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The pH of a fruit juice is 2.9. Find the hydronium ion concentration, [H30 * ), of the juice. Use the formula pH = -log[H30*]
The hydronium ion concentration [H30 + ] is approximately moles per liter.
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest tenth as needed.)

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

Answer:

(1.) -32.4 (2.) 99.94

Step-by-step explanation:

plz mark 5 str, helpful, and brainliest!

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

Answer:

1260°

Step-by-step explanation:

Number of sides was given as 9, hence ( n= 9)

Sum of interior angle of a polygon can be determined using the expression below

[(2n-4)90°]

Substitute n=9

[((2×9) -4)) ×90]

= [(18-4)×90]

(14×90)=1260°

Hence, angle sum of polygon which had 9 sides​ is 1260°

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.

Answer: 4

Step-by-step explanation:

First we need to find the difference of the balance.

it was -80 then it became -44. The difference is 36.

Next we divide 36 by 9 from the 9 parents.

The answer is 4

Answer:

4 & 8

Step-by-step explanation: hope this helps :)

Answer:

2004

Step-by-step explanation:

if it was 2005 theyd be 15

Answer: the distance from x axis is 4

Step-by-step explanation:

the y coordinate is 2 the x axis is on the bottom and 2 units for each number so 4 units

Answer:

Since e on the y-axis is 2, e on the x-axis would be 2 if you look at its distance from the x-axis because you have to look at the intersect

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]EL\cong KP[/tex]

And we want to prove that:

[tex]KE\cong LP[/tex]

Congruent chords have congruent arcs. Therefore:

[tex]\stackrel{\frown}{EL}\, \cong \, \stackrel{\frown}{KP}[/tex]

Arc EL is the sum of Arcs LP and PE:

[tex]\stackrel{\frown}{EL}\,=\, \stackrel{\frown}{LP}+\stackrel{\frown}{PE}[/tex]

Likewise, Arc KP is the sum of Arcs KE and PE:

[tex]\stackrel{\frown}{KP}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]

Since Arcs EL and KP are congruent:

[tex]\stackrel{\frown}{LP}+\stackrel{\frown}{PE}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]

Subtraction Property of Equality:

[tex]\stackrel{\frown}{LP} \, \cong\, \stackrel{\frown}{KE}[/tex]

Congruent arcs have congruent chords. Therefore:

[tex]LP\cong KE[/tex]

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

To learn more about the simplest radical form, visit:

https://brainly.com/question/565192

#SPJ1

Answer:

moon and stars wonder

where have all the people gone

alone in hiding

Step-by-step explanation:

Answer:

Auto Praise for Cow - A Haiku

"The juxtaposition of cow and goat is truly inspired."

- The Daily Tale

"I don't like short poems. So why am I reviewing a haiku, you may wonder? Well, I liked the title - 'Cow'. It went down hill from there."

- Enid Kibbler

"Amazing how so few words can set a scene so perfectly. I close my eyes and all I can see is the baking christmastime."

- Hit the Spoof

"I felt that I was a cow. It was spooky. I hope to read more by Anonymous. Perhaps next time, something longer."

- Zob Gloop

"I've always wanted to write a haiku about a cow. I can't belive Anonymous has beaten me to it."

- Betty Borison

"Baking christmastime is a popular first line for a haiku. It's incredible how much diversity can be achieved with those final lines."

- Chris Critic, otherwise known as Cristic

Step-by-step explanation:

qw

Answer: x < 4

Step-by-step explanation: Move the constant to the right (5). Simplify (3+5=8).  Divide both sides (8/2 & 2/2).

Answer:

- The neighbor that has the most amount of fence to put up is: Neighbor A.

- The neighbor that has the least amount of fence to put up is: Neighbor C.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

Convert yards to feet (Remember that :

To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

Where r is the radius.

In this case, the radius is:

Substituting, you get:

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.

The neighbor that has the least amount of fence to put up is: Neighbor C.

hope this helps btw i just copy and pasted this so its not my work

Answer:

- The neighbor that has the most amount of fence to put up is: Neighbor A.

- The neighbor that has the least amount of fence to put up is: Neighbor C.

Step-by-step explanation:

Answer/Step-by-step explanation:

1. B = 180 - (90 + 58) (sum of triangles)

B = 32°

Let's find a and b using trigonometric ratios:

Reference angle = 58°

Opposite = a = ?

Hypotenuse = c = 27

Adjacent = b = ?

✔️To find a, apply SOH:

Sin 58 = Opp/Hyp

Sin 58 = a/27

a = 27*Sin 58

a = 22.8972986 ≈ 22.9 (nearest tenth)

✔️To find b, apply CAH:

Cos 58 = Adj/Hyp

Cos 58 = b/27

b = 27*Cos58

b = 14.3 (nearest tenth)

2. B = 180 - (90 + 63) (sum of triangles)

B = 27°

Let's find a and b using trigonometric ratios:

Reference angle = 63°

Opposite = a = 11

Hypotenuse = c = ?

Adjacent = b = ?

✔️To find b, apply TOA:

Tan 63 = Opp/Adj

Tan 63 = 11/b

b = 11/Tan 63

b = 5.6 (nearest tenth)

✔️To find c, apply SOH:

Sin 63 = Opp/Hyp

Sin 63 = 11/c

c = 11/Sin 63

c = 12.3 (nearest tenth)

The length of the side would be sqrt(77) = 8.7749.....

This can be classified as two answers:

A and D

This is a real number

It is also an irrational number because it can’t we written as a simple fraction.

Answer:

0.08333333333

hope this answer helps you!

Answer:

1/12

Step-by-step explanation:

Using a calculator and rounding the result (quotient) off, we get:

64/768 = 0.083333...  (approximately) or 1/12 (exact quotient)

Answer:

C) 10 is the answer if this helped brainliest would be appreciated ;)

Step-by-step explanation:

Answer:

10cm

Step-by-step explanation:

15cm-9cm=6cm

KL^2=(8^2)+(6^2)

KL^2=64+36

KL^2=100

KL=10cm

Answer:5

Step-by-step explanation:

Answer:

[tex]5x \: + \: 13x \: = 180[/tex]

Answer:

2

Step-by-step explanation:

the slope of the given line is 2

parallel lines have the same slope so the answer is 2

Answer:

30-25%=22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

25% of 30=7.5

30-7.5=22.5

Answer:

ok

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation: sin= opposite/ hyp  sin(48) = h/ 18  h =  sin(48) * 18

Answer:

A

Step-by-step explanation:

2(6)-3(4)=0<9

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

Answer:

17s+20t

Step-by-step explanation:

Answer:

slope=3

y intercept=4

Step-by-step explanation:

i did this using the equation y=mx+b m being slope and b being y intercept