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ki77a [65]
3 years ago
5

Simplify. rewrite the expression in the form b^nb ​n ​​ b, start superscript, n, end superscript. b^{-6}\cdot b^{11}

Mathematics
2 answers:
bixtya [17]3 years ago
7 0
This is the concept of indices. To re-write the question as instructed we proceed as follows:
b^-6×b^11
according to the rules of indices, when we multiply the number which have the same base, we add their powers. In our case this will be:
b^-6×b^11
adding their powers we get:
b^(-6+11)
=b^5
the answer will therefore be b^5
Sindrei [870]3 years ago
6 0

Answer:

b^5

Step-by-step explanation:

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Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one tim
elena-s [515]

Answer:

Swimming one time around the pool is 56.5 ft

Step-by-step explanation:

Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.

The circumference of the circle is calculated using:

c = \pi \: d

where d=18 is the diameter and π=3.14 as given.

We substitute the values to get:

c = 3.14 \times 18

c = 56.52

We approximate to the nearest tenth to get:

c = 56.5ft

6 0
2 years ago
Why will percent of change always be represented by a positive number?
Murljashka [212]
Percent of change will always be positive because the change is an absolute value. As we know, absolute value is always a positive value because you don't pay attention to the direction, only the distance is important. 
3 0
3 years ago
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
sdas [7]

Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

-13=a(-7)^2+b(-7)+c

49a-7b+c=-13

(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

-7b=0

b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

5 0
2 years ago
2 thirds of a number plus 5 is greater than 12
Amanda [17]

Answer:

2/3 of n +5>12

Step-by-step explanation:

6 0
2 years ago
Please help with this question
insens350 [35]

Answer:

alternate interoir

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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