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jarptica [38.1K]
3 years ago
8

An "a" value of less than 1 produces a graph with an exponential decay . True or false ?

Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

i thinkkkkkk it's true

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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
DochEvi [55]

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0
3 years ago
An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
4 0
3 years ago
A trapezoid has a height of 8 cm and bases with lengths of 14 cm and 8 cm. Tina says the area of the trapezoid is 176 cm2.
Sonbull [250]

Answer:

Step-by-step explanation:

Let's do this properly:

                                 

Area of trapezoid =  average length times height.

Here,

Area = (1/2)(8 cm + 14 cm)(8 cm), or

         = (11 cm)(8 cm) = 88 cm^2

It appears that Tina forgot to divide the sum of 14 cm and 8 cm by 2.  Thus, her answer is twice as large as it should be.

7 0
3 years ago
Read 2 more answers
The scatter plot with trend line below shows the data comparing wind speed and wind
natulia [17]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
Find the distance between the points given.<br> (3, 4) and (6,8)
Damm [24]

Answer:

Slope of 3/4     (3,4) between points

Step-by-step explanation:

7 0
3 years ago
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