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2 years ago

5

amirah can type 720 words in 16 minutes,lixin can type 828 words in 18 minutes and shirley can type 798 words in 19 minutes , wh

o is the fastest typist ?

1 answer:

Mkey [24]2 years ago

7 0

Answer:

828

Step-by-step explanation:

he is the fastest typist

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20.83 as a mixed number

vova2212 [387]

20.83 would be written as:
20 83/100
This is why.
The 20 is the whole number
The 83 is is the tenths and hundredths place
Since the 3 is in the hundredths place, it makes the 83/100 what it is.
So, the answer would be 20 and 83/100

3 0

2 years ago

The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f

OLEGan [10]

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>

$f(x)=(x-h)^3$ indicates that the function if shifted to the right <em>h </em> units.

$f(x)=(x+h)^3$ indicates that the function if shifted to the left <em>h </em> units.

$f(x)=f(x)-k$ indicates that the function if shifted down <em>k </em> units.

$f(x)=f(x)+k$ indicates that the function if shifted up <em>k </em> units.

Then:

If <em>h </em>is positive, the graph will shift to the right.

If <em>k </em>is negative, the graph will shift down.

As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

$g(x)=(x-4)^3-2$

Where:

$h=4\\k=-2$

7 0

2 years ago

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

4 0

2 years ago

Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

ohaa [14]

$\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C$

8 0

3 years ago

What is the standard form of (2+3i)(4-7i)/(1-I)

AlladinOne [14]

I believe in standard form this would be 31/2 + 27i/2

8 0

2 years ago

Read 2 more answers