A player kicks a soccer ball off of the ground. The height of the ball is modeled by the equation h(t)=-\frac34\left(t-4\right)^2+12h(t)=− 3/4 (t−4)^2 +12.

After how many seconds does the ball hit the ground?

The Sine Ratio is written as \(\frac{Perpendicular }{Hypoynuse}\) , then the maximum possible value of a Sine Ratio is 1 .

What is Sine Ratio ?

In a Right Triangle , the Sine of angle is defined as the ratio of length of the opposite side divided by the length of the hypotenuse .

we know that the domain for the Sine function is ⇒ all real numbers ;

and the range of Sine function is ⇒  [-1,1] ;

so , from the range we can conclude that , the maximum value is 1 .

Therefore , the maximum value of Sine ratio is = 1 .

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Answer:

If you take the 2 smallest sides and put it in the pythagreon theorem to get the other side length.

Step-by-step explanation:

So if you have a triangle with side lengths, 3, 4, and 5, you can use the exact equation below.

\( {3}^{2} + {4}^{2} = {5}^{2} \)

Because this is true, then the triangle does have a right angle.

9514 1404 393

Answer:

  $6,423.75

Step-by-step explanation:

The table tells you ...

If the amount is over 31,850 but not over 77,100 the tax is 4386.25 +25% of (40,000 -31,850).

So, the tax is ...

  $4,386.25 + 0.25(40,000 -31,850) = $4,386.25 + 0.25(8,150)

  = $4,386.25 +2,037.50 = $6,423.75

Answer:

5

Step-by-step explanation:

Work Shown:

4x - 8 = -4

4x = -4+8

4x = 4

x = 4/4

x = 1

To check the answer, we replace x with 1 in the original equation. After simplifying, we should get the same thing on both sides

4x - 8 = -4

4(1) - 8 = -4

4 - 8 = -4

-4 = -4

The answer is confirmed.

true? I believe due to how it starts with positive 4 and is subtracted by -8 this conceding a negative number.

The approximate value of b in the coordinates for the y - intercept would be 40.

The approximate slope of the estimated line of best fit would be 1. 5

The y - intercept of a line refers to where the line crosses the y - axis. Seeing as the y - axis crosses x - axis at 0, the coordinates would be ( 0, point on y - axis ). This point on the y - axis is shown to be 40 so the value of b is 40 so the coordinates are ( 0, 40 ).

The slope of the estimated line of best fit using ( 0, 40 ) and ( 20, 70) :

= Change in y / Change in x

= ( 70 - 40 ) / ( 20 - 0)

= 30 / 20

= 1. 5

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The expression for the perimeter of Shape A is P = 2x + 4 cm.

The perimeter of a rectangle is the sum of all its sides. In this case, Shape A has a length of x cm and a width of 2 cm. The length of the rectangle corresponds to two sides, while the width corresponds to the other two sides. Since opposite sides of a rectangle are congruent, we multiply the length (x cm) by 2 to account for both sides. The width (2 cm) is multiplied by 2 as well. Adding all the sides together, we get the expression for the perimeter of Shape A: P = 2x + 4 cm. This expression represents the total distance around the rectangle, which is the perimeter.

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A parallelogram is a geometrical shape such that its adjacent angles are supplementary, in other words, the addition of two angles that are next to one another is equal to 180°.

In the figure, b is next to c, b is next to a and a is next to the 30° angle; therefore:

We have a system of three equations and three unknowns, we can solve it as follows:

Thus, the answers are a=150°, b=30°, c=150°

a standard wooden pencil typically measures around 7 inches to 7.5 inches in length.

The average length of a pencil can vary depending on factors such as the type of pencil, region, and manufacturer. However, a standard wooden pencil typically measures around 7 inches to 7.5 inches in length. This range encompasses the most common lengths found in the market.

It's important to note that there may be slight variations in length between different pencil brands and styles. Additionally, specialty or novelty pencils may have different lengths based on their design or intended purpose.

To obtain a more accurate average length for a specific set of pencils or a particular region, you would need to measure a representative sample of pencils and calculate the average length based on the measurements obtained.

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The expression which is equivalent to that giving in the task content by distributing the "-" sign outside the parentheses is; 7n - 7.1p +1.

It follows from the task content that the expression which is equivalent to; −(−7n +7.1p) + 1 by distributing the "-" sign outside the parentheses is required.

Hence, it follows that each term in the parentheses is multiplied by the negative sign outside the parentheses as follows;

−(−7n) −(+7.1p) + 1

= 7n - 7.1p + 1

Ultimately, the expression which is equivalent to that given in the task content by distributing the "-" sign outside the parentheses is; 7n - 7.1p +1.

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The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.

x ax2+bx+c=0, a quadratic polynomial in a single variable, is a quadratic equation. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that there is at least one solution. There are both straightforward and complex solutions. A quadratic equation is a quadratic equation. This suggests that it contains at least one word that has to be squared. One of the commonly used answers to quadratic equations is "ax2 + bx + c = 0." where the unknown variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

4x^2 -3x-7 =0

4x^2 - 7x + 4x -7 = 0

x(4x-7) +1(4x-7) = 0

(4x-7 )(x+1) = 0

The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.

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Answer:

3.37

Step-by-step explanation:

I am not very sure but this would be the answer.

Answer:

See below

Step-by-step explanation:

To ensure the preservation of the clinical specimen for viral isolation, it should be stored at a specific temperature. The recommended temperature for storing the specimen is generally between 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit).

Storing the clinical specimen in viral transport medium at a temperature range of 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit) is commonly advised for preserving the viability of the virus. This temperature range helps to slow down the viral activity and prevents the specimen from deteriorating while awaiting processing. It provides an environment that can maintain the integrity of the viral particles until laboratory procedures can be carried out the following week. It's important to follow the recommended storage temperature to ensure accurate results and successful viral isolation from the specimen.

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approximately 27.46 plots of 5-po acre can be planted yet.

Given, Mr. Smith has 22% of his 176 total acres of corn planted.Hence, the area planted = 22% of 176 acres= 22/100 × 176= 38.72 acresLet the area of corn yet to be planted = x acresNow, the total area of corn = 176 acresThe total area of corn can be expressed as:Total area = Planted area + Area yet to be plantedHence,176 = 38.72 + xWe need to solve for the value of x.Hence, we can getx = 176 − 38.72= 137.28 acresWe need to find the number of 5-po acre plots that can be planted. Hence,Number of 5-po acre plots = (Area yet to be planted) / (Area of 5-po acre plot)= x / 5Therefore,Number of 5-po acre plots = 137.28 / 5= 27.456.

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There are approximately 27.46 (rounded to 2 decimal places) 5 acres of corn yet to be planted.

Given that Mr. Smith has 22 percent of his 176 total acres of corn planted.

We are to determine how many 5 acres of corn are yet to be planted.

Mathematically, the percent of something is equivalent to the ratio of that amount to the total amount.

Using this concept, we can solve for the total acres of corn planted by Mr. Smith.

22% of 176

= (22/100) × 176

= 38.72 acres

Now we can find the number of acres yet to be planted.

Number of acres yet to be planted

= Total acres - Acres planted

= 176 - 38.72= 137.28 acres

Since we need to determine the number of 5 acres of corn yet to be planted, we will divide the number of acres yet to be planted by 5 acres.

(137.28 acres/5 acres)

≈ 27.46 (approximated to 2 decimal places)

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The unit rate is found dividing y-variable by x-variable. In the case of the graph, the unit rate is:

Except for the first two tables, the other ones have unit rates greater than 15/8.

From least to greatest, the ordered unit rates are:

9/5, 13/7, 17/9, 19/10, 21/11, 23/12, 25/13

The value of y in the given figure is 108°.

The angles formed by a transversal line on the same side and position of the line, if lines are parallel then the corresponding angle are congruent.

Given is a figure, where two line AB and CD are being intersected by a transversal FE,

Let FE intersects AB and CD at P and O, respectively, (refer to the figure attached)

Since, AB ║ CD

Therefore, ∠ FPB  ≅ ∠ POD by the definition of corresponding angles,

2x+16 = 3x-12

x = 28

∠ POD = 28×3-12 = 72°

∠ POD and ∠ EOD are forming linear pair and therefore are supplementary,

∠ POD + y = 180°

72° + y =180°

y = 180°-72°

y = 108°

Hence, y = 108°

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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The zeros of the quadratic function f(x) = 2x² + 16x - 9 are given as follows:

\(x = -4 + \sqrt{\frac{41}{2}}, x = -4 - \sqrt{\frac{41}{2}}\)

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

In this problem, the equation is given by:

f(x) = 2x² + 16x - 9.

The coefficients are a = 2, b = 16, c = -9, hence:

\(\Delta = 16^2 - 4(2)(-9) = 328\)

Then:

\(x_1 = \frac{-16 + \sqrt{328}}{2(2)} = -4 + \sqrt{\frac{41}{2}}\)

\(x_2 = \frac{-16 - \sqrt{328}}{2(2)} = -4 - \sqrt{\frac{41}{2}}\)

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Answer:

i wish i knew lol

Step-by-step explanation:

Hello!

We have two probabilities we can use; we have 170/400, for our experiment, and 1/2, which is our theoretical probability.

To solve, we just multiply the two probabilities.

=0.2125≈21.3

Therefore, we have about a 21.3% chance of this event occurring.

I hope this helps!

Gratitude Attitude : THANKS!

The general solution of the differential equation is: y = ±√(7/6 eˣ + C)

To find the general solution of the differential equation 12yy' - 7eˣ = 0, we can use separation of variables.

First, we can divide both sides by 12y to get y' = 7eˣ/12y.

Next, we can multiply both sides by y and dx to separate the variables:

ydy = 7eˣ/12 dx

Integrating both sides, we get:

y²/2 = (7/12) eˣ + C

where C is the constant of integration.

Solving for y, we get:

y = ±√(7/6 eˣ+ C)

Therefore, the general solution of the differential equation is:

y = ±√(7/6 eˣ + C)

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Answer:

The stenographer will type 80 words.

Answer:

8−5=3

Step-by-step explanation:

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

Explanation:

From vertex form of quadratic function g(x)=a(x-h)²+k  the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²

It means the h determines how many units we moved parental graph horizontaly (to the left  if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly  (down if h<0, up if  h>0)

g(x) = (x - 8)² + 5  ⇒  h = 8,  k = 5

So if h and k are >0 it means the parental graph was moved to the right and up.

Answer:

Step-by-step explanation:

When we are creating a histogram it's best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, we should divide it into 5 categories.

0 - 5        

6 - 10  

11 - 15

16 - 20

21 - 25

Now that we have a set of ranges for the different variables, we can find the frequencies.

0 - 5  : 3      

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Since we have this we just add it to the histogram.

It should look like the image attachted below, I hope this helps :)

Answer:

here its my work from the test if its wrong sry but i think its write

Step-by-step explanation:

Answer:

The value of PQ is;

Explanation:

Given the figure in the attached image;

We can see from the figure that the triangle RSQ is similar to the triangle ROP.

So their corresponding sides are proportional;

Substituting the given values;

Therefore, the value of PQ is;