a) Hence the distance between U and N is d=5 units.
b)Hence the slope of UF is \(\frac{1}{6}\)
The triangle FUN has vertices located at F(-2,-3), U(4,-2) and N(1,2)
a) Find the length of the UN,
We know that distance between two points is-
let two points (x,y) and (s,t) then
d=√((s-x)²+(t-y)²)
We have U(4,-2) and N(1,2)
d=√(1-4)²+(2+2)²
d=√9+16
d=√25
d=5
Hence the distance between U and N is d=5 units.
b) Find the slope of UF
We know that the formula for slope of (x,y) and (s,t)
\(m=\frac{t-y}{s-x}\\\)
We have U(4,-2) and F(-2,-3)
\(m=\frac{-3+2}{-2-4}\\\\m=\frac{-1}{-6}\\\\m=\frac{1}{6}\)
Hence the slope of UF is \(\frac{1}{6}\)
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I hate sails math- like what is the point of it? -_-
Answer:
The only math I see having a point is basic math like addition subtraction multiplication and division, unless you are going for a job that requires ALOT of harder math.
I need help solving these
1. 1. Vocabulary What does the exponent in the expression \(5^{6}\) tell you?
Answer: it means that \(5\) is multiplied by itself \(6\) times: \(5^{6} =5*5*5*5*5*5=15625\)
1. 2. \(4*4=4^{2}=16\)
The power is \(2\) or square, notice how the geometric model is made out of dots forming a flat square.
1. 3. \(2*2*2*2=2^{3} =8\)
The power is \(3\) or cube, notice how the geometric model is a cube.
1. 4. \(9*9=9^{2}=81\)
The power is \(2\) or square, notice how the geometric model is a flat square.
2. 5. \(7^{2} =49\)
2. 6. \((-2)^{4} = -2*-2*-2*-2=4*4=16\)
2. 7. \((-2)^{5} =16*-2=-32\)
2. 8. \(-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}\)
3. 9. \(81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}\)
3. 10. \(100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,\)
\(10*10*10*10*10=10^{5}\)
3. 11. \(-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}\)
3. 12. \(10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}\)
3. 13. \(81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}\)
3. 14. \(36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}\)
4. 15. Technology First week => \(3\) hits, every week => the number of hits triples, means \(3^{3}\), 5th week => hits every week * 5 = \(3^{3}*5=27*5=135\) hits.
I apologize if there's any misspelling or wrong answer.
describe an algorithm that takes as input a list of n integers and finds the number of negative integers in the list.
An algorithm that takes as input a list of n integers and finds the number of negative integers in the list:
1. Initialize a variable called count to 0.
2. Loop through the list of n integers:
a. If the current integer is negative, increment the count variable by 1.
b. Otherwise, continue to the next integer.
3. Return the count variable as the number of negative integers in the list.
This algorithm iterates through each integer in the list and checks if it's negative. If it is, it increments a count variable. At the end of the loop, the count variable contains the total number of negative integers in the list, which is returned as the output of the algorithm.
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An algorithm that takes as input a list of n integers and finds the number of negative integers in the list:
1. Initialize a variable called count to 0.
2. Loop through the list of n integers:
a. If the current integer is negative, increment the count variable by 1.
b. Otherwise, continue to the next integer.
3. Return the count variable as the number of negative integers in the list.
This algorithm iterates through each integer in the list and checks if it's negative. If it is, it increments a count variable. At the end of the loop, the count variable contains the total number of negative integers in the list, which is returned as the output of the algorithm.
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HELP HELP HELP PLS
What is the common denominator between 5/7 and 2/6?
What should the renamed numerators be? (Just type the numerator, not the entire fraction).
Answer:
21 is common denominator.
15 and 7 are the corresponding numberators.
Step-by-step explanation:
You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.
Answer:
30 and 14
Step-by-step explanation:
5/7 = times by 6 to get 30/42
2/6 = times by 7 to get 14/42
If a car travels 300 miles on 15 gallons of gas, how far can it travel on 90 gallons?
Answer:
1800
Step-by-step explanation:
because 15 goes into 90 6 times and 300 times 6 is 1800
Answer:
1800 miles
Step-by-step explanation:
300 miles on 15 gallons
90/15=6
6 times 300=1800
i will mark brainliest rn
Answer:
65 is the correct answer
Farmer Kaylee collected 44 eggs to sell. She will sell the eggs in baskets. She wants to put the same number of eggs in each basket without any eggs left over. How many eggs could Farmer Kaylee put in each basket?
Answer:
yo I need this to
Step-by-step explanation:
please let me know when you get the answer thank you
can anyone help explain -18 x/10
Answer:9x/5
Step-by-step explanation:hope it helps
A drawer contain pens , 14 blue pens and 8 black pens , 14 silver paper clips , and 16 white paper clips . If you randomly select a pen and paper clip from the drawer , what is the probability that you select a red pen and white paper clip
Step-by-step explanation:
Total pens = 22
Total clips = 30
Probability of red pen = 0
Because there are no red pens
Probability of white clip = 16/30 = 8/15
I need help with this
a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).
To solve:
12 - 4x = 15 - 3x
12 = 15 + x
-3 = x
Therefore, x is equal to -3.
b) To find the value of AB, plug in the value of x found in part a).
12 - 4x
12 - 4(-3)
12 - (-12)
12 + 12 = 24
Thus, segment AB is equal to 24.
c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.
15 - 3x
15 - 3(-3)
15 - (-9)
15 + 9 = 24
Thus, segment DE is also equal to 24.
We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.
I hope this helps!
What is the value of (2)⁶?
Answer:
64
Step-by-step explanation:
2 to the sixth power would be 2 multiplied by itself 6 times
A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval
The confidence interval is from 3.44 to 4.06 minutes.
According to the statement
we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%
and we have to find the mean interval.
So, We know that the
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.
We know that the z value for 90% confidence interval is 1.64.
so, The formula to calculate margin of error is
MOE = Z*standard deviation/ (n)^1/2
put the values in it
MOE = Z*standard deviation/ (n)^1/2
MOE = 1.64*0.5/ (7)^1/2
MOE = 1.64*0.189
MOE = 0.310
And to find the interval the formula is
Confidence interval = sample mean ± margin of error
Confidence interval = 3.75 ± 0.310
Confidence interval = (4.06,3.44)
So, The confidence interval is from 3.44 to 4.06 minutes.
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which orderd pair is a solution to the system of solving equations ? y=2 2x + y =8
Answer:
(3,2)
Step-by-step explanation:
we know y=2, so we plug y into 2x+y=8
2x+2=8
2x=8-2
2x=6
x=6/2
x=3
so...
x=3 and y=2
(3,2)
b nate wants to have fair representation from the two best neighborhoods in boston. how many ways can he choose 9 total pickleballers for his team that includes at least 3 players from dorchester (best neighborhood) and at least 3 players from jamaica plain (distant second-best)?
There are 990 ways for Nate to choose a team of 9 pickleballers that includes at least 3 players from Dorchester and at least 3 players from Jamaica Plain.
To find the number of ways Nate can choose his team, we can use a combination formula. Since Nate needs to have at least 3 players from each neighborhood, we can consider two scenarios: one where exactly 3 players are chosen from each neighborhood, and another where more than 3 players are chosen from each neighborhood.
In the first scenario, Nate selects 3 players from Dorchester and 3 players from Jamaica Plain, leaving him with 3 more spots to fill. The remaining 3 players can be chosen from any of the neighborhoods, giving us 3 possibilities: all 3 players from Dorchester, all 3 players from Jamaica Plain, or 2 players from one neighborhood and 1 player from the other. For each of these possibilities, we need to calculate the number of ways to choose the players.
In the second scenario, Nate selects more than 3 players from each neighborhood. We can choose 4 players from Dorchester and 3 players from Jamaica Plain, or vice versa. This gives us a total of 2 possibilities. Again, for each possibility, we need to calculate the number of ways to choose the players.
By summing up the possibilities from both scenarios, we find that there are 990 ways for Nate to choose a team of 9 pickleballers that includes at least 3 players from Dorchester and at least 3 players from Jamaica Plain.
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I need help please!!!
Answer: \(g = 6\sqrt{6} \ \ \text{yards}\)
=============================================
Explanation:
When dealing with a 30-60-90 triangle, the short leg x and the long leg y can be tied together using this formula
\(y = x*\sqrt{3}\)
We see that the long leg is exactly \(\sqrt{3}\) times longer than the short leg.
Therefore we can say,
\(y = x*\sqrt{3}\\\\y = 6\sqrt{2}*\sqrt{3}\\\\y = 6\sqrt{2*3}\\\\y = 6\sqrt{6}\\\\g = 6\sqrt{6}\\\\\)
La suma de las probabilidades de todos los posibles resultados de un experimento aleatorio debe ser igual a
Respuesta: Uno
La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.
Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.
Espero haber ayudado, buena suerte! :)
The angle measures of $\triangle ABC$ are $A=54\degree$ , $B=38\degree$ , and $C=88\degree$. List the sides of the triangle in order from shortest to longest
The triangle's sides are b, a, and c, listed from shortest to longest.
The side of triangle ABC opposite angle A is indicated by the letter a.
The letter b stands for the side opposite angle B.
The letter c stands for the side that faces angle C.
The triangle inequality theorem, states that, in order to establish the order of the sides from smallest to longest,
The largest side is the one opposite the largest angle and vice versa.
Hence, we have
B = 38 degrees, thus b.
a = 54 degrees from A
c from C equals 88 degrees.
As a result, the sides are arranged in the following order: b a c.
In other words, the side across from angle B is the smallest, followed by the side across from angle A, and the side across from angle C is the longest.
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the sum of the digits of a two-digit number is 11 the tens digit is one less thn three times the ones didgit find the original number
Answer:
The original number is 83
Step-by-step explanation:
let the number be ab
Sum of the two is 11
a + b = 11
tens digit a is one less than 3 times the ones digit
3b - a = 1
a = 3b - 1
3b -1 + b = 11
4b = 11 + 1
4b = 12
b = 12/4
b = 3
a = 3b - 1
a = 3(3) - 1
a = 9-1
a = 8
Weights Pounds12.90 $17.1518.20 $23.7720.50 $26.7216.40 $19.8715.40 $23.2210.60 $9.14A. Find the numerical value for correlation between weight and pounds B. Report the equation of the best straight line as predictor (x) and the cost as (y)C. Report the slope and interception of the regression line and explain what it shows. If the intercept is not appropriate, explain D. Report the slope of the regression line and explain what it showsE. Add a new point to your data. A 30 pound turkey is free. Give the new value for R and the new regression equation. What does the negative correlation implies
We have a set of data that relates weights and pounds.
A. We have to find the numerical value for the correlation between weight and pounds.
We can express the correlation coefficient between two samples x and y as:
\(r_{xy}={\frac{\sum_{i}x_{i}y_{i}-n{\bar{x}}{\bar{y}}}{{\sqrt{\sum_{i}x_{i}^{2}-n{\bar{x}}^{2}}} {\sqrt{\sum_{i}y_{i}^{2}-n{\bar{y}}^{2}}}}}.\)The col Villeda are buying a new car. The cash price is $35,000.00. They will make a down payment of 20% or 5,000. The balance will be covered an installment loan. The loan will be repaid in 48 monthly payment of $651. The annual percentage rate for loan is
The annual percentage rate, APR, for the loan is about 5.486%
What is an annual percentage rate?The annual percentage rate is the cost of a loan or interest on an investment per year during the loan term or period.
Price of the car = $35,000.00
The down payment = 20% of $35,000 = $7,000
The installment loan details include;
The number of installment = 48 monthly installment
The amount paid each month = $651
The total payment, A= 48 × 651 = 31248
The equal monthly installment (EMI) formula is presented as follows;
\(EMI = P\cdot \frac{r\cdot (1+r)^n}{(1+r)^n -1}\)
Where;
EMI = The equal monthly installment paid = $651
P = The principal amount of the loan
r = The interest rate
n = Number of payments to be made = 48
The principal is therefore;
P = $35,000.00 - $7,000.00 = $28,000.00
Therefore;
The
\(651 = 28000\times \frac{r\cdot (1+r)^{48}}{(1+r)^{48} -1}\)
Using an online calculator and by trial and error, or by graphing we get;
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A 32-cup container of laundry detergent costs $34.56. what is the price per quart?
To find the price per quart, we need to convert the 32 cups to quarts and then divide the total cost by the number of quarts.
There are 4 cups in a quart, so to convert 32 cups to quarts, we divide 32 by 4.
32 cups / 4 = 8 quarts.
Now, we divide the total cost of 34.56 by the 8 quarts to find the price per quart.
34.56 / 8 quarts = 4.32 per quart.
Therefore, the price per quart of the 32-cup container of laundry detergent is 4.32.
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The price per quart is $4.32. To find the price per quart, we divide the total cost by the number of quarts. In this case, the 32-cup container of laundry detergent costs $34.56, and since there are 8 quarts in the container, the price per quart is $4.32.
To find the price per quart, we first need to determine the number of quarts in a 32-cup container. Since there are 4 cups in 1 quart, we can divide 32 cups by 4 to get the number of quarts:
32 cups ÷ 4 cups/quart = 8 quarts
Now that we know there are 8 quarts in the container, we can find the price per quart by dividing the total cost by the number of quarts:
$34.56 ÷ 8 quarts = $4.32/quart
Therefore, the price per quart of the 32-cup container of laundry detergent is $4.32.
In conclusion, to find the price per quart, we divide the total cost by the number of quarts. In this case, the 32-cup container of laundry detergent costs $34.56, and since there are 8 quarts in the container, the price per quart is $4.32.
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The equation of line line a gis y = (startfraction b over a c endfraction)x. the midpoint of bc is (a c, b). does the midpoint of bc lie on line a g? why or why not? no, because (startfraction b over a c endfraction)b does not equal a c no, because (startfraction b over a c endfraction)(a c) does not equal b yes, because (startfraction b over a c endfraction)b = a c yes, because (startfraction b over a c endfraction)(a c) = b
yes, because the midpoints (a+c) = b
Given that the line's equation is y=x.
B and C are the two points on this line.
( a+ c, b) is the midpoint of B and C.
We can see from this that using the midpoint formula
a + c = \(\frac{x1+x2}{2}\)
b=\(\frac{y1+y2}{2}\)
Because both points are on y=x, we get
x1=y1, x2=y2.
As a result, x1 = a+c and 2y1 = 2b or y1 =b.
Because x1=y1, we have a+c =b.
In other words, the coordinates of the midpoint satisfy the equation y=x.
Thus, the answer is
because (a+c) = b
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Find the slope (3,6)
(3,-3) need in 5 minutes
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3
evaluate the line integral, where c is the given curve. c xyz2 ds, c is the line segment from (−3, 6, 0) to (−1, 7, 3)
The line integral of f(x,y,z) = xyz² over the curve c is approximately equal to 91.058.
How to calculate the valueThe line integral of the given function f(x,y,z) = xyz² over the curve c can be expressed as:
∫c f(x,y,z) ds = ∫[a,b] f(r(t)) ||r'(t)|| dt
Now we can calculate r'(t):
r'(t) = (2, 1, 3)
||r'(t)|| = ✓(2² + 1² + 3²) = sqrt(14)
∫c f(x,y,z) ds = ∫[0,1] (x(t) * y(t) * z(t)²) * ✓(14) dt
∫c f(x,y,z) ds = ∫[0,1] (-3 + 2t) * (6 + t) * (3t)² * ✓(14) dt
Simplifying and integrating, we get:
∫c f(x,y,z) ds = 9✓(14) ∫[0,1] (216t × 216t⁴ - 81t⁴ - 12t³) dt
∫c f(x,y,z) ds = 9✓(14) * (43/20) = 91.058
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Which angle number is supplementary to angle Answer:
Answer:
Angle 8
Step-by-step explanation:
Supplementary angles are angles that are equal to 180 degrees.
How many inches means 1 feet?
1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.
Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.
To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.
For example,
if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.
It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.
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You rolled a number cube 20 times, you get three 14 times. What is the experimental probability that you will roll a three on your next roll?
The experimental probability that you will roll a three on your next roll is 70%.
To calculate the experimental probability of rolling a number three on the next roll, we need to use the data given in the problem. Out of the 20 rolls that were performed, the number three was rolled 14 times.
The experimental probability is calculated by dividing the number of times the event occurred (in this case, rolling a number three) by the total number of trials.
So, the experimental probability of rolling a number three on the next roll is:
14/20 or 7/10
This means that based on the data from the previous 20 rolls, there is a 70% chance of rolling a number three on the next roll.
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use numbers from 1 to 13 you can only use 9 numbers. each row, column. and diagonal has to equal 27
Answer:12+13+2=27
Step-by-step explanation: pretty self-explanatory
A bowl in the shape of a hemisphere has a volume of 486π
cubic centimeters. What is the radius of the bowl?
The radius of a Hemisphere-shaped bowl with a volume of 486π cubic centimeters is 9 centimeters. This can be found by using the formula for the volume of a hemisphere and solving for the radius.
The volume of a hemisphere is given by the formula:
V = (2/3)πr^3
where V is the volume and r is the radius. We are given that the volume of the bowl is 486π cubic centimeters, which is the volume of a full hemisphere. Therefore, we can write:
(2/3)πr^3 = 486π
Dividing both sides by (2/3)π, we get:
r^3 = (3/2) x 486
r^3 = 729
r = 9
Therefore, the radius of the bowl is 9 centimeters.
We can check this answer by calculating the volume of a hemisphere with radius 9:
V = (2/3)π(9)^3
V = 2π(243)
V = 486π
As expected, this is the same as the given volume of the bowl.
the radius of a hemisphere-shaped bowl with a volume of 486π cubic centimeters is 9 centimeters. This can be found by using the formula for the volume of a hemisphere and solving for the radius.
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1. 800 tickets were sold for a Rock Music
Concert with a total revenue of $7500. If
adult tickets were sold for $12 and students
tickets were sold for $8. How many of each
type of ticket were sold?
I will set it up for you only.
Let a = adult tickets
Let s = student tickets
Here is your system of equations:
a + s = 800
12a + 8s = 7500