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3 years ago

What is the average rate of change from x=0 to x=5

Mathematics

2 answers:

zmey [24]3 years ago

6 0

80-40/5-0=40/5=8 through the slope formula

Liono4ka [1.6K]3 years ago

4 0

Answer:

-8

I just answered this one

Step-by-step explanation:

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A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago

Solve H = fraction with p minus a in the numerator and 3 times w in the denominator for p. SOLVE FOR P

omeli [17]

D. p = fraction H over the quantity 3 times w + a

5 0

3 years ago

Suppose you invest $400 at an annual interest rate 7.6% compounded continuously. How much will you have in the account after 1.5

goldfiish [28.3K]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}$

3 0

3 years ago

What is the answer to 7(2e−1)−3=6+6e

ludmilkaskok [199]

Simplifying
7(2e + -1) + -3 = 6 + 6e

Reorder the terms:
7(-1 + 2e) + -3 = 6 + 6e
(-1 * 7 + 2e * 7) + -3 = 6 + 6e
(-7 + 14e) + -3 = 6 + 6e

Reorder the terms:
-7 + -3 + 14e = 6 + 6e

Combine like terms: -7 + -3 = -10
-10 + 14e = 6 + 6e

Solving
-10 + 14e = 6 + 6e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-6e' to each side of the equation.
-10 + 14e + -6e = 6 + 6e + -6e

Combine like terms: 14e + -6e = 8e
-10 + 8e = 6 + 6e + -6e

Combine like terms: 6e + -6e = 0
-10 + 8e = 6 + 0
-10 + 8e = 6

Add '10' to each side of the equation.
-10 + 10 + 8e = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 8e = 6 + 10
8e = 6 + 10

Combine like terms: 6 + 10 = 16
8e = 16

Divide each side by '8'.
e = 2

Simplifying
e=2

(sorry, i went into depth)

8 0

3 years ago

Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0

garri49 [273]

Answer:

take a picture of the problem

3 0

3 years ago