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omeli [17]
2 years ago
11

Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute,

which expression shows the amount of time it will take her to write the rest of the essay? please i just want to know how to get 3/5
Mathematics
1 answer:
ella [17]2 years ago
7 0

Answer:

~ 92.31 minutes

Step-by-step explanation:

Given:

Length of essay = 1000

Essay already written = \frac{2}{5} of the total essay

OR

Essay already written = \frac{2}{5} \times 1000  =400\ words

Essay remaining = Length of essay - Essay already written

Essay remaining = 1000 - 400 = 600 words

i.e. \frac{3}{5} of the total essay is remaining which is actually equal to 600 words.

6.5 words are written in = 1 minute

1 word is written in = \frac{1}{6.5} minutes

600 words are written in = \frac{1}{6.5}\times 600\ minutes   = \bold{92.31}\ minutes

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Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

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2 years ago
Use the rules for multiplication by powers of 10 to calculate 20 × 100.
Ainat [17]

Answer:

The Answer is B) Hope it helps!

Step-by-step explanation:

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Hey there! Welcome to Brainly!

Let's see how many marbles we have in total.

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28/48

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8 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

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R²= 0.23

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Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

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Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

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Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

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I hope it helps!

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