terry has 30 piecies of gum and guves 2 peaices to each of his friends. identify the independednt and dependednt variables. write a rule in functionnotation for each situation
Answers
Independent Variable: 30 pieces of gum
Dependent Variable: 2 pieces of gum
We predict that independent variables will affect dependent variables. What transpires as a result of the independent variable is known as a dependent variable.
The variable you change or manipulate in an experimental study to examine its effects is known as an independent variable. Because it is unaffected by any other study variables, it is referred to as being "independent."
The variable that alters as a result of the modification of the independent variable is known as a dependent variable. The result that interests you is what you're measuring, and it "depends" on your independent variable.
He has 30 pieces of gum which is the independent, 2 would be the dependent.
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Related Questions
PLEASE HELP !!!
A rectangular flowerbed measures 3 meters by 5 meters. The bed must be dug out and filled with topsoil to a depth of 0.5 meters.
a) Calculate the volume of the topsoil needed to fill the flowerbed.
b) If topsoil is delivered for $78.50/meter, calculate the cost of the topsoil needed.
Answers
B) The cost would be 588.75
Answer:
a) 7.5 meters b) 588.75
Step-by-step explanation:
To calculate the volume you need to multiply the 3 values together so
3x5x0.5 = 7.5
That is the volume
Then you got to multiply that by 78.50 to get the answer for b
78.50x7.5 =588.75
The roots of a quadratic equation a x +b x +c =0 are (2+i √2)/3 and (2−i √2)/3 . Find the values of b and c if a = −1.
Answers
\(\begin{cases} x=\frac{2+i\sqrt{2}}{3}\implies 3x=2+i\sqrt{2}\implies 3x-2-i\sqrt{2}=0\\\\ x=\frac{2-i\sqrt{2}}{3}\implies 3x=2-i\sqrt{2}\implies 3x-2+i\sqrt{2}=0 \end{cases} \\\\\\ \stackrel{ \textit{original polynomial} }{a(3x-2-i\sqrt{2})(3x-2+i\sqrt{2})=\stackrel{ 0 }{y}} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{ \textit{difference of squares} }{[(3x-2)-(i\sqrt{2})][(3x-2)+(i\sqrt{2})]}\implies (3x-2)^2-(i\sqrt{2})^2 \\\\\\ (9x^2-12x+4)-(2i^2)\implies 9x^2-12x+4-(2(-1)) \\\\\\ 9x^2-12x+4+2\implies 9x^2-12x+6 \\\\[-0.35em] ~\dotfill\\\\ a(9x^2-12x+6)=y\hspace{5em}\stackrel{\textit{now let's make}}{a=-\frac{1}{9}} \\\\\\ -\cfrac{1}{9}(9x^2-12x+6)=y\implies \boxed{-x^2+\cfrac{4}{3}x-\cfrac{2}{3}=y}\)
|6x|+3=21 solve for X (absolute value)
Answers
Answer:
\(x=3\text{ or } x=-3\)
Step-by-step explanation:
So we have the equation:
\(|6x|+3=21\)
First, subtract 3 from both sides:
\(|6x|=18\)
Definition of absolute value:
\(6x=18\text{ or } 6x=-18\)
Divide both sides by 6 for both equations:
\(x=3\text{ or } x=-3\)
And we're done!
Answer:
\(x=3\) and \(x=-3\)
Step-by-step explanation:
\(\left|6x\right|+3=21\\\)
Subtract 3 to both sides:
\(\left|6x\right|+3-3=21-3\\|6x|=18\)
Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.
Thus,
Case 1:
\(6x=18\)
Divide both sides by 6:
\(x=3\)
Case 2:
\(6x=-18\)
Divide both sides by 6:
\(x=-3\)
Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answers
Answer: 450
Step-by-step explanation: 95+115+240=450
Two different groups in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The population mean and standard deviation are unknown. The sample from the first group survey has 49 data values. The sample from the second group survey has 81 data values. For each sample, the groups construct a 90% confidence interval to estimate the population mean. Which confidence interval will have greater precision (smaller width) for estimating the population mean
Answers
Answer:
Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.
Step-by-step explanation:
Margin of error of a confidence interval:
The equation for the margin of error of a confidence interval has the following format:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which z is related to the confidence level, \(\sigma\) is the standard deviation of the population and n is the size of the sample.
From this, we can infer that a larger size leads to a greater precision of the interval, that is, a lesser margin of error.
In this question:
The sample from the first group survey has 49 data values, and from the second group has 81.
Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.
Here are the numbers of supporters at five different ice hockey matches.
75,600
7,506
75,650
7,056
75,026
What is the difference between the largest number of supporters and the smallest?
Answers
Answer: 68,594
Step-by-step explanation: Take the largest number 75,650 and subtract the smallest number 7,056.
75650 - 7056 = 68,594
HELLLP!!!!!
two major cities each have a population of 25,000 people. the population of city A increases by about 260 people per year. the population of city B increases by about 1% every year.
Answers
Answer:
City A
Year 0: 25,000
Year 1: 25,260
Year 2: 25,520
Year 3: 25,780
Year 4: 26,040
Year 5: 26,300
City B
Year 0: 25,000
Year 1: 25,250
Year 2: 25,502
Year 3: 25,757
Year 4: 26,014
Year 5: 26,274
In year 5 City B will have a larger population. City B has a more exponetial model while City A is more linear model.
Step-by-step explanation:
The points A, B, and C, shown on the number line, have weights 0.5, 0.3, and 0.2 respectively.
H
в с
2 3 4 5 6 7 8
9 10
Which statement is true about the weighted average, w, of the points A, B, and C?
w lies before A.
w lies beyond C.
w lies between A and B.
w lies between B and C.
Answers
Answer:
"w" (and any subsequent words) was ignored because we limit queries to 32 words.
w = 0.33 so, w lies before A, B, and C.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Average weight.
w = Sum of all the weight / 3
w = (0.5 + 0.3 + 0.2) / 3
w = 1/3
w = 0.33
Now,
A = 3, B = 6, and C = 7 on the number line.
0.33 lies before A, B, C
Thus,
w lies before A.
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to make a certain shade of green paint mix 2/3 cup yellow paint and 3/4 cup of blue paint
Answers
Answer:
17/18 green paint
Step-by-step explanation:
u just add and do multiple action more to find it
3 and 4 aren’t common denominators so let’s find a multiple.
12 is a multiple of both of them. what we do to the bottom we do to the top.
8/12+9/12
that equals 17/12
we can simplify to 5/12
and 5/12 is the answer :)
A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
Answers
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
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What is the value of the sum?
Drag and drop the answer into the box to match the sum with its value.
-7/9+2/3
Answers
8 less than the sum of 9 and s
Answers
8 - (9 + s)
Is this it?
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
Answers
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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Simplify . (1/c + 1/h)/(1/(c ^ 2) - 1/(r ^ 2))
Answers
Answer:
\(\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)
Step-by-step explanation:
\(\frac{\frac{1}{c}+\frac{1}{h}}{\frac{1}{c^2}-\frac{1}{r^2}}\)
Combine \(\frac{1}{c} + \frac{1}{h}\)
\(\frac{\frac{h+c}{ch}}{\frac{1}{c^2}-\frac{1}{r^2}}\)
Combine the bottom, too.
\(=\frac{\frac{h+c}{ch}}{\frac{r^2-c^2}{c^2r^2}}\)
Apply the fraction rule
\(=\frac{\left(h+c\right)c^2r^2}{ch\left(r^2-c^2\right)}\)
Cancel
\(=\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)
Therefore, \(\frac{\left(\frac{1}{c}+\frac{1}{h}\right)}{\left(\frac{1}{\left(c^2\right)}-\frac{1}{\left(r^2\right)}\right)}:\quad \frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)
PLEASE HELP (failing this class and this is a 100 point assignment) (i mark brainlist)
Answers
Which of the following symbols would replace the O and create an inequality with no solutions?
x 3 and x <3
>
VI
IV
<
Answers
The symbol which would replace the O and create an in equality with no solution is; > (greater than)
InequalitiesThe two inequalities given according to the attached image are;
x O 3 and x<= 3.We are required to identify which symbol would replace the O and create an inequality with no solutions.
In essence, since the other inequality is; x<= 3.
We can conclude that a contradictory inequality would be; x > 0.Therefore, the required replacement is; >Read more on inequalities;
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Mark what answer it is
Answers
2/29
the i is imaginary
Megan, a supermarket employee, approached 50 random customers and asked whether they would be willing to discuss what they liked most about the store. She interviewed the 10 who said yes.
Is this sample of the supermarket's customers likely to be biased?
Answers
Based on the information, the sample of the supermarket's customers is likely to be biased as only those who said yes we're considered.
What is bias?In statistics, the term "bias" refers to a consistent departure from the true value. As a simple increase in sample size cannot be used to decrease it, this sampling process may provide the researcher with some major issues. The bias is the discrepancy between the parameter's actual value and its expected value.
It should be noted that based on the information, Megan interviewed the 10 who said yes.
Therefore, the sample of the supermarket's customers is likely to be biased as only those who said yes we're considered.
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A driver has only 10minutes to cover a distance of kilometers at what speed must he drive in order to cover the distance on time A driver has only 10minutes to cover a distance of 5 kilometers at what speed must he drive in order to cover the distance on time
Answers
Answer:
30km/hr
Step-by-step explanation:
10min=0.166hr
v=5km/0.166hr
=30km/hr
5=speed*10/60
Speed=30km/hour = 8.33meter/second
When m= 2 and p=4.1= 32. If j varies directly with m and inversely with p, what is the constant of variation?
♡
16
64
256
Answers
Answer:
j=k.m×1/p
j=k.m/p
32=k × 2/4.1
32=2k/4.1
2k=32×4.1
k=(32×4.1)÷2
k=65.6
therefore constant variation K=65.6
Answer:
A. 4
Step-by-step explanation:
Correct on edge 2021!!!
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
Answers
6 pounds * $1.50 per pound = $9
Then, we can subtract the discount:
$9 - $2 = $7
Since Nicole and her friend split the cost evenly, we can divide $7 by 2:
$7 / 2 = $3.50
Therefore, each of them paid $3.50 for the apples.
The expression that can be used to determine this is:
($6 * $1.50 - $2) / 2 = $3.50
where $6 is the total cost of 6 pounds of apples at $1.50 per pound and $2 is the discount
using monitoring the gfture 2017 data, we examline whther a relationshiop exists bewteeen the race/thnicity of a studetn and how the studetn rates the impoiratnace being a community
Answers
Community colleges in the United States play an important role in higher education. In United States, everyone monitors they community colleges are primarily her two-year institutions of higher education that focus on teaching and learning and workforce preparation.
Community colleges are open access institutions that offer economically affordable entry into higher education. About half of first-time college-going students enroll in community colleges, which serve as her transition route to four-year colleges (Beach, 2011). However, despite the important role and primary focus of community colleges, students may view community college instruction as inferior and undesirable to her four-year college (Dougherty, Lahr, & Morest, 2017; Twombly, 2001; Twombly & Townsend, 2008). This general dissatisfied view of community college instruction has much to do with the historical legacy of community colleges, where most two-year schools are either officially called "junior colleges" or "junior colleges." is called Community colleges have reason to brag about progress. It tends to have a higher proportion of female and minority teachers compared to traditional her four-year colleges (Antonio, 2002; Marcotte, Bailey, Borkowski, & Kientz, 2005; Turner, 2001). While the high recruitment rate of minority teachers is laudable, most higher education institutions are still predominantly white and male dominated (with the exception of those serving minorities). Overall, despite the high proportion of women and minority teachers, empirical studies show that such teachers experience high levels of stress and frustration with the way students are treated in the classroom. (Allen et al., 2002; Pittman, 2010). For many teachers and teachers of color, the classroom environment serves as a reminder of the unfortunate social ills that plague our society (Harlow, 2003; Seo & Hinton, 2009).
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One month Trey rented three movies and five video games for a total of $35. The next month he rented six movies and two video games for a total of $20. Find the rental cost for each movie and each video game.
Answers
The rental cost for each movie and each video game is 2.25.
One month Trey rented three movies and five video games for a total of 35.
3 M + 5V = 33
6 M + 2 V = 24
Divides bottom equation by 2:
3 M + 5 V = 35
3 M + V = 20
subtracts:
4V = 21
V = 21/4 = $5.25
3 M + 5.25 = 12
3 M = 6.75
M = 2.25
Let x = cost to rent a movie and y = cost to rent a video game
3x + 5y = 33
6x + 2y = 24
Multiply the first equation by -2:
-6x - 10y = -66
6x + 2y = 24
Add the equations to get -8y = -42
So, y = 5.25 and x = 2.25.
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can anybody help me with this?
Answers
Answer:
Option (a)
Step-by-step explanation:
\(\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}\)
El triple de un número es 21
Answers
Answer: la respuesta es 7
Step-by-step explanation:
Tres veces 7 es 21
DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answers
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
am a 4-digit number. My thousands digit is greater than 6, but less than 8 My hundreds digits is the highest even number. and ones The sum of my tens cligit a digit is equal to my hundreds digit. My tens digit is 6. Who am I?
Answers
Answer:
From the given information, we know that:
The thousands digit is greater than 6 and less than 8, so it must be 7.
The hundreds digit is the highest even number, so it must be 8.
The tens digit is 6.
The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.
Solving for the ones digit, we get:
ones digit = 8 - 6 = 2
Putting the digits together, we get the number: 7862.
So, the 4-digit number that satisfies all the given conditions is 7862.
Step-by-step explanation:
Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.
Explanation:Given the hints, we can infer that:
The thousands digit is greater than 6, but less than 8, so it can only be 7.The hundreds digit is the highest even number, which is 8.The tens digit was specifically said to be 6.The sum of the tens and ones digit is equal to the hundreds digit. The tens digit is 6 and the hundreds digit is 8, so the ones digit must be 2 because 6 + 2 = 8.Therefore, the 4-digit number is 7862.
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The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).
Answers
Answer:
Step-by-step explanation:
Let the lowest integer be x, then:
x + x + 1 + x + 2 + x + 3 = -28.
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Answers
W(x) - C(x) = 2(W(x) - C(x))
Solving this equation for C(x), we get:
C(x) = (W(x) - 2W(x))
= W(x)(1 - 2)
= (5x3 + 9x2 - 14x + 9)(1 - 2)
= (5x3 + 7x2 - 14x + 6)
Therefore, the function C(x) to model the water used by the car wash on a shorter day is:
C(x) = (5x3 + 7x2 - 14x + 6)
What is the simplified value of the exponential expression 273?
Answers
Answer:
3
Step-by-step explanation:
27^1/3
= 3√27
=3 is the collect option