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Find the area of the irregular figure.

Answer: k = 12

Step-by-step explanation:

2k–14 ≤ 10

1. Remove the 14 from the equation by adding it to the 10 (10 + 14)

2k ≤ 24

2. Get k to be by itself by dividing the 2 from 24

24/2 = 12

k = 12

Answer:

D. Angles 2,4

Step-by-step explanation:

They are both adjacent, which makes the answer D. the correct answer.

Answer:

B

Step-by-step explanation:

Both have a common vertex and side (next to each other).

Answer: Angle AGB

Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.

We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.

Since we know FGB is a right angle, FGB + AGB = 90 degrees

Option (D)

It is option (D) by the following reasons -

REASON 1 - The net has 4 sides.

So, Option (A) and (B) are canceled as they have 5 sides in the obtained figure.

REASON 2 - The net has two 8 inched sides and one 14 inched sides.

So, Option (C) is canceled as it has two 14 inched sides and one 8 inched side.

REASON 3 - The answer is Option (D)

As all the remaining options are canceled, the left over Option is only Option (D).

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Answer:

Step-by-step explanation:

Agree. Based on the equations above, Keiko's line has a steeper slope than Eric's line, indicating a higher rate of change in the number of texts per day with respect to age.

Answer:

The longer car will travel the fastest down the ramp

The car with the least mass will travel the fastest down the ramp

Changing the ramp height will cause the car to travel faster

Step-by-step explanation:

The longer car will travel the fastest down the ramp

On the table, we are not told what effect a longer car would have on the time taken. We are only told about the mass of car, this means that this would be one of the conclusions you could not draw.

The car with the least mass will travel the fastest down the ramp

We can see on the table that the higher than mass of a car, the quicker the car takes to go down the ramp. This is as the time taken is shorter so it had taken less time. This opposes the statement we are given therefore it should be incorrect.

Changing the ramp height will cause the car to travel faster

On the table, there is not information regarding ramp height meaning that this statement would automatically be incorrect

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Answer:

42.3

Step-by-step explanation:

= -88-5*(-4)+110.3

= -88-5*-4+110.3

= -88--20+110.3

= -88+20+110.3

= -68+110.3

= 42.3

I hope this helps!

Answer:

B

Step-by-step explanation:

According to your question B is answer

The inequality x ≤ 20 has 20 positive whole-number solutions. These solutions are the whole numbers from 1 to 20, inclusive.

In mathematics, a relation that makes a non-equal comparison between two numbers or other mathematical expressions is called an inequality. It is used to compare two numbers by their size on the number line most often. Following are several notations that are used to represent different types of inequalities:

a < b: a is less than b.

a > b: a is greater than b.

a ≤ b: a is less than or equal to b.

a ≥ b: a is greater than or equal to b.

a ≠ b: a is not equal to b.

Inequalities can be solved using similar methods as equations but with some additional rules. For example, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.

According to the question, x is lesser than or equal to 20.

We have to only find the positive whole-number solutions.

Therefore, x values start from 1 and end at 20, including 1 and 20 both.

Thus, The inequality x ≤ 20 has 20 positive whole number solutions.

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Answer:

Net worth = Assets - Liabilities

Assets' total = $315,400

Liabilities' total = $153,300

Net worth = $162,100

Answer:

[tex]3 {x}^{2} + 2x[/tex]

Step-by-step explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]

3x² + 2x

Given equation, x(3x + 2)

                            = x(3x + 2)

                       Distributive property

                            = {(x * 3x) + (x * 2)}

                            = {(1 * x * 3 * x) + (1 * x * 1 * 2)}

                                  Rearranging like terms

                            = {(1 * 3 * x * x) + (1 * 1 * 2 * x)

                            = [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

                            = {(3 * x²) + (2 * x)}

                            = (3x²) + (2x)

                            = 3x² + 2x

Answer:7100

Step-by-step explanation:

Answer: the answer is 7100 your welcome!!!!!

Answer:Statistical,Both

Step-by-step explanation:

Its right trust !

Answer:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Helping in the name of Jesus.

Step-by-step explanation:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

The distance between -4 and its opposite on the number line is 8 units

We know that opposite of 4 is −4.

So, we need to find the distance between 4 and −4 on number line.

We know that absolute value of −4 and 4 is 4

So, the distance between −4 and 4 is 8 units.

Answer:

y = 3/4 + 4

Step-by-step explanation:

Y Intercept = The number on the Y-Axis that the line crosses (Which is 4 on this question)

Slope = Rise/Run (Starting from the top of the line, count 3 down & 4 right to reach a whole number coordinate)

Answer:

slope= -7/21

Go down by 7

go right by 21

Answer: slope= -7/21

Go down by 7

go right by 21

Step-by-step explanation: slope ratio means that for every two inches of rise, you would need one foot of ramp

Answer:

34.54

Step-by-step explanation:

 C = πd

C = 11 in * 3.14 = 34.54

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

So the Adjacent Angle to ∠LSP is ∠PSM.

∠PSM number is 5

Learn more about Adjacent Angles

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Answer: The original box is 180 Inches², the new box is 330 inches²

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Step-by-step explanation:

Answer:

The first click beetle went higher.

Step-by-step explanation:

The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.

Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.

The function representing the height, h, of the first beetle is:

[tex]h(t)=-16t^2+8t[/tex]

We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:

[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]

Comparing  ax² + bx + c with the given function:

Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:

[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]

To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):

[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]

Therefore, the maximum height of the first beetle is 1 foot.

From inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.

As the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.

Answer:

$4,200 + $4,200(.05)(3) = $4,830

Step-by-step explanation:

Principal = $4,200

Interest = $4,200(.05)(3) = $630

Total = $4,200 + $630 = $4,830

The expression that correctly shows the number sentence - the square of the sum of 6 plus b is greater than 10 - is option (a) - [tex](6+b)^{2} > 10[/tex]

A mathematical statement made up of a relational symbol (=, >, <, etc.) and of two expressions is called a number sentence is . An equation is a number sentence whose relational symbol is the equal sign.

The given number sentence is an example of mathematical expressions in one variable.

Here, the variable given is 'b'.

According to the question,

The sum of 6 plus b can be represented as = 6 + b

And, the square of the sum of 6 plus b can be represented as = [tex](6+b)^{2}[/tex]

This value is greater than 10.

This means, [tex](6+b)^{2} > 10[/tex]

All other expressions are wrong interpretations of the given number sentence.

The correct answer is option (a) - [tex](6+b)^{2} > 10[/tex]

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Answer:

Step-by-step explanation:

/_BFC

Step-by-step explanation:

For the rectangular prism, the volume is obtained as 51840 cubic inches.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

First, we need to find the total volume of the 240 cubes.

Since each cube has a side measuring 1/2 ft, the volume of each cube is (1/2 ft)³ = 1/8 cubic feet.

Therefore, the total volume of the 240 cubes is -

240 × (1/8) = 30 cubic feet

Next, we need to convert this volume to cubic inches.

Since 1 foot = 12 inches, 1 cubic foot = (12 inches)³ = 1728 cubic inches.

Therefore, the volume of the 240 cubes in cubic inches is -

30 × 1728 = 51840 cubic inches

Finally, we need to find the volume of the larger rectangular prism that contains all the cubes.

The volume will be the same as the volume of 240 cubes.

Therefore, the volume value is 51840 cubic inches

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