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Svetllana [295]
2 years ago
15

Factorise the following expressions :​

Mathematics
2 answers:
bekas [8.4K]2 years ago
6 0

Answer:

(l² + 2m²)²

Step-by-step explanation:

l⁴ + 4l²m² + 4m⁴

=(l²)² + 2 x l² x 2m²+ (2m²)²

Now this is in the form of (a + b)² = a² + 2ab + b² so we get

= (l² + 2m²)²

sveta [45]2 years ago
5 0

Answer:

<h2>(l²+2m²)²</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
<h3>tips and formulas:</h3>
  • (a+b)²=a²+2ab+b²
<h3>let's solve:</h3>
  1. rewrite:(l²)²+2.l².2m²+(2m²)²
  2. use the formula:(l²+2m²)²
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The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
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Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
Phantasy [73]

Answer:

Kadeem will take 0.166 h more to complete the course.

Step-by-step explanation:

The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:

time = distance/speed

For Kadeem:

time = 25/50 = 0.5 h

For Quinn:

time = 25/75 = 0.334 h

The difference between the is 0.5 - 0.334 = 0.166 h.

8 0
2 years ago
Do the numbers show a pattern 11.23,10.75,10.3,9.82,9.37,8.89
sattari [20]

Answer:

is this a yes or no question

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2 years ago
Suppose A = {x |x ≤ −2, x ≥ 3} and B = {x | −1 ≤ x &lt; 5}. Which statement is true?
vagabundo [1.1K]
A.A∪ B is real numbers

3 0
2 years ago
In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the pro
postnew [5]

Answer:

The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.

Step-by-step explanation:

This can be modeled as a binomial random variable with n=8 and p=0.4.

The probability that k individuals in the sample have Type A blood can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738

3 0
2 years ago
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