The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.
What is exponential?An exponential function is a function whose value is a constant raised to the power of an argument
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
To know more about exponential follow
https://brainly.com/question/2456547
Answer:
first choice, exponential, because there is a relatively consistent multiplicative rate of change.
explanation:
because it is <3
in right triangle ,XYZ, the length of the hypotenuse YZ=85 and tanZ=3/4. what are the lengths in inches of the legs XY and XZ
Answer:
UWU
Step-by-step explanation:
THIS IS A GOOD ASNWER YOZ NEED IT RN SO GOOD LUCK
the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
in right triangle ,XYZ, the length of the hypotenuse YZ=85 and tanZ=3/4.
so, we get,
let, the sides= 3x & 4x
now, by Pythagorean theorem,
9x^2 + 16x^2 = 85
x=1.84
hence, the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .
To learn more on Pythagorean theorem click:
brainly.com/question/24302120
#SPJ2
Work out the size of angle y
Answer:
y = 108°
Step-by-step explanation:
3x - 12 and 2x + 16 are corresponding angles and are congruent , then
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
then
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and sum to 180° , that is
y + 72° = 180° ( subtract 72° from both sides )
y = 108°
Step-by-step explanation:
There you go I hope this helps
Thirty adults were asked how many pets they have had over their lifetime. the results are shown in the histogram below. a bar graph entitled lifetime pets has number of pets on the x-axis and number of adults on the y-axis. 14 adults had 1-5 pets; 9 had 6 to 10; 5 had 11 to 15; 2 had 16 to 20. which of the following is most likely true? the mean and median are both in the interval 1–5. the mean and median are both in the interval 6–10. the mean is in the interval 6–10, and the median is in the interval 1–5. the mean is in the interval 1–5, and the median is in the interval 6–10.
Using the concepts of the mean and of the median, it is found that the correct option is given by:
both in the interval 6–10.
What are the mean and the median of the data-set?The mean is the sum of all observations divided by the number of observations.The median is the measure that separates the bottom half of the variable from the upper half, that is, the 50th percentile.To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:
[tex]M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17[/tex]
The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.
Hence, the correct option is given by:
both in the interval 6–10.
More can be learned about the mean and the median of a data-set at https://brainly.com/question/24732674
Answer:
The mean and median are both in the interval 6–10.Step-by-step explanation:
A city has 28 radio stations, including 12 college radio stations. What is the probability that a randomly chosen radio station in this city is a college radio station? Write your answer as a fraction or whole number.
Step-by-step explanation:
Given
Number of Radio Stations=28
Number of College Radio Stations=12
[tex]required \: probabilty = \frac{number \: of \: college \: radio \: stations}{total \: number \: of \: radio \: stations} [/tex]
Probability=12/28=3/7
Please help me with this!
Answer:
Step-by-step explan
answers for
2(3x-5)=52
Answer:
x = 31/3 or 10 1/3.
Step-by-step explanation:
2(3x-5)=52
2*3x + 2*-5 = 52
6x - 10 = 52
6x - 10 + 10 = 52 + 10
6x = 62
x = 62/6 = 31/3
Giving brainly if you answer this question
Answer:
D. 2(√34 + √106)
Step-by-step explanation:
1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.
c² = a² + b²
c² = 5² + 9²
c² = 25 + 81
c² = 106
c = √106
2) Find the hypotenuse of the a smaller triangle infused in the kite.
c² = a² + b²
c² = 3² + 5²
c² = 9 + 25
c² = 34
c = √34
3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.
= 2(√34 + √106)
The total cost of 5 kg orange and 3 kg apple is Rs.1100. If the rate of orange decreases by 20% and the rate of apple increases by 5%, the total cost of 3 kg orange and 3 kg apple will be Rs. 870. By what percent the cost of 1 kg apple is less or more than 1 kg orange? Find it.
The percentage that the cost of 1 kg apple is more than 1 kg of orange is 100%.
What are the linear equations that represent the question?
5o + 3a = 1100 equation 1
2.4o + 3.15a = 870 equation 2
Where:
o = cost of 1kg of orange a = cost of 1kg of apple What is the cost of 1kg of orange?Multiply equation 1 by 1.05
5.25o + 3.05a = 1155 equation 3
Subtract equation 3 from equation 2
285 = 2.85a
a = $100
What is the cost of one kg of apple?Substitute for o in equation 1
5(100) + 3a = 1100
500 + 3a = 1100
3a = 1100 - 500
3a = 600
a = $200
By what percent the cost of 1 kg apple is less or more than 1 kg orange?($200 / 100) - 1 = 100%
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
In (circle)A, m∠BAD = 110. Find mDE.
Answer: 70
Step-by-step explanation: BAD is 110 degrees and BDE is 180 so do 180 minus 110 and gets you 70 which is DE
Reason:
Central angle BAD is 110 degrees.
This makes angle DAE to be 180-110 = 70 degrees since the two angles are supplementary. They combine to a 180 degree straight angle.
From there, minor arc DE is also 70 degrees. This is because the central angle subtending the arc will be the same measure.
There are white, yellow and green counters in a bag in the ratio
5
:
8
:
8
What fraction of the counters are green?
Answer:
8/21
Step-by-step explanation:
the ratio is 5:8:8 so the total is 21 and since green is 8,the fraction is 8 over the total which is 8/21
PLS HELP marking brainliest
20-27 show ur work
Answer:
-7?
Step-by-step explanation:
I mean, is the question 20 - 27 =? Or it's something else? Lol.
20 - 27 = -7, it's very straightforward cannot write it in more detailed way. When we substract a number from another and the first one is smaller the result is a negative number. Imagine someone sells up to 3 apples, you ask him to give you 5. He gives you all 3 of his so he has 0 but you force him to go and get another 2 for you. He lost another 2, so he has less than 0 now. He has -2 apples: 3 - 5 = -2.
Now, I don't know if this is the question or these are set of exercises you must solve and your picture just didn't upload. Let me know if you need help with anything else.
Hello everyone I really need help with this I need answers i’ve been trying to find the answers for almost 1 hour now I’m really bad at math so I need answers. Thank you to whoever answers this
Write the following statements in algebraic form.
A. A number decreased by 3 and then doubled.
B. A number is tripled and then increased by 8.
C. Area of rectangle is the product of its length and breadth.
D. Product of two numbers divided by 3.
E. x is halved and increased by 11
= 2 ( n-3 )
B. A number is tripled and then increased by 8.= 3 ( x+8 )
C. Area of rectangle is the product of its length and breadth.x= l×b
D. Product of two numbers divided by 3.= x/3
E. x is halved and increased by 11= x/2 + 11
a= 2 ( n-3 )
b= 3 ( x+8 )
c= x= l×b
d= x/3
e= x/2 + 11
What feedback should another lab group give during a peer review of the work? the line of best fit is reasonable because it does not go through any points. the line of best fit is reasonable because it goes through the largest cluster of points. the line of best fit is not reasonable because it does not go through any points. the line of best fit is not reasonable because it has more points below it than above it.
The feedback that should be given by another lab during peer review is based on the data contained in the work.
What is peer review?The term peer review refers a detailed analysis of the work that has been done by a scientist to determine the accuracy and reliablity of the data and the conclusions.
The feedback that should be given by another lab during peer review is based on the data contained in the work. Since the work is not shown here, we can not exactly tell the accurate peer review for the work.
Learn more about peer review: https://brainly.com/question/9774552
Answer:
the line of best fit is not reasonable because it has more points below it than above it.
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions 3-2/3x=3/4
Answer: 3- 0.67x = 0.75
Step-by-step explanation: Convert fractions to decimals
1cup is equivalent to ?
Answer:
8 ounces
If you need more I can add
Which of the following is the surface area of the right cylinder below? A. 244π units B. 204π units C.869π units D.352π units
Answer is: D. 352 pi ✅
Why is that the case? Let's see.
When finding surface area, multiply two times pi times the radius times the height.
[tex]A = 2\pi rh+2\pi r^2[/tex]
Now, you need to split these four values into an actual equation.
2 followed by pi radius-height plus two pi radius, is actually the formula for surface added to the formula of area, so;
[tex]2\pi rh+2\pi r^2 = 2 * \pi * 8(radius) * 14 + 2(height~plus~the~two) * \pi * 8^2[/tex]
Solve.
the result is 1105 according to order of operations.
Divide 1105 by pi to get the answer. Pi is 3.14... so for every 3.14..., you count that as one.
[tex]1105 / 3.14 = 351.91...[/tex] which rounds to 352
Therefore, your answer is 352π units²
Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.
Genre Number of songs
Rock 444
Pop 222
Country 777
Classical 888
How many different playlists could Jeremiah create?
Answer:
68009554368
Step-by-step explanation:
mulitply all the numbers by each other
How many ways can Caroline choose 6 courses of any type?
Answer:
6 times she can choose courses
(20 POINTS AND BRAINLIEST) The rectangles below have the same perimeter
What is the area of the orange rectangle?
Answer:
Well it is 16
Step-by-step explanation:
the rectangle has 2 of the same sides for each side, so 3x2+5x2, a square has all sides equal to each other, so 4x4
So Now we do the easy part|
The rectangle that is grey:
3x2 = 6
5x2 = 10
6+10 =16
The orange square:
4x4 = 16
4+4=8
4+4=8
8+8=16
Therefore both are 16, meaning 16 must be the perimeter for both!
PLEASE HELP!
What is the value of x?
Enter your answer in the box.
x =
2√3
hope it helps...!!!
solve using the square root method
Answer:
I think it will be helpful
Are the angle measurements in this triangle correct?
130⁰
30°
30°
OA) Yes, the angle measurements shown are correct.
OB) No, the base angles should be 35 degrees.
C) No, the top angle should be 140 degrees.
OD) No, the top angle should be 120 degrees.
I will mark BRAINLY
Answer:
D
Step-by-step explanation:
The Angle Sum Property of a Triangle states that the internal angles of a triangle add up to 180°Here, the sum is : 130 + 30 + 30 = 190°Therefore, the angle measurements are not correctThe total angle measure of triangle should decrease by 10°By making the top angle 120°, the sum becomes 180°Hence, D is the correct optiona^1 =5, a^n = a^n-1 (7) explicit formula
Answer:
[tex]a_{n}=5\times \left( 7\right)^{n-1}[/tex]
Step-by-step explanation:
[tex]a_{n}=a_{n-1}\times7[/tex]
Then the common ratio = 7
Then the explicit formula is :
[tex]a_{n}=a_{1}\times \left( 7\right)^{n-1}[/tex]
[tex]=5\times \left( 7\right)^{n-1}[/tex]
What is 1/2 as a fraction 1/2 btw of 80 =?
this is a math Question btw.
Step-by-step explanation:
what is 1/2 as a fraction 1/2 btw of 80 = 50%
50% is your answer
Answer:
50% is the answer
Step-by-step explanation:
1/2 of 80% = 50%
Show work please I’ve been really struggling lately and i am SWAMPED with work
Answer:
See below
Step-by-step explanation:
m = k/m sub in the values given
-4 = k / 17
k = -68
so m = -68/n NOTE: this can also be written as n = -68/m
Answer:
Step-by-step explanation:
Nikki, they wrote the problem in a format that is general
y = k/ x for the given variables m and n then
m = k / n where k is some constant ( konstant)
plug in the given numbers for m and n
-4 =k / 17
solve for k
-4 * 17 = k
-68 = k
now we have a better formula
m = -68 / n ( this is your answer a )
now plug in -136 for m
-136 = -68 / n
solve for n
n = -68 / -136
n = 1/2 ( this is your answer b)
Hope that helps, can you see how I did that?
There are 12 months in a year.
Use the drop-down menus to help write the equation that can be used to find the
number of months, m, given the number of years, y
Answer:
It is always 12 times the number of years.
Step-by-step explanation:
12 months in 1 year, 12:1
24 months in 2 years, 24:2
36 months in 3 years 36:3
and so on
ms.amni and mr.blake each ordered supplies for their classroom. the cost of the supplies are pencil cases equals $3 box of crayons equals $4 pack of folders equals $2 .Ms.Amani ordered 7 pencil cases and 9 pack of folders and Mr Blake ordered 9 boxes of crayons What is the difference In the cost off the supplies Ms.Amani and the cost of surprises mr Blake ordered. Show work
Answer:
3
Step-by-step explanation:
do 3×7+9×2=39 (Ms. Amani)
Next do 9×4=36 (Mr.Blake)
39-36=3
Hope this helps!
Para ir al antiguo correo central donde se pueden visitar las exposiciones del archivo general de la nación partiendo desde Palacio de gobierno Manuel decida y que se debe pasar por un por el pasaje Santa Rosa en cambio que decida que no es necesario que diría esto
The correct option to the statement above is "Manuel está equivocado por qué se demorarían más".
What is the statement about|?La declaración es sobre cómo ir (la dirección a tomar) a la antigua oficina central de correos, ya que la gente quiere ir a ver una exposición del archivo general de la nación. El primer punto de su movimiento fue desde el Palacio de Gobierno.
English interpretation of the above "The statement is about how to go (the direction to take ) to old central post office as the people wants to go and see an exhibitions of the general archive of the nation. The first point of their movement was from the Government Palace".
Conclusively, Manuel decides the direction to take that is a passage from Santa Rosa but they believe that Manuel is mistaken and why they would take a long time more" as in the statement "Manuel está equivocado por qué se demorarían más".
Learn more about Spanish sentence from
https://brainly.com/question/22412009?answeringSource=feedPublic%2FhomePage%2F19
#SPJ1
Two adjacent angles (A and B) are in the ratio of
4:5. The sum of the angles is equal to 54°. Find
the angle measures.
Answer:
A=24° B=30°
Step-by-step explanation:
add the ratios
4+5=9
A:4/9×54°
A=24°
A+B=54(make B subject)
B=54-A
B=54-24
B=30°