All categories

3 years ago

It takes 20 minutes to cut a log into 5 equal-size pieces. How long will it take to cut a similar log into 3 equal-size pieces

Mathematics

2 answers:

Anna007 [38]3 years ago

4 0

Answer:

30mins

Step-by-step explanation:

Whitepunk [10]3 years ago

3 0

Answer:

12 minutes

Step-by-step explanation:

20/5=4

3*4=12

You might be interested in

A cylindrical package with half a hemisphere to be sent by a postal service can have a maximum combined length (height of the cy

artcher [175]

Answer:

36 x 18 x 18

Step-by-step explanation:

By Lagrange multiplier's method,

∇f(x,y,z)= λ∇g(x,y,z) & g(x,y,z)=k

considering x,y,z as three unequal sides of the box

f(x,y,z)=xyz

If x represents the length, then constraint condition is g(x,y,z)= x + 2(y+z) =108

We have the following three equations:

yz= λ -->eq(1) fx= λgx

xz=2λ -->eq(2) fy=λgy

xy= 2λ -->eq(3) fz=λgz

x+2y+2z=108-->eq(4)

Dividing eq(2) by eq(1), we'll have

x / y =2

=> x= 2y

Also, by using eq(2)and eq(3), we can represent y=z

By substituting 'x= 2y' and 'y=z' in eq(4), we have

eq(4)=>

2y+ 2(y+y)= 108

y=108/6

y=18

For x: x=2y=> 2(18)=>36

For z: z= y = 18

Therefore, the dimensions are 36 x 18 x 18

5 0

3 years ago

Read 2 more answers

Jenna had one third pound of chocolate candy he shared that candy among four people how many pounds of candy did each person get

PilotLPTM [1.2K]

Each person gets 1/12 of a pound

8 0

3 years ago

Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2

Nesterboy [21]

Answer:

Vertex form: $f(x)=(x-1)^2-3$

Standard form: $f(x)=x^2-2x-2$

Step-by-step explanation:

A quadratic function in vertex form is $f(x)=a(x-h)^2+k$ where $(h,k)$ is the vertex.

We are given $h=1,k=-3$ .

Let's plug that in:

$f(x)=a(x-1)^2-3$ .

Now let's find $a$ .

We will use the $y$ -intercept $(0,-2)$ to find $a$ .

$f(0)=a(0-1)^2-3$

$-2=a(0-1)^2-3$

$-2=a(-1)^2-3$

$-2=a(1)-3$

$-2=a-3$

$1=a$

So the function in vertex form is:

$f(x)=(x-1)^2-3$ .

In standard form, we will have to multiply and combine any like terms.

Let's do that:

$f(x)=(x-1)(x-1)-3$

$f(x)=x^2-x-x+1-3$

$f(x)=x^2-2x-2$

5 0

4 years ago

The expression 1/2mv^2 M=1.6x10^3 V=3.4x10^3

mariarad [96]

Answer:

Step-by-step explanation:

hello :

The expression 1/2mv^2

M=1.6x10^3

V=3.4x10^3

is : 1/2(1.6x10^3 )(3.4x10^3)²=2.72x 10^9

8 0

4 years ago

Mr. williams physical education class lasts 7/8 hour. Instructions are 1/5 of that time, how many minutes are NOT spent on instr

melomori [17]

37/40 but you should probably wait for a second opinion because i bad at math

6 0

4 years ago