Three balls are thrown from a cliff with the same speed but at different angles. Ball 1 is thrown at 45 degrees (above horizontal), ball 2 is thrown at zero degrees, and ball 3 is thrown at -45 degrees (all relative to horizontal). Which ball has the greatest speed just before it hits the ground? A. Ball 2 B. Ball 3 C. Ball 1 D. Ball 1 and ball 3 tie E. All balls have the same speed

Answer:

Step-by-step explanation:

The formula for finding the midpoint of two coordinates is expressed as;

M(X,Y) = \((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\)

Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.

For the X coordinate of the midpoint

X = x1+x2/2

X = -4+(-1)/2

X = -4-1/2

X = -5/2

X = -2.5

Similarly for Y:

Y = y1+y2/2

Y = 5+(-4)/2

Y = 5-4/2

Y = 1/2

Y = 0.5

Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)

Answer:

next to or adjoining something else.

Step-by-step explanation:

Answer:

lying near, close, or contiguous

Step-by-step explanation:

B. the special rule of multiplication.

The joint probability of two independent events is computed using the special rule of multiplication.

When two events are independent, their joint probability is calculated using the special rule of multiplication.

This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.

For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.

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The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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Answer:

this is this because of PTI

Step-by-step explanation:

pto explain it to me on Monday and Friday Saturday morning

Answer:

\(2x^2+5x\)

\(=2xx+5x\)

\(=x\left(2x+5\right)\)

Hope it helps u

Answer:

- 18\(\sqrt{10}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(6\(\sqrt{2}\) )(- 3\(\sqrt{5}\) )

= 6 × - 3 × \(\sqrt{2}\) × \(\sqrt{5}\)

= - 18 × \(\sqrt{10}\)

= - 18\(\sqrt{10}\)

No, the function f(x) = x^2 is not injective on the set of real numbers.

To prove this, we can use the definition of an injective function, which states that for a function to be injective, each element of the domain must map to a unique element of the range. In other words, if f(a) = f(b), then a must equal b.

For the function f(x) = x^2, we can find two different elements of the domain that map to the same element of the range. For example, f(-2) = (-2)^2 = 4 and f(2) = (2)^2 = 4. This means that f(-2) = f(2), but -2 does not equal 2. Therefore, the function f(x) = x^2 is not injective on the set of real numbers.

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Answer

x + 6y = 20 {eq -1}

-

x + 2y = 8. {eq-2)

elimination method

4y=12

4. 4

y=3

substitute y=3 into eq 2

x + 2y =8

x +2(3)=8

x +6=8

x=8-6

x=2

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer:

407.3725

Step-by-step explanation:

It is not possible to reach the top of the ladder to the edge of the roof.

We can solve this problem using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the ladder is the hypotenuse of a right triangle, and the distance from the base of the ladder to the house and the distance from the top of the ladder to the edge of the roof are the two shorter sides.

Let x be the distance from the top of the ladder to the edge of the roof. Then, we can write:

\(10^{2}\) = \((1.5)^{2}\) + \(x^{2}\) + \(12^{2}\)

Simplifying and solving for x, we get:

100 = 2.25 +\(x^{2}\) + 144

\(x^{2}\) = 100 - 2.25 - 144

\(x^{2}\) = -46.25

Since x represents a distance, which must be positive, this means that there is no solution to the equation. Therefore, it is not possible for Sammy to reach the edge of the roof with his 10-foot ladder while keeping the base of the ladder at least 1.5 feet from the base of the house.

Correct Question :

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof?

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Hope it helps ~

Answer:

X=11°

Step-by-step explanation:

Paula will use 45 oz of sauce and 30 oz of cheese to make 5 pizzas, 3rd option.

To find this, you can use the proportion of ingredients used for 2 pizzas and scale it up to 5 pizzas.

For 2 pizzas, Paula uses 18 oz of sauce and 12 oz of cheese.

The proportion of sauce to cheese used is 18/12

To make 5 pizzas, you can use this proportion to find how much sauce and cheese is needed:

2 pizzas =  18 sauce

5 pizzas = 5 / 2 x 18 = 45 sauces.

For cheese required, Paula will use:

2 pizzas =  12 cheese

5 pizzas = 5 / 2 x 12 = 30 cheese.

So the total is 45 oz of sauce and 30 oz of cheese.

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Answer:

45 and 135

Step-by-step explanation:

Same Side Interior Angles = 180

x + 3x = 180

4x = 180

x = 45

3x = 135

Answer:

Angle 1 = 45 degrees

Angle 2 = 135 degrees

Step-by-step explanation:

All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.

180/4 = 45

First angle = 45 degrees

Second angle = 135 degrees

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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The current through the inductor to reach one-half of its maximum value after closing the switch is approximately 12.5 microseconds.

To determine the time it takes for the current through the inductor to reach one-half of its maximum value, we can use the time constant formula for an RL circuit:

t = (1/2)(L/R)

Given:

Plugging in the values, we have:

t = (1/2)(0.00125 H) / (50.0 Ω)

Simplifying the equation, we find:

t = 0.0000125 s or 12.5 μs

Therefore, the current through the inductor will reach one-half of its maximum value approximately 12.5 microseconds after closing the switch.

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Answer:

$180

Step-by-step explanation:

He earns $9 per hour

we should find how much does he earn for 20 hours

20 × 9

= 180

We find that option 1, -3(x^2 + 4), is the only expression that is equal to -3x^2-12.

The expression -3x^2-12 can be simplified by factoring out a common factor from both terms. Let's analyze the given options to determine which one is equal to the expression.

Option 1: -3(x^2 + 4)

If we distribute the -3, we get -3x^2 - 12. Therefore, this option is equal to the given expression.

Option 2: -3(x^2 - 4)

If we distribute the -3, we get -3x^2 + 12. This option is not equal to the given expression.

Option 3: -3(x^2 + 12)

If we distribute the -3, we get -3x^2 - 36. This option is not equal to the given expression.

Option 4: -3(x^2 - 12)

If we distribute the -3, we get -3x^2 + 36. This option is not equal to the given expression. ( option 1)

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Note- The complete question is "Which of the following expressions is equal to -3x^2-12:

-3(x^2 + 4)

-3(x^2 - 4)

-3(x^2 + 12)

-3(x^2 - 12)

Answer:

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

The car salesperson made $62,000 in sales for the month

Let us say the amount of sales the car salesperson made in a month is x. Then, the total income can be represented as:

$1,400 + 0.05x = $4,500

The equation represents the total income of the car salesperson as the base salary of $1,400 per month plus a commission of 5% on sales. To find the amount of sales made, we have to solve x.

Subtracting $1,400 from both sides:

0.05x = $4,500 - $1,400 = $3,100

Dividing both sides by 0.05:

x = $3,100 / 0.05 = $62,000

So the car salesperson made $62,000 in sales for the month.

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Answer: uwu hai owo how are you :3

Step-by-step explanation:

Answer:

oo jeez thats gross

Step-by-step explanation:

dont share photo's kids

Step-by-step explanation:

D I believe the answer is

general equation of cubic polynomial is :

And we know the product of its roots is equal to

by equating the given equation with general equation,

we get :

therfore, the product of their roots :

Answer = 6

i hope it helped.....