Answers
Answer:
b) 18
c) 80.78
Step-by-step explanation:
While we can solve this equation with separation of variables, it isn't necessary. The coffee is originally at 95°, and the ambient temperature is 18°. The top right graph is the only one that shows this trend.
As t approaches infinity, y approaches the ambient temperature of 18°.
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
yₙ₊₁ = yₙ + 2 (-0.02 (yₙ − 18))
yₙ₊₁ = yₙ − 0.04 (yₙ − 18)
yₙ₊₁ = 0.96 yₙ + 0.72
When n=0:
y₁ = 0.96 y₀ + 0.72
y₁ = 0.96 (95) + 0.72
y₁ = 91.92
When n=1:
y₂ = 0.96 y₁ + 0.72
y₂ = 0.96 (91.92) + 0.72
y₂ = 88.96
When n=2:
y₃ = 0.96 y₂ + 0.72
y₃ = 0.96 (88.96) + 0.72
y₃ = 86.12
When n=3:
y₄ = 0.96 y₃ + 0.72
y₄ = 0.96 (86.12) + 0.72
y₄ = 83.40
When n=4:
y₅ = 0.96 y₄ + 0.72
y₅ = 0.96 (83.40) + 0.72
y₅ = 80.78
Related Questions
A movie theater sold 1,096 tickets on Friday. On Saturday, it sold 4 times as many tickets as on Friday. How many tickets did the movie theater sell on Saturday? A. 4,096 B. 4,364 C. 4,384 D. 4,416
Answers
Answer:C.4,384
Step-by-step explanation:
1,096 × 4 = 4,384
This is why the answer is C.4,384.
HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7)
y−4=2/5(x−7)
Answers
Answer:
y + 7 = 2/5 (x + 4)
Step-by-step explanation:
(I hope 25 is 2/5)
The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)
Hope this helps!
IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 95 and a standard deviation of 18. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.)
Answers
Answer:
13,797,339 people
Step-by-step explanation:
Given that μ = 95 and σ = 18
The total number of population is N = 323,000,000
Now, we calculate the probability that IQ is higher than 126
P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]
P(X>126) = 1 - P[Z ≤ 1.72]
P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel
P(X>126) = 1 - 0.957283779
P(X>126) = 0.042716221
Hence, the required probability is 0.042716221
Now, we calculate the approximate number of people in the county with an IQ higher than 126
Number of people = P(X>128) * N
Number of people = 0.042716221 * 323,000,000
Number of people = 13797339.383
Number of people = 13,797,339
Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population
There are 13800000 people in the country with an IQ higher than 126
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 95, σ = 18;
For x > 126:
[tex]z=\frac{126-95}{18} =1.72[/tex]
From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427
For a total population of 323,000,000:
Number of people in the country = 0.0427 * 323,000,000 = 13800000
Hence there are 13800000 people in the country with an IQ higher than 126
Find out more at: https://brainly.com/question/15016913
The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the cable.
Answers
Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2[tex]\pi[/tex]r
where r is the radius.
So that;
circumference of the drum = 2 x [tex]\frac{22}{7}[/tex] x 4
= [tex]\frac{176}{7}[/tex]
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
I need help please Will mark brainliest. Thank you
Answers
Given the rotation in the image below, solve for the values of x and y,
HELPPPP
Answers
Answer:
x = 5
y = 4
Step-by-step explanation:
Since, rotation of a figure is a rigid transformation.
In a rigid transformation shape and size of the figure remains unchanged, that means image and pre-image are always congruent.
By the property of congruent triangles,
x = 5
3y = x + 7
3y = 5 + 7
3y = 12
y = 4
PLEASE HELPPP MEEEEE
Answers
Step-by-step explanation:
iikkkkkooooinnjjjrtreuuh1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the farm?
2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?
3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?
5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?
I need the solution with the answer thank youuu
Answers
Step-by-step explanation:
1. A = lw
l = A/wl = (x²+7x +12) / (x + 3) = (x + 4)(x + 3)/(x + 3) = x + 4 m2. V = lwh
lw = V/hlw = (x³ + 12x²+ 47x + 60) / (x + 3) = (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) = (x + 3)(x² + 9x + 20) / (x + 3) = x² + 9x + 20 cm²3. A = bh
h = A/bh = (f³-8) / (f-2) =(f - 2)(f² + 2f + 4)/(f-2) =f² + 2f + 4 cm4. A = p*c
c = A/pc = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =(3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =(x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =3x + 2 cans5. A = lw
l = A/wl = (x² + 5x - 6)/(x + 2) =(x - 1)(x + 6)/(x + 2) mOne cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.? Enter your answer in the box. degrees
PLZ HELP!!!! 50 POINTS !!!!
Answers
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent
Answers
Answer:
Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Step-by-step explanation:
Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.
Answers
Answer:
Your answer is y-2=4/3(x-7)
Step-by-step explanation:
Answer:
y-2=4/3(x-7)
Step-by-step explanation:
I NEED HELP ASAP WITH THIS QUESTION
Answers
Answer:
A: mean and mode
B: mean
C: median and mode
D: median is greater
Step-by-step explanation:
im not so sure about the answer for a bit I hope this helped you a bit.
What is the distance along the unit circle between any two successive 8th roots of 1?
Answers
Answer:
C.) pi/4
Step-by-step explanation:
Edg 2020, answered the question and got it right :)
A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answers
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
To learn more about probability here:
https://brainly.com/question/32117953
#SPJ2
triangle is graft on a coordinate grid and then translated three units to the left in two units up. Of one vertice of The original triangle is located at (1,-8) what is the order pair of this vertex of the new triangle after translation?
Answers
Answer: 33
Step-by-step explanation:
Find the t-value such that the area left of the t-value is 0.01 with 8 degrees of freedom.
A. 2.896
B. -4.501
C. 2.998
D. -2.896
Answers
Graphing Ratios Which line includes the ratios in the table? Reading a Graph All the ratios lie on line 4 .
Answers
Answer:
the answer is b
Step-by-step explanation:
literally it just said b i thought it was a number currently crying
Answer:
Yes it's b
edge
Step-by-step explanation:
I need help please!:D
Answers
Answer:
first one bro, its easy just multiply 10×10×10=30and0,43
Answer: 30 x 50 = 430/10 x 0.43 = 4.3 thats all i got bc im working on the same thing
Step-by-step explanation:
what are the first four multiples of the number 6
Answers
Answer:
6,12,18,24
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
12
Step-by-step explanation:
(30 - 6) /2 = 24 / 2 = 12
PLEASE HELP!!
Does this circle have a radius or a diameter?
Answers
Answer:
2yd is the radius.
Step-by-step explanation:
URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1
Answers
Answer:
41
Step-by-step explanation:
Jus replace x with 3 and put it in a calculator.
A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.
Answers
310 Is the length times width of the playground and 20x is letting x represent the length of the sports field.
Answer:
20x + 310
Step-by-step explanation:
step 2 is 20(x + 15.5)
3) 4 hours worked for $12; 7 hours worked for $28
O yes
no
Answers
Answer:
no cuz if u work for 4 hours and get $12 then if u work for 7 hours u get $21
Step-by-step explanation:
After John worked at a job for 10 years, his salary doubled. If he started at $x, hls salary after 10 years is
Answers
Answer:
$2x
Step-by-step explanation:
x × 2 = 2xI hope this helps!
answerrrrrrrrrrrrrrrrrrrrrrrrr
Answers
1 c of lemon juice
A labtop has ablisted price of $739.98 befire tax. If the sales tax rate is 8.75%, find the total cost of the labtop with sales tax included.
Answers
If the diameter of the circle is 24 cm, find its area correct to one decimal place.
A= ______ cm2
Answers
Answer:
A=pi times radius squared
24/2= 12 is the radius (since it's half of diameter)
A=pi times 12 squared
12 squared is 12 times 12 which is 144
A=pi times 144
A=452.389342
Rounded to 452.4
True or false:
FGH is a right triangle
Answers
Answer:
False
Step-by-step explanation:
Suppose |FG| is hypotenuse
the sum of square length of side legs must be equal to square of hypotenuse
(√63)^2 + 6^2 = 10^2
63 + 36 = 100
99 is not equal to 100 therefore the given triangle is not a right triangle.
Find the mean for the scores 3860,5300,8560,4,200,5360
Answers
Answer:
The mean is 5444
Step-by-step explanation:
Hope this helps!
Answer:
add and divide for the mean
Step-by-step explanation:
3860 + 5300 + 8560 + 4200 + 5360 = 27280
27280 ÷ 5 = 5456
Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.
Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)