Five less than twice a number is greater than ten times a number.
Please help I have no clue what I'm looking at.

Answer:

See below.

Step-by-step explanation:

Model the system of equations, and solve for x to determine the required horizontal distance.

\(\left \{ {{y=-0.5x^2+3x+10} \atop {y=-0.2+7}} \right.\)

Transform the quadratic equation into standard form and substitute for y into linear equation. Since the quadratic equation already is in the standard form, substitute for y:

\(y=-0.2x+7\)  ---> Rewrite the linear equation.

\(-0.5x^2+3x+10=-0.2x+7\) ---> Substitute \(y=-0.5x^2+3x+10\).

\(-0.5x^2+3.2x+3=0\) ----> Simplify.

Solve the equation by using the Quadratic Formula:
Identify \(a=-0.5,b=3.2,c=3.\)

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)         -----------------> Write the Quadratic Formula.

\(=\frac{-3.2\pm\sqrt{3.2^2-4*(-0.5)*3} }{2*(-0.5)}\) -------------------> Substitute for a, b, and c.

\(=\frac{-3.2\pm\sqrt{16.24} }{-1}\) ----------------------> Simplify.

\(=3.2\pm4.03\) --------------------> \(\sqrt{16.24}=(\text{Estimated})4.03\) and simplify.

\(x=7.23\), and

\(x = -0.83\)

The distance does not make sense for negative numbers, so only consider \(x=7.23.\)

Thank you,

Eddie Echevarria

Answer:

This is the answer I got.

Answer:

B is the answers for the question

Step-by-step explanation:

please mark me as brainlest

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Agility, balance, coordination, speed, reaction time, and power are all components of Skill -related fitness.

The skill-related component of physical fitness is specifically related to skills used in sports and is often (but not always) combined with other components of fitness. For example, power is strength at speed. Agility is a combination of strength and balance. The six basic fitness components related to ability are flexibility, balance, coordination (hand-eye or foot-eye), strength, reaction time and speed. If you already meet ACSM guidelines and want to train more for specific fitness-related goals, consider his six fitness components related to ability. The health component of fitness is of universal importance. Performance-related fitness components are better suited to specific athletes. For example, everyone benefits from a daily walk, but someone who walks just to get their heart pumping doesn't need to be fast enough to run a 5-minute mile.

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The solution to the logarithmic equation \(2log12(-8x) = 6\) is \(x = -9/32\) .

What are logarithmic properties ?

Logarithmic properties are the rules that govern the behavior of logarithmic functions. These properties are important in simplifying logarithmic expressions and solving logarithmic equations. Some of the commonly used logarithmic properties include:

Product property: \(logb(xy) = logb(x) + logb(y)\)

This property allows us to simplify the logarithm of a product of two numbers into the sum of logarithms of the individual numbers.

Quotient property: \(logb(x/y) = logb(x) - logb(y)\)

This property allows us to simplify the logarithm of a quotient of two numbers into the difference of logarithms of the individual numbers.

Power property:\(logb(x^y) = ylogb(x)\)

This property allows us to simplify the logarithm of a power of a number by bringing the exponent outside of the logarithm and multiplying it with the logarithm of the base.

Change of base formula: \(logb(x) = logc(x) / logc(b)\)

This property allows us to change the base of a logarithm by dividing the logarithm of the number by the logarithm of the base in a different base.

Solving the given logarithmic equation :

The equation can be solved by using logarithmic properties and basic algebraic manipulation.

We can begin by using the property that states \(loga(b^n) = nloga(b)\) for any base a and any positive real number b. Applying this property, we can rewrite the left side of the equation as:

\(log12((-8x)^2) = log12(64x^2)\)

Next, we can use the property that states \(loga(b) = c\) is equivalent to \(a^c = b\). Applying this property, we can rewrite the equation as:

\(12^{2log12(64x^2)} = 12^6\)

Simplifying the left side, we get:

\(64x^2 = 12^6 / 12^2\)

\(64x^2 = 144\)

Dividing both sides by 64, we get:

\(x^2 = 144/64\)

\(x^2 = 9/4\)

Taking the square root of both sides, we get:

\(x=\pm 3/2\)

However, we need to check the solutions for extraneous roots since the original equation has a logarithm with a negative argument. We can see that the solution x = 3/2 is extraneous since it results in a negative argument for the logarithm. Therefore, the only valid solution is x = -9/32.

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Answer:

2(3/2)+ .5 - (0-1)

Step-by-step explanation:

After 2.10 years, there will be 8 grams of radioactive substance left.

The rate of decay of a radioactive substance is proportional to the amount of substance present.

Thus, we can conclude that the quantity of the radioactive substance present decreases exponentially over time.

A radioactive decay constant is defined as the fraction of the substance that decays in a unit of time, t.

According to the given statement, the rate of decay of a radioactive substance is proportional to the amount of substance present.

Suppose that the quantity of radioactive substance present initially is A0.

Then, the decay constant is represented by λ.

As the substance continues to decay, the remaining amount of the substance present after time t can be given by the exponential decay equation:  A(t) = A0e-λt

where A(t) represents the amount of substance present after time t.

In this problem, we are given that 12 grams of the substance were initially present, and now there are 8 grams. Therefore, we need to find out the value of t using the given data.

For this, we can use the exponential decay equation:  A(t) = A0e-λt

Let's assume that the amount of the substance present after time t is A(t) = 8 g, A0 = 12 g

Thus, the equation becomes 8 = 12e-λt

To find the value of λ, we can rearrange the equation and take the natural logarithm on both sides:

ln (8/12) = ln (e-λt)ln (8/12)

= -λt ln (e)ln (8/12)

= -λt λ = -ln (8/12)/t λ = ln (12/8)/t λ = 0.2877/t

Since we now know the value of λ, we can substitute the values of A0 and λ in the exponential decay equation to find the value of t.

A(t) = A0e-λtA(t) = 12e-0.2877/t

A(t) = 8 (Given)

Therefore, 8 = 12e-0.2877/t 0.6667 = e-0.2877/t

Taking natural logarithm on both sides, we get:

ln (0.6667) = ln (e-0.2877/t)ln (0.6667)

= -0.2877/t ln (e)ln (0.6667)

= -0.2877/t t

= -0.2877/ln (0.6667) t

= 2.10 years.

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The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.

A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -

y = 5x + 4

2x + 3y = 5x + 8π

cos(ny) = sin(πx)

Given is the following equation -

x - 4/5 - x + 1/6 = 1/3

We have -

x - 4/5 - x + 1/6 = 1/3

x - x - 4/5 + 1/6 = 1/3

- 4/5 + 1/6 = 1/3

Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions

Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions

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False. The FFT is a very efficient algorithm for computing the DFT that can handle arbitrary sizes of input data.

While it is true that the Cooley-Tukey algorithm, one of the most popular implementations of the Fast Fourier Transform (FFT), requires the number of points to be a power of 2 for optimal efficiency, there are other FFT algorithms that can handle arbitrary sizes of input data. Examples include the Bluestein's algorithm and the prime-factor algorithm.

However, it is still common to use FFT with power-of-two sizes because they are easy to work with and most libraries and applications are optimized for those sizes.

It is important to note that the efficiency of the FFT also depends on other factors such as the hardware, the input data characteristics, and the specific implementation of the algorithm. In practice, it is recommended to test different FFT sizes and algorithms to find the best performance for a specific application.

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The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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Answer:

$3

Step-by-step explanation:

16 oz in a pound

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Answer:

Step-by-step explanation:

B

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

Sine function relates side lengths of a right triangle to an acute angle.

In a right triangle, the side lengths are related to the acute angles through the trigonometric functions. The side opposite the acute angle is related to the angle through the sine function, the side adjacent to the acute angle is related to the angle through the cosine function, and the hypotenuse is related to the angle through the tangent function.

More specifically, if θ is an acute angle in a right triangle and a and b are the lengths of the side opposite and adjacent to the angle respectively, and c is the length of the hypotenuse, we have:

sin(θ) = a/c

cos(θ) = b/c

tan(θ) = a/b

Thus, we can use these functions to find the length of any side of the right triangle if we know the measure of one of the acute angles and the length of one of the other sides.

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Answer:

scalene

Step-by-step explanation:

12.5, 4.4, and 11.72 are all different measurements

i hope this helped

When measuring height or distance, it is important to consider different perspectives when the measurement is influenced by factors such as angles, elevation, or relative positions, which can affect the accuracy of the measurement.

Different perspectives should be considered when measuring height or distance in situations where there are variables that can impact the measurement. These variables may include the angle from which the measurement is taken, the elevation or relative position of the observer, or other factors that can introduce errors or inconsistencies.For example, when measuring the height of a tall building, if the observer is at a significant distance or at a different angle than the base of the building, it can lead to inaccurate measurements. In such cases, it is important to consider different perspectives, possibly by using tools like surveying instruments or multiple observers at different locations, to ensure a more accurate measurement. Similarly, when measuring distances across uneven or hilly terrain, considering different perspectives becomes crucial. The line of sight between two points may be obstructed or require adjustments to account for the elevation changes

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In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).

A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).

In the given parallelogram vwxy:

Parallel sides are equal.

So, 2x = 6

x = 6/2 = 3

Opposite pair of angles are also equal.

So,

∠W = ∠Y = 65°

Now,

∠YVX = 61° (alternate interior angle).

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Answer:

the answer is c

Step-by-step explanation:

:))))))))

The city's population decreases by 5% annually, while the suburban population increases by 2%. The appropriate difference equation, we can estimate the populations in the city and suburbs two years later, in 2022.

Let's denote the initial population in the city as X₀ and the initial population in the suburbs as Y₀. The population in the city after one year, X₁, can be calculated as follows: X₁ = X₀ - 0.05X₀ = (1 - 0.05)X₀ = 0.95X₀. Similarly, the population in the suburbs after one year, Y₁, can be calculated as: Y₁ = Y₀ + 0.02Y₀ = (1 + 0.02)Y₀ = 1.02Y₀.

To estimate the populations in 2022, two years later, we can use the difference equation for each year successively. Therefore, the population in the city in 2022, X₂, can be expressed as: X₂ = 0.95X₁ = 0.95(0.95X₀) = (0.95)²X₀ = 0.9025X₀. Similarly, the population in the suburbs in 2022, Y₂, can be expressed as: Y₂ = 1.02Y₁ = 1.02(1.02Y₀) = (1.02)²Y₀ = 1.0404Y₀.

Thus, in 2022, the estimated population in the city would be approximately 90.25% of the initial population in 2020, while the estimated population in the suburbs would be approximately 104.04% of the initial population.

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Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

The 95 percent confidence interval that the true mean lead level of crows in the region is between 4.4157 and 5.3843.

What is a confidence interval?

An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

Given:  the mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm.

= x ± t×s/√n

= 4.90 ± (2.074)×1.12/√23

= (4.4157, 5.3843)

Hence, the 95 percent confidence interval that the true mean lead level of crows in the region is between 4.4157 and 5.3843.

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Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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