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3 years ago

How can I simplify this expression using only positive exponents ?

Mathematics

1 answer:

belka [17]3 years ago

5 0

$\dfrac{4}{2}\cdot\dfrac{r^3}{r^5}=2\cdot\dfrac{1}{r^2}\\\\=\dfrac{2}{r^2}$

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Please help ASAP brainliest for correct answer<br><br> 5.6 litres to nearest 0.5litres

antiseptic1488 [7]

I think the answer would be 6 litres as the 0.6 would round up? let me know if not though

3 0

3 years ago

Read 2 more answers

Let z = ln(x 2 + y), x = ret . and y = ter . Use the Chain Rule to compute ∂z ∂r and ∂z ∂t at the point where (r, t) = (1, 2).\

Natali [406]

By the chain rule,

$\dfrac{\partial z}{\partial u}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial u}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial u}$

where $u\in\{r,t\}$ .

We have component partial derivatives

$\dfrac{\partial z}{\partial x}=\dfrac{2x}{x^2+y}=\dfrac{2re^t}{r^2e^{2t}+te^r}$

$\dfrac{\partial z}{\partial y}=\dfrac1{x^2+y}=\dfrac1{r^2e^{2t}+te^r}$

$\dfrac{\partial x}{\partial r}=e^t$

$\dfrac{\partial x}{\partial t}=re^t$

$\dfrac{\partial y}{\partial r}=te^r$

$\dfrac{\partial y}{\partial t}=e^r$

Putting the appropriate pieces together and setting $(r,t)=(1,2)$ , we get

$\dfrac{\partial z}{\partial r}(1,2)=\dfrac{2e^3+2}{e^3+2}$

$\dfrac{\partial z}{\partial t}(1,2)=\dfrac{2e^3+1}{e^3+2}$

3 0

3 years ago

A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more pe

Molodets [167]

Answer:

T1(n) = 25n +119.50 where n belongs to $1 \leq n$ .

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50

Let the total cost of the restaurant be T

Cost for this case will be T1

T1(n) = 25n +119.50 where n belongs to $1 \leq n$

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.

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3 years ago

Thelearningodyssey.com/gatekeeper.aspx?INTERNAL=SESSION

Alika [10]

Answer:

Explanation:

8 0

3 years ago

there is a line that includes the point (6,-4) and has the slope of -2. What is the equation in slope intercept form

Helga [31]

Answer:

y= -2x+8

Step-by-step explanation:

y-y₁=m(x-x₁)

This is the point slope form equation that can be used to solve this.

Plug in the slope for m and (6,-4) for (x₁,y₁)

y-(-4)=-2(x-6)

Simplify.

y+4= -2x+12

y= -2x+8

8 0

3 years ago