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solniwko [45]
3 years ago
13

The ordered pairs (1.3) and (3.7) lie on the line the slope of that line is

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

Slope is 2.

Step-by-step explanation:

Slope is \frac{7-3}{3-1}=\frac{4}{2}  =2

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A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul
ch4aika [34]

Answer:

  11.0 years

Step-by-step explanation:

The exponential function describing the population growth can be written ...

  population = (initial population)×(1 +growth rate)^years

If t represents the number of years, we can fill in the values to get ...

  18500 = 12000×1.04^t

Dividing by 12000 gives ...

  18500/12000 = 1.04^t

Taking logarithms, we have ...

  log(18500/12000) = t×log(1.04)

  t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0

It will be 11.0 years until the population reaches 18,500.

7 0
3 years ago
Factor 4a^2b^4-25x^6y^4
jeka57 [31]
4a²b⁴ - 25x⁶y⁴

(2ab²)² - (5x³y²)²     

= (2ab² + 5x³y²)(<span>2ab² - 5x³y²)    By difference of two squares</span>
4 0
3 years ago
Explain the difference between -<img src="https://tex.z-dn.net/?f=%5Csqrt%7B1%7D" id="TexFormula1" title="\sqrt{1}" alt="\sqrt{1
OLEGan [10]

Step-by-step explanation:

= -√1

= -1

= √1

= 1

Difference -√1 and √1 are the sign of the number, where -√1 is negative and √1 is positive

3 0
3 years ago
Solve AABC. Round your answers to the nearest hundredth, if necessary
Aloiza [94]

Answer:

C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 180-90-65=25^{\circ}.

In any triangle, the Law of Sines is given by \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}.

Therefore, we have:

\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}

\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}

8 0
3 years ago
Complete the statement with equal to, greater than, or less than.
enyata [817]
2 x 2/9 Will Be Less Than 2
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2 years ago
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