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goldfiish [28.3K]
2 years ago
14

Which expression is equivalent to

ac{3}{2} " alt=" \frac{3}{2} " align="absmiddle" class="latex-formula">×\frac{3}{2}×\frac{3}{2}×\frac{3}{2}
A. 3^4/2

B. \frac{3}{2}×4

C. 3/2^4

D. (\frac{3}{2})^4
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
4 0

A - This is the same as : (3*3*3*3)/4 Wrong.

B - This is 12/4 Wrong.

C- This is 3/2 * 3/2 * 3/2 * 3/2 Correct.

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Find the perimeter of ABCD<br> Find the area of Area
san4es73 [151]

Step-by-step explanation:

A = (1, 3)

B = (3, 6)

C = (9, 2)

D = (7, -1)

the distance between 2 points is given by the Pythagoras equation based on the coordinate differences as legs of virtual right-angled triangles.

AD for example we get from

AD² = (7-1)² + (-1 - 3)² = 6² + (-4)² = 36 + 16 = 52

AD = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

and AB we get from

AB² = (3-1)² + (6-3)² = 2² + 3² = 4 + 9 = 13

AB = sqrt(13)

the perimeter of the given rectangle is

2×sqrt(52) + 2×sqrt(13) = 2×2×sqrt(13) + 2×sqrt(13) =

= 6×sqrt(13) = 21.63330765...

and the area of the rectangle is

2×sqrt(13)×sqrt(13) = 2×13 = 26

7 0
2 years ago
Negative 3 and a half divided by ​negative 5 over 8
Art [367]

Answer:

12/5

Step-by-step explanation:

-3/2 ÷ -5/8 =

-3/2 x 8/-5 =

-24/-10 =

12/5

7 0
2 years ago
The value of 14 is 35% of
neonofarm [45]

Answer:

40

Step-by-step explanation:

(35/100) of X = 14

(7/20) × X = 14

X = 14 × 20/7

X = 40

4 0
3 years ago
Read 2 more answers
If f(x) = (3/94), what is f(3)?
deff fn [24]

Answer:

3/94

Step-by-step explanation:

5 0
3 years ago
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
grandymaker [24]
<span>1) Equation for the parabola y = - x² + 36.
</span>

<span>2) A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function.
</span>

<span>The points of intersection will be: (0,36) and (4, 20)
</span><span>
</span>
T<span>able of values for a linear function and the parabola
</span>
<span>x        linear function      parabola y = - x² + 36
</span>
<span>0        36                                  (0)² + 36 = 36
</span>
<span>1        32                                  - (1)² + 36 = 35
</span>
<span>2        28                                  - (2)² + 36 = 32
</span>
<span>3        24                                   -3² + 36 = 27
</span>
<span>4        20                                   -4² + 36 = 20
</span>
It is a linear function because the rate of change is constant: for each increase of 1 unit in x, there is a decrease of 4 units in y: ⇒ slope = - 4

Remember to include the two points of intersection in your table. Analyze the two functions; they are there (0,36) and (4, 20)


Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? 
Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.


The domain is all the real values of x between - 6 and 6: - 6 ≤ x ≤ 6


The range is all the values between 0 and 36: 0 ≤ y ≤ 36

The domain represents the horizontal distance between the extremes of the rainbow at the ground.

The range represents: the altitude of the rainbow from the ground (y = 0). The height is at x = 0, y = 36.

The x-intercepts are - 6 and 6, that is the opening of the rainbow at the ground level.


The y-intercept is when x = 0, it is y = 36, and is the height of the rainbow.

Is the linear function you created positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.

The linear function is positive and decreasing. It is positive because it goes above the x-axis, this is y ≥ 0.

The solutions where already signaled: (0,6) and (4, 20). They are the points at which the drone intercepts the rainbow.

8 0
3 years ago
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