Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

Answer:

Range={ -5,-1,3,7). [ option C]

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

Answer:

m=-16

Step-by-step explanation:

To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-35=m-19

19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.

-35+19=m-19+19

-35+19=m

-16=m

Let's check our solution. Plug -16 back in for m in the original equation.

-35=m-19

-35=-16-19

-35=-35

Both sides of the equation are the same, so we know that m is equal to -16.

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

Answer:

[tex]2c^{2}[/tex]

Step-by-step explanation:

[tex]\frac{8c^33d^2}{4cd^2}[/tex]

[tex]\frac{2c^2d^0}{1}[/tex]

Answer:

[tex]2 {c}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]

we know that,

[tex] {d}^{0} = 1[/tex]

so,

[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

Answer: 480 ml

The greatest amount of fizzy drink can he make is 480 ml

Step-by-step explanation:

Given;

Mixing ratio = 5 : 3

Volume of lime juice = 300ml

Volume of lemonade = 200ml

From the given ratio;

5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.

Assuming all the lemon juice were used;

For 300ml of lemon juice,

It'll require 300/5 × 3 ml of lemonade.

Volume of lemonade needed V2= 300/5 × 3 = 180 ml

Volume of fizzy drink = volume of lemon juice + volume of lemonade

Volume of fizzy drink = 300ml + 180ml = 480ml

The greatest amount of fizzy drink can he make is 480 ml

Answer:

the answer is c

Step-by-step explanation:

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft

[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]

Answer:

x = 1⅔ or -1

Step-by-step explanation:

6x² -4x - 10

a=6, b=-4, c=-10, ac= -60

factors -10 & 6

6x² + 6x - 10x -10 =0

(6x² + 6x) - (10x - 10) =0

6x(x +1) - 10(x+1) =0

(6x-10)(x+1)=0

6x-10=0 or. x+1=0

6x= 10 or x= -1

x= 10/6 or. x= -1

x=1⅔ or x= -1

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

Answer:

what u need help with

Step-by-step explanation:

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.

Answer:

[tex]4-i[/tex]

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

[tex]\sqrt{a^2+b^2}[/tex]

[tex]a+bi[/tex]

[tex]4-i[/tex]

[tex]\sqrt{4^2-i^2}[/tex]

[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]

The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

Complex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:

[tex]r = \sqrt{a^{2}+b^{2}}[/tex]

If we know that a = 4 and b = -1, then the magnitude of the complex number is:

[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]

[tex]r = \sqrt{17}[/tex]

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

The statement presents several typing mistakes, correct form is shown below:

Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?

A. 2 + i 15

B. 17 + i

C. 20 - i 3

D. 4 - i

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5

Answer:

35 and 21

Step-by-step explanation:

the sum of the two lengths of two sides must be greater than the length of the third side.

10+30=40

45 doesn't work: 40<45.

10+19=29

29<30

19 doesn't work

10+21=31

31>30

21 works

35+10=45

45>30

35 also works

Answer:

35 and 21, good luck!! sorry I'm late

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

Answer:

32p

Step-by-step explanation:

the times between 8pm and 11.30pm are:

8pm,9pm,10pm,11pm,11.30pm.

so, find the cost associated with each of them:

8pm: 12p

9pm: 12p

10pm: 12p

11pm:8p

11.30pm: 4p

sum:12+12+12+8+4 = 12 x 4 = 32p

Answer:

[tex]a_{n}[/tex] = 3n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

The expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

Given that,

Sequence; 2, 5, 8, 11, 14.

We have to find, the expression in terms of n for the nth term of the following given sequences?

According to the question,

The nth of the arithmetic sequence is,

[tex]\rm a_n = a+ d(n-1)[/tex]

Where a is the first term of the sequence,

d is the common difference between the terms,

n is the number of terms.

Then,

The given sequence is 2, 5, 8, 11, 14.

Here, the common difference between the terms is 3.

And the first term of the sequence is 2.

Substitute all the values in the formula,

Therefore,

The nth term of the given terms is,

[tex]\rm a_n = a+ d(n-1)\\\\a_n = 2+ 3(n-1)\\\\a_n + 2+3n-1\\\\a_n = 3n-1[/tex]

Hence, The required expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

For more details refer to the link given below.

https://brainly.com/question/17043393

Answer:

2.72

Step-by-step explanation:

the other one copied my answer from another website.

Explanation:

Move all the terms containing a to the left side of the equation

-0.5a+4.96=3.6

Subtract 4.96 from right side

-0.5a=3.6-4.96

Would be

-0.5a=-1.36

Divide each term by -0.5 and simplify

a= 2.72

Answer:

the answer to this is 3

Step-by-step explanation:

hope this helps

Answer:

your answer to this question is 3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.

Answer:

b) 1.6 units

    y = 1.586 ≅ 1.6 units

Step-by-step explanation:

Explanation:-

step(i):-

The sine rule

[tex]\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]

Given  a = 2 and b = y

∠A = 75° and ∠ B = 50°

Step(ii):-

by sine rule

              [tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex]

            [tex]\frac{2}{Sin 75} = \frac{y}{Sin 50}[/tex]

Cross multiplication , we get

         2 × sin 50° = y  sin 75°

          2 × 0.766 = y  × 0.9659

           [tex]y = \frac{ 2 X 0.766}{0.9659} = 1. 586[/tex]

           y = 1.586 ≅ 1.6 units

Answer:

Step-by-step explanation:

Answer:

hey did you happen to get the answer for this?

Step-by-step explanation:

The answer is -2.0 and 2.0

Answer:

240 degrees

Step-by-step explanation:

Mathematically, the area of a circle is

A = 2 * pi * r^2

we need to calculate the radius of the circle first

18pi = 2pi * r^2

divide both sides by 2pi

r^2 = 9

r = 3 inches

Area of sector = angle/360 * pi * r^2

6pi = angle/360 * pi * 3^2

6pi = angle/360 * 9pi

(360 * 6pi)/9pi = angle

40 * 6 = 240 degrees

Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

Mark brainliest please

Answer:

340 songs, 17000/50 = 340 lol

Answer:

340

Step-by-step explanation:

17000÷50=340.

hope this helps

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!