3x³ = -16x² - 21x
Solve for x

Answer:

a) constant of proportionality = 196

b) constant of proportionality represents the speed of the airplane in miles per hour

Step-by-step explanation:

The proportionality relationship is

y ∝ x where y = distance flown in miles and x is time in hours

This can be modeled as an equation
y = k. x  where k is the constant of proportionality

The equation given is y = 195x so 195 is the constant of proportionality , it is basically the speed of the airplane in mph

The quadrant in which the angle theta as described in the task content is located is; Quadrant II.

It follows from the task content that the angle theta described has; it's tan value to be negative and it's sine value to be positive.

Hence, since only sine of angles is positive in quadrant II while tan and cosine values are negative, it follows that the quadrant where theta is located is; Quadrant II.

Read more on quadrants;

https://brainly.com/question/27348520

#SPJ1

Answer:

{-1 , 8}

Step-by-step explanation:

The domain is simply all of the x values. Since the ordered pairs are written as (x, y) ...Find the domain by listing all the x values from the relation (which in this case is the first value in each of the parentheses).

The equation of the line is y = 5x + 35

The equation of a line can be represented in a slope intercept form as follows:

y = mx + b

where

Therefore, line that are parallel have the same slope.

Therefore, if line one slope is 5, then the slope of the unknown line will be 5.

Hence,

y = 5x + b

let's find the y-intercept using (-8, -5)

-5 = 5(-8) + b

-5 = -40 + b

b = -5 + 40

b = 35

Therefore, the equation of the line is y = 5x + 35

learn more on equation of a line here: https://brainly.com/question/14200719

#SPJ1

Answer:

the answer would be D. x/7=9

Step-by-step explanation:

-

Normal model for sizes is (7,1)

Here 5% of female customer have foot size in between 6-10

a)We were told that there are dress shoes in sizes 6 to 10 point, and the tailor believes that, with the exception of 5% of his female customers, the shoe would fit almost everyone. As a result, it accounts for 95 percent of female customers or women who try on his shoes, and we've been asked to determine what standard model for sizes is consistent.

b)The mean is 8 and the standard deviation is 2 points. So, we can say that x follows a normal model with a mean of 8 and a variance of 4 point right and in part b, we were asked whether a retailer should order more shoes in sizes 4 and 5 or more shoes in sizes 11 and 12 point so the best way to do this is to draw a balk curve or the symmetric table. So let's try to graft that together. draw it out to begin with so an important feature of the normal curve of the ball curves that it's always symmetric about the mean.

To learn more about Consistent from the given link:

https://brainly.com/question/3935025

#SPJ9

48 persons make up a party. There are seven times more adults than children in the world. Males outnumber females two to one. If the party has five girls. The total number of male adults are15

The total number of people are in the party is equal to 48

Let the number of children be x

So, the number of adults in the party is equal to 7 x

x + 7 x =48 ( This is a linear equation)

So, the number of children in the comes to be 6

Number of adults in the party = 6 * 7 = 42

Now let number of males be y

So total number of females = 2 y

Y+2y = 48 ( This is a linear equation)

Y=16

Therefore, the number of males is 16 and number of females is 32

Number of children in the party is 6 and female child is equal to 5

Then, number of male children =6-5 = 1

So total males in the party is equal to 16

Adult males =total number of males - number of male children

=16 - 1 = 15

Hence the total number of male adults =15

To know more about  linear equations brainly.com/question/11897796

#SPJ9

The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

Read more about equations at

https://brainly.com/question/13763238

#SPJ1

Answer:

16.1 is the answer

Step-by-step explanation:

17.0-0.9= 16.1

Answer:

16.1

Step-by-step explanation:

take 0.9 from 17=16.1

Answer:

Step-by-step explanation:

Answer: x=120; y=170.

Step-by-step explanation:

1) it is possible to make up the  the system of two equations from these two given equations:

[tex]\left \{ {{5x+7y=1790} \atop {x+y=290}} \right.[/tex]

2) the solution of the system above:

[tex]\left \{ {{5x+7y=1790} \atop {5x+5y=1450}} \right. \ = > \ \left \{ {{2y=340} \atop {x+y=290}} \right. \ = > \ \left \{ {{y=170} \atop {x=290-y}} \right. \ = > \ \left \{ {{y=170} \atop {x=120}} \right.[/tex]

3) finally, (120;170).

Answer:

3^5

Step-by-step explanation:

substract the index of the number

Answer:

Step-by-step explanation:

It takes Layla 45 minutes to make 9 bracelets on her own.

45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.

Layla and Amelia can make 9 bracelets in 20 minutes.

20 divided by 9 equals 2 and 2/9.

5 - 2 2/9= 2 7/9

2 7/9 times 9 equals 25

Amelia can make 9 bracelets in 25 minutes

So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.

this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.

so sorry if i'm wrong :(

Answer:

[tex]\textsf{d)} \quad \dfrac{5}{6}, \quad \dfrac{25}{6}[/tex]

Step-by-step explanation:

Given:

[tex]12 \cos \left(\dfrac{2 \pi}{5}x\right)+10=16, \quad \textsf{when}\; \left(\dfrac{2 \pi}{5}x\right)\; \textsf{is in radians}.[/tex]

Subtract 10 from both sides of the given equation:

[tex]\implies 12 \cos \left(\dfrac{2 \pi}{5}x\right)=6[/tex]

Divide both sides of the equation by 12:

[tex]\implies \cos \left(\dfrac{2 \pi}{5}x\right)=\dfrac{1}{2}[/tex]

Take the inverse of cosine of both sides:

[tex]\implies \dfrac{2 \pi}{5}x = \cos^{-1}\left(\dfrac{1}{2}\right)[/tex]

[tex]\implies \dfrac{2 \pi}{5}x =\dfrac{\pi}{3}+2 \pi n, \dfrac{5 \pi}{3}+2 \pi n[/tex]

Multiply both sides by 5:

[tex]\implies 2 \pi x=\dfrac{5 \pi}{3}+10 \pi n, \dfrac{25 \pi}{3}+10 \pi n[/tex]

Divide both sides by 2π:

[tex]\implies x=\dfrac{5 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}n, \dfrac{25 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}[/tex]

Simplify:

[tex]\implies x=\dfrac{5}{6}+5n, \dfrac{25}{6}+5n[/tex]

The two smallest possible solutions for x are when n = 0:

[tex]\implies x=\dfrac{5}{6}, \quad x=\dfrac{25}{6}[/tex]

Using a linear function, given by S(x) = 10 + 2x, we have that:

A linear function is modeled by:

y = mx + b

In which:

One example is a person with savings of $10, and the amount increases by $2 each week, hence the relation is:

S(x) = 10 + 2x.

In which:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: square prism

Step-by-step explanation: It is a square prism. All angles are 90°. rectangular faces and 2 square faces, 8 vertices and 12 edges. It is also a prism because it has the same cross-section along a length.

Answer:

area of a square= s^2

so the each side is 8

The amount at the end of three years is 1.06 times the initial amount.

Rate = 2%

Time = 3 Years

Let the principal amount be P

Simple interest = P * R * T

SI = ( P * 2 * 3 ) / 100

= 6P/100

= 0.06P

Amount = P + SI

= P + 0.06P

= P(1 + 0.06)

= 1.06P

The amount at the end of three years is 1.06 times the initial amount.

Learn more about interest here

https://brainly.com/question/20690803

#SPJ9

Answer:

1/4 of 12 is 3, so if he has 3/4 of the total cost saved up, add 12+3, which is $15, which is the total cost of the game.

Step-by-step explanation:

Answer: y=−5/2x+4

Step-by-step explanation:

Put it into a app

Using proportions, it is found that:

a) They can paint 2.8 pictures in one hour.

b) The rate per hour is of 131.2 magazines.

c) The unit rate is of 0.86 problems per minute.

d) He can make 92.5 tacos in one hour.

e) He walks 3.75 miles in one hour.

The code is of 148.79.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:

4/5/(2/7) = 4/5 x 7/2 = 2.8.

They can paint 2.8 pictures in one hour.

For item b, we have that:

328/2.5 = 131.2.

The rate per hour is of 131.2 magazines.

For item c, we have that:

15/17.5 = 0.86.

The unit rate is of 0.86 problems per minute.

For item d, we have that:

185/2 = 92.5.

He can make 92.5 tacos in one hour.

For item e, we have that:

0.75/0.2 = 3.75.

He walks 3.75 miles in one hour.

For the code, the letters are given as follows:

E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.

Hence the code is given by:

E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.

The code is of 148.79.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Given:

y=0, y+10+10  

statement of equality between two expressions consisting of variables and/or numbers

to solve the equation y+10+10, if y=0

substitute the value y=0, in the equation

which is equal to y+10+10= 0 +10 + 10 = 20

so the final answer is 20.    

#SPJ9  

Answer:

x = (9/26)

Step-by-step explanation:

22x + 1 + 2x + 2 = 12 - 2x

24x + 3 = 12 - 2x

+2x               +2x

26x + 3 = 12

        -3    -3

26x = 9

÷26   ÷26

x = (9/26)

I hope this helps!

The younger sister is 29.

The older sister is 49.

Mr Fishman's age is 47.

Let:

The difference between the older sister and younger sister's age: y - x = 20 equation 1

Mr Fishman's is 11 years less than twice his young sister's age: 2x - 11 = c equation 2

The difference between Mr Fishman and his older sister's age : y - c = 2

y  - 2 = c equation 3

Let equation 2 and 3 be equal : 2x - 11 = y - 2

2x - y = 11 - 2

2x - y = 9

-y + 2x = 9 equation 4

The two equations that would be used are:

y - x = 20 equation 1

-y + 2x = 9 equation 4

Add both equations together

x = 29

Substitute for x in equation 1

y - 29 = 20

y = 29 + 20

y = 49

y - c = 2

49 - c = 2

c = 49 - 2

c = 47

To learn more about linear equations, please check: https://brainly.com/question/180305

#SPJ1

12th term of the geometric sequence is 97,656,250

In the given statement is:

Find the 12th term of the geometric sequence 2,10,50

What is Geometric Sequence?

A Geometric Sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Now, to find the 12th term of geometric sequence:

Formula of Geometric Sequence:

[tex]a_{n} =a_{1}r^n^-^1[/tex]

[tex]a_{1}=2\\ \\[/tex]

r = 10/2 =5

[tex]a_{12}=2(5)^1^2^-^1\\ \\a_{12}=2(5)^1^1\\\\\\a_{12}=2(48,828,125)\\ \\a_{12} = 97,656,250[/tex]

Therefore, 12th term of the geometric sequence is 97,656,250

Learn more about Geometric Sequence at:

https://brainly.com/question/17276570

#SPJ1

Based on the relationship between the age of a tree and the inches in diameter, the age of a tree with 12 inches diameter is 100 years old.

The relationship between the age of a tree and the length of its diameter is such that from 4 inches in diameter, the age of the tree increases by 10 years for every 1 inch increase in diameter.

The last number of years shown in the table is 60 years which corresponds with 8 inches.

The number of years that a 12 inch tree would be is:

9 inches = 70 years

10 inches = 80 years

11 inches = 90 years

12 inches = 100 years

In conclusion, the tree would be 100 years.

Find out more on the age of trees at https://brainly.com/question/3208279

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Hope this helps :)

1. 25 ÷ 5 = 5

2. 25

---- <----- fraction bar means divide too

5

1. 90 ÷ 5 = 18

2. 90

---- <------- fraction bar means divide too

5