Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y

dy/dx = ?

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

Answer:

Perimeter: 210[tex]yd[/tex]

Area: 2106[tex]yd^{2}[/tex]

good luck, hope this helped :)

Answer:

y=12

Step-by-step explanation:

y=x+8

9=1+8

10=2+8

and so in...

y=?

4+8=12

Answer:

- Colin's third number was 2

- April's sixth number was the same as Colin's first number.

- April's second number was 8.

Step-by-step explanation:

Colin:

First number = 0

Second number = 1

Third number = 2

Fourth number = 3

Fifth number = 4

Sixth number = 5

April:

First number = 10

Second number = 8

Third number = 6

Fourth number = 4

Fifth number = 2

Sixth number = 0

I hope this helps :)

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.

The area of the room will be the multiplication of the dimensions given. This will be:

= 8.74 × 10.3

= 90.022

= 90ft²

Answer:$4.73

Step-by-step explanation:

Answer:

If Kayne is with his two friends, that means there are three people in total.

If there are three people sharing the price of this lunch, each person would have to pay 15.27/3 dollars.

Dividing, we get that each person must pay 5.09 dollars.

Subtracting 5.09 from 20, we have that Kayne will have $14.91 left after paying his share.

Hope this helps!

Part (a)

------------------

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

------------------

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Answer:

Step-by-step explanation:

25

Answer:

819

Step-by-step explanation:

To distribute, multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Answer:

HI INEED HELP TOO

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential function:

Ordered pairs given:

Substitute x and y values to get below system:

Divide the second equation by the first one and solve for b:

Use the first equation and find the value of a:

The function is:

Answer:

[tex]y=5 \cdot 2^x[/tex]

Step-by-step explanation:

An exponential function is written in the form:

We can use the given points that the exponential function passes through to solve for a and b.

Create a system of equations by substituting (1, 10) and (4, 80) into the exponential form of a function.

Divide Equation I by Equation II in order to cancel out variable a.

Now we can solve for a by substituting b back into either equation from the system of equations.

Substitute 5 for a and 2 for b into the form of an exponential function to find the exponential function that passes through (1, 10) and (4, 80).

y = 5 · 2ˣ is the exponential function that describes the graph.

Answer:

Female reachers = 65

Step-by-step explanation:

Given that,

Total teachers in a college = 107

Let there are n male teachers.

Female reachers = n+23

ATQ,

n+n+23 = 107

2n = 107-23

2n = 84

n = 42

Female reachers = 42+23

= 65

Hence, there are 65 female teachers.

Answer:

circumference = 301.44

area =7,234.56

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

96 x 3.14 = 301.44

area = 3.14r^2

radius = d/2

radius = 48

3.14(48^2)

area =7,234.56

Answer:

C. and D.

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

4x + 10- 25

Answer:

hyujd6dssgshfjf kryaydfhfvjmbnno vfifufiigbff

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the line

The equation is expressed as y = MX+c

m is the slope

c is the intercept

Get the slope

Using the coordnate (10, 15) and (20, 30)

m = 30-15/20-10

m = 15/10

m = 1.5

Get the intercept

Substitute m = 1.5 and (10, 15) into y = mx+c

15 = 1.5(10) + c

15 = 15+c

c = 0

Get the equation

y = mx+c

y = 1.5x+0

y = 1.5x

Hence the required equation is y = 1.5x

Answer:

y=1.5x

Step-by-step explanation:

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

Using a 0.5 test of significance, the null and the alternate hypotheses are:

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

Read more about probabilities at:

https://brainly.com/question/6476990

Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer:

D

Step-by-step explanation:

the 'x' term is squared but not in the denominator