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arsen [322]
3 years ago
13

If 2^5 x 5^2 = 2^n x 10^2, what is the value of n?

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer: x = 0

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per sec
s344n2d4d5 [400]

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

v=4/3 \pi r^3

v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

4 0
2 years ago
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
shutvik [7]

The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

<h3>How to find the area of a trapezoid and rhombus?</h3>

The given pattern consists of rhombus and trapezoids

The formula for calculating the area of rhombus is expressed as:

A = pq/2

Area of trapezoid = 0.5(a+b)h

Given the following

height  = 2in

a = 2in

b = 3in

Ara of rhombus = 1(4)/2 = 2 square inches

Area of the trapezoid = 0.5(2+3) * 2

Area of the trapezoid  = 5 square inches

Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

Learn more on area of rhombus and trapezoid here: brainly.com/question/2456096

6 0
2 years ago
Angles and transversals thank you
faltersainse [42]

Answer:

#11-13: 118 , 97 , 62

#7-10: 92 , 125 , 56 , 130

Step-by-step explanation:

#11. Supplementary angles (A + B = 180)

  • (n + 7) + (3n - 47) = 180
  • n = 55
  • <ABC = 3(55) - 47 = 118 degrees

#12. Supplementary angles

  • 83 + x = 180
  • x = 97
  • <ABC = 97 degrees

#13. Congruent angles (A = B)

  • (8x - 34) = (5x +2)
  • x = 12
  • <DEF = 5 (12) + 2 = 62 degrees

#7. Congruent angles

  • (3x +23) = 4x
  • x = 23
  • <ABC = 4(23) = 92 degrees

#8. Congruent angles

  • 5x = (3x + 50)
  • x = 25
  • <MPQ = 3(25) + 50 = 125 degrees

#9. Congruent angles

  • (a + 28) = 2a
  • a = 28
  • <MNP = (28) + 28 = 56 degrees

#10. Congruent angles

  • 5y = (2y + 78)
  • y = 26
  • <WXZ = 5(26) = 130 degrees

I hope this helps!

7 0
2 years ago
Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
How many quarter pound burgers can george make out of 3 1/2 pounds of ground beef ?
lana [24]
Assuming that there is no wastage of beef. 

Note that 3 1/2 = 7/2 = 14/4 = 14 * 1/4 
This means that we can have 14 sets of quarter pound beef. 

This in turn means that George can make 14 quarter pound burgers.
6 0
3 years ago
Read 2 more answers
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