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3 years ago

6

Jada is training for a marathon. She wants to run a total of 25 miles this week. She will run the same distance each day for 6 d

ays. How many miles will she run each day?

1 answer:

8090 [49]3 years ago

8 0

Answer:

4 1/6

Step-by-step explanation:

4 x 6 = 24

1/6 x 6 = 6/6 = 1

24 + 1 = 25 :)

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago

What is 12+[(14-6)/4]

saveliy_v [14]

Answer:

14

Step-by-step explanation:

THE ANSWER TO THE PROBLEM IS 14

3 0

3 years ago

() + -8= -6 what is the awnser

Mariana [72]

Answer:x=2

Step-by-step explanation:

change () to x

x + -8= -6

-6+8=2

x=2

5 0

3 years ago

For f(x) = 1/3x +5 <br><br> f(3) =

Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 1/3x + 5

f(3) is x = 3

<u>Step 2: Evaluate</u>

Substitute: f(3) = 1/3(3) + 5
Multiply: f(3) = 1 + 5
Add: f(3) = 6

3 0

3 years ago

Write each of these in scientific notation <br> 1) 0.00000402<br> 2) 1,900,000

Mkey [24]

Answer:

See below in bold.

Step-by-step explanation:

1. 0.00000402

= 4.02 * 10^-6 (Counting the digits after the decimal point until we get to the 4 gives us the -6).

2. 1,900,000

= 1.9 * 10^6 ( counting the number of digits after the 1 gives us 6).

3 0

3 years ago