Does the parabola open up or down? Is the y-coordinate of the vertex a minimum value or a maximum value?
f(x) = 5x^2-x

Answer:

              v = 2,325,457

Step-by-step explanation:

f×v= 13,573,692,509

5837×v= 13,573,692,509

v =  13,573,692,509÷5837

v = 2,325,457

\({}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }\)

           \({}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0\)

The equation that represents the total number of jars of tomato sauce remaining will be y = - 0.25x + 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At an eatery containers of pureed tomatoes are put away in an enclosed storage space. Each case contains 8 containers of pureed tomatoes. A cook utilizes 2 containers from 1 of the crates.

Let 'x' be the number of boxes and 'y' be the tomato sauce remaining in the pantry. Then the equation is given as,

y = - (2 / 8)x + 1

y = - 0.25x + 1

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The altitude of the right triangle is as follows:

BD = √330 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

ΔABC is a right angle triangle with altitude BD drawn to the hypotenuse AC. Therefore,

AD = 15 units

DC = 22 units

The length of BD in the simplest form can be found as follows:

Using similar triangle,

Hence,

let

BD = x

15 / x = x / 22

cross multiply

x² = 22 × 15

x² = 330

x = √330

Therefore,

BD = √330 units

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The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

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Answer:

Step-by-step explanation:

There are 150 new employees in the sample space. There are 30 new employees in each event. P(C)= 1/5, is the probability that you choose new employees that has been assigned to the orientation group C.

There are 150 new employees in the sample space. There are 30 new employees in each event. P(C)= 1/5, is the probability that you choose new employees that have been assigned to the orientation group C.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The probability = number of favorable outcomes /  total number of outcomes.

According to the given situation, the required solution would be as:

Here n(S) = 150, and n (E) = 30

There are 150 new employees in the sample space i.e n(S) = 150

There are 30 new employees in each event i.e. n (E) = 30

The probability that you choose new employees that have been assigned to the orientation group C will be :

P(C) = n (E) /n(S)

P(C) = 30/150

P(C) = 1/5

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To calculate the time it will take for the antibiotic to infuse, we can divide the volume of the antibiotic (135 mL) by the flow rate (2 mL/min). The time is approximately 68 minutes.

Time = Volume / Flow rate

Time = 135 mL / 2 mL/min

Performing the calculation:

Time = 67.5 min

Rounding to the nearest whole number, it will take approximately 68 minutes for the antibiotic to infuse.

The flow rate represents the rate at which the antibiotic is administered intravenously (IV) in milliliters per minute (mL/min). By dividing the total volume of the antibiotic by the flow rate, we can determine the time it will take for the entire volume to infuse.

In this case, the volume is 135 mL, and the flow rate is 2 mL/min. Dividing 135 mL by 2 mL/min gives us 67.5 minutes. Since we are rounding to the nearest whole number, the answer is approximately 68 minutes.

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Answer:

The answer should be B.

Step-by-step explanation:

tell me if im wrong.

Answer:

The second one

Have a wonderful day!

Answer:

90:30 is the answer

only if we use over 2

(1011000)2 = (130)8

Step by step solution

Step 1: Write down the binary number

(001011000)2

Group all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three.

001 011 000

Step 2: Use the table above to convert each set of three into an octal digit. In this case,

001=1, 011=3, 000=0.

So, the number 130 is the octal equivalent to 1011000 in binary.

Step-by-step explanation:

If the firm is facing the threat of trade barriers such as high import tariffs or quotas and the firm has proprietary technology, the firm should consider:.If the firm is facing the threat of trade barriers such as high import tariffs or quotas and the firm has proprietary technology, the firm should consider:.

On solving the provided question, we can say that The maximum rank of a matrix is 2 and The maximum rank is min (5,2)=2.

A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.

The maximum rank of a matrix is 2.

The maximum rank is min (5,2)=2.

Option c with the biggest rank is min(m,n).

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The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.

The amplitude of the canonical function is determined by the Pythagorean theorem:

A' = √(2² + 5²)

A' = √ 29

The angular frequency C  is the constant within the trigonometric functions from the non-canonical formula:

C = 4π

Then, we find the initial position of the weight in time: (t = 0)

y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)

y(0) = 5

And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)

5 = √ 29 · sin (4π · 0 + D)

5 / √ 29 = sin D

D ≈ 0.379π rad

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

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Answer:

Step-by-step explanation:

Answer:

The answer would be

f(x)= x^2-8x+17

Step-by-step explanation:

To determine the total amount in a percentage problem when given the percentage rate and the part of the total amount, you need to divide the part by the percentage rate and multiply the result by 100.

To find the total amount when you know the percentage rate and the part of the total amount, you can use the following formula:

Total Amount = (Part of Total Amount) / (Percentage Rate)

Let's break it down step by step:

1.Identify the given values:

Part of Total Amount: This represents the portion or fraction of the total amount that you know. Let's say it's denoted by P.

Percentage Rate: This is the rate or proportion expressed as a percentage. For example, if the rate is 20%, it would be written as 0.20 or 20/100.

2.Plug the values into the formula:

Total Amount = P / (Percentage Rate)

3.Calculate the total amount:

Simply divide the given part of the total amount by the percentage rate to find the total amount.

For example, let's say you know that the part of the total amount is $500 and the percentage rate is 25%. You can calculate the total amount as follows:

Total Amount = $500 / 0.25 = $2000

Therefore, the total amount would be $2000 in this case.

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If a rectangle whose length is 10 centimeter more than its width, then the width of the rectangle is x centimeter and the length of the rectangle is 10+x centimeters

The width of the rectangle = x centimeter

The length is 10 centimeter more than its width

Then the length of the rectangle = 10 + The width of the rectangle

Substitute the value of the width of the rectangle in the equation

The length of the rectangle = 10+x centimeter

Hence, if a rectangle whose length is 10 centimeter more than its width, then the width of the rectangle is x centimeter and the length of the rectangle is 10+x centimeters

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Answer:

4

Step-by-step explanation:

Answer:

The answer is:473.39

Step-by-step explanation:

Answer:

Net Price: $ 444.50

+ Sales Tax (6.5%): $ 28.89

Total Price: $ 473.39

That’s all I did to get the answer

The distance is 441.95 feet.

The Green Monster is the wall in left field in Boston's Fenway Park. It is 315 feet from home plate down the left field line.

The distance from home plate to the Green Monster is the hypotenuse of a right triangle with legs of 315 feet (the distance down the left field line) and 310 feet (the distance to the base of the wall).

Using the Pythagorean Theorem (a² + b² = c²), we can find the distance from the home plate to the Green Monster:

315² + 310² = c²

99225 + 96100 = c²

191325 = c²

c= √191325 ≈ 441.95

Therefore, the distance from the home plate to the Green Monster is approximately 441.95 feet.

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SteSteAnswerAnswer:

x = 3/4 and -2

Step-by-step explanation:

If x²+ 5/4x = 3/2, x²+ 5/4x - 3/2 = 0

Multiply by 4 to get 4x²+ 5x - 6 = 0

Factor it to get (4x - 3)(x + 2) = 0

anything times 0 = 0, so x = 3/4 and -2

The binomial probability formula calculates the probability of obtaining a specific number of successes in a fixed number of independent trials, each with the same probability of success

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, each with the same probability of success.

The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:

P(X=k) is the probability of obtaining k successes

n is the total number of trials

p is the probability of success in each trial

(n choose k) represents the number of ways to choose k successes from n trials, and is calculated as n! / (k! * (n-k)!)

Therefore, the uses of binomial probability formula has been explained

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The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.

The binomial probability formula is used to calculate the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials. In other words, it helps us determine the likelihood of achieving a certain outcome in a series of experiments, where each experiment can result in one of two possible outcomes (success or failure).
The formula is given by P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where P(X=k) represents the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in a single trial, and (n choose k) is the binomial coefficient.
For example, let's say you flip a fair coin 10 times and want to know the probability of getting exactly 7 heads. In this case, n = 10 (number of trials), k = 7 (number of successes), and p = 0.5 (probability of heads). Plugging these values into the binomial probability formula will give you the desired probability.
The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.

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The ant is located (4, 11, 3) yards, feet, and inches north of the starting point. To determine the final position of the ant, we need to add the distances traveled north and south separately.

First, let's calculate the distance traveled north. The ant traveled 6 yards, 1 foot, and 9 inches north, which can be represented as (6, 1, 9) yards, feet, and inches.

Next, we calculate the distance traveled south. The ant traveled 2 yards, 2 feet, and 10 inches south, which can be represented as (-2, -2, -10) yards, feet, and inches (since it's traveling in the opposite direction).

To find the final position, we add the distances traveled north and south:

(6, 1, 9) + (-2, -2, -10) = (4, -1, -1)

Since the ant is traveling north, we discard the negative sign and adjust the negative values:

(4, -1, -1) = (4, -1 + 3, -1 + 12) = (4, 2, 11)

Therefore, the ant is located (4, 2, 11) yards, feet, and inches north of the starting point.

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Answer:

9/

Step-by-step explanation:

As we have to multiply the fraction so we will multiply numerator with numerator and denominator with denominator we get 45/70. As we know both 45 and 70 are divisible by 5 and the simplest form answer we get will be 9/ 14

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

Step-by-step explanation:

Answer:

your answer would be 6

Step-by-step explanation:

(3)4-6

12-6

6

Answer:

I think it would be 18

Step-by-step explanation:

3 x 4 =12

12 + 12= 24

24 -6=18

Answer: k=m-7/4

Step-by-step explanation:

m-7=4k

m-7/4=k

k=m-7/4

The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3)

An expressiοn in mathematics is made up οf different numbers, variables, and mathematical prοcesses, such as expοnents, lοgarithms, trigοnοmetric functiοns, and arithmetic. It can symbοlise a number οr a fοrmula, but it lacks an equals sign (=) and cannοt be evaluated οr sοlved withοut being cοmbined οr simplified. Expressiοns can be straightfοrward, like 3x + 4, οr they can be cοmplicated, like (2x - 1)/(x + 3).

given:

(a) We must multiply each term in the first expressiοn by each term in the secοnd expressiοn befοre cοmbining like terms tο determine the prοduct οf (-3x³ + 2x - 5) and (2x4 - 4x² - 3). The distributive principle allοws us tο write:

= (-3x³ + 2x - 5) * (2x⁴ - 4x² - 3) * (3x³ + 2x - 5) * = 3x³ * 2x⁴ + (-3x³) * (-4x²)  * (-3)

= 2x * 2x⁴  + 2x * (-4x²) + 2x * (-3)

= -6x⁷ + 12x⁵ + 9x³ + 4x⁵ - 8x³ - 6x - 10x⁴  + 20x² + 15 = 5 * 2x⁴  - 5 * (-4x²) - 5 * (-3)

The result οf the οperatiοns (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is as fοllοws: -6x⁷ + 10x⁴  + 16x⁵ - 17x³ - 6x + 15

(b) The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3). Due tο the fact that multiplicatiοn is cοmmutative, changing the οrder οf the variables has nο effect οn the οutcοme οf the prοduct. Cοnsequently, we can write:

(2x⁴  - 4x² - 3) * (-3x³ + 2x - 5) = (-3x³ + 2x - 5) * (2x⁴  - 4x² - 3)

The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3)

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Yes, there are multiple fractions that we could use to estimate 27% of 200.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split.

27% of 200 = 0.27 × 200 = 54

Now, we can find fractions that are close to 0.27 and use them to estimate 27% of 200. For example:

1/4 = 0.25, which is close to 0.27. So we can estimate 27% of 200 as 1/4 of 200:

27% of 200 ≈ (1/4) × 200 = 50

3/11 = 0.2727..., which is also close to 0.27. So we can estimate 27% of 200 as 3/11 of 200:

27% of 200 ≈ (3/11) × 200 ≈ 54.55...

As we can see, both of these fractions give us estimates that are close to the actual value of 27% of 200.

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The distance between the lower whisker and the minimum value and the distance between the upper whisker and the maximum value indicate the range of the leg lengths of the insects in millimeters.

A box plot, also known as a box-and-whisker plot, is a graphical representation of a dataset that displays the distribution of a continuous variable. It shows the minimum and maximum values, the first and third quartiles, and the median of the data. The length of the box in a box plot represents the interquartile range (IQR), which is the range between the first and third quartiles. The whiskers extend from the box to show the range of the data, excluding outliers.
In the context of the question, the box plot displays the leg lengths, in millimeters, of a sample of insects. To determine the range of lengths of the insects, we need to examine the whiskers of the box plot. The whiskers extend from the box to the minimum and maximum values of the dataset, and their length represents the range of the data.
Therefore, to answer the question, we need to look at the length of the whiskers in the box plot.
In conclusion, the range of lengths of the insects can be determined by looking at the length of the whiskers in the box plot. The answer will depend on the specific values displayed in the plot.

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