Use the parabola tool to graph the quadratic function f(x)=x2+10x+24.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answer:

x = 9

Step-by-step explanation:

x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9

Hope this helped have a great day!

Therefore, the values of x that make the equation distance between (11,6) and (x,-9) equal to 17 are x = 19 and x = 3.

The formula y=mx+b is used to draw a simple regression graph. The inclination is B, and the y-intercept is m. It is frequently referred to simply as a "simple method combining many variables," despite the fact that the section before it is divided into distinct sections. Bivariate linear equations have two variables. For problems involving linear equations in applications, there are no proven solutions. Y=mx+b, also known as mx+b, provides a number of straightforward formulae.

Here,

Using the distance formula:

sqrt((x - 11)^2 + (-9 - 6)^2) = 17

Simplifying:

sqrt((x - 11)^2 + 225) = 17

Squaring both sides:

(x - 11)^2 + 225 = 289

(x - 11)^2 = 64

Taking the square root:

x - 11 = ±8

x = 11 + 8 or x = 11 - 8

x = 19 or x = 3

Therefore, the values of x that make the equation distance between (11,6) and (x,-9) equal to 17 are x = 19 and x = 3.

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Answer: 63 sedans

Step-by-step explanation:

21 * 3

The frequency of the wave is f = 0.67 hertz.

What is the frequency?

Frequency is the number of occurrences of a repeating event per unit of time.

1) The velocity of the wave can be calculated using the formula v = lambda / T, where lambda is the wavelength and T is the time period.

From the wave function, the wavelength can be determined by finding the distance between consecutive crests or troughs of the wave,

which is given by

2 * π / (5 * π / 6) = (2/5) * (6/π) m.

The time period can be determined by finding the time it takes for one complete wave cycle to occur, which is given by 2*π / (3 * π / 7) = (2/3) * (7/π) s.

So, the velocity of the wave is v = (2/5) * (6/π) m / ((2/3) * (7/π) s) = (12/15) * (6/7) * (π/π) m/s = 4/5 m/s.

2) The time period of the wave can be calculated as T = 2*π / (3 * π / 7) = (2/3) * (7/π) s.

3) The wavelength of the wave can be calculated as lambda = 2*π / (5 * π / 6) = (2/5) * (6/π) m.

4) The frequency of the wave can be calculated using the formula f = 1 / T, where T is the time period.

f = 1 / ((2/3) * (7/π) s) = (3/2) * (π/7) Hz

f = 0.67 hertz

Hence, the frequency of the wave is f = 0.67 hertz.

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The velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.

A wave function, in physics, is a mathematical description of a wave, usually used in quantum mechanics to describe the behavior of subatomic particles such as electrons and protons. The wave function provides information about the position, momentum, and other properties of a particle at a given point in time and space. It is represented by a complex mathematical function that satisfies Schrödinger's equation, which describes the time evolution of a wave function in a quantum system. The wave function is central to the interpretation of quantum mechanics and is often used to calculate the probabilities of different outcomes in quantum experiments.

Given the wave function:

y(x, t) = 0.75 m × sin[(5 × π / 6 m⁻¹) × x - (3 × π / 7 s⁻¹) × t + π / 5]

The velocity of the wave can be calculated using the wavelength (λ) and frequency (f) of the wave. The velocity (v) is given by v = λ × f. The wavelength (λ) and frequency (f) can be determined from the wave function as follows:

λ = 2 × π / (5 × π / 6 m⁻¹) = 6 / 5 m

f = 3 × π / 7 s⁻¹

So, the velocity of the wave is given by:

v = λ × f = (6 / 5 m) × (3 × π / 7 s⁻¹) = (6 × 3 × π / (5 × 7)) m/s = (6 × π / 35) m/s

The time period (T) of the wave is the time it takes for the wave to complete one full cycle. It can be determined from the frequency of the wave as follows:

T = 1 / f = 1 / (3 × π / 7 s⁻¹) = 7 / (3 × π) s

The wavelength (λ) of the wave has already been calculated in step 1 as λ = 6 / 5 m

The frequency (f) of the wave has already been calculated in step 1 as f = 3 × π / 7 s⁻¹

So, the velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.

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Answer:

B. 9[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Rewriting the two fractions in the expression:

=[tex]\frac{[(8)(2)]+1}{8} + \frac{[(8)(7)]+3}{8}[/tex]

=[tex]\frac{17}{8} + \frac{59}{8}[/tex]

Since the denominators of both the fractions is the same, then the denominator of the resulting simplified fraction will also be the same. In addition, everything written in the numerator level will be copied down as it is:

=[tex]\frac{17 + 59}{8}[/tex]

=[tex]\frac{76}{8}[/tex]

Divide the numerator and denominator by the Highest Common Factor '4':

= [tex]\frac{19}{2}[/tex]

Apply Long Division since:

Choose the highest quotient to be multiplied by 2 to give a number closest to 19 but still less than 19. The quotient turns out to be 9. The remainder is 1

∴ Sum of the expression = 9[tex]\frac{1}{2}[/tex]

The simplified form of 6 log₃x - 7 log₃y + 4 log₃z is  log₃{(x⁶z⁴)/y⁷}.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6.

The simplification of the provided logarithmic expression can be done as follows:-

6 log₃x - 7 log₃y + 4 log₃z,

= log₃x⁶ - log₃y⁷ + log₃z⁴ {Using the Power law}

= log₃x⁶ + log₃z⁴ - log₃y⁷

= log₃x⁶z⁴ - log₃y⁷ {Using the Product law}

= log₃{(x⁶z⁴)/y⁷} {Using the Quotient law}.

Hence, the simplified form of 6 log₃x - 7 log₃y + 4 log₃z is  log₃{(x⁶z⁴)/y⁷}.

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The appropriate distribution to answer questions about the New York Lotto is the hypergeometric distribution, which is used to calculate the probability of a certain number of successes in a sample of items drawn without replacement from a population.

The New York Lotto is a lottery game where participants select six numbers from a set of 51 numbers, 1 to 51. Then, six balls are randomly drawn from a barrel without replacement to determine the six winning numbers. To answer questions about the probability of various outcomes in this game, the appropriate probability distribution is the hypergeometric distribution. This distribution is used to calculate the probability of a certain number of successes in a sample of items drawn without replacement from a population. In the case of the New York Lotto, the population is the set of 51 numbers from 1 to 51, and the sample is the six numbers selected by the participant. The hypergeometric distribution can be used to calculate the probability of matching exactly two of the winning numbers.

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How the ffffffffffffffffffffffffffffffffffffffffff

Answer:

Step-by-step explanation:

Cost of goods available for sale:

Starting inventory: 150 units * $6/unit = $900

Purchase on June 1: 450 units * $7/unit = $3150

Purchase on June 23: 400 units * $8/unit = $3200

Total cost: $900 + $3150 + $3200 = $7450

Moving Average Unit Cost:

June 1: $7450 / (150 + 450) = $7/unit (rounded to 3 decimal places)

June 12: $7450 / (150 + 450 + 400) = $7.36/unit (rounded to 3 decimal places)

June 15: $7450 / (150 + 450 + 400 + 500) = $7.51/unit (rounded to 3 decimal places)

June 23: $7450 / (150 + 450 + 400 + 500) = $7.51/unit (rounded to 3 decimal places)

June 27: $7450 / (150 + 450 + 400 + 500 + 420) = $7.43/unit (rounded to 3 decimal places)

Cost of ending inventory using perpetual inventory system:

FIFO: $7.51/unit * 80 units = $604 (rounded to 3 decimal places)

LIFO: $7/unit * 80 units = $560 (rounded to 3 decimal places)

Average Cost: $7.43/unit * 80 units = $594.4 (rounded to 3 decimal places)

Answer:

Supernova

Step-by-step explanation:

A supernova is a powerful and luminous explosion of a star, which is what the sun is.

All other things being equal, outliers tend to have a greater effect on the value of the mean, as compared to the value of the median. The given statement is true.

What is the mean and median?

Outliers are values that are significantly different from the other values in a data set, and their presence can greatly affect the value of measures of central tendency, such as the mean and the median.

The mean is a measure of central tendency that is calculated as the sum of all the values in a data set divided by the number of values. The presence of outliers can greatly affect the mean because outliers can have a large impact on the sum of the values in the data set. For example, if a data set has a few very large outliers, the mean will be pulled up to be much higher than the median, which represents the midpoint of the data set.

On the other hand, the median is a measure of central tendency that is calculated as the middle value of a data set when the values are arranged in order. The median is not as sensitive to outliers as the mean because outliers do not affect the median unless the number of outliers is so large that it changes the value of the middle value.

Hence, all other things being equal, outliers tend to have a greater effect on the value of the mean than on the value of the median.

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The average rate of change of the function is zero, the difference quotient is  6x + 3h - 1 and the value of (x, y) are (3/8, 29/4).

1.

The function f(x) = x² - x² + 3 is a constant function, since the two terms x² - x² cancel out. Therefore, the average rate of change of f(x) on the interval [0,2] is zero, since the function has the same value (3) at both endpoints.

2.

The difference quotient for the function f(x) = 3x² - x + 4 is:

(f(x+h) - f(x)) / h

= ((3(x+h)² - (x+h) + 4) - (3x² - x + 4)) / h

= (3x² + 6xh + 3h² - x - h + 4 - 3x² + x - 4) / h

= (6xh + 3h² - h) / h

= 6x + 3h - 1

3.

To solve the system of equations:

2x + y = 8

-4x + 2y = 13

We can use either substitution or elimination method. Here we'll use the elimination method:

Multiplying the first equation by 2, we get:

4x + 2y = 16

Adding this equation to the second equation, we eliminate y and get:

4x + 2y - 4x + 2y = 16 + 13

4y = 29

y = 29/4

Substituting y = 29/4 into the first equation, we get:

2x + 29/4 = 8

2x = 8 - 29/4

2x = 3/4

x = 3/8

Therefore, the solution to the system of equations is (x,y) = (3/8, 29/4).

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Answer:

284

Step-by-step explanation:

open up the triangle

so you get 3 sides for the length  13+10+13=36 * 5 2/3width =204

then add the 2 triangles surface

1/3 * 10base  * 12height * 2 =80

total 284

Answer:

Gross salary =G

Number of worked hours =x

Dollar per hour =$12

substitute the given data into the gross salary formula and simplify.

Gross salary = (number of worked hours)

G =(x) (12)

G =12x

Therefore, G(x) =12x

Hence the function is G(x) = 12x

The quotient and remainder, when written as partial fractions, of 8x²³-21²-67x-24 is represented by 2x²-x-21.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

Which expression represents the correct form for the quotient and remainder?

(8x³-21²-67x-24) = (2x²-x-21) + (6x¹-42)

This is done by dividing 8x²³-21²-67x-24 by 2x² and using long division to find the remainder.

The result of the division is a quotient of 4x²-33x+12 and a remainder of 2x²-x-21.

The remainder is the expression which represents the quotient and remainder, written as partial fractions, of 8x²³-21²-67x-24.

To illustrate this further, we can break down the long division process into steps. First, divide 2x² into 8x²³.

The result is 4x².

Then, subtract 4x² from 8x²³ to get the remainder of 4x³.

Next, divide 4x² into 21².

The result is 33x.

Then, subtract 33x from 4x³ to get the remainder of 4x²-33x.

Finally, divide 4x²-33x into 67x.

The result is 12. Subtract 12 from 4x²-33x to get the remainder of 2x²-x-21.

This remainder is the expression which represents the quotient and remainder, written as partial fractions, of 8x²³-21²-67x-24.

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The optimum sampling strategy is (iii), which is listed below.

By selecting a student's initial name from each page of the cam pus phone book, you may measure the heights of the chosen pupils.

Sampling is a technique for selecting a small group of people or a subset of the population in order to make generalizations and estimate the features of the population. In order to acquire relevant information without studying the entire society, researchers commonly use a variety of sampling approaches in market research.

To ascertain the average height of all students at a certain institution and guarantee that the result is statistically reliable, the sampling process must be applied.

a. Measure the heights of 50 students found in the gym during basketball intramurals.

This approach is not ideal since you would only sample basketball players while leaving all other university students out; hence, your sample would not be representative of all students, simply those who play basketball.

b. Measure the heights of all engineering majors.

This approach is flawed since the sample exclusively includes engineering majors, leaving out students studying other courses.

c. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.

This strategy, which is the finest of the three, allows you to select students independent of the sport or subject they are pursuing. It is more representative of the university student population.

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Answer:

Step-by-step explanation:

9/12 + 10/12

The function designates an area in the X-Y plane where its value is 1/2 and an area where it is 0. By applying the formula |X| + |Y| = 1, the line separating these two regions is defined as equation.

When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.

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The complete question is: Let f(x)={1/2} = 0 and |X| + |Y| < 1, find the value of x.

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

21 miles per hour

Step-by-step explanation:

2x(5x + 1) / (4x - 1) is the final expression.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(4x³ - 12x²) / (4x² + 7x - 2) / (2x² - 6x) / (5x² + 11x + 2)

= (4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)

Now,

(4x³ - 12x²) = 4x² (x - 3) _____(1)

And,

(5x² + 11x + 2)

Middle term factorizing

= 5x² + (10 + 1)x + 2

= 5x² + 10x + x + 2

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

= (x + 2) (5x + 1) ______(2)

And,

(4x² + 7x - 2)

Middle term factorizing

= 4x² + (8 - 1)x - 2

= 4x² + 8x - x - 2

= 4x(x + 2) - 1(x + 2)

= (4x - 1) (x + 2) ______(3)

And,

(2x² - 6x) = 2x (x - 3) ______(4)

From (1), (2), (3), and (4) we get,

(4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)

= [ 4x² (x - 3) x (x + 2) (5x + 1) ] / [ (4x - 1) (x + 2) x 2x(x - 3) ]

(x + 2) and (x - 3) gets canceled.

= [4x² (5x + 1)] / [(4x - 1) 2x]

= 2x(5x + 1) / (4x - 1)

Thus,

2x(5x + 1) / (4x - 1)

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For each of North Asia's 26 million citizens, a single ICBM missile launch represents an opportunity cost of 0.19 tons of grain.

A cost is the value of money that was used on the creation of goods or the provision of a service and is now unavailable for use in producing, investigation, retail, & accounting. While calculating a purchase cost, the sum of both the acquisition's costs is taken into account.

One ICBM rocket launch costs $1.3 billion.

5 million metric tons of grain may be bought with this amount.

North Korea has 26 million people.

Consider a scenario in which the government uses the funds to buy metric ton of maize instead of launching an ICBM missile.

Corn purchased/population (5 million/26 million) = 0.19 tons/per person received.

Hence, 0.19 tons of grain will be distributed to every citizen in the nation.

So, for each of North Singapore's 26 million inhabitants, the potential price of one ICBM launch attempt throughout terms of maize is 0.19 tonnes of corn.

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The complete question is-

North korea’s rockest deepen food crisis:

North Korea has spent a lot money on its nuclear and rocket programs. A single launch of ICBM missile costs around $1.3 billion. Since taking power in 2011, Kim jong-un authorized over 20 rocket launches, including ICBMs, beginning in January 2017. Those launches came at a great cost to the Korean people. The cost of just one ICBM launch could have been used to purchase 5 million tons of corn, for example. That would have been if enormous benefit to the Korean people, who have suffered decades of widespread poverty and periodic starvation.

According to the news wire, what is the opportunity cost of a single icbm rocket launch in terms of corn for each of North Korea’s 26 million people ?

( ) ton(s) of corn per person

The p-value for the two-tailed test is 2 mincdf(x), 1 - cdf (x) because a study team believes that less than 48% of Americans are affected.

A type of data hypothesis known as both a null hypothesis claims that a certain collection of data has no statistically significant results. The viability of hypotheses be evaluated using sample. Sometimes refers to as "zero," and symbolized as H0. The premise made by the researchers is that there is a correlation between the variables. The h0, on the other hand, says that such an association doesn't quite exist. Despite its inability to seem significant, the null hypothesis is a crucial component of a study.

given

Calculating the p-value requires knowledge of the distribution of your test statistic under the assumption that the null hypothesis is true.

Cdf as the p-value for the left-tailed test (x).

Right-tail test: p-value = 1 - cdf (x).

The two-tailed test's p-value is 2 mincdf(x), 1 - cdf (x).

The p-value for the two-tailed test is 2 mincdf(x), 1 - cdf (x) because a study team believes that less than 48% of Americans are affected.

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Taking the quotient between the total distance and the gallons consumed we can see that:

Mpg = 37 miles per gallon.

It is just given by the quotient between the number of miles traveled and the number of gallons used.

We know that at the start the odometer reads 69247 miles and at the end the odometer reads 69765 miles, taking the difference we can see that the total distance traveled is:

69765 mi - 69247 mi = 518 mi

And you consumed 14 gallons of gas, then the miles per gallon is:

Mpg = 518mi/14 gal = 37 miles per gallon.

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The value of the side lengths x and y are 29.4 units and 17 units

From the information given, we have that;

Using the cosine identity'

sin 30 = y/34

find the value

0. 5000 (34) = y

Multiply

y = 17 units

Using the cosine identity

cos 30 = x/34

multiply

x = 34(0.8660)

x = 29. 4 units

Hence, the values are  17 units and 29. 4 units

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Answer:

52

Step-by-step explanation:

my boy its 52 she said times it means multiply

Answer: Final Balance is $11,591.87 and the total compound interest is $1,731.87.

Step-by-step explanation:

Answer:

The two angles are 32 degrees and 48 degrees.

Step-by-step explanation:

If one angle of a triangle is 100 degrees, then the sum of the other two angles is 80 degrees (180 - 100). If the magnitude of the other two angles is in the ratio 2:3, then we can call the first angle 2x and the second angle 3x. The sum of these two angles is 5x, so 5x = 80, and x = 16. So, the two angles are 2x = 32 degrees and 3x = 48 degrees.

The Point-Slope equation is Z = 15X - 19Y + 204.

What is the slope-point form?

The slope-point form of a line in 3-dimensional space is a equation of the form:

Z = m_x (X - X_0) + m_y (Y - Y_0) + Z_0

where (X_0, Y_0, Z_0) is a point on the line, m_x is the x-slope, and m_y is the y-slope.

Given:

point (2, -12, 4) and x-slope 15 and y-slope -19, we can use the point-slope form to find the equation of the plane:

Z = 15 (X - 2) - 19 (Y + 12) + 4

Hence, the point-slope equation of the plane passing through the point (2, -12, 4) and having x-slope 15 and y-slope -19 is:

Z = 15X - 30 - 19Y + 228 + 4

Z = 15X - 19Y + 204

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