What has a side length of 1.2 meters ? What is its area in square meters.

A: 59

B: 31

C: 90

D: 90

E: 90

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.

\(```.LIST.ALIGN 4    .GLOBAL _start_start:    PUSH {R4, R5, LR}\)
   \(MOV R4, R2        // R4 < - x    MOV R5, #2        // R5 < - 2\)\(MUL R4, R4, R4    // R4 < - x^2    MUL R4, R4, R5    // R4 < - 2x^2    MOV R5, #3        // R5 < - 3\)
  \(ADD R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2    MOV R5, #5        // R5 < - 5    MUL R5, R5, R2    // R5 < - 5x\)
  \(SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x    MOV R5, #11       // R5 < - 11    SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x - 11\)
  \(MOV R3, R4        // R3 < - y    POP {R4, R5, PC}.END```\)

Explanation: The polynomial is given as

\(`y = 2x^4 + 3x^2 - 5x - 11`.\)

To calculate this polynomial in assembly language, we need to perform the following steps:

Load the value of `x` into a register. We assume that `x` is stored in register `r2`.

Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.

Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.

Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.

Load the value of `y` into a register. We assume that `y` is stored in register `r3`.

Return from the subroutine. We pop the registers from the stack and return from the subroutine.

The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.

This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.

In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.

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The relationship between the rectangles ABCD and WXYZ is AB = WX.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the rectangles ABCD and WXYZ, in a coordinate grid,

length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,

let us consider the scale of the grid to be 1 unit,

from graph,

AD = BC = 5 units

AB = DC = 3 units,

and for rectangle WXYZ,

XY = WZ = 5 units

WX = YZ = 3 units

so AB = WX

Hence option D is correct.

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To determine how many times the diameter of Earth is the diameter of Jupiter, we divide the diameter of Jupiter by the diameter of Earth.

To find the ratio of the diameter of Jupiter to the diameter of Earth, we divide the diameter of Jupiter by the diameter of Earth:

Ratio = Diameter of Jupiter / Diameter of Earth

Substituting the given values:

\(Ratio = (9*10^4 miles) / (8*10^3 miles)\)

To divide these values, we subtract the exponents since they have the same base (10):

\(Ratio = (9 / 8) * (10^4 / 10^3)\)

Simplifying the fraction, we have:

\(Ratio = 1.125 * 10^{(4-3)}\)

The exponent 4 - 3 results in 1, so the ratio becomes:

\(Ratio = 1.125 *10^1\)

Finally, we convert this scientific notation to standard notation:

Ratio = 11.25

Therefore, the diameter of Jupiter is approximately 11.25 times the diameter of Earth.

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Answer:

the answer for your problem should be (1,2)

The probability that in a particular week there will be less than 2 accidents is approximately 0.90980.

To find the probability that there will be less than 2 accidents in a particular week in the factory, we can use the Poisson distribution formula.

The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed interval of time or space when these events occur with a known average rate.

In this case, the mean number of accidents per week in the factory is given as 0.5. Let's denote this mean as λ.

The probability of having less than 2 accidents can be calculated as the sum of the probabilities of having 0 accidents and 1 accident.

Using the Poisson distribution formula, the probability of having k events in a given time interval is given by:

\(P(X = k) = (e^(-λ) * λ^k) / k!\)

For k = 0:

\(P(X = 0) = (e^(-0.5) * 0.5^0) / 0! = e^(-0.5)\)

For k = 1:

\(P(X = 1) = (e^(-0.5) * 0.5^1) / 1! = e^(-0.5) * 0.5\)

Now, let's calculate the probability of having less than 2 accidents:

\(P(X < 2) = P(X = 0) + P(X = 1) = e^(-0.5) + e^(-0.5) * 0.5\)

Using a calculator, we can compute this probability:

P(X < 2) ≈ 0.60653 + 0.30327 ≈ 0.90980

Rounded to five decimal places, the probability that in a particular week there will be less than 2 accidents is approximately 0.90980.

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Answer:

Last one

Option D is correct

2x^3 - 7x^2 + 4x - 3

Step-by-step explanation:

= x(2x^2 - x + 1) -3 (2x^2 - x + 1)

= 2x^3 - x^2 + x - 6x^2 + 3x - 3

= 2x^3 - x^2 - 6x^2 + x + 3x - 3

= 2x^3 -7x^2 + 4x -3 (Ans)

The population of the town in the year 2001 according to the equation; ý = 135.23x - 245 is; 270,350.

since the given equation is;

ý = 135.23x - 245

Therefore, in year 2001; the population, y is;

y = 135.23 (2001) - 245

y = 270,595.23 - 245

y = 270,350.23

y = 270,350 (nearest whole number).

Ultimately, the population of the town in 2001 is; 270,350.

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The variable "N" in time value of money (TVM) calculations typically represents the number of periods at which the interest is applied.

In TVM calculations, "N" refers to the number of compounding periods or the number of times interest is applied. It represents the time duration or the number of periods over which the cash flows occur or the investment grows. The value of "N" can be measured in years, months, quarters, or any other unit of time, depending on the specific situation.

For example, if an investment pays interest annually for 5 years, then "N" would be 5. If the interest is compounded quarterly for 10 years, then "N" would be 40 (4 compounding periods per year for 10 years).

Understanding the value of "N" is essential for calculating present value, future value, annuities, and other financial calculations in TVM, as it determines the frequency and timing of cash flows and the compounding effect over time.

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The percentage gain is 45%

To calculate the percentage gain on your investment, you need to find the difference between the selling price and the buying price, divide that difference by the buying price, and then multiply by 100 to get the percentage.

The difference between the selling price and the buying price is:

$21.75 - $15 = $ 6.75

So the gain on the investment is $ 6.75 per share.

To find the percentage gain, you divide the gain by the buying price:

$6.75 ÷ $15 = 0.45

Then, multiply by 100 to convert this into a percentage :

0.45 x 100% = 45%

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In response to the query, we can state that Salim thereby covered a total fraction distance of about 3.83 miles.

To represent a whole, any number of equal parts or fractions can be utilised. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio of the numerator to the denominator. They can all be expressed as simple fractions as integers. In the numerator or denominator of a complex fraction is a fraction. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolise half of a whole number or object.

Salim therefore walked a total of:

4/3 Plus 5/2 miles

We must identify a common denominator in order to add these fractions:

Six is the least frequent multiple of 3 and 2.

We may therefore rephrase the following fractions with denominators of 6:

4/3 = (4/3) x (2/2) = 8/6

5/2 = (5/2) x (3/3) = 15/6

We can now combine the fractions:

8/6 + 15/6 = 23/6

Salim covered a distance of 23/6 miles in all.

This fraction can be simplified by dividing both the numerator and denominator by their largest common factor, which is 1:

3.83 miles, or 23/6 miles (rounded to two decimal places)

Salim thereby covered a total distance of about 3.83 miles.

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Answer:

In order (Problem 1-4)

B

C

A

D

Step-by-step explanation:

These will give you 100%! Wish I had these before I took the quick check.

Answer:

The answer is b

Step-by-step explanation:

The whole test is

B

C

A

D

C

Answer:

d

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Let x be the amount of 20% saline solution then the amount of 48% will

8 - x milliliters.

So,

0.20x + 0.48(8 - x) = 0.32* 8

0.20x + 3.84 - 0.48x = 2.56

-0.28x = -1.28

x = -1.28/-0.28

  = 4.57 milliliters.

8 - x = 3.43 milliliters

The answer is:

4.57 milliliters of 20% solution and 3.43 milliliters of the 48% solution.

Answer:

Step-by-step explanation:

The shaded region is the difference of large and small rectangles.

The area is the difference of areas:

Answer:

The area of shaded region = 3x²+7x

Step-by-step explanation:

Area of larger rectangle = (2x+5)(2x)

=> 4x²+10x

Area of smaller rectangle = (x+3)(x)

=> x²+3x

The area of shaded region = Area of larger rectangle - Area of smaller rectangle .

=> 4x²+10x - (x²+3x)

=> 4x²+10x -x²-3x

=> 3x²+7x

a) The growth rate (r) for the logistic difference equation P(n+1) = 1.205P(n) - 0.00019P(n)² b) The carrying capacity represents the maximum population size that the environment can sustain. c) P(n+1) = P(n) = P(e), where P(e) represents the equilibrium population

a) To determine the growth rate (r), we examine the coefficient of the linear term in the logistic difference equation. In this case, the coefficient is 1.205. Therefore, the growth rate is approximately 1.205.

b) The carrying capacity (K) represents the maximum population size that the environment can sustain. In the logistic difference equation, the carrying capacity can be found by taking the limit as n approaches infinity. In this equation, the carrying capacity is not explicitly given. However, in a logistic model, the carrying capacity often corresponds to the value of P(n) when the equation reaches equilibrium. Therefore, to find the carrying capacity, we need to find the equilibrium values of the population.

c) To find the equilibrium values of the population, we set P(n+1) = P(n) = P(e), where P(e) represents the equilibrium population. Solving the equation 1.205P(e) - 0.00019P(e)² = P(e), we obtain two equilibrium values: a smaller equilibrium (P(es)) and a larger equilibrium (P(el)). These equilibrium values can be rounded to the nearest integer.

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Answer:-.3 , .01 , 1/5 , -1/-4

Step-by-step explanation:

The composed function for the surface area of the cube for any given volume of an inscribed sphere, A(V) =  24( \(\sqrt[3]{\frac{3V}{4\pi} }\))²

The function used to find the radius r of a sphere given volume V,

r(V) = \(\sqrt[3]{\frac{3V}{4\pi} }\)

The function used to find the length of the side s of the cube depending on the radius r of the sphere, s(r) = 2r

The function used to find the surface area A of the cube depending on the side of the cube s, A(s) = 6s²

We need to find the composed function for the surface area A of the cube for any given volume V of an inscribed sphere. i.e., A(V)

We have, A(s) = 6s²

Substituting function for s to A(s)

⇒ A(s(r)) = 6(2r)² = 24r²

Substituting function for r into A(s(r)),

⇒ A(s(r(V))) = 24( \(\sqrt[3]{\frac{3V}{4\pi} }\))²

So the function for the surface area of the cube depending on the volume of the inscribed sphere, A(V) =  24( \(\sqrt[3]{\frac{3V}{4\pi} }\))²

The question is incomplete. Find the complete question below:

Consider a cube with an inscribed sphere. The function  r(V) = \(\sqrt[3]{\frac{3V}{4\pi} }\) can be used to find the radius, r, of a sphere given the volume, V . The function  s(r) = 2r can be used to find the side length of the cube, s , depending on the radius of the sphere. The function A(s) = 6s² can be used to find the surface area,  A , of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

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Answer:

Answer is D

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The cost for purchase of 0 tokens is $60. This "initial value" is the y-intercept of the function.

The cost for each token is $1.00/10 = 1/10 (dollar), so the slope of the function is 1/10.

The slope-intercept form of the function can be written ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 1/10x + 60

__

The minimum value of this function is 60, so the range is y ≥ 60.

The function is defined for all real numbers, but only makes sense for all non-negative integers. So, we cannot claim the domain is all real numbers.

Answer:

(B, C, E)

Step-by-step explanation:

Let's evaluate each answer choice:

"The slope of the function is $1.00"

Wrong. The slope is how much one game token costs. It costs $1 per 10 tokens, not 1 token. To find the cost of 1 game token, you would divide 1 by 10, giving you a value of 1/10.

"The y-intercept of the function is $60"

Correct. The initial fee is $60, and this initial fee doesn't change, so it's the y-intercept.

"The function can be represented by the equation y = 1/10x + 60"

Correct. We just mentioned before that the slope is 1/10 and the y-intercept is 60.

"The domain is all real numbers"

Wrong. "All real numbers" also includes negative numbers. However, x represents the number of tokens bought, and you can't buy a negative amount of tokens.

"The range is {y| y >= 60}"

Correct. The range represents the total cost of a yearly membership. When you get the membership, you're ALWAYS going to have to pay $60, no matter how many tokens you buy after that.

Hope this helps (●'◡'●)

The value of the function is 2f(3) + f(-4) is 6.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have.

To find the value of 2f(3) + f(-4), we first need to find the values of f(3) and f(-4):

f(3) = -3(3) + 4 = -5

f(-4) = -3(-4) + 4 = 16

We can substitute these values into the expression 2f(3) + f(-4):

2f(3) + f(-4) = 2(-5) + 16 = 6

Therefore,

The value of 2f(3) + f(-4) is 6.

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Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

Reaction rates decline with time because the reactants are consumed over time, reducing the number of reactant particles available for reaction.

The components that are involved in a chemical reaction are known as reactants. They are the beginning ingredients that are changed into new compounds, known as products, through a chemical process. The left side of a chemical equation is often used to represent reactants, whereas the right side is used to indicate products. The quantity and kind of reactants and products affect the kind of chemical reaction that takes place. Pure substances, such as elements or compounds, or combinations of substances, can function as reactants with time. In a chemical reaction, reactants are changed into products by chemical bonds being broken and formed, releasing or absorbing energy in the process.

How to solve?

As the number of reactant particles decreases, the rate of reaction also decreases. This phenomenon can be observed in many chemical reactions, including reactions that involve the decay of radioactive elements.To correctly process data on the decline of reaction rates with time, it is important to choose the appropriate data points for linear regression. This typically involves selecting data points at regular intervals, such as every minute or every hour, to accurately represent the decline in reaction rates over time. By choosing the right data points and performing linear regression, it is possible to accurately model the decline in reaction rates and make predictions about future reactions.

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The total number of different outfits that Whitney can create is 25 (outfits with shirts and bottoms) + 2 (outfits with dresses) = 27 different outfits.

To calculate the number of different outfits Whitney can create, we need to consider the combinations of shirts and bottoms, as well as the dresses.

The number of different outfits using shirts and bottoms can be found by multiplying the number of choices for shirts (5) by the number of choices for bottoms (pants or skirts), which is the sum of the number of pants (3) and the number of skirts (2). So, there are 5 * (3 + 2) = 5 * 5 = 25 different outfits using shirts and bottoms.

In addition to the outfits using shirts and bottoms, Whitney can also wear the dresses. Since she has 2 dresses, she has 2 different outfits with dresses.

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

The claim that the nutritionist is trying to find evidence to support is that the mean daily coffee consumption among the student coffee drinkers exceeds 3.1 cups, which is option E.

The nutritionist's survey results suggest that the mean daily coffee consumption for the sample of student coffee drinkers is 3.5 cups, which is greater than the reported mean for American adult coffee drinkers.

The nutritionist wants to run a one-sample t-test for a mean to determine if the difference is statistically significant and provides evidence to support her suspicion that the mean daily coffee consumption among student coffee drinkers at her university is greater than the national average.

Therefore, correct answer is option E.

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

⇒1875 = 50 × Height

⇒ Height = \(\frac{1875}{50}\) = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

__________________________________________________________

Hello! In this question, we are trying to find the percentage increase in Miss Meg's salary.

__________________________________________________________

Explanation:

From the question, we were provided the following information:

With this information, we will be able to find the percentage of increase in her salary.

__________________________________________________________

Solve:

To find Miss Meg's percentage salary increase, let us first calculate the difference between her new and initial salary.

$1760 - $450 = $1310

We now know that Miss Meg's salary increased by $1310

Using this information, we can then get her salary increase amount and divide it by her original salary.

$1310 ÷ $450 = 2.9111

Multiply 2.911 by 100 to get the decimal into percentage form to show us the percentage salary increase.

2.911 × 100 = 291.11%

This means that Miss Meg's percentage salary increase was 291.11%

__________________________________________________________

Answer:

\(\boxed{291.11\%}\)

__________________________________________________________

Answer:

7/2

Step-by-step explanation:

First get daily:

15/30 = 1/2

Then weekly:

1/2 x 7 = 7/2

Answer: 3 1/2

Step-by-step explanation: