When will the falling bowling ball have an equal amo
potential energy and kinetic energy?
A just before Jayla drops it
just before it strikes the ground
when it passes rung 6 on the ladder
D when it passes rung 4 on the ladder

Answer:

5 + 102x

Step-by-step explanation:

  5(-8+6x) - 9(-5-8x)

= -40 + 30x + 45 + 72x

= 5 + 102x

Integration of tan inverse x yields the antiderivative of arctan, also referred to as the integral of arctan, which is denoted by

\($\int \tan ^{-1} x d x=x \tan ^{-1} x-1 / 2 \ln \left|1+x^2\right|+C\),  when the integration constant C is used.

To learn more about Integral of Arctan, refer to:

https://brainly.com/question/1554041

#SPJ4

The value closest to the correlation for the given scatterplot would be C.) -0.75.

In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.

To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.

Learn more about correlation coefficients

brainly.com/question/29704223

#SPJ11

The place value of 9 in 194.6 is tens or 90.

According to the question,

We have the following expression:

194.6

Now, we know that place value of any digit can be found easily. The place value of the digit at the right most corner (of a number without any decimal point) is unit, left to this digit we have place value of tens, then we have hundred, then thousand, ten thousand, etc.

Now, in this case, we have a decimal point. So, we will look at the last digit before the decimal point because it's place value is unit place. And the next left digit to this is tens.

Hence, the place value of 9 in 194.6 is tens.

To know more about place value here

https://brainly.com/question/27734142

#SPJ1

The answer is 20

yep i think so

Answer:

3/20

Step-by-step explanation:

\( \frac{3}{4} \div 5 \\ \\ = \frac{3}{4} \times \frac{1}{5} \\ \\ = \frac{3 \times 1}{4 \times 5} \\ \\ = \frac{3}{20} \)

Answer:

-27

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

h(-3)=-2(-3)²+3(-3)

=-18+(-9)

-27

Given the functions f(x) = √x + 6 and g(x) = x^2 + n, we are asked to find the value of g(n) when f(g(4)) equals 7.

To find the value of g(n), we need to evaluate the composite function f(g(4)) and solve for n. First, let's find g(4) by substituting x = 4 into the function g(x):

g(4) = 4^2 + n

g(4) = 16 + n

Next, we substitute g(4) into the function f(x):

f(g(4)) = f(16 + n)

According to the problem, f(g(4)) equals 7, so we have:

7 = f(16 + n)

Now, let's substitute the expression for f(x) into the equation:

7 = √(16 + n) + 6

To find the value of n, we can solve this equation algebraically:

√(16 + n) + 6 = 7

√(16 + n) = 7 - 6

√(16 + n) = 1

Squaring both sides of the equation, we get:

16 + n = 1^2

16 + n = 1

n = 1 - 16

n = -15

Therefore, the value of g(n) is -15.

learn more about functions here:

https://brainly.com/question/31062578

#SPJ11

The appropriate design for testing the significance of the difference between the means in this scenario is a one-sample t-test.

To calculate the one-sample t-test, we need to compare the mean score of the history teacher (8.6) with the school average (9.3) and take into account the standard deviation of the history teacher's scores (0.6) and the estimated standard error of the mean for the school average (2.3).

The null hypothesis for the one-sample t-test is that there is no significant difference between the history teacher's mean score and the school average. The alternative hypothesis is that there is a significant difference.

We can calculate the t-value using the formula:

t = (mean score - population mean) / (standard deviation / √sample size)

Substituting the values from the given information:

t = (8.6 - 9.3) / (0.6 / √30) ≈ -1.16

Next, we can determine the critical value for a given level of significance (usually denoted by α). Let's assume a significance level of 0.05 (5%). We need to look up the critical value from the t-distribution table with degrees of freedom equal to the sample size minus 1 (n-1). In this case, the degrees of freedom would be 30 - 1 = 29. The critical value for a two-tailed test at a 5% significance level is approximately ±2.045.

Comparing the absolute value of the calculated t-value (-1.16) with the critical value (2.045), we find that the calculated t-value does not exceed the critical value. Therefore, we fail to reject the null hypothesis, indicating that there is no significant difference between the history teacher's mean score and the school average.

To know more about one-sample t-tests, refer here:

https://brainly.com/question/32683203#

#SPJ11

Approximately 68% of the assembly times for clocks at the factory are expected to fall between 2 hours and 4 hours.

The problem states that the assembly times for clocks at the factory are approximately normally distributed, with a mean of 3 hours (μ = 3) and a standard deviation of 0.5 hours (σ = 0.5). To determine the percentage of times between 2 hours and 4 hours, we can use the properties of the normal distribution.

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Since the standard deviation is 0.5 hours, one standard deviation below the mean is 3 - 0.5 = 2.5 hours, and one standard deviation above the mean is 3 + 0.5 = 3.5 hours. Therefore, approximately 68% of the times fall between 2.5 hours and 3.5 hours.

However, we are interested in the percentage of times between 2 hours and 4 hours. Since both 2 hours and 4 hours are within one standard deviation of the mean, which covers approximately 68% of the data, we can conclude that approximately 68% of the times are between 2 hours and 4 hours. Therefore, the correct answer is 68%.

Learn more about sigma deviation: brainly.com/question/30378029

#SPJ11

Approximately 68% of the assembly times for clocks at the factory are expected to fall between 2 hours and 4 hours.

The problem states that the assembly times for clocks at the factory are approximately normally distributed, with a mean of 3 hours         (μ = 3) and a standard deviation of 0.5 hours (σ = 0.5). To determine the percentage of times between 2 hours and 4 hours, we can use the properties of the normal distribution.

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Since the standard deviation is 0.5 hours, one standard deviation below the mean is 3 - 0.5 = 2.5 hours, and one standard deviation above the mean is 3 + 0.5 = 3.5 hours. Therefore, approximately 68% of the times fall between 2.5 hours and 3.5 hours.

However, we are interested in the percentage of times between 2 hours and 4 hours. Since both 2 hours and 4 hours are within one standard deviation of the mean, which covers approximately 68% of the data, we can conclude that approximately 68% of the times are between 2 hours and 4 hours. Therefore, the correct answer is 68%.

Learn more about sigma deviation: brainly.com/question/30378029

#SPJ11

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

(see attachment)

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment EG is 19 unit.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that EF bisects CD at point G, therefore, the line segment CD will be divided into two equal parts, CG and GD. Therefore, we can write,

CG = GD

5x - 1 = 7x - 13

-1 + 13 = 7x - 5x

12 = 2x

x = 12/2

x = 6

Further, the length of segment EG will be,

EG = EF - GF

     = 6x - 4 - (13)

     = 6x - 4 - 13

     = 6x - 17

     = 6(6) - 17

     = 36 - 17

     = 19

Hence, the length of the line segment EG is 19 unit.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

Answer:

1) I believe the answer is D

Explanation: The square root of 7 is approximately 2.64 which then gets divided by 3 which results in approximately 0.88, then you have to factor in that the problem has only one negative sign; therefore, the answer should be Point D.

Step-by-step explanation:

For the second one turn them into decimals

5/8 = 0.625

2√5 = 4.472

-pi/3 = -1.047

Then rearrange them 2√5, 5/8, -pi/3

Answer:

y = -3x + 12.96

y = \(\frac{-4}{3}\) x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = \(\frac{-4}{3}\) x + 11.31

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

Learn more about experimental probability at:

https://brainly.com/question/8652467

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

1. Since triangle ABC and DEF are congruent, the value of x is -3

2. length AB = 24

length DE = 24

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE

therefore;

12- 4x = 15-3x

collect like terms

12 -15 = -3x +4x

x = -3

therefore the value of x is -3 and

AB = 12 - 4x

AB = 12 -4( -3)

AB = 12 +12 = 24

DE = 15-3x

= 15-3(-3)

= 15 + 9

= 24

learn more about congruent triangles from

https://brainly.com/question/2938476

#SPJ1

Given:An archer shoots an arrow straight upward with an initial velocity of 128ft/sec from a height of 9ft, then its height above the ground in feet at time t in seconds is given by the function h(t) = −16t² + 128t + 9.

We need to determine the maximum height reached by the arrow and how long does it take for the arrow to reach the ground?We know that the arrow will reach its maximum height when the velocity of the arrow becomes zero.Maximum height:When the arrow reaches maximum height, velocity v = 0Hence, -16t² + 128t + 9 = 0Solving for t: ⇒ -16t² + 128t + 9 = 0 ⇒ -16t² + 144t - 16t + 9 = 0 ⇒ -16t(t - 9) - 1(t - 9) = 0 ⇒ (t - 1/16)(-16t - 1) = 0Thus, t = 1/16 sec (ignore the negative value)So, maximum height reached by the arrow is h(1/16) = -16(1/16)² + 128(1/16) + 9 = 17 ftTherefore, the maximum height reached by the arrow is 17 ft.How long does it take for the arrow to reach the ground?When the arrow reaches the ground, the height of the arrow will be zero.Hence, h(t) = 0 = -16t² + 128t + 9Solving for t: ⇒ -16t² + 128t + 9 = 0 ⇒ -16t² + 144t - 16t + 9 = 0 ⇒ -16t(t - 9) - 1(t - 9) = 0 ⇒ (t - 1/16)(-16t - 1) = 0So, t = 9 sec (ignore the negative value)Therefore, it takes 9 seconds for the arrow to reach the ground.

to know more about velocity visit:

https://brainly.in/question/11504533

#SPJ11

The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

To know more about null and alternative hypotheses:

https://brainly.com/question/33444525

#SPJ11

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)

Answer:

4294967293 dots

Step-by-step explanation:

Figure 1 has 5 dots.

Figure 2 has 13 dots.

Figure 3 has 29 dots.

Subtract and find different of each term:

Let \(\displaystyle \large{b_n}\) be sequence of difference (and the sequence appears to be geometric.)

So for \(\displaystyle \large{b_n}\), find the common ratio which is 2.

Hence, \(\displaystyle \large{b_n = 8(2)^{n-1}}\) - recall geometric sequence formula below:

\(\displaystyle \large{a_n = a_1r^{n-1}}\)

The sequence of difference \(\displaystyle \large{b_n=8(2)^{n-1}}\) can be simplified to:

\(\displaystyle \large{b_n=2^3(2)^{n-1}}\\\displaystyle \large{b_n=2^{n+2}}\)

Now to find the original sequence:

\(\displaystyle \large{a_n = a_1 + \sum_{k=1}^{n-1}b_k}\)

Hence:

\(\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\)

Recall:

\(\displaystyle \large{\sum_{k=1}^{n-1} a_1r^{n-1} =a_1\left( \dfrac{1-r^{n-1}}{1-r}\right)}\)

Therefore:

\(\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{1-2}\right)}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{-1}\right)}\\\\\displaystyle \large{T_n=5+8(-1+2^{n-1})}\\\displaystyle \large{T_n=5-8+8(2)^{n-1}}\\\displaystyle \large{T_n=2^{n+2}-3}\)

Therefore, the sequence for 5,13,29 is \(\displaystyle \large{2^{n+2}-3}\).

Therefore, in figure 30:

\(\displaystyle \large{T_{30}=2^{30+2}-3}\\\displaystyle \large{T_{30}=2^{32}-3}\\\displaystyle \large{T_{30}=4294967293}\)

Therefore, there are 4294967293 dots in figure 30

The statement that's true about the triangle is that WXY + YXZ = 180°.

It should be noted that in the question, the options are related to a linear pair.

According to the linear pair, when a line cuts another line at a point, then the sum of the adjacent angles formed at the point will be 180°.

Therefore, WXY + YXZ = 180°.

The correct option is C.

The complete question is:

Which statement regarding the diagram is true?

m∠WXY = m∠YXZ

m∠WXY < m∠YZX

m∠WXY + m∠YXZ = 180°

m∠WXY + m∠XYZ = 180°

Learn more about triangles on:

brainly.com/question/4001545

#SPJ1

Answer:

2x^2+4x^2+11x

Step-by-step explanation:

The original temperature of the hydrogen gas was approximately 90°C.

To find the original temperature of the hydrogen, we can use the ideal gas law equation, which states that the product of pressure (P), volume (V), and temperature (T) is proportional to the number of moles (n) and the gas constant (R). Mathematically, it can be represented as PV = nRT.

In this scenario, the pressure and volume of the hydrogen remain constant, and we need to find the original temperature (T1). We can set up the following equation:

(P1)(V1) / T1 = (P2)(V2) / T2

Where:

P1 and P2 are the initial and final pressures, respectively.

V1 and V2 are the initial and final volumes, respectively.

T2 is the final temperature (140 degrees Celsius).

V2 is the final volume (90.0 L).

Rearranging the equation to solve for T1, we get:

T1 = (P1)(V1)(T2) / (P2)(V2)

Plugging in the given values:

T1 = (P1)(V1)(T2) / (P2)(V2)

T1 = (1 atm)(58.0 L)(140°C) / (1 atm)(90.0 L)

T1 ≈ 90.44°C

Learn more about equations:

https://brainly.com/question/29538993

#SPJ11

The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".

A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.

The equation is,

y=4x

x+y=-20

x+4x=-20

5x=-20

x=-4

y=-4*4

y=-16

(x,y)=(-4,-16)

According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).

To know more about equation,

https://brainly.com/question/10413253?referrer=searchResults

#SPJ1

Step-by-step explanation:

\(v = \frac{4}{3} \pi {( \frac{19}{2} )}^{3} \\ v = \frac{4}{3} \pi \: 857.375 = 3591.364 \\ = 3591.4 \: {cm}^{3} \)

Answer:

It is a good idea to choose a breakfast that includes a variety of healthy and nutritious foods to fuel your body and mind.

Step-by-step explanation:

It is important to eat a healthy and balanced breakfast to start your day off on the right foot. Some good options for breakfast include whole grain toast with eggs and avocado, oatmeal with fruit and nuts, or a smoothie with yogurt and berries. It is also a good idea to include a source of protein in your breakfast, such as eggs, Greek yogurt, or nuts, to help keep you feeling full and satisfied. Ultimately, the best breakfast for you will depend on your personal preferences and dietary needs. It is a good idea to choose a breakfast that includes a variety of healthy and nutritious foods to fuel your body and mind.

Answer: Eggs

Extra: Bacon

Drink : Milk/OJ

Answer:

10

Step-by-step explanation:

The sum of exterior angles for any polygon is 360.

so first add up all the given exterior angle:

30+35 = 65.

next, find all the exterior angles that you can find:

Exterior angle = 180-interior angle

so:

180-90 = 90

180-135 = 45

180-120 = 60

180-90=90

These are all that we can find.

now add these to 65:

90+45+60+90+65 = 350

To find x, subtract 350 from 360, which is the sum of exterior angles.

360-350 = 10

Hope this helps

Good Luck

Answer:

10°

Step-by-step explanation:

30°+35°+90°+90°+(180°-120°)+(180°-135°)+x=360°

350°+x=360°

x=10°

see attached for all internal and external angles (the one with 155 should read 145)

Answer:

800,000,000

Step-by-step explanation:

Step-by-step explanation:

\( - 2 - - 5 \\ \)

\( \div - 3 - - 3\)

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

When using ANOVA procedures, the research hypothesis is: there is no significance difference within the mean values of the groups.

ANOVA procedure compares the mean values of different groups that are administered with treatments. The research hypothesis, such as the null hypothesis would be stated as: no significance difference in the mean values within the groups.

Thus, we can conclude that the research hypothesis when using the ANOVA procedures can be stated as a null hypothesis, which states that: there is no significance difference within the mean values of the groups.

Learn more about research hypothesis on:

https://brainly.com/question/20700422

#SPJ12