Anwer fast due tomorrow show work

The graph of the given inequalities is Attached below.

From the given inequalities:

As the first inequality is not strictly true, the graph of it is a straight solid line that passes through the points (0, 2) and (2/3, 0), with the shaded area being further from the origin ( as it fails the zero point test )

As the second inequality is not stringent, the graph of the inequality is a straight solid line that passes through the points (0,-4) and (8,0), with the shaded area pointing in the direction of the origin (since the inequality passes the zero point test)

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Complete question:

Which graph represents the system of inequalities?

y + 3x ≥ 2

y + 4 ≥ 1/2x

Answer:

6x-50-7(3x+10)=0

Distribute the -7:

6x - 50 - 21x - 70 = 0

Combine like terms:

-15x - 120 = 0

Add 120 to both sides:

-15x = 120

Divide both sides by -15:

x = -8

Answer: y = 2x + 2

Step-by-step explanation: First, you find slope between the points with point slope form. (8-(-6))/(3-(-4) = 2.

2 is the slope.

Now we have y = 2x + b.

To find b, we pick a coordinate and insert the values.

8 = 2(3) + b

8 = 6 + b

8 - 6 = b

b = 2

Put it together, you have y = 2x + 2

The three adverbs in the sentence are:

hard (modifying the verb "raining")

clearly (modifying the verb "see")

almost (modifying the verb "crashed")

1) "Hard" is an adverb of manner that describes how the rain was falling. It indicates that the rain was falling with intensity or force, which made it difficult for the driver to see.

2) "Clearly" is an adverb of manner that describes how the driver was seeing. It indicates that the driver was having difficulty seeing due to the heavy rain, which was affecting their vision.

3) "Almost" is an adverb of degree that modifies the verb "crashed." It indicates that the driver came very close to crashing their shiny new car, but managed to avoid a collision at the last moment.

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The given data results in the following Frequency Distribution

Class Frequency

21-27 3

28-34 8

35-41 7

42-48 8

49-55 4

In statistics, frequency distribution is a way of organizing data into categories, or intervals, and counting how many observations fall into each category. It helps us understand the distribution of data and identify patterns within it.

To construct a frequency distribution using 5 classes, we need to first determine the range of the data:

Range = Maximum value - Minimum value

= 52 - 21

= 31

We can then calculate the width of each class:

Width = Range / Number of classes

= 31 / 5

= 6.2

Since we cannot have a fractional width, we round up to the nearest whole number. The class width is therefore 7.

Next, we need to determine the class intervals, or boundaries, which are the values that define each class. We start with the minimum value and add the class width successively:

Class 1: 21-27

Class 2: 28-34

Class 3: 35-41

Class 4: 42-48

Class 5: 49-55

We can now count how many observations fall into each class. The resulting frequency distribution is shown below:

Class Frequency

21-27 3

28-34 8

35-41 7

42-48 8

49-55 4

In this frequency distribution, we can see that the majority of the observations fall into the middle three classes, with fewer observations in the first and last classes. This suggests that the data is roughly symmetric and evenly distributed around the center.

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A) The total cost for 45khw of electricity is 27.50c.

B) The total cost for 60khw of electricity is 76.70c.

C) Total cost for 100khw of electricity is 76.70c.

To calculate the cost of electricity for different amounts of kWh, we need to use the sliding scale tariffs provided by the local municipality. Here are the calculations for the given scenarios:

A. For 45 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

There is no electricity used beyond the first 50 kWh, so the total cost is 27.50c.

B. For 60 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

The next 10 kWh cost 0.82c per kWh, so the cost is 10 x 0.82 = 8.20c

The total cost is 27.50c + 8.20c = 35.70c.

C. For 100 kWh of electricity:

The first 50 kWh cost 0.55c per kWh, so the cost is 50 x 0.55 = 27.50c

The next 60 kWh cost 0.82c per kWh, so the cost is 60 x 0.82 = 49.20c

The remaining 40 kWh are not covered by the sliding scale tariff and their cost is unknown.

The total cost is 27.50c + 49.20c = 76.70c.

In summary, the cost of electricity varies depending on the amount of kWh used, and we need to use the sliding scale tariffs to calculate it correctly.

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The difference between the median math test score, as shown by the ox plots, is: 12.5.

The median of a data set is displayed in a box plot as the value that is at the vertical line that divides the rectangular box. This is also 50% mark of the data set.

Thus, the data set for afternoon, as shown in the box plot has a median that is 75, while the median of the data set for morning is 87.5.

Find the difference of their medians:

Difference of their medians = 87.5 - 75 = 12.5.

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The volume of the cylinder that has a diameter of 7 yards and a height of 12 yards is: 147π cubic yard.

The volume of a cylinder can be determined by applying the volume formula which is given as:

Volume (V) = πr²h,

where "r" is the radius of the cylinder

"h" is the height of the cylinder

π is a constant

Given the following:

Diameter of cylinder = 7 yards, thus, radius (r) = 7/2 = 3.5 yards

Height (h) = 12 yards

Plug in the values:

Volume of the cylinder = π * 3.5² * 12 = 147π cubic yard.

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The measure of angle 3 is 95°

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

When we have two parallel lines and they are intersected by a transversal , the angles on the parallel lines are corresponding and equal.

Therefore angle 3 = angle 7

angle 7 = 180-(angle 6) (angles on a straight line)

angle 7 = 180-85

= 95°

angle 3 = angle = 7 = 95°

Therefore the value of angle 3 is 95°

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Answer:

the sum of Z1 and Z2 is 4.553 + j 5.326.

Step-by-step explanation:

To add two phasors, we add their real and imaginary parts separately.

Given:

Z1 = 2 / 63°

Z2 = 5 / 42°

Converting them to rectangular form:

Z1 = 2 cos(63°) + j 2 sin(63°) = 0.921 + j 1.862

Z2 = 5 cos(42°) + j 5 sin(42°) = 3.632 + j 3.464

Adding them:

Z1 + Z2 = (0.921 + 3.632) + j (1.862 + 3.464)

= 4.553 + j 5.326

Therefore, the sum of Z1 and Z2 is 4.553 + j 5.326.

hope this helped you!;))

The volume of a right circular cone which has a height of 11.9 ft and a base with a radius of 16.3 ft as required is;

As evident in the task content; the volume of a right circular cone a height of 11.9 ft and a base with a radius of 16.3 ft is to be determined.

Recall, the volume of the cone is;

V = (1/3) × πr²h

V = (1/3) × π × 16.3² × 11.9

V = 3310.9 ft³.

Ultimately, the volume of the right circular cone is; 3310.9 ft³.

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Answer:

3310.9

Step-by-step explanation:

We need 4608 cubes to fill the rectangular prism.

We have,

The rectangular prism has a volume of:

Volume = length x width x height

Volume = 8 in. x 4 in. x 2 1/4 in.

Volume = 72 in³

Each cube has a volume of:

Volume of cube = edge length³

Volume of cube = (1/4 in.)³

Volume of cube = 1/64 in³

To find the number of cubes needed to fill the rectangular prism, we can divide the volume of the prism by the volume of each cube:

Number of cubes = Volume of prism / Volume of a cube

Number of cubes = 72 in³ / (1/64 in³)

Number of cubes = 72 in³ x 64 / 1

Number of cubes = 4608 cubes

Therefore,

We need 4608 cubes to fill the rectangular prism.

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Answer:

Step-by-step explanation:

Answer: The correct answer would be n/255 = 115/360 (N= 81.46)

Step-by-step explanation:

n/255 = 115/360

155/360 = (255)

n = 81.46 ft squared

The exponential function that models the relationship between the two points is [tex]y = 41.62 (1.0824)^x.[/tex]

We have,

To write an exponential model given two points (6,85) and (7,92), we can use the general exponential function form:

y = a[tex]b^x[/tex]

where y is the dependent variable, x is the independent variable, a is the initial value (when x = 0), and b is the base of the exponential function.

To find the values of a and b, we can use the two given points as follows:

When x = 6, y = 85:

85 = a b^6

When x = 7, y = 92:

92 = a b^7

We now have a system of two equations with two unknowns (a and b).

We can solve for a by dividing the second equation by the first equation:

92/85 = (ab^7) / (ab^6)

1.0824 = b

Substitute this value of b into one of the equations to solve for a:

85 = a (1.0824)^6

a = 41.62

Therefore,

The exponential function that models the relationship between the two points is [tex]y = 41.62 (1.0824)^x.[/tex]

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The statements can be arranged correctly as follows:

1. Word Form shows a number written in words.

2. Standard form shows a number written using digits.

3.  Digit is one of the numerals from 0 to 9

4. Place value the position of a digit in a number, which determines its value.

5.  Period each three-digit part of a whole number, separated by commas

6. Expanded form shows a number written as an addition statement

We can determine the terms by first understanding the mathematical meanings. Word form is a term used in math to denote expressions written in word B.

Also, the standard form is a way of shortening large numerical values using digits. Digits are single numbers that run between 0 to 9 and they make up the higher values of numbers.

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In the given diagram, using one of the circle theorems, the value of x is 68°

From the question, we are to calculate the value of x in the given diagram.

The diagram shows a circle with O. The angle subtended at the center is 136°. We are to determine the value of the unknown angle x.

From one of circle theorems, we have that

The angle subtended by arc at the center of a circle is twice the angle at the circumference.

Therefore,

We can write that

136° = 2x

Solve for x in the above equation

136° = 2x

Divide both sides of the equation by 2

136° / 2 = 2x / 2

68° = x

Hence,

x = 68°

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The image of △FGH after the similarity transformation is △F"G"H", with vertices F"(-2, 2), G"(-2, 6), and H"(2, 6).

To perform the similarity transformation, we first apply the translation by subtracting 3 from the x-coordinates and subtracting 1 from the y-coordinates:

F' = (2-3, 2-1) = (-1, 1)

G' = (2-3, 4-1) = (-1, 3)

H' = (4-3, 4-1) = (1, 3)

Next, we apply the dilation with a scale factor of 2 by multiplying each coordinate by 2:

F" = 2(-1, 1) = (-2, 2)

G" = 2(-1, 3) = (-2, 6)

H" = 2(1, 3) = (2, 6)

So the image of △FGH after the similarity transformation is △F"G"H", with vertices F"(-2, 2), G"(-2, 6), and H"(2, 6).

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In mathematics, the expression "to the power of" pertains to the exponent, signifying how many times a key number is to be multiplied by itself.

Expressing this idea in English can be done well by using the term "to the power of." To show this, 2 raised to the third power can be interpreted as 2 multiplied by itself three times, resulting in 8.

Therefore, the possible reason behind using the word "power" is probably due to the fact that when the exponent rises, the outcome number is wide, either being greater or smaller, made on the base being above or below 1. This implies that the figure holds more significant value.

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Answer:

C. 16√5

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]48^2 = 32^2 + x^2\\2304 = 1024 + x^2\\x^2 = 1280\\x = \sqrt{1280}\\[/tex]

[tex]\sqrt{1280}[/tex] is also equal to [tex]16\sqrt{5}[/tex].

By calculating the volume of both figures, we will see that 11,160 cubes can be fit in the prism.

Now, So we start with a rectangular prism that measures (7 + 1/2)cm by 12cm by (15 + 1/2) cm.

Hence, The volume is just the product of these 3 values,

so we get:

V = (7 + 1/2)cm × 12cm × (15 + 1/2)cm

V = 1,395 cm³

Now, a cube with an edge length of 1/2 cm has a volume of:

V' = (1/2cm)³

V' = 0.125 cm³

To see how many of the small cubes enter in the prism, we just need to take the quotient between these two volumes, this is:

V/V' = ( 1,395 cm³)/(0.125 cm³) = 11,160

This means that, 11,160 of the cubes can be fit in the prism.

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complete question is,

A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

The value of the expression is 0.017455065

Identities enable us to simplify complicated expressions. They are the basic tools of trigonometry used in solving trigonometric equations, just as factoring, finding common denominators, and using special formulas are the basic tools of solving algebraic equations.

The given expression is (Tan π/18 + Tan π/9) ÷ (1 - Tan π/1 Tanπ/9)

This gives [Tan (π/18 * π/9) ÷ 1/(Tan(π/18 * π/9)

Simplify further to have

Tanπ²/162 * 162/π²)

This gives Tan1 =  0.017455065

This implies that  (Tan π/18 + Tan π/9) ÷ (1 - Tan π/1 Tanπ/9) = 0.017455065

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Answer:  5km

Step-by-step explanation:

The formula for Surface area of a square pyramid

SA= [tex]L^{2} + 2Ls[/tex]         where L is the length on the bottom and s is the slant height

                                L=1 km              s=2 km

SA = [tex]1^{2} +[/tex] 2(1)(2)

=1+4

=5km

When someone aged 20 sets up an IRA retirement account with an APR of 5% and deposits $65 at the end of each month, when he retires at age 65, the account will have a future value of $131,718.42.

b) Compared to the total deposit he made over time ($35,100.00), he generated a total compounded interest of $96,618.42.

The future value can be determined using an online finance calculator, which compounds the interest at 5% over a period of 540 months or 45 years.

Number of years = 45 years (65 - 20)

N (# of periods) = 540 months (45 years x 12)

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $65

Results:

Future Value (FV) = $131,718.42

Sum of all periodic payments = $35,100.00 ($65 x 540 months)

Total Interest = $96,618.42

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James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the Aesthetic movement is: B. Aesthetic.

The art for art's sake movement which began to form in the late 19th century as a response against the utilitarian and moralistic attitude to art that had predominated in previous centuries is exemplified by The Falling Rocket.

The movement emphasized the value of art as a self sufficient and independent field, free from politics, religion and other outside influences.

Therefore the correct option is B.

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The possible dimensions (length and width) of the field which is rectangle are (26m, 5m) or (5m, 26m) and (28m, 4m) or (4m, 28m)

Let's assume the length of the rectangle be L and the width be W.

We know that we have three sides of the rectangle to fence, so the total length of the fence will be L+2W = 36m.

Also, we know the area of the rectangle = L×W = 154 sq.m

Using the two equations above, we can solve for L and W as follows:

L = 36 - 2W (from the first equation)

Substituting this value of L in the second equation:

(36 - 2W)W = 154

2W² - 18W + 77 = 0

We get two possible values of width: W = 5 or W = 4

For W = 5, L = 26

For W = 4, L = 28

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Answer:

Step-by-step explanation:

[tex]\sf -24=8(y-8)-4y[/tex]

[tex]\sf 8\left(y-8\right)-4y=-24[/tex]

Expand:-

[tex]\sf 4y-64=-24[/tex]

Add 64 to both sides:-

Divide both sides by 4:-

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