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Free_Kalibri [48]
3 years ago
15

Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how

both methods provide the same measurement of volume for the shipping box.
Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.

Step-by-step explanation:

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A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function f
Setler [38]

Answer:

C.) It is a <u>vertical stretch with a factor of 100</u> and a translation <u>5 units down</u>.

Step-by-step explanation:

8 0
3 years ago
erin needs 9.75 cups of flour to make 6 + 1/2 dozen cookies. how many cups of flour does erin need to make 1 dozen cookies
Hitman42 [59]
Erin needs 1.5 cups of flour to make 1 dozen cookies.
6 0
3 years ago
BRAINLIEST TO CORRECT
ella [17]

9514 1404 393

Answer:

  60

Step-by-step explanation:

Let x represent the number of members last summer. Then 90% more is 1.9x. We are told this is 114, so we have ...

  1.9x = 114

  x = 114/1.9 = 60

There were 60 members last summer.

6 0
3 years ago
Solve for x.<br>3 - |8x-6I = 3<br><br>x= or x=
Ket [755]

Answer:

¾ = x

Step-by-step explanation:

Since 3 - 0 gives us the 3, we do this:

0 = -|8x - 6|

0 = -8x + 6 >> Distributive Property

-6 - 6

___________

-6 = -8x

__ ___

-8 -8

¾ = x

I am joyous to assist you anytime.

7 0
3 years ago
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
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