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?
Here are the answer choices:
A: y−10=1/3(x−6)
B: y=1/3x+8
C: y−10=−3(x−6)
D: y=−3x+28
Answers
Answer:
B
Step-by-step explanation:
sope intercept form: (y=mx+b)
m = slope
m = 1/3 (slope of parallel lines are the same)
10 = 1/3(6)+b
10 = 2+b
b = 8
write with slope and b
y = 1/3x+8
The answer is B
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answers
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
Bruno was given $2000 at birth. His parents invested it at a 2% interest rate compounded
annually. No deposits or withdrawls were made. Which expression can be used to determine
how much money Bruno had in the account when he turned 13?
Answers
Answer:
$2588Step-by-step explanation:
Step one
given data
principal=$2000
rate = 2%= 0.02
time t= 13 years
Required
the final amount in the account
Step two:
A=P(1+r)^t
A=2000(1+0.02)^13
A=2000(1.02)^13
A=2000*1.294
A=$2588
Bruno will have in the account when he turned 13, $2588
What is the recursive formula for this sequence?
10, 14, 18, 22, 26, ...
Answers
The only thing you do is add 4
10+4=14
14+4=18
18+4=22
22+4=26
26+4= 30
30+4=34
34+4= 38
it's f(n+1)=4+f(n) or an+1=4+an
When a figure is rotated, does every point move the same distance? Explain.
Choose the correct answer below.
O A. Yes. When rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point
OB. No. The angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the
distance each point moves varies.
O C. Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
OD. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Ku
Answers
Answer:
D. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Step-by-step explanation:
Rotation is a type of transformation which involves turning a given figure about a reference point to produce its image. This would produce an image with the same size as the object.
A given figure or shape has different parts or points. Since each point on the figure is at different distance to the reference point, thus they do not cover the same distance but move through the same angle of rotation. Each individual point move through the same angle but do not cover the same distance during rotation.
Therefore, the appropriate option is D.
Answer: D
Step-by-step explanation:
ABC - RST, AB=8, BC=18, ST=20. Find RS?
Answers
What are the zeros of this function?
-5
O A. X = 3 and x = 6
O B. x = -2 and x = 4.5
O C. x = 0 and x = 3
O D. x = -6 and x = -3
Answers
Answer:
A. X = 3 and x = 6
Step-by-step explanation:
Since graph is intersecting x-axis at 3 and 6, therefore 3 and 6 are zeros of this function.
The zeros of the function are x = 3 and x = 6
How to determine the zeros of the function?The zeros of the function are the x values where the graph crosses the x-axis
From the figure, the graph crosses the x-axis at:
x = 3 and x = 6
Hence, the zeros of the function are x = 3 and x = 6
Read more about zeros of function at:
https://brainly.com/question/20896994
Write an equation of the line with a slope of 2/3 and y-intercept of -8.
Answers
Answer:
y = mx + b
y = 2/3x + -8
M = 2/3
y -intercept b is -8
Step-by-step explanation:
ANSWER FOR BRAINLIEST
In a class, the ratio of boys to girls is 6:5. If there are boys. If there are 18 boys, how many girls are there?
Answers
Answer:
18 boys and 15 girls
Step-by-step explanation:
Since the ratio is 6:5 and there are 18 boys, you do 18/6=3
Then you do 5*3=15
An answer was deleted so imma replace it
The answer is 18:15
how do I graph this
Answers
Answer:
ight so you put a dot at -2 and then go up like, go up -2 line until you look across and it says 7 and put a dot there
Step-by-step explanation:
ANSWE ASAP PLEASE USE SURDS WILL GIVE THANKS/BRAINLIEST
Answers
Answer:
Exact Form:
5√6
____
12
Decimal Form:
1.02062072
...
In one week, a printing center made 1,232 copies of a 35 page article. The printing center also printed 556 copies of a 18 page essay. How many pages did the printing center print during the week?
Answers
The printing center printed 53128 pages in a week.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a printing center that made 1,232 copies of a 35 page article. The printing center also printed 556 copies of a 18 page essay.
Assume that they printed a total of [x] pages, then we can write -
x = (1232 x 35) + (556 x 18)
x = 43120 + 10008
x = 53128
Therefore, the printing center printed 53128 pages in a week.
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Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each car she sells.
Maria sells a motorcycle for $5,000 and a car for $25,000. What is the total commission that she will earn on the sale of these two vehicles?
A.
$5,500
B.
$5,000
C.
$4,850
D.
$4,250
Answers
the answer is d. $4,250
The scatter plot shows the hard drive capacities (in gigabytes)
and the price in dollars) of 10 laptops.
a. What is the price of the laptop with a hard drive of 8
gigabytes?
b. What is the hard drive capacity of the $1200 laptop?
gigabytes
c. What tends to happen to the price as the hard drive capacity
increases?
The price of the laptop
Answers
Answer:
a. From the scatter plot, the price for the laptop with a hard drive of 8 gigabytes = $1,100
b. From the scatter plot, the hard drive capacity of the $1,200 laptop = 12 gigabytes
c. As seen in the scatter plot, as the hard drive capacity increases, the price of the laptop increases
Step-by-step explanation:
Are the two lines equations parallel, perpendicular, or neither? 10x+8y=16 5y=4x-15
Answers
Answer: Neither
Step-by-step explanation: if you look at both slopes 10x and 4x they are neither the reciprocal or even remotely close to each other
The two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The two given equations are 10x+8y=16 and 5y=4x-15 then reduce both the equations in the intercept form of the standard line of the equation.
The standard form of the equation of the line is,
y = mx + c
For the equation: 10x+8y=16
10x + 8y = 16
5x + 4y = 8
4y = -5x + 8
y = (-5/4)x + 2
For the equation: 5y=4x-15
5y = 4x -15
y = ( 4/5 )x - 3
The slope of line 1 is ( -5/4 ) and the slope for line 2 is ( 4/5 ). Here, the slope of the lines is opposite and reciprocal of each other. The lines will be perpendicular to each other.
Therefore, two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
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A boat travels x miles per hour down the mississippi river. On the return trip, the boat travels 5 mikes per hour slower for 6.5 hours. How far does the boat travel down the river?
Answers
Step-by-step explanation:
x miles per hour so you need to add then 5+6.5 is 11.5
Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
a. x-4y=8
b. x+4y=-8
c. 4x+y=-2
d. 4x-y=2
Answers
Answer:
x-4y=8
Step-by-step explanation:
x-4y=8
-4y=-x+8
y =-x/4 + 2