Simplify the expression x^-2/y^4

The values of x and y are 5.07 , 6.75 respectively .

What is linear Equation ?

linear equation can be defined as the equation in which the highest degree is one .

Given System of equations ,

4x + 4y = 49 let this be equation 1

7x + 2y = 52 let this be equation 2

multiply equation 1 with 7

and equation 2 with 4

so , we get ,

28x + 28y = 343

28x + 8y = 208

So, By subtracting both equations , we get

28y - 8 y = 343 - 208

20 y = 135

y = 135/20

y = 27/4

y = 6.75

Substitute y = 6.75 in the equation 2

we get,

7x + 2 * 6.75 = 52

7x = 50 - 14.50

7x = 35.50

x = 35.50 / 7

x = 5.07

Hence, The value of x and y are 5.07 , 6.75 respectively .

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Correct option is C, the resultant vector will be [tex]\vec{p} + \vec{q}[/tex].

A vector is something that possesses both magnitude and direction. A vector is a directed line segment in geometry, with an arrow pointing in the direction and a length equal to the vector's magnitude.

A quantity or phenomenon known as a vector has two distinct properties: magnitude and direction. The phrase also specifies the mathematical or geometrical representation of such a quantity.

Examples of vectors in nature include velocities, moments of inertia, forces, electromagnetic fields, and weight.

Vectors are typically employed in air and sea navigation.

Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

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No, Dominic's answer is incorrect.

To find the product of 827 and 53, you can use the standard multiplication algorithm that you would use for decimal numbers.

First, you need to multiply the rightmost digit of 53, which is 3, by 827. This gives you 2481.

Then, you need to multiply the next digit of 53, which is 5, by 827 and add this result to the previous one. This gives you 43,811.

Therefore, the product of 827 and 53 is 43,811, not 43,511 as Dominic has stated. Dominic's answer is incorrect because he has made an error in the calculation.

The slope of the line represented by the graph is -3

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

The graph

On the graph, we have the following readings (when the lines representing the rise and the run are drawn)

Length of rise = -9

Length of run = 3

The slope of the line is then calculated as

Slope = Length of rise/Length of run

Substitute the known values in the above equation, so, we have the following representation

Slope = -9/3

Evaluate the quotient

Slope = -3

Hence, the line has a slope of -3

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Answer: C, 85

Step-by-step explanation:

Hopefully, that is a fourth root :)

Raise the entire equation to the fourth power.

x-4 = 3^4

x - 4 = 81

x = 85

Option C matches the answer

Answer:240√3cm³

Step-by-step explanation: The base is a regular hexagon. We can divide the base into 6 equilateral triangles.

Each equilateral triangle has side a=4cm. Hence the area of the base is B⇒ 6×√3÷4×4² ⇒ 24√3

This implies that V = B×h = 24√3 × 10 = 240√3cm³

Gavin's calculation is incorrect, each one of the friends will get 1/12 of the cake.

We know that Gavin and his three friends want to share 1/3 of a cake equally.

So they want to divide 1/3 of a cake between 4 people, then we need to solve the quotient:

(1/3 of a cake)/4 = (1/3*4) of a cake = 1/12 of a cake.

So each friend will get 1/12 of a cake.

Instead of that value, Gavin said that each friend would get 1/9 of the cake, so his calculation is incorrect.

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The statement which is not true; B  [tex]1 \frac{1}{4} ,[/tex] is less than negative of  [tex]- 2\frac{2}{4}[/tex] because  [tex]1 \frac{1}{4} ,[/tex] is located to the right of  - [tex]- 2\frac{2}{4}[/tex] on the number line.

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

We need to find number line that shows [tex]1 \frac{1}{4} , - 2\frac{2}{4}[/tex] and - [tex]1 \frac{3}{4}[/tex]

which statement is NOT true;

A.  [tex]1 \frac{1}{4} ,[/tex] is greater than negative of  [tex]1 \frac{3}{4}[/tex] because  [tex]1 \frac{1}{4} ,[/tex] is located to the right of  - [tex]1 \frac{3}{4}[/tex] on the number line is true statement.

B. This is not true. [tex]1 \frac{1}{4} ,[/tex] is less than negative of  [tex]- 2\frac{2}{4}[/tex] because  [tex]1 \frac{1}{4} ,[/tex] is located to the right of  - [tex]- 2\frac{2}{4}[/tex] on the number line.

The statement which is not true is Option B

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The roots of the given quadratic function are obtained as 5√5 and -5√5 respectively.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given quadratic function is f(q) = q² - 125

Its roots can be found by equating it to zero as,

q² - 125 = 0

Apply the identity a² - b² to factorize as,

⇒ (q - √125)(q +√125) = 0

⇒ (q - 5√5)(q + 5√5) = 0

⇒ q =  5√5, -5√5

Hence, the roots are given as  5√5 and -5√5 respectively.

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Answer:

Given,

P=500

R=10percent

I=10

T=?

We know,

Time=100×i / R×P

= 100×10 / 10×500

= 1000/ 5000

= 5

therefore time is 5 years!!

Answer:

the answer

Step-by-step explanation:

none lol :))))))

The answer choice which correctly represent the inequality that matches the given graph as required is; y < 4.

As evident in the task content; the given graph includes a shaded region whose boundary line is parallel to the horizontal axis and has a y-intercept; 4.

On this note, since the given border line is a broken line, it follows that the inequality sign is; > or <.

Ultimately, since the region below the line is shaded, the required inequality is; y < 4.

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The domain of the function is x≥ -6. The correct option is B.

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

Given that the function is y=√(x+6) -7. Here the domain will be all the x values we can put in the function.

When the graph is plotted for the function we get the starting point of the function as (-6,-7). So the domain will be all the values from -6 to infinity.

The graph of the function is attached with the answer below.

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The value of y from the given table is 14.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, the x-values are proportional to the y-values.

Where, x=5 and y=10

Now, x=7

Here, x∝y

x=ky

5=10k

k=1/2

So, x=1/2y

y=2x

Substitute x=7 in y=2x, we get

y=14

Therefore, the value of y is 14.

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The volume of the decorative bowl is V{B} = 233.25π.

The volume of a cylinder is equivalent to -

V{Cylinder} = πr²h

The volume of a cone is equivalent to -

V{Cone} = 1/3 πr²h

Given is that Denise created a decorative bowl for a display. She carved a piece of wood into a cylinder with a diameter 15 inches and a height a of 5 inches. Then she carved a cone with a diameter of 12 inches and a height of 4 inches from the center of one base of the cylinder.

We can write the volume of the decorative bowl as -

V{B} = V{Cylinder} - V{Cone}

V{B} = πr₁²h₁ - 1/3 πr₂²h₂

V{B} = π{r₁²h₁ - 1/3 r₂²h₂}

V{B} = π{7.5 x 7.5 x 5 - 1/3 x 6 x 6 x 4}

V{B} = π{281.25 - 48}

V{B} = 233.25π

Therefore, the volume of the decorative bowl is V{B} = 233.25π.

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Answer

-3/7

Step-by-step explanation:

A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.

Answer:

x=7

Step-by-step explanation:

(x+1)/4=2

x+1=2*4

x+1=8

x=7

Answer:

137

Step-by-step explanation:

182 employees x 3 uniforms = 546 uniforms needed

546/4 = 136.5

You can't buy a partial package, so you have to buy 137 packages.  You'll have 2 extra uniforms.

Answer: 136.5

Step-by-step explanation:

182 x 3 = 546

546/4 = 136.5

You will have 137 packages with 2 uniforms left over.

The output for the expression x+2 will be;

0 = 2

1 = 3

2 = 4

3 = 5

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Using the function Output = x + 2

For input x = 0

Output = 0 + 2

Output = 2

For input x = 1

Output = 1 + 2

Output = 3

For input x = 2

Output = 2 + 2

Output = 4

For input x = 3

Output = 3 + 2

Output = 5

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area =729 feet square and perimeter =  108 feet

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet= 27 feet

So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square

And the perimeter =  4 x side= 4 x 27= 108 feet

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Answer:The measures of an exterior angle are 21,60°, and an interior angle is 360° in the given regular polygon with 14 sides.

Step-by-step explanation:

The 10th term of the arithmetic sequence will be x + 4

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

The 10th term of the arithmetic sequence will be

= a + 9d

We are given the arithmetic sequence 3x + 1, x + 4, -x + 7,

where a = 3x + 4

d = x + 4- (3x + 1)

= x + 4 - 3x - 1

= -2x + 3

Therefore, a + 9d = 3x + 1 + (-2x + 3)

= 3x + 1 - 2x + 3

= 3x - 2x + 4

= x + 4

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No, this is not the solution for the following system of equation

When two or more equations are solved simultaneously, they are referred to be a system of equations. The objective is to identify the values of the variables that satisfy each of the equations in the system. These equations frequently have many variables.

Here is an illustration of a set of equations:

x + y = 7

x - y = 1

To determine whether a given point (x, y) is a solution to a system of equations, we need to substitute the values of x and y into the equations of the system and see whether the equations are satisfied.

In this case, we want to check if (1, 1) is a solution to the system of equations:

6x + 14y = 20

8x + y = 6

We substitute the given x and y values into the system of equations:

6(1) + 14(1) = 20

8(1) + 1 = 9

And see if the two equations are true

6 + 14 = 20 is true

8 + 1 = 6 is false

So (1, 1) is not a solution to the system of equations.

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[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\hspace{5em}\textit{we also know that} \begin{cases} y=6\\ x=3 \end{cases} \\\\\\ 6=k(3)\implies \cfrac{6}{3}=k\implies 2=k\hspace{5em}\boxed{y=2x} \\\\\\ \textit{when x = -33, what's "y"?}\qquad y=2(-33)\implies y=-66[/tex]

Answer:

x>4

Step-by-step explanation:

The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic expression is given below.

⇒ x² - 14x - 60

Convert the expression into a vertex form. Then we have

⇒ x² - 14x - 60

⇒ x² - 14x + 49 - 49 - 60

⇒ (x - 7)² - 109

The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.

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