[tex]$$\begin{aligned}&T^{\prime}=-k(T-72) \quad T(0)=35 \text { (given) } \\&\frac{d T}{T-72}=-k d t-\left\{q^n(1)\right. \\&\text { Solphy } k g^n(1) \\&\ln (T-72)=0-k t+1 \\&T-72=e^{-k t+t} \\&T-72=e^{-k t} e^l \\&\text { let } e^r=C \\&T-72=C e^{-k t} \\&T=72+C e^{-k t} \\&T(t)=72+c e^{-k t}(2)\end{aligned}$$[/tex][tex]$T(t)=72+c e$ Now at $t=Q \mathrm{~mm} \quad T=42$ given Now at $t=Q \min T=$$$\begin{aligned}&\text { yed: } 72+4 e^{-k t} \\&35=72+c e^{-k 0} \\&C=-37 \\&\text { at }+=2 \text { min } T=42 \\&\text { a gaim puting in \&qn } \\&42=72-3+e^{-2 k}\end{aligned}$$[/tex][tex]$$\begin{array}{rl}-\frac{30}{37} & =e^{-2 k} \\e^{-2 k} & =\frac{30}{37} \\-2 k & =\ln \left(\frac{30}{37}\right) \\k & =0.1048 \\p 1 h y & m n \\T(t) & =72-37 e^{-0.1048+} \\T(15) & =72-37 e^{-0.1048 \times 15} \\T(15) & =72-37 \times 1 \\T(15) & =64.31 \\& =\end{array}$$[/tex]
What is Fahrenheit?The unit is the degree Fahrenheit, represented by the sign °F. There are various accounts of how he initially defined his scale, but the initial paper suggests that the lower defining point, 0 °F, was established as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt). The other limit established was his best estimate of the average human body temperature, originally set at 90 °F, then 96 °F (about 2.6 °F less than the modern value due to He did, however, mention a midpoint at 32 °F, which would be the temperature of ice water.
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Algebra question help plsssss
Answer: x<=-6 or x>=4 ==> option 2
Step-by-step explanation:
|x+1|-2>=3
|x+1|>=5
x+1>=5
x>=4
x+1<=-5
x<=-6
x<=-6 or x>=4 ==> option 2
Answer:
See below
Step-by-step explanation:
|x+1| -2 ≥ 3 start by adding 2 to both sides
|x+1| ≥ 5 now ....
x+1 >= 5 x+1 <= -5
x >= 4 x <= -6
combined -6 >= x >= 4
Write an expression for the operation described below.
7 times u
the degree of correlation among independent variables in a regression model is called . a. multicollinearity b. the coefficient of determination c. interaction d. the sum of squared errors (sse)
Multicollinearity refers to the degree of correlation among independent variables in a regression model.
What is Multicollinearity?In a multiple regression model, one predictor variable can be predicted linearly from the others using a high degree of accuracy when there is a phenomenon known as multicollinearity (also known as collinearity). In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the complete set of predictors predicts the outcome variable, but it could not provide accurate information about any particular predictor or which predictors are redundant in relation to others.
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We wish to test the hypothesis that the mean weight of a population of fish is 140g. With sigma=15 g and alpha= 0.05, and a sample of 36 fish, find a) the mean values which would lead to a rejection of the hypothesis and Use a two-tailed test.
Using the z-distribution, it is found that mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.
What is the critical value of the test?We have a two-tailed test, with a significance value of α = 0.05, hence, using a z-distribution calculator, the critical value is given by:
|z| = 1.96 -> z < -1.96 or z > 1.96.
What is the test statistic?The test statistic is given as follows:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.For this problem, the parameters are given as follows:
[tex]\mu = 140, \sigma = 15, n = 36[/tex]
The lower bound of acception is found as X when z = -1.96, hence:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
-1.96 = (X - 140)/(15/6)
-1.96 = (X - 140)/(2.5)
X - 140 = -1.96 x 2.5
X = 135.1.
The upper bound of acception is found as X when z = 1.96, hence:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
1.96 = (X - 140)/(15/6)
1.96 = (X - 140)/(2.5)
X - 140 = 1.96 x 2.5
X = 144.9.
Hence:
Mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.
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ZA and ZB are vertical angles. If mA = (5x + 1)° and m/B = (4x + 3)°,
then find the value of x.
Answer:
x=2
Step-by-step explanation:
Vertical angles are equal.
5x+1=4x+3
-1 -1
5x=4x+2
-4x -4x
1x=2
x=2
The value of x is 2.
5(2)=4(2)+2
10=8+2
10=10
Hope this helps.
approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber
A) The expression for the number of tires used to make x lane-miles of asphalt rubber is y = 2000x.
B) The number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber are as follows:
y = 22000
y = 100000
y = 300000
How to create algebraic equations?
Approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber.
Therefore, an expression for the number of tires used to make x lane-miles of asphalt rubber is as follows:
y = 2000x
where;
x = number of lanes-miles
y = number of tires
Therefore, the number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber are as follows:
y = 2000(11) = 22000
y = 2000(50) = 100000
y = 2000(150) = 300000
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Complete question is;
Approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber.
A.Write an expression for the number of tires used to make x lane-miles of asphalt rubber.
B. Find the number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber.
What is the ordinal number word for the following number?
47
O four sevens
O forty-seven
O forty-seventh
Answer:
forty-seven :)
Step-by-step explanation:
4 tens
7 ones :)
Have an amazing day!!
Please rate and mark brainliest!!
Please help asap!!!!
Answer: I believe that the answer is -3x=4y
Step-by-step explanation: I hope this helps and I am sorry if I am wrong.
NEED HELP ASAP ALSO READ PART A AND PART B
she made an error in the third step. The correct answer is - 9.7b + 25
How to add linear expression?(-4.23b + 13) - (5.47b - 12)
Therefore, let's open the bracket on the right side.
-4.23b + 13 - 5.47b + 12
Hence, let's combine the like terms
-4.23b + 13 - 5.47b + 12
-4.23b - 5.47b + 12 + 13
Do the arithmetic of the like terms
-4.23b - 5.47b + 12 + 13
- 9.7b + 25
Therefore, she made an error in the third step.
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in geometry what is n = 1
(2,-4), (4,-5)
5x+2y^2=70
pls help me ASAP
show all solutions
Answer:
Hello,
Step-by-step explanation:
I can only explain in mathematics not in English (i am French).
c: number of customers
n: number of good reviews
k: factor of proportionality
1)
p=k*c*n
15000=k*75*100 ==> k=2
if c=250 and n=150 then p=2*250*150=75000
2)
A=b*a/2 since b= 9 and a=4 then 9*4/2=18 (cm²)
A=4*7/2=14 (cm²)
Why could the mean of the data set below be misleading?
ages of teachers: 29, 38, 39, 26, 29, 29, 39, 77, 38, 29
The mean of the data set is 37.30
The mean of teachers ages are 37.30.Given that
Ages of teachers:29, 38, 39, 26, 29, 29, 39, 77, 38, 29
To find
The Mean of teachers ages ?So, according to the question
We have,
Ages of teachers: 29, 38, 39, 26, 29, 29, 39, 77, 38, 29So, we know that
The mean of any given datamean = [tex]\frac{sum\;of\;\;data}{number\;of\;data}[/tex]
So, the sum of the teachers ages∑ Ta = 29+ 38+ 39+ 26+ 29+ 29+ 39+ 77+ 38+ 29
∑ Ta = 373
The number of teachersTn = 10
Now, The Mean of teachers ages
Tm = [tex]\frac{sum\;of\;the\;teachers\;ages}{number\;of\;teachers}[/tex]
Tm = [tex]\frac{T_a}{T_n}[/tex]
= [tex]\frac{373}{10}[/tex]
Tm = 37.30
The mean of teachers ages are 37.30.
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PLEASEE HELP!!!!
If a1 = 10 and an = an - 1 + 1 then find the value of a4
Answer: 13
Step-by-step explanation:
an=a(n-1)+1
a1=10
a2=
a(2-1)+1=
a1+1=
10+1=11
a3=
a2+1=
11+1=12
a4=
a3+1=
12+1=13
a4=13
What is 0.005 6 in standard form
The standard form of the given number is (5 × 10⁻³)/6.
What do we mean by standard form?The standard form of a number is a method of writing the number that adheres to certain rules. Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten.The standard form of 0.005/6 is:
= 0.005/6= (5/1000)/6= (5/10³)/6= (5 × 10⁻³)/6Therefore, the standard form of the given number is (5 × 10⁻³)/6.
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I need this answered in the next 10 minutes
Answer:
download mo po gauth math tas scan mo po yan
Step-by-step explanation:
A package of 10 cans of soup costs $14. an individual can costs $2. you need at least 25 cans. find the price of each combination of items. 25 individual cans: $ 50 1 package of 10 cans and 15 individual cans: $ 44 2 packages of 10 cans and 5 individual cans: $ 38 3 packages of 10 cans: $ 42 you decide to buy 3 packages of 10 cans. how much do you pay for each can? $ 1.5
If I want to buy 3 packages of 10 cans it will cost me around $1.4 per can.
It is given that the price of a package of 10 cans of soup = $14
and the price of an individual can = $2
Now, if I want to purchase at least 25 individual cans there can be two possible ways to do this:
I Purchase 2 packages of the can and then purchase the rest individual cans. Thus, if I have to purchase 25 cans it will cost around: 14 × 2 + 5 × 2 = $38.I Purchase 3 packages of cans. It will cost me around: 3 × 14 = $42. Also, it will give me extra 5 cans.Therefore, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.
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The bottles of soda are sold to the student council in a box weighing 24 pounds. if there are 60 bottles in the box, How much does each bottle of soda weigh
Answer:
2.5 60÷24=2.5 so there is ur answer hope it helps
Stanley bought 16 bags of white rice and 7 bags of brown rice. each bag of rice weighed 13 kilograms. he also bought 17 bags of potatoes. how many kilograms of rice did stanley buy in all?
Stanley bought total 299 kilograms of rice.
To find the amount of rice in kilograms, bought by Stanley, we will perform multiplication and addition.
Weight of 1 bag = 13 kilograms
Weight of white rice = 16 × 13
Performing multiplication to calculate the weight
Weight of white rice = 208 kilograms
Weight of brown rice = 7 × 13
Performing multiplication to calculate the weight
Weight of white rice = 91 kilograms
Total amount of rice bought by Stanley = 208 + 91
Performing addition to calculate the weight
Total amount of rice bought by Stanley = 299 kilograms
Hence, Stanley bought total 299 kilograms of rice.
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A (4,2) and B (6,0) answer m=
Answer: 4 − 1 = 3
Step-by-step explanation: 6 - 2 = 4 32 + 42 = 25 4 − 1 = 3
harold, tanya, and ulysses paint a very long picket fence. harold starts with the first picket and paints every h th picket; tanya starts with the second picket and paints every t th picket, and ulysses starts with the third picket and paints every u th picket. call the positive integer 100h 10
The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.
What is counting theorem?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n methods to carry out both of these acts if there are n ways to execute one activity and m ways to perform another action after that.Now, by the counting principle,
Give the pickets numbers like 1, 2, and so on. If Picket 4 is painted, Ulysses must also paint the remaining Pickets. Let's say Harold paints picket number 4. If Harold and Ulysses both paint picket 7, Ulysses is unable to paint picket 5, so Tanya does. The picket is painted by Ulysses, and (h, t, u) = (3, 3, 3). However, let's say Tanya paints picket 4. Harold paints picket 5 since Ulysses is unable to do so or then there won't be anything left to paint. Ulysses paints picket 7 as a result, and (h, t, u) = (4, 2, 4).Hence, the possible triples are: (3, 3, 3), (4, 2, 4).
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Find the partial sum sn of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.
What is geometric progression?
Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an
Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1
Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Given:
Value of a3 = 36
Value of a6 = 288
n = 5
a3 = ar2 — 1
a6 = ar5
Now, a6 / a3 = ar5 / ar2 = 288 / 36
r3 = 8
Taking cube root both sides, we get,
r = 2
Putting the value of r in equation 1,
a3 = a(2)2
36 = 4a
a = 9
As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)
Sn = 9(2n - 1) / (2 - 1)
Sn = 9(2n - 1)
Using n = 5, we have,
Sn = 9[(2)5 - 1]
Sn = 9(32 - 1)
Sn = 9 × 33
Sn = 297
Hence, the value of the partial sum of a G.P. is 297
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starting with the number 0, build a sequence of 5 numbers
Answer:
0,-1 , -2 ,-3 ,-4 ,-5
Step-by-step explanation:
i think this is the answer but i can't confirm because your theory and my theory can be different
let me know if this was helpful
The diagram shows eight identical squares inside a rectangle.
The length of the rectangle is 30 cm.
Work out the width of the rectangle.
Optional working
Answer: width =
+
cm
The width of rectangle is 20 cm
As is seen in the picture, there are 6 squares at the length of rectangle and 4 squares at the width of rectangle. Also, as per the known fact, each side of square is same. So, we will find the side of square to calculate width of rectangle.
Length of rectangle = 6 × side of square
Side of square = 30 ÷ 6
Side of square = 5 cm
Width of rectangle = 4 × side of square
Width of rectangle = 4 × 5
Width of rectangle = 20 cm
Hence, the width of rectangle is 20 cm.
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3/8 x 11 =
3/4 x 2 =
3/8 * 11 = 4.125
3/4 * 2 = 1.5
4.125 = 33/8 = 4 1/8
1.5 = 3/2 = 1 1/2
Answer:
Hope this helps :)
3/8 x 11 = 33/8 = 4 1/8 (simplified and converted into mixed number)
3/4 x 2 = 6/4 = 1 2/4 = 1 1/2 (simplified and converted into mixed number)
QUESTION 10
ST lies on the coordinate plane with S located at (3,2).
The midpoint of ST is Z at (3,5).
Where is endpoint T located?
OA. (3, 3.5)
OB. (3, 8)
C. (3, 7)
OD. Not enough information.
Solve the following system of equations.
5 a-b=17
3 a+2 b=5
Answer:
a = 3 , b = - 2
Step-by-step explanation:
5a + b = 17 → (1)
3a + 2b = 5 → (2)
multiplying (1) by 2 and adding to (2) will eliminate b
10a + 2b = 34 → (3)
add (2) and (3) term by term to eliminate b
13a + 0 = 39
13a = 39 ( divide both sides by 13 )
a = 3
substitute a = 3 into either of the 2 equations and solve for b
substituting into (1)
5(3) + b = 17
15 - b = 17 ( subtract 15 from both sides )
- b = 2 ( multiply both sides by - 1 )
b = - 2
then solution is a = 3 , b = - 2
pls help
Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2.75 per mile. The total fare was $27.85, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.
The equation can be written as 2.75x + 3.10 = 27.85
The number of miles in the taxi ride is 9
How to calculate the number of miles in the taxi ride ?The taxi company was charged a pick-up fee of $3.10
It also charges $2.75 per mile
The total fare is $27.85
The equation can be written as
2.75x + 3.10 = 27.85
Collect the like terms to get the value of x
2.75x= 27.85 - 3.10
2.75x = 24.75
divide both sides by the coefficient of x which is 2.75
2.75x/2.75= 24.75/2.75
x= 9
Hence the number of miles in the taxi ride is 9
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Answer:
x=9
Step-by-step explanation:
i did it
7. Solve the following: 10,400,000 - 8,200,000 Write your answer in scientific notation.
Answer:
2,200,000=2.2x10^6
Step-by-step explanation:
) find the original price of a pair of boots of the sale price is $120 after a 20% discount
Answer:
$150
Step-by-step explanation:
The sale price is $120. We're looking for 80% of the original price, given this sale price.
[tex]120 = .8p[/tex]
[tex]p = 150[/tex]