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tigry1 [53]
3 years ago
8

How do you solve for(−5)^5(−5)^−6

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

-1/5

Step-by-step explanation:

We know that a^b * a^c = a^(b+c)

(−5)^5(−5)^−6

(-5) ^(5+-6)

(-5)^-1

We know that a^-b = 1/a^b

1/(-5)^1

1/-5

-1/5

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The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
MAXImum [283]
Area of rectangular post card = length x width
For the given post card: 
length = 4 in
width = (3+b) in
area = 24 in^2

So, substituting in the equation of the area:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
4 years ago
The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
3 years ago
HELP ASAP PLEASE ILL GIVE BRAINIEST!!! <br> I’m stuck !!!!
rosijanka [135]

Answer:

Therefore the value of EC is 13 unit.

Step-by-step explanation:

Given:

ABCD is a Rectangle

EC = 6x + 1

AE = x +11

To Find:

EC = ?

Solution:

ABCD is a Rectangle .........Given

Diagonal of Rectangle Bisect each other. .......Property of Rectangle

AE = EC

Substituting the values we get'

x+11=6x+1\\6x-x=11-1\\5x=10\\x=\dfrac{10}{2}\\\\x=2

Substituting 'x' in EC we get

EC=6\times 2+1=13\\EC=13\ unit

Therefore the value of EC is 13 unit.

7 0
3 years ago
What is the result of 3 divided by one-sixth?
Pavel [41]

Answer: 18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Given the equation, D = if D = and = m + 3, then m = A.) - 18 B.) 18 C.) 15 <br>please hurry !
rosijanka [135]

Answer:

i think its C but i could be wrong

4 0
3 years ago
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