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3 years ago

Help 20 points helpppppppp math helps 20 points no linos or imma report you.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

5 0

Answer:

Not a right triangle

Step-by-step explanation:

We can figure out if it is a right triangle or not by using the pythagorean theorem.

a^2 + b^2 = c^2

In this case a and b are 16 and 18

In order for it to be a right triangle, c has to equal 34, in this problem.

16^2 + 18^2 = c^2

= 580^2

= $\sqrt{580}$ = 24.0832

Since 24.0832 does not equal 34, this is not a right triangle

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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated

statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 = 1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

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2 years ago

Colin is filling 4.5 ounce bottles with lavender bubble bath that he made for gifts.He was able to fill 7.5 bottles.How many oun

icang [17]

4.5 *7.5 =33.75 ounces

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3 years ago

A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Natali [406]

Answer:

$y+9 = - 9x +18$

Step-by-step explanation:

Line is passing through the point $(2,\: - 9) =(x_1,\:y_1)$ and has slope (m) = - 9

General equation of line in point slope form is given as:

$y-y_1 = m(x-x_1)$

Therefore

$y-(-9) = - 9(x-2)$

$y+9 = - 9x +18$

This is the required equation of line in point slope form.

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3 years ago

Two fourth-degree polynomials are multiplied together. what is the degree of the product?

Snowcat [4.5K]

Answer:

The product of a fourth degree polynomial and a third degree polynomial is a 7th degree polynomial (just add the two degrees). Why is this the case? Remember, when you multiply variables with common bases, you add the exponents. Since the degree of a polynomial is just the largest exponent, you're really just adding the degrees when you multiply

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3 years ago

What is vertical line test is and how it is used?

laila [671]

Answer:

The vertical line test is a visual test used to determine whether or not a graph is a function. To perform this test, simply draw a straight vertical line multiple times on different parts of the graph.

If a vertical line intersects with the graph at one point, then it's a function.

If a vertical line intersects with the graph at multiple points, then it's not a function.

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2 years ago