Given:
We get the points (5,1), (10, 2), (15,3), and (20, 4) from the table.
Required:
We need to check the relation of the given table.
Explanation:
Recall that in a proportional relationship, one variable is always a constant value time the other.
The form of the proportional relationship is
\(y=kx\)The values x=5 and y=1 can be written as follows.
\(1=(\frac{1}{5})\cdot5\)Here we get k=1/5.
The values x=10 and y=2 can be written as follows.
\(2=(\frac{1}{5})\cdot10\)Here we get k=1/5.
The values x=15 and y=3 can be written as follows.
\(3=(\frac{1}{5})\cdot15\)Here we get k=1/5.
The values x=20 and y=4 can be written as follows.
\(4=(\frac{1}{5})\cdot20\)Here we get k=1/5.
There is a common constant k=1/5.
The table represents the proportional relationship.
Final answer:
The table represents the proportional relationship.
Lol I’m so lazy
Click on the pic there is the question
Answer:
$212.55
Step-by-step explanation:
hope it helps and give brainliest
Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
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9 m
11 m
6 m
4 m
Find the area of this figure.
Answer: 30 for addition and 2376 for multipaction
Step-by-step explanation: Depending on how what algebraic expression.
A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
you divide 712 by .89
A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?
The length of the base of the triangle is 8 yards whose height is half of 28 yards.
What is triangle?A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.
According to question:The following formula provides the area of a triangle:
Area = (1/2) x base x height
We are given that the height of the triangle is half of 28 yards, which is:
height = 1/2 x 28 = 14 yards
We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:
56 = (1/2) x base x 14
Simplifying this equation, we get:
56 = 7 x base
Dividing both sides by 7, we get:
base = 8
Therefore, the length of the base of the triangle is 8 yards.
The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.
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Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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In the function, g(x) = -2x, the independent variable has a value of 6. Find the value of the dependent variable. Type a
numerical answer in the space provided. Do not type spaces in your answer.
Answer:
g(6)
g(x)=-2x
g(6)=-2(6)
g(6)=-12
-12
that the answer
Step-by-step explanation:
\( \frac{47}{5} \)
solve: 2/x+3 - 1/x = -4/x^2+3x
You must show your work and enter your answer below.
The solution of the linear equation is determined as x = -4.
What is the solution of the linear equation?
The solution of the linear equation is calculated by applying the following method as follows;
The given linear equation;
2/x+3 - 1/x = -4/x² +3x
We can start by simplifying the equation and getting rid of the fractions.
Multiplying every term by x will help us achieve that:
2 + 3x - 1 = -4/x + 3x²
Simplifying further:
2 + 3x - 1 = (-4 + 3x²) / x
Combining like terms:
3x + 1 = (-4 + 3x²) / x
(x)(3x + 1) = -4 + 3x²
3x² + x = -4 + 3x²
We can subtract 3x² from both sides:
x = -4
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The following list gives the number of siblings for each of 9 students.
2, 1, 3, 0, 0, 2, 1, 1, 2
Find the mode
Answer:
The mode is 1 and 2
Step-by-step explanation:
Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {2, 1, 3, 0, 0, 2, 1, 1, 2} is 1 and 2 because they both occur three times, which is more than any other number
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Charlie makes a batch of 90 cookies and divides it into smaller batches. If there is 1/3 cup of flour in each small batch, how many batches did he divide his cookies into?
Answer:
3 batches
Step-by-step explanation:
im assuming all the cookies make up a cup of flour? so if one small batch is 1/3 then that means there's two more.
A circle has a diameter of 62.8 cm. What is the length of this circle's radius?
Pls give me an actual answer
Answer:
Step-by-step explanation:
The diameter of the circle is the length of a line going through the middle from one side to the other.
The radius is the length of a line going from the middle of a cricle to the side.
So, the radius is half of the diameter.
62.8÷2=31.4
The radius is 31.4 cm.
What’s the correct answer for this?
Answer:
A
Step-by-step explanation:
Cosine X= adjacent /hypotenuse
where adjacent=5 and hyp=13
Cos X=5/13
I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)
Answer:
Equation: 120=66+2m
Step-by-step explanation:
120=66+2m
120-66=54
54/2=27
m=27
Planet Earth has a mass of \(5.9726 * 10^{24}\\\) kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only \(5 * 10^{-4}\) percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answer:
the estimate of the mass of the planet water be \(2.9863 \times 10^{19}\)
Step-by-step explanation:
The computation of the estimate the mass of the planet's water is given below:
As we know that
The mass of the water would be the percentage of the total mass of the earth
So let us assume the W be the mass of the water
So,
\(= 5\times10^{-4} (1 \div 100) (5.9726\times10^{24})\\\\= 5 \times (5.9726) x 10^{(-4 + -2 + 24)}\\\\= 29.863 \times 10^{18}\\\\= 2.9863 \times 10^{19}\)
Hence, the estimate of the mass of the planet water be \(2.9863 \times 10^{19}\)
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use the mean weight of a random sample of 1,300 carry-on bags to estimate the mean weight of all carry-on bags for the airline. Which of the following best describes the effect on the bias and the variance of the estimator if the researchers increase the sample size to 800?
a. The bias will decrease and the variance will remain the same.
b. The bias will increase and the variance will remain the same.
c. The bias will remain the same and the variance will decrease.
d. The bias will remain the same and the variance will increase.
e. The bias will decrease and the variance will decrease.
Answer:
d. The bias will remain the same and the variance will increase.
Step-by-step explanation:
Sample size and bias:
800 is still a large sample size, so the bias will remain the same.
Variance:
From a data set of size n with mean M, the variance is given by:
\(V = \sum_{i=0}^{n} \frac{(x_i - M)^2}{n}\)
So as we decrease the sample size, variance increases.
So the correct answer is given by option d.
They do have the following relation for a random selection of n elements from a population with a mean of p and variation \(\sigma^2\).
\(\to \mathbb{E} (\bar{x}) = \mu;\\\\\to Var(\bar{x}) = \frac{\sigma^2}{n}\) (where \(\bar{x}\) is the sample mean)
As a result, \(\bar{x}\) is an impartial estimate of the population mean.As a result, bias remains 0 and is influenced by sample size changes.Its estimator's variance, on the other hand, is inversely proportional to n and hence reduces as sample size increases.Therefore, the answer is "Option C".
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Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
what is 745 divided by 6 i need to know or me is not cool
Answer:
124.166666667
Answer:
Its approxiamatly 124.166666667 but if your rounding then its 124.
Step-by-step explanation:
745 / 6 = 124
What is the solution to the following equation? 2(3x-7) +18= 10
A: 1
B: 3
C: 5
D: 6
Answer:
A:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we open the parentheses:
2*3x-2*7+18=10
Now we multiply:
6x-14+18=10
6x+4=10
Now we move +4 to the other side so it will be -4
6x=10-4
6x=6
We divide both sides by 6
x=1
Do nowWhat is the slope of the line shownby the similar triangles in the graphabove?help meee !!!
select 2 points from the triangles that form the line
it can be point A=(-6,-2) and ponint E=(3,1)
use the formula for the slope
\(\begin{gathered} m=\frac{y2-y1}{x2-1} \\ \end{gathered}\)replace the values
\(\begin{gathered} m=\frac{1-(-2)}{3-(-6)} \\ m=\frac{3}{9}=\frac{1}{3} \end{gathered}\)the slope for the line shown is 1/3
Find the area of the isosceles trapezoid.
10 cm
9 cm
18 cm
OA.126 cm²
OB.91 cm²
OC. 252 cm²
OD. 63 cm2
Step-by-step explanation:
therefore, the correct option should be A.
Simplify. (x+y)/(x^2y)-(x-2y)/(xy^2)
Answer:
\({ \tt{ = \frac{(x + y)}{ {x}^{2}y } - \frac{(x - 2y)}{ {xy}^{2} } }} \)
Find the LCM of denominators: x²y²
\({ \tt{ = \frac{y(x + y) - x(x - 2y)}{ {x}^{2} {y}^{2} } }} \\ \\ = { \tt{ \frac{xy + {y}^{2} - {x}^{2} +2xy }{ {x}^{2} {y}^{2} } }}\)
Simplify further:
\( = { \tt{ \frac{(y - x)(y + x) +3xy}{ {(xy)}^{2} } }} \\ \\ = { \tt{ \frac{(y - x)(y + x)}{ {(xy)}^{2} } - \frac{3}{xy} }}\)
The price of some Beats by Dre were reduced from $125 to $100. By what percentage was the price of the Beats reduced?
Answer:
10% of 100=10
20%of 100=20
5% of 100=5
50%=50
125
— 3y +3y + у — 7y = identity and combine liked terms
To comibine liked terms we find the ones that have the same literal part and add the coefficients together
\(\begin{gathered} -3y+3y+y-7y \\ (-3+3+1-7)y \\ -6y \end{gathered}\)this can also be seen as taking a common factor y and adding all the other terms together
An investigator predicts that dog owners in the city spend more time walking their dogs than do dog owners in the country. The investigator gets a sample of 23 city owners and 21 country owners. Do dog owners in the city spend more time walking their dogs than do dog owners in the country?
Answer:
less time
Step-by-step explanation:
because there is more space for them to move around
how do I create equal groups that represent the division fact 28÷4=7?
So to make equal groups just create the number of groups (divisor, in this case: 4) and insert into that the number of the quotient( in this case: 7)
1) Let's make equal groups for that division since 7 added 4 times is equal to 28:
2) Since 7 x 4 is the same as adding 7 four times, we have above four groups with seven balls that added up yields 28, in each group we have 7 balls.
3) So to make equal groups just create the number of groups (divisor) and insert into that the number of the quotient. Note that this is valid just for exact divisions.
Gabe walks from his house to the library then to the gymnasium what is the total distance he walked
Answer:
4.6 and 10.3
Step-by-step explanation: