The pattern in this table continues. Which equation below relates the number of squares to the figure number?
a) s=4 f+1
b) s=2 f+3
c) s=f+2
d) f=2 s+3
A
B
C
D

The required number of small prism that would be fill in the large prism is given as 6

As mentioned in the question, a large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.

Here,
The volume of the large prism = 12 × 9 × 6
                                              = 648 inches cube
The volume of the small prism = 12 × 3 × 3
                                              = 108 inches cube,

The ratio of the volume of the large prism to a small prism will give the number of small prisms needed to fill the large prism. So,
n = 648 / 108  = 6 / 1

Thus, the required number of small prism that would be filled in the large prism is given as 6.

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Answer:

x = 1

Step-by-step explanation:

Work backwards:

5 + x = 6 (minus 5 from both sides)

6-5 = x

x =1

Sub in to check

Answer:

5 + x = 6

X = 6 -5

X = 1

Value of X is 1

Answer: your question is poorly written attached below is the complete and well written question

answer : The minimal polynomial has degree m + 1 hence Z^m+1

Step-by-step explanation:

Given that

N ∈ L(V) is nilpotent

attached below is the required prove

SOLUTION:

Step 1:

Since each side of the given triangle has the same length.

Step 2:

To find the actual length of each side:

CONCLUSION:

The answer is true, each side of the equilateral triangle is

The trigonometric identities are verified that they are true.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

1. LHS = sec x [ sec x - cos x]+(sin x+ cos x)/sin x- cot x

       = sec²x - sec x cos x +(sin x+ cos x)/sin x - cos x/sin x

       = sec²x - cos x/cos x +(sin x+ cos x- cos x)/sin x

       = sec²x - 1 + sin x /sin x

       = sec²x - 1 +1

      = sec²x

      = RHS

2. LHS = cos (π-Θ)+ sin (π/2 + Θ)

           = - cos Θ + cos Θ

           = 0

          = RHS

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The amount of money that each person would get for the three days of work is $92.

The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.

Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day

= $93 + $75 +$108  =$276

The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.

The amount of money gotten by each person = total earnings / total number of people

$276 / 3 = $92

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5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

Part A (simplest form): 3 over 4.

Part B (denominator of 32): 24 over 32

Step-by-step explanation:

Make sure to give 5 stars if this helped :)

The simplification of the fraction is 3/4 and the equivalent fraction that has a denominator of 32​ is 24/32.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction is 12/16

After simplification;

Divide by 4 on the numerator and denominator.

= 3/4

In the fraction 12/16 multiply by 2 on the numerator and denominator:

= (12/16)(2/2)

= 24/32

Thus, the simplification of the fraction is 3/4 and the equivalent fraction that has a denominator of 32​ is 24/32.

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9514 1404 393

Answer:

  2

Step-by-step explanation:

The solution to the inequality is ...

  10 < -x +13

  x < 3 . . . . . . . add x-10 to both sides

The additional restriction that x is positive makes this ...

  0 < x < 3

The only integer solutions to this are x = 1 and x = 2.

There are two (2) positive integer values of x that are solutions.

Answer:

2

Step-by-step explanation:

We first solve the inequality:

10 < -x + 13

-3 < -x

3 > x.

The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.

Answer:

35/4

Step-by-step explanation:

multiply 8 by 4, add the 3

Answer:

the answer is C

Step-by-step explanation:

The probability that exactly 2 of the pencils in the package are painted green is given as follows:

p = 9/30.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

In this problem, we have a set of 30 outcomes, in which the number of outcomes in which the letter G appears exactly twice is given as follows:

9.

Hence the probability that exactly 2 of the pencils in the package are painted green is given as follows:

p = 9/30.

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Answer: B: 20

Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!

Hope this Helps!

Answer:

follow me if this helped you

Step-by-step explanation:

Area of inscribed square.

A circle is inscribed into a square, find the area of the circle if one side of the square is 15 m

The diameter of the inscribed circle is equal to the length of the square's diagonal, which is equal to the length of one side of the square multiplied by the square root of 2 (since the diagonal of a square is equal to the square root of 2 times the length of one side). Therefore, the diameter of the inscribed circle is 15m * sqrt(2) = 15m * 1.41421356237 = 21.213203435596424m

The area of a circle is given by the formula A = π * r^2, where r is the radius of the circle. Since the diameter of the circle is 21.213203435596424m, the radius is half of that, which is 10.60660171779821m.

So the area of the circle is A = π * r^2 = π * 10.60660171779821^2 = 353.09

Answer:

You have it y=-1

Step-by-step explanation:

It's hard to explain

Answer:

x = 3

Step-by-step explanation:

mid point means it bisects the segment into two equals halfs meaning

ST = TU

8x + 11 = 12x - 1

8x + 12 = 12x

12 = 4x

3 = x

Answer:

x

+

2

y

=

4

,  

x

−

y

=

−

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reciprocal trig functions are opposite or mirror of the normal trig functions. The normal trig functions are as follows:

Sine = opposite side/hypotenuse

Cosine = adjacent side/hypotenuse

Tangent = opposite side/adjacent side

The reciprocals of the above trig ratios would be

Cosecant = hypotenuse/opposite side

Secant = hypotenuse/adjacent side

Cotangent = adjacent side/opposite side

Therefore, looking at the given options, the trigonometric function that can be described as a reciprocal trig function is

D. sec(0)

Answer:

The minimum distance of Mercury from the Sun is  

28.5

million miles, and the maximum distance is  

43.5

million miles.

Step-by-step explanation:

its the right answer

you add or subtract 7.5 from 36 to get the minimum and maximum because thats the distance from 36 that it varies

Answer:

#1. 28.5
#2. 43.5

Answer:

\(x^3y^5\)

Step-by-step explanation:

\(\frac{(x^3y^2)^2(xy^2)}{x^4y} = \frac{(x^6y^4)(xy^2)}{x^4y}=\frac{x^7y^6}{x^4y} =x^3y^5\)

Here , the general rules followed are :-

i) \(x^m * x^n =x^m^+^n\)

ii) \((x^my^n)^z = (x^m^z)(y^n^z)\)

iii) \(\frac{x^my^n} {x^ay^b} = (x^m^-^a)(y^n^-^b)\)

Answer:

1 : 3 : 5 = 20° : 60° : 100°

Step-by-step explanation:

Let the angle of the triangle be x

Given the following data;

1 : 3 : 5 = x : 3x : 5x

We know that the sum of the sides of a triangle is equal to 180 degrees.

x + 3x + 5x = 180

9x = 180

x = 180/9

x = 20°

Now, to find the measure of each angle.

For the first side;

x = 20°

For the second side;

3x = 3*20 = 60°

For the third side;

5x = 5*20 = 100°

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

15

Step-by-step explanation:

If you're asking how much you're burning per minute, it would be 15 calories. 120 divided by 8 equals 15. Hope this helps! :D

Answer:

47.32

Step-by-step explanation:

Answer:

The slope is 6/3 or simplified is 2

Step-by-step explanation:

Stick to this formula

y2-y1/

x2-x1

9-3/

5-2   = 6/3 or 2

See attachment for further explanation

Hope this helps (:

The slope of the line that passes through (2, 3)(5, 9) is 2

Therefore, the slope of the line that passes through the points (2, 3)(5, 9) can be found as follows;

y₁ = 3

y₂ = 9

x₁ = 2

x₂ = 5

m = 9 - 3 / 5 - 2

m = 6 / 3

m = 2

slope = 2

Therefore, the slope of the line that passes through (2, 3)(5, 9) is 2

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