6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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If the distance between two objects is 3 and their masses are 6 and 24 respectively, the mutual attraction between the two objects is proportional to 48/9 or 16/3.

According to Newton's Law of Universal Gravitation, the force of attraction between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.

Therefore, the mutual attraction between two objects with masses of 6 and 24 and a distance of 3 units between them would be calculated as follows:

F = G * (m1 * m2) / d^2

Where F is the force of attraction, G is the gravitational constant, m1 and m2 are the masses of the objects, and d is the distance between them.

Plugging in the values, we get:

F = G * (6 * 24) / 3^2

Simplifying:

F = G * 48 / 9

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Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps, i remember doing this lesson.

Answer: the two answers that contain 180

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

The dot product of two matrices, involves Multiplying the row of one matrix by the column of the other. The result of dot product of the two Numpy arrays is ;

The Numpy module is a library in python which is used for speedy numerical computation by reading data on vector - like format.

The code in python can be reproduced thus :

import numpy as np

#import the Numpy module and alias it as np

array_1 = np.array([[1, 2, 7], [3, 4, 8]])

#imput the values of the first array

array_2 = np.array([[1, 2], [3, 9], [4, 16]])

#imput the values of the second array

result = np.dot(array_1, array_2)

#attach the dot method, attach the dot product of both arrays to result.

result

#displays the result of the dot product

Therefore, the dot product of array_1 and array_2 in the question given above is array([[35, 132], [47, 170]])

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(a). Rounded to three significant figures, the length of the side of the cube is 30.0 cm.

(b). Rounded to three significant figures, the height of the trapezoidal prism is 2.75 cm.

Let's solve this problem step by step:

First, let's calculate the volume of the fish tank when it is filled with water to two-thirds of its height.

The base dimensions of the fish tank are 72 cm by 48 cm, and the height is 52 cm.

Filling it with water to two-thirds of the height means the water level is at 2/3 × 52 = 34.67 cm.

The volume of a rectangular prism (the fish tank) is given by V = length × width × height.

Plugging in the values, we have V = 72 cm × 48 cm × 34.67 cm

≈ 112,430.08 cm³.

Now, let's calculate the volume of the cube.

The cube is placed in the fish tank the water level rises to three-quarters of the height is 3/4 × 52 = 39 cm.

The volume of the water that spilled can be calculated by subtracting the volume of the fish tank before the cube was placed from the volume of the fish tank after the cube was placed.

The volume of the cube is 112,430.08 cm³ - 39 cm × 72 cm × 48 cm = 28,861.92 cm³.

Since the volume of a cube is given by V = side³, we can solve for the length of the side of the cube.

Thus, side³ = 28,861.92 cm³ and by taking the cubic root of both sides, we find side ≈ 30.042 cm.

Now, let's calculate the height of the trapezoidal prism.

We know that the volume of water spilled when the trapezoidal prism is placed is 500 cm³.

Since the volume of a trapezoidal prism is given by V = (1/2) * (a + b) * h * base a and b are the lengths of the parallel sides of the trapezoid, h is the height of the trapezoid, and base is the distance between the parallel sides, we can rearrange the formula to solve for the height:

h = (2 × V) / ((a + b) × base).

The cross-sectional area of the trapezoidal prism is 928 cm², we can find the base.

Since the area of a trapezoid is given by A = (1/2) × (a + b) × h, we can rearrange the formula to solve for the base:

base = (2 × A) / (a + b).

Plugging in the values, we have base = (2 × 928 cm²) / (72 cm + 48 cm)

≈ 9.28 cm.

Now we can calculate the height of the trapezoidal prism:

h = (2 × 500 cm³) / ((72 cm + 48 cm) × 9.28 cm)

≈ 2.754 cm.

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Answer:

Step-by-step explanation:

56. 6x = 132

      x = 22

57. 2/3 = -8x

     -24x = 2

        x = -2/24= -1/12

58. 5/11x = 55

      5x = 605

       x = 121

59. 4/5 = 10/16x

       4/5 = 5/8x

        23 = 25x

        23/25

60. 3 2/3x = 2/9

      11/9x = 2/9

      11x = 2

      x = 2/11

61. 4 4/5x = 1 1/5

      24/5x = 6/5

      24x = 6

     x = 6/24 = 1/4

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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Answer:

176$

Step-by-step explanation:

Answer:14

Step-by-step explanation:

8 divided by 2 = 4 hits

So

28 divided by 2 = 14

Answer:

1 \(\frac{3}{7}\)

Step-by-step explanation:

\(\frac{10}{7}\)

divide 10 by 7 = 1 remainder 3

the 1 is a whole number and the 3 is the amount of seventh's left , then

\(\frac{10}{7}\) = 1 \(\frac{3}{7}\)

Answer:

seven less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

nine times the difference of a number cubed and three; 9(n³-3)

eight more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

Step-by-step explanation:

The normal range using a compound inequality is 1.5 < x < 4

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

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer:45%

Step-by-step explanation:

Option A is the correct answer

Answer:

Option A

Step-by-step explanation:

hope that helps :)

Answer:

y = 90 - x

Step-by-step explanation:

x + y = 90

y = 90 - x

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Hi!

Slope is also known as rise/run, and looking at the graph we can find two clear points and use this.

(2, -3) and (-3, 1)

To get from (2, -3) to (-3, 1), we go up 4 (4) and left 5 (-5). Your slope is \(\frac{-4}{5}\).

Hope this helps!

Answer: if you dont show the picture i cant answer!

Step-by-step explanation:

So, the given triangle is a scalene right triangle.

what is triangle ?

With three consecutive sides and three angles, a triangle is an enclosed plane shape. It is one of the fundamental geometric shapes and is frequently used in physics, maths, and engineering. A triangle's total angles are always 180 degrees. Triangles come in a variety of shapes, such as equilateral triangles, which have three equal sides and angles, isosceles triangles, which have two equal sides and angles, and scalene isosceles (all sides and angles are different).

To determine the type of triangle based on the given side lengths, we can use the following rules:

If all three sides are equal, it's an equilateral triangle.

If two sides are equal, it's an isosceles triangle.

If all three sides are different, it's a scalene triangle.

We can also use the Pythagorean theorem to determine if the triangle is a right triangle. According to this theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

Let's check the sides of the given triangle using these rules:

The three sides are different, so it's a scalene triangle.

To check if it's a right triangle, we can find the longest side (53) and see if it satisfies the Pythagorean theorem with the other two sides. Using a calculator, we find that \(28^2 + 45^2 = 784 + 2025 = 2809\), and \(53^2 = 2809.\)Therefore, the triangle is a right triangle.

So, the given triangle is a scalene right triangle.

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In algebraic language, the letters may represent any number. By using a coefficient, we indicate a product. Then, 5n represents the product of 5 and a number.

Answer:

draw the diagram and multiply 5x20

the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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Answer:

The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:

(Note: we do not need all of 4 points, 2 points are enough)

-33 = a x (-8) + b

  -1 = a x 0 + b

From 2nd equation, we have:

b = -1

From 1st equation, we have:

b - 8 x a = -33

=> -1 - 8 x a = -33

=> 8 x a = 32

=> a = 4

=>  The equation of line: y = 4a - 1

Hope this helps!

:)

Since the signal of the inequality is "greater than", so the value -2 is not part of the solution, because -2 is not greater than -2.

Therefore the circle will be open.

The solution is all values of r smaller than -2. That means the values to the left of -2.

So the arrow will point left.

The solution is the values smaller than -2, to the solution set start with a circle in the value -2.