What is the answer to ...8.42 x 9

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

$137.50

Step-by-step explanation:

82.50 divided by 15 gives you $5.50

Then you would multiply that by 10 and you would get $55.00

Last all you have to do is add $82.50 and $55.00 and you get $137.50

Answer:

934

Step-by-step explanation:

I just took the k12 quiz

Answer: 5

Step-by-step explanation:

these two triangles are a dilation of each other. triangle QRS is a dilation of triangle ABC times two

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

3.8

Step-by-step explanation:

3*60=180

180+48=228

228/60=3.8

Answer:

The angle measures from least to greatest are 30°, 30° and 120°.

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

Given the ratio of the interior angles of a triangle is 1 : 1 : 4 then:

x + x + 4x = 180°

Solve the equation for x:

⇒ 6x = 180°

⇒ x = 30°

Therefore, the angle measures are:

So the angle measures from least to greatest are 30°, 30° and 120°.

Answer:

30 , 30 , 120 .

Step-by-step explanation:

Given :

To find :

Solution :

As we know that the angle sum property is 180° , that is the sum of all the interior angles is 180° .

Let us take the given ratio to be 1x:1x:4x .

Sum of these= 1x + 1x + 4x = 6x .

So we can create a equation as ,

==> 6x = 180°

==> x = 180°/6

==> x = 30°

Now we can find the angles as ,

Hence the angles of the triangle are 30° , 30° and 120° .

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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P = 46.40°

Step-by-step explanation:

Since this is right triangle where all the sides are known we can use either sine, cosine or tangent of the angle to solve for P. Let use sine:

sin P = opp/hyp

= 21/29

or

P = arcsin(21/29) = arcsin(0.724)

= 46.40°

To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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Step-by-step explanation:

L.H.S

tanA * cosecA

=sinA/cosA * 1/sinA

now cancel sinA and sinA

then,

1/cosA

= secA

= RHS

hence proved

x = oz of 100% acid

y = oz of 4% acid

the first solution is 100% acid, if the amount of ounces in it is "x", how much only acid is there?  well, (100/100) * x = 1.0x.

likewise, how much only acid is there in the 4% solution?  well, (4/100) * y = 0.04y.

\(\begin{array}{lcccl} &\stackrel{\stackrel{oz}{solution}}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of acid }}{amount}\\ \cline{2-4}&\\ \textit{first solution}&x&1.00&1.0x\\ \textit{second solution}&y&0.04&0.04y\\ \cline{2-4}&\\ mixture&480&0.08&38.4 \end{array}~\hfill \begin{cases} x+y=480\\\\ x+0.04y=38.4 \end{cases}\)

\(x+y=480\implies y=480-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{x+0.04(480-x)=38.4} \\\\\\ x+19.2-0.04x=38.4\implies 0.96x+19.2=38.4\implies 0.96x=19.2 \\\\\\ x=\cfrac{19.2}{0.96}\implies \boxed{x=20}~\hfill \boxed{\stackrel{480-20}{y=460}}\)

Answer:

above sea level

Step-by-step explanation:

If the probability of a dancing lady accepting an invitation to dance is 0.18.The accepted number of ladies asked before is 7.14 .

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

According to the above discussion:

P{x(bar) (0.18)} = 0.07142371

                       = 7.14%

Therefore, the expected number is 7.14%.

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Answer:

1 gallon = 3.7869 Liter (Approx)

Step-by-step explanation:

Given:

1 liter = 33.8 ounces

1 gallon = 128 ounces

Find:

How many liters are in a gallon

Computation:

1 ounces = [ 1 / 33.8 ] liter

1 gallon = 128 ounces

1 gallon = 128 [1 / 33.8]

1 gallon = 3.7869 Liter (Approx)

Answer:

TR is the smallest side.

RS is in the middle.

ST is the largest side.

Step-by-step explanation:

Angle R is the biggest angle, so it is opposite from the biggest side (not R) side ST.

Angle S is the smallest angle so it is opposite from the smallest side (not S) side TR.

The third angle is in between, so the opposite side is in between.

Answer:

45 pound plate = 4

10 pound plate = 8

Step-by-step explanation:

x = 45 pound plate

y = 10 pound plate

x + y = 12 - - - (1)

45x + 10y = 260 - - (2)

x = 12 - y

45(12 - y) + 10y = 260

540 - 45y + 10y = 260

540 - 35y = 260

-35y = 260 - 540

-35y = - 280

y = 280 / 35

y = 8

x = 12 - y

x = 12 - 8

x = 4

Answer:

3

Step-by-step explanation:

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

The limits are given as follows:

\(\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0\)

\(\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty\)

Hence, the correct statement is:

Horizontal asymptote at y = 0.

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Under a majority system, if a political party wins 39% of the vote, they would likely not win a majority of the seats. They would likely win a proportionate number of seats based on their percentage of the vote.

Under a proportional representation system, a political party winning 39% of the vote would have their seat share be 39% as well.

In a majority system, the candidate or party that wins the most votes in a particular district is awarded the seat for that district. This can lead to a situation where a party that receives a minority of the overall vote can still end up with a majority of the seats if they win a majority of the districts.

On the other hand, proportional representation systems aim to ensure that the number of seats a party receives is proportional to the number of votes they receive. This means that a party that receives 39% of the vote would be awarded 39% of the seats. This system can be considered more fair as it ensures that a party's representation in the government is directly proportional to the number of votes they received.

In summary, both system have their own advantages and disadvantages, majority system can lead to a more stable government with clear majority but can be less representative of the popular will, while proportional system can be more representative but can lead to a more fragmented government with more coalition building.

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The value of ∫ (x + 1)/(9x² + 6x + 5) dx by partial fractions is 1/18ln(9x² + 6x + 5) + 1/9 (tan^-1 (3x+1)/2)

Given ∫ (x + 1)/(9x² + 6x + 5) dx

Discriminant of is 9x² + 6x + 5 is

                                 D = 6² - 4 x 9 x 5 = - 144 < 0

So, 9x² + 6x + 5 cannot be factorized in rational factors

Observing that differential of 9x² + 6x + 5, let us split (x + 1)/(9x² + 6x + 5) as (18x + 18)/18(9x² + 6x + 5)

or (18x + 6)/18(9x² + 6x + 5) + (12)/18(9x² + 6x + 5)

So, (x + 1)/(9x² + 6x + 5) = (18x + 6)/18(9x² + 6x + 5) + (12)/18(9x² + 6x + 5)

∫ (x + 1)/(9x² + 6x + 5) dx = ∫ (18x + 6)/18(9x² + 6x + 5) dx + ∫ (12)/18(9x² + 6x + 5) dx

= 1/18∫ (18x + 6)/(9x² + 6x + 5) dx + 2/3∫ 1/(9x² + 6x + 5) dx

Let us integrate the first part and assume u = 9x² + 6x + 5

then, du = (18x + 6) dx

So, 1/18∫ (18x + 6)/(9x² + 6x + 5) dx = 1/18∫ 1/u du

                                                         = 1/18 lnu

                                                         = 1/18ln(9x² + 6x + 5)

For second part, 2/3∫ 1/(9x² + 6x + 5) dx, we will use

                     ∫ dx/(x² + a²) = 1/a tan^-1(x/a) +c

For this converting denominator into the sum of two squares, we get

    2/3∫ 1/(9x² + 6x + 5) dx = 2/27∫ 1 / ((x + 1/3)²+(2/3)²) dx

Let us now substitute u = x + 1/3 and as du = dx

so, 2/27∫ 1 / ((u)²+(2/3)²) dx = 2/27 (3/2 tan^-1 (3u/2))

                                            = 1/9 (tan^-1 (3(x+1/3)/2))

                                            = 1/9 (tan^-1 (3x+1)/2)

Hence,∫ (x + 1)/(9x² + 6x + 5) dx = 1/18ln(9x² + 6x + 5) + 1/9 (tan^-1 (3x+1)/2)

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Answer:

Step-by-step explanation:

y=652/4

convert decimal to a fraction

46/125=5

multiplying by both sides of the equation by 125/4

y=652/4 = 156 1/4

Answer:

4a+4

Step-by-step explanation:

12a+8-8a-4

4a+4

Answer:

4(a+1)

Step-by-step explanation:

Need to expand first

= 12a + 8 - 8a - 4

Group like terms

= 12a - 8a + 8 - 4

Solve

= 4a + 4

Can factorize

= 4(a + 1)

Answer:

D. 7

Step-by-step explanation:

\( \frac{ \sqrt{196} }{\sqrt{4} } \\ \)

\( \frac{14}{2} \)

=7

Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

Answer:

115.395 min

Step-by-step explanation:

First we find the volume of 6 cm of water. We use the formula:

\(\pi *radius^2 *height\)

\(\pi *35^2*6 = 23,079 cm^3\)

1 L/min = 1000 cm^3 / min

0.2 L/min = 200 cm^3 /min

\(\frac{23,079}{200} = 115.395 min\)

Answer:

Thanks for the points! <3