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2 years ago

What is the average rate of change for this quadratic function for the interval fr x=2 to x=4?

Mathematics

1 answer:

myrzilka [38]2 years ago

8 0

Answer:

0-4

derivate first

function is missing

substitute the value of X

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What side lengths should be used to model the rectangle

Bas_tet [7]

Well there aren’t any pictures so yea

8 0

3 years ago

The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove

antiseptic1488 [7]

Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

$log(\frac{I}{12})=-0.025x$

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

$log(\frac{I}{12})=-0.025(24)$

$log(\frac{I}{12})=-0.6$

$\frac{I}{12}=10^{-0.6}$

$\frac{I}{12}=0.2512$

$I=3.0143$

Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 lumens

Substitute I=7 in above formula.

$log(\frac{7}{12})=-0.025x$

$-0.23433=-0.025x$

$0.23433=0.025x$

$x=\frac{0.23433}{0.025}$

$x=9.3732$

Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

3 0

3 years ago

What is 10/12 as a decimal ?

ZanzabumX [31]

<span>0.833333333333333 is the answer</span>

5 0

3 years ago

Read 2 more answers

HOW TO DO THIS QUESTION PLEASE

Mariulka [41]

Answer:

Try 5 first. If that is marked wrong, try 5.07

Step-by-step explanation:

Estimate means put your calculator on the other side of the room. You are to do this in your head.

78 is nearly 80

69 is nearly 70

29 is nearly 30

So now do the question

80 + 70 = 150 because 8 and 7 = 15.

150 / 30 = 50 because 15/3 = 5

So the answer that should be right for this question should be 5

Let's see how close that is.

78 + 69 = 147

147 / 29 = 5.07

4 0

3 years ago

Read 2 more answers

Solve the equation on the interval 0 less than or equals theta less than 2 pi .0≤θ<2π. secant StartFraction 5 theta Over 4 En

qaws [65]

Answer: 4π/15, 4π/3 and 28π/15 (in radians)

Step-by-step explanation:

$sec 5\theta/4 =2$

Recall that $sec \theta = 1/cos \theta$

$1/cos (5\theta/4) =2$

$cos (5\theta/4) =1/2$

$Cos^{-1}$ $\frac{1}{2}$ = $5\theta/4$

This implies that

$\mp60+360n=5\theta/4$

$\theta=4/5(\mp60+360n)= \mp48+288n$

$When n=0, \theta=48$

$When n=1, \theta=240, 336$

Therefore the values of $\theta$ between 0 and 2π are 48, 240 and 336. (All in degrees)

48 degrees= 4π/15 rad

240 degrees =4π/3 rad

336 degrees = 28π/15 rad

5 0

3 years ago