Answers
Answer:
slope = -7
Step-by-step explanation:
(1, 4) and (2, -3)
Slope = y^2 - y^1 / x^2 - x^1
m = -3 - 4 / 2 - 1
m = -7 / 1
m = -7 ---------> slope of the line through (1, 4) and (2, -3)
Answer:
slope is -7 for (1, 4) and (2, -3)
Related Questions
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
A 0.341-g wire is stretched between two points 54.0 cm apart. If the tension in the wire is 578 N, find the frequencies of the wire's (a) first, (b) second, and (c) third harmonics. For the first harmonic, the length of the wire is a half wavelength. (a) Frequency of the first harmonic. This corresponds to the standing wave with the lowest possible frequency on the wire. (b) Frequency of the second harmonic. (c) Frequency of the third harmonic.
Answers
The frequency of the wave in the stretched wire, evaluated using the formula for a standing wave in a vibrating string are as follows;
(a) The frequency of the first harmonic is about 28.013 Hz
(b) The frequency of the second harmonic is about 56.026 Hz
(c) The third harmonic frequency is about 84.039 Hz
What is the mode of vibration of a string?A stretched string vibrates such that the wavelength of the wave in the string is proportional to the length of the string.
The frequency of a stretched string can be found with the formula;
\(f_1 = \dfrac{\sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)
Where;
T = The tension in the wire = 578 N
m = The mass of the string = 0.341 g
L = The length of the string = 54.0 cm = 0.54 m
Therefore;
f₁ = (√(578/(0.341/0.54))/(2×0.54) ≈ 28.013
The first or fundamental frequency is f₁ ≈ 28.013 Hz(b) A general formula for the frequency of a standing wave is presented as follows;
\(f_n= \dfrac{n \cdot v}{2\cdot L}\)
Where;
\(f_n = \dfrac{n\times \sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)
Therefore, the second harmonics, f₂ = 2·f₁
f₂ = 2 × (√(578/(0.341/0.54))/(2×0.54) ≈ 56.026
The frequency of the second harmonics is 56.026 Hz(c) The third harmonics, f₃ = 3 × f₁
Therefore;
f₃ = 3 × (√(578/(0.341/0.54))/(2×0.54) ≈ 84.039
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Does the equation below represent a relation, a function, both a relation and a function or neither
y = x2 – 9x
Answers
i need a equation for 4x + 12 = 64
thanks :)
Answers
Answer: x=13
Step-by-step explanation: i think
An angle of 60 radians can be converted to an angle of____
degrees. (Give an exact answer as a fraction, not a decimal approximation.)
Answers
Answer:
The angle -90 degrees is equivalent to -π÷2 radians.
How we convert the angle −90∘ into radians?
To convert an angle from degrees to radians, we use the formula: radian measure = degree measure * π/180. In this case, we want to convert -90 degrees to radians. So, we substitute -90 into the formula and get:
radian measure = -90 × π÷180
Simplifying this expression, we can cancel the factor of 90 and get:
radian measure = -1÷2 × π
This means that -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact. The reason why we use radians to measure angles is because they are a more natural unit for measuring angles in calculus and other mathematical contexts.
Therefore, -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact.
Learn more about Radian
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M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Answers
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
Answers
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Answer:
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sofiapenaloza
05/31/2023
Mathematics
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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
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The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?
For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Step-by-step explanation:
Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
Rolling an even number or doubles
Answers
The probability of the Doubles" means both dice show the same number is 36.
What is probability?When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.
The likelihood of rolling an even number or doubles is thus:
The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.
The odds of rolling an even number or two doubles are 19/36.
Therefore, the probability of the Doubles" means both dice show the same number is 36.
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What is 3/8 divided by 4/1
Answers
Please help me asap!!!
Answers
Answer:
a.) 35
b.) 4
c.) 27
Step-by-step explanation:
A.)
Whenever two logarithms with the same base (in this example, 2) are added, you multiply the two arguments/powers (5 and 7) to get 35.
B.)
Whenever two logarithms with the same base are subtracted, you divide the first argument/power by the second one, creating 7/4.
C.)
Whenever you multiply a logarithm with a constant, you just put the argument/constant with an exponent of the constant. 3^3 would get you 27.
Hope this helps.
The electrical resistance varies directly as the square of the voltage (V
) and inversely as the electric power (P
). If the voltage is 20
volts and the electric power is 5
watts, then the electrical resistance is 80
ohms.
Answers
The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.
In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.
The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.
According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms
Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.
Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
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Switch row 2 and row 3:
4−1−4
8−46
−231
−7
30
−2
4−1−4
−7
Answers
Answer:
-2 3 1 -2
8 -4 6 30
Step-by-step explanation:
the second part is
-4 6 2 -4
What's the equation of the line that's a perpendicular bisector of the segment
connecting A(-2, 8) and B(-4, 2)?
Answers
Answer:
y = - \(\frac{1}{3}\) x + 4
Step-by-step explanation:
The perpendicular bisector bisects AB at right angles
The midpoint of AB using the midpoint formula
\(M_{AB}\) = ( \(\frac{x_{1+x_{2} } }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
with (x₁,y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 4, 2 )
\(M_{AB}\) = ( \(\frac{-2-4}{2}\) , \(\frac{8+2}{2}\) ) = ( \(\frac{-6}{2}\) , \(\frac{10}{2}\) ) = (- 3, 5 )
Calculate the slope m of AB using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) = \(\frac{2-8}{-4-(-2)}\) = \(\frac{-6}{-4+2}\) = \(\frac{-6}{-2}\) = 3
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\)
The perpendicular bisector passes through (- 3, 5 ) with slope = - \(\frac{1}{3}\)
The equation in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
To find c substitute (- 3, 5 ) into the partial equation
5 = 1 + c ⇒ c = 5 - 1 = 4
y = - \(\frac{1}{3}\) x + 4 ← equation of perpendicular bisector
The measure of the angle is 17 times greater than its supplement.
Answers
Answer: supplement <17
Step-by-step explanation:
1. 17 is greater
2. supplement is smaller
Shaniqua has 12 apples to divide into eating and using in an apple pie. If she puts at least 3 apples in each group, how many different ways can she divide the apples?
Answers
Answer:
4..?
Step-by-step explanation:
The value of a machine, V , at the end of t years
Answers
The value of machine after 2 years is $346.4.3
What is Rate of Depreciation?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.
Given:
C = $707 (the original cost),
r = 0.3 (the rate of depreciation),
and t = 2 (years that have gone by)
Using the Formula
V = C \((1-r)^t\)
V = (707)(1 - 0.3)²
V = (707)(0.7)²
V = (707)(0.49)
V = 346.43
Thus, the value of machine is $346.43
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A shopkeeper has 2425 boxes of 24 pencils each. How many pencils do all the boxes have in all?
Answers
Answer:A shopkeeper has 2425 boxes of 24 pencils each. How many pencils do all the boxes have in all?
Step-by-step explanation:
Could someone please solve?
Answers
Answer:
a) y=4
b) x=8
Step-by-step explanation:
we know the a line is on point 4 on the y axis. So it would be y=4
The second one is the same. line b is on the point 8 on the x axis, so x=8
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Hello! I need some assistance with this homework question for precalculus, please?HW Q10
Answers
We want to write the following expression
\(6\log_7u+5\log_7v\)as a single expression. To do that, first, we're going to use the following property
\(a\log_bx=\log_bx^a\)Applying this property in our expression, we can rewrite it as
\(6\operatorname{\log}_7u+5\operatorname{\log}_7v=\operatorname{\log}_7u^6+\operatorname{\log}_7v^5\)Then, using the following property
\(\log_ax+\log_ay=\log_a(x\cdot y)\)we can rewrite our expression as
\(\operatorname{\log}_7u^6+\operatorname{\log}_7v^5=\operatorname{\log}_7u^6v^5\)Helpi really need this
Answers
Answer:
The height of the flagpole is about 25.6 feet.
Step-by-step explanation:
The figure is omitted--please sketch it.
Put your calculator in degree mode.
Let h be the height of the flagpole.
\( \tan(52) = \frac{h}{20} \)
\(h = 20 \tan(52) = 25.6\)
helpppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
x ≈ 5
Step-by-step explanation:
Using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
Given
\(log_{10}\) x ≈ 0.701 , then
x = \(10^{0.701}\) ≈ 5
5. If you receive 24% off of a $100.00 item, what is the final price of the item?
A. $0.24
Answers
Answer:
24% of 100 is 24 meaning you subtract 24 to 100. Giving you $76 as the final price.
Step-by-step explanation:
Write the expression without using exponents.
(−9x)4
Answers
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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Mrs. Carroll purchases new materials for her math classroom. New workbooks cost $7.00 each, and new dry erase boards cost $5.00 each. She had a budget of $50.00. Write an inequality to represent the situation. Let w represent the number of workbooks and let d represent the number of dry erase boards.
Answers
Answer:
\(7w+5d\leq 50\)
Step-by-step explanation
Let w represent the number of workbooks
Let d represent the number of dry erase boards
Then , we can create the inequality for this situation
\(7w+5d\leq 50\)
Compare the value of the 3 in 340, 500 to the value of the 3 in 3,160,000
Which statement is true?
Answers
Answer:
C.
Step-by-step explanation:
A housing policy research group reported that the proportion of homeowners in the U.S. who struggle to make monthly mortgage payments is 0.29, or 29%. A real estate company is interested in examining this claim in a particular state that has experienced recent economic hardships Refer to the information above regarding the survey of homeowners with mortgages. The survey found that in a sample of 451 randomly selected homeowners, 183 reported having difficulty paying their mortgages each month. If a hypothesis test were to be conducted to determine if the problem is worse in this particular state, which of the following would be the correct value of the test statistic? Choose the closest value, taking all calculations to four decimal places.
a) 5.42
b) 0.45
c) 0.36
d) 18.99
e) 0.26
Answers
Answer:
The option is A
Step-by-step explanation:
From the question we are told that
The population proportion is \(p = 0.29\)
The sample size is n = 451
The number that was having difficulty is k = 183
Generally the sample proportion is mathematically represented as
\(\^ {p} = \frac{k}{n}\)
=> \(\^ {p} = \frac{183}{451}\)
=> \(\^ {p} = 0.4058\)
Generally the test statistics is mathematically represented as
\(t = \frac{ \^ {p} - p }{ \sqrt{\frac{p (1-p)}{n} } }\)
=> \(t = \frac{0.4058 - 0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }\)
=> \(t = 5.42 \)
Please someone help me !
Answers
Step-by-step explanation:
a. If x is the total numbers of students in school, 35%x = 140.
0.35x = 140
x = 140/0.35 = 400
b. Since there are 400 kids in the school, 15% of them take the bus which is 0.15 * 400 = 60 kids.
Find the temperature indicated on this thermometer.
Answers
Answer:
55 degrees
Step-by-step explanation:
always the middle of the thermometer is 15,25,35,45,55,65,75,85,95 etc.
What are the solutions to the equation x-7/×=6
Answers
Answer:
-1 or 7
Step-by-step explanation:
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