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Over [174]
3 years ago
15

An athlete eats 0.4kg of protein per week while training. How much protein will she eat during 6 weeks of training?

Mathematics
1 answer:
kolezko [41]3 years ago
7 0
0.4kg  per week.     so 0.4kg  x  6 weeks is 2.4kgs
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Step-by-step explanation:

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What is the system of equations for 2x + 2y = 10 and 5x - 2y=4?
vagabundo [1.1K]

2x  + 2y = 10 \\ 5x - 2y = 4 \\  7x = 14 \\ x = 2 \\  \\ 2(2) + 2y = 10 \\ 4 + 2y = 10 \\ 2y = 6 \\ y = 3
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It is recommended that there be at least 7 square feet of work space for every person in a conference room. A certain conference
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3 years ago
Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0
2 years ago
PLEASE HELP i need help
Helen [10]

Answer:

9)

Domain {-2, -1, 1}

Range {-4, -2, 2, 4}

7)

Domain {0, 1, 2}

Range {-2, 0, 2, 3}

6)

Domian {-4, -1, 1, 2}

Range {-7, -4, 2}

8 0
2 years ago
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