Answer:
12 seconds I think
Step-by-step explanation:
that's my answer
frequency table where you tally five reasons for taking gap year
In the "Tally" column, a vertical line is used to represent each occurrence of the reason, and the total number of tallies for each reason is counted and entered in the "Frequency" column.
What is frequency?Frequency refers to the number of times a particular value or observation occurs in a dataset. It is often used to summarize categorical or discrete data, such as the number of times a certain response was given in a survey or the number of times a particular event occurred in a given time period. Frequencies are often displayed in a frequency table or chart to make it easier to visualize patterns and trends in the data.
Here,
Reasons for Taking a Gap Year:
Reason Tally Frequency
Traveling
Working
Volunteering
Studying
Personal Development
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Complete question:
Frequency table where you tally five reasons for taking gap year. Mention 5 reasons specifically for this gap year.
What is 76(10), in base two?
Will mark BRAINLIEST thank you!
Answer:
The above mentioned answer is wrong
Correct answer is option b)14000
Step-by-step explanation:
By the rule of front-end estimation
719 is estimated as 700
And 26 is estimated as 20 .
The product of 719 and 26 is estimated by multiplying 700 and 20.
The product of 700 and 20 is 14000
Hence the correct answer is option b) 14000
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answer:
Step-by-step explanation:
It takes 8 men 9 hours to dig a hole 20 deep. How long would it take 10 men to dig the hole if they work at the same rute?
It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.
To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.
We are given that 8 men can dig the hole in 9 hours.
This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.
Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.
If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.
To find the new time, we divide the total man-hours by the number of men:
72 man-hours / 10 men = 7.2 hours.
Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.
Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.
In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.
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A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?
Answer:
30
Step-by-step explanation:
120÷4=30 (4 because a square has 4 sides)
and you can check it by doing 4×30=120
hope this helped
please can someone help me!! :(
Answer:
G
Step-by-step explanation:
Distribute the -7 to 4x and -5
Answer:
Hey!
The answer is
-7x (4x - 5)When you multiply them you get
\(-28x^{2} + 35\)
So, Option G is the right answer!On March 1, Dilbert Inc sells 2,000 units to Tundra Inc For $5/unit or a total of $10,000. Dilbert’s cost is $3/unit. Terms are 2/10, N/30. What is Dilbert’s journal entry to record their purchase?
Answer: See attachment
Step-by-step explanation:
The journal entry for Dilbert has-been prepared and attached. The journal entry shows the transaction that was done by Dilbert on a March 1st.
Check the attachment for the entry.
A student's course grade is based on one midterm that counts as 1010% of his final grade, one class project that counts as 1515% of his final grade, a set of homework assignments that counts as 4040% of his final grade, and a final exam that counts as 3535% of his final grade. His midterm score is 6767, his project score is 8888, his homework score is 9191, and his final exam score is 7272. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Answer:
His overall final score is 81.5
He earned a B
Step-by-step explanation:
To find his overall grade, we multiply each of his grades by it's weight.
Grades:
67 on the midterm, which counts for 10% = 0.1
88 on the project, which counts for 15% = 0.15
91 on homework assignements, which counts for 40% = 0.4
72 on the final exam, which counts for 35% = 0.35.
What is his overall final score?
67*0.1 + 88*0.15 + 91*0.4 + 72*0.35 = 81.5
His overall final score is 81.5
At least 80 and less than 90 has a letter grade of B. 81.5 is in this range. So he earned a B
Expand 5(x + 6)
Anyone know the answer?
Answer:
5x+30
Step-by-step explanation:
we just open the bracket and multiply
Mr. Pham mowed 2/7 of his lawn. his son mowed 1/4 of the lawn who mowed the most? How much of the lawn still needs to be mowed
Answer:
I believe the answer is 13/18
Step-by-step explanation:
if is not sorry but this is for 5th grade exit ticket only
last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
Given that x=8 and y=5 the rectangle below, find the perimeter (P) and Area(A) of the rectangle
Answer:
Perimeter: 26
Area: 40
Step-by-step explanation:
Since we can't see the image, I'll just assume that X and Y are Length and Width?
In that case, the mathematical formula for finding (P) would be:
P = 2( L + W )
This means the the perimeter is: Two times the (Length plus Width)
If we input the two numbers, the equation is now:
P = 2 ( 8 + 5 )
When you multiply these values, the final answer for perimeter will be 26.
----------------------------------------------------------------------------------------------------------
To find the (A) of a rectangle, you must multiply the ( Length) and (Width).
So, if the length is 8, and the width is 5. 8 x 5 = 40.
Meaning that the area of this shape is 40.
------
Perimeter: 26
Area: 40
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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Tony's Tires offers a 40% discount on new tires that normally cost $285 each. What is the amount of discount for one tire?
0.95 is 0.5% of what number?
Answer:
0.95 is 0.5% of 190
What is integers on numbers lines .
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
Pls helppppppppoppppppp
Answer:
H. 3\(\frac{3}{4}\)feet
Step-by-step explanation:
Length of scale drawing = \(\frac{3}{12}\) × 15feet
= 3\(\frac{3}{4}\)feet
Determine whether the equation defines y as a function of x.
x+y=9 and x^2+y^2=1 and x=y^2
Answer:
Function: \(x+y=9\)
Not Function: \(x^2+y^2=1\) and \(x=y^2\)
Step-by-step explanation:
Given
\(x+y=9\)
\(x^2+y^2=1\)
\(x=y^2\)
Required
Determine if \(y\) is a function of \(x\)
Solving x+y=9
\(x+y=9\)
Make y the subject of formula
\(y = 9 - x\)
Hence; y is a function of x
Solving \(x^2+y^2=1\)
\(x^2+y^2=1\)
Subtract x² from both sides
\(y^2=1 - x^2\)
Square root of both sides
\(y =\± \sqrt{1 - x^2}\)
This implies that
\(y =\sqrt{1 - x^2}\) or \(y =-\sqrt{1 - x^2}\)
Because \(y\) can be any of those two expressions, it is not a function.
Solving \(x=y^2\)
\(x=y^2\)
Reorder
\(y^2 = x\)
Take square roots
\(y = \±\sqrt{x}\)
This implies that
\(y = \sqrt{x}\) or \(y = -\sqrt{x}\)
Because \(y\) can be any of those two expressions, it is not a function.
Last week, Thomas jogged a total of 35.209 miles on his treadmill. Two weeks ago, he jogged 38.074 miles.
How many fewer miles did Thomas jog last week than the week before?
Answer:
2.865
Step-by-step explanation:
pls rate five stars, thanks :)
The value of a is the value of 3x2 - 4x - 3 when x = -2. Find the value of 3a - 3.
Step-by-step explanation:
put the value of x in equation and you get the answer
then put value of a on 3a-3
In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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The container that holds the water for the football team is 2/5 full. After pouring in 6 gallons of water, it’s 7/10 full. How many gallons can the container hold
Answer:
20
Step-by-step explanation:
We need to determine what fraction of the container 6 gallons is. We know the difference between 2/5 and 7/10 is 6 gallons, so all we have to do is solve for 7/10 - 2/5. The common denominator is 10, as both 5 and 10 are factors of 10. 10/5 is 2, so we multiply the numerator of 2/5 by 2.
7/10 - 4/10 = 3/10
We now know that 6 gallons is 3/10 of the container. Now we solve.
10/3 = 3 1/3
So:
6 x 3 1/3 = 20
Answer:
20 gallons.-
Step-by-step explanation:
Let x be the number of gallons that the container holds.
The we have the equation
2/5 x + 6 = 7/10 x
Multiply through be 10
4x + 60 = 7x
3x = 60
x = 20.
Out of 482 employees at the Coca Cola plant 37 are taking a vacation next week what percentage of employees are not vacationing
Answer:
92.3% are not vacationing
Step-by-step explanation:
482 - 37 = 445
445 * 100 / 482 = 92.3
Fred started a new e-commerce business and borrowed 15000 for 12 years to get the business up and running. The interest is 18000. Find the rate
Answer:
The rate is 6.94 %
Step-by-step explanation:
Given;
Amount borrowed by Fred to start up the e-commerce, P = 15000
time of investment, t = 12 years
interest, I = 18000
The rate is given by the following equation;
P = IRt
R = P / It
where;
R is the rate
P is the principal
I is the interest
t is the time
R = (15000) / (18000 x 12)
R = 0.0694
R = 6.94 %
Therefore, the rate is 6.94 %
Which is true about the product of 3/8 and 7/2?
Answer:
Nothing ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎
Step-by-step explanation:
Answer:
Do you have the options? Or..
Write the equation in slope-intercept form
through (-2, 1) parallel to y = -3x+1
Answer:
A parallel line has the same slope, but is translated away from the line it is parallel to. Let's create an equation using what we have:
−
1
=
−
3
(
−
2
)
+
b
−
1
=
6
+
b
−
7
=
b
y
=
−
3
x
−
7
Hope this helped!!
Determine the equation of the parabola that opens to the right, has focus (13,-6),
and a focal diameter of 28.
The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.
To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:
\((x - h)^2 = 4p(y - k)\)
Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).
Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).
We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.
We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.
Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.
for such more question on parabola
https://brainly.com/question/18274774
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Solve for k and graph the solution. 0≥ k+14 3 > – 2
The graph of the solution set for the inequality -14 ≥ k > -20 is on the image at the end.
How to solve the inequality for k?To do this we just need to isolate the variable k in the middle.
We start with:
0 ≥ (k+14)/3 > – 2
We can multiply both sides by 3:
3*0 ≥ (k+14) > – 2*3
0 ≥ (k+14) > - 6
Now subtract 14 in both sides:
-14 ≥ k > -6 - 14
-14 ≥ k > -20
Then we need to draw an open circle at k = -20 and a closed circle at k = -14, and connect them with a line, like in the image below.
Learn more about inequalities at:
https://brainly.com/question/24372553
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