Let f(x) = x^6( x − 8 )^7 / (x^2 +2)^2
Use logarithmic differentiation to determine the derivative.
f ' (x) =________

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

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Answer:

no its b

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

1 1/2 = 2/2 + 1/2 = 3/2 = 6/4

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.

Answer:

I don't under stand the question can u write more clearly

Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5

The average tapes used in those 3 days was:

= (35 + 60 + 25) / 3

= 120 / 3

= 40 tapes

The total number of tapes that can be used are:

= 50 + 50 per rack

= 100 tapes

The fraction of the average is:

= 40 / 100

In the lowest term this is:

= 2 / 5

In conclusion, the fraction is 2/5

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Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

Take L.H.S sin2A+sin2B/sin2A-sin2B

= sin2A+sin2B/sin2A-sin2B

Put

[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]

[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]

= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)

= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)

= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)

= tan(A+B).cot(A-B)

= tan(A+B).1/tan(A-B)

= tan(A+B)/tan(A-B)

∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

Answer:

Step-by-step explanation:

Not sure what you require but (165/750) * 100

= 0.22 * 100

= 22% are children

Answer:

B(2,1). And C(-2,3)

Step-by-step explanation:

Tbh, you can just plug the numbers into the original equation :2x+3y=5

A.2x2+3x3=13 ≠5

B.2x2+3x1=5=5

C.-2x2+3x3=5=5

D.-2x2+3x0=-4≠5

So the answer is B and C lies on the line

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

Answer:

b part 20 t or i think c part 2t +6

Answer:

1/10

Step-by-step explanation:

The permutation only occurs once during the 10 trials hence 1/10

Answer:

59

Step-by-step explanation:

hope it helps brainliest pls

Answer:

54mile equal to 81km

8mile equal to 12km

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

Answer:

its 10 :)

Step-by-step explanation:

Number of points scored in a basketball game is related to the number number of shots taken during the game as below:

X=number of shots taken

Y=number of points scored

Given,

X=50

Y=75

As relation given,

Y=5.0+1.2×X

When x is 50 Y= 5+1.2×50=65

∴The residual score for his team during the game is= 75-65

                                                                                      ⇒10  

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Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Answer:

Approximately [tex]\text{$0.26$ radian}[/tex] every minute.

Step-by-step explanation:

Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)

[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].

Calculate the circumference of this circle:

[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].

Find the time required (in minutes) for this vehicle to go around this circle:

[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].

A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:

[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:

[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

Answer:

19

Step-by-step explanation:

f(x)= -3x-2

f(-7)= -3(-7)-2

     = 21 - 2

     = 19

hope this helps! :D

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)

I understand if this a little difficult to understand and i sincerely apologize for that..

Answer:

$4.50 for 2 bags of dog food

Step-by-step explanation:

To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.

$6.75 / 3 = $2.25

Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.

$2.25 * 2 = $4.50

$4.50 for 2 bags of dog food

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

Answer: 50/63 or 0.793650

Step-by-step explanation:

Answer:

Step-by-step explanation:

The conjugate of the given is:

Find their product:

The three consecutive terms in an AP are (k+1) ,3k and (4k+2)

We know that

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

now ,

Let a = k+1 , b = 3k and c = 4k+2

⇛3k = (k+1+4k+2)/2

⇛3k = (5k+3)/2

⇛2×3k = 5k+3

⇛6k = 5k+3

⇛ 6k-5k = 3

⇛ k = 3

The value of k = 3

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Answer:

8+h

Step-by-step explanation:

Simply substitute x = 2+h and x = 2 in.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]

Therefore, the answer is h+8 or 8+h.

Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.

The definition of derivative is:

[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]

Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.

Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.

[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]

Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]