All categories

3 years ago

Simplify ten to the sixth divided by ten to the negative third.

Mathematics

2 answers:

mihalych1998 [28]3 years ago

7 0

Remember
$\frac{x^m}{x^n}=x^{m-n}$
so
$\frac{10^6}{10^{-3}}=10^{6-(-3)}=10^{6+3}=10^9$

D is answer

nirvana33 [79]3 years ago

4 0

Answer:

the answer is D

Step-by-step explanation:

You might be interested in

Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample

Anika [276]

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

6 0

3 years ago

Read 2 more answers

Which scatter plot has a negative association?

aliya0001 [1]

c is the answer cuz a is a straight line of dots b is a no solution plot and d is a poitive plot

8 0

4 years ago

What two ratios are equivalent too 27/60

kati45 [8]

Answer:

54/120 or 108/240

Step-by-step explanation:

5 0

3 years ago

One of the children bought their teacher a mathematical plant for the classroom windowsill. At the end of the first day it had i

Vlad [161]

Answer:

18 days

Step-by-step explanation:

Here's a short table of heights:

day 0: height = 1

day 1: height = 1 + (1/2)(1) = 3/2

day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

(day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

10 = 1 + d/2

9 = d/2 . . . . subtract 1

18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.

5 0

3 years ago

A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much

stich3 [128]

Answer: $227.75\ ft^2$

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

$A=lw$

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

$l=20\ ft\\\\w=15\ ft$

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

$A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2$

The area of the flower garden which is an square, can be calculated with this formula:

$A=s^2$

Where "s" is the side length.

In this case you know that:

$s=8.5\ ft$

Then the area of the flower garden is:

$A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2$

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

$A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2$

4 0

4 years ago