Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?

Answer:

Rectangular Prism Volume = \(210cm^{3}\)

Total Volume of Composite Figure = \(247.68cm^{3}\)

Answer:

194 square units

Step-by-step explanation:

perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.

Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height

Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.

Area = (L + 16) / 2 * 22

We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.

L² = (8 + 4)² = 64

L = 8

Now we can use the formula for the area of a trapezoid to find the total area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

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An opportunity cost of 9 percent, is $42.

We have given that,

The present value of $100 is to be received 10 years from today,

assuming an opportunity cost of 9 percent,

present value =$100

N=10 years

I/y=9

PV= FV/(1+r)^n

Where FV is the future value.

Use the given values in the formula we get,

Therefore the correct answer is 42.

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Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

The square of the side of the square figure gives the area, as all the sides of this shape that is a square are equal.

What is the area of the square?

Area of a Square = Side × Side.

Therefore, the area of square = \(Side^{2}\) square units.

Here one side of the square is \(3\) inches

So, the general formula of the area of the square is

Area of a Square = Side × Side.

Substituting the given value in the general formula

Area of a Square = \(3\)×\(3\)

Area of a Square =\(9\) inches square

Hence, the area of a square is \(9\) inches square.

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Answer: 40.16

Step-by-step explanation:

The length of the side AC will be 12.28 units. The correct option is C.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the hypotenuse of the triangle is 42 and the angle B is 17 degrees.

The side AC will be calculated as below:-

sin(47) = P / 42

AC = 42 x sin42

AC = 12.27

Therefore, the length of the side AC will be 12.28 units. The correct option is C.

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The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.

From the illustration:

Total number of students = 400

Number of students that do not walk and do not have a lunchbox = 113

Percentage component = number of component/total number x 100

Thus:

Percentage of students who do not walk to class and do not have a lunchbox:

  = 113/400 x 100%

  = 28.25 %

To the nearest hundredth = 28.25%

In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.

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Answer:

Your Answer Is 60

Step-by-step explanation:

I Took The Test Just Now

The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!. Here, n is the number of objects.

A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.

The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,

\(n=4\times5\times3\\n=60\)

Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

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Answer: x=35

Step-by-step explanation:

false

it is a decimal not a fraction

Answer: 60

Step-by-step explanation:

1. You can multiply 2*30 to get 60 and with 4 you can do 4*20 would equal 60

2. 120/60 would equal 2 so it would not have any decimals so this shows it is 60.

Answer:76

Step-by-step explanation:

Answer:

\(x \geqslant 4\)

Step-by-step explanation:

1) Add 9 to both sides.

\(5x \geqslant 11 + 9\)

2) Simplify 11 + 9 to 20.

\(5x \geqslant 20\)

3) Divide both sides by 5.

\(x \geqslant \frac{20}{5} \)

4) Simplify 20/5 to 4.

\(x \geqslant 4\)

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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According to probability, the answer to the question is that an average surgeon performs 8 operations, of which 5 are successful. 18.9%.

In a fixed number of independent trials, each of which can only have one of two outcomes—success or failure—the number of successes is expressed as a probability distribution known as a binomial probability. Additionally, it is presummated that each trial has an equivalent chance of success.

The binomial probability formula can be used to determine the likelihood that a surgeon will perform 5 successful operations out of 8 given that each operation has a 92% chance of being successful.

You may find the binomial probability formula by using:

\(P(X = k) = C(n, k)*p^k*(1 - p)^{(n - k)}\)

Where:

P(X = k) is the likelihood that, out of n surgeries, exactly k will be successful.

The binomial coefficient, C(n, k), is defined as the number of ways to select k successful operations among n surgeries C(n, k) = n! / (k! * (n - k)!), where ! denotes factorial.

p is the likelihood that a single surgery will succeed (92% in this case, or 0.92).

The number of successful operations that interests us is k.

The total number of operations is n, which in this case is 8.

By entering the values, we can determine the probability using the formula below:

P(X = 5) = C(8, 5) * 0.92⁵ * (1 - 0.92)⁽⁸⁻⁵⁾

C(8, 5) = 8! / (5! * (8 - 5)!) = 56

0.92⁵ = 0.659

(1 - 0.92)³ = 0.512

P(X = 5) = 56 * 0.512 * 0.659 = 18.89 or 18.9%

Given a 92% success rate for each surgery, the likelihood that a surgeon will perform 5 successful operations out of 8 is roughly 18.9%.

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Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar \(\lambda\)  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix \(A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]\)

Thus, the equation of the determinant (A - \(\lambda\)1) = 0

This implies that:

\(\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0\)

\(-(1 - \lambda^2 ) + 2 = 0\)

\(-1 + \lambda ^2 + 2= 0\)

\(\lambda^2 +1 =0\)

Hence, the eigenvalues of the equation are \(\mathtt{\lambda = i , -i}\)

Also, the eigenvalues can be said to be complex numbers.

Answer:2x+1

Step-by-step explanation:

The penguins swam 12/5 miles in one hour

The number of miles swam in 1/3 hours = 4/5

The number of miles swam in 1 hour = 4/5 ÷ 1/3

The number of miles swam in 1 hour = 4/5 x 3

The number of miles swam in 1 hour = 12/5

The penguins swam 12/5 miles in 1 hour

The complete table is shown below:

Answer: She bought 6 packs of candy

Step-by-step explanation:

she spent $16

$16-$5.50=$10.5

$10.5/$1.75=6

6 x $1.75=$10.5

Answer:

3% = 56

100% = ?

Rule of three:

56 x 100

—————

3

Answer = 1,866.667 ≈ 1.867

Step-by-step explanation:

dont mind the answer below have a great day ______

                                                                                            \|/            

Answer:

SIMPLIFY:

1.4x + 5x=9x

2.7y - 2y=5y

3.8 X a=8a

Step-by-step explanation:

1.4+5=9 and then just add X

2.7 - 2=5 and then just add y

3.8 X a=8a cause in the question there is no value of a

hope this help :)