what is the length of a diagonal of an 18’ x 12’ rectangle

Based on the domain, the equation of the function f(x) is F(x - h) = x^2 - 2xh + h^2 + 2

The domain of the function is the set of input values of the graph

The equation of the function is given as

F(x) = x^2 + 2

The required function is given as

F(x - h)

The above means that the value of x in the function F(x) = x^2 + 2 is x - h

i.e.

x = x - h

So, we substitute x - h for x in the equation F(x) = x^2 + 2

This gives

F(x - h) = (x - h)^2 + 2

Evaluate the exponent

So, we have

F(x - h) = x^2 - 2xh + h^2 + 2

The above equation cannot be further simplified

Hence, the solution of the function f(x) at the given domain is F(x - h) = x^2 - 2xh + h^2 + 2

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Answer:

reflection over the y-axis

Step-by-step explanation:

The output of the given equation d (t)- 13-4t. d(-2)  when the input is t=4 will be - will be -323

Equations with General Differential. Consider the differential equation y′=3x2, which has a derivative and is an illustration of a differential equation. The variables x and y are related because y is an unidentified function of x. The derivative of y is also on the equation's left-hand side.

The sciences, from which the equations originated and where the solutions found application, were the first to influence the mathematical theory of differential equations.

As the equation says: d(t)=13-4t.d(-2)

First we will calculate d(-2)

d(-2)=13-(4*-2)

d(-2)=21

d(4)=13-4*4*21

d(4)=-323

By this, the Final answer that is output for d would be -323.

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Answer:

The correct expression is

C. |14.6 - (-5.2)|

Let the length be represented by l and the width, w.

The question says that the length is 3 feet longer than the width. This means that

The perimeter of a rectangle is given as

The perimeter of the sandbox is given as 22 feet.

Substituting the values for the perimeter and the length (w + 3) into the perimeter formula, we have

Solving, we have

Now that we have the value for the width, we can calculate the length as

The length is 7 feet and the width is 4 feet.

Answer:

12 pounds of deluxe and 31 pounds of regular.

Step-by-step explanation:

$227 is the minimum cost.

Answer:

We have to minimize the cost of 51 pounds of blended coffee.

The mixture must contain 13 pounds of deluxe coffee.

Deluxe coffee costs $4 per pound while regular coffee costs $3 for the same amount.

So, we need to maximize the concentration of regular coffee in the blended coffee to minimize our costs, but we must mix 13 pounds of deluxe coffee in order to make the blended coffee as it is the condition given to us in the problem.

Hence, apart from this 13 pounds, all the rest weight in blended coffee should come from the regular one.

Hence, the amount of regular coffee we have to use = (51 - 13) = 38 pounds.

Now, the cost of the 51 pounds of blended coffee

38×3+13×4 = ₹166.

From the given actual height of tower 1083 feet and width 410 feet, the

scale model is equal to 1.98 feet tall.

As given,

Eiffel Tower's actual height = 1083 feet

Eiffel Tower's actual width at base = 410 feet

Scale model's width at base = 0.75 feet

To find: how much tall is the scale model of the Eiffel Tower

Let us assume the height of the scale model of the Eiffel Tower to be x feet

Then by the property of similarity of scale models, ratio of the height of actual Eiffel Tower to its scale model will be equal to the ratio of the width of their base.

=> [tex]\frac{x}{1083} = \frac{0.75}{410}[/tex]

=> x = 1.98 feet

Therefore,  the width of the base of the scale model of the Eiffel Tower is 1.98 feet with given actual height and width 1083feet and 410 feet respectively.

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Answer:

Step-by-step explanation:

The male Cuban tree frog is about 2/5 the size of the female Cuban tree frog. The average size of the female Cuban tree frog is 6 inches. What is the size

It should be noted that the value of (f.g)(x) will be

12x³ + 28x² + 16x.

It should be noted that a function is simply used.to illustrate the relationship between the expressions that's given in the data.

From the information, the following can be illustrated:

f(x) = 3x + 4

g(x) = 4x² + 4x

Therefore, (f.g)(x) will be the multiplication of the variables. This will be illustrated as:

= (3x + 4) × (4x² + 4x)

= 12x³ + 12x² + 16x² + 16x

= 12x³ + 28x² + 16x

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The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.

It should be noted that a proportional relationship is one where it van be expressed as y = kx.

In this case, John bought 3 for $24.00. This will be:

= $24 / 3

= $8 per hat

Stacey bought 5 for $40.00. This will be:

= $40 / 5

= $8 per hat

Jim bought 2 for $16.00. This will be:

= $16/2

= $8 per hat

Therefore, it's a proportional relationship.

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(A) The equation y = ( 1/4 )x + 2 best represents the relationship between x and y.

From the graph, we can see that the line is passing through points ( - 8, 0 ) and ( 0, 2 ).

So, to obtain the equation that represents the best relationship we will substitute the points in the equation to check whether they satisfy or not.

Consider option (a),

y = ( 1/4 )x + 2

For ( - 8, 0) :

0 = ( 1/4 ) × - 8 + 2

0 = - 2 + 2

0 = 0

For ( 0, 2 ):

y = ( 1/4 )x + 2

2 = (1/4) × 0 + 2

2 = 2

Hence, the equation y = ( 1/4 )x + 2 passes through both points.

Consider option (b),

y = 4x - 8

For point ( - 8, 0 )

y = 4(-8) - 8

y = - 32 - 8 = - 40 ≠ 0

For point ( 0, 2)

y = 4(0) - 8 = - 8 ≠ 2

Hence, the equation y = 4x - 8 does not pass through the points.

Consider option (c),

y = ( 1/4 )x - 8

For ( - 8, 0 )

y = ( 1/4 ) × - 8 - 8

y = - 2 - 8 = - 10 ≠ 0

For ( 0, 2)

y = ( 1/4 ) × 0 - 8 = - 8 ≠ 2

Hence, the equation y = ( 1/4 )x - 8 does not pass through points.

Consider option (d),

y = 4x + 2

For point ( - 8, 0 )

y = 4( - 8) + 2

y = - 32 + 2 = - 30 ≠ 0

For point ( 0, 2)

y = 4( 0 ) + 2 = 2

2 = 2

Hence, the equation passes through ( 0, 2) but does not pass through the point ( - 8, 0 ).

Therefore, the equation that represents the relationship between x and y is y = ( 1/4 )x + 2

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Answer:

y = (5/4)x - 5

Step-by-step explanation:

(0, -5) and (4, 0)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁           0 -(-5)        5

m = ------------- = ------------ = ---------

         x₂ - x₁          4 - 0           4

y - y₁ = m(x - x₁)

y -(-5) = (5/4)(x - 0)

y + 5 = (5/4)x - 0

   -5                -5

----------------------------

y = (5/4)x - 5

I hope this helps!

Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's say x is the number of ounces. Since the cost for each ounce is $0.85 then we can find the cost for the total amount of ounces by multiplying it by the cost of each one:

$0.85 · x

This is not the total cost, since the total cost has an additional of $5.50. Then the total cost is given by

c = $5.50 + $0.85x

Answer: Value of x is 16

Step-by-step explanation:

Triangle ABC and ADE are Similar Triangles using Angle-Angle-Angle similarity,

therefore,

[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]

AB=x

BC=8

AD=x+6

DE=11

on substituting value,

[tex]\frac{x}{8}=\frac{x+6}{11}[/tex]

on cross multiplying,

11x = 8x+48,

subtracting 8x on both sides,

3x = 48,

dividing both sides by 3,

x=16

Therefore, value of x is 16

Area of the green triangle = 81 mm squared

The chord RS and chord ST subtends equal angles the center. So length of chord ST is equal to length of chord RS.

Determine the value of x.

So value of x is 9.

The proof of the quadratic equation is represented by the equation 18(m₂)² = 18(m₂)²

Quadratic equations are second-order polynomial equations and they have the form y = ax² + bx + c or y = a(x - h)² + k

The quadratic equation is given as

ax² + bx + c = 0

From the question, we understand that

One of the roots is twice the other

This means that

m₁ = 2m₂

Where m₁ and m₂ are the roots of the quadratic equation

The quadratic equation is then represented as

(x - m₁) * (x - m₂) = 0

Substitute m₁ = 2m₂ in the equation (x - x₁) * (x - x₂) = 0

So, we have

(x - 2m₂) * (x - m₂) = 0

Expand the brackets

So, we have

x² - 2xm₂ - xm₂ + 2(m₂)² = 0

Evaluate the sum and the difference.

So, we have

x² - 3xm₂ + 2(m2)² = 0

In the above equation, we have

a = 1

b = -3m2

c = 2(m₂)²

Recall that

2b² = 9ac

So, we have

2 * (-3m₂)² = 9 * 1 * 2(m₂)²

Evaluate

18(m₂)² = 18(m₂)²

The above equation is true

Hence, it is true that if one root of the equation ax² + bx + c = 0 is twice the other, then 2b² = 9ac

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Answer:

Conversion of Dollars to Pounds is $1=0.90£

Step-by-step explanation:

b) when you calculate the amount you paid in total for 5 caramels and 4 milk chocolates, the total comes to $97,6 which is close to $100

Hope this helps !!

Answer:

c

Step-by-step explanation:

The function is defined at x=0.

|x|=0 and sin(0)=0, so the graph is continuous at x=0.

The graph of |x| is wrong in a, leaving c.

1. The investment of $2,250 with an absolute change of -$350 is now worth $1,900.

2. The percentage change in the worth of the investment is -15.56%.

A percentage change refers to the percentage difference between the initial value and the current value.

To compute the percentage change, use the absolute change and divide by the initial value, then multiply by 100.

For this investment of $2,250 which is now worth $1,900, there was a percentage change of -15.56%, implying that it has drastically reduced in value.

Initial Investment Cost = $2,250.00

Absolute change in investment value = $350

Current value of investment = $1,900 ($2,250 + $350)

The percentage change = -15.56% (-$350/$2,250 x 100)

Thus, the investment is currently valued at $1,900, having lost $350 in value, which in percentage terms, is -15.56%.

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Answer:

2.54

Step-by-step explanation:

values around 1/4 inch

The following statement is true about the functions f(x) and g(x):

f(–2) = g(–2)

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of functions is given as

Functions f(x) and g(x)

From the attached graph, we can see that:

The values of the function f(x) at f(2), or f(4) do not have a match to the function g(x) at g(2) or g(4).

However, the functions intersect at x = -2

This means that f(-2) = g(-2)

Hence, the true statement about the functions is  f(–2) = g(–2)

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Complete question

Which statement is true regarding the graphed functions?

See attachment

f(4) = g(4) f(4) = g(–2) f(2) = g(–2) f(–2) = g(–2)

Answer:

What is the role of ethnocentrism in defining the concept of “progress”

Step-by-step explanation:

sinA = 0.37

cosA = 0.93

tanA = 0.40

secA = 1.08

cscA = 2.69

cot A = 2.50

Given that a = 4, b = 10. To obtain c, we use the Pythagorean theorem:

Now

The consumer surplus that Elijah will get based on the information is $1200.

It should be noted that consumer surplus simply means the economic measurement of the benefits that the consumer gets from market competition.

From the information, Elijah is lucky enough to get a rent-controlled apartment for $800 per month and the market rent on such an apartment is $3,000 per month.

Since Elijah herself values the apartment at $2,000 per month, the market surplus will be:

= $2000 - $800

= $1200

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we have that

the solution of the given inequality is the interval

(-infinite,2/3) U (1, infinite)

so

Answer part c is

(-infinite,2/3) U (1, infinite)

Part b

In a number line, the solution is the shaded area at the left of x=2/3 (open circle) and the shaded area at the right of x=1 (open circle)

see the figure below to better understand the problem

please give me a minute to draw the solution

Answer:

48

Since they are giving one third of it to the staff, they are keeping 2 thirds of it for themselves. Two thirds of 72 is 48.

Answer:

He keeps $48.

Step-by-step explanation:

If he gives away 1/3, he keeps 2/3 so that's what we need to calculate.

First find 1/3 of 72 by dividing by 3: 72/3=24

Now to find 2/3, multiply by 2: 24*2=48

(72/3)*2= $48