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2 years ago

Need help please thxs

Mathematics

1 answer:

vekshin12 years ago

7 0

Its option C

40 × (¹/₄)⁰ = 40

40 × (¹/₄)¹ = 10

40 × (¹/₄)² = 5/2

40 × (¹/₄)³ = 5/8

40 × (¹/₄)⁴ = 5/32

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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:

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

____

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

Use the given scale factor in the side length of the scale drawing to determine the side links of the real object

ozzi

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

7 0

2 years ago

What is the equation of the sinusoid shown in the graph?

ololo11 [35]

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

$y=\cos x$

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

$y=A\cos(\omega x)$

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

$\frac{\pi}{2}\omega =2\pi$

Thus:

$\omega = 4$

Therefore, the equation of the sinusoid is:

$y=3\cos (4x)$

Answer: C

3 0

2 years ago

Read 2 more answers

A carpenter cut a six and a half ft board into one and one fourth ft sections.what is the number of sections he cut?

Afina-wow [57]

Answer:

5 1/4

Step-by-step explanation:

7 0

2 years ago

Solve the equation : 2x + 7 = 21 and find the value of x. Is 2x + 7 = 21 a first degree equation or not?

Paraphin [41]

Answer:

The proposed equation is solved as follows:

2X + 7 = 21

2X = 21 - 7

2X = 14

X = 14 / 2

X = 7

The value of X is 7.

A first degree equation is an algebraic equation in which each term is either a constant or a product of a fixed term on a single variable. Therefore, this equation is a first degree one, since it only has a single variable, which is X.

4 0

2 years ago

Need help please thxs​

Need help please thxs