A rectangular prism has length x+2, width x+1, height 4, and volume 24. Find the length and the width.

The following are the ages (years) of 5 people in a room: 19, 13, 25, 14, 18 A person enters the room. The mean age of the 6 peo

Sergio [31]

Answer:

19

Step-by-step explanation:

18 x 6 = 108

19 + 13 + 25 + 14 + 18 = 89

108 - 89 = 19

6 0

3 years ago

Can someone please help.

yaroslaw [1]

9514 1404 393

Answer:

(C) 0.27 × 9 = 2.43

Step-by-step explanation:

Each colored section is 27 small squares, so is 27/100 = 0.27 of the whole. There are 9 colored sections, together totalling 2 wholes plus 43 small squares, or 2.43.

The equation this represents could be ...

0.27 × 9 = 2.43 . . . . . matches choice C

7 0

3 years ago

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich

Bess [88]

Answer:

a). k = 2.0794

b). $A_{t}=A_{0}(2^{3t} )$

c). 13107200 cells

d). rate of growth after 6 hours = 27255112

e). 4.76 hours

Step-by-step explanation:

From the formula of bacterial population,

$A_{t}=A_{0}e^{kt}$

Where $A_{t}$ = Bacterial population after time t

$A_{0}$ = Initial population

k = relative growth factor

t = duration or time

a). For $A_{t}=2\times 50=100$ cells

and $A_{0}=50$ cells

Time t = 20 minutes = $\frac{1}{3}$ hours

Now we plug in these values in the formula,

100 = $50(e^{\frac{k}{3}})$

$e^{\frac{k}{3}}=2$

By taking natural log on both the sides of the equation,

$\frac{k}{3}(lne)=ln(2)$

k = 3ln(2) = 2.0794

b). To get the expression we will plug in the value of k in the formula.

$A_{t}=A_{0}e^{kt}$

Since k = 3ln(2)

$A_{t}=A_{0}e^{3t(ln2)}$

Let y = $e^{3t(ln2)}$

By taking natural log on both the sides of the equation,

lny = $ln(e^{3t(ln2)} )$

lny = 3t(ln2)ln(e)

ln(y) = 3t(ln2)

ln(y) = $ln(2)^{3t}$

y = $2^{3t}$

Now our expression will be $A_{t}=A_{0}(2^{3t} )$

c). Number of cells after t = 6 hours

$A_{6}=50(2^{3\times 6} )$

$A_{6}=50(2^{18})$

$A_{6}=50\times (262144)=13107200$

d). We can get the rate of growth by finding derivative of the expression

$\frac{d}{dt}(A_{t})=\frac{d}{dt}[A_{0}(e^{kt}})]$

= $A_{0}[ke^{kt}]$

Now $\frac{d}{dt}(A_{6})=k.A_{6}$

= 2.0794×13107200

= 27255112

e) From the given formula,

$A_{t}=A_{0}(2^{3t} )$

$1000000=50(2^{3t} )$

$2^{3t}=20000$

3t(ln2) = ln(20000)

t = $\frac{ln(20000)}{3(ln2)}$

t = $\frac{9.90349}{2.07944}=4.76$ hours

3 0

3 years ago

A small fountain holds 38 gallons of water in 4 equal-sized sections.

Paraphin [41]

38/4
9 2/4
9 1/2
HOPE THIS HELPS

5 0

3 years ago

Read 2 more answers

Circle O has a circumference of 88π cm.

Lena [83]

Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0

4 years ago