triangle rrr has an area of 404040 square units. salome drew a scaled version of triangle rrr and labeled it triangle ttt.

Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 microliter it is equivalent to 0.001 Milliliter.

The approximate solution of this system of equations is

(x,y)=(-0.25,1.25)

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.

Given that,

y = |x − 1| and y = 3x+2

 y = |x − 1|

    = (x-1) ,    for  (x-1)>0 or x>1

and

y = -(x-1)  ,    for(x-1)<0  or x<1

y  = -x+1      

Now,   For x>1

y = x-1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = x-1

→ 3x-x = -1-2

→ 2x = -3

→ x = -3/2

→ x = -1.5 which is <1.

For x<1

y = -x+1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = -x+1

→ 3x+x = 1-2

→ 4x = -1

→ x = -1/4

→ x= -0.25 which is <1.

substitute the value of x = -0.25 in equation 1 for x<1.

y = -x+1

  = -(-0.25)+1

y  = 1.25

Hence, The approximate solution of this system of equations is

(x,y)=(-1/4,5/4)=(-0.25,1.25).

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Answer:

What are you tring to figure out? How many gigabytes?

Step-by-step explanation:

Answer:

We can use the Pythagorean theorem to find the length of the hypotenuse:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Plugging in the given values, we get:

c^2 = 16^2 + 10^2

c^2 = 256 + 100

c^2 = 356

Taking the square root of both sides, we get:

c = sqrt(356)

c ≈ 18.9

Therefore, the length of the hypotenuse is approximately 18.9 cm.

The multiplied form of the Algebraic expression is 10x -0.8\(x^{2}\)

An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable

2x( 5 - 0.4x)

we multiply each term in the bracket by 2x

2x  x 5  - 2x x 0.4x = 10x - 0.8\(x^{2}\)

In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8\(x^{2}\)

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1. Lines a and b are parallel by the converse of alternate interior angles theorem

2. l║m by the converse of consecutive interior angles theorem.

Given that the interior angles, ∠3 ≅ ∠7, according to the converse of alternate interior angles theorem, the lines they are found on, lines a and b would be parallel.

1. Lines a and b are parallel.

Given that the interior angles, m∠5 + m∠12 = 180, according to the converse of consecutive interior angles theorem, the lines they are found on, lines l and m would be parallel.

2. Lines l and m are parallel.

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Answer:

actually the answer is false

Solution: x<5/8

decimal:x<0.625

interval notation:-∞,5/8

Step-by-step explanation:

add/subtract the numbers : 5-4=1

expand 1-5(7x+5):35x-24

add 24 to both sides

35-24+24<-5x+1+24

simplify

35x<-5x+25

add 5x to both sides

35x+5x <-5x+25x+5x

simplify

40x/40 <25/40

simplify

x<5/8

Answer:

72.3

Step-by-step explanation:

(72+69)/1,95

Answer:

72.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 3x - 12 = 15

Now the value of x will be,

→ 3x - 12 = 15

→ 3x = 15 + 12

→ x = 27/3

→ [ x = 9 ]

Hence, the value of x is 9.

The exponential function that determines the value of the car after x years is y = 18000(0.65)ˣ. Here the rate of decrease is the same each year.

The exponential function is the function that gives the relationship between the input and the output with a rate of increase or decreases exponentially. It is given by the formula,

y = abˣ

Where 'a' is the initial value, 't' is the time, and 'b' is the rate. If b > 1, then the function is said to be the exponential growth function, and if b < 1, the function is said to be the exponential decay function.

Given that, a car is sold for $18,000.

So, the initial value a = 18000.

After one year (x = 1), the value of the car is $11,700 i.e., y = 11700. So we can write the exponential function as

11700 = 18000(b)¹

⇒ b = 11700/18000 = 0.65

Since b < 1, the function is exponentially decaying.

Then, the value of the car after 'x' years is given by the exponential decay function as

y = 18000(0.65)ˣ

(It is given that, the rate of decrease is the same each year).

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If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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He will earn $30 on a weekend if he throws 40 papers.

What is a linear equation?

A linear equation is an equation of the form y = mx + b, where x and y are variables, and m and b are constants. The equation represents a straight line on a graph, and it can be used to model a wide range of real-world phenomena that exhibit a linear relationship between the variables.

In the case of Malcolm's paper route, we can write two linear equations to represent the separate amounts he earns on weekdays and weekends.

On weekdays, Malcolm is paid $12 per week plus $0.30 per paper. This can be represented by the linear equation:

y = 0.30x + 12

On weekends, Malcolm is paid $15 per weekend plus $0.50 per paper. This can be represented by the linear equation:

y = 0.50x + 15

To determine the amount Malcolm earns on a weekday if he throws 25 papers, we can substitute x = 25 into the first equation:

y = 0.30*25 + 12 = $14.50

To determine the amount Malcolm earns on a weekend if he throws 40 papers, we can substitute x = 40 into the second equation:

y = 0.50*40 + 15 = $30.00

Hence, he will earn $30 on a weekend if he throws 40 papers.

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Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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Answer:

C

Step-by-step explanation:

\(\frac{12x^3-14x^2-40x}{2x-5}\) ( factorise numerator by factoring out 2x from each term )

12x³ - 14x² - 40x

= 2x(6x² - 7x - 20) ← factor the quadratic

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 20 = - 120 and sum = - 7

The factors are - 15 and + 8

Use these factors to split the x- term

6x² - 15x + 8x - 20 ( factor the first/second and third/fourth terms )

= 3x(2x - 5) + 4(2x - 5) ← factor out (2x - 5) from each term

= (2x - 5)(3x + 4)

Then

\(\frac{2x(2x-5)(3x+4)}{2x-5}\) ← cancel the common factor (2x - 5) on numerator/denominator

= 2x(3x + 4) ← distribue

= 6x² + 8x → C

The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = 5(x - 6)³ + 4

The inverse function of the function f(x) is given as,

x = 5(y - 6)³ + 4

y = ∛[(x - 4) / 5] + 6

f⁻¹(x) = ∛[(x - 4) / 5] + 6

The graph of the function and inverse function is given below.

The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

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Answer:

\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

Step-by-step explanation:

The question is poorly formatted.

Given

\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)

Required

Derive an equivalent expression

\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)

Express 18 as 9 * 2

\(\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}\)

Split the expression as follows:

\(\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}\)

Take positive square root of 9

\(\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}\)

\(\sqrt[3]{2y^3} * 21 * \sqrt{2y}\)

\(21*\sqrt[3]{2y^3} * \sqrt{2y}\)

The cube root can be rewritten to give:

\(21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}\)

\(\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y\)

So, we have:

\(21*\sqrt[3]{2} * y * \sqrt{2y}\)

Rewrite as:

\(21y *\sqrt[3]{2} * \sqrt{2y}\)

Split \(\sqrt{2y\)

\(21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}\)

Collect Like Terms

\(21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}\)

Represent in index form

\(21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}\)

Apply law of indices

\(21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }\)

\(21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}\)

\(21*y^{\frac{3}{2}} *2^{\frac{5}{6}}\)

\(21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

Hence:

\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

The original price of the computer game is given as follows:

$105.

The original price of the computer game is obtained applying the proportions in the context of the problem.

We have that a reduction in 40% in the price of the game is equivalent to a reduction of $42, meaning that $42 is 40% of the original price, hence the original price is obtained as follows:

0.40x = 42

x = 42/0.4

x = $105.

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Answer:

sorry the image is not their

Step-by-step explanation:i would help if you give me the picture.

Answer:

y=3x-15

Step-by-step explanation:

y-y1=m(x-x1)

y-9=3(x-8)

y=3x-24+9

y=3x-15

The expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

To calculate the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = final amount
P = principal amount (initial amount)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years

Given that the car is to be paid P15,000 at a 9% interest rate, we need to find the equivalent amount after 9 years at a 6% annual interest rate compounded quarterly.

P = 15,000
r = 6% = 0.06
n = 4 (quarterly compounding)
t = 9

Plugging in these values into the formula:

A = 15,000(1 + 0.06/4)^(4*9)

Calculating this expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

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Step-by-step explanation:

100 multiple it by the percentage

Answer:

100

Step-by-step explanation:

multiply by the percentage that you have

Surfaces of the solid bounded are x² + y² = 4, z = x - 3 and z = x + 2 is ff(x - 2)dS = 10π + 4.

Given surfaces of the solid bounded are x² + y² = 4, z = x - 3 and z = x + 2We need to evaluate ff(x - 2)dS where S is the surface of the solid bounded by above given surfaces.

We know that for a surface S, the equation of its projection onto the xy-plane is given by

R(x,y) = {(x,y) | (x² + y²) ≤ 4}.Now, using divergence theorem,

we have

∫∫f(x,y,z) dS

= ∫∫∫ (∇ · f) dV

Now, ∇ · f = ∂f/∂x + ∂f/∂y + ∂f/∂z

Given, f(x - 2) ∴ ∇ · f

= ∂f/∂x + ∂f/∂y + ∂f/∂z = (∂/∂x)(x - 2) + 0 + 0 = 1

So, ∫∫f(x,y,z) dS = ∫∫∫ (∇ · f) dV = ∫-2² ∫-√(4 - x²)² -2² ∫x - 3 x + 2 (1) dz dy dx= ∫-2² ∫-√(4 - x²)² -2² [(x + 2) - (x - 3)] dy

dx= ∫-2² ∫-√(4 - x²)² -2² (5) dy dx= 5 ∫-2² ∫-√(4 - x²)² -2² dy

dx= 5 ∫-2² [y] -√(4 - x²)² -2² dx= 5 ∫-2² [-√(4 - x²) - 2] dx= 5 [-∫-2² √(4 - x²) dx - 2 ∫-2²

dx]= 5 [-∫-π/2⁰ 2 cosθ . 2 dθ - 2(-2)]= 5 [4 sinθ] - 20π/2 + 4= 10π + 4 (Ans)Thus, ff(x - 2)dS = 10π + 4.

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Unsupervised learning involves finding interesting angles of data points in the data space. The Option A.

Unsupervised learning serves several key functions in data analysis. By exploring the data space, it aims to identify intriguing angles or perspectives of the data points that may reveal hidden patterns or relationships.

It also seeks to uncover low-dimensional representations of the data, allowing for more efficient processing and analysis. Through identifying interesting coordinates and correlations within the data, its provide insights into how variables may be related or contribute to certain outcomes.

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Answer:

AB=5.39 cm

BC=5 cm

CD=5.83 cm

DE=3.91 cm

A to E=20.13 cm

Step-by-step explanation:

DE^2=2.5^2+3^2

DE^2=6.25+9

DE^2=15.25

DE=3.91

CD^2=3^2+5^2

CD^2=9+25

CD^2=34

CD= 5.83

BC^2=4^2+3^2

BC^2=16+9

BC^2=25

BC=5

AB^2=5^2+2^2

AB^2=25+4

AB^2=29

AB=5.39

5.39+5+5.83+3.91=20.13

The derivative of the function g(x) = 2/e^x + e^(-x) is -3e^(-x).

To find the derivative of the function g(x) = 2/e^x + e^(-x), we can use the rules of differentiation. We will differentiate each term separately.

Let's start with the first term: 2/e^x. To differentiate this term, we can use the quotient rule.

The quotient rule states that for a function of the form f(x) = u(x)/v(x), where u(x) and v(x) are differentiable functions, the derivative is given by:

f'(x) = (u'(x)v(x) - u(x)v'(x)) / v(x)^2

In our case, u(x) = 2 and v(x) = e^x. Let's calculate the derivatives of u(x) and v(x):

u'(x) = 0 (the derivative of a constant is zero)

v'(x) = e^x (the derivative of e^x is e^x)

Now we can apply the quotient rule:

f'(x) = (0 * e^x - 2 * e^x) / (e^x)^2

      = -2e^x / e^(2x)

      = -2e^(x - 2x)

      = -2e^(-x)

Next, let's differentiate the second term: e^(-x). The derivative of e^(-x) is found using the chain rule.

The chain rule states that for a function of the form f(g(x)), where f(x) is a differentiable function and g(x) is also differentiable, the derivative is given by:

(f(g(x)))' = f'(g(x)) * g'(x)

In our case, f(x) = e^x and g(x) = -x.

Let's calculate the derivatives of f(x) and g(x):

f'(x) = e^x (the derivative of e^x is e^x)

g'(x) = -1 (the derivative of -x is -1)

Now we can apply the chain rule:

(f(g(x)))' = e^(-x) * (-1)

          = -e^(-x)

Now, we can find the derivative of the function g(x) = 2/e^x + e^(-x) by summing the derivatives of the individual terms:

g'(x) = -2e^(-x) + (-e^(-x))

     = -3e^(-x)

Therefore, the derivative of the function g(x) = 2/e^x + e^(-x) is g'(x) = -3e^(-x).

In conclusion, the derivative of the function g(x) = 2/e^x + e^(-x) is -3e^(-x).

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The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.

After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.

Thus, the answer is "Yes."

The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.

Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.

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Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.

Can the bootstrap method be used?

Group of answer choices

yes

no

Answer:

0.2 = n

Step-by-step explanation:

Since we want to express 3:15 as n:1, we can say that they are equal ratios, so

3:15 = n:1. Next, ratios can be written as fractions, so 3/15 = n/1 .

3/15 = n/1

Since anything divided by 1 equals itself, we can write this as

3/15 = n

0.2 = n

bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

To find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c, we can use the intercept form of the equation of a plane:

x/a + y/b + z/c = 1

This equation states that any point (x, y, z) on the plane will satisfy this equation.

To see why this is true, note that if x = a, then the left-hand side of the equation is 1, since y/b + z/c = 0 (since the numerator is 0).

Similarly, if y = b, then the left-hand side of the equation is 1, since x/a + z/c = 0.

Finally, if z = c, then the left-hand side of the equation is 1, since x/a + y/b = 0.

To simplify this equation, we can multiply both sides by the denominators a, b, and c:

hence, bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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