The width of a rectangular poster is 16 in its length is twice its width find the perimeter

Answer: Ellen's house is farther away by 898 feet.

Step-by-step explanation:

Given: The distance between Haley's house and Ellen's house = 1.41 miles

We know that 1 mile = 5,280 feet

Then, [tex]1.41\text{ miles}=1.41\times5,280\text{ feet}=7,444.8\text{ feet}[/tex]

The distance between Haley's house and Dirk's house = 6,547 feet

Clearly, 6,547<7,444.8

And [tex]7444.8-6547= 897.8\approx898[/tex]

Therefore, Ellen's house is farther away by 898 feet.

Answer:

60 and 120 have a good day!

Step-by-step explanation:

Techechtium-99m has a half-life of 6 hours. It will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

To determine how many hours it will take for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg, we can use the concept of half-life.

Techechtium-99m has a half-life of 6 hours, which means that after every 6 hours, half of the initial amount will decay.

So, to find the number of half-lives required to reach 62.5 mg, we can divide the initial amount by the remaining amount:

1000mg / 62.5mg = 16.

Since each half-life is 6 hours, we can multiply the number of half-lives by 6 to find the total number of hours:

16 x 6 = 96.

Therefore, it will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

Answer:

[tex]f(x) = -7x^2 -x +2[/tex] represents a quadratic function.

Step-by-step explanation:

A polynomial of degree two is called quadratic function,

Also, degree of polynomial is the highest power of its monomial ( individual term with non zero coefficient ),

Since, [tex]f(x) = 2x^3 + 2x^2 -4[/tex] has degree 3,

⇒  [tex]f(x) = 2x^3 + 2x^2 -4[/tex] is not a quadratic function,

[tex]f(x) = -7x^2 -x +2[/tex] has degree 2,

⇒  [tex]f(x) = -7x^2 -x +2[/tex] is a quadratic function,

[tex]f(x) = -3x+2[/tex] has degree 1,

⇒  [tex]f(x) = -3x+2[/tex] is not a quadratic function,

[tex]f(x) = 0x^2 + 3x -3[/tex] has degree 1,

⇒  [tex]f(x) = 0x^2 + 3x -3[/tex] is not a quadratic function,

Answer:

The correct answer is 68.5°

The calculated result of the angle FDE is 68.5°. Whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

m<FDE = 1/2( Arc BC + Arc 76)

m<FDE = 1/2 (61° + 76°)

m<FDE = 137/2 = 68.5°

Give Brainliest if you please

Answer:

-10

Step-by-step explanation:

took the test

To find x-values where a function's tangent line is horizontal, find the derivative, set it to zero, and solve for x considering any function's restriction.

To find all the values of x where the tangent line is horizontal, we need to understand that these are the points where the derivative of the function is zero. This is because the derivative of a function at a point gives us the slope of the tangent line at that point. And, for a line to be horizontal, its slope needs to be zero.

So, to find these values:

The solutions will give you the x-values where the tangent line is horizontal. Do note that you need to be aware of the domain and any restrictions of the original function to have valid solutions.

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Answer:

[tex](30\sqrt{3}-21\sqrt{6})[/tex]

Step-by-step explanation:

We have to find the product of the expressions.

[tex]3\sqrt{2}(5\sqrt{6}-7\sqrt{3})\\[/tex]

= [tex]3\sqrt{2}\times 5\sqrt{6}-7\sqrt{3}\times 3\sqrt{2}[/tex] ( By distributive rule)

= [tex]3\times 5(\sqrt{2})(\sqrt{6})-7\times 3(\sqrt{3})(\sqrt{2})[/tex]

= [tex]15\sqrt{12}-21\sqrt{6}[/tex]

= [tex]15\sqrt{4\times 3}-21\sqrt{6}[/tex]

= [tex]30\sqrt{3}-21\sqrt{6}[/tex]

= [tex](30\sqrt{3}-21\sqrt{6})[/tex]

Answer:

The resulting price is $99.36.

Step-by-step explanation:

Original cost of the item = $100

The decrease percentage is 8% or 0.08

So, the reduced price becomes :

[tex]100-(0.08\times100)=92[/tex] dollars

Now again the reduced price is increased by 8%.

So, multiplying the reduced price by 8% and adding it again we get;

[tex]92+(0.08\times92)[/tex] =$99.36

So, the resulting price is $99.36.

Answer:

A. (2,-2)

Step-by-step explanation:

That is the right answer. Hope this helps!!!

Answer:

14 5/8

Step-by-step explanation:

multiply each number by it's frequency  the product is the total value  .

Answer:

44

Step-by-step explanation:

1:4

4+1=5

55/5=11

11*4=44

the answer is 44

The solution is Option A.

The factorized form of the polynomial equation A = x³ + 4x² - x - 4 is given by B = ( x + 1 ) ( x - 1 ) ( x + 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the factorized equation be represented as = B

Now , let the equation be A

The value of A is given by A = x³ + 4x² - x - 4

On simplifying the equation , we get

A = x³ + 4x² - x - 4

Taking x² as the common term in the first two terms of the equation ,

A = x² ( x + 4 ) - x - 4

The equation can be further simplified as

A = x² ( x + 4 ) - ( x + 4 )

Taking ( x + 4 ) as the common term in the first two terms of the equation ,

A = ( x² - 1 ) ( x + 4 )

Now , ( x² - 1 ) can be simplified as ( x + 1 ) ( x - 1 )

So , the value of B is

B = ( x + 1 ) ( x - 1 ) ( x + 4 )

Therefore , the value of B is ( x + 1 ) ( x - 1 ) ( x + 4 )

Hence , the factorized equation is ( x + 1 ) ( x - 1 ) ( x + 4 )

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Answer:  The magnitude of the vector u is √12 units.

Step-by-step explanation:  Given that the dot product of a vector u with itself is 12.

We are to find the magnitude of the vector u.

Let <a, b> represents the vector u.

That is, u = <a, b>

Then, according to the given information, we have

[tex]u.u=12\\\\\Rightarrow <a, b>.<a, b>=12\\\\\Rightarrow a^2+b^2=12\\\\\Rightarrow \sqrt{a^2+b^2}=\sqrt{12}\\\\\Rightarrow |u|=\sqrt{12}.[/tex]

Thus, the magnitude of the vector u is √12 units.

[tex] |\Omega|=360\\
|A|=120\\\\
P(A)=\dfrac{120}{360}=\dfrac{1}{3}\approx33\% [/tex]

Answer:

The correct option is 4.

Step-by-step explanation:

In triangle ABC and XYC,

[tex]\angle BAC=\angle YXC=60^{\circ}[/tex]                   (Given)

[tex]\angle BCA=\angle YCX[/tex]                                    (Reflexive Property)

By AA rule of similarity,

[tex]\triangle ABC\sim \triangle XYC[/tex]

The corresponding sides of similar triangles are proportional.

Since triangle ABC and XYC, therefore

[tex]\frac{XC}{AC}=\frac{YC}{BC}[/tex]

[tex]\frac{XC}{AC}=\frac{YC}{BY+YC}[/tex]

[tex]\frac{10}{AC}=\frac{7}{4+7}[/tex]

[tex]\frac{10}{AC}=\frac{7}{11}[/tex]

Therefore option 4 is correct.

The z-score for Luke Skywalker's height is 0.625, indicating that his height is 0.625 standard deviations above the mean.

Z-score Formula: The z-score for Luke Skywalker's height can be calculated using the formula: z = (x - μ) / σ, where x is the individual's height, μ is the mean height, and σ is the standard deviation.

Plugging in the values, we get z = (68 - 66.5) / 2.4 = 0.625 (rounded to the nearest thousandth).

The phrase 'What you put into it is what you get out of it' applies to functions in mathematics, where given an value x (input) into a function, you get an output y. It also applies to real life examples, like sports practice, where your input of time and effort has a corresponding output of skill level.

Yes, the expression “What you put into it is what you get out of it” can be applied in mathematics, particularly to functions. In mathematical context, this statement represents the fundamental concept of a function, where an input (what you put into it) mapped to an output (what you get out of it). For example, consider a linear function y = 2x + 3. The value of y (output) depends on the value chosen for x (input). Thus, if x = 2 (input), y = 7 (output). The output here is a result of the input 'fed' into the function.

The same idea can be extrapolated to functions in everyday life, such as practicing a sport. The input to the 'function' is the time and effort you put in, and the output is the proficiency you achieve. As with mathematical functions, each 'input' in life tends to have a corresponding 'output', reinforcing the idea of causes having effects.

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The expression 'What you put into it is what you get out of it' applies to functions such that what you put into the function (input) directly influences what you get out of the function (output).

Yes, the expression 'What you put into it is what you get out of it' can indeed be applied to the concept of functions in mathematics. A function is a special relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. The input you 'put into' a function is the independent variable and the output or 'what you get out of' the function is the dependent variable.

As an example, consider an equation of a function like y = 2x. Here, 'x' represents the inputs and 'y' the outputs. If you 'put into' this function x = 3 (input), you 'get out of' the function y = 6 (output). Thus, what you 'put into' the function (input) directly influences what you 'get out of' the function (output), demonstrating the principle of 'What you put into it is what you get out of it'

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