Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
Newton's law of coolingAccording to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
Learn more about newtons law of cooling: https://brainly.com/question/14643865:
A party tent is used for an outdoor event. Ropes of equal length
support each tent pole. The angle the rope makes with the floor is
55
What is the height of each pole?
28 ft
Enter your answer in the box. Round only your final answer to the
nearest tenth
Answer:
22.9
Step-by-step explanation:
Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.
What is the square root of –16?
–8i
–4i
4i
8i
Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]
[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Area of map.
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]
So, let's begin
[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,
[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]
Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]
________________________________
Hope it helps you:)
What is −1/8÷7/24?
Enter your answer in the box as a fraction in simplest form.
i need help with this i will give you 100 points
Answer:
10
Step-by-step explanation:
First we figure out the area of the triangle!
8 x 6 = 48
48/2 = 24
Now we multiply to figure out the area of the rectangle :)
24 x 5 = 120
Now we divide 120 by 12 to figure out the width!!
120/12 = 10
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
10
Step-by-step explanation:
area of triangle = 1/2 x 8 x 6 = 24
area of rectangle = 5 x 24= 120
area of rectangle = length x width
120 = 12 x w
w = 10
What value of x makes this equation true?
5x+3=2x-3
Answer:
-2
Step-by-step explanation:
[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]
Let's solve this equation.
Step 1
Move the numbers to the right:-
5x=2x-3-3
Step 2
Move the x's to the left
5x-2x=-3-3
Notice I use the opposite operation :)
Step 3
Combine like terms
3x=-6x
Step 4
Divide both sides by 3
x=-2
That's the value of x that makes the equation true.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
is f=9/5c+32 a linear function
Answer:
"a linear function has the form y = mx + b. "
Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because
a
the sample sizes for the two groups are not equal.
b
the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
c
age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
d
age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
e
age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid
Answer:
B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
Step-by-step explanation:
Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.
Therefore, option D is the correct answer.
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ2
8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm
D) 30 mm
should be it!! GL:)
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2Convert 5 yards 2 feet to inches. 5 yd 2 ft = ______ in. *
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answer:
204 inch-
Step-by-step explanation:
1: change the 5yard 2ft to be just feet.
1 yrd = 3 feet
5 yrds × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
2: change to inches.
1 ft = 12 inch
17ft × 12in/ft = 204 in
5 yards 2 ft = 204 in
~Jax~
Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!
Check the picture below.
Would I do 12 time 4.5?? Someone please help
Answer:
96
Step-by-step explanation:
Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?
Answer:
i) Gas mileage = 31 miles
ii) 2170 miles = 70 gallons
Step-by-step explanation (i):310 miles on 10 gallons of gas.
⇒ 310 miles = 10 gallons
⇒ 310/10 miles = 10/10 gallons
⇒ 31 miles = 1 gallon
Gas mileage = 31 miles
Step-by-step explanation (ii):⇒ 31 miles = 1 gallon
⇒ 31 x 70 miles = 1 x 70 gallon
⇒ 2170 miles = 70 gallons
A boat travels 345km in 24 hrs. How long will it take to complete 300 km
Answer:
20.87 hours
Step-by-step explanation:
Speed = distance/ time
We need to find the speed of the boat which is ...
s = 345/24
s = 14.374km/hour
so to find how long it takes to travel 300 km we....
time = distance/speed
t = 300/14.375
=20.869
= 20.87
i dont know what to do for tis
Answer:
is this by any chance about simultaneous equations? If so,
Step-by-step explanation:
Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.
Step 2 is telling us to write equations with x and y.
For example,
7x + 5y = 12
7x - 2y = 9
This may not be accurate but it is an equation.
Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.
For step 5, im not really sure.
hope this helps though???
Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar
Using a geometric sequence, it is found that:
a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].
b) The value of her collection 9 years after she started tracking is of $94,557,148.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].
In two years, the collection was valued at $1,102,500, hence the common ratio is:
[tex]q^2 = \frac{1,102,500}{250,000}[/tex]
[tex]q^2 = 4.41[/tex]
[tex]q = \sqrt{4.41} = 2.1[/tex].
Hence, the explicit formula is:
[tex]a_n = 250000(2.1)^{n-1}[/tex]
Item b:
[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]
The value of her collection 9 years after she started tracking is of $94,557,148.
More can be learned about geometric sequences at https://brainly.com/question/11847927
-100x – 100 = 0
-100x =
X =
Answer:
-1
Step-by-step explanation:
-100x-100=0
-100x=100
x/-100=100/-100
x=-1
When you are solving for a variable your goal is to get the variable by it seff.
x = -1
- 100x = 100
Step-by-step explanation:
[tex] - 100x - 100 = 0[/tex]
Move the constant to the right side and change the sign
[tex] - 100x = 100[/tex]
Change the sign of both side of the equation
[tex]100x = - 100[/tex]
Divide both side by the same number
[tex]x = - 1[/tex]
[tex] - 100x[/tex]
[tex] - 100 \times - 1[/tex]
Remove the ( - ) sign since negative number are multiplied by even number...
[tex]100 \times 1 \\ 100[/tex]
What number is one thousand less than one million?
Answer:
999,000
Step-by-step explanation:
We need to find the number that is one thousand (1,000) less than one million (1,000,000).
less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000Answer:
999000
Step-by-step explanation:
1 million - 1000 or 1 million less is 100,000
Do you understand this please give examples l really don’t understand.
Answer:
so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side
so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28
Step-by-step explanation:
answer this correctly for brainiest
12x−3<−138
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
An=A(n-1)-4 where A=7
Step-by-step explanation:
10)Find the mean of the following data?
0 1 2 3 4 5 6 7
Answer:
3.5
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores
Which Line has The Greater Slope
1
2
3
4
Answer number 9 please.
Answer:
165 cm³
Step-by-step explanation:
330 cm³ × 1/2 = 165 cm³
Number 11 instructions are to simplify
Answer:
a/(a-4)
Step-by-step explanation:
Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.
___
[tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]
really need help with this math makeup work pleasee
Answer:
A and D would be congruent
Step-by-step explanation:
COngruent angles are angles with the same measurements (same size angles).
Answer:
First Image: ∠G ≅ ∠B, ∠E ≅ ∠D Second Image: ∠1 = 140 ∠2 = 40
Step-by-step explanation:
∠G ≅ ∠B by Alternate exterior angles, ∠E ≅ ∠D by Alternate interior angles ∠1 = 140 by alternate exterior angles and ∠2 = 40 by supplementary angles 180 - 140 = 40
Does anyone know what type of angle this is?
Answer:
SUPPLEMENTARY ANGLES
(ADJACENT ANGLES).
Step-by-step explanation:
< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m < = 180 degrees. So they are supplementary angles also.
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.