The equation of a parabola is given. y=−5/8x^2−3x+4 What is the equation of the directrix of the parabola? Enter your answer in the box.

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

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Answer:

37%

Step-by-step explanation:

37/100

Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

Answer:

it might be D................

Answer: $8.70 i think

Step-by-step explanation:

Answer:

$2.7

Step-by-step explanation:

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

Answer:

Incorrect

Step-by-step explanation:

When you subtract a negative number it changes it to adding a positive number according to math rules.

6 - (-8) -> 6 + 8

Best of Luck!

Answer:

if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.

Step-by-step explanation:

If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).

Answer:

f(3) = -11, f(-7) = 19

Step-by-step explanation:

f(x) = -3x -2

1.

f(3) is the f(x) when x = 3 so where we see x in the equation we write 3 and calculate

f(3) = -3(3) -2 = -9 -2 = -11

2.

f(-7)  = f( x= -7) = -3(-7) -2 = 21 -2 = 19

Answer: 1) f(3)= -11 and 2) f(-7)= 19

Step-by-step explanation: f(x) means 'function of x' or just to replace x with the desired value. For example, f(3) just means x=3. Following below is written proof.

Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.

If Carla Corporation issued 1,900 shares of $10 par value common stock in exchange for the conversion of 950 shares of $50 convertible preferred stock, we can calculate the impact on the financial statements as follows:

Calculation of the Total Par Value of the Common Stock Issued:

The total par value of the common stock issued is equal to the number of shares issued multiplied by the par value per share. In this case, 1,900 shares were issued with a par value of $10 per share, so the total par value of the common stock issued is:

Total Par Value = 1,900 shares x $10/share = $19,000

Calculation of the Conversion Ratio:

The conversion ratio is the number of shares of common stock that can be obtained from one share of preferred stock. In this case, 950 shares of $50 convertible preferred stock were converted into 1,900 shares of common stock, so the conversion ratio is:

Conversion Ratio = 1,900 shares / 950 shares = 2:1

This means that for every share of preferred stock, the holder can receive two shares of common stock.

Calculation of the Value of the Preferred Stock Converted:

To determine the value of the preferred stock that was converted, we need to multiply the number of shares converted by the conversion price. The conversion price is the price at which the preferred stock can be converted into common stock. In this case, the conversion price is not given, so it is not possible to calculate the value of the preferred stock converted.

Impact on the Financial Statements:

The issuance of the 1,900 shares of common stock will increase the equity section of the balance sheet. The total par value of the common stock issued ($19,000) will be recorded as an increase in the common stock account, which is a component of the stockholders' equity section of the balance sheet.

If the preferred stock had any accumulated dividends or other preferences, these would need to be taken into account in the conversion process. Additionally, any difference between the fair value of the preferred stock and the par value of the common stock issued would need to be recorded as an adjustment to the additional paid-in capital account.

Without more information about the conversion price and any other terms of the conversion, it is not possible to provide a more specific analysis of the impact on the financial statements of Carla Corporation.

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Answer:

....................

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

135°

Step-by-step explanation:

the number of degrees in a circle is 360°

there are 8 divisions on the dial so each division is

360° ÷ 8 = 45°

there are 3 divisions between  Off and Medium - low , then

number of degrees rotated = 3 × 45° = 135°

Range of the value of the game played:To get the range of the value of the game played, we have to find the minimum and maximum possible scores. Minimum score of the game: The minimum score is when both teams play their strongest defense strategy.

For Letran, their strongest defense strategy is the Man-to-man defense and for Mapua, their strongest defense strategy is the Half-court Press defense.Using these defense strategies, Letran can get a score of 45 and Mapua can get a score of 30.Thus, the minimum possible score is 45 + 30 = 75.Maximum score of the game: The maximum score is when both teams play their weakest defense strategy.

For Letran, their weakest defense strategy is the Press defense and for Mapua, their weakest defense strategy is the Man-to-man defense.Using these defense strategies, Letran can get a score of 55 and Mapua can get a score of 40.Thus, the maximum possible score is 55 + 40 = 95.Therefore, the range of the value of the game played is 75 to 95.b) To find the defense strategy in which Letran is weak, we have to see which defense strategy allows Mapua to get the highest score.

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Answer:

16/9

Step-by-step explanation:

16/9=1.77777777778

(3/4)^-2=1.77777777778

We have to:

0. Draw 3 parallel lines.

1. Draw 2 transversal non-parallel lines

2. Mark the points of intersection between the transversal lines and the parallel lines.

We can start with the parallel lines:

We cann see that parallel lines never intersect.

Then, we draw two non-parallel transversal lines:

We will have 2*3 = 6 intersection points that we can mark:

Report on Commonalities Among Three Chosen Regions

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.

Answer:

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.

Answer:

a_48000cm^3

b_48000000mm^3

Step-by-step explanation:

first of all, let's find the base area:

Ab=((b+B)h)/2=((10cm+30cm)20cm)/2=400cm^2

then, to find the volume, we need to multiplicate the base area to the height of the prism:

V=Ab*H=400cm^2*120cm=48000cm^3=48000000mm^3

Answer:

0.125

Step-by-step explanation:

For a fair coin, H and T is the same probability. To get zero tails, we need to toss a head, then a head, and again a head - each time we succeed with probability of 0.5, so succeeding 3 times happens 0.5^3 of the time = 0.125

Alternatively, look at all the options:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Only one option has no tails, and because the coin is fair, each option is equally probable, so the probability of HHH is 1/8 = 0.125

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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Answer:

1.37 × 10⁴ feet

Step-by-step explanation:

Standard form is a way or method used in mathematics to write very large or very small numbers in a compact form by raising them to the power of 10 (exponents)

She read that the Grand Teton in Wyoming is about 1.37 × 10⁴ feet high.

The standard form of writing this height = 1.37 × 10⁴ feet.

Answer:

the short answer would be A

Step-by-step explanation:

The equation \((x-9)^2 + (y + 9^2 + (z + 1)^2 = 64\) represents a ball with a center at (9, -9, -1) and a radius of 8. Therefore, correct option is B.

To find the equation or inequality that describes the given object, we need to consider the equation of a sphere in three-dimensional space. The general equation of a sphere with center (a, b, c) and radius r is:

\((x - a)^2 + (y - b)^2 + (z - c)^2 = r^2\)

In this case, the center of the ball is given as (9, -9, -1), and the radius is 8. Plugging these values into the equation, we have:

\((x - 9)^2 + (y + 9)^2 + (z + 1)^2 = 8^2\)

Simplifying the equation gives:

\((x - 9)^2 + (y + 9)^2 + (z + 1)^2 = 64\)

Therefore, the correct equation that describes the ball is B.

\((x-9)^2 + (y + 9)^2 + (z + 1)^2 = 64.\)

This equation can be used to determine if a given point lies inside or outside the ball. By substituting the coordinates of a point into the equation, we can compare the value to the radius squared (64) to determine the position of the point relative to the ball.

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The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.

This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.

Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.

Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

dα/dt  =  - 0,25  rad/sec

Step-by-step explanation:

The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α  will be the angle between the ladder and the ground, then:

cos α  = distance between the wall and the down end of the ladder (x)  /  length of the ladder

cos α   =  x/ L

- sin α * dα/dt   =  dx/dt * L /L²

- sin α * dα/dt   =  dx/dt /L

When   the down end of the ladder is 8 ft apart from the wall

cos  α   =  8 / 10   =  0,8  then    cos² α  +  sin²α  = 1

sin² α  =  1 - cos²α        sin²α =  1 - (0.8)²    sin²α  = 0.36

sin α  = 0.6

dα/dt  =  ?

dx/ dt  =  3/2

L  = 10 ft

x  =  8 ft

By substitution

- 0.6*dα / dt   = (3/2) / 10

dα/dt  =  -  1.5 / 6

dα/dt  =  - 0,25  rad/sec

(-) means the angle is decreasing

Answer:

-.05 away from .75 and .2 away from .5

Hi!

We can see the river is a straight line.

This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.

Therefore:

\(x+2x+21=180\)

Combine like terms:

\(3x+21=180\)

Subtract 21 from both sides:

\(3x=159\)

Divide both sides by 3:

\(x=53\)

Therefore, the value of x is 53 degrees.

The given system of equations is expressed as

- 4x - 6y = -48

y = - 2x

To solve by sustitution, we would substitute y = - 2x into the first equation. It becomes

- 4x - 6(- 2x) = -48

- 4x + 12x = - 48

8x = - 48

x = - 48/8

x = - 6

Substituting x = 6 into y = - 2x, it becomes

y = - 2*-6

y = 12

The solution is (- 6, 12)