What is the purpose and importance of a linear function?

Answer:

4.8 hours

Step-by-step explanation:

The formula for half life is given as:

t½ = t × In(2)/In(No/Nt)

Where

t½ = Half life

t = time in hours = 4

No = Initial amount = 10mg

Nt = Final amount after 3 hours = 6.5 mg

t½ = 3 × In(2) /In(10/6.5)

t½ = 4.8271216522281 hours

Approximately = 4.8 hours

The half-life of the medication, in hours, is 4.8 hours.

Given that,

Based on the above information, the calculation is as follows:

The following formula should be used:

[tex]= t \times ln(2)\div ln(No\div Nt)[/tex]

 Here

t denotes the time in hours i.e. 4

No means the Initial amount i.e. 10mg

Nt means Final amount after 3 hours i.e. 6.5 mg

So,

[tex]= 3 \times ln(2) \div ln(10\div 6.5)[/tex]

= 4.82

 = 4.8 hours

Therefore we can conclude that the half-life of the medication, in hours, is 4.8 hours.

Learn more: brainly.com/question/24169758

Answer:

13.80.........................

Answer:

the answer is 13.89

Step-by-step explanation:

Answer:

See the screenshot! :)

Step-by-step explanation:

we have a exponential function of the form

y=a([tex]b^x[/tex])

where

y ---> is the population of bacteria

x ---> the number of hours

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate of change

b=(1+r)

we have

a=700 bacteria

r=5%=5/100=0.05

so

b=1+0.05=1.05

substitute

y=700([tex]1.05^x[/tex])

For x=20 hours

substitute in the equation and solve for y

y=700(1.05)^20= 1,857 bacteria

Hope this helped! :)

Answer:

265

Step-by-step explanation:

9514 1404 393

Answer:

  your choice is the best

Step-by-step explanation:

If you simply look at the segments marked with expressions in z, you have* ...

  z+23 > 0   ⇒   z > -23

  3z +9 > 0   ⇒   z > -9/3 = -3

That is, the side lengths must be positive. We must also have the side labeled z+23 be longer than the side labeled 3z+9:

  z +23 > 3z +9

  14 > 2z . . . . . . . subtract z+9

  7 > z

So, the limits on the marked side lengths require ...

  -3 < z < 7 . . . . matches the 4th choice

__

If you actually work out the possible sizes of these triangles such that the angles are the given measures, you find that the minimum length of the legs with the hash mark is about 15.8649, and the minimum value of z is ...

  z > (12√6 -7)/5 ≈ 4.47878

This value is obtained when the triangles are isosceles. Apparently, you're not supposed to think that deeply about this question.

_____

* The "or equal to" case is not included, because that would allow the triangles to have zero area. That is, the triangles would be a single point.

Answer:

Just casually ask him to hang out love

Step-by-step explanation:

Answer:

i have a boyfriend, and he asked me, but my last relationship i basically asked, he was going to ask me but he got scared and said if i wanted to be his friend, and i said yeah of course, so after that he asked if i wanted to be besties cause he choked again so then i said what about girlfriend? and he said he'd think, we ended up getting together for a good month and a half, so i suggest just telling him, or give him a call and ask him if he wants to come over and do homework together or something.

Step-by-step explanation:

Answer:

xy = 3

d/dt(xy) = d/dt(3)

ydx/dt + xdy/dt = 0

y = 3/x so substitute 3/5 for y, 5 for x, and 5 for dy/dt; and solve for dx/dt.

3/5(dx/dt) + 5(5) = 0

3/5(dx/dt) = -25

dx/dt = -125/3

Step-by-step explanation:

this should be able to help you :)

Answer:

66th term =117

Step-by-step explanation:

Answer:

y - 0 = -1(x - 4)

Step-by-step explanation:

Point-slope form is this: y - y1 = m(x - x1)

We are given the values of m, x1, and y1, So all we have to do is input those values into the equation:

m = -1

(x1, y1) = (4, 0)

y - 0 = -1(x - 4)

I hope this helps. :)

Answer:

[tex]M-N=8x^2+11x-9\\[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\M=5x^2+7x-4\\N=-3x^2-4x+5\\\\Hence,\\M-N=5x^2+7x-4-(-3x^2-4x+5)\\M-N=5x^2+7x-4+3x^2+4x-5\\M-N=5x^2+3x^2+7x+4x-4-5\\M-N=8x^2+11x-9\\[/tex]

Answer:

8x^2+11x^2-9

Step-by-step explanation:

5x^2-(-3x^2)=8x^2

7x-(-4x)=11x

-4-5=-9

Answer:

20

If the net force on an object is doubled, its acceleration will double If the mass of an object is doubled, the acceleration will be halved.

Answer:

-12

Step-by-step explanation:

Step-by-step explanation:

You dont have to just wait.

Youll figure out what you like

Answer:

ask what would you like to do or do you make enough money simple questions

hope this helps u dear

Answer:

Step-by-step explanation:

Answer:

I don't know, the way it is typed confuses me. Is it 7/11 TIMES p-10 or is p-10 with the 11 as the denominator?  but I do hope this helps:

Step-by-step explanation:

So first I subtracted 7/11 from each side:

f(p)-7/11=(7/11-7/11)p-10

Now we are left with f(4/11p)=p-10

Now to get the variable "p" on one side, I subtracted 4/11p from both sides:

f(4/11p-4/11p)=(p-4/11p)-10

Now we are left with f=7/11p-10

Now we want the "p" to be 1p so we multiply each side by the reciprocal of 7/11:

f(11/7)=(7/11*11/7)p-10

Now we have 1 4/7f=p-10

Now we subtract 4/7 from each side and get:

f=p-9 3/7

And that's as far as I could simplify it, sorry if it's wrong... lol

The required value of f (77) is 39 for the given equation. The correct answer would be an option (B).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

f (p) = (7/11) p - 10

We have to determine the value of f (77) for the given equation.

As per the question, we have

f (p) = (7/11) p - 10

Substitute the value of p = 77 in the above equation,

f (77) = (7/11)(77) - 10

f (77) = 7 x 7 - 10

f (77) = 49 - 10

Apply the subtraction operation, and we get

f (77) = 39

Thus, the value of f (77) is 39.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer: B

Step-by-step explanation:

Answer:

16 ounces

Step-by-step explanation:

Answer: 625100

Step-by-step explanation:

To begin, we would start multiply both numbers one by one.

(6.3 x 10^6) - 4.9 x 10^4

6.3 x 10^6 = 6300000

4.9 x 10^4 = 49000

Now, subtract (6.3 x 10^6) and (4.9 x 10^4)

                          6300000.            49000

6300000 - 49000 = 6251000

Answer:

3(times)2x^8y^4+1

Step-by-step explanation:

Answer:

630-420=210

Step-by-step explanation:

630 is miles to go and 420 is miles travel

.°. 630-420=210

Answer:

more details are needed

Answer:

this questioned needs more details I don't understand

Answer:

12x9

Step-by-step explanation:

12x9 equals ____ square units

Answer: D. ∠HKG ≅ ∠LGK

Step-by-step explanation:

Given: Quadrilateral GHKL where diagonal GK is drawn such that it forms two triangles GHK and KLG.

Side GL  ≅  Side KH

Now, GK is common in both triangles GHK and KLG.

and GK ≅GK

SAS congruence rule: If any two sides and the angle included between the sides of one triangle are congruent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent.

So ∠HKG must be congruent to ∠LGK ( angles between the congruent sides).

Hence, the correct option is D. ∠HKG ≅ ∠LGK

Question:

What other information do you need to prove ∆ GHK ≅ ∆ KLG by SAS?

Answer:

HKG ≅ LGK

Answer:

Equation of a straight line is given as y = mx+c

m = slope or gradient or dy/dx or y2 - y1/ x2 - x1

c = intercept

y = 2x - 7

y = -x + 1

y = 2x - 10

Step-by-step explanation:

Using y = mx+c

A. m=2 y=-7 x=0

-7= 2*0 + c

-7=c

y = 2*x - 7

y = 2x - 7

B. x1=3 x2=-2 y1=-4 y2=1

m = y2 - y1/ x2 - x1

m = 1+4 / -2-3

m = 5/-5 which is equal to -1

using any value for y and x, let's use x1 and y1

-2 = -1*3 + c

-2 = -3 + c

1 = c

y = -1*x + 1

y = -x + 1

C. x1=6 x2= 5 y1= 2 y2=0

m = y2 - y1/ x2 - x1

m = 0-2 / 5-6

m = -2/-1 which is equal to 2

using any value for y and x, let's use x1and y1

2 = 2*6 + c

2 = 12 + c

-10 = c

y = 2*x -10

y = 2x - 10

Answer:

x=7

Step-by-step explanation:

Answer: 5/18

Step-by-step explanation:

Answer:

3(15x+2)

Step-by-step explanation:

Answer:

The answer is image 3.

Step-by-step explanation:

The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.

x-intercept :

[tex]let \: y = 0[/tex]

[tex]0 = - \frac{1}{2} x + 3[/tex]

[tex] \frac{1}{2} x = 3[/tex]

[tex]x = 3 \div \frac{1}{2} [/tex]

[tex]x = 6[/tex]

y-intercept :

[tex]let \: x = 0[/tex]

[tex]y = - \frac{1}{2} (0) + 3[/tex]

[tex]y = 3[/tex]

Answerc

Step-by-step explanation:

Answer: The answer is (1,10)

Step-by-step explanation: