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Rom4ik [11]
2 years ago
8

Solve for x. 4^6/4^x=4^0

Mathematics
1 answer:
ss7ja [257]2 years ago
3 0

Answer:

<em>x </em> =  6

Step-by-step explanation:

<u>Create equivalent expressions in the equation that all have equal bases, then solve for</u>  <em>x</em> .

<em>x</em>  =  6

<em>brainliest pls</em>

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Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2
Leya [2.2K]
Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can 
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0
3 years ago
Read 2 more answers
If f(x)3(=- Vx-3, complete the following statement:x + 2f(19) ==Answer here
Digiron [165]
Explanation

This exercise is about evaluating a function at a particular argument. To do that, we replace the variable with the argument in the formula of the function, and simplify.

Let's do that:

\begin{gathered} f(19)=\frac{3}{19+2}-\sqrt[]{19-3}, \\  \\ f(19)=\frac{3}{21}-\sqrt[]{16}, \\  \\ f(19)=\frac{1}{7}-4, \\  \\ f(19)=\frac{1-28}{7}, \\  \\ f(19)=-\frac{27}{7}\text{.} \end{gathered}Answerf(19)=-\frac{27}{7}\text{.}

8 0
1 year ago
Sammy drew a rectangle that was w inches wide. The length was 4 inches more than the width. Which expression below represents th
LekaFEV [45]
4w +8. C.

It’s 4 * width for perimeter and two of the sides are longer by 4in so 2*4=8
7 0
2 years ago
4 times as much as 3 is blank
NeX [460]

Answer:

12

Step-by-step explanation:

4 times 3 is 12.

4+4+4=12

5 0
2 years ago
The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
Troyanec [42]

Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

Area of each smaller rectangle = \frac{26\times 36}{9} = 104\ cm^2

To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

104 = 13 \times  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

5 0
2 years ago
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