Whats the answer to this?

A receptionist named Bruce spends 2 minutes routing each incoming phone call. In all, how many phone call does Bruce have to rou

sesenic [268]

Answer: 2 calls

Step-by-step explanation:

4 mins/2 minutes per call

6 0

3 years ago

Help me asap please

lapo4ka [179]

6^4

.......

8 0

3 years ago

Read 2 more answers

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

4 years ago

2^2/5+ 3^1/10 <br> HELP ASAP

gizmo_the_mogwai [7]

Answer:

$\sqrt[5]{4}$ + $\sqrt[10]{3}$

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as $2^{\frac{2}{5} } + 3^{\frac{1}{10} }$

// use the $a^{\frac{m}{n} } =\sqrt[n]{a^{m} }$ to transform the expression

Convert $2^{\frac{2}{5} }$ to $\sqrt[5]{2^{2} }$ = $\sqrt[5]{4}$ (here a = 2, n = 5, m = 2)

Then convert $3^{\frac{1}{10} }$ to $\sqrt[10]{3^{1} }$ = $\sqrt[10]{3}$ (here a = 3, n = 10, m = 1)

Now we get $2^{\frac{2}{5} } + 3^{\frac{1}{10} }$ = $\sqrt[5]{4}$ + $\sqrt[10]{3}$ . This is the simplified form, which is the answer.

6 0

3 years ago

A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under

kondaur [170]

A particle moves along line segments from the origin to the points, work done is mathematically given as

W=184.5units

<h3>What is the solution of an equation that matches the model.?</h3>

Considering line segments from (0,0,0)origin to (2,0,0) , (2,5,1) and (0,5,1) under the infulence of force

Generally, the equation for force is mathematically given as

F = z2i + 5xyj + 2y2k

Therefore, Considering u*v

$u * v = (u_1j+u_2j+u_3k) * (v_1i+v_2j+v_3k)$

$u* v = u_1v_1(i * i) + u_1v_2(i * j)+u_1v_3(i * k) + u_2v_1(j * i) + u_2v_2(j * j)+u_2_3(j* k) + u_3v_1(k * i) + u_3v_2(k * j)+u_3v_3(k * k)$

Where

$i * i = j *j=k * k=0$

Hence

$u* v = u_1v_2k-u_1v_3j-u_2v_1k+u_2v_3i +u_3v_1j - u_3v_2i$

$u = (u_1,u_2,u_3) = (0,5,1)\\\\v = (v_1,v_2,v_3) = (-3,0,0)$

The normal equation formed

-2y + 15z = 0

z= (1/5)y

Considering the level surface and differential surface area

h(x,y,z) = -y + 5z =0

$dS = |grad(h)| dA$

In terms of the x and y coordinates of (2,0,0) and (2,5,1) and (0,5,1), we can state that the ranges are 0 to 3 and 5 respectively we have

$0 \leq x \leq 2 \ and \ 0 \leq y \leq 5$

Using strokes theorem to evaluate

$F = z2i + 5xyj + 2y2k$

$curl \ F = 4yi+2zj+5yk = (4y,2z,5y)$

$curl \ F * nds= \frac{1}{5}(-2z + 25y)\ dy \ dx$

In conclusion, The work done is

$W=\int _CF *dr$

$\int _C F * dr = \int \int curl \ F * n ds$

$\int _C F *dr = \frac{123}{2}\int_0^3 \ dx$

$\int _C F * dr = \frac{123*3}{2}$

W= 184.5units