Read the real-world situation and substitute in values for the projectile motion formula. Then solve the resulting quadratic equation by factoring to answer the question. An airplane pilot jumps out of an airplane and has an initial velocity of 60 feet per second downwards. How long does it take to fall from 1000 feet to 900 feet before the parachute opens? The pilot falls for seconds before the parachute opens.

Answer

Step-by-step explanation:

quad 1=+,+

quad 2= -+

quad 3= -,-

quad 4= +,-

Answer:

its 23.6 not 19.7 the other guy guessed

Step-by-step explanation:

23.6

Answer:

The correct answer is 23.6

Step-by-step explanation:

I just got it correct.

Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Answer:

pound=33.069339lb this is the awnser i worked it out

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the coordinates of the image of the triangle defined by A(3, 4), B(4, 2), and C(1, 2) after it has been translated by (-3, 9).

The translation amounts are added to the corresponding coordinates:

  (x, y) ⇒ (x -3, y +9)

  A(3, 4) ⇒ A'(3 -3, 4 +9) = A'(0, 13)

  B(4, 2) ⇒ B'(4 -3, 2 +9) = B'(1, 11)

  C(1, 2) ⇒ C'(1 -3, 2 +9) = C'(-2, 11)

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Answer:

63 members

Step-by-step explanation:

Since each person calls 2 persons each, there is an exponential increase of 2 for each level. Since it starts with the president as 1 person, and increases exponentially by 2 for each level of phone call, we have a geometric progression of first term, a = 1 and common ratio r = 2. Since the process of phone calls must be repeated 5 times, our last term is 2⁵. So, our geometric progression is 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵

We now sum the geometric progression

The sum of a geometric progression with r > 1 is

S = a(rⁿ - 1)/(r - 1)

substituting r = 2, a = 1 and n = 6 since we have 6 terms, we have

S = 1(2⁶ - 1)/(2 - 1)

= (64 - 1)/1

= 63

So, we have 63 members in the club.

We could have also found this by summing up individually the terms in the series. We have 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63

To find the perimeter of the figure made with 70 triangles, we need to first find the perimeter of one triangle and then multiply it by 70. Since each side of each triangle is 1 meter long, the perimeter of one triangle is 3 meters (1+1+1).
Therefore, the perimeter of the figure made with 70 triangles is 70 multiplied by 3, which equals 210 meters.


The original figure consists of 4 triangles, which means the perimeter is the sum of the lengths of the 12 sides of those triangles, each with a length of 1 meter. Therefore, the perimeter of the original figure is 12 meters.

To find the perimeter of the figure made with 70 triangles, we can use the fact that each additional row of triangles adds 3 meters to the perimeter. Since the original figure has 4 triangles and the long figure has 70 triangles, there are 66 additional rows of triangles. Therefore, the perimeter of the long figure is:

12 meters + (66 rows x 3 meters/row) = 12 meters + 198 meters = 210 meters.

Thus, the perimeter of the figure made with 70 triangles is 210 meters.

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Answer:

9 Should be your answer

Step-by-step explanation:

\(2^{2}\) = 4

\(3^{2}\) = 9

These will help us as we solve this problem.

Then: 2² + 3² - 2²

= 4 + 9 - 4

= 9

Kind requests:

Please give brainliest :D

Answer:

32

Step-by-step explanation:

256/8=32

The solution of the equation ss2 12s 36=f∣∣s 6 where f(s)= is s = - 6 √2 + 12.

To solve the equation ss2 12s 36=f∣∣s 6 where f(s)=, we need to substitute the given value of f(s) in the equation. The correct answer is ss2 12s 36=f(6)To find the value of f(6), we have to substitute s = 6 in the equation f(s) = ss2 12s 36.

Therefore,f(6) = ss2 12 × 6 - 36= ss2 72 - 36= ss2 36= 6 √2

Now, we can substitute f(6) in the given equation. ss2 12s 36 = 6 √2

We need to isolate s on one side of the equation.

ss2 12s = 6 √2 - 36

Taking the square of both sides, we get:

12s = (6 √2 - 36)2

= 72 - 72 √2 + 72

= - 72 √2 + 144

Dividing by 12, we gets

= - 6 √2 + 12

Therefore, the solution of the equation ss2 12s 36=f∣∣s 6 where f(s)= is s = - 6 √2 + 12.

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Answer: C.5

Step-by-step explanation:

the series converges within the interval -2 < x < 2.

the radius of convergence, r, is 2.

To find the radius of convergence, r, of the series ∑((\(-1)^n * n^4 * x^n/2^n\)) from n = 1 to infinity, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms in a series is L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1.

Let's apply the ratio test to the given series:

lim (n→∞) |\(((-1)^{(n+1)} * (n+1)^4 * x^{(n+1)}/2^(n+1)) / ((-1)^n * n^4 * x^n/2^n)\)|

= lim (n→∞) |\(((-1)^{(n+1)} * (n+1)^4 * x^{(n+1)} * 2^n) / ((-1)^n * n^4 * x^n * 2^{(n+1)})|\)

= lim (n→∞) |\(((n+1)^4 * x * 2^n) / (n^4 * 2^{(n+1)})|\)

= lim (n→∞) |(\(n+1)^4 * x / (n^4 * 2)|\)

= |x/2| * lim (n→∞)\(|(n+1)^4 / n^4|\)

Now, let's simplify the limit term:

lim (n→∞) \(|(n+1)^4 / n^4|\)

= lim (n→∞)\(|(1 + 1/n)^4|\)

= \((1 + 0)^4\)

= 1

Therefore, the limit of the ratio is 1. According to the ratio test, if the limit is equal to 1, the test is inconclusive. In such cases, we need to examine the boundary cases separately.

At the boundary cases, the series can converge or diverge. So we check for convergence when |x/2| = 1.

When x/2 = 1, x = 2, and when x/2 = -1, x = -2.

Now, we need to consider the interval between x = -2 and x = 2 to determine the radius of convergence.

Since the ratio test was inconclusive and we have convergence at x = 2 and x = -2, we need to check the behavior at these points.

For x = 2, the series becomes ∑\(((-1)^n * n^4 * 2^n/2^n\)) = ∑(\((-1)^n * n^4\)), which is an alternating series. By the Alternating Series Test, this series converges.

For x = -2, the series becomes ∑(\((-1)^n * n^4 * (-2)^n/2^n\)) = ∑\(((-1)^n * n^4 * (-1)^n)\), which is also an alternating series. Again, by the Alternating Series Test, this series converges.

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Answer:

Larry Bird if I'm not mistaken. He was a basketball legend.

Step-by-step explanation:

The twitter birds full name is Larry T. Bird named after Larry Bird a famous basketball star.

Answer: 3/4 = 6/8

so u need 60*6, so

c=60*6 ?

c meaning calories

Answer:

How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4

How many cups of honey will the baker use for 15 cakes? = 3/4*15

How many cakes could the baker make if he has 78 cup of honey? =  7/8 divided by 3/4.

Step-by-step explanation:

Promise this is tried and tested

The height of 14 DVD storage cases sold together will be 7/3 inches or 2.33 inches.

We will be using simple multiplication and unitary method to calculate the height in simplest form. Now, based on unitary concept, 1 case measures specific height. Then, multiple cases will measure total height = measure of height of one case × number of cases.

Using the above mentioned formula to find the total height by keeping values in the formula-

Total height = 1/6 × 14

Performing multiplication of fraction with number to find the total height of all cases sold together

Height of all cases = 2.33 inches

Writing it in fraction for simplified form.

Height = 7/3 inches.

Thus, the height of 14 cases will be 7/3 inches or 2.33 inches.

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On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

19.3

Step-by-step explanation:

482.5/25=

19.3

The length of ZW is 45 inches.

We have,

A parallelogram is a member of quadrilateral which has a pair of opposite sides to be equal, and a pair of slant opposite sides.

In the given information, we have;

WX = YZ (a pair of opposite side of a parallelogram are equal)

2x + 15 = 4x - 21

collect like terms,

21 + 15 = 4x - 2x

36 = 2x

x = 36/2

x = 18

So that;

WX = 2x + 15

     = 2(18) + 15

WX = 36 + 15

     = 51

XY = x + 27

    = 18 + 27

    = 45

Therefore,

ZW = XY  (a pair of opposite sides are equal)

ZW = 45

The length of ZW is 45 inches.

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To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Supposing the value of x to be an integer, the values of k that donot

satisfy the given equation 3x = k mod 6 are 1,2,4,5.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.

If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.

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Answer:

Step-by-step explanation:

For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:

f(x) = 7(3/14) + 2

f(x) = 21/14 + 2

f(x) = 49/14

f(x) = 7/2

For part b, we take the input of -3 into the second function and solve the equation:

h(x) = 4(-3)^2

h(x) = 4(9)

h(x) = 36

For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.

Answer: If you multiply six positives, it would be positive. If you multiply six negatives, it would be positive.

Step-by-step explanation:

If you see, 2x2x2x2x2x2=64, it would be positive.

If you multiply -2x-2x-2x-2x-2x-2x, it would be positive. A negative plus a negative is better. Hope you learned

Answer:

Step-by-step explanation:

Total zigzag = 5 + 5 = 10

5 zigzag made of velvet

Probability of zigzag made of velvet = 5/10 = 1/2

I guess this is the answer. 1/2

Answer:

5/17

Step-by-step explanation:

number of zigzag AND velvet (5) over the total number of bow ties (17)

We are given that this triangle is a right triangle, one angle measurement, and one side length. Therefore, to figure out the other side length, we can use a trigonometric function to figure out side x. If we orient the triangle to angle T, then the hypotenuse is the side length measuring 1.8 units and side length x is the opposite (because it is opposite from angle T). This insinuates we use a sine to figure out side length x because sine finds the ratio between the opposite and the hypotenuse:

sin(50 deg) = x/1.8

1.8*sin(50 deg) = x

x is about 1.3788

Answer:

1.379 or 1.4 (to 1dp)

Step-by-step explanation:

For this question we obviously need to use trigonometry. We will use the equation O = S x H, where O is the opposite side, S is sin and H is the hypotenuse.

Answer:

Associative property of addition

Step-by-step explanation:

This is the property used here. It states that the sum of three or more quantities will be same regardless of the order in which they are added.

Answer:

Associative Property Is Correct

Step-by-step explanation:

The associative property of Addition states that the Sum of three or more numbers remains the same regardless of how the numbers are grouped.

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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The height of the ceiling at the center of the hall will be approximately 19.9 feet.

To design a hall 110 feet in length as a whispering gallery, the height of the ceiling at the center should be 19.9 feet. This is calculated as follows:

Given that the hall has a length of 110 feet and is designed as a whispering gallery.

Also, the foci are located 30 feet from the center. We are to determine the height of the ceiling at the center.

To solve the problem, we will use the formula for a whispering gallery which is given as:

1 / b2 = 1 / a2 - 1 / c2where a, b, and c are the semi-axes of the ellipse and are related by the equation:

a2 = b2 + c2Using the given information, we can find the value of a as follows:

a = 55 feet (half the length of the hall) and

c = 30 feet (distance of the foci from the center of the hall)

Substituting these values in the equation for a above, we have:

b2 = a2 - c2= 55² - 30²= 3025 - 900= 2125 feet²Therefore, b = √2125 = 46.1

feetNow we can calculate the height of the ceiling at the center using the formula for the height of an ellipse at its center, which is given as:

height = b2 / a= (46.1)2 / 55= 19.9 feet (rounded to one decimal place)

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Answer:

120

Step-by-step explanation:

6*5*4=120 and boom that’s your answer