Evaluate each indefinite integral. SHOW STEPS

Answer:

I got -1 31/33

Step-by-step explanation:

Answer:

please see picture above

Answer:

y=-6x-60

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,-6) and has a slope of -6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -6. So you can right away fill in the equation for a line somewhat to read:

y=-6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,-6). When x of the line is -9, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,-6).

So, why not plug in for x the number -9 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,-6). y=mx+b or -6=-6 × -9+b, or solving for b: b=-6-(-6)(-9). b=-60.

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

Learn more about Area of Parallelogram here:

https://brainly.com/question/9148769

#SPJ6

As a result, we have demonstrated that it is always possible to remove 88 numbers from a 100-digit integer while keeping the remainder divisible by 101.

If a number has an even number of numbers, add the very first digit and deduct the last character from the remainder. 3784 can be divided by 11 thus. Subtract the initial and final numbers from the remainder of the number if the amount of digits is unusual. 82907 can be divided by 11 thus.

Let the 100-digit number be represented by:

a₁a₂a₃...a₉₉a₁₀₀

where each \(a^{i}\) is a non-zero digit.

We can represent this number as the sum of its digits multiplied by powers of 10:

N = a₁ × 10⁹⁹+a₂ × 10⁹⁸+a₃ × 10⁹⁷+...+a₉₉ × 10¹+a₁₀₀ × 10⁰

We want to show that we can delete 88 of the digits of this number to obtain a new number that is divisible by 101. Let's consider the remainders of N when divided by 101:

N = a₁ × (-1)⁹⁹+a₂ × (-1)⁹⁸+a₃ ₓ (-1)⁹⁷+...+a₉₉ ₓ (-1)¹+a₁₀₀ ₓ (-1)⁰(mod 101)

N = (-a₁+a₂-a₃+...+a₉₈-a₉₉)+(a₉₉-a₁₀₀)(mod 101)

Finding a subgroup of 12 numbers from this number whose total is divisible by 101 is our goal. We can apply the Pigeonhole Principle since we only need to locate 12 of the 100 numbers.

The 100 numbers should be divided into 12 sets of 9 digits each (except for the last group which contains 4 digits). The total of the numbers in at least one of these categories must be divisible by 101 according to the Pigeonhole Principle.

Let's assume that the total of the i-th group is 101-divisible. We can eliminate all of the numbers from the other 11 groups and only retain the digits from group i. This will result in a 9-digit number whose total is divisible by 101 and whose numbers are all non-zero.

Once we have nine groups that give us 9-digit numbers with sums that are all divisible by 101, we can continue this procedure an additional eight times by choosing another group with a sum that is divisible by 101.

Then, by adding these 9 numbers together, we can create an 81-digit number with non-zero digits and a total that is divided by 101. By adding 7 non-zero numbers at the conclusion, this number can be made into an 88-digit number.

To know more about Divisible visit:

https://brainly.com/question/29373718

#SPJ1

Applying trigonometric ratios, the missing segments lengths in the image attached below are: a = 8√3; b = 12.

Given the right triangle in the mage attached below, we would find the missing sides as follows:

Find a:

Reference angle (∅) = 30°

opposite = 4√3

hypotenuse = a

sin 30 = (4√3)/a

a = (4√3)/sin 30

a = (4√3)/(1/2) (sin 30 = 1/2)

a = (4√3)×2

a = 8√3

Find b:

Reference angle (∅) = 60°

opposite = b

adjacent = 4√3

tan 60 = b/(4√3)

b = tan 60 × 4√3

b = √3 × 4√3

b = 12

Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: a = 8√3; b = 12.

Learn more about trigonometric ratios on:

https://brainly.com/question/4326804

Answer: electricity can be used to create magnetism

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

(clustered around 1 and 3)

Answer:

The data are clustered from 1 to 3, so most teams won 1 to 3 games.

Step-by-step explanation:

There is only 1 dot at 8 and more near 1-3

Answer: B. 135

Step-by-step explanation: 180-45= 135 because all straight angles sum up to 180 (180 rule)

Answer:

\(f(x) =3\,*\,\,4^x\)

Step-by-step explanation:

to find the equation of an exponential function, just points on the function's graph  are needed.

Recall that the exponential function has a general expression given by:

\(f(x) = a \,e^{b\,x}\)

so we impose the condition for the function going through the first point (0,3) as:

\(f(0) = a \,e^{b\,(0)}= 3\\a\,e^0=3\\a\,(1)=3\\a = 3\)

Now,knowing the parameter a, we can find the parameter b using the other point:

\(f(1) = 3 \,e^{b\,x}= 12\\3\,e^{b\,(1)}=12\\e^b=12/3\\e^b=4\\b=ln(4)\)

Therefore, the function can be written as:

\(f(x) = 3 \,e^{ln(4)\,x}=3\,\,\,4^x\)

Answer:

C)

h(x) = 3(4)x

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

For such more question on corresponding

https://brainly.com/question/11853802

#SPJ8

Answer:

27.46 °F

Step-by-step explanation:

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

For more questions on Deviation .

https://brainly.com/question/24298037

#SPJ8

Answer:

you could have something like umm -36 + 30 It also gives the answer as -12 so I guess you could choose any two numbers that add up to -12

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

22 1/2

Step-by-step explanation:

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

The expression for the inequality equation is -2 ≤ x ≤ 2

Given data ,

Let the number line be represented as A

Now , the value of A is

The number -2 and 2 are marked as colored bubbles in the line

So , the inequality states that the marked bubbles is also the solution to the relation and these numbers will be included

And , the inequality relation is given by -2 ≤ x ≤ 2

Hence , the inequality is -2 ≤ x ≤ 2

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

Answer:

The 1st one for the first pic and I'm not sure but c for the 2nd one

Answer:

a and c

Step-by-step explanation:

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

Answer:

A=4 -3 5.3748362

Step-by-step explanation:

Answer:

Step-by-step explanation:

A complex number is a number that contains a real part and an imaginary one .

Mathematical expression : a+bi xhera a and b are real numbers and i the solution of an equation like x²) -1 ..

Answer:a complex number is a number that can be shown in a form a+bi when a and b are real numbers and i is the answer to the equation x^2=-1

Answer:

2

Step-by-step explanation:

We can subtract to find the common difference.

-4 - (-6) = 2

-6 - (-8) = 2

-8 - (-10) = 2

As you can see it is constant.

Best of Luck!

Answer:

S^3+12

Step-by-step explanation:

The big block shows three s then you have to simplify that with 12ft^3

The expression that represents the total volume of the two storage spaces is s³+ 12

The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.

Volume = width x height x length.

Volume of the larger storage space = s x s x s = s³

The total volume of the two storage spaces = s³+ 12

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

\(y=log_{2}x^{3}.(5x^{4}+2)\)

We have to differentiate with respect to x.

y'=xy'+yx'

\(x=log_{2}x^{3}\)

\(y=5x^{4}+2\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

To learn more on Differentiation click:

https://brainly.com/question/24898810

#SPJ1

Answer:

Hey there!

The line can be expressed into y intercept form, y=3x+1.

Thus, in y=mx+b form, m is the slope, and we see that 3 is the slope of the line.

Let me know if this helps :)

Answer:

39V3 Sq.units of that will help you

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

For more ssuch questions on surface area visit:

https://brainly.com/question/16519513

#SPJ8