All categories

3 years ago

Rewrite 128 in an expomential notion using 2 as a base

1 answer:

3 0

$\underbrace{2\times 2\times 2\times 2\times 2\times 2 \times 2} = 128\\\\~~~~~~~~~~~~~~~~~7\\\\\\\boxed{\bf{2^7 =128}}}$

You might be interested in

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x

OleMash [197]

ANSWER

$x=1.39$ to the nearest hundredth.

EXPLANATION

We have the equation,

$0=2x^2+3x-8$

Which can be rewritten as

$2x^2+3x-8=0$

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

$ax^2+bx+c=0$

$a=2,b=3,c=-8$

The quadratic formula is given by;

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We now substitute all the values in to the formula;

$x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}$

We simplify to obtain;

$x=\frac{-3\pm\sqrt{9+64}}{4}$

$x=\frac{-3\pm\sqrt{73}}{4}$

We now split the plus or minus sign to obtain;

$x=\frac{-3-\sqrt{73}}{4}$

This implies that;

$x=-2.89$

$x=\frac{-3+\sqrt{73}}{4}$

This will evaluate to;

$x=1.39$

Hence, the positive solution rounded to the nearest hundredth is

$x \approx 1.39$

6 0

4 years ago

Read 3 more answers

Hello everyone… Please answer … Let's solve a little logic : )

morpeh [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r² where (h, k) is the center

<u>Here find the radius using distance formula</u>: → origin : (0, 0)

√(x2-x1)²+(y2-y1)²

√(3-0)²+(5-0)²

√9+25

√34

<u>Thus the equation of circle</u>:

(x - 0)² + (y - 0)² = (√34)²

(x - 0)² + (y - 0)² = 34

x² + y² = 34

7 0

3 years ago

Read 2 more answers

Does the graph below represent a function? why or why not?

Degger [83]

Answer:

Step-by-step explanation:

The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.

Does this help?

4 0

2 years ago

Read 2 more answers

How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long

Gnom [1K]

3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.

8 0

3 years ago