A farmer is selling watermelons. She has 43 watermelons and plans to sell them for $3 each. The farmer’s total sales, in dollars, is a function of the number of watermelons she sells. Select all the statements that correctly describe the domain or range of this function.
Responses
The domain is the set of all integers from 0 to 43.
The domain is the set of all real numbers from 0 to 43.
The range is the set of all integers between 0 and 129.
The range is the set of all multiples of 3 from 0 to 129.
all that apply
The range is the set of all multiples of 43 from 43 to 129.
Answer:
In summary, the correct statements are:
The domain is the set of all integers from 0 to 43.
The range is the set of all multiples of 3 from 0 to 129.
this is the best i could do, make what you want of it, good luck
Step-by-step explanation:
he domain of this function is the set of all possible inputs, which in this case is the number of watermelons the farmer can sell. Since the farmer has 43 watermelons and cannot sell a fraction of a watermelon, the domain is the set of all integers from 0 to 43. So, the first statement is correct.
The second statement is incorrect because the farmer cannot sell a fraction of a watermelon, so the domain cannot include all real numbers from 0 to 43.
The range of this function is the set of all possible outputs, which in this case is the total sales in dollars. Since the farmer sells each watermelon for $3, her total sales will be a multiple of 3. The minimum sales value is $0 (if she sells no watermelons) and the maximum sales value is $129 (if she sells all 43 watermelons). So, the range is the set of all multiples of 3 from 0 to 129. Therefore, the fourth statement is correct.
The third statement is incorrect because not all integers between 0 and 129 are possible values for the farmer’s total sales. For example, she cannot make $2 in sales because her sales will always be a multiple of 3.
The fifth statement is incorrect because it implies that the farmer can only make sales in multiples of 43, which is not true since she sells each watermelon for $3.
In summary, the correct statements are:
The domain is the set of all integers from 0 to 43.
The range is the set of all multiples of 3 from 0 to 129.
The data give the number of runs scored by opponents of the Boston Red Sox opponents in June 2010.
4, 4, 9, 0, 2, 4, 1, 2, 11, 8, 2, 2, 5, 3, 2, 5, 6, 4, 0
Make a dot plot for the data.
What is the mean?
In June 2010, the Boston Red Sox's opponents scored an normal of3.26 runs.
What's mean?The mean, generally appertained to as the computation mean or average, is a statistical measure of central tendency that's calculated by dividing the sum of a collection of figures by the total number of the figures in the set.
Mean = ( Sum of all the compliances Total number of compliances)
What Is the Median?The middle number in a sorted list of figures is appertained to as the standard. By arranging the figures, the middle number can be discovered. thrusting order is used to arrange the figures. The middle number in the ordered set of figures is appertained to as the data set's standard.
The fleck plot for the handed data is shown then
0 • •
1 •
2 • • • • • • •
3 • •
4 • • • •
5 • •
6 •
8 •
9 •
11 •
We add up all the values and peak by the total number of values to determine the mean
4 4 9 0 2 4 1 2 11 8 2 2 5 3 2 5 6 4 0 = 62
We divide the total by 19 because there are 19 values
62/ 19 ≈3.26
Hence, the Boston Red Sox's opponents scored an normal of3.26 runs in June 2010 against them.
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Find the area of circle when diameter is d
Step-by-step explanation:
Area formula is
\(\pi {r}^{2} \)
and we know that
\(2r = d\)
Isolate r.
\(r = \frac{d}{2} \)
Plug d/2 for r.
\(\pi( \frac{d}{2} ) {}^{2} \)
or
\(\pi( \frac{d}{4} )\)
Additive Inverses are numbers that add to make-101/11
The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:
\(x-x=0\text{ for all values of x}\)Then theanswer is the second option, 0.
write an expression which maximizes the sugar your could gain from street so that you can satisfy your sweet tooth. hint: define m[i]m[i] as the maximum sugar you can consume so far on the i^{th}i th vendor.
To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:
m[i] = max(m[i-1] + s[i], s[i])
Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.
The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.
The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.
To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.
By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.
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The ceiling of Katie’s living room is a square that is 20 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 25 ft of crepe paper.
What is the minimum number of rolls she should buy?
Draw a diagram, show your work and explain your reasoning.
Answer:
Step-by-step explanation:
To calculate the total length of crepe paper Katie needs to buy, we first need to find the length of each diagonal of the ceiling.
Since the ceiling is a square, the length of each diagonal can be found using the Pythagorean theorem:
diagonal^2 = side^2 + side^2
diagonal^2 = 2 * side^2
diagonal = sqrt(2 * side^2)
diagonal = sqrt(2 * 20^2) = sqrt(800) = 20 * sqrt(2)
So the length of each diagonal is 20 * sqrt(2) ft.
Katie needs to hang crepe paper around the perimeter of the ceiling, which is 4 * 20 = 80 ft long.
She also needs to hang crepe paper from each corner to the opposite corner, which means she needs to cover the length of each diagonal twice. So the total length of crepe paper she needs is:
2 * 20 * sqrt(2) + 80 = 40 * sqrt(2) + 80 ≈ 131.31 ft
Therefore, Katie needs to buy at least 6 rolls of crepe paper (since each roll contains 25 ft of crepe paper).
Select the correct answer.
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
Answer:
A) y=3/2x-12
Step-by-step explanation:
Slope intercept formula is y=mx+b
mx is the slope.
B is the y intercept
Answer:
your answer is A
Step-by-step explanation:
i aced that test
Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after 120 degree clockwise rotation about point H?
Regular hexagon ABCDEF is inscribed in a circle with center H, the image of segment BC after 120 degree clockwise rotation about point H is the segment joining the points B' and C', which has endpoints (-0.5r\(\sqrt{3\), -0.5r) and (-0.5r, -0.5r).
Since the hexagon is inscribed in a circle with center H, we can conclude that H is also the center of the circle passing through vertices B, C, and D. Therefore, the circle passing through B, C, and D is also a 120 degree clockwise rotation of the circle passing through A, B, and C.
To find the image of segment BC after a 120 degree clockwise rotation about point H, we need to find the coordinates of B and C relative to H, and then apply a 120 degree rotation matrix to these coordinates.
Let the radius of the circle be r, and let the coordinates of H be (0,0). Then the coordinates of B and C are:
B: (r cos(60), r sin(60))
C: (r cos(0), r sin(0)) = (r, 0)
To apply a 120 degree clockwise rotation matrix, we can use the following matrix:
[ cos(-120) -sin(-120) ]
[ sin(-120) cos(-120) ]
Simplifying, we get:
[ cos(120) sin(120) ]
[ -sin(120) cos(120) ]
Applying this matrix to the coordinates of B and C, we get:
B': [ cos(120) sin(120) ][ r cos(60) ] = [ -0.5r \(\sqrt{3}\)]
[ -sin(120) cos(120) ][ r sin(60) ] [ -0.5r ]
C': [ cos(120) sin(120) ][ r ] = [ -0.5r ]
[ -sin(120) cos(120) ][ 0 ] [ -0.5r ]
Therefore, the image of segment BC after a 120 degree clockwise rotation about point H is the segment joining points B' and C', which has endpoints (-0.5r\(\sqrt{3}\), -0.5r) and (-0.5r, -0.5r), respectively.
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Need help quick please! Find the surface area. Hint you will need to use Pythagorean theorem
Answer:
80
Step-by-step explanation:
How much milk will each child get if 8 children share 1/2 gallon of milk equally?
Rewrite f(x) = −2(x − 3)2 + 2 from vertex form to standard form. (2 points)
Answer:
f(x)=-4x+14
Step-by-step explanation:
These are the way to convert from vertex to stand form
Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;
Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;
stepwise regression is useful if a researcher has many dependent variables and wants to narrow the set down to a smaller number of statistically significant variables. true false
This statement is completely False.
Regression analysis is a statistical method used in the fields of finance, investing, and other disciplines that aim to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
Stepwise regression is an iterative process for building regression models that involves choosing independent variables to be included in the final model. It involves gradually including or excluding potential explanatory factors, and after each iteration, testing for statistical significance. The Stepwise regression is only useful if a researcher has many independent variables and wants to narrow the set down to a smaller number of statistically significant variables, it cannot be useful if the researcher has many dependent variables
Hence the above question's statement is false.
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find the value of x pls help
Answer:
x = 16
Step-by-step explanation:
*A triangle's interior angles always add up to 180 degrees*
1. The square on the left-hand side means 90 degrees
2. To find the degrees on the 150 degrees side we need to subtract 180 from 150 as the line it's on equals 180 degrees
180 -151 = 29
3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle
29 +90 = 119
180 - 119 = 61
4. Now we can put that in with the equation
4x + 3 = 61
5. Solve
4x - 3 = 61
+ 3 +3
4x = 64
/4 /4
x = 16
If a population has 500 individuals in it in 2010, and the per capita birth rate is 0.3 and the per capita death rate is 0.2, is the population growing or shrinking?
The population is growing as the births are more than deaths in an year.
What is Population Growth?Increases in a population's or a dispersed group's membership are referred to as population growth.
Given:
Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2To find: Is population growing or shrinking?
Finding:
Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50Hence the population is growing as the births are more than deaths in an year.
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Consider the following system of equations:
10x1 - 7x2 = 7
-3x1 +2.099x2 + 3x3 = 3.901 5x1 - x2 +5x3 = 6
The solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
(a) x1 = -1.3991, x2 = -2.9987, x3 = 1.9993
(b) x1 = 2, x2 = 1.7776, x3 = 2.9999
(c) x1 = 1.8673, x2 = 1.6676, x3 = 2.0009
(d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088
In the problem,
the given system of linear equations are 10x1 - 7x2 = 7 ...
(i)-3x1 +2.099x2 + 3x3 = 3.901 ...
(ii)5x1 - x2 +5x3 = 6 ...
(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.
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Tyler placed six number tiles labeled 3, 8, 12, 15, 19, and 22 in a box. He picks one of the numbers from the box without looking. What is the probability Tyler will pick a tile labeled with an even number?
Answer:
3/6 or 50%
Step-by-step explanation:
there are 6 total tiles and 3 of them are even
Which is an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity?
0.2d14
negative 2 over quantity 9 times d raised to the fourth power end quantity
72 over d raised to the fourteenth power
2 over quantity 9 times d raised to the fourteenth power end quantity
Answer:
\( \dfrac{2}{9d^{14}} \)
Step-by-step explanation:
The numbers are 4/18 which reduce to 2/9.
d^-5 in the numerator is the same as d^5 in the denominator.
d^9 × d^5 = d^14
Answer: \( \dfrac{2}{9d^{14}} \)
-18t=-3(t+5) distributive property I only have 10 points.
Answer: t=1
Step-by-step explanation:
1. Distribute the -3
-18t=-3t-15
2. Move the -3t to the other side
-15t=-15
3. Divide by -15 to solve for t
t=1
The road leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high. What is the length of the road to the top of the hill?
Answer:
2760
Step-by-step explanation:
23 multiply by 120
=2760
this is the last one i need help on, please help
Answer:
options 4 and 6 I believe
Please help!!!!!!!!!!!
Answer:
x+y=85 and x-y=20
x=85-y x=20+y
85-y=20+y
85-20-y-y=0
65-2y
-2y=65
y=-65/-2
y=32.5
finding x by substituting y=32.5
x+y=85
x+32.5=85
x=85-32.5
x=52.5
.
Expand
Your answer should be a polynomial in standard form -4w(w^2-9)
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}\)
Step-by-step explanation:
\( \sf{ - 4w( {w}^{2} - 9})\)
Distribute -4w through the parentheses
\( \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}\)
Hope I helped!
Best regards! :D
The standard form of the polynomial -4w(w²-9) will be -4w³+36w.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.
The given expression can be converted to the standard form as below,
P = -4w(w²-9)
P = ( -4w) x (w²) + ( 4 x 9w)
P = -4w²+36w
Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.
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If m
A.140
B.60
C.50
D.40
Answer:
140
Step-by-step explanation:
Angle C = 180-A-B
C=180-80-60=40
DCA = 180-Angle C
DCA = 180-40
Can someone tell me which one it is?
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
the discriminant is –16
hope this helps!
The histogram below shows cell phone data usage in megabytes (Mb).
Picture
Using the histogram above, which range best describes the values for the mean and the median data usage?
0 – 100 Mb
100 – 200 Mb
200 – 300 Mb
300 – 400 Mb
Answer:
200 – 300 Mb
Step-by-step explanation:
Becuse 200-300 is in the middle of the graph its a really simple qustion
15% off of $60, then subtracting 10% from that cost, is equal to
Answer:
8.1 i think
Step-by-step explanation:
help me bc a b is stupid...
Answer:
8cm³
Step-by-step explanation:
This is a problem finding volume through water displacement.
When you drop an object in water, its volume is the change in the height of the water.
In picture two the height of the water is at 25, and in picture one the height is at 17.
25-17=8
can someone please help me:)
Answer:
C
Step-by-step explanation:
just did it yesterday hope it helps
A small dog eats 3/4 of a cup of dog food twice a day. Using d for the numbers of days and f for the amount of food write an equation relating variables
Answer:
f = food variable
d = number of days
Equation: f = 1.5d
Point N is on line segment MO. Given NO=14 and MO = 18, determine the length MN
The line segment is drawn below:
MO = 18 units
NO = 14 units
MN + NO = MO
MN = MO - NO
MN = 18 - 14 = 4 units
Therefore, the length MN is 4 units