Please help this question.
The temperature of a type of metal decreases from 100°C to T°C according to T = 100(0.9)*
after x second. Calculate
(a) the temperature of the metal after 5 seconds,
(b) the time taken, x, in seconds for the temperature of the metal to decrease from 100°C to
80°C.
Answers
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = [tex]100(0.9)^{x}[/tex]
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 = [tex]100(0.9)^{x}[/tex]
0.8 = [tex](0.9)^{x}[/tex]
By taking log on both the sides
log(0.8) =log[[tex](0.9)^{x}[/tex]]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = [tex]\frac{0.09691}{0.045757}[/tex]
x = 2.1179
x ≈ 2.1179 seconds
Related Questions
Which of the following expressions is equivalent to -10? Which of the following expressions is equivalent to -10?
-7 + 3
-3 - 7
3 - 7
7 - 3
Answers
Answer:
-3-7
Step-by-step explanation:
-3-7=10
Answer:
-3 - 7.
Step-by-step explanation:
-3 - 7 = -10.
A drawer contains three red marbles, four green marbles, and five blue marbles. One marble is taken from the drawer and then replaced. Another marble is taken from the drawer. The problem models: a dependent event. independent events.
Answers
Answer:
independent events
Step-by-step explanation:
dependent is when the previous event affects the outcome of the next event.
Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.
Independent event is when the outcome is not related.
Example like the problem given to you
I need help ASAP!! If you know what you’re doing go ahead and answer but if you don’t, don’t even bother thanks
Answers
Answer:
133.97 cm³
Step-by-step explanation:
The volume of a cone is given by:
[tex]V = \frac13 \pi r^2h[/tex]
r is half the diameter, so 4 cm
h is 8 cm
So:
V= 1/3 * 3.14 * 16 * 8 ≈ 133.97 cm³
Solution: 3.14*r^2 *h/3
r: 8
h:3
3.14*8^2*8/3
What is the y-intercept of the line whose equation is 2x-3y=-6
Answers
Answer:
(0, -2)
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-3y = 6 - 2x
y = -2 - 2/3x
Step 2: Find y-int
y = -2 -2/3(0)
y = -2
(0, -2)
Write the equation in slope-intercept form. y=−6(x−3)+2x
Answers
Answer:
y=-4x+18
Step-by-step explanation:
y=-6(x-3)+2x
Distribute -6 to the (x-3)
y=-6x+18+2x
Combine like terms
y= -4x+18
Answer: y = -4x + 18
Step-by-step explanation:
First do distributive property
y = (-6x + 18) + 2x
Next, combine like terms
y = -6x + 2x + 18
y = -4x + 18
Please help me.. very appreciated if you do
Answers
1 Answer:
D
2 Answer:
B
Step-by-step explanation:
-x ≤ -3all we should do here is multiply both sides by -1 and switch the sign ≤ since we multiplied by a negative number
-x ≤ -3 x ≥ 3x is equal or greater than 3 so 3 is included
3 will be represented by a clored dot
so the graph is D
-6- x ≤ -3again multiply by -1 to get rid of the - signs and switch ≤ by ≥ since it's a negative number
-6 -x ≤ -3 6+x ≥ 3 substract 6 from both sides x+6-6 ≥ 3-6 x ≥ -3x is equal or greater than -3 so -3 is included
the graph is b since there is a dot in -3
sorry i meant to put this picture.. for math
Answers
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
What formula tells the cost, in dollars, if
chocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.
Answers
Answer:
T = $1.50C + $1.00L
Step-by-step explanation:
Chocolate chip cookies - $1.50/dozen
C: # of dozens of chocolate chip cookies
↓
$1.50C
Lemon Frosteds - $1.00/dozen
L: # of dozens of lemon frosteds
↓
$1.00L
T(total) = $1.50C + $1.00L
Hope that helps.
Please answer this question now in two minutes
Answers
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answers
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
What are the coordinates of point S? On a coordinate plane, point S is 0.75 units to the left and 0.5 units up. (Negative three-fourths, one-half) (Negative one-half, negative three-fourths) (One-half, Negative three-fourths) (Three-fourths, one-half)
Answers
Answer:
The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]
Step-by-step explanation:
We are supposed to find the coordinates of point S
Point S is 0.75 units to the left
So, x coordinate of point S = -0.75 = [tex]\frac{-3}{4}[/tex]
Now we are given that point S is 0.5 units up.
So, y coordinate of point S = 0.5 = [tex]\frac{1}{2}[/tex]
So, The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]
So, Option A is true .
Answer:
A -3/4,1/2
Step-by-step explanation:
good luck:)
What is the midpoint of the segment (-1, 5) (5, 5
Answers
Answer:
Midpoint: (2, 5)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in the coordinates into the formula:
x = (-1 + 5)/2
x = 4/2
x = 2
y = (5 + 5)/2
y = 10/2
y = 5
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, it’s value is $15,000. After owning the car for 5 years, it’s value is $9,000. What is the constant of proportionality in this inverse variation?
Answers
Answer: $3,000 per year
Step-by-step explanation: 15,000 divided by 9,000 is 6,000, 5 minus 3 is 2 6,000 divided by 2 equals 3,000.
My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answers
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
To know more about Odd numbers click the link given below.
https://brainly.com/question/16871801
What stamens is converse of p
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isn’t a spade, then 25% of the cards in a deck aren’t spades. If 25% of the cards in a deck aren’t spades, then every fourth card drawn wouldn’t be a spade. If every fourth card drawn isn’t a spade, then 75% of the cards in a deck are spades.
Answers
Answer:25
Step-by-step explanation:
Get monkeyd
After 2.4 hours Jenny had traveled 216 miles. If she travels at a constant speed, how far will she have traveled after 4 hours
Answers
Answer:bruh
Step-by-step explanation:
I couldn’t even tell u
Calculate the measure of arc AG if a=20 and b=10
Answers
Answer:
90°
Step-by-step explanation:
∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.
Arc AG is the other half of the semicircle AGE that includes 90° arc GE.
So, arc AG is 90°.
__
Comment on the problem
"a" and "b" are irrelevant to arc AG. They come into play for arc CE.
Work out the size of angle x.
304°
115)
X
Answers
Answer:
121
Step-by-step explanation:
Angles on a line add up to 180.
180 - 115 = 65
Angles in a circle add up to 360 degrees.
360 - 304 = 56
Angles in a triangle add up to 180 degrees.
180 - 56 - 65 = 59
Angles on a line add up to 180 degrees.
180 - 59 = 121
Following are the calculation to the angle:
Given:
Please find the given question.
To find:
angle=?
Solution:
The sum of all the angles on a line is 180.
[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]
A circle's angles sum up to [tex]360^{\circ}[/tex]
[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]
The triangle's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]
The line's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]
Therefore, the final answer is "[tex]121^{\circ}[/tex].."
Learn more:
brainly.com/question/18255413
1.Un número complejo multiplicado por su conjugado da siempre:
a. (1,0)
b.Un imaginario puro
c.Un número real
d.Un número complejo
2.El conjugado del número complejo -2-5i es:
a. -2
b. 2-5i
c. 2+5i
d. -2+5i
3.El producto de los números complejos 2+3i con 4-5i es:
a. 23 +2i
b. 23-2i
c. -7+22i
d. 7-22i
4.Dados los números complejos Z1: 2+3i Z2: 4-5i ¿Cuál es el cociente entre la conjugada de Z1 con Z2:
a. 23-2i
b. 41 -4i
c. No es posible determinar el resultado
d. 23/41 -(2/41)i
5.Dado que el número imaginario i= √-1 entonces es posible afirmar que i5
a. -i
b. i
c. -1
d. 1
6. siguiente igualdad i17 + i18 =2i es
a. Falsa, porque, i elevado a cualquier núemro es igual a -1
b. Falsa, porque, es imposible que dos potencias imaginarias den el mismo resultado
c. Falsa, porque, el verdadero resultado de i17 + i18 es -i
d. Verdadera, porque, los números complejos también se pueden sumar
7.¿Cuál de las siguientes afirmaciones es verdadera?
a. El conjunto de los números complejos es finito
b. El conjunto de los números resulta de la union de los números reales y los números imaginarios
c. El conjunto de números complejos se encuentra contenido en el conjunto de números reales
d. El conjunto de números Complejos resulta de la union de los números racionales e irracionales
Answers
2. D
3. A
4. D
5. B
6. B
7. B
Which value of x from the set {4, 5, 6, 7), makes this equation true?
4(8 - x) = 8
OA.
4
B.
5
OC. 6
OD.
7
Answers
Hey there! :)
Answer:
C. x = 6.
Step-by-step explanation:
Given:
4(8 - x) = 8
Solve for x. Distribute:
32 - 4x = 8
Subtract 32 from both sides:
-4x = -24
Divide both sides by -4:
-4x/(-4) = -24/(-4)
x = 6.
4. How else can the ratio 4/5 be written?
O A.4:5
O B.5:4
O C.54
O D..2
Answers
Answer:
Answer is option a) 4:5
Step-by-step explanation:
[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
which answer describes the graph of the system of equations?
Answers
Answer:
D, the lines coincide.
Step-by-step explanation:
isolate the y so theres no 2y, only y:
2y = 8 - 2x (divide both sides by 2)
y = 4 - x
The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.
Hope this helps :) Brainliest??
Answer:
its D
Step-by-step explanation:
What is the cost of an $8,000 car including 5½% tax?
Answers
Answer:
$8,440
Step-by-step explanation:
5.5% of 8,00 = 440
8,000 + 440 = 8,440
Answer:
The answer is....................................... $8440
Step-by-step explanation:
Complete the solution to y = cos-1(1).
a) y = 2 pi k
b) y= pi k
c) y = pi ± pi k
Answers
Answer:
a) y = 2 pi kStep-by-step explanation:
Given the solution to the equation y to be cos⁻¹(1)
y = cos⁻¹(1)
y =0°
In trigonometry identity, the general solution for cosine function is expressed as θ = 2kπ ± n, where n is any integer.
Substituting the solution gotten to the equation above into the general formula θ = 2kπ ± n, will give;
y = 2kπ ± n
since we have just one solution, we will find the value of y at n = 0
y = 2kπ ± 0
y = 2kπ
Work out the mean for the data set below: 1, 2, 1, 2, 2, 5 Give your answer as a fraction.
Answers
Answer:
13/6 or 2 and 1/6
Step-by-step explanation:
The mean (or average) is the sum of all elements divided by the amount of elements. In this case that would be (1 + 2 + 1 + 2 + 2 + 5) / 6 = 13 / 6 or 2 1/6
So could someone help me on this
Answers
Answer:
B. -6
Step-by-step explanation:
hope this helps!
Answer:
-6
Step-by-step explanation:
from (-6,-4) to (x,8) there are already 12 spaces in between the y- axis from -4 to 8. So because there are already 12 spaces in between you dont need to add any space between x and -6 so you can conclude that if x is -6 then there will be 12 spaces inbetween because of -4 and 8
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answers
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
Simplify the expression in the following photo.
Answers
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
Segment RT and Segment GJ are chords that intersect at point H. If RH = 6 units, HT = 5 units, and GH = 3 units, what is the length of line segment HJ? A.) 20 B.) 10 C.) 5 D.) 40
Answers
Answer:
B.) 10 i think
Step-by-step explanation:
I need help pls A certain university in the United States has a student enrollment of 19,100. Mr. Hill knows the percentage of students that are male and the percentage of students that are female. Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is a good estimate for the number of enrolled university students that are male?
Answers
Answer:
About 8595 students
Step-by-step explanation:
If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!
Answer:
8595
Step-by-step explanation:
9/11 is the ratio of male to female
9/20 of students are male and 11/20 are female
If total number is 19100,
then male= 19100*9/20= 8595