Find the circumference and area of a circle with radius 8 cm. Express
your answer in terms of pi​

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

[tex]y=kx[/tex]

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]

For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]

For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]

therefore

The value of k is equal to 3

The linear equation is

[tex]y=3x[/tex]

or

[tex]Height=3Width[/tex]

Answer:

I had done this on A P E X and it said it was 80

Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.

Hope this helps, if not, comment below please!!!

Answer:

The answer is 14.

Step-by-step explanation

33-5=28

28/2=14

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.

To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:

d = (10/9) * (3/2) = 30/18 = 5/3

Therefore, d = 5/3 or d ≈ 1.67.

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1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

Learn more about fractions at:

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Amount of milk add by customer is 1/9 pint of liquid

Given that;

Holding capacity of cup = 7/9 pint of liquid

Liquid fill by Emily = 2/3 pint of liquid

Find:

Amount of milk add by customer

Computation:

Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily

[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]

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Answer:

7/8 decimal form: 0.875

Step-by-step explanation:

28        4

----   ÷   ----   = 7/8

32        4      

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]

The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:

y - y₁ = m(x - x₁)

For the line that passed through the point (8, 9) and has a slope of -3/4

x₁ = 8, y₁ = 9, and m = -3/4

Substitute these values into the equation y - y₁ = m(x - x₁)

[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]

Express the equation above in the form y = mx + c

[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]

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Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

Answer:  

Step-by-step explanation:

you need to divide 10 by 2/3.

Katty has 10/1 tanks of gas fuel in his truck. He uses 2/3 of it each day.

Answer: The speed of the faster lane is 800 km/hour and the slower plane is 600 km/hour

Step-by-step explanation:

The speed of the faster plane is 800 km/h and the speed of the slower plane is 600 km/h.

The given parameters:

Distance traveled by both planes, d = 3600 km

The distance traveled by both planes is the same;

d = u(t + 1.5) ---(1)

d = (v - 200) (t + 1.5)

3600 = vt + 1.5v - 200t  - 300  

d = vt  ----(2)

3600  =  vt

[tex]v = \frac{3600}{t}[/tex]

[tex]3600 = \frac{3600}{t} t \ +\ 1.5 (\frac{3600}{t} ) \ - \ 200 t - 300\\\\3600 = 3600 + \frac{5400}{t} - 200t - 300\\\\300 = \frac{5400}{t} - 200t\\\\300t = 5400 - 200t^2\\\\200t^2 +300t - 5400 = 0\\\\2t^2 + 3t- 54= 0\\\\(2t - 9)(t + 6)= 0\\\\t = 4.5 \ \ or \ \ -6 \ \\\\t = 4.5 \ hours[/tex]

The speed of the faster plane is calculated as;

[tex]v = \frac{3600}{t} \\\\v = \frac{3600}{4.5} \\\\v = 800 \ km/h[/tex]

The speed of the slower plane is calculated as follows;

[tex]u = v- 200\\\\u = 800 - 200\\\\u = 600 \ km/h[/tex]

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Answer:

exponential function

Step-by-step explanation:

Answer:

The swimming pool will contain approx [tex]8243\ gal[/tex] of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are [tex]20\ feet[/tex] diameter with a height of [tex]3.5\ feet.[/tex]

Also, [tex]1\ ft^3 =7.5\ gal[/tex]

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be [tex]\pi r^2h[/tex]

The height [tex](h)[/tex] is given as [tex]3.5\ feet.[/tex] To calculate radius [tex](r)[/tex] we will divide the diameter by two.

The radius of the cylinder would be [tex]\frac{20}{2}=10\ feet[/tex]

Plug these values in the formula we get,

[tex]\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3[/tex]

Now, it is given [tex]1\ ft^3 =7.5\ gal[/tex]

So, [tex]1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal[/tex]

The swimming pool will contain approx [tex]8243\ gal[/tex] of water.

To find the volume of the cylindrical pool, calculate the radius, then use the formula for the volume of a cylinder, finally convert the volume to gallons. The cylindrical swimming pool can contain approximately 8267 gallons of water.

Answer:

A. -x^2-13x+15

Step-by-step explanation:

-4x^2 + 3x^2 = -x^2

-8x + -5x = -13x

6 + 9 = 15

-x^2-13x+15

There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.

Let's define the number of first class passengers as x and the number of tourist class passengers as y.

We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360

We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12

So, there are 12 first class passengers.
Using y = 52 - x, we find:

y = 52 - 12 = 40

Thus, there are 40 tourist class passengers.

Answer:

cost of a chicken $7.25

cost of a duck $4.25

Step-by-step explanation:

Let c represent chickens and d represent ducks

50 chicken + 3 ducks = $550 ➡ 50c + 30d = $550

44 chicken + 36 ducks = $532 ➡ 44c + 36d = $532

Now find the difference of equations

(50c + 30d) - (44c + 36d) = $550 - $532

6c - 6d = $18

6×(c-d) = $18 divide both sides by 6

c - d = $3 Now we can use this information to find the cost of a chicken and duck

50c + 30d = $550

c - d = $3 multiply second equation by 30

30 × (c-d) = $3 ➡30c - 30d = $30

Now add this new equation we found to the very first equation

30c - 30d + 50c + 30d = $550 + $30 (-30d will eliminate 30d)

80c = $580 divide both sides of the equation by 80

c = $7.25

We know that c - d = 3 so now replace c by $7.25 the price we just found

$7.25 - d = $3

$7.25 - $3 = d

$4.25 = d

Answer:

21a

Step-by-step explanation:

yes they are equal.. all you need is just to add all the number to get your answer!

Answer:

21a

Step-by-step explanation:

because ,

4a+4a+3a =11a

and 7a+3a=10a

and they are equal so what you need is that

just to add them and for maths (and) means addition ..... so therefore the answer is 21a

Final answer:

The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.

Explanation:

First, let's state the degree and identify the term with the greatest degree.

So, in summary:

1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.

2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = [tex]\frac{2-0}{0+1}[/tex] = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

Final answer:

Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.

Explanation:

Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.

Total hours in a weekend: 48 hours

Sleeping hours: 16 hours

Awake hours: 48 hours - 16 hours = 32 hours

Now, we convert 32 hours to a fraction of the weekend.

Awake fraction: 32 hours / 48 hours = 2/3 of the weekend

Next, we convert this fraction to a percentage.

Awake percentage: (2/3) × 100 = 66.67%

Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.

Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = y2-y1/x2-x1

1 -3 . 3 1

(1 - (-3))/(3-1)

4/2

2

Slope = 2

y = mx + b

y = 2x -5

1. Slope of given line = -1/2

2. Slope of line parallel to given line = -1/2

3. Slope of line perpendicular to given line = 2

Step-by-step explanation:

1. Slope of Given line:

We can see that there are two points on the line(highlighted by dots)

Let the two points be (x1,y1) and (x2,y2)

Then

(x1,y1) = (2,2)

(x2,y2) = (-2,4)

The formula for slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]

Hence, the slope of given line is -1/2

2. Slope of line parallel to given line

Let [tex]m_1[/tex] be the slope of the line parallel to given line.

The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.

So,

[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]

Hence,

The slope of line parallel to given line will also be -1/2

3. Slope of line perpendicular to given line:

Let m_2 be the slope of line perpendicular to given line

The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"

So,

[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]

Hence,

The slope of line perpendicular to given line is: 2

Keywords: slope, parallel lines

Learn more about parallel lines at:

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what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz

Answer:

45 divided by 9 equals 5

Step-by-step explanation:

Answer:1

Step-by-step explanation:

-5x=-2x-3

-5x+2x=-3

-3x=-3

X=1

Answer:

X=3/7

Step-by-step explanation:

Answer:

there amount would be 108,000

Step-by-step explanation:

um...

123,000 - 15,000

= 108,000

give me brainly :)

Answer:

[tex]x=6\\ \\y=-6[/tex]

Step-by-step explanation:

Given the system of two equations:

[tex]\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.[/tex]

Add these two equations (left side add to left side and right side add to right side):

[tex]-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6[/tex]

Substitute [tex]y=-6[/tex] into the first equation:

[tex]-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6[/tex]

81k^2 - m^2 factors to

(9k + m)(9k - m)

Prove this by FOILing.

First - 81k^2

Outer - (-9km)

Inner - 9km

Last - (-m^2)

Put it into equation form

81k^2 - 9km + 9km - m^2

And combine terms to get the original equation,

81k^2 - m^2.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

(9k+m) X (9k - m)

Step-by-step explanation:

81[tex]k^{2}[/tex] - [tex]m^{2}[/tex]

= (9k)^2 - (m)^2 ( taking the square roots)

=(9k+m) (9k - m)

here we have applied the rules of a^2 - b^2 = ( a+b) ( a -b)

here 9k is taking as a and m is taking as b

thus you get your answer.

hope it helps.

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

Answer:

a

Step-by-step explanation:

Answer:

14 minutes

Step-by-step explanation:

8 + 6 = 14

Answer:

greater

Step-by-step explanation: