what's the length and width of the actual flower bed.

Explanation:

Let x be the number of people and y be the amount of meat.

They have a proportional relationship:

To find the constant of proportionality k we use the initial information that for 10 people she uses 4 pounds of meat.

x=10 and y=4:

The relationship is:

Now we just have to replace x by 20, 30, 40, 50 and 75 in this relationship and find y

Answer:

Number of people Amount of meat

20 8

30 12

40 16

50 20

75 30

We can use the quadratic formula to solve this question. The quadratic formula is given below.

In our case,

Then, the solutions are

The solutions are 1/2+sqrt(3)/2 and 1/2-sqrt(3)/2

Answer: I believe it's just custom. Some nations follow the quantity with a currency symbol, such as the dollar sign.

According to one hypothesis I've heard, the currency symbol was added before the quantity to stop individuals from modifying handwritten amounts, like changing 25.00 into 125.00, for example. It might be accurate, however I believe that the amount is always spelled out in words in the majority of situations when such fraud would be conceivable, such as on checks.

Step-by-step explanation:

Answer:

attached at point A; forms a right angle; attached at point B; forms a right angle; same; yes

Step-by-step explanation:

Answer

- The solution of this compound inequality is x < 3 OR x ≥ 4

- The graph of this solution is attached below

- The interval notation is (-∞, 3) OR [4, ∞)

Explanation

The compound inequality to be solved is

6x - 3 < x + 12 OR 5x - 6 ≥ 3x + 2

To solve this, we solve each of the pair one at a time for the two-part solution

6x - 3 < x + 12

6x - x < 12 + 3

5x < 15

Divide both sides by 5

(5x/5) < (15/5)

x < 3

OR

5x - 6 ≥ 3x + 2

5x - 3x ≥ 6 + 2

2x ≥ 8

Divide both sides by 2

(2x/2) ≥ (8/2)

x ≥ 4

So, the solution is

x < 3 OR x ≥ 4

So, this solution says that x is less than 3, but greater than or equal to 4.

For the graph, Note that

In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.

But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.

This solution tells us that the wanted parts are numbers less than 3 and numbers greater than 4.

Also, in writing inequalities as interval, the signs (< or >) indicate an open interval and is written with the bracket () while the signs [≤ or ≥] denote a closed interval which is denoted by the brackets [].

x < 3, that is, x ranges from negative infinity to just before 3.

x < 3 is (-∞, 3)

x ≥ 4, that is, x ranges from 4 to infinity

x ≥ 4 is [4, ∞)

Hope this Helps!!!

Answer:

Your answer is A now.

Step-by-step explanation:

Answer: 12,500

Formula for centrifugal force = [tex]\frac{k r m}{t^{2} }[/tex]

In the first case,

The mass of an object moving in a circle as 'm1' and radius as 'r1', 'k' as constant, and time as 't1'. 'f1' is centrifugal force.

centrifugal force is f1 = [tex]\frac{kr1m1}{t1^{2} }[/tex]

In the second case,

The mass of an object moving in a circle as 'm2' and radius as 'r2', 'k' as constant, and time as 't2'.  'f2' is centrifugal force.

m1 = 6 gram , r1 = 75 cm , t1 = 3 sec, f1 = 5000 dynes

as per equation, 5000 = [tex]\frac{ k * 75 * 6}{3^{2} }[/tex]   , after calculation the value of k = 100

in the second case use the same equation and find centrifugal force (f2)

f2 = [tex]\frac{k * r2 * m2}{t2^{2} }[/tex] ,m2 = 20 gram , r1 = 155cm , t1 = 5 sec, k= 100

f2 = [tex]\frac{100 * 155 * 20}{5^{2} }[/tex] after calculation f2 = 12,400.

so, the final centrifugal force is 12,400 dynes.

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Answer:

A. Subtract the distance between each point and the x-axis.

Step-by-step explanation:

The points shown are horizontally distanced. Because of this, you need to subtract their x values. In coordinate planes, the variable "x" represents how far a point is or is not from the origin. Given this information, you need to subtract the x values to get the distance they are apart. Note: Distance on a number line or graph is always given in absolute value. Absolute value is the term for when a number is converted to its positive form. For instance, |-1| has these brackets around it representing absolute value. Whenever a number in absolute value is a negative number or is greater than 0, it will become its positive form. |-1| = 1

Hope this helps!

Option A is correct, By subtracting the distance between each point and the x axis we  find the distance between the points shown

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The given two points in the given graph are A(-8, -4) and B(2,-4)

Now let us plug in these points in the formula.

x₂= 2, x₁ = -8, y₂=-4, y₁=-4

Distance=√(x₂-x₁)²+(y₂-y₁)²

=√(2+8)²+(-4+4)²

=√(10)²

=10 units.

By subtracting the distance between each point and the x axis we can find the distance.

Hence, Option A is correct, By subtracting the distance between each point and the x axis we  find the distance between the points shown

​

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Answer

Explanation

Probability of an event is calculated as the number of elements in an event divided by the total number of elements in the sample space.

P(quarter)

Number of quarters = 4

Total number of coins in the jar = 6 + 14 + 16 + 4 =

If we have the triangle ABC and we want to obtain the triangle DEF, we need to multiply every side of the triangle ABC by 3 as:

5 * 3 = 15

4 * 3 = 12

3 * 3 = 9

So, the scale factor of triangle ABC to triangle DEF is 3

Answer: 3

Answer:

3

Step-by-step explanation:

Since + × - = -

The - sign will change

+7 - 4 = 3

Answer:

6. 24

Step-by-step explanation:

A) Use pythogaras theoram

8x8 - 5x5 = axa - bxb = c

64-25= 39

39 square root =6.24

Could be the two

For example for less than we will obtain -12+8x<-44

For the greater than -12+8x>-44

Answer:

A

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = √12

Answer:

x+1/x-1 + 1-x/x+1 + 4x/1+x^2

We want to solve the following equation

x² + 16x + 5 = 0

↓

x² + 16x = 5

We want to rewrite the equation so its left side is

(x + a)²

We know that

(x + a)² = x² + 2ax + a²

where a is a number, then, we want that the left side look something like

x² + 2ax + a²

Then we first want to find which must be the number a in this case.

Since 2 · 8 = 16, then the left side is

x² + 16x = x² + 2 · 8x

then, in this case a would be 8

a = 8

We want that the left side of our equation looks like:

x² + 2ax + a²

Since it has the first two terms

x² + 16x = 5

we have to add a² = 8² = 64

We add it both sides of the equation:

x² + 16x + 8² = 5 + 64

x² + 2 · 8x + 8² = 69

Now, we can write it as (x + a)²

x² + 2 · 8x + 8² = 69

↓ since (x + a)² = x² + 2ax + a²

(x + 8)² = 69

In order to solve the equation, we want to "leave x alone" on the left side:

(x + 8)² = 69

↓ squaring root both sides

(x + 8) = ±√69

x + 8 = ±√69

↓ taking 8 to the right side

x = - 8 ±√69

We have two solutions:

x₁ = - 8 -√69

x₂ = - 8 + √69

Since

The equation of the line that is passing through the point (4,−17) and is perpendicular to y=x/7−3 is 7x -y = -30.

The line is passing through the point (4,-17) and is perpendicular to the line y = x/7-3

Now, the slope of the given line y = x/7-3 is,

M = 1/7

If the other line is perpendicular to it and has slope m, then the, we can write,

Mm = -1

So, putting values,

(1/7)m = -1

m = -7

Now, we have the slope m = -7 of the line and the point (4,-17) of the line,

So, the equation of the line will be,

m = [y-(-17)]/[x-4]

-7 = y+17/x-4

7x+47 = y+17

7x -y = -30

So, the equation of line is 7x -y = -30.

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Answer: -2

Step-by-step explanation:

To find the slope of a line, we use the formula [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

{x(2),y(2)} coordinates of second points in line

{x(1),y(1)} coordinates of first points in line

So to solve, you take any set of your coordinates given and you chose one to be your second set and your first set. Then you take the y from your 1st set, and you subtract it from the y from your 2nd set. Then you take that and you put it over from what you get when you take the x from the 1st set, and you subtract that from the x in your 2nd set.

So when I solve using this the coordinates given, I get -12-8/17-7

This equals to -20/10, and that equals to -2.
So you find the slope of the line as -2

Answer:

-3

Explanation:

To calculate the rate of change of the function, we pick two pairs of points.

(8, -40) and (17,-67)

We use the formula below:

The rate of change of the function is -3.

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Area: (4 * 2) + (4 *2) = 16cm^2

Perimeter: (4 + 2 )+ 6 + (2 + 2 + 4) = 20

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Answer:

Step-by-step explanation: you can rewrite 2/3 plus 1/6 as: 2 3 + 1 6 To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator.

The solution of the inequality is d≥ 4. The graph is attached with the answer below.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The solution to inequality is,

d/2 ≥ 2

d ≥ 2 x 2

d ≥ 4

The graph states that all the values of "d" are greater than or equal to 4.

Therefore, the solution to the inequality is d≥ 4. The graph is attached with the answer below.

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Answer:

you mean greatest common factor?

Least common denominator is the lowest number to which all the fractions can be expanded, so it is the Least common multiple of all denominators.

Given that,

We have to find the difference of LCD and LCM.

The least common multiple, or LCM, is the smallest common multiple of any two or more numbers. What does "common" mean? In this context, the word "common" refers to something that is shared by two or more people.

The LCD, or least common denominator, is the least common multiple of two or more denominators. In this instance, the denominator, or bottom number, of a fraction contains the common multiple. When arithmetically adding or subtracting fractions, the LCD must be computed. When dividing or multiplying fractions, the LCD is not required.

For example,

Let's check the following fractions:

(1/2,2/3,5/6)

To find the Least common denominator of the fractions we have to find the Least common multiple of the fractions' denominators:

lcd(1/2,2/3,5/6)=lcm(2,3,6)

To calculate the Least common multiple we have to find the lowest number which can be obtained by multiplying those numbers.

This number is 6 because we can multiply 2×3 and 3×2 to get 6.

Therefore, Least common denominator is the lowest number to which all the fractions can be expanded, so it is the Least common multiple of all denominators.

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The day the two bags will have the same weight is the 24th day.

The linear equation that can be used to determine the pound of dog food left is:

Amount of dog food left = capacity of the bag - (number of days x amount the dog eats per day)

Amount of dog food left = 34 - (1 x p)

Amount of dog food left = 34 - 1p

The linear equation that can be used to determine the pound of cat food left is:

Amount of cat food left = capacity of the bag - (number of days x amount the cat eats per day)

Amount of cat food left = 16 - (1/4 x p)

Amount of cat food left = 16 - 1/4p

On the day the two bags will have the same weight, the two above equations would be equal:

16 - 1/4p = 34 - 1p

p - 1/4p = 34 - 16

3/4p = 18

p = (18 x 4) / 3

p = 24 days

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a. The expression represents the perimeter of a polygon:

n represents the number of sides of the polygon.

b. If we have 60 sides, then n = 60.

We can calculate the approximation given by the expression as:

We can then calculate the difference with π using a calculator as:

The difference is approximately 0.0036.

To understand the question, let us draw the graphs of each one

The red graph represents A

The blue graph represents B

The green graph represents C

The purple graph represents D

Let us find the narrowest

The blue graph is the narrowest because it is closed to the y-axis more than the other graphs

The correct answer is B

7)

The given function is

Recall that the degree of the polynomial is the highest power of the variable.

The degree of the given polynomial function is 3.

we know that a cubic function is a polynomial function with degree 3.

Hence the given function is a cubic function.

Option D is correct.