Answers
Coordinate of C;
\(( \frac{(1 - 3)}{2} , \frac{(2 - 4)}{2} )\)
apply the formulae, replace the variables with the given values.
Slope;
\(m = \frac{(4 - 2)}{(3 - 1)} \)
again, apply the formulae, replace the variables with the given values.
calculate it urself, ive done enough
Answer:
Answers below in bold.
Step-by-step explanation:
Midpoint formula:
\((\frac{1+3}{2} , \frac{4+2}{2} )\)=
\((\frac{4}{2} , \frac{6}{2} )=\)
(2, 3)
Point C is on the point (2, 3)
Slope:
\(\frac{4-2}{3-1} =\)
\(\frac{2}{2}\)=
1
The slope is going at y=x+1
Related Questions
which of the following are characteristics of bar charts? multiple select question. plotted rectangles should be the same height. plotted rectangles should be the same width. bar charts are used for qualitative data. there should be gaps between bars.
Answers
The correct characteristics of bar charts are:Plotted rectangles should be the same height.Plotted rectangles should be the same width.There should be gaps between bars.
Plotted rectangles should be the same height: In a bar chart, each rectangular bar represents a specific category or group, and the height of the bar corresponds to the value or quantity associated with that category. To accurately represent the data, all the bars in a bar chart should have the same height, allowing for easy visual comparison between the different categories.Plotted rectangles should be the same width: The width of the rectangular bars in a bar chart is not significant and can vary.
The emphasis is placed on the height of the bars to represent the data accurately. However, it is common practice to keep the bars in a bar chart equally spaced and of uniform width to maintain consistency and visual appeal.Bar charts are used for qualitative data: This statement is incorrect. Bar charts are primarily used to represent categorical or qualitative data.
The categories or groups are typically displayed along the horizontal axis, while the vertical axis represents the values or frequencies associated with each category.
There should be gaps between bars: In a bar chart, it is standard to have gaps between adjacent bars to visually separate them and avoid the appearance of a continuous bar. These gaps help distinguish individual categories and make it easier for viewers to interpret the chart accurately.So, the correct characteristics of bar charts are that the plotted rectangles should be the same height, the plotted rectangles should be the same width, and there should be gaps between bars.
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The main characteristics of bar charts are that they should have bars of equal width, use gaps to distinguish different categories, and they can represent both qualitative and quantitative data. The bars could represent various entities like countries, or years, and the size of the bar depicts a numerical or percentage information.
Explanation:The characteristics of bar charts include the following: the plotted rectangles (bars) should be of the same width to ensure uniformity, and they represent quantities, sizes, rates or other numerical values. Bar charts are not only useful for displaying qualitative data, but they can also represent quantitative data. Moreover, there should ideally be gaps between the bars to distinguish between the different categories being compared.
These charts use either horizontal or vertical bars to show comparisons among categories. For instance, bars in a bar chart can represent different countries or years, and the height or length of the bar signifies a numerical or a percentage value. Bar graphs provide a visual perspective that aids in understanding data better and enables easy comparison of data across different categories.
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Find the unit vector that has the same direction as the vector \( v \) \[ v=4 i+j \]
Answers
The unit vector that has the same direction as the vector \( v = 4\mathbf{i} + \mathbf{j} \) is \( \mathbf{u} = \frac{4}{\sqrt{4^2+1^2}} \mathbf{i} + \frac{1}{\sqrt{4^2+1^2}} \mathbf{j} \).
To find the unit vector that has the same direction as \( v = 4\mathbf{i} + \mathbf{j} \), we need to normalize the vector. The process involves dividing each component of the vector by its magnitude.
Step 1: Calculate the magnitude of \( v \) using the formula \( \|v\| = \sqrt{v_x^2 + v_y^2} \), where \( v_x \) and \( v_y \) are the components of \( v \). In this case, \( v_x = 4 \) and \( v_y = 1 \), so \( \|v\| = \sqrt{4^2 + 1^2} = \sqrt{17} \).
Step 2: Divide each component of \( v \) by its magnitude to obtain the unit vector. The unit vector \( \mathbf{u} \) is given by \( \mathbf{u} = \frac{v}{\|v\|} \), which yields \( \mathbf{u} = \frac{4}{\sqrt{17}} \mathbf{i} + \frac{1}{\sqrt{17}} \mathbf{j} \).
Therefore, the unit vector that has the same direction as \( v = 4\mathbf{i} + \mathbf{j} \) is \( \mathbf{u} = \frac{4}{\sqrt{17}} \mathbf{i} + \frac{1}{\sqrt{17}} \mathbf{j} \).
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Task 9: Cookie Jar Problem There was a jar of cookies on the table. Latoya was hungry because she hadn't had breakfast, so she took half of the cookies. Then Mark came along and noticed the cookies. He thought they looked good, so he ate a third of what was left in the jar. Kandi came by and decided to take a fourth of the remaining cookies with her to her next class. Then Shannon came dashing up and took a cookie to munch on. When Michelle looked at the cookie jar, she saw that there were two cookies left. "How many cookies were there in the jar, to begin with?" she asked Kira.
Extension: If there were 2/3 of a cookie left over, how many cookies were there before Latoya came?
Can you please explain the work too, please!
Answers
The number of cookies in the jar initially was 42
To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.
We can use this information to set up the equation:
x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.
By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.
So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.
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In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answers
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
how do you determine the quadratic equation having roots that are real numbers and equal
Answers
Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
ANSWER:
when the value of (b^2-4ac) is positive, then the roots are real and distinct.
when it is 0 the roots are equal and if it is negative than its root is not real.
Ayudaaaaaa please……………….
Answers
Answer:
Step-by-step explanation:
1. When do you eat dinner?
2. When do you get ready for school?
3. When do you brush your teeth?
4. When do you go to school?
5. When do you say your prayers?
6. When do you go to bed?
7. When do you eat lunch?
8. When do you see your dad?
9. When do you drive home from work?
10. When do you eat breakfast?
1. What time does school start?
2. What time is lunch at schoo?
3. What time does school end?
4. What time does your dad come home from work?
5. What time does your favorite show start
6. What time is it now?
7. What time is your bedtime?
8. What time does your plane leave?
9. What time do you wake up?
10. What time does your soccer game start?
to write it in a slope-intercept form
Answers
Explanation: The slope-intercept form is written as, where m is the slope and b is the y-intercept. It's usually easy to graph a line using y=mx+b.
Calculate the Taylor polynomials T 2
and T 3
centered at x=a for the function f(x)=23ln(x+1),a=0. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Answers
the Taylor polynomial T2 centered at x = 0 is 23x - (23/2)x^2, and the Taylor polynomial T3 centered at x = 0 is 23x - (23/2)x^2 + (23/3)x^3.
To find the Taylor polynomials T2 and T3 centered at x = a for the function f(x) = 23ln(x+1), where a = 0, we need to calculate the function's derivatives at x = a and evaluate them at a.
First, let's find the derivatives:
f(x) = 23ln(x+1)
f'(x) = 23 * 1/(x+1) * (d/dx)(x+1) = 23/(x+1)
f''(x) = (d/dx)(23/(x+1)) = -23/(x+1)^2
f'''(x) = (d/dx)(-23/(x+1)^2) = 46/(x+1)^3
Now, let's evaluate the derivatives at x = a = 0:
f(0) = 23ln(0+1) = 23ln(1) = 23 * 0 = 0
f'(0) = 23/(0+1) = 23/1 = 23
f''(0) = -23/(0+1)^2 = -23/1 = -23
f'''(0) = 46/(0+1)^3 = 46/1 = 46
Now we can construct the Taylor polynomials:
T2(x) = f(0) + f'(0)(x-a) + (f''(0)/2!)(x-a)^2
= 0 + 23(x-0) + (-23/2)(x-0)^2
= 23x - (23/2)x^2
T3(x) = T2(x) + (f'''(0)/3!)(x-a)^3
= 23x - (23/2)x^2 + (46/6)(x-0)^3
= 23x - (23/2)x^2 + (23/3)x^3
Therefore, the Taylor polynomial T2 centered at x = 0 is 23x - (23/2)x^2, and the Taylor polynomial T3 centered at x = 0 is 23x - (23/2)x^2 + (23/3)x^3.
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the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?
Answers
The department's sales per square foot are $51.16 per square foot.
What is division?Division is the process of dividing a number by a given number.
Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.
The sales per square foot are:
(total sales)/ (total area)
= 15349/300
= 51.16
Hence, the department's sales per square foot are $51.16 per square foot.
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Bir kurbağa ileriye doğru 2m zıplamaktadır bir zıplayşı 5 saniye tamamladığına göre 3 dakika sonunda kaç metre ilerlemiş olur? Anlatarak ve çözümlü olsun boş şey yazanı bildiririm ve çözümlü yapmayanıda bildirir ve hasabını silerim ;)
Answers
Answer:
72 metre :D
Step-by-step explanation:
what are the factors of 48 and 53
Answers
Answer:
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors for 53: 1 and 53.
Choose one answer
Pls fast anyone
Answers
Answer:
\(x=10\)
Step-by-step explanation:
Pythagorean theorem: \(a^{2}+b^{2}=c^{2}\)
Answer:
B
Step-by-step explanation:
Pythagorean theorem states that a²+b²=c²
Through observation, I assumed that 8 was the hypotenuse
I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64
I subtracted 36 from 64 leaving me with 28=a²
Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Answers
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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13. The diagonal crossbar of an old wooden gate has
rusted. The gate is rectangular, 3 feet by 4 feet. How
long is the crossbar (diagonal)?
Answers
The length of the diagonal crossbar of the old wooden gate is 5 feet.
To find the length of the diagonal crossbar of the old wooden gate, we can use the Pythagorean theorem. The gate is a rectangle with dimensions of 3 feet by 4 feet.
Let's represent the sides as 'a' and 'b', and the diagonal (crossbar) as 'c'.
According to the Pythagorean theorem, a²+ b² = c².
In this case, a = 3 feet and b = 4 feet.
So, we have:
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
To find the length of the diagonal (c), we take the square root of 25:
c = √25
c = 5 feet
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if you were to walk around the perimeter of a particular building, you would cover 2516 ft. if this rectangular building is 194 ft longer than it is wide, what are its dimensions?
Answers
Answer:
532 ft wide726 ft longStep-by-step explanation:
You want to know the dimensions of a rectangular building that has a perimeter of 2516 feet and is 194 feet longer than wide.
SetupLet w represent the width of the building. Then w+194 is the length, and the perimeter is ...
P = 2(L +W)
2516 = 2((w+194) +w)
Solution2516 = 4w +388 . . . . simplify
2128 = 4w . . . . . . . subtract 388
532 = w . . . . . . . divide by 4
w+194 = 726 . . . . . length
The building is 532 feet wide and 726 feet long.
The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answers
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
Hurry I need to get this done
Answers
A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
It took 6 minutes to pick 24 apples. How many apples could be picked in 8 minutes at the same rate? Dennis said, "I should divide 24 by 6 to get a rate of 4 apples per minute. So, if I multiply 4 apples per minute by 8 minutes, the answer would be 32 apples." Which statement best describes Dennis' reasoning? A. Dennis is correct. B. Dennis is incorrect because he should've devided 6 by 24 to find the answer.. C. Dennis should have divided 8 by 4. D. He should've added 2 to 24.
Answers
It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
Dennis' reasoning is incorrect.
To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.
Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.
The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.
To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
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Which factored form is equivalent to the expression x^2 + 5x + 4? A) (x + 2)(x + 3) B) (x + 4)(x + 1) C) (x + 5)(x − 1) D) (x − 4)(x + 1)
Answers
option B.
Calculations ↓
First, let's think of two numbers so that :
if we multiply these numbers, we'll get 4if we add these numbers, we'll get 5These numbers are :
4 and 1
Plug these numbers here :
(x+4) (x+1)
So the correct factored form of this expression is
Option B) (x+4)(x+1)
\(\footnotesize\text{hope\:helpful~}}\)
You budgeted $25.20 for buying snacks for a party, and spent it all on 8.5 pounds of nuts. Peanuts cost $2.40 per pound. Cashews cost $3.90 per pound. How many pounds of Cashews should you buy?
Thank you! :)
Answers
2.6 pounds based off what I did so I dont know
There is a jar containing 80 all of which are either quarters or die the total value of the coins is $13 how many of each coin are there in the jar make sure to write the Quetion social work
Answers
Answer:
There are 33 quarters and 47 dimes
Step-by-step explanation:
Let the number of quarters be q.
Let the number of dimes be d.
There are 80 coins in total. Therefore:
q + d = 80 ________(1)
The total value of coins is $13.
The value of a quarter is $0.25 and the value of a dime is $0.10. This means that:
0.25q + 0.10d = 13 _____(2)
We have a system of equations:
q + d = 80 ________(1)
0.25q + 0.10d = 13 ____(2)
From (1):
q = 80 - d
Put this in (2):
0.25(80 - d) + 0.10d = 13
20 - 0.25d + 0.10d = 13
Collecting like terms:
-0.15d = 13 - 20
-0.15d = -7
d = -7 / -0.15
d ≅ 47
Therefore:
q = 80 - 47 = 33
There are 33 quarters and 47 dimes.
PLS HELP ASAP! TY
A parking garage at the airport charges $3 per hour, with a maximum charge of $15 per day. This is an example of a piecewise/step function. Using function notation, write and graph the function. Make sure to consider what you are charged if you park for part of an hour.
Answers
The equation for the given data is represented as y = 3x.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that a parking garage at the airport charges $3 per hour, with a maximum charge of $15 per day.
The graph is attached with the answer in which y represents total cost and x represents the cost of parking per hour. The red line is the graph for y = 3x and the blue line is the graph for the cost of parking per day y =$15.
Therefore, the equation for the given data is represented as y = 3x.
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The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 1500 hours and a standard deviation of 45 hours. Out of 625 freshly installed
light bulbs in a new large building, how many would be expected to last between 1390
hours and 1620 hours, to the nearest whole number?
Answers
We can anticipate that, rounded to the closest whole number, 618 light bulbs will last between 1390 and 1620 hours.
We can calculate the z-scores for each of these values using the following formula to determine the approximate number of light bulbs that will last between 1390 and 1620 hours:
Where x is the supplied value, is the mean, and is the standard deviation, z = (x - ) /.
Z = (1390 - 1500) / 45 = -2.44 for 1390 hours.
Z = (1620 - 1500) / 45 = 2.67 for 1620 hours.
We may calculate the area under the curve between these z-scores using a calculator or a normal distribution table.
The region displays the percentage of lightbulbs that are anticipated to fall inside this range.
Expected number = 0.9886 \(\times\) 625 = 617.875.
The region displays the percentage of lightbulbs that are anticipated to fall inside this range.
The area between -2.44 and 2.67 is approximately 0.9886, according to the table or calculator.
We multiply this fraction by the total number of light bulbs to determine the number of bulbs.
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simple random sampling uses a sample of size from a population of size to obtain data that can be used to make inferences about the characteristics of a population. suppose that, from a population of bank accounts, we want to take a random sample of six accounts in order to learn about the population. how many different random samples of six accounts are possible?
Answers
Number of different random samples of six accounts that can be taken from the population is (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
The number of different random samples of six accounts that can be taken from a population of size N
N choose k = N! / (k!(N-k)!)
where N is the population size, k is the sample size
we have N bank accounts and want to take a sample of size k = 6.
the number of different random samples of six accounts that can be taken from the population
= N! / (k!(N-k)!)
= N! / (6!(N-6)!)
= (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
Therefore, the number of random samples is (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
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Identify the point corresponding to P.
P′ (−2, 0)
P′ (−4, 0)
P′ (−3, −1)
P′ (−5, −3)
Answers
Answer:
(-4,0)
ignore this line
theorems include: vertical angles are congruent points on a perpendicular bisector are equidistant from the segment endpoints
find the m<ACS
find the m<SCE
find the m<FCA
Answers
Question 1
Vertical angles are congruent, so \(m\angle ACS=31^{\circ}\).
Question 2
Angles that form a linear pair add to \(180^{\circ}\), so \(m\angle SCE=149^{\circ}\).
Question 3
Angles that form a linear pair add to \(180^{\circ}\), so \(m\angle FCA=149^{\circ}\).
In order to be dropped from a particular course at top University, applicants' score has to be in the bottom 4% on the final MAT. Given that this test has a mean of 1,200 and a standard deviation of 120 , what is the highest possible score a student who are dropped from the top University would have scored? The highest possible score is:
Answers
The highest possible score a student who is dropped from the top university would have scored is approximately 1020.
To find the highest possible score for a student who is dropped from the top university, we need to determine the cutoff score corresponding to the bottom 4% of the distribution.
Since the test scores follow a normal distribution with a mean of 1,200 and a standard deviation of 120, we can use the Z-score formula to find the cutoff score.
The Z-score formula is given by:
Z = (X - μ) / σ
Where:
Z is the Z-score
X is the raw score
μ is the mean
σ is the standard deviation
To find the cutoff score, we need to find the Z-score corresponding to the bottom 4% (or 0.04) of the distribution.
Using a standard normal distribution table or a calculator, we can find that the Z-score corresponding to the bottom 4% is approximately -1.75.
Now, we can rearrange the Z-score formula to solve for the raw score (X):
X = Z * σ + μ
Plugging in the values:
X = -1.75 * 120 + 1200
Calculating this equation gives us:
X ≈ 1020
Therefore, the highest possible score a student who is dropped from the top university would have scored is approximately 1020.
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If f(c)=3x-5 and g(x)=x+3 find (f-g)(c)
Answers
The solution of the function, (f - g)(x) is 2x - 8.
How to solve function?A function relates input and output. Therefore, let's solve the composite function as follows;
A composite function is generally a function that is written inside another function.
Therefore,
f(x) = 3x - 5
g(x) = x + 3
(f - g)(x)
Therefore,
(f - g)(x) = f(x) - g(x)
Therefore,
f(x) - g(x) = 3x - 5 - (x + 3)
f(x) - g(x) = 3x - 5 - x - 3
f(x) - g(x) = 2x - 8
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!!!Quick!!! Barbara can walk 3200 meters in 24 minutes. How far can she walk in 3 minutes? (In Meters)
Answers
Answer:
400 meters
Step-by-step explanation:
First, divide 3,200 by 24 to find the rate, which is 133.3 (repeated).
Now, multiply 133.3 by 3, which is your answer! 133.3*3=399.9. 399.9 is extremely close to 400, so we can just round it to that.
Hope this helps you out and have a wonderful day (✿◡w◡)
A student in the Construction Trades program at the Cecil County School of Technology has 4 1/2gallons of paint. If he uses 2.75 gallons of the paint in one room, how many gallons of paint are left? Show your work on your paper and write your final equation and correct answer in the box below.
Answers
Answer:
1.75 gallons of paint
Step-by-step explanation:
A student in the construction trades program has 4 1/2 gallons of paint
If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows
= 4 1/2 - 2.75
= 9/2 - 2.75
= 4.5 - 2.75
= 1.75
Hence 1.75 gallons of paint are left