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jeka57 [31]
3 years ago
9

The populations of two towns, town A and town B, are being compared. The population of town A is 4×104 and the population of B i

s 2×105. How many times greater is the population of town B than town A?
Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

Town B is 1.98 times greater than town A.

Step-by-step explanation:

A= 4 times 104 = 416

B= 2 times 105 = 210

416 divided by 210 = 1.98

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Q 1.) Expand using identities:<br>i. (a+2b)²<br>ii. (5x-3y)²<br>iii. (3a+4)(3a-4)(9a²+16)<br>​
Ganezh [65]

Step-by-step explanation:

#1.

(a + 2b)²

<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>

= (a)² + (2b)² + 2 × (a) × (2b)

= a² + 4b² + 4ab

= a² + 4ab + 4b² Ans.

#2.

(5x - 3y)²

<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>

= (5x)² + (3y)² - 2 × (5x) × (3y)

= 25x² + 9y² - 30xy

= 25x² - 30xy + 9y² Ans.

#3.

(3a + 4)(3a - 4)(9a² + 16)

<em>Using identity (x + y)(x - y) = x² - y², we get:</em>

= [(3a)² - (4)²][9a² + 16]

= (9a² - 16)(9a² + 16)

= (9a²)² - (16)²

= 81a⁴ - 256 Ans.

4 0
2 years ago
HELP PLEASE!!! WILL GIVE BRAINLIEST
Nadusha1986 [10]
The equation looks like this \frac{ x^{2} }{16} + \frac{ y^{2} }{25} =1.  In an ellipse, a is always the bigger value, so a^2 = 25.  This bigger value also tells us which axis is the major one.  Sine the bigger value a is under the y^2 of the equation, the major axis is the y-axis.  This is a vertical ellipse.  The center is always found within a set of parenthesis that exist with the x^2 and the y^2.  Since there are no parenthesis with either, there is no side to side movement, nor is there any up or down movement.  So the center doesn't move from the origin (0, 0).  The vertex is also along the major axis, and if a^2 is 25, then a = 5, so the vertices go up 5 from the center and down 5 from the center.  Vertices are (0, 5) and (0, -5).  The foci follow the formula c^{2}= a^{2}- b^{2}.  c is the distance that the foci are from the center.  c^{2}=25-16 and c = 3.  The foci also lie on the major axis, so the coordinates for the foci are (0, 3) and (0, -3).  There you go!
8 0
2 years ago
The angle which is four times its complement is a. 60 b. 30 C. 45 d. 72​
grigory [225]

Answer:

The answer is D.72°

Step-by-step explanation:

hope this helps.

5 0
2 years ago
Hi everybody!
Irina-Kira [14]
That answer is  A and B pick one
5 0
2 years ago
Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each
Wittaler [7]

Answer:

  • 3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

        \dfrac{3}{4}\div 5

Convert the whole number 5 into fraction using 1 as denominator:

       \dfrac{3}{4}\div \dfrac{5}{1}

Transform the division into multiplication changing the divisor into its reciprocal:

       \dfrac{3}{4}\times \dfrac{1}{5}

Multiply numerator with numerator and denominator with denominator:

       \dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer

7 0
3 years ago
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