Write these decimals in order from smallest to largest: 0.507, 0.75, 0.5, 0.078

Answer: The center of the circle will be (1,2) and the radius will be 2.5

Step-by-step explanation: Basically since its (x-1) it would become x=1 so that's ur first value same thign with y but that would be ur second value. And since in your equation it is 6.25 that would be 2.5 because 6.25 is r^2 and you are looking for r.

Answer:

27.53

Step-by-step explanation:

The apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.

Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides

Given,

A hot tub is in the shape of a regular pentagon.

The side of polygon is 4ft.

We need to find the apothem of the pentagon, area and perimeter.

In the middle we will have 360 degrees.

If we divide the polygon to five triangles, then one of the verte will have 36 degree measure.

h=2/tan 36=2.7528

Perimeter of polygon=5 a

a is side of polygon

Perimeter=5×4=20 ft.

Area=1/2 perimeter ×apothem

=1/2×20×2.7528

=27.528 ft²

Hence the apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.

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Answer:

$17.2

Step-by-step explanation:

120 + 16*100 = 120 + 1600 = 1720

The member pays $1720 annually for 100 classes and membership fee combined.

1720/100 = 17.2

The student pays $17.2 per class on average.

Answer: 5020

Step-by-step explanation:

10^3= 1000

1000*5.02=5020

The length of ladder is 30 ft.

The formula below can be used in solving the problem

Tan (∅)= [tex]\frac{opposite}{adajacent}[/tex]

∅=70°

opposite = BC

Adjacent  = 12 ft

70°= opposite/ 12

opposite= 32.96 ft

Therefore, The length of ladder is 30 ft.

NOTE; Since the actual diagram can not be found i solved another on on the same topic

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CHECK COMPLETE QUESTION BELOW:

Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)

a. 25ft

b. 30ft

c. 35ft

d. 40ft

Answer:

sorry accidentally posted

Step-by-step explanation:

will update when question comes out

The solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

From the question, we are to solve the given system of equations

The given system of equations is

4x + y = 6     -----------(1)

2x - 3y = -4   -----------(2)

From the equation (1)

4x + y = 6

y = 6 - 4x      ----------(3)

Substitute the value of y into equation (2)

2x - 3y = -4

2x -3(6 - 4x) = -4

2x -18 +12x = -4

2x + 12x = -4 + 18

14x = 14

x = 14/14

x = 1

Substitute the value of x into equation (3)

y = 6 - 4x

y = 6 - 4(1)

y = 6 - 4

y = 2

Hence, the solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

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Answer:

A

Step-by-step explanation:

The pattern is quadrilateral (4-gon), pentagon (5-gon), and hexagon (6-gon). Therefore the next figure would be a heptagon (7-gon).

Answer:

3/10 as a decimal is expressed as 0.3.

Answer:

At 15 hours of work they will be equal.

Step-by-step explanation:

James: y = 10x + 20

Kelly: y = 8X + 50

Set them equal to each other and solve

10x + 20 = 8x + 50  Subtract 8x from both sides of the equation

2x + 20 = 50  Subtract 20 from both sides of the equation

2x = 30  Divide both sides by 2

x =15

The radius and the center of the circle are 4 units and (1,2), respectively

The center of the circle is on

y = 2x and x = 1

Substitute x = 1 in y = 2x

y = 2 * 1

Evaluate

y = 2

This means that the center is

Center = (1, 2)

Also, we have the point of tangency to be:

(x, y) = (1, 6)

This point and the center have the same x-coordinate.

So, the distance between this point and the center is

d = 6 - 2

d = 4

This represents the radius

Hence, the radius and the center of the circle are 4 units and (1,2), respectively

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Answer: 22/85

Step-by-step explanation:

Answer:

22/85

Step-by-step explanation:

Answer:

(f + g)(x) = x² + 2x - 6

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 ← in standard form

The difference between the functions give:

(f - g)(1) = f(1) - g(1) = -3

For two functions f(x) and g(x), the difference is defined as:

(f - g)(x) = f(x) - g(x).

Then:

(f - g)(1) = f(1) - g(1)

By looking at the given tables, we know that:

f(1) = -2

g(1) = 1

Replacing that we get:

(f - g)(1) = f(1) - g(1) = -2 - 1 = -3

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The total length of all meteors that are 1 6/8 inches is three and four-eighths inches.

Given :

Tick 1 exists 2/8 (1 data point)

Tick 2 exists 3/8 (3 data points)

Tick 3 exists 4/8 (2 data points)

Tick 4 exists 5/8 (no points)

Tick 5 exists 6/8 (2 data points)

Tick 6 exists 7/8 (no data points)

Tick 2 exists 3/8 (3 data points)

....

Tick 13 exists [tex]$1\frac{6}{8}[/tex] (2 data points)

Therefore, total length of all meteors that exist [tex]$1\frac{6}{8}[/tex] inches :

Length of meteor = [tex]$1\frac{6}{8}[/tex]

Number of meteors = 2

[tex]$(2 * 1\frac{6}{8}) = 2 * 1\frac{4}{8} = \frac{28}{8} = 3 \frac{3}{8} = 3 \frac{1}{2}[/tex]

Therefore, the correct answer is option A. three and four-eighths inches

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The complete question is :

What is the total length of all meteors that are 1 6/8 inches? A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

A) three and four-eighths inches

B) three and five-eighths inches

C) four and seven-eighths inches

D) three and seven-eighths inches

The solution of the given expression is 9*[tex]x^{4}[/tex]/100.

GIven an expression equal to 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].

We have to simplify the expression in which variable comes only once.

Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.

The given fraction is 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].

When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.

=27[tex]x^{4}[/tex]/300

Now divide numerator an denominator by 3.

=9[tex]x^{4}[/tex]/300

Hence the expression 27[tex]x^{12} /300x^{8}[/tex] will look like [tex]9x^{4} /100[/tex] after simplifying.

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Answer:

[tex]Simplify:\sqrt\frac{27x^{12} }{300x^{8} }[/tex]

[tex]O \frac{9}{100}x^{4}[/tex]

✔ [tex]\frac{3}{10} x^{2}[/tex]

[tex]O \frac{27}{300} x^{4}[/tex]

[tex]O\frac{9}{10} x^{2}[/tex]

Term life insurance has the lower premium because term life insurance pays the face value to your beneficiary if you die within a certain set period of time, whereas whole life insurance covers you your entire life. (Option A)

Insurance is when a third-party (the insurer) promises to indemnify another party (the insured) for losses they might suffer in the future in exchange for agreed upon payments.

Permanent life insurance is a type of insurance that provides a coverage that never expires. The person with a permanent life insurance is covered until he or she passes on. Whole life insurance is a type of permanent life insurance that has a fixed and guaranteed premium and a fixed death benefit.

Term life insurance is a type of insurance that provides coverage to a person only for a scheduled period of time. For example, a person who buys a 10 year term life insurance, the person's insurance only lasts for 10 years. If the person passes on within the 10 years, his beneficiary receives payments. If the person passes on after 10 years, his beneficiary does not receive any payments.

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The equation 2•x² + 4•y² + 8•x - 16•y + F = 0, at a value of F is the graph of an ellipse when we have;

a. A value of F that results in the equation of an ellipse is; F = 23

b. A point on the ellipse is ((-2), 2.5)

The equation of an ellipse can be presented as follows;

[tex] \frac{(x - h) ^{2} }{ {a}^{2} } + \frac{(y - k) ^{2} }{ {b}^{2} } = 1[/tex]

The given equation can be presented as follows;

2•x² + 4•y² + 8•x - 16•y + F = 0

Collecting like terms, gives;

2•(x² + 4•x) + 4•y² - 16•y + F = 0

Adding a constant value to both sides, we get;

2•(x² + 4•x + 4) + 4•y² - 16•y + 16 + F = 24

2•(x + 2)•(x + 2) + (2•y - 4)•(2•y - 4) + F = 24

2•(x + 2)² + 4•(y - 2)² + F = 24

2•(x + 2)² + 4•(y - 2)² + F - 23 = 24 - 23 = 1

When F = 23, we have;

2•(x + 2)² + 4•(y - 2)² + 23 - 23 = 1

Which gives;

[tex] \mathbf{\frac{(x + 2) ^{2} }{ \left( {\frac{1}{ \sqrt{2} }} \right)^{2}} + \frac{(y - 2) ^{2} }{ \left( {\frac{1}{ 2} } \right)^{2}} } = 1[/tex]

Where;

b) A point on the ellipse can be found as follows;

When x = -2

2•((-2) + 2)² + 4•(y - 2)² = 1

0 + 4•(y - 2)² = 1

y - 2 = √(1/4) = 1/2

A point on the ellipse is therefore;

When y = 2

2•(x + 2)² + 4•(2 - 2)² = 1

2•(x + 2)² + 0 = 1

2•(x + 2)² = 1

(x + 2)² = 1/2

x + 2 = √(1/2)

x = √(1/2) - 2

Another point on the ellipse is therefore;

((√(1/2) - 2), 0)

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The correlation based on the computation is 0.97.

It should be noted that the question is that we should simply calculate the correlation which is r.

The correlation will be:

= Σ(x y) / (Σ(x²) × Σ(y²)

= 9627/✓(1118 × 87982)

= 9627 ✓98363876

= 9627/9917.86

= 0.97

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Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

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The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of a cone with radius (r) and slant height (l) is:

S.A = πr(r + l)

Given that r = 4, l = 5, hence:

S.A = π(4)(4 + 5) = 36π m²

The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

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Answer:

36π m2

Step-by-step explanation:

Answer:

a: Angle EBD

b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD

c: Arc EDC

d: 80 degrees

e: 180

Step-by-step explanation:

An inscribed angle is an angle with all 3 points on the circumference of a circle.

A semicircle is half a circle

A major arc is an arc greater than 180 degrees

The inner angle is 80 degrees

Arc BCD is half a circle so its 360/2=180 degrees

Answer:

The ladder is 98 inches tall in inches.

Step-by-step explanation:

⇒ 8 (feet)  × 12 (inches)  = 96 inches

⇒ Add the extra 2 inches

⇒ 98 inches tall.

Based on the number of goals scored in the football matches, the mode is 4 goals. The median is 3 goals and the mean goals scored is 2.6 goals.

The mode is the number of goals that was scored in the most matches. This number is 4 goals as this was scored in 6 matches.

To find the median, order the numbers:

0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6

The median is:

= (3 + 3) / 2

= 3

The mean is:

= (0 + 0 + 0 + 0 + 1 + 1 + 2 +2 +2 + 3 + 3 + 3 + 4 + 4+ 4 + 4 +4 + 4 + 5 + 6) / 20

= 2.6 goals

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1) This is a Two tailed Test.

2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.

3) P-value = 0.00968764 and so we reject H₀

We are given the hypothesis as;

Null Hypothesis; H₀: m₁ = m₂

Alternative Hypothesis; H₁: m₁ ≠ m₂

1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.

2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;

If the p-value is greater than 4% fail to reject H₀.

3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;

z = 2.5868

4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.

5) P-value = 0.00968764

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The two sets of parametric equations for the rectangular equation are;

It follows from the task content that the parametric equations can be determined as follows;

By substituting the x= t+6 into the rectangular equation; we have;

y = (t+6-6)²-7(t+6)

y = t²-7t-42.

By substituting the x= 7t into the rectangular equation; we have;

y = (7t-6)² -7(7t)

y = 49t² - 84t +36 - 49t

y = 49t² - 133t +36.

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Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

Herein we have a description of an irregular quadrilateral, whose area must be determined by adding the areas of minor quadrilaterals and triangles that are part of it. The area is now determined:

A = 0.5 · (24 cm) · (7 cm) + 0.5 · (15 cm) · (20 cm)

A = 234 cm²

The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

The picture with the quadrilateral is missing and is included as attachment.

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Answer: Scott - 18, Kaitlin - 9, Bill - 54

Step-by-step explanation:

Let's view this as units. There are a total of 81 units. If we solve for Scott's orders:

Kaitlin served 9 fewer orders than Scott. We add 9 to 81 --> 9 + 81 = 90.

Now if we view Scott's orders as one unit:

Scott - 1 unit

Kaitlin (after adding 9) - 1 unit

Bill - 3 units (he served 3 times as many orders as Scott)

In total there are 3 + 1 + 1 = 5 units.

90 / 5 = 18.

Therefore, Scott served 18 orders.

18 - 9 = 9.

Kaitlin served 9 orders.

18 x 3 = 54.

Bill served 54 orders.

And to check our answer, 54 + 18 + 9 is 81.