The set of the whole numbers is the set of all the positive integers and the zero. So we can write it as:
{0, 1, 2, 3, 4, ...}
We will see that:
if k is a whole number, then there are k whole numbers that are smaller than k.
Let's see how we got that:
Now, we know that k is a whole number, then just let's assign different whole numbers to k and count how many whole numbers are smaller than k.
if k = 1
We have 1 whole number smaller than k, that is the zero.
if k = 2
We have 2 whole numbers smaller than k, the zero and the 1.
if k = 3
we have 3 whole numbers smaller than k, {0, 1, 2}
We already can see the pattern.
if k is a whole number, then there are k whole numbers that are smaller than k.
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What is an equation of the line containing (1, -3) and (7, 15)
Answer:
y = 3x - 6
y + 3 = 3(x - 1)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Point-Slope Form: y - y₁ = m(x - x₁)
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
[tex]m=\frac{15-(-3)}{7-1}[/tex]
[tex]m=\frac{15+3}{6}[/tex]
[tex]m=\frac{18}{6}[/tex]
[tex]m=3[/tex]
y = 3x + b
Step 2: Find y-intercept b
-3 = 3(1) + b
-3 = 3 + b
b = -6
Step 3: Write linear equation
y = 3x - 6
or
y + 3 = 3(x - 1)
HELP I WILL GIVE U BRAINLIEST I NEED ANSWER NOW PLEASE!!!!
I need help filling in the equation for #30. My teacher asked me to fill in the blank.
y = ___ - 4x
Quick Flash Gas charges $2.60 per gallon plus a
delivery fee of $150. Best Home Gas charges $2.80 per
gallon and a delivery fee of $95.
a. Write an equation that models when the cost of the
two gas companies would be equal. Solve and interpret
your answer
Answer: 275 gallons.
Step-by-step explanation:
4y2 - 26-8y + 33 - 14y2 + 67y
Can someone help me do this step by step
Answer:
-121 + 7
Step-by-step explanation:
Do some rearanging...
4y^2 - 26 - 8y + 33 - 14y^2 + 67y
4y^2 -8y - 14y^2 + 67y - 26 + 33
= 16y - 8y - 196y + 67y - 26 + 33
= -121y + 7
I did it mentally so I apologize for any mistakes.
Item 21 Find the volume of the prism. Write the answer as a fraction in simplest form. A rectangular prism with length two-fifths centimeter, width one-fifth centimeter, and height one-half centimeter. V = cm3 Item 21 Find the volume of the prism. Write the answer as a fraction in simplest form. A rectangular prism with length two-fifths centimeter, width one-fifth centimeter, and height one-half centimeter. V = cm3
Answer:
1/25 cm³
Step-by-step explanation:
Formula for calculating rectangular prism is expressed as:
V = Base Area × Height
Given
Base Length = 2/5 cm
Base width = 1/5 cm
Height of the prism = 1/2 cm
Volume of the rectangular prism = Area of the rectangular base × Height of prism
Volume = (length×width)×(Height of the prism)
Volume = (2/5×1/5)×1/2
Volume of the prism = 2/25×1/2
Volume of the rectangular prism = 2/50 cm³ = 1/25 cm³
Write the equation in slope-intercept form that corresponds with this table.
The equation in slope-intercept form is therefore:y = mx + b = -x + 4
To write the equation in slope-intercept form that corresponds with the given table, we need to use the slope-intercept formula which is:y = mx + b
where m represents the slope and b represents the y-intercept.The slope formula is given bym = (y2 - y1)/(x2 - x1)where (x1, y1) and (x2, y2) are two points on the line.
To get the equation in slope-intercept form, we need to find the slope and y-intercept from the given table. Then we'll substitute the values of m and b in the slope-intercept formula and solve for y.
Let's first identify two points from the table. We can use any two points on the line. Let's use (0, 4) and (2, 2) as they have nice values for calculations.Using the slope formula, we have:
m = (y2 - y1)/(x2 - x1) = (2 - 4)/(2 - 0) = -2/2 = -1
Substituting the value of slope (m = -1) and one of the given points (0, 4) in the slope-intercept formula,
we get:4 = -1(0) + b
Simplifying, we get:b = 4
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Solve the following linear program
graphically.
Max 5X + 7Y
s.t.
1X ≤ 9
2X + 3Y ≤ 28
X + Y ≤ 12
X, Y ≥ 0
(X, Y) =
To solve the given linear programming problem graphically, we need to plot the feasible region determined by the intersection of the three constraint lines and then identify the corner points within this region to determine the optimal solution. The constraints of the problem are:
1) 1X ≤ 9
2) 2X + 3Y ≤ 28
3) X + Y ≤ 12
4) X, Y ≥ 0 We can start by graphing the equality lines for each constraint. The first constraint, 1X ≤ 9, represents a vertical line passing through the point (9,0). The second constraint, 2X + 3Y ≤ 28, represents a line with an intercept of 9.33 on the Y-axis and a slope of -2/3. The third constraint, X + Y ≤ 12, represents a line with an intercept of 12 on the Y-axis and a slope of -1. After plotting these lines, we can shade the feasible region by considering the inequalities and their directions. The feasible region will be the area where all the constraints are satisfied. Finally, we can identify the corner points within the feasible region and evaluate the objective function 5X + 7Y at each corner point.
The corner point with the highest objective function value will be the optimal solution. Without a visual representation of the graph, it is not possible to provide the exact values of (X, Y) for the optimal solution. However, by following the steps described above, you can determine the optimal solution graphically by identifying the corner point with the highest value of 5X + 7Y.
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WILL MARK BRAINLIEST!
Answer:
[tex]vt = \sqrt{ {20}^{2} + {17}^{2} } \\ = \sqrt{400 + 289 } \\ = \sqrt{689} \\ vw = \sqrt{ {vt}^{2} + {tw}^{2} } \\ = \sqrt{689 + {20}^{2} } \\ = \sqrt{1089} = 33 \\ [/tex]
P(x)=x^4−3x^2+kx−2 where k is an unknown integer
P(x) divided by (x−2) has a remainder of 10.
What is the value of k?
Answer:
k = 4
Step-by-step explanation:
p(2) = (2)^4- 3(2)^2 +k(2) -2 = 10
16 - 12 - 2 + 2k = 10
2 +2k = 10
2k = 10 - 2 = 8
k = 4
Given that z is a standard normal random variable, compute the following probabilities. calculate P(1
You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.
The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.
Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:
P(1 < z < 2) = Φ(2) - Φ(1)
To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.
But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
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Omar has a gift card for $40 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends he would like to buy souvenir bracelets, Which are $3.25 each. All prices include taxes.
A.)3.25x+13.50 40
C.)13.50x+3.25 40
Answer:
C
Step-by-step explanation:
13.50x+3.25 40
compute by hand
Compute the future worth for the following cash flows. 5x 4x 3x 2x i = 12 % x
To compute the future worth of the given cash flows, we need to multiply each cash flow by its corresponding discount factor and sum them up. The discount factor can be calculated using the formula:
Discount Factor = 1 / (1 + i)^n
Where:
i is the interest rate (12% or 0.12 in decimal form)
n is the number of periods
Let's calculate the future worth step by step:
Cash Flow: 5x
Discount Factor = 1 / (1 + 0.12)^1 = 1 / 1.12 = 0.8929 (rounded to 4 decimal places)
Future Worth of 5x = 5x * 0.8929 = 4.4645x
Cash Flow: 4x
Discount Factor = 1 / (1 + 0.12)^2 = 1 / 1.2544 = 0.7972 (rounded to 4 decimal places)
Future Worth of 4x = 4x * 0.7972 = 3.1888x
Cash Flow: 3x
Discount Factor = 1 / (1 + 0.12)^3 = 1 / 1.4049 = 0.7118 (rounded to 4 decimal places)
Future Worth of 3x = 3x * 0.7118 = 2.1354x
Cash Flow: 2x
Discount Factor = 1 / (1 + 0.12)^4 = 1 / 1.5735 = 0.6355 (rounded to 4 decimal places)
Future Worth of 2x = 2x * 0.6355 = 1.2710x
Now, let's sum up all the future worth values:
Future Worth = 4.4645x + 3.1888x + 2.1354x + 1.2710x
= 11.0597x
Therefore, the future worth of the given cash flows is 11.0597x.
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If this rectangle was reflected over the x-axis then translated 5 units to the right to form rectangle A'B'C'D', what would be the coordinates of A?
The coordinates of A after the transformation are (6, 2)
How to determine what would be the coordinates of A?From the question, we have the following parameters that can be used in our computation:
The rectangle
Wheere, we have
A = (1, -2)
When reflected across the x-axis, we have
A' = (1, 2)
When translated 5 units right, we have
A'' = (1 + 5, 2)
Evaluate
A'' = (6, 2)
Hence, the coordinates of A are (6, 2)
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Quick!!!! Homework Due today
Factor completely: ax2 - 3ax - 54a=?
Answer:
For y=Ax? +BX+ +C, a. find y' f'(x) = 3* Ax2+2*Bx+0 f(x) = 3 Ax2+2Bx b. find the value(s) of x so that y'=l. f(0) = 3A(0)2+2B(0) f(0) = 0 c. find y" f''(x) = 2*3Ax+3B(1) f'(x) = 6Ax+3B
Step-by-step explanation:
Weighted-average costs per equivalent unit are $3.00 for direct materials and $3.50 for conversion. There are no transferred-in costs and no spoilage. What is the cost of goods completed and transferred out if 16,000 units are completed and 1,600 units are in ending inventory?
The cost of goods completed and transferred out, given 16,000 units completed and 1,600 units in ending inventory, is $104,000. This is calculated by multiplying the number of completed units by the weighted-average cost per equivalent unit for direct materials and conversion.
In this scenario, 16,000 units are completed and 1,600 units are in ending inventory. The weighted-average cost per equivalent unit for direct materials is $3.00, and for conversion, it is $3.50.
To calculate the cost of goods completed and transferred out, we can use the following formula:
Cost of goods completed and transferred out = (Number of completed units * Weighted-average cost per equivalent unit for direct materials) + (Number of completed units * Weighted-average cost per equivalent unit for conversion)
Substituting the given values:
Cost of goods completed and transferred out = (16,000 * $3.00) + (16,000 * $3.50)
= $48,000 + $56,000
= $104,000
Therefore, the cost of goods completed and transferred out is $104,000.
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Jody is responsible for creating a survey sample. She forgets, however, to include a segment of the population that is relevant to the study. What sort of sampling error has she created? Group of answer choices Census Ethical Systematic Random
Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.
Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.
No calculations are required for this type of error.
Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.
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A salesman keeps 8% of his sales as a commission. How much does he have to sell to earn $20000 in commission?
Answer:
$250,000
Step-by-step explanation:
20000/8=1%=2500
2500*100=250000
Please help me with this question
Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 1) ⇒ c = 1
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of line
(d) If the etror term is mean independent from the regressors x 1,x 2 and x 3
, then we can claim that the OLS estimator
β is unbiased and that each of the entimated parameters are measuring caisal effects. ( 14 points)
The statement provided is false. The assumption that the error term is mean independent from the regressors x1, x2, and x3, also known as exogeneity, is a crucial assumption for Ordinary Least Squares (OLS) regression. However, this assumption alone does not guarantee that the OLS estimator β is unbiased or that each estimated parameter measures causal effects.
Unbiasedness of the OLS estimator relies on several assumptions, including exogeneity, but it also requires other conditions to hold. One important condition is that the error term has zero conditional mean given the regressors. This condition, known as the conditional expectation of errors being zero (E[ε|X] = 0), ensures that there is no systematic bias in the estimation.
Causal interpretation of the estimated parameters requires additional assumptions beyond exogeneity. In order to establish causal effects, researchers often rely on a combination of study design, theory, and additional assumptions such as the absence of omitted variable bias, correct specification of the functional form, and correct model identification.
Therefore, while exogeneity is an important assumption for OLS regression, it alone does not guarantee unbiasedness of the estimator or the ability to interpret estimated parameters as causal effects. Other assumptions and considerations are necessary to make such claims.
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Team Math Minds have a score of -300 They answered five 40-point questions correctly. What is their new score?
solve the literal equation for y
-7x=-15-5y
Answer:
y = -3 +7/5 x
Step-by-step explanation:
-7x = -15 - 5y
-7x + 5y = -15 -5y -5y
-7x +5y = -15
-7x +7x +5y = -15 + 7x
5y = -15 + 7x
5y/5 = -15/5 +7/5x
y = -3 +7/5 x
Slope-intercept form y=mx+bm= slopeb= y-interceptPLEASEEEEE HELP!! BRAINLIEST!!
At Sparrowtown Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes.
According to the Graph provided, what was the rate of change between 2012 and 2014?
Answer:
-2/2
Step-by-step explanation:
change in y is -2, change of x is 2
HELP ASAP WILL GIVE BEAINLIEST AND 30 POINTS!!!!!!!!
Which of the following tables represents a linear relationship that is also proportional
(Choices in photo below)
The table that represents a linear relationship that is also proportional is : x: -4, 0, 4
y: 0, 1, 2
Option D is correct.
How do we calculate?A linear relationship is described as being proportional if the ratio of the dependent variable toy the independent variable x remains constant.
We analyze each table:
Table A:
x: -3, 0, 3
y: 2, 3, 4
We see that the ratio of y to x is not constant as it changes from 2/(-3) = -2/3, to 3/0 (undefined), to 4/3.
Table B
x: -2, -1, 0
y: 4, 2, 0
We see that the ratio of y to x is not constant as it changes from 4/(-2) = -2, to 2/(-1) = -2, to 0/0 (undefined).
Table C.
x: 0, 1, 2
y: -2, 1, 4
The ratio of y to x is not constant and changes from -2/0 (undefined), to 1/1 = 1, to 4/2 = 2.
Table D.
x: -4, 0, 4
y: 0, 1, 2
The ratio of y to x is constant and is always 0/(-4) = 0, 1/0 (undefined), 2/4 = 1/2.
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30 - 3x = 3(x-8) + 6
Answer:
x=8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
30-3x=3x-24+6
-3x-3x= -24+6-30
-6x= -18-30
-6x= -48
x= -48/-6
x=8
Kindly someone tell me the area of circumference
Answer:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56. If you know the radius, the diameter is twice as large.
Step-by-step explanation:
^^^
hoping it was helpful
Leroy’s house is 14.5 feet tall. The Willis Tower in Chicago is 100 times as tall as Leroy’s house.
What is the difference in height between the Willis Tower and Leroy’s house?
Enter your answer in the box.
Answer:
the difference in height is 1435.5 feet
Answer:
The difference in heights is 1435.5 feet.
Step-by-step explanation:
If the Willis tower is 100x as tall as Leroy's house, its height would be 14.5 times 100, which is 14500. 14500-14.5 is 1435.5, which is the difference in heights.
554÷7 with the remainder as a fraction
Answer:
79 1/7
Step-by-step explanation:
I’m new to this app so I don’t know how to give more points but I would appreciate it if you could help
Hi! The answer would be all real numbers!
Hope this helps! :)
Please help me it’s due soon
5) The correct option is C, the equation willl be y = 3n + 7
6) 4z +x = 9x
7) 3y + 2x = 14x
8) 7x = 2y + 3x
How to determine the equation of the line?A general linear equation can be written as:
y = ax + b
If we know two points in the line (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we can use the first two points in the graph (1,10) and (3, 16)
Then the slope is:
a = (16 - 10)/(3 - 1) = 6/3 = 3
So the line is:
y = 3x + b
And we know it passes through (1, 10), then:
10 = 3*1 + b
10 - 3 = b
7 = b
The line is :
y = 3x + 10
So the correct option is c, y = 3n + 7 (the variable is n instead of x).
For the other 3 ones.
Let's define the variables:
x = little circle.
y = bag
z = cylinder.
Then because there is equilibrium in each image, we just need to count how many of each are in each side, and put them in the correspondent sides of an equation, we will get:
6) 4z +x = 9x
7) 3y + 2x = 14x
8) 7x = 2y + 3x
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The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. What is the distance between Raoul's
house and the library?
Answer:
E
Step-by-step explanation:
EA SPORTS> ITS IN THE gAME!!!
