Determine if the lines are distinct parallel lines, skew, or the same line. r1​(t)=⟨3t+5,−3t−5,2t−2⟩r2​(t)=⟨11−6t,6t−11,2−4t⟩​ Choose the correct answer. The lines are the same line. The lines are skew. The lines are parallel

Answer:

Step-by-step explanation:

So in our case, let assume 'x' as a common factor.

Thus,

4x + 5x + 7x = 5600;

16x = 5600;

x = 5600/16 = 350.

So,

4x= 350*4 =1400;

5x= 350*5 = 1750; &

7x= 350*7 = 2450.

Your answer is, 5600 = 1400+1750+2450 which is in ratio of 4:5:7.

Answer:

Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.

Step-by-step explanation:

$10 = 2 * x

$10/2 = $5

x = $5

Answer:

nhyh

Step-by-step explanation:

h

mhhhygvvvx VC ghv h h h b

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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Answer:

B: 2x= -14

Step-by-step explanation:

180° is max for a triangle so subtract the given angle. 180- 84 is 96. the equation you get left with is 96= x + 59 + x + 51, which can become 2x + 110=96. Subtract 110 from 96 to get 2x by itself, which is now -14.

ANSWER

B) 11.62

EXPLANATION

This is a right triangle, so to find x we can use trigonometric ratios. In this case we have the measure of one of the angles, the length of its adjacent side and we want to find the length of its opposite side, x. Therefore we have to use the tangent of the angle:

Solving for x:

The coefficients in a balanced equation compare quantities of two substances by the ratio of the substances' coefficients equals the ratio of their number of moles.

A mole is defined as 6.02214076 × 10²³ of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

In many chemical situations, mole ratios are employed as conversion factors between products and reactants.

In a balanced chemical equation, the coefficients in front of the formulae can be used to determine the mole ratio.

Complete question:

How do the coefficients in a balanced equation compare quantities of two substances?

A. The ratio of the coefficients equals the ratio of the masses of the

substances

B. The sum of the coefficients of the reactants equals the sum of the

products

C. The ratio of the substances' coefficients equals the ratio of their

number of moles.

D. The coefficient of the reactant tells how many product molecules

will form.

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A mole is defined as 6.02214076 × 10²³ of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

In many chemical situations, mole ratios are employed as conversion factors between products and reactants.

Complete question:

How do the coefficients in a balanced equation compare quantities of two substances?

A. The ratio of the coefficients equals the ratio of the masses of the

substances

B. The sum of the coefficients of the reactants equals the sum of the

products

C. The ratio of the substances' coefficients equals the ratio of their

number of moles.

D. The coefficient of the reactant tells how many product molecules

will form.

The maximum height of the rocket is 78.4m

Given the function that represents the height of a function expressed as:

h(t) = -4.9t² +9.8t + 73.5.

The rocket will reach its maximum height at the point where h'(t) = 0

h'(t) = -9.8t +9.8

Equate to zero

0 = -9.8t + 9.8

9.8t = 9.8

t = 1

Substitute

h(1) = -4.9(1)²+9.8(1) + 73.5

h(1) = 4.9 + 73.5

h(1) = 78.4m

Hence the maximum height of the rocket is 78.4m

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The value of angle x in decimal place is 57.8°.

A decimal number's digits are assigned a place value according to a chart that displays decimal place values. A digit in a number's place value is, as far as we are aware, its numerical value. The correct placement of each digit in a decimal number is therefore determined using decimal place value charts, just like with other place value diagrams. In this chart, the place values of the digits before and after the decimal point are shown.

Draw the altitude of the triangle

We know that

sinθ =  Opposite / Hypotenuse

sin 38° = y/11

y = 11 sin 38°

y = 6.77

sin(x) = y/8

sin(x) = 6.77/8

sin(x) = 0.84625

sin(x) = 57.8°

Thus, the value of angle x in decimal place is 57.8°.

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Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

The average gradient of the stream is 0.3 meters/kilometer (m/km).

To calculate this, we need to determine the change in elevation over the distance of 200 kilometers. Therefore, the difference in elevation is 600 meters (the starting elevation) minus the elevation at the ocean (assumed to be 0 meters). Dividing this difference (600 meters) by the distance (200 kilometers) gives us the average gradient: 0.3 m/km.

It is important to remember that this is only an average, and the gradient of a stream is not constant throughout its course. Factors such as terrain, obstacles, and rainfall will all affect the gradient of the stream, making it higher or lower at certain points. It is also important to note that a negative gradient means the elevation of the stream is decreasing, while a positive gradient indicates that the elevation is increasing.

In conclusion, the average gradient of the stream beginning at 600 meters and flowing 200 kilometers to the ocean is 0.3 m/km.

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a 16-ft. ladder is leaning against a house. the ladder angle of elevation is 470, the distance between the wall and the foot of the ladder is 10.991ft.

Given ,

Length of the ladder is 16ft

Angle of elevation is 47 degree

To calculate the distance between the wall and the foot of the ladder

Cos thete = BC/AC

Cos 47 deg = BC / 16

16*0.6819 = BC

BC = 10.911 ft

Therefore , the distance between the wall and the foot of the ladder is 10.991ft

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Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

Answer:

cge

Step-by-step explanation:

Answer:

angle XYW = -20x + 155

Step-by-step explanation:

angle XYZ = 150

angle WYZ = 20x - 5

angle XYW = y

angle XYZ = 20x - 5 + y

150 = 20x - 5 + y

150 + 5 = 20x + y

y = -20x + 155

So angle XYW = -20x + 155

Answer:

y=-x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(-5-1)/(7-1)=-6/6=-1

y-y1=m(x-x1)

y-1=-1(x-1)

y-1=-x+1

y=-x+1+1

y=-x+2

Answer:

y=-1x+2

Step-by-step explanation:

m=  

-5 - 1 over 7 - 1

(1,1). y=mx+b or 1=-1 × 1+b, or solving for b: b=1-(-1)(1). b=2.

(7,-5). y=mx+b or -5=-1 × 7+b, or solving for b: b=-5-(-1)(7). b=

For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The demand and supply equations for overhead projectors in a certain market.

In these equations, p represents price, D represents demand, and S represents supply.

\(\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131\)

For the equilibrium, the value of supply and the value of demand will be equal. Then we have

\(\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}\)

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Answer: B. 15

Step-by-step explanation: edge 2022 i got it right

There are 5040 different permutations of the set {a, b, c, d, e, f, g}.

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

The set {a, b, c, d, e, f, g} has seven elements, so there are 7! (7 factorial) permutations possible. The factorial of a number is the product of all the numbers up to and including that number. In this case,

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.

This means that there are 5040 different permutations of the set

{a, b, c, d, e, f, g}.

A permutation is defined as an arrangement of elements in a specific order. In this case, the elements are {a, b, c, d, e, f, g} and the order can be changed in any way, as long as all elements are included. For example, one possible permutation is bfgdeca.

This is one of the 5040 possible permutations of the set.

As the set contains seven elements, there are 7! (7 factorial) possible permutations. This means that there are 5040 different permutations of the set {a, b, c, d, e, f, g}.

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Answer:

C

Step-by-step explanation:

not parallel mean that not equal slope

so it will be C

hope this helps

Answer:

C.

Step-by-step explanation:

When written in y=mx+b form, C is y=1/3x+10/3.

Parallel lines have the same slope

The factored form of the equation are as follows;

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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Answer:

C. a^2 + b^2 = c^2

Step-by-step explanation:

Answer:

The operations that are defined in the given options are A + B, AB, and tr(A). A + B: This operation is defined because adding two matrices is valid when they have the same dimensions.

a) 2A: This operation is defined because multiplying a matrix by a scalar is a valid operation. The resulting matrix will have the same dimensions as the original matrix A.

b) A + B: This operation is defined because adding two matrices is valid when they have the same dimensions. In this case, matrix A is a 3 x 3 matrix and matrix B is a 5 x 3 matrix, so the operation is defined. The resulting matrix will have the same dimensions as the matrices being added.

c) AB: This operation is not defined because the number of columns in matrix A (3) is not equal to the number of rows in matrix B (5). For matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

d) BA: This operation is not defined because, similar to AB, the number of columns in matrix B (3) is not equal to the number of rows in matrix A (3).

e) det(A): This operation is defined because the determinant of a square matrix is a valid operation. Since matrix A is a 3 x 3 matrix, the operation is defined.

f) det(B): This operation is not defined because matrix B is not a square matrix. The determinant is only defined for square matrices.

g) tr(A): This operation is defined because the trace of a square matrix is a valid operation. Since matrix A is a 3 x 3 matrix, the operation is defined.

h) tr(B): This operation is not defined because matrix B is not a square matrix. The trace is only defined for square matrices.

i) A: This option is not clear. If it is asking about the existence of matrix A, then it is already given in the question that A is a 3 x 3 matrix.

j) BT: This operation is defined because taking the transpose of a matrix is a valid operation. The resulting matrix will have the number of rows equal to the number of columns of the original matrix, and the number of columns equal to the number of rows of the original matrix. In this case, the transpose of matrix B will be a 3 x 5 matrix.

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Answer:

False

Step-by-step explanation:

To find the area of the square, you multiply length by length, adding the length of all 4 sides would be the perimeter

Answer:

true

This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.

However, the more people there are to do the work, the quicker it will get done.

There is a constant to be found:

\(x \times y = k\)

For 30 people:

\(30 \times y = k\)

\(30 \times y = 135\)

\(y = \frac{135}{30} = 4.5\)

Answer:

Step-by-step explanation:

Let the initial amount of yellow paint be x

Then we have x increased by 30% equals 3.9 liters: