Write the equation. 5 more than a number times 2 is 2

Rewrite the expression in the form 7^n 7^2 x 7^6

s2008m [1.1K]

Answer:

The expression in the form $7^n$

$7^2\times \:\:7^6=7^n$

Step-by-step explanation:

$7^2\:\times \:7^6$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}$

$7^2\times \:7^6=7^{2+6}$

So the expression becomes

$7^2\:\times \:7^6=7^{2+6}$

$=7^{2+6}$

Add the numbers: 2+6=8

$=7^8$

Therefore, the expression in the form $7^n$

$7^2\times \:\:7^6=7^8$

7 0

3 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

2 years ago

Factorize 27a³-b³-1-9ab

victus00 [196]

Answer:

Hope this helps!

Please see through the steps below

7 0

2 years ago

Read 2 more answers

Describe one error that was made in the preparation of the

pashok25 [27]

Answer:

the axis labels are inconsistent with the graph title

Step-by-step explanation:

The independent variable is described as "% protein digested", and the dependent variable is described as "time." The graphed values suggest that these are reasonable descriptors for the data being plotted.

The title, however, says the data points are "percentage digestion per hour". This is in disagreement with the axis labels, and is inconsistent with the shape of the curve. (If the title is to be believed, the digestion rate is such that more than 100% of <whatever> has been digested after 10 hours.)

__

Additional comment

Another error is the vertical axis is graduated as though it were linear, but it is decidedly non-linear. Equivalent distances on the graph are shown for differences of 10%, 5%, 10% and 25%. That is the scale varies by a factor of 5 from one part of the graph to another.

8 0

2 years ago

−8 3/4÷2 1/6 please show me ur work

nalin [4]

Answer:

- 4 1/26

Step-by-step explanation:

Solving in steps:

- 8 3/4 ÷ 2 1/6 =
- 35/4 ÷ 13/6 =
- 35/4 × 6/13 =
- 35/2 × 3/13 =
- 105/26 =
- 4 1/26

6 0

3 years ago