Answer:
El problema esta incompleto, pero es facil ver que se desea estudiar el enfriamiento de la olla.
Sabemos que la ecuación de enfriamiento de Newton es:
[tex]T (t) = T_s + (T_0 - T_s)*e^{-k*t}[/tex]
Donde t es el tiempo.
[tex]T_s[/tex] es la temperatura del ambiente, en este caso es 12°C
[tex]T_0[/tex] es la temperatura inicial del objeto, en este caso 175°C
k es una constante, que es lo que usualmente se pide obtener en este tipo de problemas.
Reemplazando esos valores en nuestra ecuación obtenemos:
[tex]T(t) = 12 + (175 - 12)*e^{-k*t}\\\\T(t) = 12 + (163)*e^{-k*t}[/tex]
Ahora se nos dice:
"Luego de 10 minutos, la temperatura de la olla será de 100°C"
(estos valores no son necesariamente los del problema, son unos valores genéricos para poder mostrar como se resuelve este tipo de ejercicio)
Entonces, T(10 min) = 100°C
Reemplazando eso en nuestra ecación, obtenemos:
[tex]T(10 min) = 100 = 12 + (163)*e^{-k*10min}[/tex]
Ahora podemos despejar el valor de k resolviendo la ecuación de arriba.
[tex]100 - 12 = (163)*e^{-k*10min}\\\\88 = (163)*e^{-k*10min}\\\\88/163 = e^{{-k*10min}[/tex]
Ahora podemos recordar que:
ln(e^x) = x
Entonces aplicando el logaritmo natural a ambos lados, obtenemos:
[tex]ln(88/163) = ln(e^{-k*10min}) = -k*10min\\\\ln(88/163)/(-10 min) = k = 0.062 min^{-1}[/tex]
Así hemos encontrado el valor de k, y con exactamente el mismo método podríamos encontrar k en cualquier situación de este tipo.
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
find the 80th term following arithmetic sequence 8,14,20,26
Answer:
The 80th term is 482
Step-by-step explanation:
8,14,20,26
This is an arithmetic sequence
Find the common difference by taking the second term and subtracting the first term
14-8 = 6
We are adding 6 each time
The formula for an arithmetic sequence is
an =a1+d(n-1) where a1 is the first term, d is the common difference and n is the term we are looking for
a80 = 8+6(80-1)
= 8 + 6*79
= 8+474
= 482
The 80th term is 482
Answer: 482
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{Rule:} \\\\\boxed{ \huge \boxed{a_n=a_1+(n-1)d }} } \ \ \\\\\\ 8 \underbrace{}_6 14 \underbrace{}_620\underbrace{}_626 ......a_{80}=? \\\\\\a_1=8 \ \ ; \ \ d=6 \\\\\\ a_{80}=8+(80-1)\cdot 6=480+8-6=482 \\\\\\\\ Answer: \boxed{\boldsymbol{ a_{80}=482}}[/tex]
The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°
C 72°
Answer:
we have
f(c)=9/5C+32
now
22°C to °F
°C=22°
we have
f(c)=9/5C+32
f(c)=9/5*22+32=71.6≈72
answer is
22°C=72°F
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]
A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time
A bag contains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a red marble, and without replacing it, then drawing a blue marble? P(red, blue)
Answer:
P(red, blue) = 1/12
Step-by-step explanation:
What is the slope of a line parallel to line B?
pls help quick 10 points
Answer:
6.86 to 2DP.
Step-by-step explanation:
7/12 = 4/DC
Cross multiply:
7DC = 4*12
DC = 48/7
= 6.857.
PLSS HELPP
I already know the answer just help me by plotting them in the graph.
Answer:
plotting the (x,y) coordinates in graph
Find the place value of 8 in 2456.1387.
Tenths
Hundredths
Thousandths
Thousands
Answer: Third Choice. Thousandths
Step-by-step explanation:
Concept:
Here, we need to know the order and name of each place value.
Please refer to the attachment below for the specified names.
Solve:
STEP ONE: Orde and name each place
2 ⇒ One Thousands
4 ⇒ Hundreds
5 ⇒ Tens
6 ⇒ Ones
.
1 ⇒ Tenths
3 ⇒ Hundredths
8 ⇒ One Thousandths
7 ⇒ Ten Thousandths
STEP TWO: Find the number [8] in the number
As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is Thousandths.
Hope this helps!! :)
Please let me know if you have any questions
Help fast pleaseeeeeeee
Step-by-step explanation:
-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 49An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?
Answer: [tex]7.48\ cm[/tex]
Step-by-step explanation:
Given
The equal side of two isosceles triangle are [tex]9\ cm[/tex] long
Base of the triangle is [tex]10\ cm[/tex] long
Median divides the base into two equal halves
from the figure, it can be written
[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]
The length of the segment is [tex]7.48\ cm[/tex]
8w + 19 - 4w = -5? What is the value of w?
Answer:
4w = -5-19
4w=-24
w=-6
hope that answers your question
good luck
From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made
Answer:
18
Girl = g
Boy = b
1g 1b 1g 2b 1g 3b
2g 1b 2g 2b 2g 3b
3g 1b 3g 2b 3g 3b
4g 1b 4g 2b 4g 3b
5g 1b 5g 2b 5g 3b
6g 1b 6g 2b 6g 3b
---------------------------------------
Another way you can do this,
6 × 3 = 18
In the end there will be 18 selections.
A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?
Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side length of the new square?
Answer:
828
Step-by-step explanation:
Multiple the side length by the dilation
36 x 23 = 828
Ryan loves collecting keychains from his family vacations. He currently has 15 keychains in his collection and wants to add 5 keychains each year. How many keychains will be in his collection in 18 years?
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.
Answer:
x =10
y = 10 sqrt(3)/ 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 5 sqrt(3) / x
x sin 60 = 5 sqrt(3)
x = 5 sqrt(3)/sin 60
x = 5 sqrt(3) / sqrt(3)/2
x = 5*2
x =10
tan theta = opp /adj
tan 60 = x/y
ytan 60 = 10
y = x/ tan 60
y = 10/ sqrt(3)
y = 10/ sqrt(3) * sqrt(3)/ sqrt(3)
y = 10 sqrt(3)/ 3
What is the value of A when we rewrite (5/2)^x + (5/2)^x+3 as A x (5/2)^x?
A =
Answer:
A = 16.625
Step-by-step explanation:
Given :-
(5/2)^x + (5/2)^( x +3)To rewrite in :-
A. (5/2)^xAnswer :-
(5/2)^x + (5/2)^(x+3) (5/2)^x + (5/2)^x . (5/2)³ (5/2)^x { 1 + (5/2)³ }Hence :-
A = 1 + (5/2)³A = 1+ 125/8 A = 8 + 125/8 A = 133/8A = 16.625Select the reason why these triangles are
similar. If they are not, select "Not similar."
1
88°
3
2
88
6
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
• 4/2= 6/3
So the 2 sides are congruent and also share same angle between.
• B. SAS is the similarity reason
A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A
Answer: A) 1
Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1please help! will mark brainliest
Answer:
x = 67
Step-by-step explanation:
∠ C = ∠ FGD ( corresponding angles )
Consecutive angles in a parallelogram sum to 180° , then
∠ B + ∠ C = 180 , substitute values
73 + x + 40 = 180
x + 113 = 180 ( subtract 113 from both sides )
x = 67
Answer:
Step-by-step explanation:
<B = <GFE The parallelograms are similar.
<GFD + <GFE = 180 Consecutive angles in a parallogram = 180
<GFD = x + 40 Given
FGE = 73 Step One
x + 40 + 73 = 180 Substitution
x + 113 = 180 Subtract 113 from both sides
x = 67
Anyone wanna help with this please ?
Answer:
y = mx + b
m = slope = -2
To find the y-intercept(b), substitute the points into the function:
-3 = -2(-5) + b
-3 = 10 + b
b = -3 - 10 = -13
Therefore, y = -2x - 13
Answer:
Step-by-step explanation:
use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds
Answer:
Step-by-step explanation:
hello
add me on s
ghazalp2186
love xx
and i dont know the answer
Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81
Answer:
the answer is B
Step-by-step explanation:
because only 48 is dividable by 6
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
Convert this rational number to its decimal form and found to the nearest thousands?
Answer:
7 and 1 respectively
Step-by-step explanation:
1/7= 7 ) 1 (, the basic definition of division
Please help me solve this guys pleasee im struggling
Answer:
see below
Step-by-step explanation:
y = x^2 +2x - 8
Factor
y = ( x+4)(x-2)
The zeros are
x+4 = 0 x-2 = 0
x= -4 x= 2
(-4,0) (2,0)
The axis of symmetry is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
x = -1
The x coordinate of the vertex is at the axis of symmetry
The y value is found by substituting x=-1
y = (-1+4) (-1-2)= 3*-3 = -9
Vertex ( -1,-9)
The domain is all real numbers
The range is from -9 up
y≥ -9 since it opens upward
express the following shaded area using a definite integral. use geometry to calculate the area. please show work too
Answer:
Integrate( sqrt(9-x^2) from x=-3 to x=3)
Step-by-step explanation:
The equation for a full circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and radius is r.
Your center, your (h,k) is (0,0). Your radius, your r, is 3.
So your equation is (x-0)^2+(y-0)^2=3^2 or more simply x^2+y^2=9.
We also must consider we don't have full circle.
Solving for y will give us the circle in terms of top half if we take positive values and bottom half if we take negative values. Since y is positive in the picture, you only see top half, we will only take the positive cases for y.
Subtracting x^2 on both sides gives: y^2=9-x^2
Square root both sides: y= sqrt(9-x^2)
(I did not choose -sqrt(9-x^2) because again y is positive).
So the x's in the picture range from -3 to 3.
The integral is therefore,
Integrate( sqrt(9-x^2) from x=-3 to x=3)
find the trigonometric ratio tan m multiple choice
Answer:
a/b
Step-by-step explanation:
Tan = Opposite/Adjacent
Therefore, Tan M = a/b.
