Find h(-2) for h(r)= r^2 - 7r + 2

Micro's highest score in his new video game is 420,000.

To calculate the highest score Micro made in his new video game, we can use the associative property of multiplication. The associative property states that the grouping of numbers being multiplied does not affect the product.

Given that Micro's highest score is the product of 70 * 6,000, we can use the associative property to break down the calculation mentally.

Step 1:
Multiply 70 by 6,000:
70 * 6,000 = 420,000

Step 2:
Now, let's apply the associative property. We can break down 6,000 into two parts: 6,000 = 100 * 60.

Step 3:
Multiply 70 by 100:
70 * 100 = 7,000

Step 4:
Multiply the result from Step 3 by 60:
7,000 * 60 = 420,000

Therefore, Micro's highest score in his new video game is 420,000.

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Answer:

2.6

Step-by-step explanation:

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

\(72 = 2^3 * 3^2\\\\48 = 2^4 * 3\\\\48 = 2^4 * 3\\\\48 = 2^4 * 3\\\\\)

The GCD of the crayons is \(2^3 * 3\), which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = \(2^3 * 3 * 5\)

The GCD of the drawing paper is also \(2^3 * 3\), which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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The area of the parallelogram is 45 square units.

The area of the right trapezoid is 42.5 square units.

A parallelogram is a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.

Area of parallelogram = base × height

= 9 × 5

= 45 square units

Area of a right trapezoid = 1/2 (a + b)h

= 1/2(10 + 7)5

= 1/2(17)5

= 1/2(85)

= 42.5 square units

Therefore, the area of the parallelogram and right trapezoid is 45 square units and 42.5 square units respectively.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

x=7

Step by Step Explanation:

(8x+6)°=m∠4

(8x+6)°=62°

*180-118=62*

Subtract 6 from both sides

8x=56

Divide by 8

x=7

The value of x from the given figure is 7.

From the figure, given angles are 118° and (8x+6)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal. We can use the information given in the diagram to find any angle around the intersecting transversal.

Now, 118°+∠4 = 180° (Adjacent angles are adds up to 180°)

⇒ ∠4 = 180° - 118°

⇒ ∠4 = 62°

⇒ ∠4 = (8x+6)° (Alternate interior angles are equal)

⇒ 62° = (8x+6)°

⇒ 8x = 62-6

⇒ 8x = 56

⇒ x = 7°

Therefore, the value of x from the given figure is 7.

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Answer is C because it's less than.

Therefore, the value of x that will make the triangles similar by the SSS similarity theorem is approximately 73.51.

To determine the value of x that will make the triangles similar by the SSS (Side-Side-Side) similarity theorem, we need to identify the corresponding sides of the triangles and set up a proportion.

Let's denote the corresponding sides of the two triangles as follows:

Triangle 1: Side A = 15, Side B = 59, Side C = 77

Triangle 2: Side A' = 9, Side B' = x, Side C' = 96

According to the SSS similarity theorem, for two triangles to be similar, the ratios of the corresponding sides must be equal.

Therefore, we can set up the following proportion:

A / A' = B / B' = C / C'

Substituting the given values, we have:

15 / 9 = 59 / x = 77 / 96

To find the value of x, we can solve the second equation in the proportion:

59 / x = 77 / 96

Cross-multiplying, we get:

59 * 96 = 77 * x

Simplifying further:

5664 = 77x

Dividing both sides by 77:

x = 5664 / 77

Calculating this value:

x ≈ 73.51

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Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

The percentage of water in the milk cup and the percentage of milk in the water cup are same.

What is milk?

A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.

Given:

There are a cup of milk and a cup of water.

Take one teaspoon of milk, put into the water cup; mix well.

Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.

Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.

When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.

And the percentage of milk cup are 'q - 1'.

Again one teaspoon of mixture in the water cup put into the milk cup.

So, the percentage of milk cup are, q - 1 + 1 = q.

And the percentage of water cup are p + 1 - 1 = p.

The percentage will be same for both milk cup and water cup.

Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.

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Answer:

SAS postulate

Step-by-step explanation:

the congruent angles are JMK and KML

the congruent sides is the shared side and JM and ML

Answer:

Graph 1.

Step-by-step explanation:

X intercepts are where a line passes through on the x axis. The only line that passes through the x axis at (-3,0) and (-4,0) is the line shown on graph 1.

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

y = -15

Step-by-step explanation:

All you have to do is 51 divided by -3.4 and it equals -15. Inverse operations in short terms. And if you substitute -15 for y it will fir.

Answer:

-3.4y = 51

y = 51/-3.4

y = 510/-34

y = -15

The area of circle C, which passes though points W and Z is 324π square meters.

The center of the outer circle, Point D, is where we want to calculate the area of the circle has a WZ diameter and WC and CZ radii.

That YZ = YD = 10 cm is known.

Let DC = x and CY = 10 - x

The outer circle's radius can be expressed as 8 + 8 + x or 10 + 10 - x, which we can equate to determine its value of x

8 + 8 + x = 10 + 10 - x

Simplify

16 + x = 20 - x

Subtract 16 on both side, we get

x = 4 - x

Add x on both side, we get

2x = 4

Divide by 2 on both side, we get

x = 2

As a result, the circle's radius is

= 8 + 8 + x

= 16 + x

= 16 + 2

= 18 cm

The area of circle = πr²

The area of circle = π(18)²

The area of circle = 324π

Thus, the circle's area is 324π square meters.

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The complete question is:

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ.

What is the area of circle C, which passes though points W and Z?

A. 81

B. 164

C. 324

D. 1296

x + 84 = 4x

These are equal because they're vertical angles. Now, let's subtract x from both sides.

84 = 3x

Divide both sides by 3

28 = x

x + 84 = 28 + 84 = 112 degrees

Step-by-step explanation:

in my opinion

total area = the width × the length

= (3x-4)(-8x+2)

= -24x²+6x+32x -8

= -24x² + 38x -8

The derivatives of the functions are as follows:  y' = 4x^3+2x-3x^2-3 , s'(t) =\(2(2-t^2)/(2sqrt t) - 2t(sqrt t+3)/(2sqrt t)\) ,  f'(x) = 4x^3sin x + x^4cos x

1. y' = (2x-3)(x^2+1) + (x^2-3x)(2x) = 4x^3+2x-3x^2-3

2. s'(t) = \((1/(2sqrt t))(4-t^2) + (sqrt t+3)(-2t) = 2(2-t^2)/(2sqrt t) - 2t(sqrt t+3)/(2sqrt t)\)

3. f'(x) = 4x^3sin x + x^4cos x

1. Begin by applying the product rule to differentiate the function. The product rule states that the derivative of a product of two functions is equal to the product of the derivatives of the two functions.

y' = (2x-3)(x^2+1) + (x^2-3x)(2x)

2. Begin by applying the product rule to differentiate the function. The product rule states that the derivative of a product of two functions is equal to the product of the derivatives of the two functions.

\(s'(t) = (1/(2sqrt t))(4-t^2) + (sqrt t+3)(-2t)\)

3. Begin by applying the quotient rule to differentiate the function. The quotient rule states that the derivative of the quotient of two functions is equal to the quotient of the derivatives of the two functions minus the product of the two functions divided by the square of the denominator.

f'(x) = 4x^3sin x + x^4cos x

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

37

Step-by-step explanation:

Kinda complicated

Answer: 5, | 4 |, | -1 |, -2

Answer:

0, l-1l, l-2l, l4l, 5

Step-by-step explanation:

The absolute value bars l l, turn any negative number positive and any positive number remains positive.

The solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

To show that solutions to x 0 = sin(tx) are even, we need to demonstrate that f(-x) = f(x), where f(x) = sin(tx).

First, let's evaluate f(-x):

f(-x) = sin(t(-x))

Using the property of sine function, we can rewrite this as:

f(-x) = -sin(tx)

Now let's evaluate f(x):

f(x) = sin(tx)

We can see that f(-x) = -f(x), which means that f(x) is an odd function.

However, we want to show that f(x) is an even function. To do this, we need to show that f(x) = f(-x).

Substituting the value of f(-x) in f(x) we get:

f(x) = -sin(tx)

f(-x) = -sin(tx)

We can see that f(x) = f(-x), which means that f(x) is an even function.

Therefore, we have shown that solutions to x 0 = sin(tx) are even.
Hi! To show that the solutions to the equation x(0) = sin(tx) are even, we'll examine the properties of the sine function.

Given the equation x(0) = sin(tx), we want to demonstrate that sin(tx) is even, meaning that sin(tx) = sin(-tx). This can be shown by using the properties of sine and even functions.

Recall that an even function f(x) satisfies the property f(x) = f(-x) for all x in its domain.

Now, consider the sine function sin(-tx). Using the oddness property of sine, we can rewrite this as sin(-tx) = -sin(tx). Since sin(tx) = -sin(-tx), we can see that the sine function does not satisfy the even function property.

Therefore, the solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

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Answer:

gcf is 5x

Step-by-step explanation:

of the coefficients - 25, 15 and 30 - the greatest common factor is 5

each of the three terms - 25a²bx, 15b²cx³, and 30ab³cx² - has only one shared variable, which is 'x'

therefore, the gcf is 5x

Answer:

x=2

Step-by-step explanation:

\( log_{10}({10}^{2}) = x \\ 2 log_{10}(10) = x \\ 2 \times 1 = x \\ x = 2\)

because

\( log_{10}(10) \)

equals 1

There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.

This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.

To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.

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Answer:

the third option

Step-by-step explanation:

Answer:

Step-by-step explanation: