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Olenka [21]
2 years ago
12

12) What is the degree of the resulting polynomial when a 3rd degree binomial is added to a 4th degree

Mathematics
1 answer:
anygoal [31]2 years ago
7 0

Since adding polynomials doesn't change the degree (unless the two highest degree terms match and cancel each other out), the result will just be the degree of the highest degree polynomial.

In your case, the result will be a 4th degree polynomial.

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Answer:25

Step-by-step explanation:

40/8=5 5x5=25

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2 years ago
The Penn's Landing Ferry sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 28 econ
kenny6666 [7]
The maximum profit for 1 tour would be $2650

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if there are 90 seats, 10 must be deluxe (which is cheaper), and you are trying to find the max profit for 1 tour, then 80 of the seats must be economy seats. 
to find out how much 80 economy seats would cost you need to multiply 80 times 30 which gives you 2400.

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6 0
3 years ago
What are the steps to answer -3(2r+7)=3
kumpel [21]
-3(2r+7)=3
distribute -3
-6r-21=3
add 21 to both sides, this causes the 21 on the left to cancel itself out.
-6r=24
divide each side by -6, this causes the -6 on the left side to cancel itself out.
r=-4
3 0
3 years ago
Read 2 more answers
Find the 14th term of the following geometric sequence.<br> 4, 8, 16, 32, ...
xz_007 [3.2K]

Answer:

65536

Step-by-step explanation:

multiply each term by 2 until you get to the 14th term. the 14th term is 65536

4 0
3 years ago
Read 2 more answers
Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
2 years ago
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