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Evgen [1.6K]
2 years ago
11

Solve -5<4x+3<_<7 Not really sure how to solve, line under greater than sign

Mathematics
1 answer:
natta225 [31]2 years ago
6 0

The solution to the complex inequality as in the task content is; -2 < x <= 1.

<h3>What is the solution of the inequality?</h3>

The inequality in discuss is; -5<4x+3 <= 7.

Hence, solving the inequalities separately; we have;

-5 < 4x +3

-8 < 4x

-2 < x

Also; 4x+3 <= 7

4x <= 4

x <= 1.

Ultimately, the solution to the inequalities is;

-2 < x <= 1.

Read more on inequalities;

brainly.com/question/24372553

#SPJ1

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The Washington Monument in Washington, D.C., is about 556 ft. tall. A three-dimensional puzzle of the Washington Monument is 24
Umnica [9.8K]
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.


STEP 1
convert 24 inches to feet

12 inches= 1 foot

24 inches= 2 feet


STEP 2
set up ratio.

= 2 feet/556 feet or 2:556
simplify both by 2

= 1 ft/278 ft or 1:278


ANSWER: 1/278 or 1:278 (can be written either way)

Hope this helps! :)
8 0
3 years ago
What is the area of a parallelogram with a base of 8 m and a height of 6 m?
shtirl [24]

Answer:

48 square m

Step-by-step explanation:

The area of a parallelogram is simply b * h, where b is base and h is height. In this case, b = 8 and h = 6. So:

A = bh = 8 * 6 = 48 square m

4 0
3 years ago
See question in attached photo.<br>Answer question 4b and 5c​
sdas [7]

9514 1404 393

Answer:

  4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

  5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

<h3>4b</h3>

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

  1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

  (10 m/s²)(64/69)² ≈ 8.6 m/s²

__

ii) The weight of the space shuttle at that height is about ...

  F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

__

iii) The loss of weight will be ...

  ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

  = 1.5×10^4×1.4 N = 2.1×10^4 N

____

<h3>5c</h3>

i) The gravitational potential energy is given by ...

  U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

  U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

__

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

4 0
2 years ago
It took Cedric 42 minutes to jog 12 laps. At this rate how many minutes did it take to jog each lap
Y_Kistochka [10]
3.5 each Lap. I am sure of it
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3 years ago
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yanalaym [24]
52.50-3x=Remainder
Explanation:
52.50 starting amount
3x (3 shirts) (1 shirt=x)
52.50-3 shirts=remainder
7 0
3 years ago
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