A rectangle is 5 inches long and 2x inches wide. The value of the perimeter in inches) is equal to the value of the area (in square inches). Find x.

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

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Answer:

0.43, 4.7, 5, 6

Step-by-step explanation:

\(0.43<4.7<5<6\)

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

im here to help.

Step-by-step explanation:

yup

Answer:

Domain: set of possible input values (x-values)

Range: set of output values (y-values)

The range for the function \(f(x)=-2|x-5|+8\) is:

\(f(x)\leq 8\)

(5, 8) is the vertex of the line

Because |x - 5| is absolute (so always positive) and it is multiplied by -2,

-2|x - 5| will always be negative unless x = 5 (when it will be zero).  Therefore, the max y-value is 8.

However, your question actually asked what the function is when x = -5:

\(f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12\)

Step-by-step explanation:

Thats the all rhe answers step by step

The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".

A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.

In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.

In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.

As an example of how this might be used in practice, consider the differential equation

=> "dy/dt = -3y".

In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".

However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:

=> "dsolve(diff(y,t) == -3*y)".

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We would determine the distance from Robinswood to walmart by applying the formula for determining distance between two points which is expressed as

Answer: The probability of selecting a black marble then a red marble would be 1/20

Step-by-step explanation: 5/20 x 4/20 = 1/4 x 1/5 = 1/20

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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1.14 kg  is the total weight of the rocks, in kilograms.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

2 such rocks weigh 20 ounces each.

i.e. weight of 2 rocks = 20*2

                                  =40 ounces

now,

a kilogram is 35.2 ounces

the total weight of the rocks, in kilograms = 40/35.2

                                                                       =1.14 kg.

Hence, 1.14 kg  is the total weight of the rocks, in kilograms.

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Given:

Here, we are to perform the subtraction o fractions.

To subtract the fractions, find the Lowest common multiple of the denominators.

LCM of 4 and 5 = 20

Divide the LCM by each denominator and multiply by their respective numerators.

Thus, we have:

ANSWER:

The ratio 6/27 forms a proportion of 8/36 which is the correct answer that would be an option (B).

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

The ratio is given in the question:

8/36

The above ratio can be rewritten as:

(2 × 2 × 2)/(3 × 3 × 2 × 2)

Cancel out the same number in the ratio

2/(3 × 3)

2/9

As per option (B), we

6/27

The above ratio can be rewritten as:

(2 × 3)/(3 × 3 × 3)

2/(3 × 3)

2/9

Thus, the ratio 6/27 forms a proportion of 8/36.

Hence, the correct answer would be option (B).

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Out of these events, the independent events are drawing a marble out of a bag, replacing it and drawing another and rolling a dice twice. So the correct option is 2 and 5.

Events that are independent are those in which the outcome of first event has no effect on the outcome of a second event. The independent event in each of the situations according to this definition are:

The outcome of the first event in either of these situations have no effect on the outcomes of the second event.

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Answer:Mean = 54.8

Median = 52

Mode= 52

Step-by-step explanation:

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

A) 18 degrees

Step-by-step explanation:

6x+4x=180

10x=180

x=18

angle QRU=18 degrees

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

A) cluster sampling ( b ) and systematic sampling ( e )

B ) Randomly selecting precincts increases the likelihood that the people polled represent the population well. ( c )

Step-by-step explanation:

Cluster sampling is a type of sampling plan used when there is an internally heterogeneous groups can be found inside a population that is supposed to be mutually  homogeneous . while systematic sampling is a type of probability sampling that involves the selection of samples from a larger population at random but using a specific interval. to get the systematic sample the larger population is divided by the sample size.

from the information available in the report it is very evident that not all voters can be captured at once hence cluster sampling and systematic sampling would be employed .  

B) the company will randomly select precinct to increase the likelihood of the sample size representing the entire population very well

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

\(l\) = Length of rectangular prism = 9 unit cubes

\(w\) = Width of rectangular prism

\(h\) = Height of rectangular prism

Volume of a rectangular prism is given by

\(V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9\)

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

8a+8+5a−6

=8a+8+5a+−6

=8a+8+5a+−6

=(8a+5a)+(8+−6)

=13a+2

=> (8a + 8) + (5a – 6)

=> (8a + 5a) + (8 – 6) [Combine like terms]

=> (13a + 2)

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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(7 hot dogs)/(4 minutes) = (23 hot dogs)/(x minutes)

7/4 = 23/x

7x = 4*23 .... cross multiplication

7x = 92

x = 92/7

x = 13.142857 approximately

x = 13.1

In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10

The formula to calculate the future value of an investment using simple annual interest is:

\(FV = PV * (1 + r)^n\)

where:

FV = Future Value

PV = Present Value (the initial investment)

r = interest rate per period

n = number of periods

For Portfolio A (7%):

\(FV_A = $5000 * (1 + 0.07)^5\)

= $5000 * 1.40255

= $7012.75

For Portfolio B (9%):

\(FV_B = $5000 * (1 + 0.09)^5\)

= $5000 * 1.53862

= $7693.10

In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10

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The Complete Question

Two investment portfolios are shown, Portfolio A with a return of 7% annually and Portfolio B with a return of 9% annually. If you invest $5000 in each portfolio, what will be the total value of each portfolio after 5 years?

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2