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Mamont248 [21]
4 years ago
13

Analyze the following graph and determine the slope of the line in the graph.

Mathematics
2 answers:
Alisiya [41]4 years ago
7 0
Its B. Because its moving 4 
WITCHER [35]4 years ago
5 0

Answer:

Its B. Because its moving 4;)

Step-by-step explanation:

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Which of the following statements is false?
zepelin [54]
C is false, not all whole numbers are natural, because 0 is considered a whole number but it is not a natural number.
4 0
3 years ago
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Solve for the value of k. (k+8) 400​
pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

  • 7k + 8 + 90 + 40 = 180
  • 7k + 138 = 180
  • 7k = 180 - 138
  • 7k = 42
  • k = 42/7
  • k = 6

hence the value of k = 6

3 0
4 years ago
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cmys. Find the rate at which th
storchak [24]

Answer:

a) t = 1\,s, \dot A \approx 22619.467\,\frac{cm^{2}}{s}, b) t = 3\,s, \dot A \approx 67858.401\,\frac{cm^{2}}{s}, c) t = 5\,s, \dot A \approx 113097.336\,\frac{cm^{2}}{s}. The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Step-by-step explanation:

The area of a circle is described by the following formula:

A = \pi \cdot r^{2}

Where:

A - Area, measured in square centimeters.

r - Radius, measured in centimeters.

Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:

r (t) = \dot r \cdot t

Where:

\dot r - Speed of the circular ripple, measured in centimeters per second.

t - Time, measured in seconds.

The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:

\dot A = 2\cdot \pi \cdot  r \cdot \dot r

\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t

Where:

\dot A - Rate of change of the circular area, measured in square centimeters per second.

\dot r - Speed of the circular ripple, measured in centimeters per second.

t - Time, measured in seconds.

If \dot r = 60\,\frac{cm}{s}, then:

a) t = 1\,s

\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)

\dot A \approx 22619.467\,\frac{cm^{2}}{s}

b) t = 3\,s

\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)

\dot A \approx 67858.401\,\frac{cm^{2}}{s}

c) t = 5\,s

\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)

\dot A \approx 113097.336\,\frac{cm^{2}}{s}

The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

6 0
4 years ago
Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?
Murljashka [212]

Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

5 0
4 years ago
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Square root 3a-2 = square root a/b (make b the subject)
Taya2010 [7]

Answer:

b = \frac{a}{3a-2}

Step-by-step explanation:

Given

\sqrt{3a-2} = \sqrt{\frac{a}{b} }

Clear the radicals by squaring both sides

(\sqrt{3a-2} )² = ( \sqrt{\frac{a}{b} } )², that is

3a - 2 = \frac{a}{b} ( multiply both sides by b )

b(3a - 2) = a ← divide both sides by (3a - 2)

b = \frac{a}{3a-2}

6 0
4 years ago
Read 2 more answers
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