Trevon puts 8 gallons of gas in his car and pays$22. What is the cost of 1 gallon of gas?

Answer:

2a2 - 6a + 29

Step-by-step explanation:

Answer:

13,200 feet

Step-by-step explanation:

5,280 x 2 1/2 = 13,200

Answer:

13200

Step-by-step explanation:

5280 / 2 = 2640

5280+5280+2640=13200

2640 is half of 5280, which means it is the 1/2 part.

A secant line is a line that intersects a circle in two different points. On the other hand, a chord is a segment whose endpoints lie on the circle.

To further discuss how a chord differs from a secant line, let's delve a bit deeper.

A chord is a line segment with endpoints that lie on the circumference of a circle. As an example, if line AB is drawn inside circle O, then AB is a chord.

A chord can be the diameter of the circle if it passes through the center.

A secant line is a line that intersects a circle at two different points. For example, when the line.

AB is drawn outside of circle O, it intersects the circle in two distinct points, C and D.

As a result, AB is a secant line.

Based on this explanation, it can be concluded that the difference between a chord and a secant line is that a chord is a line segment that connects two points on the circumference of a circle.

A secant line, on the other hand, is a line that intersects a circle in two different points.

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Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below

Hence, in our case

Transform points N, M, and O accordingly,

Answer:

n,(-5, -6), M(-2, -5) o(-3, -7)

Step-by-step explanation:

other guy wrong but here you go.

With proper conclusion, we can say that the probability that Jones would get at least 20,000 additional miles out of the car is very low, almost negligible.

To find the probability that Jones would get at least 20,000 additional miles out of the car, we need to consider the distribution of the random variable.

In this case, the random variable represents the additional miles Jones would get out of the car, given that Smith claims it has been driven only 10,000 miles.
Given that the parameter is 20, we can assume that the random variable follows a Poisson distribution with parameter λ = 20.

The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space.

To find the probability that Jones would get at least 20,000 additional miles out of the car, we can use the cumulative distribution function (CDF) of the Poisson distribution. The CDF gives the probability that the random variable is less than or equal to a certain value. In this case, we want to find the probability that the random variable is greater than or equal to 20,000.

Using the Poisson CDF, we can calculate this probability. However, since the parameter is 20, the probability of getting at least 20,000 additional miles out of the car would be extremely low. It would be close to zero.

Therefore, with proper conclusion, we can say that the probability that Jones would get at least 20,000 additional miles out of the car is very low, almost negligible.

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The standard deviation of a point estimator is a measure of the variability or spread of the sampling distribution of the estimator.

n statistical inference, a point estimator is a statistic used to estimate an unknown population parameter based on sample data. The point estimator provides a single value or point estimate that serves as an estimate of the parameter of interest.

However, due to sampling variability, the estimates obtained from different samples are not expected to be exactly the same. The standard deviation of the point estimator quantifies this variability. It represents the typical amount by which the estimates from different samples deviate from the true population parameter.

A smaller standard deviation of the point estimator indicates that the estimates from different samples are more likely to be close to the true population parameter. Conversely, a larger standard deviation suggests that the estimates are more likely to be scattered further away from the true parameter.

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Answer:

y=2/3x-2

Step-by-step explanation:

Slope intercept is y=m(x)+b

m is the slope, so substitute

b is the y intercept so also substitute

Hope this helps :-)

This plot will provide a visual representation of how the purchased cost of the shell-and-tube heat exchanger changes over the specified range of surface areas.

To plot the purchased cost of the shell-and-tube heat exchanger as a function of the surface area, we need to consider the variation in the purchased cost capacity exponent.

The purchased cost of the heat exchanger can be expressed as:

C = C0 * (A)^b

where C is the purchased cost, C0 is the cost constant, A is the surface area, and b is the purchased cost capacity exponent.

Given that the purchased cost capacity exponent is not constant over the range of surface area requested (10 to 200 m²), we need to consider different values of b for different ranges of surface area.

Let's assume the following ranges and their corresponding purchased cost capacity exponents:

For 10 m² ≤ A ≤ 50 m², let b = 0.8

For 50 m² < A ≤ 100 m², let b = 0.7

For 100 m² < A ≤ 150 m², let b = 0.6

For 150 m² < A ≤ 200 m², let b = 0.5

Now, we can calculate the purchased cost for different values of surface area using the corresponding purchased cost capacity exponents.

For each range, substitute the given values of C0 and b into the cost equation to find the purchased cost for the corresponding surface area.

Once we have calculated the purchased costs for different surface areas, we can plot them on a graph with surface area (A) on the x-axis and purchased cost (C) on the y-axis.

The graph will show the variation in purchased cost as a function of surface area, considering the different purchased cost capacity exponents for different ranges.

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(-2, 5) Minimum

Step-by-step explanation:

y-5=(1/3)(x + 2)²

y-5=(1/3)(x²+4x+4))

y-5=1/3x²+4/3x+4/3

y=1/3x²+4/3x+4/3+5

y=1/3x²+4/3x+4/3+15/3

y=1/3x²+4/3x+19/3

graph is attached

x= -b/2a

x= (-4/3)/2(1/3)

x= (-4/3)/(2/3)

x= (-4/3)*(3/2)

3's cancel

x= (-4/1)*(1/2)

x = -4/2

x = -2

plug -2 back into

y=1/3x²+4/3x+19/3

y=1/3*4+4/3*-2+19/3

y=4/3-8/3+19/3

y=15/3

y=5

(-2,5)

if a is positive

graph looks like a smile

so minimum

if a is negative

graph looks like a frown

so maximum

quadraticswbi.weebly.com

The mean absolute deviation of the ages of the ages of the people at the party is 32.70

What is the significance of the mean absolute deviation?

The mean absolute deviation measures how far each age is from the mean

The first step is to determine the mean of the data distribution

mean=(75+28+16+8+4+12+80+93+37+50)/10

mean=40.30

We need to determine the difference between each age and the mean age disregarding negative signs

sum of distances from the mean=(75-40.30)+(28-40.30)+(16-40.30)+(8-40.30)+(4-40.30)+(12-40.30)+(80-40.30)+(93-40.30)+(37-40.30)+(50-40.30)

sum of distances from the mean=34.70+12.30+24.30+32.30+36.30+28.30+39.70+52.70+56.70+9.70

sum of distances from the mean=327.00

MAD=327.00/10

MAD=32.70

On the average, each age is 32.70 years away from the mean age of 40.30

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To determine whether two cylinders contain the same volume of water, each ... markers have been set up to determine the number of miles run by each participant ... each month her loan value could be modeled by the expression 18,000(0.98) ... Explain in words how you know if a solution to a quadratic equation is complex. The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 . ... Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) ... Explain your answer. ... Consider the first expression for any non-zero values of the variable. ... *See complete details for Better Score Guarantee.

Answer:

I'm thinking the ANS is letter B

The effective interest rate per quarter can be calculated using the formula:

r = e^(rt) - 1

where:
r is the annual interest rate (0.10),
e is the mathematical constant approximately equal to 2.71828,
t is the time period in years (1/4 for a quarter).

To find the effective per quarter interest rate, substitute the given values into the formula:

r = e^(0.10 * 1/4) - 1

Simplifying the expression:

r = e^(0.025) - 1

Using a calculator, we can find that e^(0.025) is approximately 1.0252.

Substituting this value back into the formula:

r = 1.0252 - 1

Simplifying further:

r ≈ 0.0252

Therefore, the effective per quarter interest rate, compounded continuously, is approximately 0.0252.

An interest rate of 10% per year, compounded continuously, is closest to an effective per quarter rate of 0.0252.

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Hi again! The equation to the function would be..

y = 1/2x + 1 (assuming that the initial value is one)

Answer:

Use the pythagorean theorem.

\(a^2 + b^2 = c^2\)

The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute

\(11^2 + b^2 = 17^2 \\121 + b^2 = 289\\\)

Subtract 121 from both sides to isolate B

\(b^2 + 121 - 121 = 289 - 121\\b^2 = 168\)

Take the square root of both sides to isolate b

\(\sqrt{b^2} =\sqrt{168} \\b = 12.961\)

Answer: The common ratio is 5 because each time, you multiply the previous number by 5 to get the next number.

Step-by-step explanation:

Answer:

If you're looking for the equation that represents this graph, it would be y=2x+1. Hope this helps :)

Answer:

7 miles per hour

21/3=7

14/2=7

7/1=7

Step-by-step explanation:

Answer:

the answer is 7 miles per hour

Using the conversion factor, Joselyn bought 2700 grams of chocolate candy

A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.

To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.

So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor

2.7 kg x 1000 g/kg = 2700 g

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The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .

Given :

A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .

Trigonometric Formula for Tan θ

tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .

where θ = 25 , perpendicular = 12 , base = x .

Substituting values in above first formula ,

tan 25 = 12 / x

Therefore , x = 12 / tan ( 25 ) .

Hence , a = 12 and b = 25 .

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Hey there!

\(Answer:\boxed{2x+2}\)

\(Explanation:\)

\((2x+2)\)

2x + 2 Remove parenthesis

2x + 2

Hope this helps!

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

Answer:

Story Pole

Step-by-step explanation:

Source : Trust me bro

If a and b are relatively prime positive integers, the Diophantine equation ax - by = c has infinitely many solutions in the positive integers. Given the hint, for any integer t greater than both |xo|/b and |yo|/a, a positive solution can be obtained by setting x = xo + bt and y = -(yo - at).

To prove that the Diophantine equation has infinitely many solutions, we can utilize the hint provided. The hint suggests the existence of integers xo and yo such that axo + byo = c. We start by choosing an arbitrary integer t that is greater than both |xo|/b and |yo|/a.

Substituting x = xo + bt into the original equation, we get a(xo + bt) - by = axo + abt - by = c. Simplifying this equation yields axo - by + abt = c. Since axo + byo = c, we can rewrite this as abt = byo - axo.

Now, we substitute y = -(yo - at) into the equation abt = byo - axo. This gives us abt = b(at - yo) - axo. Simplifying further, we have abt = abt - byo - axo, which holds true.

Hence, by choosing an appropriate value for t, we have shown that there are infinitely many solutions to the Diophantine equation ax - by = c in the positive integers, as stated in the initial claim.

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Answer:

será un posible gráfica de grado

Answer:

(h, k ) = (3, 1 )

Step-by-step explanation:

The coordinates of the vertex of a parabola are (h, k )

The vertex is the turning point of the graph and

(h, k ) = (3, 1 )

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)