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amm1812
3 years ago
9

Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4
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Can someone help me please
Blizzard [7]

Answer:

Area=76.56 square feet

Step-by-step explanation:

area of a rectangle =base*height = 5ft*8ft= 40 square feet

area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet

area of a square=base*height =4ft*4ft= 16 square feet

area of a circle =\pi* r^{2}[/tex]=3.14*2^{2}= 12.56 square feet

r = radius

Total area=(40+8+16+12.56)square feet

Total area=76.56square feet

3 0
2 years ago
Which graph represents the solution set of y = x2 + 4x + 3 and y = 2x + 6?
dybincka [34]
I hope this helps you x^2+4x+3=2x+6 x^2+2x-3 =0 x +3 x -1 (x+3)(x-1)=0 x+3=0 x= -3 x-1=0 x=1
3 0
2 years ago
Read 2 more answers
Need po ang answers ASAP nganong po exam namin
Sonja [21]
Opposite of the integers:
+56
+340
-39
-201
-1124

Solid figures:

Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid
8 0
2 years ago
The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time
olchik [2.2K]

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

4 0
3 years ago
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
3 years ago
Read 2 more answers
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