a sheep breeding farm counted a total of 40 sheep on their grounds after one year the number of sheep doubled then in the next year the number of sheep doubled again if this trend continues which of the following options represents the number of sheep on the farm by then end of each year
Answers
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
Related Questions
what is the maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6
A. 3
B. 4
C. 5
D. 2
Answers
A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
In the Chang family's budget, 0.6% of the expenses are for internet service. What is the fraction of the family's expenses is for internet service? Write the fraction in the simplest form.
Answers
You probably know intuitively that 100% is one whole, for example. But it's also the same as saying [tex] \frac{100}{100} [/tex]. Likewise, 67%, for instance, is actually [tex] \frac{67}{100} [/tex].
In this case, you can write [tex] \dfrac{0.6}{100}[/tex]. But you may realize that you shouldn't have a decimal in a fraction. For every number after the decimal, you multiply the whole thing by a corresponding power of ten. Here, you write [tex] \dfrac{0.6}{100} * \dfrac{10}{10} = \dfrac{6}{1,000} [/tex]. Since 10/10 is equal to 1, we aren't changing anything (Identity Property). If you had 0.06/100, you would multiply by 100/100, and so on...
So, now we have [tex] \dfrac{6}{1000} [/tex]. Our next step is to simplify. The greatest common factor of these two numbers is 2, we rewrite as [tex] \dfrac{3}{500} [/tex] to put it into simplest form. And that's all there is to it.
Evaluate the expression when y=-5
Y^2-8Y+4
Answers
(-5)^2 - 8(-5) + 4
= 25 - 8(-5) + 4
= 25 + 40 + 4
= 65 + 4
= 69
Hope this helps!
PLEASE HELP!!!!
Which equation matches the graph of the greatest integer function given below?
A. y=[x]-3
B. y=[x]-2
C. y=[x]+2
D. y=[x]+3
Answers
the correct answere is B
What is a counterexample for the conjecture? Any number that is divisible by four is also divisible by eight
Answers
To find other examples, add 8 to 12 to get 20. Then add on 8 more to get 28. This pattern continues on forever.
2 cards are drawn from a standard deck of 52 playing cards. how many different 2-card hands are possible if the drawing is done without replacement?
Answers
[tex] _{52} C_{2} [/tex]= 1326
Final answer:
There are 1326 different 2-card hands possible when drawing without replacement from a standard deck of 52 playing cards, using combinations to calculate it.
Explanation:
To determine how many different 2-card hands are possible from a standard deck of 52 playing cards when drawing without replacement, we need to consider combinations since the order of the cards does not matter. Using the combination formula C(n, r) = n! / (r!(n - r)!), where n is the total number of items and r is the number of items to choose, we calculate C(52, 2).
We have:
n = 52 (total number of cards)
r = 2 (number of cards to choose)
Therefore, the calculation is as follows:
C(52, 2) = 52! / (2!(52 - 2)!) = 52! / (2! * 50!) = (52 * 51) / (2 * 1) = 1326.
So, there are 1326 different 2-card hands possible when drawing without replacement from a standard deck of cards.
The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. mc018-1.jpg How many roots of f(x) are rational numbers?
Answers
Answer: there are 3 root of f(x) which are rational numbers (2,0), (3,0) and (4.5,0)
Explanation:
Rational numbers are those that can be written in the form of p/q: q should not be equal to zero
since, the graph cuts x-axis at three points but rational are two
all integers are rational numbers
attached is the graph please have a look at it
A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
in²
Answers
what is the value of x in the diagram
a.1/2
b.4/21
c.2
d.4
Answers
Hey !!
Check the attachment.
Hope it helps you :)
Answer:
2 so your answer would be C.
What is the solution to this equation?
3(4x + 3) = 2x - 5(3 - x) + 2
Answers
12x + 9 = 2x - 15 + 5x + 2
Collect the like terms.
12x + 9 = 7x - 13
Subtract 7x from both sides.
12x - 7x + 9 = -13
5x + 9 = -13
Subtract 9 from both sides.
5x = - 22
Divide by 9
x = - 22/5
x = - 4.4
Check
=====
3(4*-4.4 + 3) = 2(-4.4) - 5(3 - -4.4) + 2
3(-17.6 + 3) = -8.8 - 5(7.4) + 2
3(-14.6) = - 8.8 - 37 + 2
-43.8 =? - 45.8 + 2
-43.8 = -43.8
And it does check.
Consider the system of equations. x – 3y = 9 1/5x - 2y = -1
Answers
1/5x - 2y = -1---------- (2)
(1):
x - 3y = 9
x = 9 + 3y ----------- (1a)
(2):
1/5x - 2y = -1
x - 10y = -5 --------- (2a)
Sub (1a) into (2a):
9 + 3y - 10y = -5
9 - 7y = -5
-7y = -5 - 9
-7y = -14
7y = 14
y = 2 ---------- Sub into (1a)
x = 9 + 3y
x = 9 + 3(2)
x = 9 + 6
x = 15
Ans: x = 15, y = 2
Answer:
B
Step-by-step explanation:
The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression. A. The initial number of bacteria is 57, and the growth rate is 3.1% per hour. B. The initial number of bacteria is 57, and the growth rate is 31% per hour. C. The initial number of bacteria is 131, and the growth rate is 5.7% per hour. D. The initial number of bacteria is 131, and the growth rate is 57% per hour.
Answers
Answer:
The answer on edgenuity for dividing fractions is -3 on the assignment good luck!
Step-by-step explanation:
the ratio of cookies to glasses of milk is 3:1 if there are 25 glasses of milk how many cookies are there
Answers
$10.00 divided by $1.49
Answers
6.7 is the answer
A radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station. Identify a problem with the study.
A) Some of the sample data are missing
C) The data are based on reported results
D) The correlation between the variables implies causality
Answers
This is a problem because when someone self-reports information it is not always accurate. In some instances, those who self-report are not always honest when filling out survey information.
The correct answer is D) The correlation between the variables implies causality.
What is a survey?A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.
Now it is said that, A radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station.
So, here the problem with the survey that the survey is the self filled thus there is a possibility that the people may not be honest while filling the survey.Hence causing casualities.
Thus the correct answer is D) The correlation between the variables implies causality
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A cruise boat travels 48 miles Downstream in 2 hours and returns Upstream in 3 hours. Find the speed of the boat in still water and the rate of the Stream.
Answers
The downstream speed will be x+y, the upstream speed will be x-y.
but:
distance=speed*time
therefore; as the boat travels in 2 hours downstream we shall have:
2(x+y)=48......i
and as the boat travels upstream we shall have:
3(x-y)=48........ii
simplifying i and ii we get:
x+y=24....iii
x-y=16....iv
adding the above iii and iv we get
2x=40
x=40/2=20
substituting x=20 into iii we obtain:
20+y=24
y=24-20
y=4
so the speed of the boat in still waters is 20 miles per hour
the rate of the stream is 4 miles per hour
Final answer:
The speed of the cruise boat in still water is 20 mph and the rate of the stream is 4 mph.
Explanation:
The student is asking about a problem related to the rate of the boat in still water and the rate of the stream, given the times it takes to travel downstream and upstream. To solve this, we can use the following steps:
Let the speed of the boat in still water be b mph and the rate of the stream be s mph.Downstream, the effective speed is b + s and upstream it's b - s.Using the formula distance = speed imes time, we have two equations based on the given information: 48 miles = (b + s) imes 2 hours for downstream and 48 miles = (b - s) imes 3 hours for upstream.Solve the two equations simultaneously to find the values of b and s.Let's solve the equations:
48 = 2(b + s) => 24 = b + s48 = 3(b - s) => 16 = b - sAdding both equations:
24 + 16 = (b + s) + (b - s) => 40 = 2b => b = 20 mph (boat speed in still water)Subtracting the upstream equation from the downstream equation:24 - 16 = (b + s) - (b - s) => 8 = 2s => s = 4 mph (rate of the stream)Therefore, the speed of the boat in still water is 20 mph and the rate of the stream is 4 mph.
If y varies inversely as x and y is 6 when x is 12 what is x when y is 14.4
Answers
y=k/x
k: It is the constant of variation or constant of proportionality.
2. So, keeping this on mind, you must calculate the value o the constant of variation "k", with the values given in the problem. Then, you have:
k=yx
k=(6)(12)
k=32
3. Now, you can apply the equation y=k/x and clear the "x" to find its value:
yx=k
x=k/y
k=32
y=14.4
4. Then, you have:
x=32/14.4
5. Therefore, the answer is:
x=2.22
the answer is option A. 5
what is the simplified form of 3a4b-2c3?
Answers
The expression 3a4b-2c3 is already in its most simplified form because they are not like terms, thus cannot be combined.
Explanation:The given expression 3a4b-2c3 cannot be simplified further because it consists of variable components. Each of these components -- 3a, 4b, and 2c3 -- represent distinct and separate entities in the equation. Unlike in some mathematics problems, these components cannot be combined or simplified because they are not like terms. In algebra, like terms are terms that contain the same variables and powers. So only if the given equation was 3a + 2a or 4b - 3b, then they could be combined. But as it stands, 3a4b-2c3 is already in its most simplified form.
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A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 130 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last box? Please explain how you get the answer
Answers
1450/130 is 11.15 so You round up and need 12 boxes (because you can’t have .15 of a box) so you get the 11 boxes and multiply by how much it can hold (130) and get 1430 which is 20 short of 1450 so 20 would be in the last box .
12 boxes are needed in all.
Last box will contain only 20 kernels.
Step-by-step explanation:Given is :
The popped corn is put into small popcorn boxes that each hold 130 popped kernels.
There are 1450 kernels in a pound of un popped popcorn.
If all the boxes are filled except for the last box, then how many boxes are needed?
Number of boxes = Total number of kernels/Number of kernel in each box
=> [tex]\frac{1450}{130}= 11.15[/tex]
Therefore, a total of 11+1 = 12 boxes are needed as 11.15 is more than 11.
And the last box will contain = [tex]1450-1430=20[/tex] kernels.
Therefore, the last box will have 20 kernels.
The circle has a diameter of 16 inches. What is the area of the circle?
Answers
Since the diameter given is 16 inches, the radius is 8 inches.
Using the formula, we find that the area is pi*(8 inches)^2 = 64pi inches^2
Mora ate 8.5 Containers of Yogurt one week. Each Container Held 5.4 Ounces Of Yogurt . HOW Many Ounces Of Yogurt Did she eat in all
Answers
Final answer:
Mora ate a total of 45.9 ounces of yogurt after consuming 8.5 containers, with each container holding 5.4 ounces.
Explanation:
The student asked how many ounces of yogurt Mora ate after consuming 8.5 containers, with each container holding 5.4 ounces. Mora ate 8.5 containers of yogurt, with each container holding 5.4 ounces of yogurt. To calculate the total amount of yogurt consumed, we multiply the number of containers by the amount of yogurt each container holds.
To solve this, simply calculate 8.5 containers × 5.4 ounces/container = 45.9 ounces of yogurt in total. This is the total amount of yogurt Mora ate during that week.
X^3-64=0
Solve the equation
Answers
We want to solve for x. Start by getting x by itself on one side.
We can do this by adding 64 to both sides of the equation.
x^3 = 64
Now, to get rid of the 3rd power that x is raised to, we can raise both sides to the 1/3 power
(x^3)^1/3 = 64^1/3
(x^3)^1/3 is the same as x
So x = 64^(1/3) and 64^(1/3) = 4
So x = 4 :)
write an expression that is equivalent to 5 cubed
Answers
5^3 is three 5s multiplied together.
One side of a square flower bed is 22 feet long. How many plants are needed if they are to be spaced 22 inches apart around the outside of the bed?
Answers
12*4 = 48 plants are needed for the outside border.
To find out how many plants are needed, we calculate the perimeter of the square flower bed, convert that to inches, and then divide by the spacing of the plants. In this case, about 48 plants would be needed.
Explanation:This problem can be solved using the properties of a square and unit conversion. Since a square has four equal sides and each side of the square flower bed is 22 feet long, the total perimeter of the flower bed would be calculated as 22 feet * 4, which is 88 feet. Next we need to convert these feet to inches since the plants are spaced 22 inches apart. There are 12 inches within a foot, so 88 feet equals 1,056 inches (88*12).
Once you have the total length in inches, you can determine the number of plants by dividing the total length in inches by the distance each plant is to be spaced. Thus, 1,056 inches divided by 22 inches gives us approximately 48 plants.
So, if you want to space your plants 22 inches apart around a square flower bed where each side is 22 feet, you will need 48 plants.
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Frankie is practicing for a 5-kilometer race. His normal time is 31 minutes 21 seconds. Yesterday it took him only 29 minutes 38 seconds. How much faster was Frankie yesterday than his normal time?
Answers
- 29 min 38 sec
=1 min 47 sec
Its Simple! 1 minute and 47 seconds! You gotta do 31 mins and 21 seconds - 29 mins and 38 seconds! Which give you a whooping 1 minute and 47 seconds! I hope i helped you!
NEED HELP ASAP PLEASE!
Answers
5x + 25 < 85
5x < 85 - 25
5x < 60
x < 60 ÷ 5
x < 12
x < 12
Explanation:
To solve this, we will need to isolate the x on one side of the inequality as follows:
5(x+5) < 85
x+5 < 85/5
x+5 < 17
x+5-5 < 17-5
x < 12
Hope this helps :)
There are 3 grams of sodium in 1/2 of a liter of soda.how much is in 2/3 of a liter
Answers
Mama Mia restaurant used start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 646464 ounces making pasta.
How many pounds of mozzarella cheese did Mama Mia start with?
Answers
Mama Mia restaurant used start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 64 ounces making pasta.
How many pounds of mozzarella cheese did Mama Mia start with?
Let
x---------------> total ounces of mozzarella
we know that
making pizza-----------> (1/2)*x------> x/2
therefore
making pasta-------> [x-x/2]--------> (2x-x)/2-----> x/2
making pizza=making pasta=x/2
(x/2)=64---------------> x=64*2-----------> x=128 ounces
remember that
1 ounces----------------> 0.0625 pounds
then
128 ounces*0.0625=8 pounds
the answer is 8 pounds
The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?
Answers
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
for x of the 2d endpoint of the diameter: x=4*2-2=6;
for y of the 2d endpoint of the diameter: y=6*2-5=7.
answer: (6;7)
Answer:
(6,7)
Step-by-step explanation:
The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5)
Since center is the mid point of two end points of diameter .
So, we will use mid point formula
[tex](x,y)=(4,6)[/tex]
[tex](x_1,y_1)=(2,5)[/tex]
Mid point formula : [tex]x =\frac{x_1+x_2}{2}[/tex] and [tex]y =\frac{y_1+y_2}{2}[/tex]
Substitute the values
[tex]4 =\frac{2+x_2}{2}[/tex] and [tex]6 =\frac{5+y_2}{2}[/tex]
[tex]8 =2+x_2[/tex] and [tex]12 =5+y_2[/tex]
[tex]6=x_2[/tex] and [tex]7=y_2[/tex]
Thus [tex](x_2,y_2)=(6,7)/tex]
Thus the other endpoint of the diameter is (6,7)
Three consecutive even integers add to −6. What are these integers?