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Virty [35]
2 years ago
8

Determine the slope of the line that contains the points A(0, 2) and B(7,3). *

Mathematics
1 answer:
IgorC [24]2 years ago
5 0

<h3><u>Given</u><u> </u><u>points</u><u>:</u><u>-</u></h3>
  • A (0,2)
  • B (7,3)

We know that

{\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}

  • Substitute the values

\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}

\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}

\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}

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A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24
Hunter-Best [27]

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

8 0
3 years ago
I need help with #3 plz
Nadusha1986 [10]
The correct answer is A. 10 bracelets

5 0
3 years ago
Read 2 more answers
I need to know how to balance the scales it says ''Make the scales balance by using addition and subtraction to find in the miss
kramer

This would be much, much, much easier if you told us
what numbers you do have on each side of the scale now.

The idea (probably) is that the scale is balanced when
the numbers add up to the same amount on both sides.

So you need to put some numbers in the blanks that will either
add more to the side that has less, or subtract some from the side
that has more, to make both sides equal.

6 0
2 years ago
The radius of a circle is 1 centimeter. What is the circle's circumference?
igomit [66]

Answer:

6.28 cm

Step-by-step explanation:

The formula for the circumference of a circle with radius r is C = 2*pi*r.

If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is

C = 2(3.14)(1 cm) = 6.28 cm

6 0
2 years ago
A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple
Liono4ka [1.6K]

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x  = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square  area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48  - x^2

= 578 + 48 square inches

4 0
2 years ago
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