How do I solve this ?

Answer:

The answer is 6. commutative property of multiplication states that no matter the order, as long as all numbers are there, it equals the same amount.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

It's more like the missing property. This question is an example of the commutative property for multiplication. It does not matter what order you do the multiplying. 4*6 is the same as 6 * 4

The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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Answer:

Your answer is -13x + 20

Step-by-step explanation:

2x - 5*(3x - 4)

Discribute the -5.

2x + [ (-5)(3x) + (-5)(-4) ]

2x + [ (-15x +20) ]

2x - 15x + 20

- 13x + 20

Answer:

Number of Activity books = 8

Number of Storybooks = 5

Explanation:

Let x represent the number of activity books.

Let y represent the number of storybooks.

Let's go ahead and set up our equations as follows;

From equation 1, we can see that x = 13 - y

Let's go ahead and substitute the value of x into equation 2 and solve for y;

Since y = 5, let's substitute the value of y into equation 1 and solve for x;

The unit tangent vector t(t) is (3, 4t, 2t) / sqrt(9 + 20t^2), and the unit normal vector n(t) is (3, 4, 2t) / sqrt(25 + 4t^2).

The unit tangent vector t(t) of the given vector function r(t) = (3t, 1 + 2t^2, t^2) is obtained by dividing the derivative of r(t) by its magnitude. The derivative of r(t) is (3, 4t, 2t), and the magnitude of this vector is sqrt(9 + 20t^2). Therefore, t(t) = (3, 4t, 2t) / sqrt(9 + 20t^2).

The unit normal vector n(t) can be obtained by dividing the derivative of t(t) by its magnitude. The derivative of t(t) is (3, 4, 2t), and the magnitude of this vector is sqrt(25 + 4t^2). Thus, n(t) = (3, 4, 2t) / sqrt(25 + 4t^2).

These unit vectors t(t) and n(t) represent the direction of motion and the direction of the curve's curvature at each point t, respectively, providing valuable information about the behavior of the vector function r(t).

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Answer:

This is true.

Step-by-step explanation:

Finding 1/10 of a number is the same as dividing it by 10. 130 divided by 10 is 13.

Answer: 52

Step-by-step explanation:

Since the value of y varies directly with x, y = kx where k is a constant.

Since x=104, then y=78, we need to calculate the constant k. This will be:

y = kx

78 = 104k

k = 78/104

k = 0.75

What is the value of x when y=39?

Since y = =kx

39 = 0.75x

x = 39/0.75

x = 52

Answer:

6z+25

Step-by-step explanation:

6(z+4)+1

=6z+24+1

=6z+25

Answer: 4+2

Step-by-step explanation:

z=1

6(4+1=5)+1=6

Answer:

9.3 ft

Step-by-step explanation:

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

3x = 126

x=42

The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

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So, the height of the tower is approximately 363.6 feet.

You can use trigonometry to solve this problem.

If we call the height of the tower "h" and the distance between the man and the base of the tower "d", then the angle of elevation is defined as the angle between the line of sight from the observer to the top of the tower and the horizontal line.

We can use the tangent function to relate the angle of elevation to the height and distance.

tan(67) = h/d

We know that the distance between the man and the tower is 200 feet. We can use this information to find the height of the tower.

h = d * tan(67)

h = 200 * tan(67)

The height of the tower is approximately 363.6 feet.

Please note that due to the approximation of the trigonometric functions, the answer may not be exactly as calculated.

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Answer:

Top right

Step-by-step explanation:

When mult/dividing by a negative number, the sign always flips.

Step-by-step explanation:

Area of rectangle is length x breadth.

Area = (x + 7)(x + 5)

= (x² + 5x + 7x + 35)

= (x² + 12x + 35)

The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.

In this case we any vertical line will only intersect one point then we conclude that:

The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.

Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.

A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.

Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.

Therefore, the minimum number of triangular faces of a regular polyhedron is = 4

Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.

A polyhedron having equal quadrilateral faces is known as regular hexahedron.

quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula

F + V-E = 2

=> F + 6- 100= 2 => F = 96 maximum faces possible = 96

Now the difference between maximum and minimum number of faces = 100 - 4 = 96

So the difference between maximum and minimum faces is 96.

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Answer:

After 8 hrs both candles would've burned out completely, so they'll, more or less, be at the same height.

In a 10-player round-robin tennis tournament, each player must play 45 games, and a total of 90 games will be played in the tournament.

A round-robin tournament is a type of competition in which every participant plays against every other participant. In a 10-player tournament, the number of games needed can be calculated using the formula for combination.

The density of a tournament can be defined as the number of games each player must participate in to play against every other player.

To calculate the density of a 10-player round-robin tournament, we use the formula

=> n(n-1)/2,

where n is the number of players.

In this case, n = 10. So, the density of the tournament is

=> 10(10-1)/2 = 45.

This means that each player must play 45 games in total, and each game involves 2 players.

So, there will be a total of

=> 45*2 = 90

games played in the tournament.

To summarize, The density of the tournament, 45 games per player, is calculated using the formula n(n-1)/2.

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Angle 1 = 130°

Angle 2 = 124°

Angle 3 = 56°

Angle 4 = 52°

Angle 5 = 72°

Angle 6 = 94°

I primarily used the triangles to get my answers. Remember the angles in a triangle add up to 180°.

Answer:

Angle 1 = 130°

Angle 2 = 124°

Angle 3 = 56°

Angle 4 = 52°

Angle 5 = 72°

Angle 6 = 94°

Step-by-step explanation:

Answer:

You simply separate like terms

Answer:

see explanation

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), so

f(x) + g(x)

= x² + 5x + 6 + x + 3 ← collect like terms

= x² + 6x + 9

-------------------------------------------------

(f - g)(x) = (f(x) - g(x), so

f(x) - g(x)

= x² + 5x + 6 - (x + 3) ← distribute by - 1

= x² + 5x + 6 - x - 3 ← collect like terms

= x² + 4x + 3

---------------------------------------------------

(f • g)(x)

= f(x) × g(x)

= (x² + 5x + 6)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x + 3) + 5x(x + 3) + 6(x + 3)  ← distribute parenthesis

= x³ + 3x² + 5x² + 15x + 6x + 18 ← collect like terms

= x³ + 8x² + 21x + 18

---------------------------------------------------------------

(\(\frac{f}{g}\) )(x)

= \(\frac{f(x)}{g(x)}\)

= \(\frac{x^2+5x+6}{x+3}\) ← factor the numerator

= \(\frac{(x+2)(x+3)}{x+3}\) ← cancel common factor (x + 3) on numerator/ denominator

= x + 2

Answer:

61m^2

Step-by-step explanation:

1. Split the shape into squares or rectangles

5x9 Rectangle, 8x2 Rectangle

2. Find Area of Each Individual Shape

45, 16

3. Add Areas Together

45+16=61

4. Add Units Squared to the final answer

61m^2

A circle is a round-shaped figure that has no corners or edges. If a circular mosaic has radius 3 meters then the area is 28.26 square meters.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that a circular mosaic has radius 3 meters.

We need to find the area of circular mosaic.

Area of circle=πr²

Here r=3

π=3.142

Substitute the values of pi and r in Area formula

Area =3.142*3²

=3.142*9

=28.26

Therefore area of circular mosaic is 28.26 square meters.

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Remember that when you multiply a number by 10, the decimal point is moved one place to the right. Then:

Therefore, the answer is 275.4

Answer:

1. x ≥ 5

2. x ≥ 4

Step-by-step explanation:

1. 5 + 4 ≥ 9

2. 2(4)-5≥3

2x4= 8

8-5≥3

Answer: -3p^2-8p-3

Step-by-step explanation: By distributing we get, -3p^2-6p-2p-3. Then simplify accordingly.

To figure out this problem, we need to break down the steps:

-3p(p + 2) - (2p + 3)

because -3p is next to the equation in parentheses, (p + 2), you should multiply -3p into both p and 2

-3p x p = -3p² (if you multiply a variable (p) by another of the same variable with no power, it becomes squared)

-3p x 2 = -6p

so the first part of the equation went from -3p(p + 2) to -3p² -6p

and the second part of the equation has no multiplying to do

so now we add like terms!

-3p² -6p - 2p + 3

-3p² -8p + 3

order from greatest power to least power (first goes the number/variable with the highest power, then the term with a variable, and lastly the number. Right now it is currently in the correct order).

-3p² -8p + 3 is your final answer

Here volume of the cuboid is 6x³ + 32x² + 2x - 40.

A cuboid's volume is calculated by summing its length, width, and height.

The number that is used to calculate how much room there is inside a cuboid is called its volume. A cuboid is a common three-dimensional form that surrounds us. Based on a form's parameters, such as its length, width, and height, the term "volume" is used to describe how much of that shape may be contained.

So Here,

height (h) = 2x - 2

Length (l) = 3x + 4

Breadth (b) = x + 5

Volume = l × b × h

= (3x + 4) × (x + 5) × (2x - 2)

= [(3x + 4)(x + 5)](2x - 2)

= (3x² + 13x + 20] (2x - 2)

Volume = 6x³ - 6x² + 38x² - 38x + 40x - 40

Volume (V) = 6x³ + 32x² + 2x - 40

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Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

(a) The volume of the paint in the can is approximately 0.003086 cubic meters.

(b) The thickness of the layer of wet paint on the wall is approximately 0.06182 meters.

:(a) To convert the volume of the paint from gallons to cubic meters, we need to use the conversion factor 1 U.S. gallon = 0.00378541 cubic meters. Given that the paint can has 0.816 U.S. gallons of paint left, we can calculate the volume in cubic meters by multiplying 0.816 by the conversion factor. The result is approximately 0.003086 cubic meters.

(b) To find the thickness of the layer of wet paint on the wall, we need to divide the volume of the paint (in cubic meters) by the area of the wall (in square meters). The remaining paint can cover an area of 13.2 square meters, so dividing the volume of the paint (0.003086 cubic meters) by the wall area (13.2 square meters) gives us approximately 0.0002333 meters or 0.06182 meters when rounded.

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For the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5) the solution is mathematically given as

1 ≤ x < 6

Generally, the equation for the inequalities is mathematically given as

g(5-x^2)≤g(3x-5)

therefore,

x^2<5x+6

-1< x <6

In conclusion, the solution to the inequalities are

1 ≤ x < 6

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