All categories

3 years ago

What expression is equivalent to 6 × 10^−4/2 × 10^3

Mathematics

1 answer:

Ksivusya [100]3 years ago

4 0

The correct answer is: [A]: " 3 * 10 ⁻⁷ " .

_____________________

Explanation:

To solve:

Given:

<u> (6 * 10⁻⁴ ) </u> = (6 ÷ 2) * 10⁽⁻⁴ ⁻³⁾ = 3 * 10 ⁻⁷ ; which is:

(2 * 10³ )

→ Answer choice: [A]: " 3 * 10 ⁻⁷ " .

_____________________

You might be interested in

Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Area of square floor is 100 square centimeters,and the scale of the drawing is 1 centimeter:2ft,what is the area of the actual f

Taya2010 [7]

100 square centimeters means the dimensions are 10x10
but the actual floor will be 1cm:2ft
so 10cm=20feet
making the dimensions 20feetx20feet
the area of the actual floor is 400 feet

4 0

3 years ago

If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut

Damm [24]

Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°

4 0

3 years ago

Learn with an example

Marta_Voda [28]

Answer:

y = 9x + (-7) should be the answer

6 0

3 years ago

Write 10 12/5 as an equivalent improper fraction

romanna [79]

10 $\frac{12}{5}$ = $\frac{(10 X 5 ) + 12}{5}$
= $\frac{62}{5}$

8 0

3 years ago