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2 years ago

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

Mathematics

1 answer:

sashaice [31]2 years ago

4 0

The term that could be put in the blank is x^2y^2

<h3>How to complete the polynomial?</h3>

The polynomial is given as:

8x^3y^2 - ___ + 3xy^2 - 4y^3

From the above expression, we can see that each term has a decreasing power of x from x to 0.

The missing power of x in the expression is 2

So, the term that completes the expression must have x^2

Hence, the term that could be put in the blank is x^2y^2

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Monroe is gift wrapping a box that has the shape of a right rectangular prism. The box has a length of 20 cm, a width of 7 cm, a

Allisa [31]

I would assume you would do base*width*weight to get your area.

6 0

3 years ago

A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t

Harman [31]

Answer:

The expectation is $E(1 )= -\$ 1$

Step-by-step explanation:

From the question we are told that

The first offer is $x_1 = \$ 8000$

The second offer is $x_2 = \$ 4000$

The third offer is $\$ 1600$

The number of tickets is $n = 5000$

The price of each ticket is $p= \$ 5$

Generally expectation is mathematically represented as

$E(x)=\sum x * P(X = x )$

$P(X = x_1 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_1 ) = 0.0002$

Now

$P(X = x_2 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_2 ) = 0.0002$

Now

$P(X = x_3 ) = \frac{5}{5000}$ given that they offer five

$P(X = x_3 ) = 0.001$

Hence the expectation is evaluated as

$E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001$

$E(x)=\$ 4$

Now given that the price for a ticket is $\$ 5$

The actual expectation when price of ticket has been removed is

$E(1 )= 4- 5$

$E(1 )= -\$ 1$

4 0

3 years ago

PLEASE HELP ME!!

Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

$P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 = \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t} = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t} = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t} = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\$

The population will reach 1200 after about 2.8 years

6 0

3 years ago

There are 20 cars in Thomas's toy car collection. Four-Fifths of the cars are blue. How many blue cars does he have?

Dmitry_Shevchenko [17]

Answer:

I think 15.

Step-by-step explanation:

20 ÷ 5=4 and 5 × 3=15.

8 0

3 years ago

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered th

ollegr [7]

Answer:

11$

Step-by-step explanation:

big brain

6 0

3 years ago