The parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3) are x=2+5t, y=4+5t and z=2+3t.
What is parametric equation?
The same values may be expressed by a variety of alternative parameterizations because parametric representations are typically non-unique (see the "Examples in two dimensions" section below).
In addition to curves and surfaces, higher dimensional algebraic varieties can also be described by parametric equations; in this case, the number of parameters is equal to the dimension of the manifold or variety, and the number of equations is equal to the dimension of the space in which the manifold or variety is taken into account (for curves the dimension is one and one parameter is used, for surfaces dimension two and two parameters, etc.).
In kinematics, where the motion of an object is represented by equations using time as the parameter, parametric equations are frequently utilized.
Calculations:
Parametric equation of line PQ is
x=2+5t,y=4+5t and z=2+3t
parametric equation of line AB is
x=x1+tx2, y=y1+ty2 and z=z1+tz2
Here as we have P(2,4,2) and Q(5,5,3)as two points,
parametric equation of line
PQ is x=2+5t, y=4+5t and z=2+3t
i.e.
x=2+5t, y=4+5t and z=2+3t
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helppp me solveeeeeee this ty 50+pnts
Answer:
1. 47
2. 4
Step-by-step explanation:
1. 4a + 5b
4(8) + 5 (3)
32+ 15
=47
2. 3a/2b
3(8)/2(3)
24/6
=4
Solve for the value of r.
52°
(4r-6)⁰
The value of r is 11°
How to determine the valueFrom the information given, we have that;
52°(4r-6)⁰Both angles are complementary angles.
It is important to note that complementary angles sum up to 90 degrees
Then, we have;
52 ° + 4r - 6° = 90°
collect like terms
4r + 46° = 90 °
4r = 90 - 46
4r = 44
Make 'r' the subject of formula
Divide both sides by 4
4r/4 = 44/4
r = 11°
Thus, the value of r is 11°
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I REALLY NEED HELP ASAP. Yari says that the product 230×104 has four zeroes. Is she correct? In the box below, explain your answer including how patterns for multiplying by powers of 10 help determine the final answer. Show your work to support your conclusion.
I need help please. I'll mark brainliest.
Yari says that the product 230×10⁴ has four zeroes. She is incorrect.
How to calculate the value?It should be noted that from the information, Yari says that the product 230×10⁴ has four zeroes.
This will be confirmed below:
= 230 × 10⁴
= 230 × 10000
= 2300000
Therefore, the product has 5 zeros. She is incorrect.
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Determining a Segment Length
how do i solve 4x-1
Solve the formula for the indicated variable
A=LWH for H
H=
Answer:
Step-by-step explanation:
[tex]A=LWH\\[/tex]
Divide both parts of the equation by LW:
[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]
Help
me solve this pls
The constant of proportionality is 28.2.
How to calculate the constant of proportionality?It should be noted that the miles driven and the number of gallons used has been given.
Therefore, the constant of proportionality will be:
= Miles driven / Gallons used
= 930.6 / 33
= 28.2
Therefore, the constant of proportionality is 28.2.
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tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certian day, the total revenue at the zoo was $5300. for every 3 teenagers, 8 children went to the zoo. how many teenagers went to the zoo? a. 100 teenagers c. 300 teenagers b. 200 teenagers d. 400 teenagers please select the best answer from the choices provided a b c d
300 teenagers went to the zoo.
How to find the how many teenagers went to the zoo?given that
Tickets to the zoo cost $4 for children.
Tickets to the zoo cost $5 for teenagers.
Tickets to the zoo cost $6 for adults.
1200 people come to the zoo every day.
on a certian day, the total revenue at the zoo was $5300.
Let the number of adults be x.
The number of teenagers be y.
and the number of children that went to the zoo 8y/3.
Consider the question
1200 people come to the zoo every day.
x + y + 8y/3 = 1200
now, take L.C.M between y and 8y/3
[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]
now multiply with 3 to this equation.
3x + 11y = 3600 .......................(1)
tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.
according to the question
6x + 5y + 32y/3 = 5300
Now take the L.C.M between 5y and 32y/3
6x + 47y/3 = 5300
now multiply with 3 to this equation.
18x + 47y = 15900 ...................(2)
now, multiply equation (1) with 6
18x + 66y = 21600 .....................(3)
now, subtract equation (1) in equation (2)
(18x - 18x) + (66y - 47y) = (21600 - 15900)
19y = 5700
y = 5700/19
y = 300
Hence, the 300 teenagers went to the zoo.
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Describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.
a. pyramid
The solid that results from increasing the number of sides infinitely is; Close to a Cone
How to describe the nature of a solid object?
We want to describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.
Now, given a pyramid, when its base is a regular polygon whose number of sides increases infinitely, the base gets closer and closer to the shape of a circle, and therefore the solid will be close to a cone.
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Fatoumata has a collection of 280 coins. How many coins represent 20% of her
collection?
Divide/scale down to solve for the missing percent.
The coins that represent the 20 5 of her coins that is 280 are 56 coins.
We know that:
Fatoumata has a collection of 280 coins.
Now, we need to tell how many coins will be its 20 %.
For this we will calculate 20 percent of 280
So, number of coins = N will be:
N = 20 % of 280
N = 20 % × 280
N = 20 / 100 × 280
N = 2 × 28
N = 56 coins
Therefore, we get that, the coins that represent the 20 5 of her coins that is 280 are 56 coins.
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a game in which one person tries to trap another in a mistake, lie, or some other type of negative situation is known as a game
Answer:
"Wooden leg" is the correct answer.
During 1 hour of television there are 12 commercials. If you watch 3 hours of television how many commercials will there be (please explain in numbers
Answer: 36
Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36 I hope that helps
50 POINTS!
Solve for x (and you only have to do odd numbers if you want):
1. 3(x+2)=21
2. 5(2x-1)=-25
3. -4(3x-5)=-16
4. -2(4-x)-5=11
5. 3(-6x+7)+4x=-7
6. 2(3x-4)+5(2x+3)=-9
7. 5(x+9)=65
8. 1/2(x-3)=-4
9. 5x+2(x-6)+7=2
10. 9(x+3)-14x-15=52
1.x=5
2.x=-2
3.x=3
4.x=12
5.x=2
6.x=-1
7.x=4
8.x=-5
9.x=1
10.x=-8
Pls correct me on any of these if I made a mistake
8) the lion at the zoo became ill and lost 6 pounds every week for 3 weeks. in the fourth week, she began to feel better and gained 5 pounds. write and find the value of an expression for the change in the lion's weight.
Answer:
w - 13.
Step-by-step explanation:
Change in weight
= w - 3(6) + 5 where w is her original weight.
= w - 18 + 5
= w - 13.
1. Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
(b) Ralf gives $2 to Susie.
Calculate the new ratio Ralf's money: Susie's money.
Give your answer in its simplest form
Ralf receives total amount of 38$.
Susie receives total amount of 19$.
What do you mean by amount?Raff gets 2x
Suzie gets x
2x + x = 57 dollars
3x = 57 dollars
x = 19 dollars
2x = 38 dollars
Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.
To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.
To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.
Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.
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In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
Can I see the diagram?
Step-by-step explanation:
find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise
Three variable p, q and r that is true when at most one of the three variables is true.
How do you identify a proposition?
Propositions are the name for certain types of phrases. A proposition is said to have a "true" truth value if it is true; a "false" truth value if it is untrue. Propositions include statements like "Grass is green" and "2 + 5 = 5". The first claim is true, whereas the second is wrong in terms of truth value.Atmost means maximum.
We have three variables: p,q and r. Maximum one of the three variable is true. However we dont know which variable is true.
Case 1: No variable is true : ¬p ∧¬q∧¬r
Case 2 : p variable is true: p ∧¬q∧¬r
Case 3: q variable is true : ¬p ∧q∧¬r
Case 4 : r variable is true : ¬p ∧¬q∧r
One of the 4 cases has to be true . Thus Case1 or Case 2 or Case3 or Case 4 is true. So we need to take comjuction of the propsitions in each case.
(¬p ∧¬q∧¬r) v (p ∧¬q∧¬r) v (¬p ∧q∧¬r) v (¬p ∧¬q∧r)
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Find the range of the relation.
A. {-6, -5, -3, -1, 0, 3, 6}
B. {-6, 6}
C. {-6, -3, 0, 3, 6}
D. {-5, -3, -1, 1, 3}
The range of the given relation in the table is option C {-6,-3,0,3,6}
Here first column x represents the domain of the function
Domain is the set of all possible input for the function.
Second column y represents the range of the function
Range is the set of all possible output for the function.
Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}
The set of all possible outcomes of the functions are {-6,-3,0,3,6}
Then the range of the relation in the table = {-6,-3,0,3,6}
Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}
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b is less than or equal to 6.
options are attached
Answer:
b ≤ 6
This inequality matches the statement, "b is less than or equal to 6."
This is because the sign < tell us that b is going to be less 6, and the line _ tells us that the solution can also be equal to 6.
. In a triangle, one angle is 5° more than the
measure of the second angle. The third
angle is 10° more than the measure of the
second angle. Find the measure of each
angle angle
The angles are 60°, 55°, and 65°.
Let the triangle be named ΔABC.Let the angle ∠A be "x".Then, the angle ∠B is equal to ∠A + 5°.The angle ∠B is equal to x + 5°.The angle ∠C is equal to ∠A + 10°.The angle ∠C is equal to x + 10°.The angle ∠C is equal to x + 10°.Using the angle sum property of a triangle, we know that the sum of all the angles in a triangle is equal to 180°.∠A + ∠B + ∠C = 180°(x) + (x + 5°) + (x + 10°) = 180°3x + 15° = 180°3x = 165°x = 55°The angle ∠A is equal to 55°.The angle ∠B is equal to 55° + 5° = 60°.The angle ∠C is equal to 55° + 10° = 65°.To learn more about angles, visit :
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how many solutions does the equation 3x-1=3x+1 have
Answer:
0
Step-by-step explanation:
[tex]3x-1=3x+1\\=3x-1-3x=3x+1-3x\\-1=1[/tex]
Due to the fact that the sides are unbalanced, the equation has no true solution.
Let g(x)=-1/2x+ 6 and h (x) =g(x)-3 which statement descibes the graph of h(x)?
The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".
In the question, are given two graphs g(x) = - (1/2)x + 6, and h(x) = g(x) - 3.
We are asked for the statement that best describes h(x).
Now, h(x) = g(x) - 3, can be seen as the translation of g(x).
For any graph m(x), n(x) is its translation if n(x) = m(x + p) + q.
The translation is vertical is q ≠ 0, and horizontal when p ≠ 0. Also,
if p > 0, then the horizontal translation is p units right,if p < 0, then the horizonal translation is |p| units left,if q > 0, then the vertical translation is q units up, andif q < 0, then the vertical translation is |q| units down.For, h(x) = g(x) - 3, when we compare it with n(x) = m(x + p) + q, we have p = 0, and q = -3.
Since, q ≠ 0, we have vertical translation, and since q < 0, the translation is |q| units down.
Thus, The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".
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The provided question is incomplete. The complete question is:
"Let g(x) = - (1/2)x + 6 and h(x) = g(x) - 3. Which statement describes the graph of h (x)?
The graph of h(x) is a vertical translation of the graph of g(x) up 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) right 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) left 3 units.The graph of h(x) is a vertical translation of the graph of g(x) down 3 units."this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural whole integer rational irrational −25 natural – negative 25 whole – negative 25 integer – negative 25 rational – negative 25 irrational – negative 25
Classify the number -25.
Natural, Whole, Integer, Rational, Irrational.
25 is a rational number. This number is a whole that may be expressed as the fraction 25/1.
What is meant by negative number?
This wouldn't be a natural number because -25 is a negative number.
Since -25 isn't a positive number, this wouldn't be a whole number.
the whole number 85 is -85, which is a negative number. -85 is consequently an integer. Negative numbers are rational numbers.
square integers are frequently irrational, -25 is a square root.
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Explain how you can use a straightedge and a compass to construct an angle that is both congruent.
The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.
What is an angle?
A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex, right, etc.
Explanation of constructing an angle using a scale and compass that is both congruent
Start drawing a line with the scale
Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O
Mark an arc across the sides of the corner using compass
Name the points as A and B, where the arc intersects and extend that arc beyond B
Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.
Forthwith, wwe have two congruent components, AB = BC.
As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.
Hence, this is the way of constructing congruent angles using a scale and a compass.
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The diorama of a town uses the scale 5 inches : 10 miles. If the diorama measures approximately 60 inches across, what is the approximate measure of town?
Answer: 120 miles
Step-by-step explanation:
We will set up a proportion to solve.
Set up a proportion:
[tex]\displaystyle \frac{5\text{ inches}}{10\text{ miles}} =\frac{60\text{ inches}}{x\text{ miles}}[/tex]
Cross-multiply:
5 * x = 60 * 10
Multiply:
5x = 600
Divide both sides by 5:
x = 120 miles
Joe's employer will reimburse him $0.17 per mile driven. If Joe drives 185.74 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.
how do you not know how to do this
0.17 times 185 = $136.9 or $137
(0.74 is not 1 mile)
Answer:
$31.58
Step-by-step explanation:
Reimburse for 1 mile,
→ $0.17
Then reimbursement for 185.74 miles,
→ 185.74 × 0.17
→ 31.5758
→ $31.58
Hence, the answer is $31.58.
Tell me what order these go in
Answer:
I suppose is division multiplication subtraction then addition
Step-by-step explanation:
if a measure is reliable, it: please choose the correct answer from the following choices, and then select the submit answer button. produces a consistent result if the same thing is measured twice. measures what it was intended to measure. predicts actual behavior. co-varies with the independent variable.
A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.
What do we mean by reliable measure?The consistency with which a method attempts to measure something is referred to as its reliability. The measurement is considered reliable if the same result can be consistently obtained by using the same methods under the same conditions. The stability or consistency of test scores is measured by reliability.It can also be defined as the ability of a test or research findings to be repeated. A medical thermometer, for example, is a dependable tool that consistently measures the correct temperature. When the same thing is measured twice, a reliable measure produces the same result.Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.
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The correct question is given below:
A reliable measure is one that:
A) produces a consistent result if the same thing is measured twice.
B) measures what it was intended to measure.
C) predicts actual behavior.
D) co-varies with the independent variable.
Write this number in words: 1.001510512 (with decimals)
The decimal 1.001510512 when written in words is;
One and one million five hundred ten thousand five hundred and twelve hundred millionths
Write the decimal in words?
We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;
20.009 in words is; Twenty and nine thousandths
8.406 in words is; Eight and four hundred six thousandths
26.0502 in words is; Twenty-six and five hundred two ten thousandths
6.5904 in words is; Six and five thousand nine hundred four ten thousandths
63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths
Thus, we can conclude that the decimal 1.001510512 when written in words is;
One and one million, five hundred ten thousand five hundred and twelve hundred millionths
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HELPPP ASAP
What is the product of the solutions to the equation?
(2x +4) = 14
A 45
B 81
C 0
D -81
E -45
Answer:
no answer
Perhaps: E -45
Step-by-step explanation:
(2x + 4) = 14
2x + 4 = 14
2x = 10
x = 5
This equation has only 1 solution.
There cannot be the product of the "solutions" when there is only 1 solution.
Perhaps you meant this (absolute value, not parentheses):
What is the product of the solutions to the equation?
|2x +4| = 14
A 45
B 81
C 0
D -81
E -45
|2x + 4| = 14
2x + 4 = 14 or 2x + 4 = -14
2x = 10 or 2x = -18
x = 5 or x = -9
The product of 5 and -9 = -45
Answer: E -45
Cookies are sold in the lunchroom for $2. Ana wants to buy cookies for a group of her friends. If she has $20, write an inequality to show the number of cookies cc she can buy. Use the variable c
As a inequality
Answer:
2c < 20
Step-by-step explanation:
$2 is the price per cookie so 2c is per every cookie, you multiply by 2 to get the price.
Ana only has $20 so the amount of money she spends has to be less then 20 so the inequality would be 2c < 20