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Veseljchak [2.6K]

3 years ago

9

For a healthy diet, it is recommended that 55% of the daily intake of Calories come from carbohydrates. Find the daily intake of

Calories from carbohydrates that is appropriate if you want to limit your Calorie intake to 2,500 Calories.

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

1375 calories

Step-by-step explanation:

For a healthy diet, it is recommended that 55% of the daily intake of Calories come from carbohydrates.

55% of daily intake is intake of calories come from carbohydrated

Given that the Calorie intake is 2500 calories

so 55% of 2500= daily intake of calories

$\frac{55}{100} \cdot 2500=1375$

So 1375 calories intake

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Vaselesa [24]

(X-10)(X-10) You need to first multiply out the brackets. So, first times X by X, which makes x^2 . Then do -10 x -10 which makes 100. You then need to multiply the X within the first bracket with the minus 10 in the second bracket which makes -10x. Do the same but with the -10 from the first bracket and the X from the second which again makes -10x. So altogether you have x^2-10x-10x+100. This can be simplified down to x^2-20x+100. You then do the same thing for the second question :)

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3 years ago

Read 2 more answers

PLS HELP Given the following table with selected values of the linear functions g(x) and h(x), determine the x-intercept of g(h(

kiruha [24]

Using linear and composite functions, it is found that the x-intercept of g(h(x)) is $x = -\frac{5}{6}$ , given by option B.

-------------------------------

The equation of a line is:

$y = mx + b$

In which:

m is the slope.
b is the y-intercept.

Function g:

Two of the points are (-6,16) and (-4,10).
The slope is given by <u>change in y divided by change in x</u>, thus:

$m = \frac{10 - 16}{-4 - (-6)} = -3$

Thus:

$g(x) = -3x + b$

Point (-4,10) means that when $x = -4, g(x) = 10$ , and we use this to find b, so:

$10 = -3(-4) + b$

$12 + b = 10$

$b = -2$

Then

$g(x) = -3x - 2$

Function h:

Two of the points are (-6,-11) and (-4,-7).
The slope is:

$m = \frac{-7 - (-11)}{-4 - (-6)} = \frac{4}{2} = 2$

Thus:

$h(x) = 2x + b$

Point (-4,-7) means that when $x = -4, h(x) = -7$ , and we use this to find b, so:

$-7 = 2(-4) + b$

$-8 + b = -7$

$b = 1$

Then

$h(x) = 2x + 1$

The composite function is:

$g(h(x)) = g(2x + 1) = -3(2x + 1) - 2 = -6x - 3 - 2 = -6x - 5$

The x-intercept it the zero of the function, thus:

$-6x - 5 = 0$

$6x = -5$

$x = -\frac{5}{6}$

Which is option B.

A similar problem is given at brainly.com/question/21010520

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2 years ago

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makkiz [27]

Answer:

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3 years ago

For any set of n measurements, the fraction included in the interval y − ks to y + ks is at least 1 − 1 k2 . This result is know

Karo-lina-s [1.5K]

Answer:

This interval is between 1.5 and 15.5.

Step-by-step explanation:

Tchebysheff's Theorem

The Tchebysheff's Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question, we have that:

Mean = 8.5

Standard deviation = 3.5

The manager wants to publish an interval in which at least 75% of these values lie.

By the Tchebysheff's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.

8.5 - 2*3.5 = 1.5

8.5 + 2*3.5 = 15.5

This interval is between 1.5 and 15.5.

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3 years ago

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Answer:

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3 years ago