f ( x ) = 12 ( 7 ) x using base e

The number of comedy DVDs will be equal to 604.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.

The number of comedy DVDs will be calculated as,

N = ( 1830 x 33%)

N = (1830 x 33 ) / 100

N = 604

Therefore, the number of comedy DVDs will be equal to 604.

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Answer:

465??

Step-by-step explanation:

Step-by-step explanation:

Im gonna do that now, I'm not very sure how to do it, but I'll try my best

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

domain is x and range is y

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

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.

Answer:

10 cm

Step-by-step explanation:

2/10=x/50

cross multiply

2*50=x*10

100÷10=x

x=10

Answer:

  $625,000

Step-by-step explanation:

The maximum revenue will be found where the derivative of the revenue function is zero.

  r'(x) = 50 -2x = 0

  50 = 2x

  x = 25

When 2500 gallons are sold, the revenue is ...

  r(25) = 50(25) -25(25) = (50 -25)(25) = 25(25) = 625 . . . thousands

The maximum revenue is $625,000.

Answer:

B. The type II error in this context is when the agency concludes that the program does not increase the recycling rate, when in fact it does increase the rate. This consequence of this error is that the agency will not implement a program that could have increased the water bottle recycling rate.

The value of a is 3√2 when the two geometric sequences of positive real numbers of 6, a,b and 1/b, a,54.

A sequence of the numbers in which all the numbers are arranged in such a manner so that the ratio of two successive numbers is always constant,

The geometric progression and the constant ratio are known as the common ratio (r).

A general G.P. can be represented as:

a,ar,ar²,ar³,...............,arⁿ⁻¹,........

Where a=First term, r is the Common ratio and the n=Number of terms.

The nth term of a G.P.:

an=arⁿ⁻¹

Some of the infinite terms of a G.P.:

S∞=a/1−r

Here  r<1

Let:

\(a_n=a_1q^n^-^1\\a_n_-_1=a_1q^n^-^2\\a_n_+_1=a_1q^n\)

Now multiply the last two equations:

\(a_n_-_1 a_n_+_1=a_1q^n^-^2a_1q^n\\\\a_n_-_1 a_n_+_1=a_1^2+q^n^-^2q^n\\\\a_n_-_1 a_n_+_1=a_1^2+q^n^+^n^-^2\\\\a_n_-_1 a_n_+_1=a_1^2+q^2^n^-^2\\\\a_n_-_1 a_n_+_1=a_1^2+q^2^(^n^-^1^)\\\\a_n_-_1 a_n_+_1=a_1^2+q^(^n^-^1^)^2\\\\\sqrt{a_n_-_1 a_n_+_1} =a_1^2+q^(^n^-^1^)\\\\\sqrt{a_n_-_1 a_n_+_1}=a_n\)

Formula:

\(a_n=\sqrt{a_n_-_1a_n_+_1}\)

a=√6b-----(1)

a=√1/b*54----(2)

By Equalating both equations:

6b=√1/b*54

b²=54/6

b²=9

b=3

substitute the b value in equation(1)

a=√6b

a=√6*3

a=√18

a=3√2

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The cost of 12 units sold is $126 .

FIFO is the short form for the accounting method First in First Out , The inventory that has entered first will be exited first .

It is given that

On August 1, the company had 6 items of beginning inventory with a cost of $7 per unit.

On August 3, the company purchased 16 units at $14 per unit.

on August 5, the company sold 12 units

The units that will be sold first will be the those that have taken in first

$7 * 6 + $14* 6

42 + 84

$126

Therefore the cost of 12 units sold is $126 .

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Answer:

c=6d

Step-by-step explanation:

The function\(f(x)\) is continuous at \(x = -1.\)

We must demonstrate the following to establish that the function \(f(x) = (x+3x5)4\) is continuous at \(a=-1\)

if\(x -1\), then\(f(x) = f (-1)\)

\(f(-1) = (-1 + 3(-1)^5)^4 = (-1 - 3)^4 = 16\)

The phrase \(lim x -1\)f can then be made simpler using the properties of limits (x). The formula for binomial expansion allows us to express \(f(x)\) as follows:

\(f(x)=x4 + 12 + 9 + 54 + 13 + 108 + 81\)

Next, we have

\(lim x → f(x) = -1 lim x (x4 + 12x9 + 54x13 + 108x17 + 81x21) - 1 = lim x -1 x^4 + lim x → -1 12x^9 + lim x → -1 54x^13 + lim x → -1 108x^17 + lim x → -1 81x^21 \s= (-1) (-1) ^4 + 12(-1)^9 + 54(-1)^13 + 108(-1)^17 + 81(-1)^21 \s= 1 - 12 + 54 - 108 + 81 \s= 16\)

Therefore, since \(lim x → -1 f(x) = f(-1)\), the function \(f(x)\) is continuous at\(x = -1.\)

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Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

The scientific notation of the expression is as follows:

The proper format for scientific notation is a x 10ᵇ where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Scientific notation is a special way of writing numbers.

The expression can be express in scientific notation as follows:

Therefore,

(7 × 10⁻⁶) (7 × 10⁻⁶)

Hence, we have to multiply the integers and add the exponents as follows:

(7 × 7) × (10⁻⁶. 10⁻⁶)

49 × 10⁻⁶⁻⁶

49 × 10⁻¹²

4.9 × 10⁻¹¹

Hence, the second can be express in scientific notation as follows:

(3.76 × 10⁵) + (7.44 × 10⁵)

(3.76 + 7.44) × 10⁵

11.2 × 10⁵

1.12 × 10⁵⁺¹

1.12 × 10⁶

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The radius of the ball will be;

⇒ r = 5.66 inch

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The formula is,

⇒ r = √ S / 12.6

Where, 'r' is radius and 'S' is surface area.

Now,

A ball has a surface area of 403.2 square inches.

Hence, The radius of ball is,

⇒ r = √ S / 12.6

⇒ r = √ 403.2 / 12.6

⇒ r = √32

⇒ r = 5.66 inch

Thus, The radius of the ball will be;

⇒ r = 5.66 inch

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Answer:

Step-by-step explanation:

The two congruent sides make the triangle isosceles.

Answer:

8 cm

Step-by-step explanation:

Using the Pythagorean theorem, we can confirm that this is a right-angled triangle:

6² + 8² = 36 + 64 = 100

10² = 100

Since 6 cm and 8 cm are the lengths of the other two sides, we can use the Pythagorean theorem again to find the length of the altitude drawn from the right angle to the hypotenuse. Let h be the length of the altitude:

h² + 6² = 10²

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = 8

Therefore, the length of the altitude drawn from the right angle to the hypotenuse is 8 cm.

Answer:

120 ft²

Step-by-step explanation:

first of all we need to fine the area of the triangular sides

base = 6ft

height = 4ft

formula for area of the triangle is:

½×base×height

= ½ × 6 × 4

= 3×4 = 12ft²

therefore, the area of both the triangles is (12×2) = 24ft²

area of the base of the prisim is:

length × breadth

= 6 × 6 = 36ft²

area of the other two sides

length × breadth

= 5 × 6 = 30ft²

therefore, the area of both the sides is (30×2) = 60ft²

adding up all the values we get:

24 + 36 + 60 = 120ft²

An example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

An example of "an enumeration of its range {aξ : ξ < α}" can be found in the context of ordinal numbers.

Let's consider the ordinal number α = ω^2, where ω represents the first infinite ordinal (the set of all natural numbers). In this case, the range {aξ : ξ < α} refers to the collection of all ordinal numbers that are less than α.

The ordinal numbers less than ω^2 can be enumerated as follows:

a0 = 0

a1 = 1

a2 = 2

...

an = n

...

Each natural number n corresponds to an ordinal number less than ω^2. The enumeration continues indefinitely, as there are infinitely many ordinal numbers less than ω^2.

So, an example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

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Answer:

Step-by-step explanation:

area of trapezium ABCD

=(16.5+12)/2 \times 15

=(28.5)/2 \times 15

=213.75 cm^2

\(\frac{PQ}{DC} =\frac{8}{12} =\frac{2}{3}\)

Area of PQRS

=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2

area of green portion=213.75-95=118.75 cm²

Answer:

D. 720cm squared is the answer

We must add the relevant components of each of the three vectors, X1, X2, and X3, in order to resultant vector the final vector XR, which has the components (1, -5)m.

R = A + B. Equation 2 To create the resultant vector, opposing vectors are subtracted from one another. R is the resulting vector in this case, and the column B is directed in the opposite direction to a vector A.

We must add the relevant components of each of the three vectors, X1, X2, and X3, in order to resultant vector the final vector XR, which has the components (1, -5)m.

To find the resultant vector, we need to add the corresponding components of the three given vectors. So, we have:

XR = X1 + X2 + X3

XR = (-2,0) m + (0,-5) m + (3,0) m

XR = (-2+0+3, 0+(-5)+0) m

XR = (1, -5) m

Therefore, the resultant vector XR is (1, -5) meters.

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Complete question -

Add the following three vectors to find the resultant vector, XR:

X1 = (-2,0)m, X2= (0,-5,)m, x3 = (3,0)m

Answer: y = 39x +2

Step-by-step explanation: -6x^2 is equal to -6x-6 which is 36x + 3x is 39x, add the 2 and you get 39x +2.

Answer:

200

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Google told me that 20% of 1000 is 200

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Answer: 3.12

Step-by-step explanation:

Answer

The actual distance of the street is

Library= 875 feet

Train station = 1000 feet

Townhall = 1,125 feet

Step-by-step explanation:

The initial distance of the streets from the school is given as

Library = 3.5cm

Train station = 4cm

Townhall = 4.5cm

The scale drawing of the map is given as 2cm: 500ft

For library

The initial distance = 3.5cm

The scale drawing on the map is 2cm : 500ft

The real distance can be calculated as follows

Let the distance be l

2 = 500

3.5 = l

Cross multiply

2*l = 500 * 3.5

2l = 1750

Divide through by 2

2l/2 = 1750/2

l = 875 ft

The library is 875 feet far from school to the library

For Train station

Let the distance in feet be t

The initial distance is 4cm

2 : 500

4 : t

Cross multiply

2*t = 500 * 4

2t = 2000

Divide through by 2

2t/2 = 2000/2

t = 1000

The train station is 1000 ft far from the school

For townhall

Let h represents the distance of the town hall

The initial length is 4.5 cm

2 =500

4 = h

Cross multiply

2 * h = 4.5* 500

2h = 2250

Divide through by =

2h/2 = 2250 /2

h = 1, 125 feet