What’s the answer?????20 points!!!!

[tex]\displaystyle \int \dfrac{dx}{5x^2 -10x +15}\\\\\\=\displaystyle \int \dfrac{dx}{5(x^2-2x+3)}\\\\\\=\dfrac 1 5 \displaystyle \int \dfrac{dx}{x^2-2x+3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{x^2 -2x +1^2 -1 +3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{(x-1)^2+2}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{du}{u^2 +\left(\sqrt 2 \right)^2}~~~~~~~~~;[x-1 =u \implies dx = du]\\\\\\\\[/tex]

[tex]=\dfrac 1 {5\sqrt 2} \tan^{-1} \left( \dfrac u{\sqrt 2}\right)+C~~~~~~;\left[\displaystyle \int \dfrac{dx}{a^2 +x^2} = \dfrac 1a \tan^{-1} \left( \dfrac xa \right) +C\right]\\\\\\=\dfrac{1}{5\sqrt 2} \tan^{-1} \left( \dfrac{x-1}{\sqrt 2}\right)+C[/tex]

Beth salary in 14 years would be $62900.

Simple interest is the borrowing amount added only to the principal amount.

Given, Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year.

To find the interest rate:

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100 ,

Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.

And according to the question,

P = 37000, T = 14 years and R = 5%

Substituting all the values to the formula,

S.I. = P x T x R / 100

S.I. = 37000 x 14 x 5 / 100

      = 25900

Beth final salary = principal amount + interest rate

                           = 37000 + 25900

                          = 62900

Therefore, Beth salary after 14 years is $62900.

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Answer:

[tex](x+2)^2+(y-9)^2=[/tex] 90

Step-by-step explanation:

The centre is (-2,9) so the first part of the equation will be (x+2)^2 + (y-9)^2 and to get the second half, you know the point on the circle which you can use to find the radius. So the triangle formed would be 3 long, 9 high and using Pythagoras you can do:

[tex]3^2+9^2=r^2[/tex]

9+81= [tex]r^2\\[/tex]

90 = [tex]r^2[/tex]

and this equation ends with r^2 so you can substitute that back into the equation so together it will be

[tex](x+2)^2+(y-9)^2=[/tex] 90

Answer:

255cm²

Explanation:

To find the area of the triangle we must us a formula which is base x height ÷ 2 divide. So on the left side it is 17 cm and on the right without the triangle it is 10 so the triangle is 7cm tall. Next on the bottom without the triangle it is 22 and with it is 12 so the base is 10 now we multiply them which will be 70 then divide it by 2 which is 35cm².

And dont forget the squared!!

Answer:

C Cos32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

P=2(l+w)=2·(1+3)=8 The length was 1 and the width was 3.

Answer:

0.5656854249

Step-by-step explanation:

1000(0.0128/200)

1000(0.11314/200)

1000(0.0005656854)

=0.5656854249

The value of x in the triangle ABC is 25.

The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.

The exterior angle of the triangle is given as m∠ACD = 5x.  

The sum of angle in a triangle is equals to 180 degrees. Therefore,

3x + 50 + (180 - 5x)  = 180

3x + 50 - 5x + 180 = 180

3x - 5x + 50 + 180 = 180

-2x + 230 = 180

subtract 230 from both sides

-2x + 230 - 230 = 180 - 230

-2x = -50

divide both sidesby -2

-2x / -2 = -50 / -2

x = 25

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Answer:

so what should we do?!?!?!?!¡!?!

Answer:

T = 2

Step-by-step explanation:

Take the given formulaer

I = PRT

And plug in the variables you know (I, P, R)

387.50 = 1,550(.125)T

(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)

387.50 = 193.75T

T = 2

Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

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Answer: Okay, so you probably already know this but,

The mean - is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number.

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Step-by-step explanation:

In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.

hope this helps you!!

Answer:

One of the many examples is {0, 0, 0, 0, 0}

Step-by-step explanation:

The mean is the average of a data set.
The median is the number in the middle (or between the 2 middle numbers) of a data set that is placed from least to greatest.
The mode is the value that shows up the most times in the data set.

A few examples of a set with the same mean, median, and mode could be any number repeated in a data set:
{0, 0, 0, 0, 0}
This would work because the mean is 0, the median is 0, and the mode is 0.

Answer:

What culture is your piece of art from?

Italian Renaissance

Why did you choose this piece?

Beacuse its a beautiful piece of artwork made by one of my favorite artist.

Step-by-step explanation:

Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.

Answer:

.C ,375

I HOPE THIS helps  i just know i got connect shons

Answer:

He generates a random whole number from 1 to 3.

Step-by-step explanation:

Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.

Answer:

[tex]\displaystyle 21 \approx c[/tex]

Explanation:

Solving for Angles

[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]

Do not forget to use [tex]\displaystyle arccos[/tex] or [tex]\displaystyle cos^{-1}[/tex]towards the end, or the result will be thrown off.

Solving for Edges

[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]

Take the square root of the result in the end, or you will throw yourself off.

Well, let us get to work:

[tex]\displaystyle 13^2 + 29^2 - 2[13][29]cos\:41 = c^2 \\ 169 + 841 - 754cos\:41 = c^2 \\ 1010 - 754cos\:41 = c^2 \\ \\ \sqrt{440,94897651...} = \sqrt{c^2} \\ 20,99878512... = c \\ \\ \boxed{21 \approx c}[/tex]

I am joyous to assist you at any time.

Answer:

C is true

Step-by-step explanation:

The only true answer is C.

If a is 2 times greater than b, then:

A. is not possible because both sides are equal

B. is not possible because b is 2 times greater

D. is not possible because both sides are equal

Answer:

1.33

Step-by-step explanation:

2.87349 rounded to the nearest thousandth is 2.873 because the number next to it (4) is less than 5.

1.54324 rounded to the nearest thousandth is 1.54324 is 1.543 because the number next to it (2) is less than 5.

Then you do 2.873 - 1.543 and that = 1.33. So 1.33 is your final answer :)

Answer:

0.5

Step-by-step explanation:

An equation is written as :

Taking the first row data (x = 2, y = 1),

Answer:

Option A, 0.5

Step-by-step explanation:

Step 1:  Determine the slope/proportionality

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Slope = \frac{1.5-1}{3-2}[/tex]

[tex]Slope = \frac{0.5}{1}[/tex]

[tex]Slope =0.5[/tex]

Answer:  Option A, 0.5

Answer:

8f-14g is the answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\text{All other options contain rational numbers, such as} ~\sqrt{36} , \sqrt{25}, \sqrt{16}[/tex]

Fraction are ratio of two integers. It will take Amen 20 days to do the task alone

From the given question, we have the following information

Let the number of days Amen can take to complete a task be x

If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x

If they both pick up a task together, and complete it in 5 days, then;

1/x + 1/3x = 1/5

Find the LCM
3+1/3x = 1/5

4/3x = 1/5

Cross multiply

3x = 20

Determine the time taken by Amen:

x =20/3

This shows that it will take Amen 20 days to do the task alone

Learn more on proportions here: https://brainly.com/question/19994681

Answer:

Area = 48.6 in²

Explanation:

The area of the triangle can be calculated using the side-angle-side method as follows:

Area = 0.5 * first side * second side * sin(angle included between the two sides)

This rule is illustrated in the attached image.

Now, we have:

first side = 13 in

second side = 7.5 in

The angle included between the two sides = 94 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.

Area of triangle = 0.5 * 13 * 7.5 * sin(94)

Area of triangle = 48.63 which is approximately 48.6 in²

Hope this helps :)

Answer:

947393

Step-by-step explanation:

Answer:

A) 5

Step-by-step explanation:

distance = √(distance between x coordinates² + distance between y coordinates²)

the horizontal distance between the two points is 4

the vertical distance between the two points is 3

to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P

distance = √(4²+3²) = √25 = 5

Answer:

1. you will multiply base times height:

16m * 12m = 192 sq m

2. same steps but just multiply it by two because its "twice as long"

18 cm * 6 cm = 108 * 2= 216

3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24

4. same steps like in question 1:  

12 * 5 = 60

5. same steps like in question 1:

7 * 10 = 70

Step-by-step explanation:

hope this helps and have a great day!! :)

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

Step-by-step Solution:

Let the "?" be known as "x".

Given equation:

3/5 = 24/40 = x/60

Therefore, we obtain the following equations:

Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.

Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.

Determining the "x" variable in Equation 2:

Determining the "x" variable in Equation 3:

Therefore, the value of "?" is 36.

Answer:

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1

Answer: 3/20

Step-by-step explanation:

Inital Equation:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{6}{1}[/tex]

Find the Recipricol of 6/1:

It's: 1/6

Multiply the Recipricol of 6/1 (1/6) by 9/10

9/10 x 1/6 = 9/60

Simplify

9/60 = 3/20

Answer: 3/20