The drama club spent a total of 40 hours practicing for the school play. 10% of the time was spent doing dress rehearsals. How many hours did the drama club spend doing dress rehearsals?
Pick the model that represents the problem

Answer:

her 9PM and a lot are a little too short

The value of p is $ 6.75.

It is given in the figure that the price of 6 apples in the grocery store is $ 4.50.

We have to find the value of p which is the price of 9 apples.

By unitary method, we can write,

Price of 1 apple = 4.5/6 = 3/4 =  $ 0.75.

Hence,

Price of 9 apples = 0.75*9 = 6.75 dollars  

Hence, the value of p is $ 6.75.

Unitary method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

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Answer:

Here is the answer, I took it as simple I could.

Answer:

A

Step-by-step explanation:

Because there are a same number of boys and girls, the odds are 20:20 which can be simplified to 1:1

Hope that helps

Once again the answer is A

Bye have a great time :D

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

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The second partial derivatives of the function f(x, y) = ln (1 + x²y³) is  [6xy² - 6x³y⁵]/[(1 + x²y³)²]  and mixed partial derivatives f{xy} and f{yx} are equal

Function is equal to,

f(x, y) = ln (1 + x²y³)

The second partial derivatives, first find the first partial derivatives.

fx = (2xy³)/(1 + x²y³)

fy = (3x²y²)/(1 + x²y³)

Then, find the second partial derivatives.

f{xx} = [(2y³)(1 + x²y³) - (4x²y⁶)]/[(1 + x²y³)²]

f{yy} = [(6x⁴y⁴)(1 + x²y³) - (9x²y²)(x²y³)]/[(1 + x²y³)²]

f{xy} = f{yx} = [(6xy²)(1 + x²y³) - (6xy²)(x²y³)]/[(1 + x²y³)²]

Simplifying f{xx}, we get,

f{xx} = [2y³ + 2x²y⁶ - 4x²y⁶]/[(1 + x²y³)²]

f{xx} = [2y³ - 2x²y⁶]/[(1 + x²y³)²]

Simplifying f{yy}, we get,

f{yy} = [6x⁴y⁴ + 6x⁶y⁷ - 9x⁴y⁵]/[(1 + x²y³)²]

f{yy} = [6x⁴y⁴ - 9x⁴y⁵ + 6x⁶y⁷]/[(1 + x²y³)²]

Simplifying f{xy}, we get,

f{xy} = [(6xy² - 6x³y⁵)]/[(1 + x²y³)²]

f{xy} = [6xy² - 6x³y⁵]/[(1 + x²y³)²]

Since f{xy} = f{yx},

f{xy} = [6xy² - 6x³y⁵]/[(1 + x²y³)²]

       = [6xy² - 6x³y⁵]/[(1 + x²y³)²]

       = f{yx}

Therefore, the mixed partial derivatives f{xy} and f{yx} are equal.

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Answer:

but there's nothing on the picture only the color black .........

A step that is not performed in the process of solving n² - 12n - 10 = 0 by completing the square is: C. Factor n² - 12n - 10 = 0.

In order to solve the given quadratic equation, we would use the completing the square method as follows;

n² - 12n - 10 = 0

By keeping x terms on the left-hand side of the quadratic equation, we would move the constant term to the right-hand side of the quadratic equation by adding 10 on both sides as follows;

n² - 12n - 10 + 10 = 0 + 10

n² - 12n = 10

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

n² - 12n + (12/2)² = 10 + (12/2)²

n² - 12n + 36 = 10 + 36

n² - 12n + 36 = 46

(n - 6)² = 46

By taking the square root of each side, we have:

n - 6 = ±46

n = 6 ±46

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Complete Question:

Which step is NOT performed in the process of solving n² - 12n - 10 = 0 by completing the square?

Add 10 to each side

Add 36 to each side

Factor n² - 12n - 10 = 0

Take the square root of each side

1. The final amount is $936 and the simple interest is $216.

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

1. Using the formula for simple interest:

Simple Interest = (Principal * Rate * Time)

Where:

Principal = $720

Rate = 6% = 0.06

Time = 5 years

Simple Interest = ($720 * 0.06 * 5) = $216

To find the final amount, we can add the simple interest to the principal:

Final Amount = Principal + Simple Interest = $720 + $216 = $936

Therefore, the final amount is $936 and the simple interest is $216.

Similarly,

2. The simple interest for a principal of $720, an interest rate of 6%, and a time period of 5 months is $18.

3. The simple interest for a principal of $720, an interest rate of 6%, and a time period of 5 days is $0.59.

4. Simple Interest is $506.11 and the Final Amount is $6,398.26.

5. The simple interest is $593.19 and the final amount is $27,561.63.

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Answer:

b and d

Step-by-step explanation:

translation is just a fancy word for moved around so pick all of the letters that are the same shape and the same degree of rotation but in a different spot which is b and d

The radius of the circular track when the circumference is 0.3 miles is 252.23 feet.

What is meant by circumference?

All points in a plane that are at a specific distance from a specific point, the centre, form a circle. The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.

It is given that the track is circular in shape.

The distance around the track is then the circumference of the circle.

This distance is given as 0.3 miles.

If r is the radius of the track, then

circumference = 2 * π * r

0.3 = 2 * 3.14 * r

r = 0.0478 miles

Now 1 mile = 5280 feet

Then,

0.0478 miles = 0.0478 * 5280 = 252.38 feet.

From the options, the closest value is 252.23 feet.

Therefore the radius of the circular track when the circumference is 0.3 miles is 252.23 feet.

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Answer:

The radius of the circular track when the circumference is 0.3 miles is 252.23 feet.

Step-by-step explanation:

Answer:5 votes

Step-by-step explanation:

25% of 20=

(25:100)*20=

(25*20):100=

500:100=5

Every day, the mass of the sample shrinks by a factor of 0.04.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The growth or decay of an exponential function depends on the parameter b as follows:

The decay factor k of the exponential function, when |b| < 1, is obtained as follows:

b = 1 - k

k = 1 - b.

The parameter b for this problem is given as follows:

b = 0.96.

Hence it represents decay, and the factor is obtained as follows:

k = 1 - 0.96

k = 0.04.

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Answer:

- $ 2.87

Step-by-step explanation:

The price after 17 hours would have dropped more than what the stock was originally worth.  So depending on whether we are talking about the real world or not, the stock would be worth $0

If you are just looking at the numbers, the stock would drop $ 27.88 after 17 hours.  The original prices was $ 25.01 so the value now would be

- $ 2.87

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

The determinant of the linear transformation t(f)=2f 3f' from p2 to p2 is 36.

To find the determinant of the linear transformation t(f)=2f 3f' from p2 to p2, we first need to represent the transformation as a matrix.

Let's start by choosing a basis for p2, say {1,x,x²}. Then, the linear transformation t can be represented by the matrix

[2 0 0]
[0 3 0]
[0 0 6]

To find the determinant of this matrix (and hence the determinant of the linear transformation), we can use the formula for the determinant of a 3x3 matrix:

det(A) = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)

Plugging in the entries of our matrix, we get:

det(t) = 2(3×6 - 0×0) - 0(2×6 - 0×0) + 0(2×0 - 3×0)
      = 36

Therefore, the determinant of the linear transformation t(f)=2f 3f' from p2 to p2 is 36.

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Answer:

what do you want to do with this

Step-by-step explanation:

Answer:

\(y^2+x^2=9\)

Step-by-step explanation:

Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.

Two lines of slopes m1 and m2 are perpendicular if:

m1*m2=-1

The slope of the line passing through P(x,y) and A(3,0) is:

\(\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}\)

The slope of the line passing through P(x,y) and B(-3,0) is:

\(\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}\)

Substituting in the equation:

\(\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1\)

Operating:

\(\displaystyle \frac{y^2}{(x-3)(x+3)}=-1\)

\(y^2=-(x-3)(x+3)\)

\(y^2=-(x^2-9)\)

\(y^2=-x^2+9\)

\(\boxed{y^2+x^2=9}\)

The locus is a circle centered at the origin with radius 3

Answer:

-2x + 8

Step-by-step explanation: yw

Answer:

THE OTHER ANSWER IS CORRECT

Step-by-step explanation:

The value of solution of the expressions are,

⇒ 84.05

We have to given that;

The expression is,

⇒ (8 × 10) + (4 × 1) + (5 × 1/00)

Now, We can simplify as;

⇒ (8 × 10) + (4 × 1) + (5 × 1/100)

⇒ 80 + 4 + (5 × 0.01)

⇒ 84 + 0.05

⇒ 84.05

Thus, the value of solution of the expressions are,

⇒ 84.05

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The equivalent of the quotient expression 5/3-i is 1.5 + 0.5i

From the question, the expression is given as

5/3-i

Rewrite the above expression properly

So, we have

5/(3 - i)

Rationalize the above expression

So, we have the following equation represented as

5/(3 - i) = 5/(3 - i) * (3 + i)/(3 + i)

Evaluate the products in the above equation

So, we have

5/(3 - i) = (15 + 5i)/(9 + 1)

Evaluate the difference and the sum

5/(3 - i) = (15 + 5i)/10

Divide

5/(3 - i) = 15/10 + 5i/10

So, we have

5/(3 - i) = 1.5 + 0.5i

Hence, the equivalent expression is 1.5 + 0.5i

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Answer:

D.) u^2 - u-6 = 0 where u = (x-4)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

edge 23

The measure of the reference angle for a -284 degree angle can be determined as,

Thus, option (c) is the correct solution.

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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Answer:They do this so they can be safe from predators.

Step-by-step explanation: They make this hard layer so it can help protect the vulnerable soft parts of their body from other fish or mammals.

To determine which option gives a better chance of winning, we need to calculate the expected number of A's and B's in the 1,000 draws and compare it to the conditions for winning in each option.

Let's calculate the expected number of A's and B's:

Number of A's in "ARABIA": 3

Number of B's in "ARABIA": 1

Total number of letters in "ARABIA": 6

Probability of drawing an A: 3/6 = 1/2

Probability of drawing a B: 1/6

Expected number of A's in 1,000 draws: (1/2) * 1,000 = 500

Expected number of B's in 1,000 draws: (1/6) * 1,000 = 166.67

Now let's analyze the conditions for winning in each option:

Option A: You win a dollar if the number of A's among the draws is 10 or more above the expected number (500 + 10 = 510 or more).

Option B: You win a dollar if the number of B's among the draws is 10 or more above the expected number (166.67 + 10 = 176.67 or more).

Comparing the two options:

Option A requires having 510 or more A's out of the 1,000 draws.

Option B requires having 176.67 or more B's out of the 1,000 draws.

Since it is not possible to have a fraction of a letter, the number of B's will always be an integer. Therefore, it is impossible to reach the condition for winning in option B, as there can't be 176.67 B's.

Therefore, the correct answer is:

(i) Option A gives a better chance of winning than option B.

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Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

\(I=\dfrac{6000\times 6\times 4}{100}\)

\(I=60\times 6\times 4\)

\(I=1440\)

Now,

\(Amount=Principal+Interest\)

\(Amount=6000+1440\)

\(Amount=7440\)

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

======================================================

Explanation:

This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.

We have three different situations here

The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...

h(t) = sqrt(17t)

h(17) = sqrt(17*17)

h(17) = sqrt(17^2)

h(17) = 17

In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.