∫(x+1)/(x2+2)2x−3​dx need help with this question. can you show the process​

Answer:

1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?

the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.

the standard formula (hi, first grade !) for the area of a rectangle is length×width.

that's it.

1.a.

the volume of an object regularity shaped like a silo is always ground area times height.

for this object we only need to imagine to stand the object up sideways on the triangle side.

and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).

so then, the triangle area is the ground area. and the original long side line of the object is is height.

as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.

so, we have here 6×4/2 = 6×2 = 12 m²

and now the ground area × object height = 12×8=96 m³

b.

the standard formula for the volume of a ball (hi, internet !) is pi×r³.

so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³

2a.

the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).

so, we use Pythagoras

c² = a² + b² (c being the Hypotenuse, a and b being the sides).

11² = 8² + h²

121 = 64 + h²

h² = 57

h = 7.55 cm

2b.

the standard formula for the volume of a cone (hi, internet !) is

pi×r²×h/3

pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³

Step-by-step explanation:

all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.

as there is really nothing to explain but just to use the standard formulas with the given numbers.

Answer:

61

Step-by-step explanation:

(6)^2+5(6)-5

=36+30-5

=61

Answer:

1

Step-by-step explanation:

[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]

Answer:

the answer of the question is D

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         Combine like terms.

                   = 9x + 2

Like terms have same variable of same powers.

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         

Combine like terms.                  

 = 9x + 2 Like terms have same variable of same powers.

Still stuck? Get 1-on-1 help from an expert tutor now.e3radg8 and 3 more users found this answer helpful

Answer:

There are 3 marbles, that we assume are different.

Let's define them as marble 1, marble 2, and marble 3.

a) If the order is important, and we select the 3 marbles, then:

for the first marble, we have 3 options.

For the second marble, we have 2 options (because one is already taken)

for the third marble is only one option.

The total number of combinations is equal to the product between the numbers of options, so in this case, we have:

C = 3*2*1 = 6 combinations.

Now, if we only select 2 marbles from the bag, we have:

for the first marble, we have 3 options.

For the second marble, we have 2 options

Here the number of different combinations is:

C = 3*2 = 6 combinations.

And if we select only one marble from the bag, we have:

for the first marble, we have 3 options.

Then here are only 3 combinations.

the total number of combinations is:

C' = 6 + 6 + 3 = 15 different combinations.

b) If the order is not important, then there is only one combination when we draw the 3 marbles.

When we draw one marble there are 3 combinations (one for each marble)

When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)

then the total number of combinations in this case is:

C = 1 + 3 + 3 = 7

Answer:

Currently, Alex is 32 years old. His son is 8 years old,

Solution: denote the age of Alex’s son as ‘x’. Alex’s age is 4x

In 16 years, Alex’s age will be 4x + 16. His son’s age will be x + 16

4x + 16 = 2(x+16). solving this equation yields:

4x + 16 = 2x + 32. Grouping like terms algebraically gives: 2x = 16

Thus x = 16/2 = 8. 4(8) = 32

Answer:

Alex is 24, Bernard is 12, and Calvin is 16.

Step-by-step explanation:

Let Alex's age be A, Bernard's age be B, and Calvin's age be C.

We can write equations to model each situation.

Alex is twice as old as Bernard. In other words:

[tex]A=2B[/tex]

Calvin is eight year younger than Alex. In other words:

[tex]C = A - 8[/tex]

And the sum of all their ages is 52. Therefore:

[tex]A + B + C = 52[/tex]

This is a triple system of equations. We can solve it by substitution. Substitution A and C:

[tex](2B)+B+(A-8)= 52[/tex]

Substitute:

[tex]2B+ B + (2B) -8 = 52[/tex]

Combine like terms:

[tex]5B-8=52[/tex]

Solve for B. Add 8 to both sides:

[tex]5B = 60[/tex]

And divide both sides by five:

[tex]B=12[/tex]

Therefore, Bernard is 12 years old.

Since Alex is twice as old as Bernard, Alex must be 24 years old.

And since Calvin is eight years younger than Alex, Calvin is 16.

In conclusion, Alex is 24, Bernard is 12, and Calvin is 16.

Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

Step-by-step explanation:

x+y=0

x=-y

or, y=-x

3x-2y=10

Answer:

i) false

ii) false

iii)false

Answer:

true ans is correct

Step-by-step explanation:

true

Answer:

the answer is 21

Step-by-step explanation:

Answer:

5

5 1/2

6 1/2

Step-by-step explanation:

Let n=1

a1 = 5+(1-1)*(1/6)

a1 = 5

Let n=4

a4 = 5+(4-1)*(1/6)

a4 = 5 +3(1/6)

a4 = 5+1/2 = 5 1/2

Let n=10

a10 = 5+(10-1)*(1/6)

a10 = 5 +9(1/6)

a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2

Answer:

[tex]A = 135(1.11)^{12}[/tex]

A= $472.29  

Step-by-step explanation:

Answer:

2x+3x=180°

that is 5x=180°meaning x=32°

Answer:

yes

Step-by-step explanation:

functions have one input for every output.

the input side has unique and individual numbers therefore it's a function.

Answer:

1/5

Step-by-step explanation:

because multiply any different copies by 1/5 to get the cost of the print shop

Answer:

undefined

Step-by-step explanation:

Here,

x1 = - 3

y1 = 6

x2 = - 3

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 4 - 6 ) / ( - 3 - ( - 3 )

= - 2 / 0

= undefined

Answer:

The slope is undefined.

Step-by-step explanation:

slope(m):

y2-y1/x2-x1

4-6 / (-3)-(-3)

-2 / 0

undefined ∞

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

10/81

Step-by-step explanation:

let,

y=kx

y=10 when x=9

so,

10=k×9

or, k=10/9

when x=1/9

y=kx

or, y=(10/9)×(1/9)

or, y=10/81

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.

Answer:

$1.50

Step-by-step explanation:

The change would be $1.50 because $5.00 - $3.50 = $1.50

Welp....there's your answer

Answer:

[tex]f(x) = e^x[/tex]

Step-by-step explanation:

Given

Options (a) to (d)

Required

Which is a parent function

A parent function is such that has a single term without coefficients

From the list of given options

[tex]f(x) = e^x[/tex] suits the above definition

Other options (b) to (d) either have coefficients, or have multiple terms

Answer:

C

Step-by-step explanation:

(243)^(2/5)=3^2=9. C is the correct answer

It can be concluded that the equivalent value of the expression is 9.

An algebraic expression is a made up of terms both constants and variables. For example, we can write -

2x + 3y + z

5x + y

x + 8y

Given is the algebraic expression as -

[tex]$243^{\frac{2}{5} }[/tex]

The given algebraic expression is -

[tex]$243^{\frac{2}{5} }[/tex]

It is asked to find the equivalent value of this expression. We can write -

[tex]$243^{\frac{2}{5} }[/tex]

[tex]$3^{5\times \frac{2}{5} }[/tex]

3²

3 x 3

9

So, it can be concluded that the equivalent value of the expression is 9.

Therefore, it can be concluded that the equivalent value of the expression is 9.

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https://brainly.com/question/29223887

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Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

Answer:

(x^2 + 5x + 4) : 2

Step-by-step explanation: