Answer:
GD
Step-by-step explanation:
the cost of a can of coca-cola in 1960 was $ 0.10 . the function that models the cost of a coca-cola by year is c ( t )
The cost of the Coca-Cola can will be $1 in the year 2000.
Given that the cost of a can of Coca-Cola can in 1960 = $0.10
The function which models the cost of a Coca-Cola by year 't' is
c(t) = [tex]0.10e^{0.0576t}[/tex].
Here, 't' denotes the number of years since 1960.
c(t) is an exponential function.
We have to find the year in which the cost of a can will be $1.
So substitute c(t) = 1, we get,
1 = [tex]0.10e^{0.0576t}[/tex]
⇒ [tex]10 = e^{0.0576t}[/tex]
We have, [tex]ln(e^x) = x[/tex] .
Taking logarithm on both sides, we get,
log(10) = 0.0576t
⇒ [tex]t=\frac{ln(10)}{0.0576}[/tex] = 39.97 ≈ 40 years .
Thus the cost of a can of Coca-Cola will be $1 in the year, 1960 + 40 = 2000.
The question was incomplete. Find the complete question at:
The cost of a can of Coca-Cola in 1960 , was $0.10. The function that models the cost of a Coca-Cola by year is C(t)=0.10e^(0.0576t) , where t is the number of years since 1960 . In what year is it expected that a can of Coca-Cola will cost $1.00 ?
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what meets a segment at its midpoint at a 90 degree angle?
Answer:
The right angle's vertex.
Step-by-step explanation:
A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.
what are the probabilities that the three subsystems, as well as the entire system, are operational?
Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.
We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.
When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.
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The price of Stock A at 9 A.M. was $12.74. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $13.24. It begins to decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
3 hours
Step-by-step explanation:
but it can be a cent off, so it might be wrong.
The rhombus shown below has been dissected into smaller rhombuses and
equilateral triangles whose side lengths are all unequal positive integers.
Find the smallest possible perimeter of the rhombus.
Answer:
Hello,
Answer 176
Step-by-step explanation:
Very hard as problem.
1. we suppose 2 variables a and b.
we find that b=5a/6
2. One more variable c
we find c=13a/24
3. a must be a multiple of 24 and perimeter is 44*a/6 = 176a/24
can u explain why please, i need a explanation.
Apply the distributive property to factor out the greatest common factor. 40 f + 30
Answer:
10(4f + 3)
Step-by-step explanation:
Both terms here are multiples of 10 hence we can factor out ten which is the greatest common factor resulting in 10(4f + 3)
Select the correct answer. Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? Image of right triangle ABC in a graph with vertices A (minus 4, minus 2), B (4, minus 2), and C (4, 4) A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles. D. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
Answer: B (4 minus 2)
pls solve this question step by step
Answer:
a) 50, b) -40, c) 3Step-by-step explanation:
Arithmetic mean is the average of the numbers.
a) (40 + 60)/2 = 100/2 = 50b) (- 60 - 20)/2 = - 80/2 = - 40c) (7/3 + 11/3)/2 = (18/3)/2 = 6/2 = 3Formula we use is,
→ Mean = (x + y)/2
a) 40 and 60 = ?
→ (40 + 60)/2
→ 100/2 = 50
Thus, the mean is 50.
b) -60 and -20 = ?
→ (-60 - 20)/2
→ -80/2 = -40
Thus, the mean is -40.
c) (7/3) and (11/3) = ?
→ ((7/3) + (11/3))/2
→ (18/3)/2
→ 6/2 = 3
Thus, the mean is 3.
127,056 rounded to the nearest to ten thousand
Answer: 10000
Step-by-step explanation: That is as close to ten thousand as you can get
write as a power of a prime
a) 64
b) 169
c) 625
Answer:
64:2⁶
169:13²
625:5⁴..................
What is the slope of the line that passes through the points (-7, -2) and
(-2, -22)? Write your answer in simplest form.
Answer:
m = -4
Step-by-step explanation:
We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.
The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.
[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]
Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-22--2}{-2--7}[/tex]
Simplify.
m=[tex]\frac{-22+2}{-2+7}[/tex]
Add.
m=[tex]\frac{-20}{5}[/tex]
Divide.
m = -4
The slope of the line is -4.
Topic: slope
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I need help asap!!!!!
Answer:
last one
Step-by-step explanation:
6 3x2/8x2= 6 6/16
6 +5=11
6/16+11/16=17/16
11 17/16
a bag contains 1 gold marbles, 10 silver marbles, and 20 black marbles. someone offers to play this game: you randomly select one marble from the bag. if it is gold, you win $3. if it is silver, you win $2. if it is black, you lose $1.
The expected value is 3/31.
The number of gold marbles in the bag is 1.The number of silver marbles in the bag is 10.The number of black marbles in the bag is 20.The total number of marbles in the bag is 1 + 10 + 20.The total number of marbles in the bag is 31.The amount of money to be won if we select a gold marble is $3.The amount of money to be won if we select a silver marble is $2.The amount of money to be lost if we select a gold marble is $1.The probability of selecting a gold marble is 1/31.The probability of selecting a silver marble is 10/31.The probability of selecting a black marble is 20/31.The expectation value is the sum of the product of probabilities and the corresponding value of the marbles.Expectation = 3(1/31) + 2(10/31) - 1(20/31)Expectation = (3 + 20 - 20)/31Expectation =3/31To learn more about probability, visit :
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English only please
Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
1.4 cubed over 1.2 squared
1.2 squared over 1.4 cubed
1.4 to the eighteenth power over 1.2 to the twenty-fourth power
1.2 to the twenty-fourth power over 1.4 to the eighteenth power
Answer:
2.8 squared
2.6 cubed
2.6 twenty-fourth power
2.6 eighteenth power
its korrect now
The required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six is given as,
x = [1.4³/1.2⁴]⁻⁶
x = 1.4⁻¹⁸ / 1.2⁻²⁴
x = 1.2²⁴ / 1.4¹⁸
Thus, the required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.
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What is 1,837 + 1,283?
Answer:
3,120
Step-by-step explanation:
Does this need an explanation?
Answer:
1,837+1,283= 3,120
Step-by-step explanation:
Hope It Helps
Sorry If I'm Wrong
jackie has a checking account. For each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day. Her current balance in the account is –$12.50. If she does not make any deposits or withdrawals, what will be the new balance in her account after 2 days? Show your work.
The new balance will be -27.50.
How to illustrate the expression?It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.
Since her current balance in the account is –$12.50, the new balance after 2 days will be:
= -12.50 + (-7.50 × 2)
= -12.50 + -15
= -27.50
The balance is -27.50
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pls help will give brainliest !!!!!!!!!
At the beginning of the day, the stock market goes down 70 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 80 3/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
The change for the day is 10 1/4
In this problem, we are expected to calculate the change in the price of a particular stock
Given that the days high is 80 3/4
and also that the days low is 70 1/2
we can calculate the change by subtracting the days low from the days high
i.e 80 3/4- 70 1/2= 323/4-141/2= (323-282)/4= 41/4
hence the change for the day is 41/4 =10 1/4
Also we can calculate the percentage change as
%change = (high-low)/low*100
%change= 80 3/4- 70 1/2/70 1/2*100= 41/4/70 1/2 *100
%change= 41/4*2/141*100
%change= 0.00145=0.145%
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on her desk.
Susan has a box for paperclips
The box is 6 centimeters long, 3 centimeters
wide, and 2 centimeters high. What is the
volume of the box?
Answer:
36 cm³
Step-by-step explanation:
6x3x2 = (36 cm³)
Length x Width x Height
question 12(multiple choice worth 1 points) (03.05 lc) what is the volume of a sphere with a radius of 6 inches? 112π cubic inches 288π cubic inches 290π cubic inches 300π cubic inches
volume of a sphere with a radius of 6 inches is 288π cubic inches.
What is volume of a sphere?A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.
V=43πr3
Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.
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Evaluate each expression. When the answer is not a whole number, write your answer as a simplified fraction.
1. -4 x (-6)
2. -24 x (-7/6)
3. 4 ÷ (-6)
4. 4/3 ÷ (-24)
The result of each arithmetic operation is
1) -4×(-6)=24
2) -24 × [tex]-(\frac{7}{6})[/tex] = 28
3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]
4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]
Part 1
-4×(-6)=24
Part 2
-24 × [tex]-(\frac{7}{6})[/tex] =[tex]\frac{(24)(7)}{6}[/tex]
=[tex]\frac{168}{6}[/tex]
=28
Part 3
4 ÷ (-6) =[tex]-\frac{4}{6}[/tex]
=[tex]-\frac{2}{3}[/tex]
Part 4
[tex]\frac{4}{3}[/tex]÷(-24)= [tex](\frac{4}{3})(-\frac{1}{24} )[/tex]
=[tex]-\frac{4}{24}[/tex]
=[tex]-\frac{1}{18}[/tex]
Hence, the result of the following arithmetic operation is
1) -4×(-6)=24
2) -24 × [tex]-(\frac{7}{6})[/tex] = 28
3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]
4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]
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assuming that the value of x is 4, and the value of y is 6, what is the value of the following expression? (x - y)**2 > y
The result of the expression "(x - y)**2 > y" is -4>6 and it is false.
Information about the problem:
(x - y)**2 > yx = 4y = 6To solve this problem, we have to substitute the values of (x) and (y) and solve the equation:
(x - y)**2 > y
(4 - 6)**2 > 6
-2 ** 2 > 6
-4 > 6
The expression is false because - 4 is not higher than 6. The correct expression is:
(x - y)**2 < y
-4 < 6
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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how do i multiply fractions?
Answer:
The first step when multiplying fractions is to multiply the two numerator. The second step is to multiply the two denominators. finally, simplify the new fractions. The fractions can also be simplified before multiply by factoring out common factors in the numerator and denominator.
example equation: 3/4 x 2/5
1) line equation
3 2
_x_
4 5
2) nominators x nominators, denominators x denominators
3 2 6
_x_=_
4 5 20
4) simplify
6/20=3/10
good luck !!
Which of the following is the solution to 3 | x-1 | > 12?
A. x≤-3 or x >5
B. x > -3 or x > 5
C. x < -3 and x > 5
D. X > 5
Answer:
7
Step-by-step explanation:
8-9-6
what type of measurement scale is used for operating system? nominal scale ordinal scale interval scale ratio scale
We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.
What is nominal scale?A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.
This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.
Other measurement scales include:
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Can someone please help me with this problem? 6 = |x| - 2
Answer:x=8
Step-by-step explanation:because you have to get the x by itself so add 2 to both sides so that's 8=x and its already x you dont have to divide so the answer is 8=x
hope this helps :}
Step-by-step explanation:
If it is absolutle vaules than there will be two solutions
First you want to get the absolute vaule of x by its self
After that you want to set up a postive and negative equation
[tex]8 = |x| [/tex]
[tex] - 8 = |x|[/tex]
Theres your two solutions.
money marilyn is going on a class outing to an amusement park. she has $40 to spend. the admission price is $20. she plans to buy a sandwich for $5. a cup of lemonade costs $3.00. write an inequality to show how many cups of lemonade, c, she can buy.
Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) cups of lemonade from the rest of the money.
Here we have,
Total money to spend= $40
Admission price= $20
Sandwich= $5
Add all expenses to find the money spent by Money Marilyn.
Total expense= admission price + sandwich
Total expense = $20 + $5 = $25
Amount left with her= $40-$25 = $15
The number of cups when each cup's cost is $3
Total lemonade(x) = $15/$3 = $5
In an equality,
Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) lemonades from the rest of the money.
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how do u solve subtraction of number bases
Answer: Say you want to perform the following subtraction in base 5. Borrow a 5 from 3 fives. 3 fives in now 2 fives. Then, add that 5 to the 1 to make it 6.
Step-by-step explanation: there
maths lit scope term 3 grade 10
Answer:
add a pic
Step-by-step explanation: