Complete the point-slope equation of the line through ( − 2 , 6 ) (−2,6)left parenthesis, minus, 2, comma, 6, right parenthesis and ( 1 , 1 ) (1,1)left parenthesis, 1, comma, 1, right parenthesis.
Answers
Hence, the complete the point-slope equation of the line through ( − 2 , 6 ) (−2,6) is y = 6 .
Point slope kind is employed to represent a line victimisation its slope and a degree on the road. That means, the equation of a line whose slope is 'm' and that passes through a degree is found victimisation the purpose slope kind. totally different forms are often wont to categorical the equation of a line. one amongst them is purpose slope kind. The equation of the purpose slope kind which is given by y - y₁ = m(x - x₁) .We have given two points ( − 2 , 6 )and (−2,6) .
Using slope formula , we get
m = 6 - 6 / -2 -(-2)
m = 0
Putting m = 0 , x₁ = -2 and y₁ = 6 in equation (1) , we get
y - 6 = 0
y = 6
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Related Questions
An object moves along the x ‑axis with its position x , in meters, given as a function of time ???? , in seconds, by x(????)=1.77????2−9.55???? 4.68 what is the object's velocity at time ????=1.87 s ?
Answers
At t = 1.87s, the object's velocity is -2.95 m/s.
The given function x(t) = 1.77t^2 - 9.55t + 4.68 represents the position of an object moving along the x-axis with time. To find the object's velocity at time t = 1.87s, we need to find the derivative of the function x(t).
The derivative of x(t) represents the rate of change of position with respect to time, which is the velocity of the object.
Let's find the derivative of x(t):
x(t) = 1.77t^2 - 9.55t + 4.68
To find the derivative, we differentiate each term separately:
d/dt (1.77t^2) = 2 * 1.77t^(2-1) = 3.54t
d/dt (-9.55t) = -9.55
d/dt (4.68) = 0
The derivative of x(t) is:
dx/dt = 3.54t - 9.55
Now, let's find the velocity at t = 1.87s by substituting the value of t into the derivative:
dx/dt = 3.54(1.87) - 9.55
Simplifying the expression:
dx/dt = 6.60 - 9.55
dx/dt = -2.95 m/s
This Answers the Question: " An object moves along the x-axis with its position x, in meters, given as a function of time t, in seconds, by x(t) = 1.77t2-9.55t+4.68 What is the object's velocity at time t = 1.87 s?"
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EMERGENCY!! NEED QUICK
solve for y to the nearest degree
Answers
Answer:
27 degrees
Step-by-step explanation:
SinY = 5/11
Sin^-1(5/11) = y
y = 27.03
to the nearest degree is 27
b) Scores of SAT exams are normally distributed with μ = 500 and σ= 100. The college wants to admit the top 10% of candidates. What should be the minimal score for admission? c) The Recovery from anesthesia can hit people with high blood pressure. Rehab center "All heart" reports that the standard deviation o of the patient's blood pressure is 10. If only 8% of patients exceeds 140, what is the mean-j blood pressure of patients?
Answers
The minimal score for admission is 628 and the mean blood pressure of patients is 155.
b) The minimal score for admission is the score which is located in the top 10% of the distribution. The score will be located at the 90th percentile. Since the scores are normally distributed, we can use the z-score to calculate the corresponding score at the 90th percentile.
The z-score at the 90th percentile is 1.28. Therefore, the minimal score for admission would be 500+1.28×100 = 628.
c) Since only 8% of patients exceed 140, the mean blood pressure of patients will be located at the 92nd percentile. Therefore, we can use the z-score to calculate the corresponding score at the 92nd percentile.
The z-score at the 92nd percentile is 1.5. Therefore, the mean blood pressure of patients would be 140+1.5×10 = 155.
Therefore, the minimal score for admission is 628 and the mean blood pressure of patients is 155.
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3. When 25 is added to 7 times a number, the result is 81. Find the number.
4. Nancy boughtone soft drink for $3 and 4 candy bars.She spent a total of $23. How much did eachcandy bar cost?Let c= the cost of each candy bar3+4=23
5. You had a summer job mowing laws in your neighborhood. You earn $20 per lawn and you already had $35 in your pocket at the beginning of the day. If you had $155 at the end of the day, how many lawns did you mow?
6. Four lessthan10 times a number is 94. What is the number?
7. Jack currently weighs 200 pounds. He begins a diet and is losing3 pounds per week. How many weeks will it be until he weighs161 pounds?Let w= the number of weeks200−3=161
8. Tickets for the dance cost $5 per student. If Ms. Kostik paid $300 for the DJ, how many students attended if the profit from the dance was $975.Let n= the number of students5−300=975
9. When 12 is subtracted from 3 times a number, the result is 24. Find the number.Let n= the number.3−12=24
Bonus: A triangle has 3 angles measures of (3)°,(2+15)°, and (3+5)°. Find each angle. (The SUM of the angles should equal 180°.
Answers
Answer:
3. 8
4. 5
5. 6
6. 9.8
7. 13
8. 135
9. 12
Bonus is the one that confused me haha sorry
Step-by-step explanation:
3. 8 x 7 = 56 + 25 = 81
4. 4 x 5 = 20 + 3 = 23 (3 + 4c = 23) c=5
5. 6 x 20 = 120 + 35 = 155
6. 9.8 x 10 = 98 - 4 = 94
7. 200 - 161 = 39 (which is how many pounds he has to lose) 39/3 = 13 (200 - 3w = 161) w=13
8. 135 x 5 = 675 + 300 = 975 (5n+300=975) n=135
9. 12 x 3 = 36 - 12 = 24 (3n-12=24) n=12
The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Answers
Distance is increasing with a speed of 0.2 Miles/Min
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time in Minutes Distance in Miles
0 0.0
2 0.4
4 0.8
6 1.2
8 1.6
Here, Myra’s distance is increasing as time increase with a constant Speed.
Now, In every 2 mins distance traveled = 0.4 Miles
Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min
Thus, Distance is increasing with a speed of 0.2 Miles/Min.
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1/4 divided by 2/3 as a fraction
Answers
Answer:
1/6 simplified 2/12 not simplified.
Step-by-step explanation:
Help please I don’t get it
Answers
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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A boat sails on a bearing of 73 degrees for 128 miles and then turns and sails 209 miles on a bearing of 190 degrees. Find the distance of the boat from its starting point.
Answers
Answer:
189.14 miles.
Step-by-step explanation:
This is a vector problem.
A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.
The sum of angles in a triangle = 180°
We need to find the third angle.
180° = 90° + 73° + x°
x° = 180° - (90 + 73) °
x = 180° - 163°
x = 17°
The boat then turns and sails 209 miles on a bearing of 190 degrees.
Since it is sailing 190°, it is sailing more than 180°
= 190° - 180° = 10°
This would lead to the formation of another triangle let us call it ABC
Hence, we would have:
90° - ( 10 + 17)°
90° - 27° = 63°
To find the distance of the boat, we would use Cosine rule.
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A
b = 128 miles
c = 209 miles
A = 63°
a = √(128² + 209² -2 × 128 × 209 × Cos 63°)
a = 189.14199miles
Approximately 189.14 miles.
Therefore, the distance of the boat from it's starting point is 189.14 miles.
The OLS residuals: _______.
i. are unknown since we do not know the population regression function.
ii. can be calculated using the errors from the regression function.
iii. should not be used in practice since they indicate that your regression does not run through all your observations.
iv. can be calculated by subtracting the fitted values from the actual values
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The OLS residuals can be calculated by subtracting the fitted values from the actual values.
OLS residuals, also known as errors, can be calculated by taking the difference between the observed values and the predicted (fitted) values from the regression model.
This calculation provides a measure of the discrepancy between the observed data and the estimated values based on the regression equation. The residuals are important for assessing the goodness of fit of the regression model and for performing diagnostic checks to ensure the model's assumptions are met.
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In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:
Answers
Answer:
figure is missing mate
Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip? whit solution
Answers
Answer:
Your Answer is $43.7
Step-by-step explanation:
Take the initial $38 and Multiply it by the .15 (15%) tip
You get a $5.7 tip
Add that to the meal cost of $38 and you get $43.7
Determine whether the relation is a function. Explain why or why not.
{(6, –7), (5, –8), (1, 4), (5, 5)}
A.
No; the domain value 5 corresponds to two range values, –8 and 5.
B.
No: 5 is both in the domain and in the range.
C.
Yes; the range values are all different.
D.
Yes; the domain value 5 corresponds to two range values, –8 and 5.
Answers
Answer: THE ANSER IS A. No, the domain value 5 corresponds to two range values, -8 and 5.
Find the domain and range.
Domain:
{ 6 , 5 , 1 }
Range:
{ − 7 , − 8 , 4 , 5 }
Step-by-step explanation: IT'S NOT C OR D
Determine if the relation is a function.
The relation is not a function.
Steve is a store manager. He is paid a straight commission of 1.25% on total store sales. Find his commission on monthly store sales of $156,215.
Answers
Answer:
$1,952
Step-by-step explanation:
1.25 * 156,215/100
=1,952
4(3x-2)+6x(2-1) simplified
Answers
Answer:
The answer is 18x - 8.
Step-by-step explanation: Trust me, an know a lot about math.
12x-8+6x x1
12x-8+6x
Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0390 g. The accompanying list contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard deviation so that it is less than 0.0390 g. This sample has these summary statistics: n=16, x = 8,068 9. s=0.02 g. A significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0390 g. 11 we want to use a 0.05 significance level and a parametric method to test the claim that the sample is from a population with a standard deviation less than 0.0390 g, what requirements must be satisfied? How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Click the icon to view the weights of dollar coins manufactured with the new process, What requirements must be satisfied? Select all that apply. A. Either or both of these conditions are satisfied:
A. the population is normally distributed or the sample size is greater than 30. B. The population has a chi-square distribution C. The sample is a simple random sample. D. The sample size is greater than 30. E. The population has a normal distribution F. No requirements must be satisfied.
Answers
To test the claim that the sample is from a population with a standard deviation less than 0.0390 g, and using a 0.05 significance level and a parametric method, certain requirements must be satisfied. The requirements include:
A. Either or both of these conditions are satisfied:
A. the population is normally distributed or the sample size is greater than 30.
C. The sample is a simple random sample.
The normality requirement for a hypothesis test of a claim about a standard deviation differs from the normality requirement for a hypothesis test of a claim about a mean. For a hypothesis test of a claim about a standard deviation, it is not necessary for the population to be normally distributed. Instead, either the population should be normally distributed or the sample size should be sufficiently large (typically greater than 30) for the Central Limit Theorem to apply. In this case, the requirement is satisfied if either the population is normally distributed or the sample size is greater than 30. However, the sample should still be a simple random sample, which ensures that the observations are independent and representative of the population.
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Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height qt which the two stacks will be the same height?
Answers
Answer:
The shortest height is 36 inches
Step-by-step explanation:
Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it
This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;
The multiples of both are as follows;
12 - 12, 24,36,48,60•••••
18-18,36,54,72••••••
We can see that at the point 36, both have their first multiple match
So we can say that the lowest common multiple of 18 and 12 is 36
Please someone please help me
Answers
The equation of the line shown in the given graph is y = x/2 + 4
Writing the equation of a lineFrom the question, we are to write the equation for the line shown in the graph
To write the equation of the line we will use the two points given on the line, (-2, 3) and (2, 5)
Using the formula,
(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)
Then,
The equation becomes
(y - 3) / (x - (-2)) = (5 - 3) / (2 - (-2))
(y - 3) / (x + 2) = (5 - 3) / (2 + 2)
(y - 3) / (x + 2) = 2 / 4
(y - 3) / (x + 2) = 1/2
Cross multiplication
2(y - 3) = 1(x + 2)
2y - 6 = x + 2
2y = x + 2 + 6
2y = x + 8
Divide through by 2
y = x/2 + 4
Hence,
The equation is y = x/2 + 4
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please help, algebra two problem
Answers
Answer: -12
Step-by-step explanation:
Solve the following expressions. Write your answer in scientific notation. 13. (6.125×10 3
)×(2.345×10 4
) 14. (6.125×10 3
)×(2.345×10 −4
) 15. 3700.13×(6.04×10 4
) 16. (6.2×10 4
)/(0.4×10 −5
)
Answers
13) The scientific notation is 1.4354125 * 10⁸. 14) The scientific notation is 1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.
Let's solve the given expressions and write the answers in scientific notation:
13) \((6.125*10^3) * (2.345*10^4)\)
To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:
\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)
\(= 1.4354125 * 10^8\)
14) \((6.1258*10^3) * (2.345*10^{-4})\)
To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:
\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)
\(= 1.4354125 * 10^{-1}\)
15) \(3700.13 * (6.04*10^4)\)
To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:
3700.13 × 6.04 = 22366.0992
Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.
= 22366.0992
16) \((6.2*10^4) / (0.4*10^{-5})\)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:
\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)
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If OP = 14, SQ = 7, and QR = 24, find PQ
Answers
Answer:
The value of PQ is;
\(PQ=24\)Explanation:
Given the figure in the attached image;
\(\begin{gathered} OP=14 \\ SQ=7 \\ QR=24 \end{gathered}\)We can see from the figure that the triangle RSQ is similar to the triangle ROP.
So their corresponding sides are proportional;
\(\frac{OP}{SQ}=\frac{PR}{QR}\)Substituting the given values;
\(\begin{gathered} \frac{OP}{SQ}=\frac{PR}{QR} \\ \frac{14}{7}=\frac{PQ+24}{24} \\ 2(24)=PQ+24 \\ PQ=48-24 \\ PQ=24 \end{gathered}\)Therefore, the value of PQ is;
\(PQ=24\)find the dimensions of the rectangular box of maximum volume that can be inscribed inside the ellipsoid (x/a)^2 (y/b)^2 (z/c)^2
Answers
The dimensions of the rectangular box of maximum volume that can be inscribed inside the ellipsoid are 1.39a, 1.39b, and 1.39c.
The maximum volume of a rectangular box that can be inscribed inside an ellipsoid with dimensions a, b and c is given by the formula V = 4abc/3.
To calculate the dimensions of this box, we take the cube root of V and divide it by the product of a, b, and c. This gives us the length, width, and height of the box.
For example, if the ellipsoid has a = 5, b = 4, and c = 3, then the maximum volume is 40π/3. Taking the cube root of 40π/3 gives us a length, width, and height of 1.39.
Therefore, the dimensions of the rectangular box of maximum volume that can be inscribed inside the ellipsoid are 1.39a, 1.39b, and 1.39c.
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Solve: 3x - 3= x +5
please can someone solve this I will give brainiest
Answers
3x - 3= x + 5
=> 3x - x = 5 + 3
=> 2x = 8
=> x = 8/2
=> x = 4
Answer:
4
Step-by-step explanation:
3x - 3 = x+5
=> 3x = x+5+3 ( transposing method)
=> 3x-x = 5+3
=> 2x = 8
=> x = 8/2
=> x = 4
Solve for x. Round your answer to the nearest tenth. A 12 8 E 10
Answers
The value of x shown in the right angled triangle is 15.9 units
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:
Hypotenuse² = Adjacent² + Opposite²
From the diagram, substituting:
17² = x² + 6²
x² = 17² - 6²
x² = 253
x = 15.9 units
The value of x is 15.9 units
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2. There are 6 children that each want to eat half of a chocolate bar. If they buy a package of 4 chocolate bars, how many chocolate bars will be left over after they've eaten?
Answers
Answer:
1
Step-by-step explanation:
6 children that each want to eat half of a chocolate bar (0.5)
6 * 0.5 = 3 - chocolate bars will be eaten
They bought a package of 4 chocolate bars
4 - 3 = 1 - chocolate bar will be left
In 2011 Tufts University had 17,000 applicants. Each year the number of applicants increased 11% from the previous year.
How many applicants would you expect Tufts University to have in 2013? Round to the nearest whole
Answers
Explanation: it’s up by 2 years each being 11% so just multiply that by 2 and just do
17,000 x 22% which is 17,000 x 0.22 = 3,740
So 17,000 + 3,740 = 20,740
A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion
Answers
Answer:
\(Pr = 0.0479\)
Step-by-step explanation:
Given
\(p =23\%\) --- proportion of completed passes
Required
The probability that he has 6 incomplete before he has 1 completion
Let:
\(q \to\) proportion of back passes not completed
Using complement rule:
\(q = 1 - p\)
\(q = 1 - 23\%\)
\(q = 1 - 0.23\)
\(q = 0.77\)
The event that he has 6 incomplete passes before he completed one is:
q q q q q q p
And the probability is:
\(Pr = q * q * q * q * q * q * p\)
\(Pr = q^6* p\)
\(Pr = 0.77^6* 0.23\)
\(Pr = 0.0479\)
What is the product? (negative 3 s 2 t)(4 s minus t) negative 12 s squared minus 2 t squared negative 12 s squared 2 t squared negative 12 s squared 8 s t minus 2 t squared negative 12 s squared 11 s t minus 2 t squared
Answers
The product of the expression (-3s + 2t) and (4s - t) is -12s² + 11st -2t². Then the correct option is D.
What is a product?It is also known as multiplication. If the object n is given to m times then we just simply multiply them.
The expression is given below.
(-3s + 2t) and (4s - t)
Then the product of the expression (-3s + 2t) and (4s - t) is given as
(-3s + 2t)(4s - t)
-12s² +3st + 8st - 2t²
-12s² + 11st -2t²
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what is the answer 67+2=?
Answers
Answer:This is 69
Step by step explanation:67 +2 is 69
Plz help quick pls Brainly
Answers
Answer:
x is greater than or equal to -26
Step-by-step explanation:
We can use distributive property to solve the equation.
-6(x+4) in distributive property is: -6x-24
-6x-24 is less than or equal to -5x+2
+6x +6x
-24 is less than or equal to x+2
-2 -2
-26 is less than or equal to x
This means x is greater than or equal to -26
On the graph you would put a closed circle on -26 and point to the right.
Hope this helps! Good luck on your quiz!
What’s this answer?
Answers
Answer:
175/24
Step-by-step explanation:
First change mixed fraction to improper fraction.
1¾= (1×4+3)/4
= 7/4
4⅙= (4×6+1)/6
= 25/6
now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)
I.e
7/4 × 25/6
= 7×25/4×6
= 175/24
it cannot be further simplified so 175/24 is the answer.