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ankoles [38]
3 years ago
9

A colony of ants has 50,000 members. Sione thinks the colony will grow at a rate of 3.1% each hour. How many ants should he expe

ct there to be in the colony after 10 hours? Express your answer rounded to the nearest whole number.
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0
3.1% of 50,000 is 1,550 if I were to multiply that by 10 that would equal 15,500 add that to 50,000 it equals 65,500
Pani-rosa [81]3 years ago
4 0
<span> What force would be required to accelerate a 1,100 kg car to 0.5 m/s2?  N</span>
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Vlada [557]

i need more images to find the answer.

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2 years ago
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Solve m<br> m= 4/5 (2t+w) for t
Pavel [41]
Is this rearranging formulae? Because, if so-



m=4 (2t+w)
5





m(2t+w)=4
5




4 divide m= 2t+w
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3 0
4 years ago
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2X+2Y=48<br> 3X+Y=40 <br><br> What is X and Y
marshall27 [118]

Answer:

x=8

y=16

Step-by-step explanation:

2x+2y=48

3x+y=40

Ther is many ways to solve this, one of them is clearance:

WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER

x= (40-y)/3

2[(40-y)/3] +2y=48

(80-2y)/3 +2y=48

(80-2y+6y)/3=48

80+4y=48(3)

4y=144

y= 144/4

y=16

x=(40-y)/3

x=(40-16)/3

x=24/3

x=8

4 0
3 years ago
Question 10 multiple choice
vekshin1

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

==========================================

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

3 0
3 years ago
(05.02)
Amiraneli [1.4K]

Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula \frac{y_2-y_1}{x_2-x_1}. x_1 and y_1 represent the x and y values of one point, and x_2 and y_2 represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for x_1, 5 for y_1, 8 for x_2, and 9 for y_2 then solve:

\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1

Therefore, the slope is 1.

2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.

4 0
3 years ago
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