A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins, is given by: T(t) = -0.013t^2 + 0.3172t +98.6. When does the patient reach its maximum value? what is the patient's maximum temp?

We want to find different ways of selecting and ordering elements. The answers are:

A) C = 395

B) combinations = 479,001,600

C) combinations = 239,500,800

First, we know that Rebecca has 12 photos.

A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.

Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 12 and K = 8, then:

[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]

So there are 495 different ways of choosing 8 photos out of the 12.

B) Now we want to see in how many ways she can arrange all 12 photos.

The total number of combinations is just the product between the numbers of options, we got:

[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]

C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.

[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]

And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:

[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]

If you want to learn more, you can read:

https://brainly.com/question/14305145

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

this question got asked three times =)

Answer:

52 is the answer

Step-by-step explanation:

You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.

3(7)=21

Subtract the numbers in the paratheses once you have found the number with the variable.

21 - 8 = 13

Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.

4 * 13 = 54 or 13 * 4 = 54

I hope this helps u! :D

Answer:

um whats m or y?

Step-by-step explanation:

Answer:

[tex]x=3m+y[/tex]

Step-by-step explanation:

Let's solve for [tex]x[/tex].

[tex]m=\frac{x-y}{3}[/tex]

Step 1: Flip the equation.

[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]

Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.

[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]

[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]

Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].

[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]

[tex]x=3m+y[/tex]

Answer:

[tex]x=3m+y[/tex]

Answer:

4, 2, 1, 1

Step-by-step explanation:

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Answer:

the answer is 26.6666667 and when rounded off is 26.7

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Answer:

At most it can hold 18 bagels

Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

Answer:

II and III only

Step-by-step explanation:

One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994

I don't know how to represent it on a nomberline

I

Answer:

Step-by-step explanation:

1. C

2. B

3. D

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:

E = 120

F = 60

G = 120

H = 60

Step-by-step explanation:

Answer:

5280 , 8720

Step-by-step explanation:

suppose the one is x, another is y

x+y=14000

y(6%)-x(4%)=312

x=5280

y=8720

net annual receipt means the income so you have to substract the lost from the gains

Check the picture below.

Answer:

1/3³

Step-by-step explanation:

[tex] {3}^{2} \times {3}^{ - 5} \\ = {3}^{[2 + ( - 5)]} \\ = {3}^{ - 3} \\ = \frac{1}{ {3}^{3} } [/tex]

Answer:

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Step-by-step explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]

You can solve whichever one you want, but I'll do both to be sure.

[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]

Now for the second one:

[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]

a = 22, so now you can solve for the side lengths.

[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]

Answer:

29.85

Step-by-step explanation:

1 month = 9.95

2 months = 19.9

3 months= 29.85

It shows the progression through three months and how much it was starting off from one month.

Answer: $29.85

per day it charges $9.95

she has the subscription for three months

we will then multiply the amount charged per month

$9.95 x 3 = $29.85

I hope this helps! :)

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Step-by-step explanation:

Volume of cylinder = πr²h

42mi = 221760 ft .

Answer:

-2

Step-by-step explanation:

-4x-2x ≤ 17-5

-6x ≤ 12 | /(-6)

x ≥ -2

I did this really quick so I hope all the answers are right, and double check them if you have time just in case

Answer:

16/21

Step-by-step explanation:

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!