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deff fn [24]
2 years ago
8

What is the slope of a line with points (5.5,2.2)(11,4.4)?

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

Slope=2.2/5.5 or 0.4

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Hence:

slope=(4.4-2.2)/(11-5.5)

slope=2.2/5.5=0.4

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A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0
3 years ago
Find the equation of the line given the slope and the y-intercept
GREYUIT [131]

Answer:

y = \frac{1}{2}x + 3

Step-by-step explanation:

The equation for a linear graph is usually written in the following format...

y = mx + b

Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...

y = \frac{1}{2}x + 3

7 0
2 years ago
joe earns R25 per hour working at a pizza shop. How much will he earn over a weekend of two shifts, each six hours long​
NeX [460]

Answer:

R300

Step-by-step explanation:

<u>To solve:</u>

  • Multiply 25 by 6 to represent the earnings of a shift.
  • Multiply the shift earnings by 2 to represent how much he earned over the weekend.

<u>Multiply</u><u> </u><u>25 by 6:</u>

25 \times 6 = 150

<u>Multiply 150 by 2:</u>

<u>150 \times 2 = 300</u>

Joe will earn R300 over the weekend,

6 0
2 years ago
What is the simplified expression for 3^3• 3^3/3^4?<br>A. 3^0<br>B.3^1<br>C.3^2<br>D.3^4​
Klio2033 [76]

Answer:

C

Step-by-step explanation:

It is C because multiplying exponents means you add the top number while dividing means subtract.

8 0
3 years ago
Read 2 more answers
The magnitude and direction exerted by two tugboats towing a ship are 1680 kilograms, N40°W, and 1280 kilograms, S60°W, respecti
Lemur [1.5K]

Answer:

567

Step-by-step explanation:

because

3 0
2 years ago
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