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Ganezh [65]
3 years ago
12

I'm Siobhan and none of my teachers can remember how to pronounce my name.

Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

sio

Step-by-step explanation:

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Find the quotient of (11 ^ 18)/(11 ^ 3)
astraxan [27]

Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}.

On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

11^{3} = 11 \times 11 \times 11.

Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}.

In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

For example, in this question, dividing 11^{18} by 11^{3} would be equivalent to multiplying 11^{18}\! by 11^{-3}. In other words:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}.

6 0
2 years ago
Which equation has the steepest parabola?
ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

(y-k)=n(x-h)^2

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

\dfrac{1}{n}(y-k)=(x-h)^2

p(y-k)=(x-h)^2

where p=\dfrac{1}{n}, the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, |-0.5|=0.5

For option B, |5|=5

For option C, |8|=8

For option D, |-10|=10

Since, the equation is option A has smallest value of |p|, therefore, the equation (x+2)^2=-0.5(y+3) represents the steepest parabola.

Hence, the correct option is A.

7 0
2 years ago
Will mark brainliest! Please help!
ValentinkaMS [17]

Answer:

The dimensions are:

3(2x+1) by (7x+5)

Step-by-step explanation:

The area of the rectangle is given as

A=42x^2+51x+15

The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

A=3(14x^2+17x+5)

We split the middle term to get;

A=3(14x^2+10x+7x+5)

We factor within the parenthesis to get;

A=3(2x(7x+5)+1(7x+5))

We factor further to get;

A=3(2x+1)(7x+5)

The dimensions are:

3(2x+1) by (7x+5)

Then the perimeter will be

2(6x+3+7x+5)=26x+16\:\:\:\boxed{\sqrt{} }

4 0
2 years ago
A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.0
mrs_skeptik [129]

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

7 0
3 years ago
Evaluate the expression. 12 +( 8 x ( 4 + 3) + 2) - 6​
kondaur [170]

Answer:

56x + 8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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