Which exponential expression is equivalent to the one below?

The best method would certainly be integration :)

The area is given by the integral,

[tex]\displaystyle\int_0^2\frac{\mathrm dx}{9-x^2}[/tex]

We can split up the integrand into partial fractions:

[tex]\dfrac1{9-x^2}=\dfrac16\left(\dfrac1{3-x}+\dfrac1{3+x}\right)[/tex]

Then the area is

[tex]\displaystyle\frac16\int_0^2\left(\frac1{3-x}+\frac1{3+x}\right)\,\mathrm dx[/tex]

[tex]=\dfrac16(-\ln|3-x|+\ln|3+x|)\bigg|_0^2[/tex]

[tex]=\dfrac16\left((\ln5-\ln1)-(\ln3-\ln3)\right)=\boxed{\dfrac{\ln5}6}[/tex]

Answer:

iconic compounds

Step-by-step explanation:

Ionic components are formed up of ions, which are charged particles formed whenever an atom (or group of atoms) acquires or loses electrons.

Therefore, the final answer is "ionic compounds".

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Answer:

10 %+-5

Step-by-step explanation:

I don't really know

Answer:

the first one

Step-by-step explanation:

Answer:

3x²+7x-8

Step-by-step explanation:

Answer:

147.0336

Step-by-step explanation:

Answer:

y=3 x=1 hope this helps :)

Step-by-step explanation:

The equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the line with slope -2 which goes through the point (-6,-9).

Substitute m=-2 and (x, y)=(-6,-9) in y=mx+c, we get

-9=-2×(-6)+c

-9=12+c

c=-21

Substitute m=-2 and c=-21 in y=mx+c, we get

y=-2x-21

Therefore, the equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.

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Answer:

sin70°

Step-by-step explanation:

Given sin110° where 110° is an obtuse angle in the second quadrant.

The related acute angle in the first quadrant is 180° - 110° = 70°

Thus

sin110° = sin70°

Heres the formula i hope this helps... SA=2lw+2lh+2hw

Answer:

length + width + height

Step-by-step explanation:

For example, for a  3D shape you will have to add all of the sides to get the surface area.

3.6 is the answer to the question

If Alex and Leonardo are both buying two bags of popcorn and drinks then the overall price would be $18.00.

$4.00 + $4.00 = $8.00 + $5.00 + $5.00 = $18.00

Therefore, they would spend 18 dollars.

Hope this helps ! <3

Answer:

[tex] (\frac{3}{13}, -3) [/tex]

Step-by-step explanation:

Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-3, -6) = (x_1, y_1) [/tex]

[tex] B(11, 7) = (x_2, y_2) [/tex]

[tex] m = 3, n = 10 [/tex]

Finding the x coordinate:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(11) + 10(-3)}{3 + 10} [/tex]

[tex] x = \frac{33 - 30}{13} [/tex]

[tex] x = \frac{3}{13} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(7) + 10(-6)}{3 + 10} [/tex]

[tex] y = \frac{21 - 60}{13} [/tex]

[tex] y = \frac{-39}{13} [/tex]

[tex] y = -3 [/tex]

The coordinates of the point 3/10 of the way from A to B are [tex] (\frac{3}{13}, -3) [/tex]

Answer:

B

Step-by-step explanation:

To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

Answer:

a5 means that ia is variable and 5 is the power of variable a.This also ,eans variable(a)is multiplied fivr times by itself.And algebraic number'x'has 1 as irs power.or we can say that x1=x.This meansthat when a variable has 2 as its power,its poweris ignored and o ly variable in written as such.

Answer: 0.39

Step-by-step explanation:

Given the following classification :

Heavy smokers (H) = 10%

Light smokers (L) = 20%

Non smokers (N) = 70%

Given that :

The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively

Let probability of death = D

P(D | N) = d

P(D | H) = 5d

P(D | L) = 3d

Hence,

P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]

P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]

P(D) = [0.5d + 0.6d + 0.7d]

P(D) = 1.8d

A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

P(N | D) = [P(N) * P(D | N)] / P(D)

P(N | D) = 0.7d / 1.8d

P(N | D) = 0.3888

= 0.39

Answer:

Step-by-step explanation:

The area of a triangle can be found by using the formula

[tex]A = \frac{1}{2} \times bh[/tex]

where

b is the base

h is the height

From the question

b = 27 ft

h = 14 ft

Substitute the values into the above formula and solve

That's

[tex]A = \frac{1}{2} \times 27 \times 14 \\ = \frac{1}{2} \times 378 [/tex]

We have the final answer as

Hope this helps you

Answer:

189ft²

Step-by-step explanation:

Triangle

Solve for area

A=189ft²

b Base

27

ft

hb Height

14

ft

Answer:

97

Step-by-step explanation:

Sorry for messy working out

Answer:

i

I hope this helps!

Answer:

[tex] { - 1}^{ \frac{1}{2} } .[/tex]

Step-by-step explanation:

[tex] \sqrt{ - 1} \: \: = - 1 ^{ \frac{1}{2} } = {( - 1 \times 1)}^{ \frac{1}{2} } \\ since \: - 1 \times 1 = - 1 \\ the \: ans \: is : \\ { - 1}^{ \frac{1}{2} } .[/tex]

♨Rage♨

Answer:

4P3

Step-by-step explanation:

Answer:

4P3 is greater

Step-by-step explanation:

Answer: The answer is D

Answer:

D

Step-by-step explanation:

4 ÷ x+3.

4 + x(a number) + 3

4/x+3

Answer:

16

Step-by-step explanation:

Answer:

The answer is 16.

Step-by-step explanation:

Steps to solve:

k + 10 = 27

~Subtract 10 to both sides

k = 17

Best of Luck!