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uranmaximum [27]
4 years ago
11

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube w

ith a minimum of 64 cubic centimeters.
What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

Mathematics
2 answers:
tamaranim1 [39]4 years ago
3 0
The function for the volume of the cube is
s(V) = V³

The minimum volume of the cube is 
s(V) ≥ 64 cm³
V³ ≥ 64
V ≥ ∛64
V ≥ 4

The range of the value is from 4 to positive infinity.
seraphim [82]4 years ago
3 0

Answer:

B

greater or equal to 4

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Sum of two numbers is 58 and the smaller number is 20 less than the larger number
Dmitrij [34]

Answer:

X=38 ANS. FOR THE LARGER NUMBER.

Y=20 ANS. FOR THE SMALLER NUMBER.

Step-by-step explanation:

38+Y=58

Y=58-38

38-20=18

18=18

3 0
3 years ago
Evaluate the function f(x) = -4x + 2, when x = -1.
Mkey [24]

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

3 0
3 years ago
Given line y-1/6x+9,find a perpendicular line to the given line passes through points (6,-3)?
DerKrebs [107]

Answer:

y + 3 = (6)(x - 6)

Step-by-step explanation:

The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.

Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6.  That is +6.  

Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:

y + 3 = (6)(x - 6)

7 0
3 years ago
Solve the system of equations.
nadya68 [22]

Answer:

using the first two equations cancelling the z

-2x-2y-5z=-7

6x+8y+5z=9

4x +6y= 2

using the second and the third equations cancelling the z

6x+8y+5z= 9

-2x-3y-5z= -6

4x +5y = 3

4x + 6y = 2

-4x -5y = -3

y= -1

2x + 2(-1) + 5z = 7

2x - 2 + 5z = 7

2x + 5z = 9

6x + 8(-1) + 5z = 9

6x - 8 + 5z = 9

6x + 5z = 17

-2x - 5z= -9

4x = 8

x = 2

2(2) + 2(-1) + 5z= 7

4 - 2 + 5z = 7

2 + 5z = 7

5z = 5

z = 1

(2, -1, 1)

the answer is a.

Step-by-step explanation:

3 0
4 years ago
The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E
Gnoma [55]

Answer:

\triangle ABC {\displaystyle \sim } \triangle DE\ F

\triangle CBA {\displaystyle \sim } \triangle FED

\triangle BAC {\displaystyle \sim } \triangle EDF

Step-by-step explanation:

Given

\triangle ABC {\displaystyle \sim } \triangle DE\ F

AC = 10

AB = 5

\angle C = 30^\circ

ED = 7.5

DF = 25

\angle F =30

\angle E =90

Required

Which of the options is/are true:

\triangle CBA {\displaystyle \sim } \triangle FED            \triangle CBA {\displaystyle \sim } \triangle FDE              \triangle BAC {\displaystyle \sim } \triangle EFD

\triangle BAC {\displaystyle \sim } \triangle EDF            \triangle ABC {\displaystyle \sim } \triangle DE\ F             \triangle ABC {\displaystyle \sim } \triangle DFE

The given triangles, implies that:

A {\displaystyle \sim } \ D

B {\displaystyle \sim } \ E

C {\displaystyle \sim } \ F

By taking each sides of both triangle, one after the other; the possible similar triangles are:

\triangle ABC {\displaystyle \sim } \triangle DE\ F

\triangle CBA {\displaystyle \sim } \triangle FED

\triangle BAC {\displaystyle \sim } \triangle EDF

5 0
3 years ago
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