What is a set builder notation

Answer:

Step-by-step explanation:

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

Answer:

Step-by-step explanation:

I know it might not help but try searching demos scientific calculator and all you have to do is enter the formula

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

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tax because the tax shows you what you paid and ect

Answer:

Refer to the attachment

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

lxw=a

and 5x2+10, so basically just use the area formula with 10 as the values

Answer:

If each side of the square was doubled then you would have a square of 10 cm on each side

the answer is 100

Step-by-step explanation:

5 * 2 = 10

10 * 10 = 100

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

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Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

These triangles are congruent by the AAS Congruence Theorem.

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

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The figure is not given, so the question has been solved for the attached one.

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Answer:

2/20

Step-by-step explanation:

Answer:     7/10

Step-by-step explanation:

Answer:

[tex]\displaystyle w = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

Answer:

f(0) = 2, x = - 2, x = - 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

x = 0 is a point on the y- axis

Thus when x = 0 , y = 2 , that is

f(0) = 2

(b)

The roots are the values of x on the x- axis where the graph crosses

This occurs at x = - 2 and x = - 1 ← roots

Answer:

Yes

Step-by-step explanation:

Loss=(C.P)-(S.P)

C.P= x and S.P= y

Loss= x-y

Loss= $(x-y)

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

Answer:

100 oxygen molecules simple math

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Answer:

Step-by-step explanation:

There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)

Answer:

When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.

Step-by-step explanation: