All categories

3 years ago

Simplify (-80) ------ (-20)

Mathematics

2 answers:

Nostrana [21]3 years ago

5 0

(-80)/(-20)=
(-8)/(-2)=
4

maks197457 [2]3 years ago

5 0

Hello...we know that a negative number divided by a negative one gives a positive number.

This means (-80) : (-20) = +4

Hope this helped

You might be interested in

Which of the following statements incorrectly describes the line segment XY?

sveta [45]

Correct answer is C.

There are infinitely many possible paths between X and Y.

7 0

3 years ago

Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 15 square meters. How many bags of topsoil does

____ [38]

Answer:

We need 4 topsoils

Step-by-step explanation:

I think your question is missed of key information that is the area of the flower bed, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

The flower bed is a triangle with its height is 5 cm and the base length is 12 cm, so we need to find out the area of it:

S = Height*the base length = 5 * 12 = 60 $m^{2}$

So the bags of topsoil does Tom need to cover his flower bed is:

$\frac{Area of the flower bed}{The area of the topsoil }$ = $\frac{60}{15}$ = 4

We need 4 topsoils

3 0

3 years ago

Read 2 more answers

Seventh grade > G.16 Add, subtract,

ratelena [41]

Answer:6/8

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What Value Does Point P Represent On The Number Line Shown Here?

Bezzdna [24]

The value is -3.2. Hope it helps!

7 0

3 years ago

Read 2 more answers

Consider F and C below. F(x, y, z) = 2xz + y2 i + 2xy j + x2 + 9z2 k C: x = t2, y = t + 3, z = 3t − 1, 0 ≤ t ≤ 1 (a) Find a func

Ray Of Light [21]

Answer:

a)∇f = 2y + 2x + 18z

b) $\int\limits^._C {F} \, dr$ =108

Step-by-step explanation:

Given:

f (x,y,z ) = $(2xz+ y^{2})i + (2xy) j +(x^{2} + 9z^{2})k$

The curve C :

$x=t^{2} ,\\y= t+3\\z= 3t-1$

where 0 ≤ t ≤ 1

Required:

(a) F = ∇f =? (F is a vector here)

(b) $\int\limits^._C {F} \, dr$ =?

Solution

First we will find the directional derivative F = ∇f

for that , we will use the formula :

∇f = $F_{x}i+ F_{y} j+F_{z}k$

Fx= δf/δx = δ/δx $(2xz+ y^{2})i$ = 2z i

Fy= δf/δy=δ/δy (2xy)j = 2x j

Fz= δf/δz=δ/δz $(x^{2} + 9z^{2})k$ = 18z k

∇f = (2z) i .i + (2x) j.j + (18z) k.k

∇f = 2z + 2x + 18z

<em>we will use line integral formula:</em>

$\int\limits^._C {F} \, dr$

to calculate dr, we will need the curve C:

r = x(t)+y(t)+z(t)

r= $(t^{2})i + (t+3) j +(3t-1) k$

$\frac{dr}{dt}=\frac{dx}{dt} +\frac{dy}{dt} + \frac{dz}{dt}$

$\frac{dx}{dt} = 2t$

$\frac{dy}{dt} = 1$

$\frac{dz}{dt} = 3$

$\int\limits^._C {F} \, dr$ = $\int\limits^1_0 {F_{x} } \, dx+ F_{y} dy +F_{z} dz$

= $\int\limits^1_0 {(2z(2t) + 2x(1) + 18z (3)} \, )$

put values of y, x and z

= $\int\limits^1_0 {2(3t-1) + 2(t^{2}) +18 (3) (3t-1)} \,$

= ${2t^{2} + 6t+162t -54-2}\, |^1_0$

= ${ 2t^{2}+ 168t - 56} \,|^1_0$ (Note : f(1)-f(0))

=2(1)+162(1)+2(0)+162(0)-56

= 2+162 -56

$\int\limits^._C {F} \, dr$ =108

3 0

3 years ago