iven the following velocity function of an object moving along a line: find the position function with the initial position s(0) = 0. Then graph both the velocity and position functions. v(t) = 4t + 5.

Answer:

AC + CB < AB

Answer:

AC + CB < AB

Step-by-step explanation:

The indefinite integral, \(\int {sin(9x)} \, dx\) = \(\frac{-1}{9} cos(9x) + C\)

We have to find the indefinite integral,

    \(\int {sin(9x)} \, dx\)

using the substitution 9x = u.

So we need to change the variable of integration from x to u using this substitution.

9x = u ⇒ 9 dx = du

So   \(\int {sin(9x)} \, dx\) = \(\frac{1}{9} \int{sin(u) \ du\)

                          = 1/9 (- cos(u)) + C,   [ Since integral of sin(u) = -cos(u) ]

where C is the integration constant which is often put when evaluating indefinite integrals.

Now replacing u with x to get the final answer,

1/9 (- cos(u)) + C = -1/9 cos(9x) + C

Therefore,   \(\int {sin(9x)} \, dx\) = \(\frac{-1}{9} cos(9x) + C\)

The question is incomplete. Find the complete question below:

Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form.   \(\int {sin(9x)} \, dx\), 9x = u.

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The tangents of the acute angles in the right triangle are tan(A) = 7√2/8 and tan(B) = 4/7√2

From the question, we have the following parameters that can be used in our computation:

Leg 1 = 7

Leg 2 = 4√2

Hypotenuse = 9

The acute angles in the triangle are B and A

The trigonometric ratio for tan A is represnted as

tan(A) = Opposite/Adjacent

Substitute the known values in the above equation, so, we have the following representation

tan(A) = 7/4√2

So, we have

tan(A) = 7√2/8

For the other angle, we have

tan(B) = 4/7√2

Hence, the solution is tan(B) = 4/7√2

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We have that the equation for this is

So we have that the length of one side of the figure is

So the answer is that one side of the figure have a length of 15.

The pitch of the roof is 0.3.

Pitch:

The pitch can be expressed numerically as a fraction. The pitch fraction represents a certain amount of vertical rise over the entire span.

Here it is given that the rise in the roof is 3.6m and a rum of 12m,

We have to find the pitch of the roof.

As is already given in the statement that the slope of a roof is called its pitch.

By this we get the slope:

Slope = 3.6/12

= 3/10

= 0.3

Therefore we get the pitch of the roof at 0.3.

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Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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Answer:

22

Step-by-step explanation:

Simplify the expression

Answer:

6n+12z

Step-by-step explanation:

then we got this bc we do like terms so 6n from 2 x3n then 12z bc 2x6

Based on the given information, it is unclear what type of data transformation has been performed. It is difficult to determine whether the technical condition of having approximately equal population standard deviations across each group has been satisfied.

However, if the data transformation has not significantly altered the standard deviations of the original data, then it is possible that this technical condition has been met. A statistical test, such as Levene's test, can be used to assess whether the assumption of equal variances has been violated. If the p-value from this test is greater than the significance level (e.g., 0.05), then we can conclude that there is no evidence to suggest that the population standard deviations are significantly different between groups.

Overall, without more information about the type of data transformation and the results of statistical tests, it is difficult to definitively state whether the technical condition has been satisfied on the transformed data.

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To solve the following equation

We have a coefficient equals to zero, then this term is going to vanish. We stay with the following equation:

If we subtract 2 from both sides, we're going to get the value for 'x'.

And this is the solution for the equation. x = 1.

Answer:

Step-by-step explanation:

Well, slope intercept form is y = mx + b

A good way to find the slope is (y2 - y1)/(x2 - x1)

So, (-1 - 4)/(0 - -2) = (-5)/(2) = -5/2 or -2.5

y = -2.5x + b

b is for the y unit when the line crosses the x axis. Therefore, b = -1.

y = -2.5x -1

The volume of the solid is 2160ft^3

Volume of Cuboid is the multiplication of length breath and height.

We know that, Volume of Cuboid = l×b×h

put the given values from figure,

= 12×10×15

=1800ft^3

Volume of top = Area of triangle × length

= 1/2 × 4× 12× 15

=360ft^3

Total volume= 1800 + 360

= 2160ft^3

Therefore, the volume of the solid is 2160ft^3

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Cuboid: According to the question the volume of the solid is \(2160ft^3\).

A cuboid is a three-dimensional geometric shape which is composed of six rectangular faces. It has 12 edges and 8 vertices. It is also referred to as a rectangular prism. The three dimensions of a cuboid are its length, width, and height. The cuboid is a versatile shape that can be used in many different ways and can be seen in everyday objects such as boxes, desks, and bookshelves. It is also a common shape for mathematically-based problems such as calculating the volume of a cuboid.

We know that, Volume of Cuboid = l×b×h
put the given values from figure,
= 12×10×15
=\(1800ft^3\)
Volume of top = Area of triangle × length
= 1/2 × 4× 12× 15
=\(360ft^3\)
Total volume= 1800 + 360
= \(2160ft^3\)
Therefore, the volume of the solid is \(2160ft^3\)

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If we transform \(\triangle ABC\) to \(\triangle A'B'C\), the rule applied is \((x,y) \to (2x,2y -14)\)

Answer:

36

Step-by-step explanation:

to answer this question :

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12)  = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times

Probability of drawing a club.

The question asks for the probability of drawing a club from a deck of 52 cards, which are divided equally into four suits. Since one suit is the club, there are 13 club cards in the deck.

The probability of drawing a club is calculated by dividing the number of club cards by the total number of cards in the deck. Therefore, the probability of drawing a club from a standard deck of 52 playing cards is 13/52, which simplifies to 1/4 or 0.25.

This means that there is a 25% chance of drawing a club from a deck of cards.

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Answer:

180

Step-by-step explanation:

divide Macy's total by 23. you get 15.

then multiply the 15 by the 12 votes Carl gets.

giving me 180 votes for Carl.

Answer:

x = 60

Step-by-step explanation:

That square on the angle means 90 degrees so since the other angle is 30 that means x has to be 60

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\(\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4} (cm)\)

5. So side EBC has area  

\(\frac{1}{2}BC*EM= \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}\)

6. The total area is 8*Area(EBC)=\(8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )\)

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

-3n + 3 > -11

-3n > -14

3n < 14

n < 14/3

14/3 = 4.66666666...

the only positive integers that are smaller than 4.666666... are

4, 3, 2, 1

their sum is

4+3+2+1 = 10

The pearson's coefficient of skewness is found as the 1.065.

Pearson skewness:

The skewness of the a data set is calculated by subtracting the mean from the median and dividing by the standard deviation.

In this case:

The mean is 95, the median is 77, as well as the standard deviation is 16.9. So,

Pearson skewness = (95 - 77)/16.9

Pearson skewness = 1.065.

Thus, the pearson's coefficient of skewness is found as the 1.065.

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The incorrect statement is "In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown then the test statistic is z, corresponding to the normal distribution." Therefore, option (d) is an incorrect statement.

A statistical hypothesis in which there is no relationship between two variables (or a set of variables) is called a null hypothesis.

A statistical hypothesis that states that there is a significant two variable (or set of variables) is called an Alternative Hypothesis.

A test statistic is a statistic used in statistical hypothesis testing.

A hypothesis test is typically specified in terms of a test statistic.

The statement in option (a) is correct, that is, if we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.

The statement in option (b) is correct, that is, in conducting a hypothesis test about the population proportion p, the test statistic is z.

The statement in option (c) is correct, that is, consider the following hypotheses:

H0: p≤0.3 against H1: p>0.3.

This requires a one-tailed test because the alternative hypothesis has a greater than sign.

The statement in option (d) is incorrect. In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, then the test statistic is t, not z. The t-distribution is used when the population standard deviation (σ) is unknown.

The statement in option (e) is correct, that is, if we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis is true.

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The statement that is incorrect is (d).

In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, the test statistic is t, corresponding to the Student's t-distribution, not z-distribution. The z-test is used when the population standard deviation is known.

The statement in option (a) is correct, that is, if we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.

The statement in option (b) is correct, that is, in conducting a hypothesis test about the population proportion p, the test statistic is z.

The statement in option (c) is correct, that is, consider the following hypotheses:

H0: p≤0.3 against H1: p>0.3.

This requires a one-tailed test because the alternative hypothesis has a greater than sign.

The statement in option (d) is incorrect. In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, then the test statistic is t, not z. The t-distribution is used when the population standard deviation (σ) is unknown.

The statement in option (e) is correct, that is, if we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis is true.

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Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

Answer:

Wish I can help. But I really couldnt solve it. Sorry :(

Step-by-step explanation: