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4 years ago

A number to the 11th power divided by the same number to the 8th power equals 64. What is the number

Mathematics

1 answer:

ipn [44]4 years ago

5 0

Answer:

The number for the given statement is 4

Step-by-step explanation:

Given as :

The statement is written as

A number to the 11th power divided by the same number to the 8th power equals 64.

Let the number = n

So, As per statement

$\dfrac{n^{11}}{n^{8}}$ = 64

Now, from the indices method

I.e if the base of the indices are same then the power are subtracted

So, Here the base is n and the power is 11 , 8

So, this can be written as

$n^{11-8}$ = 64

Or, n³ = 64

I.e n = ∛64

So, The cube root of 64 is 4

So, number = n = 4

Hence The number for the given statement is 4 Answer

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you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell

Luba_88 [7]

Answer: 8

Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84

84- 36 = 48/6 = 8

7 0

3 years ago

PLEASE HELP ME!!!!!!

Nata [24]

9514 1404 393

Answer:

vertex: (2, -3.2)

axis of symmetry: x = 2

zeros: x=0, x=4

formula for axis of symmetry:

x = <x-coordinate of vertex>
x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

x = 2

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

x = h . . . . . . equation of axis of symmetry

8 0

3 years ago

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no

aliina [53]

9514 1404 393

Answer:

2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

(2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

Three solutions are shown:

(x, y) = (2, 9), (3, 10), (4, 11)

4 0

3 years ago

What value is equivalent to 52 + 53 − 54? A) -475 B) -350 C) -125 D) 5

Dafna1 [17]

None of these answer choices are correct. The answer would be 51. 52+53=105

105-54=51

7 0

3 years ago

Read 2 more answers

Solve the system using the substituion method -4x+y=8 x-3y=9

lions [1.4K]

Hi there!

x - 3y = 9
x = 9 + 3y

-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!

3 0

3 years ago