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3 years ago

9

Mr. DiBello ordered pizzas for a party and organized the information into a table. If Mr. DiBello paid a total of $121.55, how m

any large pizzas did he order?

1 answer:

Nikitich [7]3 years ago

4 0

How much does one large pizza cost information is missing

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Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π

gtnhenbr [62]

Answer:

$\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

$y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\$

$\frac{dy}{dx} = \frac{-1}{sin y} \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}$

Therefore;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }$

Since x = cos y from the above substitute;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }$

Hence, $\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$ gives the required proof

5 0

4 years ago

Parmesan cheese was on sale for $13.60 per pound. Wesley bought a piece of the Parmesan cheese that weighed 1 1/8 pounds. How mu

sweet [91]

He payed $15.30 is you divide 13.60 by 8 you get 1.70then you just add 13.60+1.70 because he also bought a pound

4 0

3 years ago

Read 2 more answers

Which statements are true for solutions when there is a system of two linear equations in two variables? Select all that apply.

monitta

Answer: A system of linear equations consists of two or more linear equations made up of two or more variables, such that all equations in the system are considered simultaneously.

To find the unique solution to a system of linear equations, we must find a numerical value for each variable in the system that will satisfy all equations in the system at the same time.

In order for a linear system to have a unique solution, there must be at least as many equations as there are variables.

The solution to a system of linear equations in two variables is any ordered pair

(

x

,

y

)

that satisfies each equation independently. Graphically, solutions are points at which the lines intersect.

Key Terms

system of linear equations: A set of two or more equations made up of two or more variables that are considered simultaneously.

dependent system: A system of linear equations in which the two equations represent the

same line; there are an infinite number of solutions to a dependent system.

inconsistent system: A system of linear equations with no common solution because they

represent parallel lines, which have no point or line in common.

independent system: A system of linear equations with exactly one solution pair

(

x

,

y

)

.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Calcula el minimo numero de monedas que hay dentro de una bolsa si el triple de las monedas que hay en la bolsa disminuido en 12

nika2105 [10]

12+24=36 no se si es es lol Que quieras

6 0

4 years ago

James drives to the store and back in 1/2 an hour the distance to the store is 10 miles what was his average vrkocity for the tr

baherus [9]

Actually, it is 40 mph. Unless you mean he goes to the store in half an hour and back in another half. Just clarify the wording.

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3 years ago