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AnnZ [28]
3 years ago
9

Evaluate the power: (−3)^4 A. 81 B. -81 C. 243 D. -331

Mathematics
2 answers:
Effectus [21]3 years ago
8 0
The power would be= A.) 81
Agata [3.3K]3 years ago
7 0

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

{3}^{4}

Simplify.

81

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>Option</u><u> </u><u>A</u><u>)</u><u> </u><u>81</u><u>.</u>

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How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?
Ainat [17]

\text{Hi there! :D}

\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}

\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}

8 0
3 years ago
What is mp over n in algebra mean
Montano1993 [528]
It is an equation you have to solve.
m times p / n
mp/n

3 0
3 years ago
David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t)
sesenic [268]

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

6 0
3 years ago
PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!
madreJ [45]

Answer:

x=2

Step-by-step explanation:

let the unknown number be x

now we are to find x regarding the question as an equation, let's form the equation to solve for x

the interpretation of the question is:

(x² + x)/3 = x

by collecting the like terms:

(x²+ x) = 3x

x² + x = 3x

x² = 3x - x

x² = 2x

x = 2

8 0
3 years ago
Read 2 more answers
The circumference of the base of the cone is 8.5π inches. What is the volume of the cone in terms of π? Round to the nearest hun
Contact [7]

Answer:

The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.

Step-by-step explanation:

Volume = πr²(h/3) = ?

          Height = <em>15 inches</em> (from the diagram)

          Find r

since we are given the circumference of the base circle = 8.5π inches => 2πr

∴ 8.5π inches = 2πr

  ( 8.5π / 2π ) inches = r

  <em>4.25 inches</em> = (r) Radius

Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.

Volume = πr²(h/3)

             = π * (4.25 inches)² * (15 inches / 3)

             = π * 18.0625 inches² * 5 inches

Volume = ‬90.3125π inches³

Rounding to the nearest hundredth ≅ 90.31π inches³

4 0
3 years ago
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