Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her bat when the ball was 3 feet above the ground.
Part A: No one interferes with the ball. How long does it take the ball to hit the ground?
Round your answer to the nearest hundredth of a second. Show all your work.
Part B: How far did the ball travel horizontally? Use your answer from Part (a) in your calculations. Round your answer to the nearest tenth of a foot. Show all your work.

(Please don't answer unless you have *All The Right Answers!* Please, don't just answer with nonsense, I'm looking at you brainly bot's)

Gilda will have 54% of the marbles of her original bag left with her.

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

Gilda has 100 marbles with her.

She gives 20% to her friend Pedro,

20%*100=20.

She gives 20 marbles to Pedro, she has 80 marbles.

She gives 10% to ebony,

10%*80=8

She gives 8 marbles to Ebony, she is left with 72 marbles.

She gives 25% to her brother Jimmy.

25%*72=18, she gives 18 to Jimmy.

She is left with 54 marbles, which 54% of the number of marbles Gilda had at the beginning.

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Complete question

Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. Then Gilda gives 10% of what is left to another friend, Ebony. Finally, Gilda gives 25% of what is now left in the bag to her brother Jimmy. What percentage of her original bag of marbles does Gilda have left for herself?

The statement holds true for the base case and it holds true for any k=n assuming it holds true for k=n, we can conclude that the statement holds true for all positive integer values of k. Hence, if we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in k binomial trees of the smaller orders.

The statement to be proven is: "If we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{k}$\) binomial trees of the smaller orders."

We will prove this statement by mathematical induction.

Base case k=1 :

Inductive step:

Suppose the statement holds true for some \($\mathbf{k}=\mathbf{n}$\), i.e., if we remove the root of an \($\mathbf{n}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{n}$\) binomial trees of the smaller orders. We need to show that it also holds true for \($\mathbf{k}=\mathbf{n}+1$\)

using definition of mathematical induction.

Consider a \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, which can be formed by joining two \($\mathrm{n}^{\text {th }}$\) order binomial trees. If we remove the root of this \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, we are left with two nth order binomial trees. By the induction hypothesis, each of these \($\mathbf{n}^{\text {th }}$\) order binomial trees will result in n binomial trees of the smaller orders. Hence, the result of removing the root of the \($(n+1)^{\text {th }}$\) order binomial tree will be n + n = 2n binomial trees of the smaller orders, which implies that the statement holds true for \($\mathrm{k}=\mathrm{n}+1$\) as well.

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Answer:

h(x) = 12x – 6

Step-by-step explanation:

To know which is the function that represents the area of a triangle, you take into account the degree of the given polynomials.

If the degree is 2, the graph of the function is a parabola.

If the degree is 1, the graph of the function is a line.

By comparing all functions you can conclude that only the last option (h(x)=12-x-6) is convenient to construct a triangle. The y-intersect of the function is at y=-6, the slope is positive and the x-intersect is x=1/2. This forms a triangle in the fourth quadrant of the coordinate system.

Answer:

B. g(x) = 12x2 – 6x

Step-by-step explanation:

correct on edge 2020

Answer:

c

Step-by-step explanation:

c remember vitamin c is helpful to you

Answer:

B 7 but the maths are always confusing at times its just the line one the side lifting the other one

Number of hours Marissa worked at pizza place is 26 hours.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now, it is given that,

Marissa's earning per hour = $9

Money received from selling of shoes = $80

Total money left this week = $314

Hence, Total earning = Total money left this week - Money received from selling of shoes

Total earning =  $314 - $80

⇒Total earning = $234

Therefore,

Hours of work = Total earning/earning per hour

⇒Hours of work = $234/$9 hours

⇒Hours of work = 26 hours

Hence,Number of hours Marissa worked at pizza place is 26 hours.

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Answer: Tiffany

Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

The initial amount at the start of the flight, which was 63,500 gallons, indicating that the jet would need to refuel soon after the 18 hours  of flight.

The linear model that can be used to predict the amount of jet fuel present on the Boeing 747-8 Intercontinental jet after 18 hours of flight without refueling is given by the equation

F = 63,500 - (800 x 18),

where F is the amount of jet fuel in gallons and 18 is the number of hours of flight. This equation indicates that after 18 hours of flight, the jet would have an estimated amount of jet fuel of 42,400 gallons remaining. This amount is significantly lower than the initial amount at the start of the flight, which was 63,500 gallons, indicating that the jet would need to refuel soon after the 18 hours of flight.

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Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

Answer:B.Sample space

Step-by-step explanation:

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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The steady-state amplitude is X = 2/√(29) and the steady-state phase is φ = -tan^(-1)(10/√29), the steady-state response xss(t) lags the input.

The steady-state response of the given system is a sinusoidal function with amplitude X and phase φ. Using the formula for steady-state response, we can find the values of X and φ for the given system. The output is said to lag the input if the phase is negative, which is the case here. We can plot the input and output versus time on the same graph to visualize the lag.

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The speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.

Let the speed of the power boat be x mph. Then, the speed of the cabin cruiser will be (x - 5) mph.Distance covered by the power boat in the given time = 40 miles

Distance covered by the cabin cruiser in the given time = 20 milesWe know that: Speed = Distance / TimeTherefore, we can write the following equations:

For power boat: x = 40 / tFor cabin cruiser: (x - 5) = 20 / twhere t is the time taken by the boats to travel the given distances. We can see that the time taken is the same for both boats (as they travel the same distance in the same time).Equating the two equations above, we get:x = (40 / t) + 5(taking the second equation and adding 5 to both sides)Multiplying both sides by t, we get:xt = 40 + 5tMultiplying both sides by 2, we get:2xt = 80 + 10t

We know that: Distance = Speed x Time

Therefore, the time taken by the boats to travel the given distances can be written as:t = Distance / SpeedSubstituting this in the equation above, we get:2x(20 / x) = 80 + 10xSimplifying, we get:40 = 80 + 10x - 2xx = 20 mphSubstituting this value in the equation (x - 5) = 20 / t, we get:(20 - 5) = 15 mph

Summary: Thus, the speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.

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The confidence interval is approximately (0.0814, 0.1386), meaning that with 98.5% confidence, the true proportion of new cars with manufacturing defects is between 8.14% and 13.86%. Since the cars were randomly selected, this confidence interval provides a reliable estimate of the overall defect rate in the entire population of new cars.

To determine the confidence interval at a significance level of 0.015, we need to calculate the standard error of the proportion and use it to find the margin of error.
First, we calculate the standard error of the proportion using the formula:
SE = sqrt[(p * (1 - p)) / n]
Where p is the proportion of defective cars in the population, which is given as 0.08, n is the sample size, which is 300, and sqrt denotes the square root.
SE = sqrt[(0.08 * (1 - 0.08)) / 300] = 0.019
Next, we find the margin of error by multiplying the standard error by the z-value corresponding to a significance level of 0.015. From a standard normal distribution table, we find that the z-value is -2.17 (since the significance level is on the left tail).
Margin of error = 2.17 * 0.019 = 0.041
Finally, we can construct the confidence interval by adding and subtracting the margin of error from the sample proportion:
CI = (p-hat - ME, p-hat + ME)
CI = (33/300 - 0.041, 33/300 + 0.041)
CI = (0.066, 0.154)
Therefore, we can say with 98.5% confidence that the true proportion of defective cars in the population lies between 0.066 and 0.154.

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We are given the following two points

Let us find the slope of the line that passes through these points

The slope of a line is given by

Let us substitute the given points into the above slope formula

Therefore, the slope of the line is 1/2

Answer:

80 percent increase in weight

Step-by-step explanation:

(2 1/4  -  1 1/4)/ 1 1/4 = 1/ (1 1/4) = .8   80 % increase

The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is π/77 (243 - 9sqrt(3)).

To find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis, we can use the method of cylindrical shells. This involves integrating the circumference of a cylindrical shell times its height to obtain the volume of each shell, and then adding up the volumes of all the shells to get the total volume.

First, let's find the points of intersection of the two curves:

2/7 x^2 = 9/7 - x^2

9/7 = 9/7 x^2 + 2/7 x^2

9/7 = 11/7 x^2

x^2 = 9/11

x = ±sqrt(9/11)

The solid we obtain by rotating this region about the x-axis will have cylindrical shells with height dx, radius x, and circumference 2πx. Therefore, the volume of each shell will be:

dV = 2πx × h × dx

where h is the difference between the y-values of the curves at x:

h = (9/7 - x^2) - (2/7 x^2) = 9/7 - 9/7 x^2

Therefore, the total volume of the solid will be:

V = ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) 2πx * (9/7 - 9/7 x^2) dx

V = 2π/7 ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) x(9 - 9x^2) dx

We can simplify the integrand by setting u = 9x^2:

du/dx = 18x

dx = du/18x

Substituting:

V = 2π/7 ∫(from u = 9/11 to u = 81/11) (1/2)u^(1/2) (9/2) (du/18x)

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / x du

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / sqrt(9/11 - u/11) du

This integral can be evaluated using a trigonometric substitution. Let u = 9/11 sin^2 θ, then:

du/dθ = (18/11) sin θ cos θ dθ

Substituting:

V = π/7 ∫(from θ = π/6 to θ = π/2) (81/121) sin^3 θ dθ

V = π/7 [(81/121) * (3/4) - (9/121) × (sqrt(3)/2)]

V = π/77 (243 - 9sqrt(3))

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Answer:

i thank is is the number 2

The equation y' = x + y + 1  is not seperable. Therefore the statement is false.

In mathematics, an ordinary differential equation (also known as an ODE) is an equation made up of one or more functions of a single independent variable and its derivatives. A function having one or more derivatives is a component of a differential equation.

Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

If you can express a differential equation as y′=f(x)g(y), where f(x) is only a function of x and g(y) is only a function of y, then the problem is separable. Here, it is not the situation.

But we are not limited to solving separable differential equations. We frequently use integrating factors to solve linear first-order differential equations, such as this one. Using the product rule, multiply your differential equation by an integrating factor—in this example, e—and you get (eyy)′=eyy+eyy′=eyx,

which you may integrate to get your differential equation's solution. Finding integrating factors for generic linear first-order differential equations of the type y′+p(x)y=q may be done in a general way (x).

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Step-by-step explanation:

(6-√2)(6+√2)=36-6√2+6√2-2

=36-2

=34

Answer:

the equation for the line would be x= 4

Step-by-step explanation:

vertical lines means that only the x axis will be crossed by the line

this means that if you have a point of a vertical line, you can take the x value in it to determine the equation

La cantidad 855672019 descrita en palabras es Ochocientos cincuenta y cinco millones seiscientos setenta y dos mil diecinueve.

En este ejercicio debemos representar en palabras la cantidad asociada al conjunto de dígitos descritos en el enunciado. Para leer y describir un número se lee de izquierda a derecha, en donde un dígito a la derecha tiene más magnitud que un dígito a la izquierda, de modo que se comienza con el dígito de mayor magnitud hasta alcanzar el de menor magnitud.

8 - Ochocientos millones

5 - Cincuenta millones

5 - Cinco millones

6 - Seiscientos mil

7 - Setenta mil

2 - Dos mil

01 - Diez

9 - Nueve

En consecuencia, la cantidad 855672019 es Ochocientos cincuenta y cinco millones seiscientos setenta y dos mil diecinueve.

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Answer:

Step-by-step explanation:

6x6÷4=1/9

The department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

Let x be the number of sections of finite math and y be the number of sections of applied calculus. Then we have:

x + y = 170   (total number of sections offered)

90x + 80y = 14400   (total number of students)

To solve for x and y, we can use elimination or substitution.

Let's use elimination by multiplying the first equation by 80 and subtracting it from the second equation:

90x + 80y = 14400
-80x - 80y = -13600
-----------------
10x = 800
x = 80

Now we can substitute x = 80 into either equation to solve for y:

80 + y = 170
y = 90

Therefore, the department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

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Answer:

its b

Step-by-step explanation:

i litteraly just did that

Answer:

D

Step-by-step explanation:

Since it is an equal sign you want to know when the will have the same amount of money. Also, the person who has $90 must save $9 a week as well because both those numbers are on the same side of the equation and vice versa.

-2x+8y-3

Hope this helps! :)

Answer:

-2x + 8y -3

Step-by-step explanation:

-2x = -2x

2y + 6y = 8y

-3  = -3

To perform a hypothesis test on the proportion of people who subscribe to a cable television service versus others, we need to check the following conditions:

1. Random Sampling: Ensure that the sample is randomly selected, which means each person has an equal chance of being selected. This is important to avoid biases and ensure the sample is representative of the population.

2. Independence: If sampling without replacement, the sample size (n) should be less than 10% of the population size (N) to assume independence. This is called the 10% Rule. Independence is important because the outcome of one person's choice should not affect another person's choice.

3. Normality: We need to ensure that the sampling distribution of the sample proportion (p-hat) is approximately normal. This can be checked using the success-failure condition, which states that both np and n(1-p) should be greater than or equal to 10. This ensures that the distribution is sufficiently normal to apply the z-test.

To help the student, remind them to:

1. Verify that the sample is random.
2. Check the independence condition by confirming the sample size is less than 10% of the population size.
3. Check the normality condition by calculating np and n(1-p) and making sure both values are greater than or equal to 10.

It is crucial to check these conditions because if they are not met, the hypothesis test's results may not be valid or reliable. Meeting these conditions ensures that the statistical methods applied are appropriate and provide accurate results for making conclusions.

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