Therefore, the length of the segment connecting (-3,6) and (3,-6) is approximately 13.4 units.
What is line segment?A line segment is a part of a line that is bounded by two distinct endpoints and contains every point on the line between its endpoints. It can be measured in terms of length, which is the distance between its two endpoints. Unlike a line, a line segment has a definite length and can be drawn with a starting and ending point.
Here,
The length of the segment connecting (-3,6) and (3,-6) can be found using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)²]
where (x1, y1) = (-3, 6) and (x2, y2) = (3, -6)
d = √[(3 - (-3))² + (-6 - 6)²]
= √[6² + (-12)²]
= √(36 + 144)
= √180
≈ 13.4 units
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Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84The route to an ancient pyramid is 79 miles long
if you traveled the same amount of time for 3 days,
how many miles did you travel on the 4' day?
If the speed is 26.33 miles per day. Then the number of miles you traveled on the 4 days will be 105.33 miles.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
The route to an ancient pyramid is 79 miles long.
If you traveled the same amount of time for 3 days.
Then the speed will be
S = 79 / 3
S = 26.33 miles per day
Then the number of miles you traveled on the 4 day will be
26.33 = D / 4
D = 105.33 miles
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will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
what is the value of x in the quadratic equations?
x^2= 6x-9
A. x= -3 x=2
B. x= 9
C. x= 3
D. x= 0 x=1
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Find the area of each sector. Round your answers to the nearest tenth.
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
Please help really urgent
Answer:
0.0909
Step-by-step explanation:
4 blue + 5 red + 3 black = 12 chips in total.
p=probability
1st draw:
p (blue) = 4/12
there are now 11 chips in the bag, 4-1 =3 are blue.
2nd draw?
p (blue) = 3/11
probability of pulling one blue chip followed by another blue chip is:
(4/12) X (3/11) = (4X3)/12X11)
= (12)/(132)
= 1/11
0.0909
A linear function f(x) contains the coordinates (-9,4) and (6,4). Joy says f(x) is a horizontal line, and Lu says f(x) is a vertical line. Which student correctly described the function? Explain.
The student whose name is Joy has described the function correctly as the line is horizontal line.
What are the coordinates ?
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
The given coordinates of the linear function f(x) are (-9, 4) and (6,4).
The y-coordinates for both of these points will be the same if we plot them on the graph.
Additionally, if the y-coordinates on the graph are the same, then the line connecting these points is horizontal in nature.
So , we can conclude that , Joy is saying correct by saying it is a horizontal line.
Therefore , the student whose name is Joy has described the function correctly as the line is horizontal line.
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Choose the linear inequality that describes the graph the grey area represents the shaded region
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
how to find similarity in right triangles
A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
Answer:
4.4 ounces/ 4 ounce (if rounded)
Step-by-step explanation:
There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.
Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces
Hope this helps!
Ryan is traveling by car for his vacation. The first day, he travels 80 miles in 2 hours. The second day, he travels 100 miles in 3 hours. Is this a proportional relationship?
Answer:
No
Step-by-step explanation:
no on the first day he drove 40mph the second day he drove 33 mph
I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
4b - 3(6 + 2b) = 12
i
Answer:
-15
Step-by-step explanation:
4b - 3(6 + 2b) = 12
4b - 18 - 6b = 12
4b - 6b = 12 + 18
-2b = 30
b = 30/-2
b = -15
11 more than 4 times a number is 35. What is the equation and what is the solution?
Answer :
equation = 4x + 11 = 35
x = 6
Let the number be x
11 more than 4 times a number can be written mathematically
more than means addition
Since, the number is x
Therefore, 4 * x + 11 = 35
4x + 11 = 35
The equation is 4x + 11 = 35
To find x, collect the like terms
4x = 35 - 11
4x = 24
Divide both sides by 4
4x/4 = 24/4
x = 6
Therefore, the number is 6
how do I find range and domain
The amount of money Karen will have in her savings account after 15 weeks can be determined using the expression below:
d + 15x
where d represents the dollar amount currently in the account, and x represents the dollar amount Karen will add to the account each week.
If Karen currently has $20 in the account and adds $3 to it each week, how much should Karen have in the account after 15 weeks?
A)S38
B) $65
C) S105
D) $303
Can yall hel me with this pls
Answer:
X = 10
Z = 67
Step-by-step explanation:
We see that the angles are formed by the intersection of two lines.
Angles z and 67° are vertically opposite angles and therefore they are equal to each other
z°= 67°
Angles z and (7x + 43) are supplementary angles. The sum of these angles add up to 180°
z + 7x + 43 = 180
67 + 7x + 43 = 180
7x + 110 = 180
7x = 180 -110 = 70
x = 70/7 = 10
reflect triangle a in the x axis to give triangle b. then, rotate your triangle b 90° around the origin to give triangle c.
i have drawn the triangles but i don't know what the single transformation would be.
Triangle a is a shape that is formed by connecting three points.
What is triangle?Triangle is a geometric figure with three sides and three angles. It is one of the basic shapes in geometry. Triangles are either right, acute, or obtuse, depending on the size of each angle. The sum of the angles in a triangle is 180 degrees. Triangles can be classified into equilateral, isosceles, and scalene triangles, depending on the length of the sides. All three types of triangles have various applications in mathematics, physics and engineering.
In order to reflect triangle a in the x axis, triangle b must be a mirror image of triangle a. To achieve this, each point in triangle a must be reflected across the x axis. This is done by multiplying the y coordinate of each point in triangle a by -1. As a result, triangle b will have the same three points as triangle a, except that the y coordinates of each point in triangle b will be the opposite of what they are in triangle a.
After reflecting triangle a in the x axis to form triangle b, the next step is to rotate triangle b around the origin 90°. This can be achieved by finding the coordinates of each point in triangle b, then rotating each point around the origin. To do this, the x coordinates of each point in triangle b remain the same, while the y coordinates are multiplied by -1. As a result, triangle c will be formed as a 90° rotation of triangle b around the origin.
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Find an equation of the set of all points equidistant from the points A(-3, 4, 3) and B(4, 1, -2).
Describe the set.
a line perpendicular to AB
a sphere with diameter AB
a plane perpendicular to AB
a cube with diagonal AB
Answer:
The normal vector of the plane is the vector pointing from the midpoint to A.
The equation of the plane is
(-3.5)(x)+(1.5)(y)+(2.5)(z) -(-3.5)(0.5) -(1.5)(2.5) -(2.5)(0.5) = 0
Explanation:
The set of all points equidistant from A(-3, 4, 3) and B(4, 1, -2) is a plane. The equation of this plane can be found using the midpoint of the line segment connecting A and B and the vector pointing from the midpoint to A (or B), which is perpendicular to the plane.
The midpoint of the line segment connecting A and B is given by:
((-3 + 4)/2, (4 + 1)/2, (3 + -2)/2) = (0.5, 2.5, 0.5)
The vector pointing from the midpoint to A is given by:
(-3 - 0.5, 4 - 2.5, 3 - 0.5) = (-3.5, 1.5, 2.5)
The normal vector of the plane is the vector pointing from the midpoint to A.
The equation of the plane is
(-3.5)(x)+(1.5)(y)+(2.5)(z) -(-3.5)(0.5) -(1.5)(2.5) -(2.5)(0.5) = 0
The set of all points equidistant from A and B is a plane perpendicular to the vector AB, with the equation above.
What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
Bella has a stack of 41 bills (ones, fives, and tens) in an envelope. She has 3 less tens than fives and the quantity of ones doubles the number of fives. Write and solve an equation to determine how many of each bill type she has
Answer:
x+(x-3)+(2*x)=41
Step-by-step explanation:
We know that the other two bills are based of of a constant value for fives. Therefore, the fives can be x. There are 3 less tens than fives, so the number of tens equals x-3. We double the number of fives to get the number of ones, so the number of ones equals 2 times x. When we add all 3 of those together, we get our total number of 41. If you want to solve, you have to solve for x, then you can plug it back into the formula. I hope this helps!
Let f(x) = V6x and g(x) = x + 4. What's
the smallest number that is in the domain of
Enter the correct answer.
What is (f + g)(x)?
f(x) = -2x
g(x) = 5x + 6
What is this written as a polynomial or a rational function
Answer:
(f + g)(x) = 3x + 6
Step-by-step explanation:
Brainliest?
Simplify the following:
1.4 : 0.21
best answer gets brainliest.
Answer:
1.4/0.21= 140/21= 20/3
Step-by-step explanation:
Answer:
20:3
Step-by-step explanation:
decimal points can't be ratios so we have to convert to whole numbers:
so 1.4:0.21 becomes:
140:21
after simplifying fully( i divided both sides by 7) we come to 20:3.
The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score.
a. compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three scores clustered around the mean in the center of the distribution, and two extreme values. Scores: 0 6 7 8 14
b. now break up the cluster in the center of the distribution by moving two of the central scores out of the extremes. Once again compute the range and the standard deviation New Scores: 0 0 7 14 14
c. According to the range, how do the two distributions compare in variability? How do they compare according to the standard deviation?
For a Standard deviation is s ≈ 5.83 and for b Standard deviation iss ≈ 7.14.
What is standard deviation?
Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data by measuring how far the data points are from the mean.
a. Using the definition of range as the difference between the highest and lowest scores, the range for the sample is:
Range = highest score - lowest score
Range = 14 - 0
Range = 14
mean:
Mean = (0 + 6 + 7 + 8 + 14) / 5
Mean = 7
standard deviation formula:
s = √[Σ(xi - x)² / (n - 1)]
where xi is each score, x is the mean, and n is the sample size.
Using this formula, we can compute the standard deviation:
s = √[ ((0-7)² + (6-7)² + (7-7)² + (8-7)² + (14-7)²) / (5-1) ]
s =√ [ 136 / 4 ]
s = √ (34)
s ≈ 5.83
b. After moving two of the central scores out to the extremes, the new scores are:
The range is still the same, 14.
The new mean is:
Mean = (0 + 0 + 7 + 14 + 14) / 5
Mean = 7
The new standard deviation is:
s = √ [Σ(xi - x)² / (n - 1)]
s = √ [ ((0-7)² + (0-7)² + (7-7)² + (14-7)²+ (14-7)²) / (5-1) ]
s = √ [ 204 / 4 ]
s = √ (51)
s ≈ 7.14
c. According to the range, both distributions have the same variability, since the range is the same in both cases. However, according to the standard deviation, the second distribution (0 0 7 14 14) has greater variability, since the standard deviation is larger than that of the first distribution. The standard deviation takes into account every score in the distribution, not just the extremes, and therefore provides a more complete measure of variability.
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a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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Your mom needs 2 potatoes, 1 pounds of asparagus, and 2 pounds of fish. How
much did your mom spend on her grocery shipping, not including tax? Answer in hundredth
I need help ASAP it’s due in 4 hours! Thank you!
Answer:
$13.42
Step-by-step explanation:
Two potatoes cost $2.50
$3.75 ÷ 3 = $1.25 $1.25 x 2 = $2.50
1 lb of asparagus is $2.48
$4.95 ÷ 2 = $2.48
2 lbs of fish cost $8.44
$12.65 ÷ 3 = $4.22 $4.22 x 2 = $8.44
$2.5 + $2.48 + $8.44 = $13.42
Write a recursive formula for
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?