Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).use ^2 for squared, ^3 for cubed,

Answers

Answer 1

The equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

The equation of a circle, with the center at the origin and the radius r units, is given as x² + y² = r².

In the question, we are asked to write the equation for a circle centered at the origin with x-intercepts of (-9, 0) and (9, 0).

We can find the radius of the circle using the distance formula,

D = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁, y₁) and (x₂, y₂) are the endpoints of a line segment.

Radius is the distance between the center and any point on the circle.

Thus, taking (x₁, y₁) as (0, 0), the origin, for the center, and (x₂, y₂) as (9, 0), for any point on the circle, we get the radius as:

r = √((9 - 0)² + (0 - 0)²),

or, r = √(9² + 0²),

or, r = √9² = 9.

Thus, the radius of the circle is r = 9 units.

Thus, the equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

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Related Questions

If f(x) = x/3 and g(x)=1/x find f(x)-g(x)
A.
x-1/3-x
C. 1/3
B. x²-3/3x
D. 3-x²/3x

Please select the best answer from the choices provided

Answers

Answer:

x^2-3/3x

Step-by-step explanation:

x/3-1/x

=x*x-1*3/3*x

=x^2-3/3x

hey can someone give me the answer to the problem

Answers

a. The rocket splashes down after 63.94 seconds.

b. The rocket peaks at 7386.68 m

a. How to find when the rocket splashes down?

Since the height of the rocket is h(t) = -4.9t² + 370t + 402, the rocket splashes down when h(t) = 0.

So, h(t) = 0

-4.9t² + 370t + 402 = 0

Using the quadratic formula, we find t.

[tex]t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

where a = -4.9, b = 370 and c = 402

So, [tex]t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}\\= \frac{-307 +/- \sqrt{(307)^{2} - 4(-4.9)(402)} }{2(-4.9)}\\= \frac{-307 +/- \sqrt{94249 + 7879.2} }{-9.8)}\\= \frac{-307 +/- \sqrt{102128.2} }{-9.8)}\\= \frac{-307 +/- 319.58}{-9.8)}\\= \frac{-307 + 319.58}{-9.8)} or \frac{-307 - 319.58}{-9.8)}\\= \frac{12.58}{-9.8)} or \frac{-626.58}{-9.8}\\= -1.28 or 63.94[/tex]

Since t cannot be negative t = 63.94 s

So, the rocket splashes down after 63.94 seconds.

b. How to find the peak of the rocket?

Since h(t) = -4.9t² + 370t + 402, to find the time the rocket reaches it peak, we differentiate h(t) with respect to t and equate to zero.

Soi, dh(t)/dt = d(-4.9t² + 370t + 402)/dt

= -9.8t + 370

dh(t)/dt = 0

-9.8t + 370 = 0

-9.8t = -370

t = -370/-9.8

t = 37.76 s

Substitung t = 37.76 into h(t), we have

h(t) = -4.9t² + 370t + 402

h(37.76) = -4.9(37.76)² + 370(37.76) + 402

h(37.76) = -4.9(1425.82) + 370(37.76) + 402

h(37.76) = -6986.518 + 13971.2 + 402

h(37.76) = 7386.682 m

h(37.76) ≅ 7386.68 m

So, the rocket peaks at 7386.68 m

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A movie hall has 295 seats. 198 of them are booked for a show. about how many more tickets need to be sold for the show to be houseful? note: round off the given numbers to the nearest hundred and estimate the answer.

Answers

Answer:100

Step-by-step explanation: The question asks us to round the given numbers to the nearest hundred. 295 rounded to the nearest hundred is 300 and 198 rounded to the nearest hundred is 200. 300-200 is 100, so they need to sell 100 more tickets for the show to be houseful.

What form of deductive reasoning is used in the given argument? a number ends in , then it is divisible by 10. a number is divisible by 10, then it is divisible by 5 a number ends in , then it is divisible by law of detachment . law of syllogism law of contrapositive . Identification of counterexample

Answers

The form of deductive reasoning used in the given argument is; Law of Syllogism

How to identify the Logic Law used?

The argument we are given is;

If a number ends in 0, then it is divisible by 10.

If a number is divisible by 10, then it is divisible by 5.

If a number ends in 0, then it is divisible by 5.

The law used for the deductive reasoning in the given argument is called Law of Syllogism. This is because this law of mathematical logic states that;

If the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement:

(3) If p , then r .

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Measures of central tendency are called such because __________. a. they all find a different "center" of a data set b. they all find approximately the same "center" of a data set c. they are all different ways to find the exact same "center" of a data set d. they all find a different type of "center" of a data set, which may or may not be the same value

Answers

Measures of central tendency are called such because they all find approximately the same "center" of a data set (option B).

What are measures of central tendency?

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Mode refers to a value that appears most frequently in a data set.

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I have 90% after about 75%
of the semester. What's the
lowest grade I could earn at
the end of the semester?

Answers

The lowest grade he could earn is 120% of the grade at the end of the semester.

The following statement is given:

I have 90% after about 75% of the semester.

We are asked to find the lowest grade by the end of this semester.

What is Percentage?

A percentage is a number expressed as a fraction of 100.

- 50% = 50/100 = 1/2

- 25% = 25/100 = 1/4

- 20% = 20/100 = 1/5.

We can write this statement "I have a 90% grade after about 75% of the semester" as:

90% grade  =  75% semester.............(1)


By the end of the semester means at 100% semester.

Multiplying equation (1) by 100/ 75 on both sides of the equation.

We get,

(100/75) x 90% grade = (100/75) x 75% semester

(100 x 90)/75 % grade = 100% semester

120% grade = 100%

Thus the lowest grade he could earn is 120% of the grade at the end of the semester.

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In the diagram below, if arc AB measures 62 ° and arc DC measures 102 °, find the measure of < APD.

Answers

The measure of angle < APD = 98°. That is option D

Calculation of the missing angle

Angle APB = 62°

Angle DPC = 102°

But length AD = BC

Therefore, angle APD = BPC

Also, the angle at a point = 360°

The sum of the angles given = 102 + 62 = 164°

The remaining angle = 360 - 164 = 196°

Therefore angle APD = 196/2 = 98°

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Trigonometry Question:
Find all solutions on the interval [0,2π)
12sin^2(x)+cos(x)-6=0

Answers

Recall the Pythagorean identity,

[tex]\sin^2(x) + \cos^2(x) = 1[/tex]

Use it to rewrite the equation in terms of cos only.

[tex]12 (1 - \cos^2(x)) + \cos(x) - 6 = 0[/tex]

[tex]-12 \cos^2(x) + \cos(x) + 6 = 0[/tex]

Factorize the left side.

[tex]-(3\cos(x) + 2) (4\cos(x) - 3) = 0[/tex]

Solve the two cases for [tex]\cos(x)[/tex].

[tex]3 \cos(x) + 2 = 0 \text{ or } 4\cos(x) - 3 = 0[/tex]

[tex]\cos(x) = -\dfrac23 \text{ or } \cos(x) = \dfrac34[/tex]

From the first equation, we get one family of solutions:

[tex]\cos(x) = -\dfrac23[/tex]

[tex]x = \cos^{-1}\left(-\dfrac23\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(-\dfrac23\right) + 2n\pi[/tex]

From the second equation, we get another family:

[tex]\cos(x) = \dfrac34[/tex]

[tex]x = \cos^{-1}\left(\dfrac34\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(\dfrac34\right) + 2n\pi[/tex]

where [tex]n[/tex] is an integer.

We get solutions in the given domain for

[tex]n = 0 \implies \boxed{x = \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = \cos^{-1}\left(\dfrac34\right)}[/tex]

[tex]n=1 \implies \boxed{x = 2\pi - \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = 2\pi - \cos^{-1}\left(\dfrac34\right)}[/tex]

simplify (b^9)^3

A b^9
B b^6
C b^24
D b^27

Answers

Apply the exponent rule (x^a)^b= x^ab.

(b^9)^3= b^9*3= b^27

help me 20 points and I will mark brainlyist

Answers

The distance between the means is equal to 8. The mean absolute deviation (MAD) for class A is equal to 2.The mean absolute deviation (MAD) for class B is equal to 2.Distance between the means = four (4) times the MAD.There is no overlap and the distance between the means of both players A and B is between one (1) times the MAD and five (5) times the MAD.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

What is a line plot?

A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

What is a mean?

A mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the distance between the means of both classes A and B is given by:

Distance = Mean of class A - Mean of class B

Distance = 12 - 4

Distance = 8.

The mean absolute deviation (MAD) for class A is given by:

MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]

MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]

MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]

MAD A = 1/9 × [18]

MAD A = 18/9

MAD A = 2.

Also, the mean absolute deviation (MAD) for class B is given by:

MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]

MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]

MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]

MAD B = 1/9 × [18]

MAD B = 18/9

MAD B = 2.

Therefore, distance between the means = four (4) times the MAD.

Distance = Means × MAD

8 = 4 × 2.

In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both players A and B is between one (1) times the MAD and five (5) times the MAD.

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In the xy-plane, the line y = 2x + b intersects the parabola y = x² + bx + 5 at the point (3, k). If b is a
constant, what is the value of k?

Answers

By algebraic handling, the value of k of the system of equations is equal to 2.

What are the values of two constants such that a system of equations has a single solution?

Herein we find a system formed by two equations, a linear function and a quadratic equation with the following characteristics:

y = x² + b · x + 5        (1)

y = 2 · x + b               (2)

If we eliminate y in (1) and (2), then we have this expression:

x² + b · 3 + 5  = 2 · x + b

3² + b · x + 5 = 2 · 3 + b

3 · b + 14 = 6 + b

14 = 6 - 2 · b

8 = - 2 · b

b = - 4

By (2), y = k, x = 3 and b = - 4, we find the value of k:

k = 2 · 3 - 4

k = 6 - 4

k = 2

By algebraic handling, the value of k of the system of equations is equal to 2.

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3. What is the missing term in the sequence below?
3, 6, 11, ?, 27, 38, 51

Answers

The answer would be 18

PLEASE HELP IM STUCK

Answers

The completed equations are:

2x + 3y = 80 equation 1

x + y = 37 equation 2

What are the completed equations?

In order to determine the number of each type of shots made, two equations would be derived based on the information provided in the question. These equations would be solved simultaneously in order to determine the required values.

[(type of basket made)x ]+ [(type of baskets made)y] = total number of points

2x + 3y = 80

x + y = total number of baskets

x + y = 37

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Order the steps needed to factor - 12a^3b^2 + 18a^2b

Answers

Answer:

12a^3b^2+18a^2b

Step-by-step explanation:

12 3b2+182b

Question 9 of 20:
Select the best answer for the question.
9. Select the proper order from least to greatest for 23.76.8.10 -
A. 8,3,10.76.
B.23,10.6.8.
C.8.10 6.2/3.
D.76%10.3.8.

Answers

Answer:

Please make the question clearer, but I would say B

Step-by-step explanation:

I am not sure what you mean, to me the question is unclear

Hurrrry helpppp show your work

Answers

Answer: 17

Step-by-step explanation:

substitute -3 for a and -5 for b. the equation will be[tex]\frac{(-3)^{2}+(-5)^{2} }{-3-(-5)}[/tex]. then when you simplify, you will get [tex]\frac{9+25}{-3+5}[/tex]. finally, add and you will get [tex]\frac{34}{2}[/tex] which is 17.

help me please 20 points

Answers

Based on the samples that the scientists picked, and the weight of these samples, the various sample means are:

3.4 pounds 3.4 pounds 3.6 pounds3.8 pounds

The range of the sample means is 0.4 pounds.

The true statements on the mean weights to be used by the scientists are:

A single sample mean will tend to be a worse estimate than the mean of the sample means. The closer the range of the sample mean is to 0, the more confident they can be in their estimate.

What does the means show?

First, find the sample means of each sample.

Sample 1:

= (3 + 2 + 6 + 4 + 2) / 5

= 3.4 pounds

Sample 2:

= (2 + 2 + 3 + 7 + 3) / 5

= 3.4 pounds

Sample 3:

= (6 + 4 + 2 + 2 + 4) / 5

= 3.6 pounds

Sample 4:

= (5 + 3 + 2 + 5 + 4) / 5

= 3.8 pounds

The range is;

= 3.8 - 3.4

= 0.4

The closer the range of the mean is to 0, the better the sample because it shows that in general, the sample means are the same. This is good for the research because it points to the uniformity of fish weights.

Using all the sample means as an average captures the data better than if a single sample mean is used.

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The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.

Answers

The interpretation of the slope is that (b) the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the slope?

From the table of values, we have the following points

(x, y) = (5, 5.5) and (10, 5)

The slope of the table of values is calculated as:

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

Substitute the known values in the above equation

m = (5 - 5.5)/(10 -5)

Evaluate the difference

m = -0.5/5

Evaluate the quotient

m = -0.1

This means that the slope is -0.1

From the table of values, we have

x represents the elapsed time and y represents the volume of helium

So, the interpretation of the slope is that (b) the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute

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The sum of three numbers is 134. The second number is 8 less than the first. The third number is 4 times the second. What are the numbers?

Answers

Answer:

29, 21, 84

Step-by-step explanation:

Let the first number be x.

The second number is x - 8.

The third number is 4(x - 8).

Their sum is 134.

x + (x - 8) + 4(x - 8) = 134

x + 5(x - 8) = 134

x + 5x - 40 = 134

6x = 174

x = 29

x - 8 = 29 - 8 = 21

4(x - 8) = 4(29 - 8) = 4(21) = 84

Adam says that the number 4 has for factors. explain why this statement is incorrect

Answers

Adam says that the number 4 has four factors. The above statement is incorrect as 4 only three factors 1,2, and 4.

What are the factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.Factors can be found using either division or multiplication. Rules of divisibility can also be applied. There are a finite number of factors for all integers.The factor of a number is never more than the number; it is always less than or equal to the number.Every integer, excluding 0 and 1, has a minimum of two factors: 1 and the actual number.Multiplication and division are used to find factors.

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Se the laplace transform to solve the given initial-value problem. y'' − y' = et cos t, y(0) = 0, y'(0) = 0

Answers

The solution to this problem is (s2+1)Y(s)−2s−1=2s2+4 .

We let  L[y(t)]=Y(s) . With that, tabular Laplace-transform laws entail

L[y′]=sY(s)−y(0)=sY(s)−2

L[y′′]=s2Y(s)−sy(0)−y′(0)=s2Y(s)−2s−1

∴L[y′′+y]=(s2+1)Y(s)−2s−1 .

Since the Laplace transform of  sin(kt)  is  ks2+k2 , we have

(s2+1)Y(s)−2s−1=2s2+4 .

This equation readily solves to  Y(s)=2s3+s2+8s+6(s2+1)(s2+4) . We compute its partial fraction decomposition as  Y(s)=2s+53s2+1+−23s2+4 .

Our final step is to use tabular Laplace-transform laws ( sin(kt)↦ks2+k2 , and  cos(kt)↦ss2+k2 ) to get  y(t)=2cost+53sint−13sin(2t) . One can check that this indeed satisfies the initial value problem.

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Which power of Congress is the most important?
Select one:
O a. the authority to regulate commerce
O b. the authority to establish the federal courts.
O c. the authority to make laws
O d. the authority to coin money

Answers

C. The authority to make laws

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Answers

X=6 (work shown in picture)

whats the surface area of the rectangular prism

Answers

The surface area of the rectangular prism is 2(lw + wh + lh). A rectangular prism has six rectangular faces.

What is the area of a rectangle?

The area of a rectangle with length and width is

Area = length × width

I.e., A = l × w sq. units

How to calculate the area of the rectangular prism?

A rectangular prism has six rectangular faces and the length 'l', width 'w', and height 'h'.

So, the areas of each face are as follows:

A(R1) = l × w

A(R2) = l × h

A(R3) = w × h

A(R4) = l × w

A(R5) = l × h

A(R6) = w × h

Thus, the area of the prism = sum of areas of all the faces

⇒ Area of the prism = lw + lh + wh + lw + lh + wh

⇒ A = 2lw + 2lh + 2wh

⇒ A = 2(lw + lh + wh)

Therefore, the area of the rectangular prism is A = 2(lw + lh + wh).

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Solve the equation .

The solution of the equation is x =
.

Answers

In the  expression written below. the value of equation x  is known to be x=10/c.

What is the equation about?

From the question, we were given: 3(cx-7)=9

Therefore, we have to simply it to  make x the subject of the formula (to look for x)

Hence: 3(cx-7)=9

=(cx-7)=3

=cx=10  

x=10/c

Therefore, In the  expression written below. the value of equation x  is known to be x=10/c.

See full question below

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9

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PLEASE ANSWER AS QUICK AS POSSIBLE

Answers

Answer:

  (a)  h^-1(x) = (x+6)/6

Step-by-step explanation:

The inverse relation can be found by solving for y: x = h(y).

Solution

  x = h(y) . . . . . the inverse relation

  x = 6y -6 . . . . . use the function definition

  x +6 = 6y . . . . add 6

  (x +6)/6 = y . . . . divide by 6

The inverse function is ...

  [tex]\boxed{h^{-1}(x)=\dfrac{x+6}{6}}[/tex]

PLEASE HELP ITS MATH

Answers

Answer:

y=[-4]x+[10]

Step-by-step explanation:

For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.

The slope [tex]\frac{1}{4}[/tex] turns into [tex]\frac{4}{1}[/tex] and is then multiplied by -1 to become [tex]\frac{-4}{1}[/tex] which can be simplified down to: [tex]-4[/tex]

Now that we know the slope we need the line to pass through a point, so we will use point slope form:

[tex]y-y1=m(x-x1)[/tex]
Substitute in our slope and point values:

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

Now solve for y:

[tex]y-2=-4(x-2)\\y-2=-4x+8\\y=-4x+10[/tex]

Then you will find that line [tex]y=-4x+10[/tex] runs perpendicular to [tex]y=\frac{1}{4}x-8[/tex] and intersects point (2,2).

pls help or ill fail
BRAINLIST REWARD

1) Adrianna wants to purchase GoodLife membership.When she visits the website, shedecides she wants to purchase a plan that charges $25 per month and has an initial cost of $90.What is the linear equation that represents how much Adrianna has to pay GoodLife

2) Anthony wants to purchase a Disney+ subscription.He visits the website anddecides to sign up for a plan that charges $17 per month. If the plan has no initial cost, what isthe linear equation? How much will he spend after 5 months?

3) :Sebastian wants to purchase a Premium Spotify subscription to listen to musicoffline and without ads. The plan that he chose is $10 per month and costs $15 up front. Write alinear equation to represent the cost. How much will Sebastian spend after 1 year?

Answers

Answer:

1) c = 25m + 90

2) c = 17m; $85

3) c = 10m + 15; $135

Step-by-step explanation:

Let m = number of months

1)

c = 25m + 90

2)

c = 17m

For 5 months, m = 5.

c = 17m = 17 × 5 = 85

$85

3)

c = 10m + 15

1 year = 12 months, so m = 12

c = 10m + 15 = 10 × 12 + 15 = 120 + 15 = 135

$135

find the slope in the line 3-4

Answers

Answer:

-0.5, either ⅙ or ⅓

Step-by-step explanation:

slope = rise / run

3) slope = (6 - 7) / (3 - 1)

slope = -1 / 2

slope = -0.5

ur mouse is blocking 4 (I'll do 2 scenarios):

4) slope = (-4 - -5) / (2 - -4)

slope = 1 / 6

I will leave it in fractional form

4) slope = (-4 - -6) / (2 - -4)

slope = 2 / 6

slope = 1/3

slope = 0.33

un tablero de plastico)

Answers

Answer:

A plastic board

Other Questions
Please answer this question ASAP! The traffic lights at three different road crossings change after every 48, 72 and 108 seconds respectively. If they change simultaneously at 8 am, at what time will they change to again? I need help finding the quotient of this equation in simplified form. Suppose you invested $1000 every 3 months over a 15 year period. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period. How much is the interest earned? Show all your calculations Jorge is a very bright 10-year-old with a mental age of 14. If tested on the stanford-binet intelligence scale, his iq score would most likely be? Cube a and cube b are similar solids. the volume of cube a is 27 cubic inches, and the volume of cube b is 125 cubic inches. how many times larger is the base area of cube b than the base area of cube a? II. Read the text below and write the correct tense form and voice of the verbs in parenthesis (2 pts. each) I am from Gondar. My intimate friend in Wachemo University is Derartu who (1. stay) for two years in Wolega University before she -(2. Come) to Wachemo University last year. Because of our intimacy, we have made a promise to visit our each other's town. Our visit will be in the coming summer. I --(3. be the first) to go to Wolega before Derartu- (4. visit) my home town, Gondar. If I- (5. be) successful in visiting Wolega, it will be my first time to see it. III. Read the following sentences carefully and fill in the blank spaces with both the correct tenses and voices of the verbs in parenthesis (1 pt. each). Since we joined the university, we have been spending a good time with friends from various cultural backgrounds. Especially, the two friends from Somali made me to be more interested in --------(1. advise) me a lot. I everything I do to my academic success. If they would not have been succeeded in the previous semester. If I spend my time with friends like -(2. win) at least the gold medal of my them, I have no doubt that I college. Due to the good lesson I have learnt from my Somali friends, I would like to inform you to spend your precious time with good friends who may support you in your academic success. If (3. spend) a single minute with students who have (4. be) time to be wise I were you, I------- no vision. If you take my advice, I believe it from now on. Best of Luck! I will give brainliest to the first person to answer both questions and get them correct. The ____________________ on which firms are able to establish a competitive advantage are virtually endless. a. competitive dimensions b. economics c. strategy d. dynamics Briefly explain why only chromosomes of a homologous pair can have their alleles referred toas homozygous or heterozygous Hildren with ________ disorder may substitute one sound for another or omit final consonants, and their words come out like baby talk. a. specific learning b. childhood onset c. fluency speech d. sound language. Explain how you can take a supportive role to help someone achieve success, suchas with a sport, academic skill, talent, etc. (3-4 sentences) Julia heard a rumor about her neighbors and quickly went to tell her daughter. However, she was unable to tell her daughter where the rumor started. Which form of amnesia is Julia exhibiting Quick algebra 1 question for 10 points!Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help! Help please, i'm struggling ASAP for 30 points and ranking if i get it right Name two possible causes of metabolic acidosis diarrhea antacids aspirin constipation exercise vomiting alcohol diabetes? Pesto Company possesses 80 percent of Salerno Company's outstanding voting stock. Pesto uses the initial value method to account for this investment. On January 1, 2017, Pesto sold 9 percent bonds payable with a $10 million face value (maturing in 20 years) on the open market at a premium of $600,000. On January 1, 2020, Salerno acquired 40 percent of these same bonds from an outside party at 96.6 percent of face value. Both companies use the straight-line method of amortization. For a 2021 consolidation, what adjustment should be made to Pesto's beginning Retained Earnings as a result of this bond acquisition?a. $474,800 increase b. $460,800 increase c. $489,600 increase d. $467,800 increase Question 4 of 10A politician argues that no tax money should be used to fund a new library.Which statement, if true, would most suggest that the politician is motivatedby a personal bias?A. The politician promised to support education programs during hiscampaign.B. The politician owns a bookstore that could lose business to thelibrary.OC. The politician has become very unpopular with most voters.D. The politician previously supported funding for other publicservices.SUBMIT Powder-actuated tools are extremely dangerous, with a "firing" mechanism similar to that of:__________ Evaluate your work by answering these questions: how did this activity help you understand the roles and priorities of the federal government during obama's administration? what would you like to know more about? Uniquely among the arts, theatre focuses on one thing and one thing only. what is this one thing?