Elijah is designing a bathroom. There are 5 different bathtubs and 2 different sinks to choose from. How many different bathrooms can Elijah design?

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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As the coefficient of the cubic polynomial is positive its behavior as

x ⇒ ∞ is (D) y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

We know a polynomial end behavior is determined by the degree of the polynomial.

Given a function is a cubic polynomial which is of degree 3 and the coefficient is positive.

As the coefficient is positive the function f(x) will reach infinity as x approaches infinity.

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Answer:

22.50/1.25=18

Step-by-step explanation:

if he paid 22.50 in total and each ride cost 1.25 then you would just have to do 22.50 divided by 1.25 which would get you 18

Answer:

$4.50 for 150 papers

Step-by-step explanation:

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  \(A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0\)

⇒  \(A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0\)

⇒  \(A = 10000\times 16.4436\times \frac{0.3066}{23.1148}\)

⇒      \(= 10000\times 16.4436\times 0.0132\)

⇒      \(=2180.81\) ($)

Answer:

True

Step-by-step explanation:

Ok im not sure but here is my answer.

He has $75 and he made 3 withdrawls of 18 dollors so

add 18 3 times

18+18+18=54 dollors

54 is less than 75 so the statment is true

Answer:

the answer is 13.73 %

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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The value of x is 15 inches, we find this by Pythagoras theorem and property of isosceles triangle.

Pythagoras theorem states that sum of square of base and square of perpendicular is equal to square of hypotenuses.

So , it can be formula is given below ,

  \(perpendicular^{2} + base^{2} = hypotenuse^{2}\)

And In ab isosceles triangle two equal side vertex divide base in two equal parts.

So, here base = 40.

Therefore it is divided in 20-20 inches,

Now putting the formula of Pythagoras theorem, we get

\(20^{2} + x^{2} = 25^{2}\)

\(x^{2} = 25^{2} - 20^{2}\)

\(x^{2} = 225\)

So we get, x = 15 inches.

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The degree of the equation is one. Then the equation y = (9/5)x is a linear equation.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation is given below.

y - x = 2x - (2/3)y

Simplify the equation for y, then we have

y + (2/3)y = 2x + x

(5/3)y = 3x

y = (9/5)x

The degree of the equation is one. Then the equation y = (9/5)x is a linear equation.

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Answer:

Its B

Step-by-step explanation:

Linear funtions need 1 x value for every y value so its B

Answer:

2

Step-by-step explanation:

5 weeks divded by 15 chapters times 6 chapters = 2 weeks

If antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

Given that antique has a price tag of $467 and sales tax rate be 9%.

We are required to find the amount of sales that will be due.

A sales tax is basically a tax paid to a governing body for the sales of certain goods and services.

Sales=$467

Sales tax rate=9%

Sales tax=467*9/100

=4203/100

=$42.03

Hence if antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

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Answer:

-5m-14

Step-by-step explanation:

-8M-8+3M-6

Add -8m and 3m, -8 + 3m = -5m

Next add negative 8 and 6, -6 + -8 = -14

Lastly, put it together,  -5m -14.

Hope that helps!

We know that the reflection of the point (x,y) across the y-axis is the point (-x,y). In this case, we have:

Therefore, the reflection across the y-axis of the point (-8,1) is the point (8,1).

The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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

5y+4= (x+3)²+12

Swap x and y in the equation

So, we have

5x + 4= (y + 3)² + 12

When we make the vairiable y the subject, we have

y = -3 ± √(5x - 8)

Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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The total number of lattice points on the graph of x²+y²+11x-13y+73=0 is 0.

A point in a regularly spaced array of points, known as a point lattice, that is at the intersection of two or more grid lines is referred to as a lattice point.

Since in a Cartesian coordinate system, a lattice point is a point whose x-coordinate and y-coordinates are both integers. Therefore, it a defined point on the plane with both the coordinates known.
Further, if the given set of equation or function is plotted on the graph, then the graph of the function does not exist in the xy-plane.

Hence, there will be no lattice points on the given graph.

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Long division technique exists utilized for dividing one number by another number.

The first number, 46 exists named the dividend.

The second number, 296 exists named  the divisor.

Therefore, 46 divided by 296, the final solution exists at 0.

Step 1: Take the first digit of the dividend from the left. Check if this digit exists greater than or equivalent to the divisor.

Step 2: Then divide it by the divisor and write the solution on top as the quotient.

Step 3: Subtract the outcome from the digit and write the difference below.

8

Given:

The first number, 46 exists named the dividend.

The second number, 296 exists named  the divisor.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, then  

2 9 6 ⟌ 4p 6

We can work out that the divisor (296) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

       0    

2 9 6 ⟌ 4 6

If we multiply the divisor by the result in the above step (296 x 0 = 0), we can now add that answer below the dividend:

       0    

2 9 6 ⟌ 4 6

      0    

subtract the outcome from the above step from the second digit of the dividend (4 - 0 = 4)

       0    

2 9 6 ⟌ 4 6

   -         0  

  ------------------------------------------

             4    

Move the second digit of the dividend (6) down like so:

       0    

2 9 6 ⟌ 4 6

   -         0  0

  ------------------------------------------

             4 6

The divisor (296) goes into the bottom number (46), 0 time(s), so we can put 0 on top:

       0  0  

2 9 6 ⟌ 4  6

   -         0  0

  ------------------------------------------

             4 6

Multiply the divisor by the result in the above step (296 x 0 = 0), we can now add that answer below the dividend:

       0 0  

2 9 6 ⟌ 4 6

   -         0  0

  ------------------------------------------

             4 6  

                                        0

subtract the result from the above step from the third digit of the dividend (46 - 0 = 46) and write that solution at the bottom:

       0 0  

2 9 6 ⟌ 4 6

   -         0  0

  ------------------------------------------

             4 6  

                                        0

------------------------------------------  

             4 6  

Therefore, 46 divided by 296, the final solution exists at 0.

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Given:

The quantity of products sold is n = 20000.

The cost of the product is C = $687000.

Expected profit amount is P = $1,030,000.

The objective is to find the selling price for each product.

Explanation:

Consider the selling price for each product as S, and the formula for revenue of the company is given as,

Similarly, the formula for profit is given as,

Substitute the value of equation (1) in equation (2).

To find S :

On plugging the given values in equation (3),

Hence, the selling price of each product is $85.85.

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

3.5 km

Step-by-step explanation:

Answer:  Vertex is (0,8)        

The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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Answer:

45

Step-by-step explanation:

the slope is 8/3 so you can use y = 8/3x

make the y-value equal to 120

120 = 8/3x

cross-multiply to get:

8x = 360

x = 45

Answer:

p=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

p+19=51

p=51-19

p=32

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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