Yes, you can solve for the y-intercept using the slope, one ordered pair, and the slope-intercept equation.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Here Rin says that you can solve for the y-intercept using the slope, one ordered pair, and the slope-intercept equation.
The statement is right because for the calculation of the y-intercept we need one point to pass through the line and the slope of the line.
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for a given arithmetic sequence, the first term a1 is equal to 28 and the 93r term is equal to -432 find the value of the 33rd term a33
The 33rd term of the given Arithmetic progression will be -132.
What is an Arithmetic progression?
A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.
Given, first term= a1= 28
and, a93 = -432
we know that, a93 = -432
a + 92d = -432 (where d is the common difference)
28 + 92d = -432
92d = -432-28
= -460
d = -460/92 = -5.
Now, we can find the a33,
a33 = a + 32d
= 28 + (32× -5)
= 28-160
= -132.
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A llama weighing 200kg needs to be transported on a stretcher, The upward acceleration on the stretcher is 0.63m/s². What net force is needed to accelerate the llama on the stretcher?
The net force is 126 kg m/s² needed to accelerate the llama on the stretcher.
To determine the net force needed to accelerate a llama weighing 200 kg on a stretcher with an upward acceleration of 0.63 m/s², we can use the formula F = ma, where F is the net force, m is the mass of the llama, and a is the upward acceleration of the stretcher.
As per the question, the mass of the llama is 200 kg and the upward acceleration of the stretcher is 0.63 m/s²,
So, the net force needed to accelerate the llama is:
F = 200 kg × 0.63 m/s²
F = 126 kg m/s².
Thus, the net force is 126 kg m/s² needed to accelerate the llama on the stretcher.
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Which are necessary conditions to apply the sas triangle congruence theorem? select all that apply.
Answer:
For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. If the congruent angles are not between the corresponding congruent sides, then such triangles could be different.
hope that helps
Step-by-step explanation:
PLSSSS HELP ASAPPP
Andrew has 34 coins in his pocket. His coins total $2.65. If he has dimes and nickels in his pocket, how many dimes does he have?
100 POINTS HELP PLEASE Which of the following is a benefit of increased competition?
A. They access the same suppliers.
B. They attempt to win over your customers.
C. They make you improve your product quality.
The diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about
113.04 m. What is the circumference of the circle? What mistake did Eugene make?
Answer: 3.14
Step-by-step explanation:
1. go home
2. sleep
3. poop
4. eat
It rained 1.5 inches in Drake City yesterday. The meteorologist's rainfall prediction was 20% less than that. How much rainfall did the meteorologist predict?
Answer:
Step-by-step explanation
To find the amount of rain the meteorologist predicted, start by listing the key information from the problem.
The actual amount of rain was 1.5 inches.
The meteorologist's prediction was 20% less than that. This is the percent error.
First, find the amount of error. It is 20% of the actual amount of rain.
0.21.5=0.3
So, the amount of error in the meteorologist's prediction is 0.3 inches. Since the predicted amount was less than the actual amount, subtract 0.3 from the actual amount of rain.
1.5–0.3=1.2
The meteorologist predicted 1.2 inches of rainfall.
You could also find the meteorologist's rainfall prediction by finding 80% of the actual amount of rain.
0.81.5=1.2
The amount of rainfall the meteorologist predict is 1.2 inches
How to determine how much rainfall the meteorologist predict?From the question, we have the following parameters that can be used in our computation:
Amount of rainfall = 1.5 inches
Prediction = 20% less than the amount of rainfall
These parameters imply that:
Prediction = Amount of rainfall * (1 - Percentage less)
Substitute the known values in the above equation, so, we have the following representation
Prediction = 1.5 * (1 - 20%)
Evaluate
Prediction = 1.2
Hence, the prediction is 1.2 inches
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What is the max value of e?
The maximum value of e is equal to 2.718.
e
The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series.
The number e itself also has applications in probability theory, in a way that is not obviously related to exponential growth
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at the 0.01 significance level, do women save more money than men? what is the value of the test statistic for this hypothesis test?
Both means are approximately equal at 1% level of significance.
What is significance level?
A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.
H0: Mean of mean = mean of women
Ha: means of men < mean of women
(Left tailed test)
Since population std deviation is known but sample sizes are small t test is used.
The mean of Men minus Women equals -5.00
standard error of difference = 2.201
t = 2.2721
df = 53
p value= 0.0136
since p >0.01 at 1% significance level we fail to reject H0.
Both means are approximately equal at 1% level of significance.
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Las coordenadas del punto (-2, 3) despues de una reflexion sobre el eje y son:
Responden: Original Answer Language (Spanish)
Las coordenadas del punto (-2, 3) después de una reflexión en el eje y son: (2,3). Se explica en la imagen.
Answer: Traducir el idioma de la respuesta (inglés)
The coordinates of the point (-2, 3) after a reflection on the y-axis are: (2,3). It is explained in the image.
Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer:
The answer should be $31.99
What does a scale factor less than 1 do to the image?
Answer:
Makes it smaller
Step-by-step explanation:
A scale factor less than 1 makes the image smaller than the preimage.
A scale factor of 1 makes the image the same size as the preimage.
A scale factor greater than 1 makes the image larger than the preimage.
i need help please answer correctly
6. Applying the inscribed angle theorem, x = 33
7. m<ABP = 90°.
m<APB = 48°
What is the Tangent Theorem?The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.
What is the Inscribed Angle Theorem?An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.
Therefore:
Question 6:
Based on the inscribed angle theorem,
Measure of arc AB = 2(x + 3) = 2x + 6
108 + 2x + 6 = 180 [semicircle]
Solve for x
114 + 2x = 180
2x = 180 - 114
2x = 66
x = 33
Question 7:
Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.
m<APB = 180 - 90 - 42
m<APB = 48°
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A school has 1 teacher
for every 24 kids.
How many teachers for 72 kids?
Answer:
There should be around three teachers.
Step-by-step explanation:
72/24 = 3
or
24 x 3 =72
Another way you could do it is three circles put one dot in each circle until you reach 72.
Hope this helped
at the tesla automotive factory, a model s sedan is built using 4 tires, a main chassis, and 5 lithium-ion batteries. how many sedans can be made if there are 17 tires, 5 chassis, and 22 batteries?
The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.
Using hit and trial method :
→ assuming tires as limiting substance
4 tires → 1 car
17 tires → 17/4 ×1 car
= 4.25 cars {reducing it to greatest integer value}
→ Assuming chassis as limiting theorem:
1 chassis → 1 car
5 chassis → 5 cars
→ Assuming batteries as limiting theorem substance:
5 batteries → 1 car
22 batteries → 22/5 × 1 car
= 4.4 → 4 cars
Therefore, 4 cars can be made by the given substance.
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Solve the following system of equations graphically after graphing be sure to label each line with its equation
Answer:
Step-by-step explanation:
A system of equation can be solved in several ways, which includes the use of graphs
The solution to the system of linear equations is (3,2)
The system of equations is given as:
See attachment for the graphs of and .
From the attachment, the point of intersection of the lines of both equations is (3,2)
Hence, the solution to the system of linear equations is (3,2)
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For Daniela’s bicycle business the ne profit (in dollars) for renting b bicycles is: P(b)=25b+7. If Daniela rents 6 bicycles, what is her profit
By using the concept of profit, it can be calculated that-, Profit for renting 6 bicycles = $157
What is profit?
Profit is a financial gain earned when the revenue from a business activity exceeds the expenses associated with it. This gain is usually measured in monetary terms, but it could also be measured in terms of goods or services. Profit is the main reason why businesses exist and it can be used to reinvest in the business, pay shareholders, purchase new assets, or do other things. Profit is the lifeblood of any business and it is essential for sustaining and growing its operations.
For Daniela’s bicycle business the net profit (in dollars) for renting b bicycles is: P(b)=25b+7.
Number of bicycles Daniela rented = 6
So Profit for renting 6 bicycles = $([tex]25 \times 6 + 7[/tex]) = $157
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help help help help help help help
Answer: the data suggests that playing video games has a negative effect on academics. I think this because the more time spent playing video games the less time spent doing homework
a group of fish is called a school . there are twenty-five in the small school.there are one hundered twelve fish in the big school. how many fewer fish are in the small school
There are 87 fewer fish in small school compared to big school.
We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.
This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.
Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?
Given,
Number of fish in small school = 25
Number of fish in big school = 112
then,
Number of fewer fish does small school have 112 -25 = 87
Thus, there are 87 fewer fish in school than big school.
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the situation in which the value of the solution may be made infinitely large in a maximization linear programming problem or infinitely small in a minimization problem without violating any of the constraints is known as
The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem or infinitely small in a minimisation problem without violating any of the constraints is known as an unbounded solution
What is Linear Programming?
When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming.
Let's briefly define some situations
Infiniteness and semi-optimality, does not comply with what the situation exposes.
If there isn't a solution that satisfies all the requirements, the problem is said to be infeasible. As a result, this choice is not.
If the objective function can be improved indefinitely without going against the constraints and limits, then the problem is unbounded, and this is the right response.
The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem is known as an unbounded solution
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suppose a 90% confidence interval for the population mean resulted in an upper limit of $658 and a lower limit of $273. what is the correct interpretation of this confidence interval? question 5 options: 1) we are 90% confident the population mean is in this interval. 2) there is a .90 probability the population mean is in this interval. 3) we are 90% confident the population proportion is in this interval. 4) there is a .90 probability the sample mean is in this interval.
The correct interpretation of this confidence interval is that "we are 90% confident the population mean is in this interval." This means that if we were to repeat the sampling process many times, we would expect that 90% of the resulting confidence intervals would contain the true population mean.
What does 1.022 represent in the expression?
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:
[tex]GDP = 11(1.0220)^{t}[/tex]
We can also see that the exponential model formula given by: governs this formula.
[tex]GDP = 11(1.0220)^{t[/tex]
Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.
The value of b in this instance is provided by:
b = 1.022
And when we calculated r as the growth rate, we obtained:
1.022 = 1 + r
r = 1.022 - 1
r = 0.022
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
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Find cos (A) given the triangle
[tex]\cos A=\frac{21}{75}[/tex] since cosine is (adjacent)/(hypotenuse).
How do you calculate x value?
Answer: To calculate x in an equation, you can first look at the other numbers that aren't missing any values [say 2x + 60x = 248]. To find the value of x, bring the variable(s) to the left and bring all the remaining numbers to the right (I'm trying to explain this in a simple way)
Step-by-step explanation: math
can someone pls help me with exercise 7 in algebra
Answer: Ok so the slope is always going to be m and the y intercept will be the b.
Step-by-step explanation: For example the slope form in y=mx+b. Whatever is in that b spot is going to be the y-intercept. So for number one on exercise 7 the slope will be 2/3 and the y- intercept will be -4. Same for number 2 remember take your time and know that m is the slope and b is your y-intercept. I really hope this helps you.
Leah can make one dozen cookies every hour. How many cookies can she make in a four hour period of time?
Answer:
42
Step-by-step explanation:
1 dozen equals 12 so 12 x 4 would be 42
How do you solve 4 linear equations?
Steps to solve linear equations;
Clear fractions or decimals. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. Remove the variable term from the equation's other side. Divide each side of the equation to find the solution. Check your solution.Given,
Linear equations;
Ax + By = C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x + 3y = 5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Here,
The steps to solve linear equations are;
Clear fractions or decimals. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. Remove the variable term from the equation's other side. Divide each side of the equation to find the solution. Check your solution.Learn more about linear equations here;
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11. Which expression is equivalent to
-5.2v + (-2.8) + 1.1 + (-2.6v)?
A-9.5v
B-3.9v
-7.8v 1.7
-
D-7.8v+3.9
Answer:
C. −7.8v −1.7
Step-by-step explanation:
add like terms
-5.2v + (-2.6v) = −7.8v
(-2.8) + 1.1 = -1.7
Answer:
C ) −8v−1.7
Step-by-step explanation:
1 ) − 5.2v − 2.8 + 1.1 −2.6v
2) = − 5.2v + −2.8 + 1.1 + − 2.6v
Combine Like Terms:
3 ) = − 5.2v + − 2.8 + 1.1 + − 2.6v
4 ) = ( − 5.2v + − 2.6v ) + ( −2.8 + 1.1 )
5 ) = − 7.8v + − 1.7
Hope this helps! :)
If you start with 1 and repeatedly multiply by 1/2, will you reach 0? Explain why or why not.
Answer:
nope
Step-by-step explanation:
1 multiplied by 1/2 just equals 1/2 since it's being multiplied by one, it wouldn't matter if you kept multiplying 1/2 either because the numerator will stay the same regardless, and the denominator just gets bigger and bigger since you're multiplying by two. if the numerator wasn't 1 then I'm sure there's a possibility, but in this scenario, it's not.
Answer: You will reach 0
Step-by-step explanation:
Yes, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.
To see why this is the case, let's consider the following sequence of numbers:
1 * (1/2) = 0.5
0.5 * (1/2) = 0.25
0.25 * (1/2) = 0.125
0.125 * (1/2) = 0.0625
0.0625 * (1/2) = 0.03125
As you can see, each time we multiply by 1/2, the result is half of the previous number. Because any number multiplied by 0 is 0, we will eventually reach 0 if we keep multiplying by 1/2.
Therefore, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.
Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week. He writes the expression 14 x h x 52 to represent how much money he earns in a year. Kaden's boss writes the expression 728h. Which person's expression tells you how many hours Kaden works per year? Explain your reasoning
Kaden's expression tells you how many hours Kaden works per year
How to determine which person's expression tells you how many hours Kaden works per year?Given: Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week.
Kaden expression:
14 x h x 52
The 14 in this expression tells you how many hours Karen works per year. The 52 shows the number of weeks in a year
Kaden's boss expression:
728h
This does not tells how many hours Kaden works per year
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