If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t^2 + 6t + 4. Round your answer to the nearest hundredth.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x+1/2=21/14

x = ?

Step 02:

14 (x + 1 ) = 2 * 21

14x + 14 = 42

14x = 42 - 14

x = 28 / 14

x = 2

The answer is:

The value of x is 2

The width of the counter is 3 meters or 9/3 meters as a fraction considering the condition that its value in meters is a number such that its power squared added to its power to the fourth will give 90.

Let's represent the width of the counter in meters as "x". As per the given condition, we can form the equation:

x² + \(x^4\) = 90

Simplifying the equation, we get:

\(x^4\) + x² - 90 = 0

Now, we can factor the equation as:

(x² - 9)(x² + 10) = 0

So, the possible values of "x" are:

x² = 9 or x² = -10

Since the width of the counter cannot be negative, we can ignore the second solution. Therefore, we have:

x² = 9

x = ±√9

x = ±3

Since the width of the counter cannot be negative, the only possible solution is:

x = 3

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The question is -

In the entrance hall, there is a counter for the sale of tickets, the chief architect will ask one of your assistants to determine how wide it is with the following conditions: its value in meters is a number such that its power squared added to its power to the fourth will give 90. Does the counter have to measure the width?

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

mx+b

Step-by-step explanation:

did the test

Answer:

\(\frac{5a^4b^5}{9}\)

Step-by-step explanation:

\(\frac{15a^1^6b^1^1}{(3a^4b^2)^3}\)

\(=\frac{15a^1^6b^1^1}{27a^1^2b^6}\)

\(=\frac{15a^4b^5}{27}\)

\(=\frac{5a^4b^5}{9}\)

Answer = \(=\frac{5a^4b^5}{9}\)  

Answer:

-4

Step-by-step explanation:

2 - 4 = -2

-2 multiplied by 2 is -4

Hope I helped :)

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The correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It is written as ax² + bx + c = 0, with x being the unknown variable and a, b, and c being the constant terms.

The limit of φ(x) as x tends to negative infinity depends on the behavior of the solution φ(x) to the given initial value problem.

To determine the behavior of the solution, we can consider the characteristic equation associated with the differential equation:

r² + 22r + 146 = 0

Solving this quadratic equation, we find that the roots are complex conjugates:

r = -11 + 5i and r = -11 - 5i

Since the roots are complex, the solution will involve complex exponential functions. The real part of the complex exponential will decay as x tends to negative infinity. Therefore, the limit of φ(x) as x tends to negative infinity is 0.

So, the correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

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Natural systems involve many variables with complex interactions.

Natural systems refer to the complex and interconnected systems found in nature, such as ecosystems, climate systems, biological organisms, and geological processes. These systems involve numerous variables, which are factors or elements that can influence or be influenced by the system.

In natural systems, multiple variables interact with each other in intricate ways. These interactions can be direct or indirect, linear or nonlinear, and can occur across different spatial and temporal scales. The behavior and outcomes of natural systems are often emergent properties resulting from the interactions among these variables.

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Natural systems, particularly biological systems, involve many variables with complex interactions. These interactions among various components of the system result in complex behaviors and properties. Despite the complexity, these systems can be understood through scientific studies.

Natural systems such as biological systems involve many variables with complex interactions. An example can be seen in ecosystems, where the interactions among various species and their environment result in complex and diverse outcomes. It's important to understand that all biological systems, from cells and organisms to populations, communities, and ecosystems are affected by intricate biotic and abiotic interactions. These interactions involve exchange of matter and free energy, often leading to complex properties.

Despite the complexity, these systems and their interactions can be studied through a combination of theoretical predictions and experimental studies. With a vast multitude of variables, the behavior of a biological system might not always adhere to many scientific hypotheses or provide absolute proof, however, they provide a valid approach to understand the structure, function, and dynamics of an ecosystem.

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Answer:

Function

Step-by-step explanation:

Passes vertical line test

Reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

From the question, we have the following parameters that can be used in our computation:

Triangles ABC and A"B"C"

Also, we have the figure

From the figure we can see that

Translation would not map the triangles

Of all the other transformations, a reflection over the line y = x - 5 may map the triangles

This means that reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

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Answer:

A) 0.58

B)  58/100

Step-by-step explanation:

Can i have brainliest if its right :)

When rounding off the measurement with the correct rounding, the center value with uncertainty format can be used. The measurement can be represented as: -22.9 g ±0.5 g.

In order to round off the measurement with correct rounding, the following steps can be followed:

Identify the digit to be rounded off. In the given measurements, the digit in the hundredth place (8 in 0.415g and 4 in 0.48g) needs to be rounded off.

Determine whether to round up or down. The rule of rounding is to round up if the digit to be removed is greater than or equal to 5, and round down if it is less than 5. The digit 8 in 0.415g is greater than 5, therefore it needs to be rounded up, while the digit 4 in 0.48g is less than 5, therefore it needs to be rounded down.

Round off the digit. If the digit is rounded up, add 1 to the digit in the place value to the left of the rounded digit. If the digit is rounded down, leave the digit in the place value to the left of the rounded digit as it is. The rounded value of 0.415g is 0.42g, and the rounded value of 0.48g is 0.5g.

Write the measurement in center value with uncertainty format. The center value with uncertainty format can be represented as:

Measurement = center value ± uncertainty

The center value is the rounded value of the measurement. The uncertainty is the difference between the center value and the nearest value on either side of it. In this case, the nearest value is the unrounded measurement. Therefore, the measurement can be represented as:-22.9 g ±0.5 g

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To bring the average up to 90%, you would need to get a score of 96% in 7 consecutive tests.

The first four tests have an average of 84% and the student is looking to achieve a 90% average by scoring 96% on the remaining tests. Let the number of remaining tests be x.

Then, we can set up the equation as:(84*4 + 96x)/ (4 + x) = 90

Simplifying this equation, we get:336 + 96x = 360 + 90x

Solving for x, we get:x = 6

This means there are 6 remaining tests.

To find out how many consecutive 96% scores are needed to bring the average up to 90%, we can set up the equation as:(84*4 + 96*6)/ 10 = 90

This simplifies to:744/10 = 90

Multiplying both sides by 10, we get:744 = 900

To find the number of consecutive 96% scores, we can use the following equation: (84*4 + 96x)/ (4 + x) = 90, where x is the number of consecutive tests.

Substituting the values, we get:(84*4 + 96x)/ (4 + x) = 90

Solving for x, we get:x = 7

Hence, the number of consecutive 96% scores required to bring the average up to 90% is 7.

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Answer:

2nd chioce

Step-by-step explanation:

Answer:

8000 feet i think so yeah

Answer:

y ≤ 11

Step-by-step explanation:

7y ≤ 33 + 4y

3y ≤ 33

y ≤ 11

So, the answer is y ≤ 11

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

Answer: x = 29; RZ = 60, SW = 120

Step-by-step explanation:

If you look at the lines, RZ is half the value of SW. Knowing this, we can set up an equation like this:

2(RZ) = SW

2(2x+2) = 5x-25

By plugging in the values for RZ and SW, we can set them equal to each other and find x.

2(2x+2) = 5x-25

4x+4 = 5x-25

4 = x-25

x = 29

I think you only needed the variable, but I can provide the measures of the line, just in case:

RZ = 2x+2 ; 2(29)+2 = 60

SW = 5x-25 ; 5(29)-25 = 120

Since RZ is half of SW, we can tell we correctly determined x. Hope this helps!

The values of a and b in the exponential function f(x) = \(ab^x\) can be found by using the two given points and solving a system of two equation.

To find the values of a and b in the exponential function f(x) = \(ab^x\) given that it passes through the points (0, 11) and (3, 1375), we can use the supplied positions where a and b must be solved.

Let's start with the point (0, 11). Plugging x = 0 and y = 11 into the equation, we have:

11 = \(a * b^0\)

Since \(b^0\) = 1 for any value of b, we have:

11 = a * 1

So a = 11.

Next, let's use the point (3, 1375) to find b. Plugging x = 3 and y = 1375 into the equation, we have:

1375 = \(11 * b^3\)

Dividing both sides of the equation by 11, we have:

125 = \(b^3\)

By combining the cube roots of the two sides, we obtain:

b = 5

So the values of a and b are a = 11 and b = 5. The exponential function that passes through the points (0, 11) and (3, 1375) is f(x) = \(11 * 5^x\).

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The complete question is:

an exponential function f(x) = \(ab^x\) passes through the points (0, 11) and (3, 1375). Find the values of a and b?

The smallest possible whole-number length for the third side is 12

Following the Pythagorean theorem which states that the hypotenuse square is equal to the sum of the squares of the other two sides in a triangle.

This is represented as;

a² = b² + c²

Given that;

From the information given, we have that;

14² = 6² + c²

Find the square values

196 = 36 + c²

collect like terms

c² = 196 - 36

subtract the values

c² = 160

Find the square root of both sides

c = √160

c = 12. 65

Thus, the value is 12

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The percentage change in the number of voters who approved of the senators performance would be = 8.9%

The percent change of a number is defined as the expression that shows if a number is increased or decreased when compared with its original value and multiplied by 100.

q

The number of voter per poll = 1000

The number of individuals that approved of senator last year = 513

The number of individuals that approved of senator this year = 429.

The difference between the two years = 513-429 = 84

The total people that approved = 942

The percentage difference = 84/942 ×100/1

= 8400/942

= 8.9%

This shows that there is an 8.9% decrease in the number of individuals that approved of the senators performance this year than last year.

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The real numbers with decimal representations consisting of all 1s are non-existent.

To determine if a real number with a decimal representation consisting of all 1s exists, we can examine the nature of such a number. Let's assume there is a number "x" that fits this criteria. Its decimal representation would be 1.1111..., where the digit 1 repeats indefinitely.

We can attempt to find the value of this number by performing a calculation:

x = 1.1111...

10x = 11.1111...

Now, if we subtract the equation for x from 10x, we can eliminate the repeating decimal:

10x - x = 11.1111... - 1.1111...

9x = 10

x = 10/9

Thus, we find that the value of x is 10/9. However, the number 10/9 does not have a decimal representation consisting of all 1s. Its decimal representation is a repeating decimal, where the digit 1 repeats indefinitely: 1.1111....

After careful examination and calculation, we can conclude that there are no real numbers with decimal representations consisting solely of 1s. The closest representation to a repeating decimal of all 1s is the fraction 10/9, which has a repeating decimal representation of 1.1111....

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Answer:

k = 2.5

Step-by-step explanation:

The constant of proportionality k is the unit cost

k = $15 ÷ 6 = 2.5

The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

x = 3-7 = 4.

Ultimately, the third residual is; -4.

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The algorithm completes in an acceptable amount of time because it will draw n forms in around n2 steps.

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. A set of instructions called an algorithm is used to solve a problem or complete a task. An algorithm is a set of instructions that spells out how to carry out a task. An algorithm can be thought of as a series of detailed instructions that result in a predictable pattern in a set of numbers or in lines of code.

given

Which of the following best describes the algorithm for drawing n forms, where n is a very big number  based on the numbers in the table.

Because it will take around n2 steps to draw n forms, the algorithm completes in a fair length of time.

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Answer:

Yes

Step-by-step explanation:

Answer:

B. 5.6

Step-by-step explanation:

5 is the whole number, which always stays at the left before the decimal. \(\frac{6}{10}\) is 60% as a percent, but since its not a whole number its is after the decimal, so the answer is 5.6

The number of ways the letters of the word DANCER can be arranged if D and A remain together is 120 ways .

In the question ,

it is given that the word is DANGER ,

the number of letters in the given word is = 6

it is given that the letters D and A are together ,

that means they are a single unit ,

So , the number of letters become = 5 letters

and  5 letters can be arranged in 5! ways ,

which can be simplified  as

5! \(=\) 5 * 4 * 3 * 2 * 1 \(=\) 120 ways

Therefore , the number of ways of arrangement is 120 ways .

The given question is incomplete , the complete question is

How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit ?

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The vertex will be at (0, -3), and the graph will be lower than the parent function by 3 units at every point. The parent function of the absolute value function is f(x) = |x|.

To shift this function 3 units down, we need to subtract 3 from the function's output (y) at every point on the graph. This can be expressed as:

f(x) = |x| - 3

The absolute value function is symmetric around the y-axis, which means that any shifts to the left or right do not affect the shape of the graph, only its position on the coordinate plane.

However, a vertical shift up or down will change the location of the vertex, the point where the graph changes direction. In this case, the vertex will be at (0, -3), and the graph will be lower than the parent function by 3 units at every point.

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