Let p=x^2+6
Which equation is equivalent to (x^2+6)^2-21=4x^2+24 in terms of p?
Choose 1 answer:
A. p^2-4p-21=0

B. p^2+4p−45=0

C. p2−4p−45=0

D. p^2+4p−21=0

Answers

Answer 1
That's a bit of a nasty. Where ever you see (x^2 + 6) you put in p.
p^2  - 21 = 4(x^2 + 6)
p^2 - 21 = 4p
p^2 - 4p - 21 = 0

A <<<< answer. 

Answer 2

Final answer:

The equation equivalent to (x^2+6)^2-21=4x^2+24 in terms of p is A. p² - 4p - 21 = 0.

Explanation:

To find which equation is equivalent to (x²+6)²-21=4x²+24 in terms of p, we follow a series of algebraic steps, substituting p with x²+6. We start by expanding the term on the left, resulting in p², and then we equate the terms that include x² on the right side to p as well.

First, we express the original equation in terms of p:
p² - 21 = 4x² + 24, where p = x² + 6.

Next, we substitute p in place of x² + 6:
p² - 21 = 4(p - 6) + 24

Now, we simplify the right side of the equation:
p² - 21 = 4p - 24 + 24

Which simplifies further to:
p² - 21 = 4p

Finally, we rearrange the equation to get all terms on one side:
p² - 4p -21 = 0

Therefore, the correct answer is A. p² - 4p - 21 = 0.


Related Questions

If Martha earns $3.25 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

Answers

IF MARTHA EARNS 3.25/HOUR FRO BABYSITTING (SHE IS UNDERPAID!)
IN 1.5 HOURS=3.25*1.5=4.88 DOLLARS
IN 2.5 HOURS=3.25*2.5=8.13 DOLLARS
IN 3.5 HOURS=3.25*3.5=11.38 DOLLARS  

Martha in:

1.5 hours will make: $4.88

2.5 hours will make: $8.13

3.5 hours will make: $11.38

What is 60% of 60? need help with this one can some one show me how to do it?

Answers

If we want to find 60% of 60, we can solve by multiplying 60 by 0.6.

60 x 0.6 = 36

If we wanted to do it another way, we could multiply 60 by 0.5 and 0.1 seperately and add those numbers up.
You're looking for a number [tex]x[/tex] such that

[tex]\dfrac x{60}=\dfrac{60}{100}=60\%[/tex]

Multiply both sides by 60, so that

[tex]\dfrac{60x}{60}=\dfrac{60^2}{100}\implies x=\dfrac{3600}{100}=36[/tex]

Another way of doing it: you can easily find that 10% of 60 is 6. Then 60% would be 6 times 10%, and 6 times 6 is 36.

Solve the equation. Show all steps and work. Then check your answers (show all work). Finally, write the solution set.
x+1=√9x-11

Answers

Hello,
[tex]x+1=\sqrt{9x-11}\\ (x+1)^2=9x-11\\\ x²+2x+1-9x+11=0\\ x^2-7x+12=0\\ x²-4x-3x+12=0\\ x(x-4)-3(x-4)=0\\ (x-4)(x-3)=0\\ x=4\ or\ x=3 [/tex]

Sol={3,4}

(4,3) is the required solution set for the given equation

Given equation is x+1=√9x-11

Thus solving above equation for x :

[tex]x+1=\sqrt{9x-11}\\[/tex]

Squaring throughout we get,

[tex](x+1)^{2} =9x-11\\x^{2} +2x+1=9x-11\\x^2+2x-9x+1+11=0\\x^2-7x+12=0\\x^2-3x-4x+12=0\\x(x-3)-4(x-3)=0\\(x-4)(x-3)=0\\[/tex]

Thus we get :

Either (x-4) = 0 or (x-3) = 0

Thus we have x = 4 or x = 3  

Hence x = 4 or x = 3 is the solution set

PLEASE ANSWER
This graph shows a portion of an odd function. Use the graph to complete the table of values.

Answers

Answer:

The complete table is shown below.

Step-by-step explanation:

The given function be represented by f(x).

Since, the function f(x) is an odd function.

So, [tex]f(-x)=-f(x)[/tex].

On substituting the values of x, we get,

[tex]f(-2)=-f(2)=-2[/tex]

[tex]f(-3)=-f(3)=-1[/tex]

[tex]f(-4)=-f(4)=-2[/tex]

[tex]f(-6)=-f(6)=-3[/tex]

Thus, the corresponding table is given by,

x                  f(x)

-2                  -2

-3                  -1

-4                   -2

-6                   -3

Answer:

x                  f(x)

-2                  -2

-3                  -1

-4                   -2

-6                   -3

Step-by-step explanation:

edge 2020

As viewed from a cliff 340 ft above sea level a ship is 450 feet from the shore what is the angle of depression from the cliff to the ship on the water below

Answers

angle depression= angle of elevation
To get the angle of depression we use the formula:
tan x=opposite/adjacent
where x is the angle of elavation
opposite is the height of the cliff
adjacent is the distance of the ship from the shore
thus
tan x=340/450
tan x=34/45
x=arctan 34/45
x=37.07
hence the angle of elevation= angle of depression=37.1°

6s - 4 = 8 (2 + 1/4s)

Answers

6s-4=8(2+1/4s)
6s-4=16+2s
-2s -2s
4s-4=16
+4 +4
4s=20
s=5
Final answer:

To solve the equation 6s - 4 = 8 (2 + 1/4s), simplify and isolate the variable 's'. The solution is s = 5.

Explanation:

To solve the equation 6s - 4 = 8 (2 + 1/4s), we need to simplify and isolate the variable 's'. First, distribute the 8 to both terms inside the parentheses:



6s - 4 = 16 + 2s



Next, move the variable terms to one side of the equation and the constant terms to the other side by subtracting 2s from both sides and adding 4 to both sides:



6s - 2s = 16 + 4



Combine like terms to simplify:



4s = 20



Finally, divide both sides by 4 to solve for 's':



s = 5

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HeLp PlEasE
A triangular lawn has sides that are 8 m and 12 m long with an included angle of 51°.
What is the area of this lawn?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

The formula is
.. A = (1/2)ab*sin(C)
.. = (1/2)(8 m)(12 m)sin(51°)
area ≈ 37.3 m^2
Step-by-step explanation:

what is the area of this triangle 13in 94 degrees 7.5 in

f(x) = 2x2 – 4x – 3

0 = 2x2 – 4x – 3

3 = 2(x2 – 2x)

3 + 1 = 2(x2 – 2x + 1)

4 = 2(x – 1)2

2 = (x – 1)2

± = x – 1

1 ± = x

Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?




ANSWER CHOICES
Mica should have set each x = 0 instead of f(x).
Mica should have added 2 to 3 instead of 1.
Mica should have multiplied both sides by 2 instead of dividing.
Mica should have subtracted 1 from both sides instead of adding.

Answers

mica should have added 2 to 3 instead of 1

Answer:

Mica should have added 2 to 3 instead of 1.

Step-by-step explanation:

f(x) = 2x^2 – 4x – 3

0 = 2x^2 – 4x – 3

Mica added 3 on boths sides and factored out 2

3 = 2(x^2 – 2x)

We have 2 outside the parenthesis , so we multiply 1 with 2  and add it one left side

3 + 1 = 2(x^2 – 2x + 1) Error in this step

The above step becomes 3 + 2 = 2(x^2 – 2x + 1)

Mica should have added 2 to 3 instead of 1.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

i think it is c but i don't know if I'm right

A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area of the kite.

Answers

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula [tex]area=\frac{1}{2}*base*height[/tex] to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = [tex]\frac{1}{2}*36*15[/tex] = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

The area of the kite is 540 square inches

The dimension of the rectangle is given as:

Height = 36 inches. Width = 30 inches

The area of the kite is then calculated using:

[tex]Area = \frac 12 \times (Height \times Width)[/tex]

Substitute values for Height and Width

[tex]Area = \frac 12 \times (36 \times 30)[/tex]

Evaluate the expression in bracket

[tex]Area = \frac 12 \times 1080[/tex]

Evaluate the product

[tex]Area = 540[/tex]

Hence, the area of the kite is 540 square inches

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All four functions below are quadratic functions. Which function has the greatest maximum value? Answer options attached in pictures. (10 points!!)

Answers

There are no pictures?

The museum of science in boston estimated that 64% of all visitors came from within the state. on sunday, 2,500 people attended the museum. how many attended the museum from out of state?

Answers

Percentage of visitors who come from with in the state is 64%
Percentage of visitors who come from outside will be (100-64)=36%
The total number of attendees is 2500
the total number of of people who came from outside the state will be:
36/100×2500
=900 visitors
Final answer:

First, calculate the number of attendees from within the state by multiplying the total by 64% to get 1,600 people. Subtract this from the total to find the number of out-of-state attendees, 900 people.

Explanation:

This is a problem of percentage utilization and subtraction. First, we must determine the number of in-state attendees by multiplying the total number of attendees (2500 people) by the given percentage of in-state visitors (64%).

So, 2500 people x 0.64 = 1600 people.

These are the people who attended from within the state. To find out how many visitors came from out of state, we subtract this number from the total: 2500 people - 1600 people = 900 people. Therefore, 900 people attended the museum from out of state on Sunday.

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Help with this question.

Answers

Well.... I just finished  Algebra II, but I hated Unit Circle..... bleh

(x,y)
(cos[theta], sin[theta])
(4,-8)
So for cos to be POSITIVE, it can only be in either Quadrant I, or Quadrant IV
Quad I = (+,+)
Quad IV = (+,-) (Our cord has a negative sin, so that is it)
So it has to be in Quad IV, that is some information.

That narrows it down to either A or B.

If you have a calculator, you can put in:

cos(-2) or cos(-2/sq rt 5) i believe.... or its either the inverse, can’t entirely remember.
Im sorry I couldn’t help you more.

name the sine, cosine, and tangent of angle a in the figure below

Answers

check the picture below.

now, we can simplify all those to 

[tex]\bf cos(A)=\cfrac{24}{12\sqrt{5}}\implies \cfrac{2}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{2\sqrt{5}}{5} \\\\\\ sin(A)=\cfrac{12}{12\sqrt{5}}\implies \cfrac{1}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad\cfrac{\sqrt{5}}{5} \\\\\\ tan(A)=\cfrac{12}{24}\implies \cfrac{1}{2}[/tex]



Which function represents a line with a slope of −4 and a y-intercept of −2?
A) y = 4x − 2
B) y = −4x + 2
C) y = −4x − 2
D) y = −2x − 4

Answers

The correct answer is C) y = -4x - 2.

Answer:

C) [tex]y = -4x - 2[/tex]

Step-by-step explanation:

The general equation of a line in the xy plane is as follows:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the intercept with the y axis.

In this case we want a line with a slope of -4, therefore:

[tex]m = -4[/tex]

and we also want a y-intercept of -2, so:

[tex]b = -2[/tex]

Substituting in the general equation of the straight line:

[tex]y = mx + b[/tex]

⇒[tex]y = -4x-2[/tex]

wich is option C

Which properties of equality justify steps b and d?


A. Multiplication Property of Equality; Subtraction Property of Equality

B. Subtraction Property of Equality; Division Property of Equality

C. Subtraction Property of Equality; Multiplication Property of Equality

D. Subtraction Property of Equality; Subtraction Property of Equality

Answers

C. Subtraction Property of Equality; Multiplication Property of Equality

For the first one, you are subtracting 7 from both sides (step b), to help isolate the y

since you are both subtracting, and "both sides" (meaning there is a equal sign) it is Subtraction Property of Equality.

For the second one, you are multiplying 2 from both sides (step d), to help isolate the y

since you are multiplying, and "both sides" (meaning there is a equal sign), it is Multiplication Property of Equality


hope this helps

C) Subtraction Property of Equality; Multiplication Property of Equality

- Prodixy ☕

Factor completely, then place the answer in the proper location on the grid. a ^2 - 25b ^2

Answers

Answer:

[tex](a+5b)(a-5b)[/tex]

Step-by-step explanation:

[tex]a^2 - 25b ^2[/tex]

Factor completely

write 25 in square form , 25= 5^2

[tex]a^2 -5^2b ^2[/tex]

[tex]a^2 -(5b)^2[/tex]

Apply difference of squares formula to factor it

[tex]x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]a^2 -(5b)^2[/tex]

x= a  and y=5b

[tex](a+5b)(a-5b)[/tex]

Can you check my answer?
Which of the following is an example of why irrational numbers are 'not' closed under addition?

√4 + √4 = 2 + 2 = 4, and 4 is not irrantonal
1/2 + 1/2 = 1, and 1 is not irrational
√10 + (-√10) = 0, and 0 is not irrational
-3 + 3 = 0, and 0 is not irrational

I was thinking:
–3 + 3 = 0, and 0 is not irrational
because it came up with a different number besides 3.,

Answers

-3+3 = 0 is an example of adding two rational numbers to get another rational number.

-3 = -3/1
3 = 3/1
0 = 0/1
each can be written as a fraction of whole numbers, so that's why they are rational

The actual answer is choice C

We are adding the square root of 10, written sqrt(10) in shorthand, to the negative version of the same number. Doing so leads to 0. This is using the property x + (-x) = 0. The left hand side of choice C has two irrational numbers. They add to 0 on the right hand side which is rational. The fact that we added two irrational numbers to get an rational result indicates that irrational numbers are not closed under addition.

ASAP PLEASE:

Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.

Answers

Green line is diameter
Blue line is a secant
Red is radius 
the top purpulish pink is tangent
the one from C to A is chord
minor arc would be AD
point of tangency is the yellow point

A manufacture of skateboards offered a 5/2/1 chain discount too many customers. Bobs sporting goods ordered 20 skateboards for a total of $625 list price. What was the net price of the skateboards?

Answers

A discount string 5/2/1 means the following:
 1) Apply 5% discount to the original price.
 2) Apply 2% discount to the result of step 1).
 3) Apply 1% discount to the result of step 2).
 We have then that the result will be given by:
 625 * (0.95) * (0.98) * (0.99) = 576.05625 $
 Then, the price of each skateboard is:
 (576.05625) /20=28.8028125 $
 Answer:
 
The net price of the skateboards was:
 
28.8028125 $

99 POINTS!!!!! FAST

Which set represents the domain of the function shown?

{(−3, 6), (0, 2), (4, 7), (11, 15)}

A. {(6, −3), (2, 0), (7, 4), (15, 11)}

B. {2, 6, 7, 15}

C. {−3, 0, 4, 11}

D. {−3, 0, 2, 4, 6, 7, 11, 15}

(P.S. The 99 points were obviously fake XD)

Answers

The domain is always the number on the left - it would be C. If it helps in the future, the range is always on the right. 

The Domain of the function {(−3, 6), (0, 2), (4, 7), (11, 15)} is  

What is Domain of Function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input.

Given:

Set :{(−3, 6), (0, 2), (4, 7), (11, 15)}

So, the Domain is the input value

Domain = { -3, 0, 4, 11}

and, the range is output value

Range= {6, 2, 7, 15}

Hence, the domain is { -3, 0, 4, 11}.

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The circle above has a radius of 9 cm. What is the area of the circle?

(Use PI = 3.14)

Answers

3.14*9^2=254.469

answer: 254.469
The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula A=πr^2, where r is equal to the radius of the circle.

On this exercise is given that the radius of the circle is 9 cm and it is asked to find its area and use 3.14 as the value of π. Therefore, to find the area of the circle you should substitute the value of the radius and the value of pi into the formula A=πr^2.

A=πr^2
A=(3.14)(9)^2
A=(3.14)(81)
A=254.34

The area of the circle is 254.34 cubic centimeters.

The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?

Answers

[tex]\bf \begin{array}{ccll} floors&seconds\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 80&45\\ f&9 \end{array}\implies \cfrac{80}{f}=\cfrac{45}{9}\implies \cfrac{80\cdot 9}{45}=f[/tex]

if mnp has vertices at m (-5,-7) , N (7,-2) andcp (2,10) is mnp isoscles?

Answers

check the picture below.

now, clearly the longest side is MP, and for a triangle to be an isosceles, it has to have two equal sides, so two sides must be twins.

since MP is the longest one, that only leaves out NP and NM, are they twins?

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &P&(~ 2 &,& 10~) \end{array}\\\\\\ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{[2-7]^2+[10-(-2)]^2}\implies NP=\sqrt{(2-7)^2+(10+2)^2} \\\\\\ NP=\sqrt{(-5)^2+12^2}\implies NP=\sqrt{25+144}\implies \boxed{NP=13}[/tex]

and now let's check NM

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &M&(~ -5 &,& -7~) \end{array}~~~ \\\\\\ NM=\sqrt{[-5-7]^2+[-7-(-2)]^2}\\\\\\ NM=\sqrt{(-5-7)^2+(-7+2)^2} \\\\\\ NM=\sqrt{(-12)^2+(-5)^2}\implies NM=\sqrt{144+25}\implies \boxed{NM=13}[/tex]
My graphing program shows two of the side lengths are the same.

ΔMNP IS isosceles.

PLZ HELPP FAST
Solve the triangle. A=44 degrees, a = 7,b=8

Answers

Answer: the sides are a = 7, b = 8, c = 10.

Explanation:

1) Use the law of sines:

  sin(A)         sin(B)
----------- =   --------- =>
     a                 b
 
2) Solve for B:

sin(B) = b * sin(A) / a = 8 * sin(44°) / 7 = 0.79389528

=> B = arcsin(0.79389528) = 52.55°

3) A + B + C = 180° => C = 180° - A - B = 180° - 44° - 52.55° = 83.45°

4) Use the law of sines again:

   sin(A)          sin(C)
------------- = -------------
      a                  c

5) Solve for c:

c = sin(C) * a / sin(A) = sin(83.45°) * 7 / sin(44°) = 10.0

Answer: a = 7, b = 8, c = 10.

The result of rounding the whole number 53,679,012 to the nearest millions place is: 53,000,000. 50,000,000. 53,600,000. 54,000,000.

Answers

To round it to the nearest millions place it would be 54,000,000

Final answer:

The number 53,679,012 rounded to the nearest million is 54,000,000. The digit in the hundred thousands place determines whether to round up or down. In this case, since it's a 6 (which is >= 5), we round up.

Explanation:

Rounding Whole Numbers to the Nearest Million

To round the whole number 53,679,012 to the nearest million, we need to look at the digit in the hundred thousands place, which is 6. Since this digit is 5 or greater, we round up. Therefore, we increase the digit in the millions place by one, giving us 54,000,000 as the rounded number to the nearest million.

For example, consider another number like 52,700,000. Using the same rounding principle, since the digit in the hundred thousands place is 7, which is greater than 5, we would round up to 53,000,000.

When rounding large numbers, the key is to look at the digit immediately to the right of the place value you are rounding to. If this digit is 5 or higher, you round up, and if it is 4 or lower, you round down.

PLEASE someone help me on this
I would appreciate it.

Answers

2x-y =3
multiply by 4
8x - 4y = 12
3x +4y = 10 (unchanged equation)
------------------add
11x = 22

answer is A. the first.
first equation multiplied by 4 then sum to get 11x = 22

Choose the correct simplification of the expression (a2)3. a5 a8 a a6

Answers

your answer is the last choice

Answer:

The correct answer is A to the 6th power, A^6

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^2*3 (* means times) (^ means to the power)

Second refine.

You would get A^6.

The answer is A^6.

PLEASE HELP ASSSAAAPPPPP

Answers

B. would be your answer, I'm almost 100% sure.

Brainliest?
It would mean a lot!

Which of the following ordered pairs is a solution to y = 2x?

(3, 6)
(3, 8)
(3, 9)
(3,27)

Answers

The first option (3, 6) because 6= 3(2).

Answer:

The answer is (3, 8)

Step-by-step explanation:

so next time you try to make a exponent use ^ exsample 3^9  3 to the power of 9 anyways since the x axis or sum is 3 it is y = 2^3 multiply it so 2 x 2 x 2 = 8 so that answer is (3, 8)

if correct please crown

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The area of a regular octagon is 35 cm2. What is the area of a regular octagon with sides five times as long?A. 625 cm2B. 875 cm2C. 175 cm2D. 245 cm2 Identify one difference in the way elites used art or architecture in europe and in asia during the period 1450-1750 The powerful, industrial families in Japan were known as kamikaze shogun zaibatsu samurai Complete the following application as if you were applying for a position on the local newspaper as a typist, reporter, or editor. You are not required to use your own personal information (i.e. use a false name, address, etc.).WEEKLY POST COURIER APPLICATION Name (Last, First, MI):_________________________ Date:_____________ Address: __________________________________ City:_______________ State:___ Zip:____________ Phone: (___)________ Recommending Teacher:_________________________ Grade Average:________ Recommending Teacher's Phone:(___)__________ Writing Experience: Please write a short essay explaining why you should be considered for this position. Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2. Raj and Nicoles polynomial expressions are added to create a sum, written in standard form.What can you determine about the degree of the sum?The sum will be degree .What can you determine about the number of terms of the sum?The maximum number of terms of the sum is , but it could be less. Bees and flowers both belong to the domain Eukarya. Using this information, how are bees and flowers similar?Both must belong to the same kingdom as well. Both are made of cells that contain a nucleus. Both are made of cells without any membranes. Both are some of the oldest types of organisms found on Earth.40 pointshelp Melinda needs 6 gallons of punch for her party. the grocery only sells quarts of punch. how many quarts will she need? Second only to Agriculture, many workers in the West worked in what industry? In which process does the cell use a vesicle to move molecules out of the cell? what is the inverse of the function f(x) = 4x + 8 a. h(x) 1/4 x - 2 What context-clue technique can you use to determine the meaning of consequential damages? What is the quotient of -3/8 and -1/3 Consider the cladogram. mc014-1.jpg Which group of organisms has the derived characteristics of true tissues, bilateral symmetry, and a pseudocoelomspongesroundwormsannelidschordates log(2x+1)=1+log(x-2) What is the formula for copper(ii) phosphate? capitalization and punctuation count!? Which verb form correctly completes this conversation? Laura: Qu te aconsej el mdico? Julia: Me aconsej descansar por unos das y me _________ esta medicina.recetaronrecetrecetasterecetamos earth's magnetic field affects what? How much heat (in kj) is released when 3.600 mol naoh(s) is dissolved in water? (the molar heat of solution of naoh is 445.1 kj/mol.)? Based on their positions in the periodic table, which of the following elements would you expect to have the highest electronegativity value? if a circle has a radius of 12 inches what is the arc length inside the interior angle 90 degrees