As an estimation we are told that 5 miles is 8km convert 12 km to miles

The expression 11! / 9!(11-9)! evaluates to 55

The symbol ! is called factorial in mathematics.

Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.

Thus, factorial five is written as 5! meaning 5×4×3×2×1

It can also be written in shortened form as 5×4! or 5×4×3!

Let's evaluate  11! / 9!(11-9)!  now:

11! / 9!(11-9)! =  11! / 9!(2)!

                    = 11×10×9! / 9!2!

                    = 11×10/ 2                   (Note: 2! = 2×1 =2 )

                    = 110/2

                   =  55

Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1

Therefore,  the result of the evaluation of the expression 11! / 9!(11-9)! is 55

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The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere = 4/3πr³

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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Answer:

Step-by-step explanation:

dtuyhgtrfedfgrthyuj

The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.

Volume of a cylinder = πr²h

Given the parameters of the cylinder:

Volume of the cylinder = πr²h = π(6²)(18)

Volume of the cylinder = 2035.75 cm³

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Answer:

5n+8

4 times the quantity of a number and six

Step-by-step explanation:

8 more than 5 times a number

more than comes after

5 time a number

5n

8 more than

5n+8

4(n + 6)

4 times the quantity of a number and six

The computed value of a line integral, \(I = \int_C ( x \: e^y dx + x² y) dy \) is equals to the 32

The line integrals form that we can work with the involvement of rewriting in terms of a single variable. During the integrating over a path where one of the variables is constant, then that variable is not actually variable at all, and there is no need to do more. We have a line

integral is \(I = \int_C ( x \: e^y dx + x² y) dy \)

We have to determine its value along line segment x = 4

Now, the line segment is x = 4 that means, dx = 0 and 0≤y≤4. So, substitute all known values in above integral, \(I = \int_C ( x \: e^y dx + x² y) dy \)

\(= \int_{ 0}^{2} x² y dy + 0\)

\(= [ x² \frac{ y²}{2}]_{0}^{2}\)

\(= [ x² \frac{ 2²}{2} - 0]\)

\(= 2x²\)

= 2× 4² = 32

Hence, required value is 32.

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Answer:

  A = B = 45°

  x = 11√2

Step-by-step explanation:

The sides of the right triangle have equal lengths, so this is an isosceles right triangle. Its acute base angles are complementary and have the same measure: A = B = 45°.

You should know from memory that the hypotenuse of an isosceles right triangle is √2 times the side length, so would be x = 11√2. Even if you don't, you can figure it from the Pythagorean theorem:

  x² = 11² +11² = 11²·2

  x = 11√2 . . . . . take the square root

There are 308 ways to order at most one appetizer, at most one main course, and at most one dessert for lunch

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

7 different appetizers, 11 different main courses, and 4 different desserts.

The number of ways to order is the product of the dishes

So, we have the following representation

Ways = 7* 11 * 4

Evaluate

Ways = 308

Hence, the nmber of ways is 308

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Step-by-step explanation:

There are 36 inches in one yard

To get your answer, you'll multiply 313 yards by 36 inches

=313×36

=11,268

So 313 yards=11,268 inches

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Since they are 36 inches in 1 yard,  multiply 313 by 36,  So 313 yards equal 120 inches.

Its actually up the answer but 210 is correct tho

Step-by-step explanation:

I did this question and got it right so dont worry . (savvas Realize)

To find the composite function for the given functions f(x) = 4x + 4 and g(x) = x² - 9, we need to plug in g(x) into f(x).

So, the composite function of fog is:fog(x) = f(g(x))= f(x² - 9)= 4(x² - 9) + 4= 4x² - 36 + 4= 4x² - 32.

Therefore, the composite function for the given functions is 4x² - 32.

Option D is the correct answer.

To locate the relative maximum and relative minimum, we need to find the critical numbers and the second derivative of the function given.

Let's find the critical numbers. To do this, we need to find the derivative of the given function:

f(x) = x³ - 3x² - 9x + 5f'(x) = 3x² - 6x - 9

Setting f'(x) = 0, we get:

3x² - 6x - 9 = 0

Dividing both sides by 3, we get:x² - 2x - 3 = 0

Factoring the equation, we get:x² - 3x + x - 3 = 0(x - 3)(x + 1) = 0.

Therefore, the critical numbers are x = 3 and x = -1.

Let's find the second derivative of the given function:f''(x) = 6x - 6.

Now, we can use the second derivative test to find the relative maximum and relative minimum.

If f''(x) > 0 at x = a, then the function has a relative minimum at x = a. If f''(x) < 0 at x = a, then the function has a relative maximum at x = a. If f''(x) = 0 at x = a, then the test fails and we need to use another method.

f''(3) = 6(3) - 6 = 12 > 0

Therefore, f(x) has a relative minimum at x = 3.

f''(-1) = 6(-1) - 6 = -12 < 0

Therefore, f(x) has a relative maximum at x = -1.

The relative minimum is at x = 3 and the relative maximum is at x = -1.

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When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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Answer:

Step-by-step explanation:

m∠APE = 4x + 14

m∠DPE = (4x + 8) - (2x + 11) = 2x - 3

(4x+4)+(4x+8)+(4x+4)+(2x+11)+(2x-3) = 360

16x + 24 = 360

16x = 360 - 24 = 336

x = 335/16 = 21

A)  m∠APE = 4(21) + 4 = 88

B)  m∩ED = 2(21) - 3 = 39

C)  m∩BCD = (4(21) + 4) + (2(21) + 11) = 141

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

The multiplication of 2.8 by 7.47 is 20.916.

The steps needed to do the multiplication will be:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

In this case the value of 2.8 × 7.47 is 20.916.

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Answer:

A man spends 8/5 of his salary rent. If his left with & 2940. Find his salary:

Step-by-step explanation:

Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1

Composite functions is a way of substituting one function into another.

Given the function expressed as:

y = 3√x + 1

g(1) from the mapping is 0

Substitute g(1) = 0 into the given function to have:

f(g(1)) =  3√0 .+ 1

f(g(1)) =0 + 1
f(g(1))  = 1

Hence the value of the composite function f(g(1)) is 1

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Answer:

Each game costs $1.28.

Step-by-step explanation:

First, we need to find the total of all the games.

Since the only additive is the $0.50, we simply subtract it from the total.

4.35-0.50=$3.85

Since you bought three games, and they're all the same price, we divide $3.85 by 3.

3.85/3=1.2833333

Since were doing it by pennies, we can round it down to $1.28 per game.

Hope this helps!

Answer:

$1.28 per game.

Step-by-step explanation:

Answer:

b. g(t) = 200 - 4t

Step-by-step explanation:

I don't know how to explain this, but here is the answer.

Answer:

\(\huge\boxed{\sf D) \ 8x-2x^2}\)

Step-by-step explanation:

\(\sf 5x-x*2x+ 3x\\\\5x - 2x^2+3x\\\\Combining\ like\ terms\\\\5x+3x-2x^2\\\\8x-2x^2\)

Hope this helped!

~AnonymousHelper1807

Answer:

8x^2+3

Step-by-step explanation:

5x minus with X then multiple with 2x and plus with 3x

Answer:

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

a) x-intercepts are

b) midpoint of x-intercepts is

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

d) f(- 2.5) = - 30.25

Answer:

\(\sf a) \quad x = -8 \:\:and \:\:x = 3\)

\(\sf b) \quad \left(-\dfrac{5}{2},0\right)\)

\(\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

\(\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

Step-by-step explanation:

Part (a)

The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:

\(\implies f(x)=0\)

\(\implies (x-3)(x+8)=0\)

Therefore:

\((x-3)=0 \implies x=3\)

\((x+8)=0 \implies x=-8\)

Therefore, the x-intercepts are x = -8 and x = 3

Part (b)

\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)\)

\(\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)\)

Therefore, the midpoint of the x-intercepts is (-5/2, 0)

Part (c)

The extreme value is the vertex.  The vertex is:

The x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts.  Therefore, the x-value of the extreme value is x = -5/2.

To find the y-coordinate, substitute this into the given equation:

\(\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}\)

Therefore, the extreme value is:

\(\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

Part (d)

The function in vertex form is:

\(\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

\(\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}\)

The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

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The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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Answer:

$1.71

Step-by-step explanation:

Answer:

0.57

Step-by-step explanation:

no prob

Answer:

angle 2 and angle 7

.........they are exterior alternate angles

Using simple mathematical operations, we know that we sold a total (D) of 50 units of orange juice.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations refers to the rules that define the sequence in which we should perform the operations necessary to solve an equation.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are collectively referred to as PEMDAS.

So, we begin the week with 30 units of orange juice.

We purchase more than 50 units of orange juice.

Total: 30 + 50 = 80 units

Our ending inventory was 30 units.

Units of orange juice sold: 80 - 30 = 50 units

Therefore, using simple mathematical operations, we know that we sold a total (D) of 50 units of orange juice.

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Complete question:

You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 units. How many units did you sell?

a) 5

b) 15

c) 49

d) 50

The algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

The statement is given as:

the difference of 27 and 5​

Difference means minus.

The minus sign is represented as -

This means that the statement given as: the difference of 27 and 5​

Can be represented as

27 minus 5

So, have

27 - 5

Hence, the algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

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