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Crank
2 years ago
5

How many cubes with side lengths of 1/2 cm does it take to fill the prism.

Mathematics
1 answer:
frez [133]2 years ago
4 0

Answer:

24 cubes

Step-by-step explanation:

You can figure this a couple of ways.

I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.

The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

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Find the GCF of 38, 76, and 114.
valentina_108 [34]
  • Answer:

<em>GCF = 38</em>

  • Step-by-step explanation:

<em>38 = 2×19</em>

<em>76 = 4×19 = 2²×19</em>

<em>114 = 2×3×19</em>

<em>GCF = 2×19 = 38</em>

3 0
3 years ago
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
WILL GIVE BRAINLIEST! HELP ASAP!
makkiz [27]

Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

7 0
3 years ago
Given the functions =−12 (2)x+3. Select all statements that are true.
Natali5045456 [20]
There ya go, the graphing

8 0
3 years ago
Please help.<br> Algebra.
Akimi4 [234]

1. A

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.

--------------------------------------------------------------------------------------------------------------

2. C

That's right. If a system of equations has a solution, then their graphs intersect,  and the point where they intersect is the solution because it's the point that  satisfies each equation in the system.

Straight-line graphs with the same slope are parallel lines, and they never intersect,  which is another way of saying they have no solution.

8 0
3 years ago
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