Solve the Antiderivative.​

Solve The Antiderivative.

Answers

Answer 1
1
∫ -------------------- dx
x² + 6x + 10


1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)


=arctan(x+3) + C

Related Questions

104º
(9y - 5)º
(12x + 2019
Solve for x

Answers

12x+20=104 (vertically opposite angles)

-20 on each side

12x=84

÷12 on each side

x=7

hope that helps^^

Answer:

x = 7.

Step-by-step explanation:

12x + 20 = 104    (Vertical angles are congruent).

12x = 84

x = 7.

Molly Invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. If Molly's total profit on both types of investment was $8,700, how much of the $50,000 did she invest bonds?

Answers

So molly invested 40000x 18%=)7200+
10000x15%=1500.7200+1500=8700

two different ratios equivalent to 6:9

Answers

Answer: 2:3 and 12:18

Step-by-step explanation: Find the multiples of 6 and 9

Answer:

Following are ratios equivalent to 6:9

Step-by-step explanation:

1) 12:18

2)24:36

3)2:3

4)20:30

5)10:15

A) Find the area of the shaded region
ill give you brainliest​

Answers

Answer:

2.0

Step-by-step explanation:

Area of Shaded Region = Area of square – Area of circle

Area of square = 3×3 = 9

Area of circle = π×r² = π×1.5² ≈ 7.068

(radius of circle is half of the side length)

9–7.068≈2.0

Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?

Answers

it would be $11.2 bc if you subtract $12.40 from $23.60 you get $11.2

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

Use distributive property for 3.2= 4/5(b - 5)

Answers

i hope this helps :)

submit your answers in simplest radical form.


help :(

Answers

Answer:

x = 6√2, y = 6

Step-by-step explanation:

This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.

Therefore, you know that y will equal 6.

You have to multiply a by √2 to find x.

6 x √2 = 6√2

Hope this helps!

Answer:

x = 6[tex]\sqrt{2}[/tex]

y = 6

Step-by-step explanation:

in  a 45-45-90 triangle the two legs are equal, so XY = YZ

also, the leg to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]

so x = 6 · [tex]\sqrt{2}[/tex]

Lines m and n are parallel Line m is described by the equation y = 40 +2. Line n contains the point (1, -3). Which of the following is an equation for linen?
A Oy-3= (2+1)
B. Oy+ 3 = 4(x - 1)
M
cOy-3 = 4(2+1)
DOy+3 = (- 1)

Answers

Answer:

B)Oy+ 3 = 4(x - 1)

Equation of the straight line   y +3 = 4( x-1)

Step-by-step explanation:

Explanation:-

Step(i):-

Given that the equation   y = 4x +2

and given that the point (1,-3)

The equation of the parallel line to the given line

                       ax +by +k=0

                       4x-y +k=0

This line is passing through the point (1,-3)

                  ⇒ 4(1) -(-3) +k=0

                  ⇒   4+3 +k=0

                          7 +k=0

                             k =-7

The equation of the Parallel line  4x-y -7 = 0

Step(ii):-

Given that the slope m = 4 and the point (1,-3)

Equation of the straight line

             y - y₁ = m(x-x₁)

             y -(-3) = 4( x-1)

            y +3 = 4( x-1)

h(1) = 9
h(2) = 3
h(n) =h(n − 2).h(12 - 1)
h(3) =

Answers

Answer:

mariana bedoya sanchez

Answer:

27

Step-by-step explanation:

it was right on khan academy

Suppose you want to study the relationship between smoking and cancer. You assume that smoking is a cause of cancer. Studies have shown that there are many factors affecting this relationship, such as the number of cigarettes or the amount of tobacco smoked every day; the duration of smoking; the age of the smoker; dietary habits; and the amount of exercise undertaken by the individual. All of these factors may affect the extent to which smoking might cause cancer. These variables may either increase or decrease the magnitude of the relationship. Which statement is false?

a. In the above example cancer is the dependent variable.
b. In the above example cancer is an independent variable.
c. In the above example the extent of smoking is an independent variable.
d. In the above example all the variables that might affect the relationship between smoking and cancer, either positively or negatively, are extraneous or mediating/moderating variables.

Answers

Answer:

The correct answer is:

In the above example cancer is an independent variable. (b)

Step-by-step explanation:

In order to explain the choice made, let m first explain what independent and  dependent variables are:

Independent variable: An independent variable is a variable that is under the direct control of the experimenter, and can be changed at will. In this example, the number of cigarettes or amount of tobacco smoked is the independent variable because it can be manipulated at will, to determine the outcome of the dependent variable.

Dependent variable: A dependent variable is a variable that the experimenter sets out to study. The independent variable is not under the direct manipulation of the experimenter but has values that come about as a result of the change of the independent variable. In this example, cancer is the dependent variable, because it is the result of the manipulation of the amount of tobacco.

Therefore, it is not true to say that cancer is the independent variable as seen in option b

someone please help me on this ​

Answers

There are many ways to prove this, this is just how I do it. Hope it helps.

find the sum of the term 8ab,- 11ab, 6ab

Answers

Answer:

do you mean 8ab-11ab+6ab

if it is then ur ans is 3ab

Ya it’s 3ab like they said above

Select all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.

After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.

Which statements about this study are true?
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design ​

Answers

Answer:

this study uses random sampling

this study uses a control group

this study uses a repeated measures design ​

Step-by-step explanation:

plato/edmentum

Correct answers bolded and italicized and underlined

the study uses blocking

this study uses random sampling

 this study uses blinding

 this study uses a control group

this study uses a repeated measures design ​

Step-by-step explanation:

no :)

Q10) A book was sold for Rs. 550 with a profit of 10%. What was its cost price? *​

Answers

Answer:

CP = Rs 500

Step-by-step explanation:

Given that,

Selling price of a book, SP = Rs 550

Profit percent = 10%

We need to find the cost price of the book. The formula for profit percent is given by :

[tex]P\%=\dfrac{SP-CP}{CP}\times 100\\\\\dfrac{10}{100}=\dfrac{550-CP}{CP}\times 100\\\\\dfrac{1}{10}=\dfrac{550-CP}{CP}\\\\CP=5500-10CP\\\\CP+10CP=5500\\\\11CP=5500\\\\CP=500[/tex]

So, the cost price of the book is Rs 500.

pls guys tell me the answer pls

Answers

Answer:

Height = 7m

Step-by-step explanation:

Hope that helps!

Answer:

7m

Step-by-step explanation:

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with additional costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?

Answers

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

Answer:

your the one

Step-by-step explanation:

ajhayajsjsusudhdhdhxdhfd


One side, in inches, of a triangle is 5 more than twice a number. If this is an equilateral
triangle, what is the perimeter ?

Answers

Definition of  an equilateral triangle: A triangle with the exact same sides and angles, which is 60°

5 more than twice a number:

Let the number be x:

2x + 5

Since it is an equilateral triangle, multiply that by 3:

3(2x +5) = 6x + 15

The perimeter is (6x + 15) inches.

nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?​

Answers

Answer: Me gusta bailar y dibujar

Step-by-step explanation:

A collection agent earns a fixed amount for each call that he makes, as
shown in the graph below.

If the collection agent makes 11 calls, how much will he earn in total?

Answers

Answer:

The answer is $9.90

Step-by-step explanation:

A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.​

Answers

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

Identify the values of a,b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value.
x^(2)=6(x-8)

A=
B=
C=

THANK YOU SO MUCH

Answers

Answer:

a=1

b= -6

c=48

Step-by-step explanation:

x^2=6(x-8)

x^2=6x-48

x^2-6x+48

a,b are the coefficients of x^2 and x

c is the constant value present

Therefore it is basically written as ax^2+bx+c

and comparing with the answer x^2-6x+48,

a=1, b= -6, c=48

7/8 percent equivalent to the nearest whole percent?

Answers

Answer:

88%

Step-by-step explanation:

7/8 = 87.5%

what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST

Answers

I gochu. Alright as you can see on that graph the y’s maximum height is at 0. y is less than or equal to 0.

Solve for X please show your work

6(x-4)=12

Answers

6*(x-4)=12

6x-24=12
+24 +24

6x=36

^divide both sides by six

x=6

Find the vertex of this quadratic

Answers

Answer:

The vertex is (2,0)

I NEED HELP NOWWWWW pls

Answers

LA= 4
12x=(6)(8)
Solve for x
X=4

Find the perimeter, in inches, of the parallelogram

Answers

perimeter of a parallelogram

= 2(l + b)

= 2(8 inches + 6 inches)

= 2(14 inches)

= 28 inches

28 inches

Step-by-step explanation:

length = 8 inches breadth = 6 inchesperimeter of parallelogram = 2 ( length + breadth )= 2( 8 + 6 )= 2 ×14= 28 inches

MARK ME AS BRAINLIST

PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c

Answers

i think y -interceptplease talk me my answer is correct or not

Find set A' n B'
U= {1, 2, 3, 4, 5, 6, 7}
A= {4, 5, 6, 7}
B = {3, 4, 7}

Answers

Answer:

its 1 and 2

Step-by-step explanation:

first find A' which is(1,2,3) since these are in the universal set but not in A.

similary B' which is (1,2,5,6)

and since (1,2) are both in A' and B' set A'nB'=(1,2)

Answer:

Step-by-step explanation:

U={1,2,3,4,5,6,7}

A={4,5,6,7}

B={3,4,7}

A'={1,2,3}

B'={1,2,5,6}

A'∩B'={1,2}

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities?

a. the probability that the urn selected was the first one
b. the probability that the urn selected was the second one

Answers

Answer:

a) 0.5664 = 56.64% probability that the urn selected was the first one.

b) 0.4336 = 43.36% probability that the urn selected was the second one

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

If both balls are white, what are the following probabilities?

This means that event A is both balls being white.

Probability of both balls being white:

0.8 probability of 4/10 = 0.4 squared(first urn, which each time the ball is drawn will have 4 white balls and 6 red)

1 - 0.8 = 0.2 probability of 7/10 = 0.07 squared(second urn). So

[tex]P(A) = 0.8*(0.4)^2 + 0.2*(0.7)^2 = 0.226[/tex]

a. the probability that the urn selected was the first one

Event B: First urn selected.

The intersection of events A and B is given by both balls being white and selected from the first urn, which has the following probability:

[tex]P(A \cap B) = 0.8*(0.4)^2 = 0.128[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.128}{0.226} = 0.5664[/tex]

0.5664 = 56.64% probability that the urn selected was the first one

b. the probability that the urn selected was the second one

The intersection of events A and B is given by both balls being white and selected from the second urn, which has the following probability:

[tex]P(A \cap B) = 0.2*(0.7)^2 = 0.098[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.098}{0.226} = 0.4336[/tex]

0.4336 = 43.36% probability that the urn selected was the second one

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