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Fynjy0 [20]
3 years ago
14

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function mc025-1.jpg, where t represents t

ime elapsed. What is the meaning of the horizontal asymptote for this function? The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
Mathematics
1 answer:
Anarel [89]3 years ago
4 0
Horizontal asymptote is what happens to T(f) as t becomes extremely large (approaches infinity).  The horizontal asymptote is the line which T(t) approaches as t goes to infinity, i.e. the line y=0. This means that the person's body temperature will approach 0ºF above 98.6ºF as t goes to infinity. i.e. the person's body temperature will approach 98.6ºF as time lapses. The first option.
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Step-by-step explanation:

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Answer:

Option A.

Step-by-step explanation:

Definition of Boyle's law: a law stating that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature. There is thus a relationship between volume and pressure of the gas thus option B and C are incorrect.

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3 years ago
21. Brian wants to purchase a piece of fabric
ella [17]

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice  B is 4\frac{1}{2} feet long

4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice C is 4\frac{1}{3} feet  long

4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

8 0
3 years ago
If two objects travel through space along two different curves, it’s often important to know whether they will collide. (Will a
galina1969 [7]

Answer:

<em>Both objects collide at t=3 in the point  <9,9,9></em>

Step-by-step explanation:

<em>Collision Of Moving Objects </em>

Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.

The positions of two object are given as

r1(t)=

r2(t)=

Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both

t^2=4t-3

Rearranging

t^2-4t+3=0

Factoring

(t-1)(t-3)=0

We found two solutions

t=1,\ t=3

for t=1 the x-coordinates are

x1=t^2=1

x2=4t-3=1

For t=3

x1=t^2=9

x2=4t-3=9

Now we'll test both values in the y-coordinates

y1=7t-12

y2=t^2

For t=1

y1=-5

y2=1

Thus they don't collide at t=1. Let's try t=3

y1=7(3)-12=9

y2=3^2=9

Now let's try the z-coordinate for t=3

z1=t^2=9

z2=5t-6=9

Since the three coordinates match, we can say both objects collide at t=3 in the point  <9,9,9>

6 0
3 years ago
Solve for x.<br> \12x + 3<br> 13x + 2<br> x = [?]
Vsevolod [243]

Answer:

x=7

Step-by-step explanation:

25x+5=180

      -5    -5

25x=175

/25    /25

3 0
2 years ago
Read 2 more answers
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