We know that
• The slope is 1/2.
,• The x-intercept is a (4,0).
To find the equation of this straight line, we have to use the point-slope formula
\(y-y_1=m(x-x_1)\)Now, we replace all given values
\(\begin{gathered} y-0=\frac{1}{2}(x-4) \\ y=\frac{1}{2}x-2 \end{gathered}\)Therefore, the slope-intercept form is
\(y=\frac{1}{2}x-2\)The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
What set of reflections would carry hexagon ABCDEF onto itself?
Hexagon ABCDEF on the coordinate plane with point A at negative 1, 1, point B at negative 3, 1, point C at negative 4, 2, point
(4 points)
x-axis, y=x, x-axis, y=x
y=x, x-axis, y=x, y-axis
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis
Answer:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.
Step-by-step explanation:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.
College students, in many instances, make a decision on where to live near campus based on price and the number and type of amenities available. If one wants to examine this relationship, the _____ will be the predictor variable.
If one wants to examine the relationship between college students' decision on where to live near campus and their academic performance, the predictor variable would be the "decision on where to live near campus."
The decision on where to live near campus refers to the choice made by college students regarding their residential location in relation to their educational institutions.
This variable encompasses various factors, including proximity to campus, housing costs, availability of amenities, and other relevant considerations.
By investigating this predictor variable, researchers can analyze how students' living arrangements impact their academic performance.
They can explore whether students who choose to live closer to campus or in areas with certain amenities have better academic outcomes compared to those who choose different living arrangements.
To examine this relationship, researchers would collect data on students' living arrangements, such as whether they live on-campus, off-campus, or commute from a distance.
They would also collect data on academic performance measures, such as GPA, course grades, or graduation rates.
By comparing these variables, researchers can determine if there is a correlation or association between living decisions and academic performance.
Understanding the relationship between living decisions and academic performance can provide insights into factors that contribute to student success.
It can inform university housing policies, support services, and provide guidance to students in making informed decisions about their living arrangements during their college years.
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Question: The complete question may be like: If one wants to examine the relationship between college students' decision on where to live near campus and their academic performance, the _____ will be the predictor variable.
Consider the following IS-LM model: C=217+0.51Y D I=156+0.16Y−1,038i G=254 T=203 i=0.04 The IS equation is determined to be Y=1,586.27−3,145.45. The LM equation is given as i=0.04. Using the IS and LM equations, the equilibrium real output, Y, is (Round your response to the nearest integer.) Using the IS-LM model, the equilibrium value of consumption, C, is (Round your response to the nearest integer.)
In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.
The IS equation is given by: Y = 1,586.27 - 3,145.45i.
The LM equation is given as: i = 0.04.
To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:
Y = 1,586.27 - 3,145.45 * 0.04.
Calculating the right side of the equation, we have:
Y = 1,586.27 - 125.82,
Y ≈ 1,460.
Therefore, the equilibrium real output, Y, is approximately 1,460.
To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:
C = 217 + 0.51Y.
Substituting Y = 1,460, we have:
C = 217 + 0.51 * 1,460.
Calculating the right side of the equation, we find:
C ≈ 984.
Therefore, the equilibrium value of consumption, C, is approximately 984.
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Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
Question 2 options:
True
False
Answer: false
Step-by-step explanation:
If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
12
13
14
The value of x for which (f - g)(x) = 0 is x = 12.
To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:
(f - g)(x) = f(x) - g(x)
= (16x - 30) - (14x - 6)
= 16x - 30 - 14x + 6
= 2x - 24
Now, we can set the expression equal to zero and solve for x:
2x - 24 = 0
Adding 24 to both sides:
2x = 24
Dividing both sides by 2:
x = 12
Therefore, the value of x for which (f - g)(x) = 0 is x = 12.
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Jalal has a hat collection. the ratio of baseball caps to
cowboy hats in his hat collection is 12:13. which ratio is
equivalent to 12:13?
The equivalent ratio to 12:13 is 24:26.
What is ratio?Ratio is a mathematical expression of the relationship between two or more values. It is a comparison of the size of one number to the size of another number. Ratios are typically expressed as a:b, where a and b are two numbers that are being compared. Ratios can be used to compare things such as speed, distance, time, and mass. Ratios are also used to compare the relative size of two or more quantities.
This ratio is equivalent because the two ratios have the same proportion: for every 12 baseball caps, there are 13 cowboy hats. By doubling the first ratio, the second ratio has the same proportion. Therefore, the equivalent ratio to 12:13 is 24:26.
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Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]
Answer:
Sorry
Step-by-step explanation:
I not know this one
4x - 2y + 7z² when x = 2, y = 5, and z = 8
Answer:
446
Step-by-step explanation:
x = 2
y = 5
z = 8
4x = 4*2 = 8
-2y = -2*5 = -10
7z^2 = 7 * 8^2 = 7 * 64 = 448
8 - 10 + 448 = 446
Answer:
\(446\)
Step-by-step explanation:
\(4x - 2y + 7z^{2}\)
\(x = 2\)
\(y = 5\)
\(z = 8\)
\(4\left(2\right)-2\left(5\right)+7\left(8\right)^2\)
Multiply 4 and 2 to get 8
\(8-2\times 4+7\times8^{2}\)
Multiply 2 and 5 to get 10:-
\(8-10+7\times8^{2}\)
Subtract 10 from 8 to get -2, and then calculate 8 to the power of 2 and get 64:-
\(-2+7\times 64\)
Multiply 7 and 64 get 488:
\(-2+448\)
Add -2 and 488 to get 446
\(446\)
OAmalOHopeO
How many M is 5 foot 4 inches?
1.6256 Meters in 5 foot 4 inches
How to convert feet to inches?So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit themConversion of feet into inches where in both are imperial units of measuring length. The standard unit to measure the length in centimeters. One feet is equal to 12 inchesThis is my height also, I am 5'7"tall. The conversion factor I remember is that there are 2.54 centimeters in 1 inch, so first I would change the feet to inches. 5 12 = 60 so 5'7" = 67"To learn more about convert feet to inches refers to:
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There are 1.6256 Meters in 5 foot 4 inches
How do you convert an inch to a foot?As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.
Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.
This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.
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Identify the independent and dependent quantities and their units.David rode his bike to the park. After staying at the park for a while, he continued his ride to thegrocery store. The graph shown represents this situation.
when the time is between 0 and 15 minutes, the distance depends on the time on a relation: d =(1/10)t
when the time is between 15 and 40 minutes, the distance is independent of the time, it is fixed d = 1.5 miles
when the time is between 40 and 50 minutes, the distance depends on the time on the relation: d = 1.5 + (1/10)(t - 40)
To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .
Answer:
(- 1, 4 ) is a solution to the equation
Step-by-step explanation:
Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution
Given
3x + 8y = 29, then
3(- 1) + 8(4) = - 3 + 32 = 29 = right side
Thus (- 1, 4 ) is a solution of the equation
Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift, 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that? shift, what is the probability that he will find less than 20 substandard welds? Round to four decimal places.
A. 0.0934
B. 0.9066
C. 0.4066
D. 0.5934
The probability that Smith will find less than 20 substandard welds is approximately A. 0.0934.
To calculate the probability, we can use the binomial probability formula. In this case, Smith checks 300 welds out of a total of 7500 welds completed during the shift. The probability of any single weld being substandard is 5% or 0.05.
Using the binomial probability formula, we can calculate the probability of finding less than 20 substandard welds. This involves summing the probabilities of finding 0, 1, 2, ..., up to 19 substandard welds.
Calculating this probability involves a time-consuming process. However, using a statistical software or calculator, we can quickly obtain the probability. The result is approximately 0.0934.
Therefore, the correct answer is: A. 0.0934
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Jonathan is looking to buy a car and the he qualified for a 7-year loan from a bank offering an annual interest rate of 3.9%, compounded monthly Using the formula below, determine the maximum amount Jonathan can borrow, to the nearest dollar, if the highest monthly payment he can afford is $300
Please answer as quickly as possible
A). Surface area of option1 is 256.85 in²
surface area of option 2 is 309.35 in²
surface area of option 3 is 223.1 in²
B) volume of option 1 is 249.8 in³
volume of option 2 is 249.8 in³
volume of option 3 is 249.8 in³
C). The volumes are thesame
D). I will choose container 3
What is surface area and volume of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A. The surface area of a cylinder is expressed as;
SA = 2πr(r+h)
for option 1
SA = 2 × 3.14 × 5( 5+3.18)
= 31.4 ( 8.18)
= 256.85 in²
For option 2
SA = 2 × 31.4 × 6( 6+2.21)
= 37.68( 8.21)
= 309.35 in²
for option 3
SA = 2 × 3.14 × 3 ( 8.84+3)
= 18.84 × 11.84
= 223.1 in²
B. For volume, the volume of the cylinder is expressed as;
V = πr²h
for first option
V = 3.14 × 5² × 3.18
V = 249.63 in³
For option2
V = 3.14 × 6² × 2.21
V = 249.8 in³
for option 3
V = 3.14 × 3² × 8.84
V = 249.8 in³
C. The cylinders have different surface areas but almost thesame volumes
D. I will advice the company to choose option 3 because it has the lowest surface area and the cost of producing the container will be lesser to others.
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hich of the these are steps for a proof by mathematical induction that P(n) is true for all positive integers n? a. Verify that P(1) is true. b. Demonstrate that the conditional statement Plk) implies Plk+1) is true for all positive integers k. c. Verify that P(1), P(2), P(3), ..., P(k) are all true, where k is a specific large, positive integer. d. Demonstrate that if P(k) is false, then Plk+1) is false for all positive integers k. e. Demonstrate that P(k+1) implies plk) is true for all integers k.
The steps for proof by mathematical induction that P(n) is true for all positive integers n, All options are true.
The steps for a proof by mathematical induction that P(n) is true for all positive integers n are as follows:
a. Verify that P(1) is true.
b. Demonstrate that the conditional statement Plk) implies Plk+1) is true for all positive integers k.
c. Verify that P(1), P(2), P(3), ..., P(k) is all true, where k is a specific large, positive integer.
d. Demonstrate that if P(k) is false, then Plk+1) is false for all positive integers k.
e. Demonstrate that P(k+1) implies Plk) is true for all integers k.
Therefore, option (a), option (b), option (c), option (d), and option (e) are the steps for proof by mathematical induction that P(n) is true for all positive integers n.
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nathan will be working betwen 30 to 39 hours inclusive this week, which is 3 more than triple what he worked last week. how many hours did nathan work last week?
Using mathematical operations, we know that Nathan works for 9 hours last week.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, a number of hours Nathan works last week:
30 - 3 = 27 (three more)
27 / 3 = 9 (triple)
Therefore, using mathematical operations, we know that Nathan works for 9 hours last week.
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Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
What is remainder when x3 2x² X 1 is divided by x 1?
When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).
To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.
In this we ca easily find the remainder.
Now we firstly find the value of x;
(x+1) = 0
Subtract 1 on both side we get;
x= −1
Now put x= -1 in the expression x^3+2x^2+x+1.
x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1
x^3+2x^2+x+1 = −1+2−1+1
x^3+2x^2+x+1 = 1
Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
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The right question is:
What is remainder when x^3+2x^2+x+1 is divided by (x+1)?
Please someone help me with this I am giving all of my points.
1. plug in the values
3(2) - (-1) = 7; true
2(2) + 3(-1) = 1
4 -3 = 1; true
yes, the point is true for the system. .
2.
the solution is referring to where both the lines intercept on the graph.
3. replace 'y' in the first equation with the second equation
3x + 6x + 1 = 10
9x + 1 = 10
9x = 9
x = 1
plug x = 1
y = 6(1) + 1
y = 7
(1,7)
4. elimiate the common terms which is 'n' which gives;
5m = -5
m = -1
plug in to find 'y' AKA 'n'
3(-1) - n = 2
-3 - n = 2
-n = 5
n = -5
I can futher explain if you'd like, let me know.
Delia drove 290 miles in 5 hours. At this rate, how far will she drive in 7.5 hours?
Answer:
464
Step-by-step explanation:
Find the x- and y- intercept.
X-2
3x - 1
y =
(2, [?])
The X and Y intercepts of the following equations are:
(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]
(b) Y = X - 2 : intercepts are [ 2 , -2 ]
How to find the X and Y intercept of linear equation?To find the x-intercept we put y = 0 and solve the equation for x. This is because when y = 0 the line crosses the x - axis. To find y-intercept: put x = 0 and solve for y. See the attached figure for understanding the intercepts.
For example: Find the X and Y intercepts of the equation: X - Y = 5.
for X intercept put Y = 0, we get X = 5
for Y intercept put X = 0, we get Y = -5
Here, we have (a) equation Y = 3X - 1
For X intercept put Y = 0, we get X = 1/3
For Y intercept put X = 0, we get Y = -1
so, the X and Y intercepts of the equation Y = 3X - 1 are [ 1/3, -1 ]
now, we have (b) equation Y = X - 2
For X intercept put Y = 0, we get X = 2
For Y intercept put X = 0, we get Y = -2
so, the X and Y intercepts of the equation Y = X - 2 are [ 2 , -2 ]
Hence, The X and Y intercepts of the following equations are:
(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]
(b) Y = X - 2 : intercepts are [ 2 , -2 ]
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Disclaimer: The question given was incomplete on the portal. Here is the complete question.
Question: Find the X and Y intercept of the following equation:
(a) Y = 3X - 1
(b) Y = X - 2
Can someone please help me? :(
Find the area of the composite figure below.
5 cm
2 cm
3 cm
a
16 cm?
b
17 cm
C
13 cm
d
10 cm2
Answer: D is the correct answer.
Find the difference between the actual quotient and the etimated quotient of 78,070÷37. (Dividend i rounded off to nearet thouand and divior to nearet ten)
The actual quotient and the estimated quotient of 78,070÷37 is 2110 , so the difference between them is 0.
On dividing 78,070 by 37 ,
we get
78,070 /37
=2110
Since , the number gets divided completely
therefore the estimated quotient and the actual quotient will be 2110.
We first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient. When the divisor in a division sum has two or more digits, it is helpful to first estimate the quotient before attempting to discover the exact number.
The outcome of dividing two numbers is known as the quotient. Divided divisor = quotient + remainder is the formula for expressing the terms of division.
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Value of (x-y)2 is,please answer
Answer:
2 x − 2 y
I hope this helps! UwU
If you can give brainliest that will be awesome
Hey there!☺
\(Answer:\boxed{2x-2y}\)
\(Explanation:\)
\((x-y)2\)
(x + -y)2 Make y negative
(x)(2) + (-y)(2) Separate with parenthesis.
2x - 2y
Hope this helps!
Given the function f(x) = 4x – 3 , determine:
1. f(2)
2. f(-10)
3. f(0)
f(2) denotes that we are substituting
x=2 in the function f(x) = 4x - 3. So, f(2) = 4(2) – 3 = 8 – 3 = 5. As a result, f(2) = 5.
Similarly, to calculate f(-10),
we enter x=-10 into the formula f(x) = 4x - 3. So, f(-10) = 4(-10) – 3 = -40 – 3 = -43. As a result, f(-10) = -43.
To find f(0),
enter x=0 into the function f(x) = 4x - 3. So, f(0) = 4(0) – 3 = 0 – 3 = -3. As a result, f(0) = -3.
To obtain f(0) = 4(0) - 3 when we substitute x=0 in the function f(x) = 4x - 3. So, 4 times 0 equals 0, and 0 minus 3 equals -3. As a result, f(0) = -3.
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Someone already asked this question but wrong answer. PLS HELP!!!
[x/(y-1)](-4)-[xy+(-3)]/(-1) if x= -5 and y= -2
The worth of expression at x = - 5 and y = - 2 is,
⇒ 1/3
A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.
Considering that;
The expression is,
⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)
Presently, We can place x and y in the above expression as;
⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)
⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)
⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)
⇒ - 20/3 + 7
⇒ 1/3
In this way, The worth of expression at x = - 5 and y = - 2 is,
⇒ 1/3
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an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.
The required sample size is 907.
We have,
To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)
Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92
Since we need to round up to the next integer, the required sample size is 907.
Thus,
The required sample size is 907.
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Zahra's garden has an area of 84.8 square feet. She knows the length is 16 feet. What is the width of Zahra's garden? How can you solve this? In the Opening Routine, how could Zahra use estimation to make sure the decimal point is in the correct place in the quotient?
Answer:
5.3 feet
Step-by-step explanation:
because 84.8÷16=5.3