Can anyone help me with my homework

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Answer:

A.-7-100. [Since it is -107]

When the linear equations x + y = 13 and 2x + 6y = 50 are solved it is seen that there were 7 two player games and 6 six player games in the neighbourhood.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The neighbourhood holds a total of 13 games.

The number of athletes that participate is - 50

Let the number of 2 player games be x.

Let the number of 6 player games be y.

The two linear equations that depicts this situation is -

x + y = 13....(1)

2x + 6y = 50 or x + 3y = 25....(2)

Subtract equation (1) from (2) -

x + 3y - (x + y) = 25 - 13

Use the arithmetic operation of subtraction -

x + 3y - x - y = 12

2y = 12

Use the arithmetic operation of division -

y = 12/2

y = 6

Substitute the value of y in equation (1) -

x + (6) = 13

x = 13 - 6

Use the arithmetic operation of subtraction -

x = 7

Therefore, the value for x and y is obtained as x = 7 and  y = 6.

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The critical value is 2.069 and the margin of error is 1.294.

Given data:

To find the margin of error (ME) for a 95% confidence interval estimate for the population mean using the Student's t-distribution, determine the critical value (t*) and the standard error (SE).

The critical value (t*) can be obtained from the t-distribution table.

For a 95% confidence level with 23 degrees of freedom (n-1), the critical value is approximately 2.069.

The standard error (SE) is calculated using the formula:

SE = sample standard deviation / √(sample size)

\(SE = \frac{3}{\sqrt{23}}\)

Now, calculate the margin of error (ME):

ME = t* * SE

\(ME = 2.069 *\frac{3}{\sqrt{23}}\)

On simplifying the equation:

\(ME=1.294\)

Hence, the margin of error is 1.294.

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$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

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Answer:

2869.25

Step-by-step explanation:

Answer:

i think i know the answer but im not sure

Step-by-step explanation:

1/2 times 2 equal 4

A function assigns the values. The total number of cards in the table can be filled between 31 and 43.

A function assigns the value of each element of one set to the other specific element of another set.

Thomas started with 7 baseball cards and then began buying packs of 3. Therefore, we can write the function of collecting baseball cards as,

Number of cards = number of cards at initial phase + 3(Number of packs)

y = 7 + 3x

where x is the number of packs of cards bought.

Now, the number of cards can be written as,

When 8 number of packs are brought,

y = 7 + 3(8)

  = 7 + 24

  = 31

When 12 number of packs are brought,

y = 7 + 3(12)

  = 7 + 36

  = 43

Hence, the total number of cards in the table can be filled between 31 and 43.

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Answer:

PLS GIVE BRAINLIEST

Step-by-step explanation:

\(50 + 7.50x\)

1. make an equation where x represents hours

\(50 + 7.50(5)\)

2. substitute 5 for x

\(50 + 37.5\)

3. multiply 7.50 by 5

\(87.5\)

4. add 50 and 37.5 to get 87.5

Answer:

1 pound of Oranges = $2

1 pound of Bananas = $2

Step-by-step explanation:

O = Oranges

B = Bananas

=> 5o + 2b = 14

=> 2b = 14 - 5o

=> b = 14/2 - 5/2o

=> b = 7 - 2.5o

3o + 6b = 18

=> 3o + 6( 7 - 2.5o ) = 18

=> 3o + 42 - 15o = 18

=> -12o + 42 = 18

=> -12o = -24

=> -o = -2

=> o = 2

One pound of oranges costs $2.

So,

5 (2) + 2b = 14

=> 10 + 2b = 14

=> 2b =4

=> b = 2

One pound of bananas also costs $2.

Answer:

11a+5

Step-by-step explanation:

-5a-6a-3+8

=11a+5

Answer: 14.94 subscribers/year

Step-by-step explanation:

To calculate the rate of change, we need to take the first derivative of the equation:

\(y^{'} = \frac{dy}{dx} = 14.94\)

\( \sqrt{54} = \sqrt{ 2 \times3 \times 3 \times 3}\)

\( \sqrt{54} = \sqrt{ 2 \times 3} \times 3\)

\( \sqrt{54} = \sqrt{6} \times 3\)

\( \sqrt{54} = 3 \sqrt{6} \)

Answer:

Mrs. Appleton will give 4 cookies to each of her children. and 4 will be left over.

Step-by-step explanation:

24÷5 = 4

The cookies each child gets = 4.

The cookies were leftover = 4

In order to convert an improper fraction to a mixed number, we must divide the numerator by the denominator. After the division, the mixed number exists constructed in such a manner that the quotient that exists acquired becomes the whole number, the remainder evolves into the new numerator and the denominator stays exact.

Convert improper fractions to mixed numbers

Convert to mixed number = Quotient(Remainder/ divisor)

\($\frac{24}{5} = 4 \frac{4}{5}\)

Therefore, Quotient = 4

Remainder = 4

divisor = 5

Therefore, cookies were leftover = 4

cookies each child gets = 4.

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Answer:

5A, 6C*

Step-by-step explanation:

5. Required area = 2*area of triangle + area of rectangle

= 2*1/2 of bh + lw

= bh+lw

= 10.4*15.3+7*18.5

= 288.62 sq. mm

6. Required area (TOTAL surface area) = 3*area of rectangle + 2*area of triangle

= 3lw + bh

= 3* (7*24) + (24 * 20.78)

= 504 + 498.72

= 1002.72 sq. mm (*please verify it with your teacher)

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Check the picture below, so the ellipse looks more or less like so.

\(\textit{ellipse, vertical major axis} \\\\ \cfrac{(x- h)^2}{ b^2}+\cfrac{(y- k)^2}{ a^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-8\\ a=5 \end{cases}\implies \cfrac{(x-3)^2}{b^2}+\cfrac{(y-(-8))^2}{5^2}=1 \\\\\\ \stackrel{\textit{we also know that}~\hfill }{c=3\hspace{3.5em} 3=\sqrt{5^2 - b^2}} \implies 3^2=5^2-b^2\implies b=\sqrt{5^2-3^2} \implies \boxed{b=4} \\\\\\ \cfrac{(x-3)^2}{4^2}+\cfrac{(y-(-8))^2}{5^2}=1\implies \cfrac{(x-3)^2}{16}+\cfrac{(y+8)^2}{25}=1\)

Answer:

sin θ = \(\frac{\sqrt{6} }{3}\)

Step-by-step explanation:

Given that,

cos θ = \(\frac{\sqrt{3} }{3}\)

From the trigonometric functions,

cos θ = \(\frac{adjacent}{hypotenus}\)

⇒ adjacent = \(\sqrt{3}\), and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

\(/hyp/^{2}\) = \(/adj/^{2}\) + \(/opp/^{2}\)

\(/3/^{2}\) = \((\sqrt{3} )^{2}\) + \(x^{2}\)

9 = 3 + \(x^{2}\)

\(x^{2}\) = 9 - 3

   = 6

x = \(\sqrt{6}\)

Thus, opposite side = \(\sqrt{6}\)

So that,

sin θ = \(\frac{opposite}{hypotenuse}\)

        = \(\frac{\sqrt{6} }{3}\)

Therefore,

sin θ = \(\frac{\sqrt{6} }{3}\)

Answer:

Step-by-step explanation:

Starting from the right, put this into groups of three so you can see for sure where a million is.

254 212 610

A million is right where the 4 is. So use the hundred thousands (the second 2) to round to the nearest million. Since 2 is less than 5, it rounds like this.

254 000 000

The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A multiplication table.

In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.

In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.

Look at the highlighted portions in rows 3 and 6.

The common number in both sets will be 18.

The row labeled 6 is the multiplication of the row labeled 3 with 2.

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Answer: the person above is wrong

its 3, 4, 5, 6, and 7

The perimeter of the figure described in the question is 42.84cm

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

Answer:

A.

Step-by-step explanation:

Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Simple interest formula:

I = P*r*t

where I is the interest earned after t years, P is the money invested, and r is the annual rate of interest (as a decimal). Replacing with P = 50, r = 0.1 and t = 1, we get:

I = 50*0.1*1 = $5

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

$18.26

Step-by-step explanation:

The total price is $42.20

We want to know how much 1 of those books cost

We know that $5.67 were for her dog

So we are gonna subtract that from $42.20

$42.20-$5.67=36.53

Now your gonna divide that by 2 because she got 2 books

So 36.53/2=$18.26

1 book=$18.26

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Any sequence of five spins that consists only of numbers 1 and 2 would be an outcome of Event A.

From the question, we have the following parameters that can be used in our computation:

Event A = the spinner lands on numbers all less than 3

An outcome of Event A would be a sequence of five spins on the spinner that result in numbers all less than 3,

For example: 1, 2, 1, 2, 1.

See that each number in the above sequence is less than 3

Hence, the event A represents outcomes less than 3

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