Use logarithmic differentiation to find dy/dx. y = (x + 1)(x − 4)/ (x − 1)(x + 4) , x > 4 dy dx =

Edit: I have poor vision! My anwser was incorrect

Answer: m= -3/4

Step-by-step explanation:

can start by looking at the squares of the graph and do the rise over run

. Since it goes down it’s fall over crawl. -3/4

Answer:

-2x-4

Step-by-step explanation:

-3-1-3x+x

-4-2x

Answer:

-2x-4?

Step-by-step explanation:

Assignment on Edge 2021

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The weight of the other block of wood is 400 grams.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.

4 of the blocks of wood each have a weight of 650 grams.

∴ (4×650) = 2600 grams is the total weight.

So, the weight of the other block of wood is (3000 - 2600) grams.

= 400 grams.

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Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Answer:

Prime numbers are positive integers that have only 2 factors: Itself, and 1.

For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.

1 is NOT a prime number as it only has 1 factor which is 1.

Answer:

3x

Step-by-step explanation:

x = original length of the box.

~theLocoCoco

Answer:440 beats

Step-by-step explanation:

The minutes cancel when you multiply.

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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Answer:

cos60=b/h

1/2= b/3

b=  3/2=1.5

again

sin60=p/h

[tex]\sqrt3[/tex]/2= p/3

p =3[tex]\sqrt3[/tex]/2

Step-by-step explanation:

Answer:

1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.

Step-by-step explanation:

easier method:

angle opp. to 30 degrees is 1/2 of hypotonuse:

3/2=1.5 inches

angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:

3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

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Answer:

24,000

Step-by-step explanation:

is simple just 3500 is closer to 4000 than 3000

Answer:

24,000

Step-by-step explanation:

Answer: Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.

Step-by-step explanation: Example: √x+y

√16

12+√x

√3*x²

Answer:

no I'm pretty sure. hope it helps

Answer: No

Step-by-step explanation:

First convert 10 feet to yards and also 20 inches to yards.

10 feet to yards is 3.3 and 20 inches to yards is  0.55

Now add them to see if they equal to 4 or greater than.

0.55 + 3.33= 3.88

3.88 is less than 4 so Anis will not be able to make a fence

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Answer:

Step-by-step explanation:

[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]

Substitute : m=3 into the given equation

[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]

Answer:angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

Answer:

29 and 151

Step-by-step explanation:

Answer:

-136.74

Step-by-step explanation:

Answer:

The answer is 109

Step-by-step explanation:

i'm too lazy to explain the math but that's the answer

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

Answer:

65°

Step-by-step explanation:

Complimentary angles are two angles that add up to 90°

So, to find the unknown angle, simply subtract 25 from 90.

90-25=65

The other angle is 65°

Answer:

5

Step-by-step explanation:

Take the total amount spent and divide it by the cost of each microscope.

$499.50 ÷ $99.90 = 5

Answer:

5

Step-by-step explanation:

Answer:

574.34

Step-by-step explanation:

Answer:

.75x+35

Step-by-step explanation:

you multiply how ever many times you would add .75 in this case you dont know so u would put and x there and 35 is your starting point

Answer:

Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.

15/y

Step-by-step explanation:

A quotient is the answer to a division.

The statement "the quotient of 15 and y" can be written as 15/y

We have,

The statement "the quotient of 15 and y".

This can be written as,

15/y

The expression "15/y" represents the quotient of 15 and y.

When you divide 15 by y, you are calculating the quotient or the result of the division.

The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.

Thus,

The statement "the quotient of 15 and y" can be written as,

15/y

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Rounding 452,906 to each place is

(a) to nearest hundred thousand is 500,000

(b) to nearest ten thousand is 450,000

(c)to nearest  thousand is 453,000

(d) to nearest  hundred is 452,900

(e) to nearest  tens is 452,910

Given :

Round the number 452,906 to each place given below

(a) Round to nearest hundred thousand

In the given number , 4 is in hundred thousand's place

To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places

452,906,  Round to nearest hundred thousand is 500,000

(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we  keep 5 in ten   thousands place . write 0 in remaining places

452,906,  Round to nearest ten thousand is 450,000

(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  thousand is 453,000

(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is  and  0 in remaining places

452,906,  Round to nearest  hundred is 452,900

(e) To round to nearest ten , we have 6 in one's place that is greater than 5.

So add 1 with 0  and write 0 in one's place

To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  tens is 452,910

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Answer:

First part 7 units left and 5 units up

The 2nd part is v ≥-7 and the third part is Y≥5

Step-by-step explanation:

Done it in Edge and got it right :)

The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.

"It is nothing but mean transforming the function from one form to another."

For given question,

We have been given a function [tex]y=\sqrt{x}[/tex]

We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]

We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.

So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.

We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.

So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.

Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.

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