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Jobisdone [24]
3 years ago
7

Simplify. Rewrite the expression in the form y^n y^-4•y^3

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

y^{-1}

Step-by-step explanation:

This question is asking us to rewrite the original expression it in the form y^n

First we have

(y^{-4} )y^3

By the law of exponents we know that when we are multiplying expressions that have the same base, we need to add up the exponents.

Thus, this would mean that, in order to multiply this expression, we need to sum up the exponents so we have:

-4+3=-1

Thus, this expression can be rewritten as:

(y^{-4} )y^3=y^{-4+3} =y^{-1}

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You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll
bonufazy [111]

We need to define our outcomes and events.

 

Finding the probability<span> of each event occurring separately, and then multiplying the probabilities is the step to <span>finding  the probability</span> of two independent events that occur in sequence.

</span>

<span>
To solve this problem, we take note of this:</span>

 

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

3 0
3 years ago
Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the
riadik2000 [5.3K]
Divide (1/6 cup cheese) into (7/8 cup cheese):

7
--
8          7     6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1          8     1
--
6

She can prepare her recipe 5 times, with some material left over.
5 0
3 years ago
376×74 help and show work​
hoa [83]

Answer:

27,824

Step-by-step explanation:

i just calculated it.

3 0
2 years ago
Read 2 more answers
Evaluate the expression. 2x – 19, when x = –11 3 –41 –3 41
kakasveta [241]
Substitute (-11) in for x. You will get 2(-11)-19. Then, use the order of operations to get -22-19=
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Hope that helps!
3 0
3 years ago
The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
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