Answer: b. [tex]x\geq 0[/tex] , where x is the positive real numbers.
Step-by-step explanation:
We Know that, The Set of all Possible values of independent variable is called Domain of the function.
Since, Exponential graph starting at point (0, 30000),
Thus, the initial value of value of independent variable is 0.
Also, The given exponential function is approaching the x axis as it moves left to right.
Therefore, The Domain must contain the all positive real numbers.
Thus, the Domain of the given function is [tex]x\geq 0[/tex] , where x is the positive real numbers.
Therefore, Option b is correct.
Simplify 1/3(9a+b)-1/2(4a+2b)
In 2008, there were 6.7 × 109 people living on earth. What is that number in standard notation?
A.) 6,700,000
B.)6,700,000,000
C.)67,000,000
D.)67,000,000,000
Answer:
B) 6,700,000,000 people.
Step-by-step explanation:
We have been given that in 2008, there were [tex]6.7\times 10^9[/tex] people living on earth. We are asked to convert our given population in standard notation.
While changing scientific notation to standard notation we just move the decimal as many times as the exponent indicates. We can see that our exponent is 9, so we will move the decimal to 9 places right.
[tex]6.7\times 10^9=6.7\times 1000000000[/tex]
[tex]6.7\times 10^9=6700000000[/tex]
Therefore, there were 6,700,000,000 people living on earth and option B is the correct choice.
Answer:
B.)6,700,000,000
Step-by-step explanation:
SO when you have to transform from the scientific notation into standar notation, you just have to move the decimal point to the right the number of positions that the scientific notation has as the exponent, in this case it is 9, so you move one position the decimal point to the right to make the number 67, and then add 8 zero´s to the right:
6,700,000,000
As you can see you moved the decimal point 9 positions to the right.
So that´s how you can convert scientific notation to standard notation.
A computer printer can print a 800-word document in 32 seconds. At this rate, how many seconds are required to print a document that contains 880 words?
Which of the following points lies on the line y = x + 1?
A. (2,3)
B. (2,-3)
C. (-2,3)
D. (-2,-3)
Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression: 75 + 25w + 35m Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points) Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why?
Process average or mean: is computed by dividing the total of the measurements made on the process by the number of measurements used to compute the total approximates the center of the distribution of measurements made on the process a measure of
If the unit selling price is $2.50 and the unit cost is $1.00, what action is need to maintain the gross margin percentage when unit cost increases $0.25
If the odds of the steelers beating the chiefs are 7 to 4, what is the probability of this event happening?
05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 5 inches and the height is 16 inches. The area of the top of the plate is ____ inches squared
Answer: 40 inches squared
Step-by-step explanation:
1. first, you multiply, do 5*16 what does that give you? (80)
2. then, divide your answer by 2 what do you get? (40)
3. lastly, it should look like this: 5*16=(answer)/2=(answer)
hope this helps
Which is a correct first step for solving this equation?
2x−1(5−3x)=4x+2
In 1996, funding for a program increased by 0.62 billion dollars from the funding in 1995. In 1997, the funding increased 0.29 billion dollars over the funding in 1996. For those three years, the funding was 11.25 billion dollars. How much was funded in each of these three years?
the equation of a curve is xy=12 and the equation of a line l is 2x+y=k where k is a constant .In the case where k=11 find the coordinates of the points of intersection of l and the curve.
The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].
According to the statement, we get the following nonlinear system of equations:
[tex]x\cdot y = 12[/tex] (1)
[tex]2\cdot x + y = 11[/tex] (2)
Now we proceed to solve for each variable by algebraic means. By (1):
[tex]y = \frac{12}{x}[/tex]
Then we apply the formula in (2):
[tex]2\cdot x + \frac{12}{x} = 11[/tex]
[tex]2\cdot x^{2}+12 = 11\cdot x[/tex]
[tex]2\cdot x^{2}-11\cdot x +12 = 0[/tex]
Roots are found by the quadratic formula and (1):
[tex]x_{1} = 4[/tex], [tex]y_{1} = 3[/tex]
[tex]x_{2} = 1.5[/tex], [tex]y_{2} = 8[/tex]
The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].
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Write 800 as a product of its prime factors
Let f(x) = -10x-18 and g(x) = -3x, find (f-g)(x)
Which lines are Parallel? Justify your answer
Answer:
Lines e and f are parallel since their alternate exterior angles 75 ad 75 are congruent.
Step-by-step explanation:
Parallel lines mean that angle relationships exits where specific angles are congruent to each other. 75 and 75 are in the position of alternate exterior angles for lines e and f. Since they are congruent, these lines must be parallel. However, a and b have same side exterior angles which must add to 180. 75 + 115 does not equal 180. It equals 190. Therefore a and b cannot be parallel.
Answer:
E and F on edgenuidy
Step-by-step explanation:
did it rn
I need help with a homework assignment:
Write each series in summation notation beginning with k = 1.
1/2 + 2/3 + 3/4 + 4/5 + 5/6
−11 + 12 − 13 + 14 − 15 + 16
9 − 16 + 25 − 36 + 49 − 64
3 + (3/2) + 1 + (3/4) + (3/5)
I get the numbers that go under and on top of the sigma, I need help deriving the explicit value for the sequence that goes on the right of the sigma.
Thanks
Given: F(x) = 3x 2 + 1, G(x) = 2x - 3, H(x) = x
I think it's 2(x+3).
Answer: 2(x+3)
paralyzed;live
1 gallon of paint pour the paint into a paint tray that measures 10 inch wide 10 inch long and 7 cm deep what will happen
1 gallon = 231 cubic inches
7cm = 2.75591 inches ( round to 2.76 )
10 x 10 x 2.76 = 276 cubic inches
there will be more than enough room for the gallon of paint
276-231 = 45 cubic inches of space left over
Y=0, what is x when y=x^2-6x+9
A triangle is dilated by a scale factor of n = 1/3 . Which statement is true regarding the dilation?
It is a reduction because n > 1.
It is a reduction because 0 < n < 1.
It is an enlargement because n > 1.
It is an enlargement because 0 > n > 1
Answer: The second statement is true. It is a reduction because 0 < n < 1.
Step-by-step explanation:
Given: A triangle is dilated by a scale factor of n = 1/3 .
as n is less than 1 but greater than 0.
A dilation is a rigid transformation that forms an image that is the same shape as of the original figure, but with a different size. A dilation transform a figure by scalar factor 'n' about the center of dilation is a fixed point in the plane which never change.
A dilation that forms a larger image is known as enlargement. A dilation that forms a smaller image is known as reduction.
• If n is greater than 1, then the image is an enlargement.
• If n is between 0 and 1, then the image is a reduction .
• If n is 1, the figure and then the image are exactly same.
Answer:
2nd statement
Step-by-step explanation:
Explain why the functions with the given graphs can't be solutions of the differential equation dy dt = et(y − 1)2.
Please see attached document for the graphs:
The functions with the given graphs can't be solutions of
the differential equation dy dt = et(y − 1)2.
(a) won’t work, since it has negative slope on portions of its solutions. The
slope, e t (y − 1)2 , is a nonnegative function.
(b) won’t work, since it has positive slope at y = 1, where the slope must be flat.
Functions with given graphs cannot be solutions to the differential equation dy / dt = e^t(y-1)^2 because their graphs don't satisfy the conditions imposed by the equation, such as non-oscillatory behavior and non-linear variation with time.
Explanation:The question pertains to why certain functions represented by their graphs cannot be solutions to the differential equation dy / dt = et(y-1)2. The explanation lies in the structure of the given differential equation and the properties of function graphs.
Equation dy / dt = et(y-1)2 is a non-linear first order differential equation. To be a solution to this equation, a function's graph must satisfy certain conditions imposed by the equation. However, if certain function graphs represent an undefined curve or if their graphs demonstrate oscillatory behavior, they do not satisfy these criteria.
For instance, the differential equation demands non-oscillatory behavior as seen in the general solution provided in the reference: Yn(x) = Ce-Bx +De+Bx. This form describes a gradual attenuation of y(x), i.e., it does not oscillate. Similarly, if a graph represents a function that varies non-linearly with time (like In[A] vs. Time), it does not represent a solution to the differential equation as well.
Thus, the inability of certain function graphs to satisfy the conditions required by the given differential equation is the reason they cannot be its solutions.
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karens penny bank is 1/5 full. after she adds 280 pennies it is now 7/10 full how many pennies can karens bank hold?
7/10-1/5 = 7/10-2/10 = 5/10 = 1/2
so 280 pennies fills 1/2 of her piggy bank
so 280*2 = 560
her piggy bank can hold 560 pennies
A pool can be filled by one pipe in 4 hours and by a second pipe in 12 hours. How long will it take using both pipes to fill the pool?
The individual pipes can fill the pool in 4 hours and 12 hours respectively then using both pipes together, it will take 3 hours to fill the pool.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Give that,
One pipe can fill the pool in 4 hours.
Another pipe can fill the pool in 12 hours.
The first pipe fills the pool in 4 hours,
So its rate is 1/4 of the pool per hour.
Similarly,
The second pipe fills the pool in 12 hours,
So its rate is 1/12 of the pool per hour.
To find the combined rate, when both pipes are used together,
Add their individual rates:
(1/4 + 1/12) = 3/12 + 1/12 of the pool per hour.
(1/4 + 1/12) = 1/3 of the pool per hour.
Now, to find the time it takes to fill the pool using both pipes,
Take the reciprocal of the combined rate,
1 / (1/3) = 3 hours.
Hence,
Using both pipes together, it will take 3 hours to fill the pool.
To learn more about fractions defined as:
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you are dealt one card from a standard 52 card deck. Find the probability of being dealt a heart
13 hearts
a 13/52 probability.
that reduces to a 1/4 probability of getting a heart
How many ounces are there in a gallon?
and how would I come about solving this?..
Lebron scored a basket 72 times out of 150 shots. what percent of his shots did he score?
a. 42%
b. 50%
c. 48%
d. 63%
how do I solve 12-3(x-5)=21
Can the remainder in a division problem ever equal the divisor? Why or why not
square root of 4 plus 45 over 4 plus 125 over 25
Among 170 households surveyed, 44 have a video camera, 40 have a snapshot camera, 51 have binoculars, 9 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, and 5 have all three products. what is the probability that a household will have a snapshot camera or binoculars? express the answer as a fraction.