Reflections over the x axis change the ____-________

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

each scarf is approximately 68.4 inches long.

To find the length of each scarf, we can divide the total length by the number of scarves.

Total length of the scarves = 39.9 ft

Number of scarves = 7

To convert the length from feet to inches, we can use the conversion factor: 1 ft = 12 inches.

Length of each scarf = (Total length of the scarves) / (Number of scarves)

                   = 39.9 ft / 7

                   ≈ 5.7 ft

Now, let's convert the length from feet to inches:

Length of each scarf in inches = (Length of each scarf in feet) * (Conversion factor)

                             = 5.7 ft * 12 inches/ft

                             = 68.4 inches

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Answer:The answer will be 3

Step-by-step explanation:

First you turn the addition sigh into subtraction

Answer:

Step-by-step explanation:

Here's what we know:

1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)

First we need a common denominator. LCD is 30:

5/30 + 12/30 + x = 1

18/30 + x = 1

Subtract:

x = 30/30 - 18/30

x = 12/30

Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:

60/y = 12/30

Cross multiply:

60 * 30 = 12y

Divide both sides by 12:

60 * 30 / 12 = y

Factor out a 6:

10 * 30 / 2 = y

Factor out 2:

10 * 15 = y

150 = y

There are 150 pages in the book.

try this!!!!!!!

(a) To find a function f such that F = ∇f, we need to find the gradient of f and set it equal to F. So,

∇f = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

F = 2xz + y^2 i + 2xy j + x^2 + 15z^2 k

Setting the corresponding components equal to each other, we get:

∂f/∂x = x^2

∂f/∂y = 2xy

∂f/∂z = 2xz + 15z^2

Integrating each of these with respect to their respective variables, we get:

f(x, y, z) = (1/3)x^3 + x^2y + 5xz^2 + g(y)

where g(y) is an arbitrary function of y.

(b) Using the result from part (a), we have:

∇f = 3x^2 i + 2xy j + (10z + 6xz) k

C: x = t^2, y = t + 1, z = 3t − 1, 0 ≤ t ≤ 1

dr = (2t) i + j + (3) k

∇f · dr = (9t^4) + (4t^2) + (30t^2 - 18t - 3)

= 9t^4 + 34t^2 - 18t - 3

To evaluate C ∇f · dr, we substitute the values of x, y, z, and dr into the expression above and integrate with respect to t from 0 to 1:

C ∇f · dr = ∫₀¹ (9t^4 + 34t^2 - 18t - 3) (2t) dt

= 161/5

Therefore, C ∇f · dr = 161/5.

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Answer:

.

Step-by-step explanation:

Answer:

1. Country = 160, Pop= 135

2. Country = 170, Pop = 155

3. Country = 180, Pop = 175

4. Country = 190, Pop = 195

5. Country = 200, Pop = 215

6. Country = 210, Pop = 235

7. Country = 220, Pop = 255

8. Country = 230, Pop = 275

9. Country = 240, Pop = 295

10. Country = 259, Pop = 315

Step-by-step explanation:

Replace the x in the equations with the week number then solve the equation

The statement "Z-scores are negative for values of x that are less than the distribution mean" is true. A

measures the number of standard deviations a given value is from the mean.

Since values less than the mean are below the average, their z-scores will be negative.

B. The statement "Z-scores are equal to 1.0 for values of x that are equal to the distribution mean" is false. The z-score for a value equal to the mean is always 0, not 1. A z-score of 1.0 represents a value that is one standard deviation above the mean.

C. The statement "Z-scores are zero for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not zero. As mentioned earlier, the z-score of 0 corresponds to a value equal to the mean.

D. The statement "Z-scores are positive for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not positive. Positive z-scores represent values greater than the mean.

Regarding Allison counting the number of customers visiting her store on a given day, the statement "she is working with continuous data" is true. Continuous data refers to measurements that can take on any value within a certain range. The number of customers visiting a store can be any non-negative real number, making it a continuous variable.

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Keon scored 5 goals.

Answer:

B

Step-by-step explanation:

the correct answer is b

4.16×10= 41.6

The Laplace transform of the convolution f * g is 1 / ((s - 2)(s - 3)).

To find the convolution of two functions, we can utilize the properties of the Laplace transform. The convolution of two functions f(t) and g(t) is defined as:

(f * g)(t) = ∫[0 to t] f(t - τ)g(τ) dτ

In this case, we are given f(t) = e^(2t) and g(t) = e^(3t). We can find their Laplace transforms individually and then multiply them together to obtain the Laplace transform of the convolution.

The Laplace transform of f(t) is given by:

L{f(t)} = L{e^(2t)}

To find the Laplace transform of e^(2t), we can utilize the property that L{e^(at)} = 1 / (s - a), where s is the complex variable. Therefore:

L{e^(2t)} = 1 / (s - 2)

Similarly, the Laplace transform of g(t) is given by:

L{g(t)} = L{e^(3t)} = 1 / (s - 3)

Now, to find the Laplace transform of the convolution (f * g)(t), we multiply the Laplace transforms of f(t) and g(t):

L{(f * g)(t)} = L{f(t)} * L{g(t)}

Multiplying the two Laplace transforms, we get:

L{(f * g)(t)} = (1 / (s - 2)) * (1 / (s - 3))

Simplifying this expression, we can combine the fractions:

L{(f * g)(t)} = 1 / ((s - 2)(s - 3))

Therefore, the Laplace transform of the convolution f * g is 1 / ((s - 2)(s - 3)).

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Answer:

21 years

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

Answer:

Option D is correct

Step-by-step explanation:

This is because 5 and 3 are odd numbers and a coefficient is a number next to a variable and both of those coefficients in Option D are odd. Therefore, Option D is correct.

62,800,000 is the product of (6.28 x 10^3) x 10,000.

It refers to the result of one or more multiplications.

Given number is (6.28 x 10^3) x 10,000.

6.28 x 10^3 =  6280

Therefore, 6280 x 10,000 = 628,000,00

Hence, the product of (6.28 x 10^3) x 10,000 is  628,000,00.

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Answer:

Slope = 2, and y intercept = -5

Answer:

The overall equation for slope-intercept is

y = mx + b

M would equal slope

B would be equal y-intercept.

So, judging from both equations now,

-2 is slope, while y-intercept is -5

If you are confused on why the y-intercept is -5 I will answer it for you. Have a good day ^-^

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the levels of lead is between (0.4958, 0.7422).

p is 26/42=0.6190

rootp(1-p)/n=root0.6190(1-0.6190)/42=0.0749

satisfies that above this and under the standard normal density there is an area of 0.05. In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the true population proportion of water specimens that contain detectable levels of lead is between (0.4958, 0.7422).

Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.

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Answer:

y=-4x+4x-32

Step-by-step explanation:

Answer:

y=x-8

Step-by-step explanation:

4y-4x=-32

4y=4x+(-32)

4y=4x-32

y=4/4x-32/4

y=x-8

To calculate the receivable days, divide the trade receivables (RM63,000) by the average daily sales (RM1,400) to get approximately 45 days.



To calculate the receivable days, we need to determine the average daily sales and then divide the trade receivables by that figure.

First, we calculate the average daily sales by dividing the total sales by the number of days in the year:

Average daily sales = Total sales / Number of days

Since the year ended on 30th June 2019, there are 365 days in total.

Average daily sales = RM511,000 / 365 = RM1,400

Next, we divide the trade receivables by the average daily sales to find the receivable days:

Receivable days = Trade receivables / Average daily sales

Receivable days = RM63,000 / RM1,400 ≈ 45 days

Therefore, Alice's receivable days on 30th June 2019 is approximately 45 days.

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Answer: the answer is x=−2

Answer:

the answer is x= -2

Step-by-step explanation:

negative two

Answer: It will take Johny 28 minutes to type a 2,100 word essay.

Step-by-step explanation:

600 words per 8 minutes. (6 * 3.5 = 21) 8 times 3.5 equals 28 minutes.

Work Shown:

(600 words)/(8 minutes) = (2100 words)/(x minutes)

600/8 = 2100/x

75 = 2100/x

75x = 2100

x = 2100/75

x = 28

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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Answer:

As shown in the attachment.

Step-by-step explanation:

Here are the examples,

Plot the graphs and similarly and check the equations with the various co-ordinates of x and y in the line to verify it is correct.

Solution of the system of equations are,

⇒ x = 1

⇒ y = 5

WE have to given that;

The system of equation are,

6x + 6y = 36

5x + y = 10

Now, By applying elimination method we can solve the system of equations as,

Multiply by 6 in (ii);

30x + 6y = 60

Subtract above equation by (i);

24x = 24

x = 1

From (ii);

5x + y = 10

5 + y = 10

y = 10 - 5

y = 5

Hence, Solution of the system of equations are,

⇒ x = 1

⇒ y = 5

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Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.

To find the probability of the event, we need to use the formula for the probability of an event, which is:

P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.

There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.

Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)

Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.

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Answer:

Step-by-step explanation:

X axis intercept (y=0)

3x+2(0)=5

3x=5

x=5/3

Y axis intercept (x=0)

3(0)+2y=5

2y=5

y=5/2

so, the interception points are: (5/3,0) and (5/2,0)

The length of ribbon that remained is 3m and 90 cm which is calculated by subtracting the cut length from the total length of the ribbon.

An arithmetic operation called subtraction simulates the process of removing items from a collection.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices, however it is typically linked with natural numbers in mathematics.

The total length of the ribbon is is 5 meters or 500 centimeters. The length of the piece of ribbon that was cut is 1 m 10 cm=110 cm.

Length of the ribbon that remained is calculated by subtracting the total length form the cut off length 500-110 = 390 centimeters.

390 centimeters= 3 meters and 90 centimeters.

So the length that remained is 3 meters and 90 centimeters.

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Answer:

f(x) = ∣x∣

A.)

f(x) = 3√x

E.)

Fist one is A and second is E

Step-by-step explanation:

Have a nice day! :-)

Answer:

median is 7 because it's frequency is 3

Step-by-step explanation:

we were just learning these in o.maths.

The median,range and mode will be equal to 9,5 and 7.

The Median is the middlemost value of the numbers arranged in the ascending orders.

The mode will be defined as the number which is repeated mostly in the sequence.

The Range is the difference between the highest and the lowest value in the series.

The Median will be calculated as:-

7,7,7,8,10,11,12,12

median = (8+10)/2=9

The mode will be:-

7,7,7,8,10,11,12,12

Mode =7

The range will be:-

7,7,7,8,10,11,12,12

Range= 12-7=5

Hence the median,range and mode will be equal to 9,5 and 7.

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