integral of x sqrt(36+x^2) when x = 6tan theta

Answers

Answer 1

[tex](36+{x}^{2})x=6[/tex]
[tex]x = 6[/tex]


Related Questions

what is the solution set to |2x-3|=7?

Answers

X=5 ok so this is the solution bc ur gonna do reverse mathematics so first u start out addig the 3 and the 7 so thats 10 and u rewrite ur equation 2x=10 and then you can divide 10 by 2 which is 5  and that would be ur solution but to double check u can rewrite the whole equation . 2x5-3=7 and it all matches up . hope it helped :)

2x-3=7

add 3 to both sides

2x = 10

divide both sides by 2

x = 10/2

x = 5


 since the equation is between 2 lines, which means absolute value x can be both positive and negative,

 so the solution set is -5 and 5

how much longer is a 1inch button than a 3/8 inch button

Answers

5/8 inches longer since 8/8 - 3/8 = 5/8

A group of 11 people are going to the movies one Saturday. Adults' tickets cost $11.50 each and children's tickets cost $7.25 each. If the total cost for admission to the movies is $105.25, how many children attended the movie?

Answers

What you do is 5(kids) x 47.25 which is $36.25 then you do 6(grownups) x $11.50 which is 69 then add the kid's price and the grownups price which comes out to a total of $105.25 and there are 5 kids

Answer:  5

Step-by-step explanation:

Let x be the number of adults and y be the number of children going to the movies one Saturday.

Given : A group of 11 people are going to the movies one Saturday.

[tex]x+y=11----------------(1)[/tex]

Adults' tickets cost $11.50 each and children's tickets cost $7.25 each.

The total cost for admission to the movies is $105.25.

i.e. [tex]11.50x+7.25y=105.25-----------------(2)[/tex]

Multiply equation (1) by 11.5 , we get

[tex]11.5x+11.5y=126.5---------------------(3)[/tex]

Subtract equation (2) from (3), we get

[tex]4.25y=21.25\\\\ y=\dfrac{21.25}{4.25}=5[/tex]

Put value of y= 5 in (1), we get

[tex]x+5=11\\\\ x=11-5=6[/tex]

Hence, 5 children attends the movie.

Graph this function:
y= 5x - 18

Answers

The graph is shown below. 

Alexandra earns $125 from her paper route each month, but she spends about $20 each month on personal expenses to pay for a school trip that costs $800 about how many months does she need to save money? Explain

Answers

125 per month-$20 per month expences=105 savings each month
800/105= number of months needed to save

Answer 7.6 (rounded) roughly about 7 and a half months. If shes paid monthly, then 8 montjs needed

Alexandra will need approximately 8 months to save enough money for the school trip.

To calculate the number of months Alexandra needs to save money for her school trip, we'll first find out how much she saves each month after deducting her personal expenses.

Monthly earnings from paper route: $125

Monthly personal expenses: $20

Monthly savings = Earnings - Expenses

Monthly savings = $125 - $20

Monthly savings = $105

Now, let's determine how many months it will take for Alexandra to save enough money for the trip.

Total cost of the school trip: $800

Number of months needed = Total cost of trip / Monthly savings

Number of months needed = $800 / $105

Number of months needed ≈ 7.62

Therefore, Alexandra will need approximately 8 months to save enough money for the school trip.

Each month, Alexandra earns $125 from her paper route. After deducting her personal expenses of $20, she saves $105 per month. Since the school trip costs $800, we divide the total cost of the trip by her monthly savings to find out how many months she needs to save. The result is approximately 7.62, so we round up to 8 months. Therefore, Alexandra needs 8 months to save enough money for the school trip.

Complete question:

Alexandra earns $125 from her paper route each month, but she spends about $20 each month on personal expenses to pay for a school trip that costs $800 about how many months does she need to save money? Explain

How many two-digit positive integer less than 25 have the property that they are divisible by each of their digits? List themZ

Answers

This is easy, since there aren't many positive two digit integers under 25.
Just go through and check each one!

10 - not divisible by 0.
11 - divisible
12 - divisible
13 - not divisible by 3.
14 - not divisible by 4.
15 - divisible
16 - not divisible by 6.
17 - not divisible by 7.
18 - not divisible by 8.
19 - not divisible by 9.
20 - not divisible by 0.
21 - not divisible by 2.
22 - divisible
23 - not divisible by 2 or 3.
24 - divisible

To sum it up, the numbers 11, 12, 15, 22, and 24 are divisible by each of their digits.

Hope this helps (and your fortune is "Good things will come your way if you keep eating pizza.")!

In the year 2005, a total of 750 fish were introduced into a manmade lake. The fish population was expected to grow at a rate of 8.3% each year. What will the fish population be in 2050? Round to the nearest whole number. Enter your answer in the box.

Answers

Using the given information, we can create the following exponential function.
Let t be the number of years after 2005.
Let F be the fish population.
F = 750(1.083)^t

In this case, t = 45 (2050 - 2005 = 45)

F = 750(1.083)^(45)
= 27123.255...
Round to the nearest whole number.

F = 27123
That's the expected population in 2050.

Have an awesome day! :)
a = 750, the number of fish in the year 2005.
8.3% = 0.083, the growth rate
Let n =  the number of years, counted from 2005.
Let a(n) = the number of fish after n years.

When n=1,   a(1) = 750*1.083
When n=2,  a(2) = 750*1.083²
When n=3,  a(3) = 750*1.083³

Therefore, after n years, a(n) = 750*1.083ⁿ

The number of years between 2005 and 2050 is 2050-2005 = 45
Therefore in the year 2050, the number of fish will be
a(45) = 750*1.083⁴⁵ = 27123.26
We cannot have fractional fish, so a(45) =27123.

Answer: 27123

How many solutions can be found for the linear equation? 4(x + 5) - 5 = 8x + 18/ 2

A)no solutions
B)one solution
C)two solutions
D)infinitely many solutions

Answers

Answer: The correct option is A.

Explanation:

The given equation is,

[tex]4(x+5)-5=\frac{8x+18}{2}[/tex]

Multiply both sides by 2.

[tex]2[4(x+5)-5]=\frac{8x+18}{2}[/tex]

[tex]8(x+5)+2(-5)=8x+18[/tex]

[tex]8x+40-10=8x+18[/tex]

[tex]8x+30=8x+18[/tex]

Subtract both sides by 8x.

[tex]30=18[/tex]

This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.

Answer:

Option A is correct

No solutions

Step-by-step explanation:

The distributive property says that:-

[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

Given the equation:

[tex]4(x+5)-5 = \frac{8x+18}{2}[/tex]

Using distributive property we have;

[tex]4x+20-5 = \frac{8x+18}{2}[/tex]

⇒[tex]4x+15= \frac{8x+18}{2}[/tex]

Multiply both sides by 2 we have;

[tex]8x+30 = 8x+18[/tex]

Subtract 8x from both sides we have;

[tex]30=18[/tex] False.

For any value of x, there is no solutions for the given system of equation

Therefore, No solution can be found for the linear equation

What is −12÷23 ?

−36

−24

−18

−8

Answers

-12 / 23 = -0.52

 so none of those are the correct answer.

if the 23 is suppose to be the fraction 2/3

 then you have -12  / 2/3 which =  -12 * 3/2 = -36/2 = -18

Answer:

hello your answer is -36  

Step-by-step explanation:

1. 12 = 12/1 so we keep the first number then2. we change the division sign to times 3. flip the second number 2/3 is turned to 3/2 then  multiply  so 12/1 x 3/2 is 36/2  hope this helps have a nice day !

John is calculating 6 % tax on an item in a store. He means to multiply the price of the item by 0.06, but he accidentally divides by 0.06. His answer is

a) correct

b) too small

c) too large

d) undefined


Please help me i need the answer!!

Answers

His answer is wrong and (c.) too large
Say his item is $100. With 6% tax, he would pay $106. If he was to divide it by 0.06 he would get 1666.66666. This answer is to large and therefore your answer is c, too large

Find the GCF of 22ab 2 c 2 and 40a 3 c 2.

4a 3b 2c 2
2ab 2c 2
4ac 2
2ac 2

Answers

Final answer:

The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.

Explanation:

When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.

To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.

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use the distributive property to write the following expression in an equivalent form:6× (10+25)

Answers

6*(10+25)
60+150
210 is your answer

Describe a Situation with two quantities that have proportional Linear relationship

Answers

I went to a store to buy pencils.
The pencils cost 25 cents each.

1 pencil costs 25 cents.
2 pencils cost 50 cents.
3 pencils cost 75 cents.
10 pencils cost 250 cents ($2.50)

The relationship between the price of pencils and the number of pencils is linear.
Answer with explanation:

Let d denote the distance covered(in km) over the time t(in hours) with a speed of 10 km/h.

This means that the with the increasing time the distance covered will also increase.

Hence, the two variables i.e. distance and time are directly proportional to each other and also the equation which describes this relationship is given by:

                                  d=10t

Also, the relationship is Linear.

Since, the equation is linear which relates the two variable.

What is the algebraic expression of the sum of 3 coins and c coins

Answers

the sum is: 3+c
there are 3 coins that you are added to a number, c.

Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?
A. $10.00 per hour
B. $11.00 per hour
C. $12.00 per hour
D. $13.00 per hour

Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?
A. 20
B. 21
C. 22
D. 23

Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?
A. 2
B. 3
C. 4
D. 5

Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?
A. 5
B. 6
C. 7
D. 8

Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

A. 12
B. 13
C. 14
D. 15

Answers

1.) A. $10.00 per hour
2.) B. 21 days
3.) A. 2
4.) D. 8
5.) B. 13

Part a) Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Let

x--------> amount that Sam earned before the raise

we know that

[tex] (x+7) *5 =85 [/tex]

Solve for x

[tex] 5x+35 =85 [/tex]

[tex] 5x =85-35 [/tex]

[tex] 5x =50 [/tex]

[tex] x=10\ dollars\ per\ hour [/tex]

therefore

the answer Part a) is the option

A. $10.00 per hour

Part b) Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?

Let

x-------> the number of days

y-------> the total words Julia Knows

we know that

[tex] y=19+6x [/tex] ------> equation [tex] 1 [/tex]

For y=[tex] 145 [/tex]

Find the value of x

Substitute in the equation [tex] 1 [/tex] the value of y

[tex] 145=19+6x [/tex]

[tex] 6x=145-19 [/tex]

[tex] 6x=126 [/tex]

[tex] x=21\ days [/tex]

therefore

the answer Part b) is the option

B. 21

Part c) Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?

Let

x--------> the number of dogs that Claire walked last week per day

we know that

[tex] x=\frac{35}{5} -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day [/tex]

therefore

the answer Part c) is the option

C. 4

Part d) Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?

Let

x--------> the number of months

y-------> amount in the bank account in dollars

we know that

[tex] y=45x+200 [/tex]

Find the value of x for y=[tex] 560 [/tex]

[tex] 560=45x+200 [/tex]

[tex] 45x=560-200 [/tex]

[tex] 45x=360 [/tex]

[tex] x=8\ days [/tex]

therefore

the answer part d) is the option

D. 8

Part e) Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

Let

x------> the number of pencil

we know that

[tex] 6.91= 1.45+0.42x\\\\ 0.42x=6.91-1.45\\\\ 0.42x= 5.46\\\\ x= 13\ pencils [/tex]

therefore

the answer part e) is the option

B. 13

2w + 5 = 4w + 13

What it is w?

Answers

Put all the like terms on the same side. 

2w+5=4w+13
2w-4w = 13-5 
-2w = 8 
w=8/-2 
w= -4 

Hope I helped :) 
2w+5=4w+13
-4w    -4w
-2w=8
/-2    /-2
w=-4

My question is up above

Answers

when becca sells 3 boxes
jenna sells 8 boxes
which means given becca sells x boxes
then jenna sells x+5
so the total = x+x+5= 385
2x=385-5
2x=380
x= 190
becca sold 190 boxes
while jenna sold 195 boxes

Find all the angle measures showing all work. Which property are you using to set up your equations?

Answers

Due to the Property of Opposite Angles, Angle 2 = Angle 4
Therefore: 
x + 16 = 4x - 5                 Add 5 to both sides, subtract x from both sides
21 = 3x 
x = 7 
 
Substituting: 
Angle 2 = 7 +16 = 23°  
Angle 4 = Angle 2 = 23°        Again, Property of Opposite Angles

Due to the Property of Supplementary Angles. Angle 1 + Angle 2 = 180°
23 + Angle 1 = 180
Angle 1 = 157° 

Due to the Property of Opposite Angles, Angle 1 = Angle 3 = 157°


The angle measures is equivalent to 23 degrees.

Vertically opposite angles are equal

How to determine the angle

To determine the angle, we have to know that vertically opposite angles are equal and angles on a straight line equal 180 degrees

Then, we can say that;

<1 = 3

< 2 = < 4

Substitute the expressions, we have;

x + 16 = 4x - 5

collect the like terms, we have;

x - 4x = -5 - 16

subtract the values, we get;

-3x = -21

divide by the coefficient, we have;

x = 7

Then, we can say;

<1 = <2 =< 3 = < 4

= 23 degrees

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suma liczb a = 3,6 do potęgi 7 * { 5/9} : 2 do potęgi 7 i b = 5 do potęgi 5 : {-22} do potęgi 5 * {2 1/5} wynosi A 1 B 31/32 C - 1/32 D -1
oblicz a] {2/3} do potęgi 4 * 6 do potęgi 4 + {-2 1/2} do potęgi 3 : {1/2}
b} 4,5 do potęgi 3 : {-1,5} do potęgi 3 - {0,01} do potęgi 2 * 80 do potęgi 2
c} 5 do potęgi 2 * {2 1/5} do potęgi 2 - {3 1/2} do potęgi 5 * {- 4/7} do potęgi 5
d} {-10,5} do potęgi 2 : 3,5 do potęgi 2 + 2,25 do potęgi 3 * 2 do potęgi 3

Answers

Answer:

what even is this???????????????

What is 45.99 pounds rounded to the nearest tenth of a pound

Answers

i think it would be 46.00 pounds
Here is your answer:                                                                                                                                                                                                                                                   45.99 rounded=46.00                                                                                             Your answer is 46.00 lbs

Karen can paint a wall in 2.5 hours. Stephanie takes 1.25 hours to paint the same size wall. How many minutes will it take for Karen and Stephanie to paint the same wall?

Answers

Well, it all depends on how big the wall is so that way, you can find out how much of the wall they can cover per hour or per minute.

1/3(−32.48−14.02)​ Enter your answer, as a decimal to tenths, in the box

Answers

mdgts Answer is -15.5

Which polygons are congruent?
Select each correct answer.

Answers

The answers are A and D, because the definition of congruent shapes is that they are the exact same size and the same angle measures. Option A shows two right triangles, that are matching in size because of the lines on the lines showing the same size. Option d is correct because The three sides of triangle TUV match up with triangle WXY. Option C is incorrect because Angle B does not match angle G. Option b is incorrect because the triangles are not the same size.
I hope this helps!

The required pairs of triangles in A and D are congruent triangles.

What are congruent triangles?

Congruent triangles are two triangles that have the same shape and size. In other words, they are identical in every way, including their angles and side lengths. When two triangles are congruent, their corresponding sides and angles are equal.

Here,

Congruent triangles are important in geometry because they have many useful properties and can be used to solve a variety of problems. For example, if two triangles are congruent, then any corresponding parts (such as their altitudes, medians, or angle bisectors) will also be congruent. This can be helpful in finding missing side lengths or angles of a triangle.

Thus, from the above definitions Pairs of triangles in A and D are congruent triangles.

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two decreased by a half of a number is 1/2 of the number

Answers

Answer:  The number is:  "2" .
_______________________________________________________
The expression is:  2 − (½)x = (½)x  ;
                → in which "x" is the "unknown number".
_______________________________________________________
Explanation:
______________________________________________________
Given:  
_________________________________________________________
"Two decreased by a half of a number is one-half of the number" ; 

Let "x" represent the "unknown number" for which we wish to solve;

Write the expression as:
_________________________________________________
" 2 − (½)x = (½)x " .
_________________________________________________
Note:  Add "(½)x" to EACH SIDE of the equation:
_________________________________________________
2 − (½)x + (½)x = (½)x + (½)x ;

to get:
_________________________________________________
       →  2 = 1x ; 

       ↔  1x = 2 ;
 
       ↔ x = 2 .
_________________________________________________
Answer:  The number is:  " 2 " .
_________________________________________________

Justine draws a square with an area of 150 square centimeters. What is the approximate length, in centimeters, of one side of the square? -2 cm -11 cm -12 cm -13 cm

Answers

The side length is the square root ofthe given area, or sqrt(150 sq cm).

This comes to s = 12.247 cm.  Round that off to 12.2 cm or even 12 cm.

The approximate length is 12 centimeters, of one side of the square which is the correct answer would be an option (C).

What is the square?

A square is a closed two-dimensional object with four equal-length sides and all interior angles of exactly 90 degrees.

The diagonal of the square is the distance between two vertices on opposing sides. A square has two diagonals of equal length.

We have been given that Justine draws a square with an area of 150 square centimeters.

The area of the square = (length of the side)²

150 square centimeters = (length of the side)²

Length of the side = √(150)

Length of the side = 12.24744

Rounded the nearest hundredth and we get

Length of the side = 12.24 centimeters

Therefore, the approximate length is 12 centimeters, of one side of the square.

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Translate the phrase into a numerical expression of One hundred divided by the quantity three times five

Answers

[tex] \frac{100}{3*5} [/tex]

Answer: A

Step-by-step explanation:

A school makes $715 from ticket sales for a school play. From the ticket sale, $448 is from adult tickets. Student tickets are $3 each. How many students attended the play?

Answers

715=448+(3x)
715-448=3x
267=3x
267/3=x
89=x
89 students

what is the ratio of 3√x4

Answers

I don't understand what you wrote.
Can you show a picture of the original question?
[tex]3\sqrt{x^4}=3x^2[/tex]

If h(x)=(f o g) (x) and h(x)=3(x+2)^2, find find one possibility for f(x) and g(x)

Answers

if (fog) = 3(x+2)^2, f(x) would = 3x^2 and g(x) would = x+2

Answer:

[tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]

Step-by-step explanation:

[tex]h(x)=(f o g) (x)[/tex]

[tex]h(x)=3(x+2)^2[/tex]

[tex](f og)(x) = f(g(x))[/tex]

g(x) is the inside function and f is the outside function

To get g(x) , we need to find the inside function in h(x)

[tex]h(x)=3(x+2)^2[/tex]

Inside function is x+2

So g(x) is x+2

when g(x)= x+2 then f(x) is [tex]3x^2[/tex]

So [tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]

Weekly math review-Q1.6

Answers

Final answer:

The subject of this question is Mathematics, specifically involving basic algebra and arithmetic. Students are required to apply the math principles given in the example boxes throughout the chapter.

Explanation:

The subject of this question is Mathematics. It involves basic algebra and arithmetic to solve mathematical problems and apply the principles given in the example boxes throughout the chapter. The question likely requires students to use their math skills to solve a specific problem or answer a mathematical question.

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