Which expression represents the same relationships shown on the graph? y = x - 6 y = x + 6 y = 6x y= - 6x

Coordinates is computed that:

a = 0

b = -0.8

c = 0

d = 0

e = 0

Calculating the missing coordinate in such a way that the three vectors for R3 are orthogonal:

[tex]\left[\begin{array}{ccc}0.6&a&b\\0.8&c&0.6\\1&-1&e\end{array}\right][/tex]

Any two vectors' dot product is zero and their norm is one on an orthogonal basis.

⇒ (-0.6, a, b)  (0.8, b, c, -0.6)

⇒ -0.48 + ac - 0.6b = 0  →  (1)

Similarly,

(0.8, c, -0.6) (d, -1, e)

⇒ 0.8d - c - 0.6c = 0  →  (2)

Similarly,

(-0,6, a, b) (d, -1, e)

⇒ -0.6d - a + be = 0  →  (3)

First Norm:

(0.6)² + a² + b² = 1

⇒ 0.36 + a² + b² = 1

⇒ a² + b² = 0.64  →  (4)

Second Norm:

(0.8)² + c² + (-0.6)² = 1

⇒ 0.64 + c² + 0.36 = 1

⇒ c² + 1 = 1

⇒ c = 0

Now from equation (1), we can compute that:

(-0.48 + a) * (0 - 0.6b) = 0

⇒ -0.48 - 0.6b = 0

⇒ - (0.48 + 0.6b) = 0

⇒ 0.6b = -0.48

⇒ b = -0.48 / 0.6 = -0.8

∴ b = -0.8

From equation (4) we can compute that:

a² + b² = 0.64

⇒ a² + (-0.8)² = 0.64

⇒ a² = 0

∴ a = 0

Third Norm:

d² + 1 + e² = 1

d² + e² = 0  →  (5)

From equation (3) we can infer that:

-0.6d - 0 + (-0.8e) = 0

⇒ -0.6d = 0.8e

⇒ d = -0.8e / 0.6

∴ e = -0.75d

Now we'll put this value in equation (5):

d² + (-0.75d)² = 0

⇒ d² + 0.5625d² = 0

⇒ d² (1 + 0.5625) = 0

⇒ d = 0

∴ e = 0

Therefore,

[tex]\left[\begin{array}{ccc}-0.6&0&-0.8\\0.8&0&-0.6\\0&-1&0\end{array}\right][/tex]

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We can compute the integral of the velocity function's absolute value. In other words, the area under the velocity function's curve's absolute value equals the distance a particle travels.

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Answer:[tex]\sqrt{61}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]\sqrt{5^{2} +6^{2} } =\sqrt{25+36}=\sqrt{61}[/tex]

The distance between A and B = [tex]\sqrt{61}[/tex]

The function f(x, y) = sqrt(4 - 4x^2 - y^2) is defined over a disk of radius 2 centered at the origin in the xy-plane. The z-value of the function is always non-negative and reaches its maximum value of 2 at the origin (0,0).

This can be confirmed by noting that the partial derivatives of the function at the origin are both negative, indicating that it is a maximum. The traces of the function in the xy, yz, and xz planes are circles with radius 2 centered at the origin, with the range of the function being limited to the upper semi-circle in each of these planes.

When these traces are combined with the domain of the function, we get the graph of a paraboloid of revolution that opens downward, with a saddle point at the origin (0,0) and a maximum value of 2.

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Answer:

Step-by-step explanation:

Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.This is referred to as a baryc enter of a friangle.And has the quality Np= 2PQ, therefore we can obtain it.   When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait. 

The drawbacks of early forms of money include their propensity to be easily divided and to crumble.

The unit technique is a method of problem-solving where you first calculate the value of a specific unit, then expand that value to get the answer. Simply expressed, a minimum unit value is extracted from a specified multiple using the unit method.  The method used to accomplish this might be standardized. a solitary nation. anything has a distinguishing component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Logical Analysis, Mathematics of Matrix or Operators)

given

then you multiply and cross.

so,18x6= 4x

4x/4=108/4

x=27

The drawbacks of early forms of money include their propensity to be easily divided and to crumble.

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Answer:

Step-by-step explanation:

so you have 1/2 times 3 = 1.5

Answer:

210

Step-by-step explanation:

Let number be x, 63 is 30% of x would be:

[tex] \displaystyle{63 = \dfrac{30}{100}x}[/tex]

**30% = 30/100**

Solve the equation for x, multiply both sides by 100 to get rid of the denominator:

[tex] \displaystyle{63 \times 100= \dfrac{30}{100}x \times 100} \\ \\ \displaystyle{6300 = 30x}[/tex]

Divide both sides by 30:

[tex]\displaystyle{ \dfrac{6300 }{30}= \dfrac{30x}{30}} \\ \\ \displaystyle{ 210= x}[/tex]

Therefore, that number is 210. Hence, 63 is 30% of 210

The value of x is 1 and the value of y is 3, this can be obtained using the substitution method.

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

The given equations are:

x + 2y = 7 and 3x -2y = -3

In the given equation x + 2y = 7 isolate the value of x:

x = 7 - 2y

Substitute the value of x in 3x -2y = -3:

3( 7 - 2y) - 2y = -3

21 - 6y - 2y = -3

21 + 3 = 8y

24 = 8y

y = 3

Substitute the value of y in equation to find the value of x:

x + 2(3) = 7

x + 6 = 7

x = 1

Hence, the value of x is 1 and the value of y is 3.

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The intervals in the function increase will be (1, 2). Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is shown on the graph. Then we have

In the interval (−∞, 0), the function is decreasing function.

In the interval (0, 1), the function is decreasing function.

And in the interval (1, 2), the function is increasing function.

Similarly in the interval (2, ∞), the function is decreasing function.

The intervals in the function increase will be (1, 2). Then the correct option is A.

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Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

To fill up the water tower, the liters of water needed, based on the volume of the water tower, is 982, 000 liters

To find the amount of water it would take to fill up the water tower, you need to convert the water tower volume from cubic meters to liters.

As per the conversion table, the cubic meters can be converted as such:

1 cubic meter = 1, 000 liters.

This means that a volume of 982 m ³ will be:

= 982 x 1, 000

= 982, 000 liters

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Given that tan alpha = -24/10 and pi < alpha < 2pi, we can use the trigonometric identities to find the value of sin alpha.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

Since tan alpha = -24/10, we know that sin alpha / cos alpha = -24/10

We can find the value of cos alpha by using the fact that pi < alpha < 2pi, so 0 < alpha - pi < pi.

Therefore, cos alpha = cos (alpha - pi) = -cos (alpha - pi)

We can substitute this into the equation above:

sin alpha / (-cos (alpha - pi)) = -24/10

We can then solve for sin alpha:

sin alpha = (-24/10) * (-cos (alpha - pi))

We can simplify the expression, but we cannot determine the exact value of sin alpha without knowing the value of alpha.

Note that tangent is negative in the second and third quadrant, so the angle is in the third quadrant.

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Answer:

The completed table is given below and the equation for the given situation is 15=4a+0.50s.

Given that, it costs $0.50 to download an individual song and $4 to download an album.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Jada has $15 to spend downloading music.

Let s be number of songs and a be number of albums

So an equation for the given situation is 15=4a+0.50s

From table, in row 1

Given number of songs is 6

15=4a+0.50(6)

⇒ 15=4a+3

⇒ 4a=12

⇒ a=3

From table, in row 2

Given number of albums is 1

15=4(1)+0.50s

⇒ 0.50s=11

⇒ s=11/0.50

⇒ s=22

From table, in row 3

Given number of albums is 30

15=4a+0.50(30)

⇒ 15-15=4a

⇒ a=0

Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.

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Step-by-step explanation:

Answer:

Dz = (14 - 1) 30

Step-by-step explanation:

We know

Dz represents distance travel

She starts with 14 gallons of gas

1 gallon of gas = 30 miles

So, our equation will be Dz = (14 - 1) 30

The solution for the given system of equations is (-2, -2).

What is addition method?

Using the Addition Method to Solve Systems of Equations in Two Variables. The addition method, also known as the elimination method, is a third strategy for resolving linear equation systems. With this approach, we add two terms that share the same variable but have opposing coefficients, resulting in a sum of zero.

Given:

The system of equations,

3x + 7y = -20          ..(1)

-3x + 6y = -6            ..(2)

We have to solve this system of equations using addition method.

Adding equation (1) and (2)

      3x + 7y = -20

 +  -3x + 6y = -6

__________________

       0 + 13y = -26

13y = -26

  y = -2

Plug y = 2 in equation (1), we get

3x + 7(-2) = -20

3x - 14 = -20

3x = -20 + 14

3x = -6

x = -2

Hence, the solution for the given system of equations is (-2, -2).

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Answer:

120

Step-by-step explanation:

Answer:

Right

Step-by-step explanation:

because the biggest angle of the triangle is equal 90

Answer:

C. Right angled triangle

Answer: x ∈ {-0.0107639, 10.3225694}

Answer:

The correct answer is 8 miles

Step-by-step explanation:

. If Yasmin runs at a pace of 7 miles per hour ... to run will always reduce down to the same fraction on a straight line

The perimeter of trapezoid JKLM is

9 + √(2) + √(5) units.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

First, we find the lengths of each side of the trapezoid.

JK = distance between points J and K

JK = √((4 - 4)² + (-4 - (-7))²) = √(9) = 3

LM = distance between points L and M

LM = √((3 - 3)² + (-8 - (-2))²) = √(36) = 6

KL = distance between points K and L

KL = √((3 - 4)² + (-2 - (-4))²) = √(5)

JM = distance between points J and M

JM = √((3 - 4)² + (-8 - (-7))²) = √(2)

Now,

We can add up the lengths of each side to find the perimeter.

Perimeter = JK + KL + LM + JM

Perimeter = 3 + √(5) + 6 + √(2)

Perimeter = 9 + √(2) + √(5)

Therefore,

The perimeter of trapezoid JKLM is

9 + √(2) + √(5) units.

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The perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.

We are given the following information in the question:

Width of rectangle=

[tex]$1 \frac{3}{4}$[/tex] feet

Length of rectangle =

[tex]$2 \frac{1}{3}$[/tex]feet

Formula:

Perimeter of rectangle =

[tex]2 \times($ Length $+$ Width)[/tex]

Putting the values:

[tex]& 2 \times\left(1 \frac{3}{4}+2 \frac{1}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{7}{4}+\frac{7}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{21+28}{12}\right)[/tex]

[tex]& =2 \times \frac{49}{12} \\[/tex]

[tex]& =\frac{49}{6} \\[/tex]

[tex]& =8 \frac{1}{6}[/tex]

Hence, the perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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The perimeter of given rectangle is  feet.

What is Perimeter of rectangle?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter.

There are numerous practical uses for calculating the perimeter. The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter.

We are given the following information in the question:

Width of rectangle=

feet

Length of rectangle =

feet

Formula:

Perimeter of rectangle =

Putting the values:

Hence, the perimeter of given rectangle is  feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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The mean of y-values is referred to as [tex]\bar{y}[/tex]. So, option b is the correct choice.

A variable in a set of sample data in statistics is symbolized by the little Latin letter x. If a letter has a horizontal bar above it, it means the variable it is placed over is considered the average or mean.

We would add all of the sample data points, divide by the sample size, and then compute the x-bar, or sample mean. This is given by [tex]\bar{x}=\frac{x_1+x_2+x_3+\cdots\cdots+x_n}{n}[/tex] where n is referred to as the sample size and [tex]\bar{x}[/tex] is the sample mean.

Therefore, the central tendency of the data is represented by this [tex]\bar{x}[/tex] or the x bar. Therefore, the mean of y-values is represented by y bar or [tex]\bar{y}[/tex].

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The volume of the given cylinder is 8358.68 m³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, radius of a cylinder is 11 m and height of a cylinder is 22 m.

We know that, the volume of a cylinder is πr²h.

Now, volume =3.14×11²×22

= 3.14×121×22

= 8358.68 m³

Therefore, the volume of the given cylinder is 8358.68 m³.

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"Your question is incomplete, probably the complete question/missing part is:"

r=11 m and h=22 m what is the volume of a cylinder?

Answer:

27540

Step-by-step explanation:

yes

Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0.Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.Real or complicated solutions are both possible.

Option A , x = 7/5 and x= -1

Formula: Let ax² + bx + c = 0 be the quadratic equation,

x = [-b±√(b²-4ac)]/2a

The given quadratic equation be

5x² -2x = 7

⇒ 5x² -2x - 7 = 0  

a = 5, b = -2 and c = -7

Therefore x = [-b±√(b²-4ac)]/2a

x=[-(-2) ±

√((-2)²-4*5*(-7))]/2*5

x =[2 ± √144)]/10

x =[2 ± 12)]/10

x = (2+12)/10 and x = (2-12)/10

x = 14/10 = 7/5 and x= -12/10 = -1

Therefore,the correct answer is Option A , x = 7/5 and x= -1.

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Answer:

84,480 pennies!

Step-by-step explanation:

Tthe probability that the difference in the diameters of the two ball bearings is less than 0.06 mm is 0.0478

From the question, we have the following parameters that can be used in our computation:

Mean = 11.5

Standard deviation = 0.05

Let the diameters be X and Y

So, we have

P(|X - Y| < 0.06)

Using this information, we have

P(|X - Y| < 0.06) = P( -0.06 < X - Y < 0.06)

= P(X - Y < 0.06) - P(X - Y < -0.06)

= 0.0478

Hence, the probability is 0.0478

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