y+x2÷2 when x=4 and y=−3.

Answer:

[tex]\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \cos^4 (5x^2)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

0.3 or 1/3

Step-by-step explanation:

add 4/5 + 3/15=1

then 1-2/3 = 1/3

Answer: 1/3

[tex]\frac{4}{5}+\frac{3}{15}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{3}{3.5}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{1}{5}-\frac{2}{3}\\\\=1-\frac{2}{3}\\\\=\frac{3}{3}-\frac{2}{3}\\\\=1/3[/tex]

Step-by-step explanation:

Answer:

4.15

Step-by-step explanation:

Minus it all

15 minus 6.25 is 8.75

8.75 minus 2.95 equals 5.8

5.8 minus 1.65 equals 4.15

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Answer:

217,600

Step-by-step explanation:

Multiply all the sides

Answer:

2; 3; 80; 1; -40; 1; -240 (answered from left to right then the next line)

Step-by-step explanation:

This is a question on fractions and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

240

Step-by-step explanation:

k/3+80=k/2+120

K/3-k/2=120-80

3k-2k/6=40

K/6=40

K=240.

So the value of k is 240.

Answer:

$826.70

Step-by-step explanation:

If 75 t-shirts cost $ 424, it implies that the value of each shirt is $ 5.65 (424/75). Now, in the case of the 50 shirts, the total value is $ 299, with which the value of each unit is $ 5.98.

Thus, we can see that in an increase of 50% of the units (from 50 to 75), the discount is of the order of, as it arises from the following calculation:

5.98 = 100

5.65 = X

((5.65 x 100) / 5.98) = X

94.48 = X

Thus, since 100 - 94.48 is 5.52, the discount made for the 25 shirts is 0.22% each unit (5.52 / 25). Thus, in the case of printing 170 t-shirts, taking into account this tariff system, and taking as a base price that of 50 t-shirts at $ 299, a discount of 0.22% would be made on each of the 120 remaining t-shirts. Thus, 120 t-shirts at $ 717.6 (5.98 x 120) would be added to the initial $ 299, on which a 26.4% discount (0.22 x 120) would be applied, with which the final price would be $ 527.7 (717 x 0.736).

Thus, the total price of the shirts would be $ 826.7 (that is, adding the base price of $ 299 plus the price of the 120 extra shirts of $ 527.7).

Answer:

f(0)=1

f(1)=4

f(5)=-4.5

Step-by-step explanation:

0 and 1 are in the second domain, so you use the second equation

(0+1)^2=1^2=1

(1+1)^2=2^2=4

5 is in the third domain, so you use the third equation

-1/2(5)-2=-2.5-2=-4.5

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

Answer:

-5.5

Step-by-step explanation:

divide both sides by y which deleted y on the right side. then the left side turns into y instead of y squared. then you have y equals -5.5

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

Answer:

A

The value is [tex]P( X < 7 ) =0.26226[/tex]

B

The value is [tex]P( X < 7 ) = 0.00073[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 7.7 lbs[/tex]

   The standard deviation is [tex]\sigma = 1.1 \ lbs[/tex]

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     [tex]P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>   [tex]P( X < 7 ) = P(Z <- 0.6364 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    [tex]P(Z <- 0.6364 ) =0.26226[/tex]

=>   [tex]P( X < 7 ) =0.26226[/tex]

Generally the standard error of mean is mathematically represented as  

       [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }[/tex]

=>     [tex]\sigma_{x} = 0.22[/tex]

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         [tex]P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )[/tex]

=>      [tex]P( X < 7 ) = P(Z <- 3.1818 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      [tex]P(Z <- 3.1818 ) = 0.00073[/tex]

=>      [tex]P( X < 7 ) = 0.00073[/tex]

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

maybe in the 70s actually

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The centroid divides each median in a ratio of 2:1.

Answer:

[1, 0, 0; 0, 1, 0; 0, 0, 1]

Step-by-step explanation:

[1, 2, -1; -1, 3, 3; 0, 2, -1]

Row Operation 1: Add 1 times the 1st row to the 2nd row:

[1,2,-1;0,5,2;0,2,-1]

Row Operation 2: Multiply the 2nd row by 1/5:

[1,2,-1;0,1,2/5;0,2,-1]

Row Operation 3: Add -2 times the 2nd row to the 3rd row:

[1,2,-1;0,1,2/5; 0, 0, -9/5]

Row Operation 4: Multiply the 3rd row by -5/9:

[1,2,-1;0,1,2/5; 0, 0, 1]

Row Operation 5: Add -2/5 times the 3rd row to the 2nd row:

[1,2,-1;0,1,0;0,0,1]

Row Operation 6: Add 1 times the 3rd row to the 1st row:

[1,2,0;0,1,0;0,0,1]

Row Operation 7: Add -2 times the 2nd row to the 1st row:

[1,0,0; 0,1,0;0,0,1]

Answer:

no its not 3 goes to two letter so no

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

option  (a) is correct.

2 + m - 1 + m is an equivalent expression  to the given expression  3m+1-m

Step-by-step explanation:

Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option  (a) is correct.

Answer:

Yes (2,3)

Step-by-step explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

Answer:

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

Step 3: Solve for y

Step 4: Graph

We can graph the systems and check if the point is the actual solution set.

Answer:

Step-by-step explanation:

9.9 + 7.5 + 6.4 = 23.8

7.5 * 6.4 = 48

48 / 2 = 24

Answer:

3.54

Step-by-step explanation:

Well, we know it has to be 3.5 as our ones, and tenths place, (Thats what I did), and we know it can't be less than 3 for our hundredths place

If we do 0.05, or more as our hundredths place, than we won't be rounding right for the tenths place, so it has to be 3.54

The number in question that shows the decimal digits is; 3.54

We are told that the number has;

- Ones

- tenths

- hundredths

Thus means that the number is in 2 decimal places.

If we approximate to the nearest tenth and get 3.5, it means that the last number on the right of the decimal which is the hundredths is less than 5. It also means that the first number to the right of the decimal will remain as 5.

We are now told that this hundredths number is greater than 3. Thus, the hundredths number is 4.

If the approximation to the nearest whole number gives 4, it means that the number before the decimal will be 3.

Thus,in conclusion, the number is 3.54.

Read more at; https://brainly.com/question/12458734

Answer:

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

Answer:

36.67 feet / second

We will be using Dimensional Analysis to solve this question

We are given the rate: 25 miles / hour

Converting the Miles to feet:

We know that 1 mile = 5280 feet

So, we can say that [tex]\frac{5280 feet}{1 mile}[/tex] = 1

Multiplying the Given rate by 1:

[tex]\frac{25 miles}{Hour}[/tex] * 1

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{25 miles}{Hour}[/tex] * [tex]\frac{5280 feet}{1 mile}[/tex]                                                          (since 5280 feet/ 1 mile = 1)

here, the 'mile' will cancel out and we will get:

[tex]\frac{25 * 5280 feet }{Hour }[/tex]  

[tex]\frac{132000 feet}{Hour}[/tex]

Converting the Hours to Seconds:

We know that 1 hour = 3600 seconds

So, we can say that:

[tex]\frac{1 Hour}{3600 seconds}[/tex] = 1

Multiplying the Rate by 1:

[tex]\frac{132000 feet}{1 Hour} * 1[/tex]

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{132000 feet}{1 Hour} * \frac{1 Hour}{3600 seconds}[/tex]                                   (since 1 hour / 3600 seconds = 1)

Here, the 'Hour' in the numerator and the denominator will cancel out to make:

[tex]\frac{132000 feet}{3600 seconds}[/tex]

which can be simplified to:

[tex]\frac{36.67 feet}{second}[/tex]

Therefore, 25 mph can also be written as 36.67 feet per second