Ryan is building two gardens.
The flower garden is 6 feet long
and 4 feet wide. The vegetable
garden is the same length as the
flower garden. The area of the
flower garden is half the area of
the vegetable garden. What is the
width of the vegetable garden?

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

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Answer:

1 is -47.

2 is -20

3 is 16.

4 is 33.

Step-by-step explanation:

Brainiest?

Answer:

X can either be -4 or 11.

Step-by-step explanation:

\(x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\\)

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.

The speed of the wind is 100 mph.

What is speed?

The speed is defined as the rate at which a particular object covers a certain amount of distance. This speed can be fast or slow. An object covering a great distance in short period of time indicates a high speed and an object covering small distance in a large period of time depicts a slow speed.  

Let's call the speed of the wind "w" (in mph).

When the airplane is flying with the wind, its effective speed is the sum of its speed in still air and the speed of the wind:

effective speed with the wind = 350 + w

When the airplane is flying against the wind, its effective speed is the difference between its speed in still air and the speed of the wind:

effective speed against the wind = 350 - w

We know that the airplane travels 1995 miles with the wind in the same length of time it travels 1505 miles against the wind. This means that the two distances are traveled at the same speed, which we can express using the formula:

distance = speed × time

So we can write two equations based on the distances traveled:

1995 = (350 + w) × time

1505 = (350 - w) × time

We want to find the value of "w" that satisfies both equations. We can solve this system of equations by eliminating "time" and solving for "w":

1995/(350 + w) = 1505/(350 - w)

1995(350 - w) = 1505(350 + w)

698250 - 1995w = 527750 + 1505w

349500 = 3500w

w = 100

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Answer:

40

Step-by-step explanation:

2x² - 5y + 7 when x = 2 and y = -5

2(2)² - 5(-5) + 7

= 2(4) -5(-5) + 7

= 8 + 25 + 7

= 40

Answer:

f−1(x)=√6(x+4)6,−√6(x+4)6

Plz let me know if im wrong!!!

Answer:

are u sure this is written correctly?

Answer:

240 grams

Step-by-step explanation:

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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Answer:

4

Step-by-step explanation:

lqisgajowuqqihdjakqkeukwke

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

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Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

When you find the "quotient" of something, you just use division.

Image provided below as proof.

Hope this helps and have a nice day!

Answer:

π/6 [37^(³/₂) − 1] ≈ 117.3187

Step-by-step explanation:

The surface area is:

S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy

0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.

Find dx/dy.

y = 5 − x²

x² = 5 − y

x = √(5 − y)

dx/dy = ½ (5 − y)^(-½) (-1)

dx/dy = -½ (5 − y)^(-½)

(dx/dy)² = ¼ (5 − y)^(-1)

(dx/dy)² = 1 / (4 (5 − y))

Plug in:

S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy

S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy

S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy

S = ∫₋₄⁵ 2π √(5.25 − y) dy

If u = 5.25 − y, then du = -dy.

S = ∫ 2π √u (-du)

S = -2π ∫ √u du

S = -2π (⅔ u^(³/₂))

S = -4π/3 u^(³/₂)

Substitute back:

S = -4π/3 (5.25 − y)^(³/₂)

Evaluate between y=-4 and y=5.

S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]

S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)

S = π/6 [37^(³/₂) − 1]

S ≈ 117.3187

9514 1404 393

Answer:

  (d)  9

Step-by-step explanation:

The relation you're supposed to apply here is ...

  an exterior angle of a triangle is equal to the sum of the remote interior angles.

__

The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.

  17x +7 = 13x +3 +40

  4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides

  x = 9 . . . . . . . . . divide both sides by 4

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer: in point form (-5,1) in equation form: x=-5,y=1

Step-by-step explanation:

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

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Answer:

25% off

Step-by-step explanation:

6 is 1/4 of 24

1/4=25%

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

Answer:

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

\(2t + 3r + 6 = 0\)

Required

What happens when r is increased by 4

\(2t + 3r + 6 = 0\) -------- Equation 1

Subtract 2t from both sides

\(2t + 3r + 6 - 2t = 0 - 2t\)

\(3r + 6 = - 2t\) --- Equation 2

When r is increased by 4, equation 1 becomes

\(2T + 3(r+4) + 6 = 0\)

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

\(2T + 3r+12 + 6 = 0\)

Rearrange

\(2T + 3r+6 +12 = 0\)

Substitutr -2t for 3r + 6 [From equation 2]

\(2T -2t +12 = 0\)

Make T the subject of formula

\(2T = 2t - 12\)

Divide both sides by 2

\(\frac{2T}{2} = \frac{2t - 12}{2}\)

\(T = t - 6\)

This means that the value of t is reduced by 6 when the value of r is increased by 4

Answer:

a = b + k + u

Step-by-step explanation:

hope this helps

Answer:

1. (-∞ , -10]

2. [0, ∞ )

3. [12.566, 4.242]

4. [15, 50]

5. (-∞ , 5]

6. [18, ∞)

Step-by-step explanation:

Answer:

1. The set of all numbers less than negative ten.

2. The set of all positive real numbers.

3. The set of all numbers less than 4.242 and greater than 12.566.

4. The set of all numbers that are greater than 15 and less than 50.

5. The set of all numbers that are at most 5.

6. The set of all numbers that are at least 18.

Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

Step-by-step explanation:

the pot will be a cylinder,

V=3.14*r^2*h

V=3.14*(4.5)^2*7.5=476.89

The volume of the soup pot is equal to 476.89 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.

The space occupied by the cylinder in three-dimensional space is called the volume of the cylinder.

Given that the soup pot is 7.5 inches tall with a radius of 4.5 inches. The volume of the soup pot will be calculated as,

V=3.14 x r² x h

V=3.14 x (4.5)² x 7.5

V =476.89 cubic inches

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The pοpulatiοn οf the bacteria after 5 days is 96.

A functiοn is a relatiοnship οr expressiοn invοlving οne οr mοre variables.  It has a set οf input and οutputs.  Each input has οnly οne οutput.

A functiοn is defined as a relatiοn between a set οf inputs having οne οutput each. In simple wοrds, a functiοn is a relatiοnship between inputs where each input is related tο exactly οne οutput. Every functiοn has a dοmain and cοdοmain οr range. A functiοn is generally denοted by f(x) where x is the input. The general representatiοn οf a functiοn is y = f(x).

The function given is:

\(p(t) = 3(2)^t\)

We want to find the population after 5 days, so we can substitute t = 5 into the function:

p(5) = 3(2)⁵

p(5) = 3(32)

p(5) = 96

Therefore, the population of the bacteria after 5 days is 96.

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The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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