The side of an equilateral triangle is 12. Its area is
Select one:
a. 144
b. 72
c. 36 √3
d. 48

Answers

Answer 1

Answer:

area is 1/2bh

in an euqilateral triangle, all sides are equal so base and height are 12

1/2 x 12 x 12

1/2 x 144= 72 (B)

Answer 2

Answer: Choice C. [tex]36\sqrt{3}[/tex]

This is the same as writing 36*sqrt(3)

===================================================

Work Shown:

x = 12 = side length of equilateral triangle

A = area of equilateral triangle

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*12^2

A = 0.25*sqrt(3)*144

A = 0.25*144*sqrt(3)

A = 36*sqrt(3) .... answer is choice C

Side note: the area approximates to 62.354 square units.


Related Questions

MAKE SURE YOU ARE RIGHT ANSWER PLEASE I WILL PUT THE BRAINIEST ANSWER

FIND THE VOLUME OF THE SPHERE

Answers

Step-by-step explanation:

Formula:- 4/3*Pi*r^3

= 4/3*22/7*(1/2)^3

Please mark me as brainliest

If the circumference of the circle is 88 cm, then its radius is 14 cm. 


true or false? ​

Answers

Answer:

The radius is approximately 14 cm

Step-by-step explanation:

The circumference

C = 2 * pi *r

88 = 2 * pi *r

Divide by 2

44 = 3.14 *r

Divide by 3.14

44/3.14 = r

14.01273885=r

False is ur answer


88/2= 44

The probability of spinning blue on a spinner is 0.3. If the spinner is spun 40 times, estimate how many times you would spin blue. A 3-sided sninner is snun 10 time 1​

Answers

Answer:

12 times.

Step-by-step explanation:

That would be 40 * 0.3 = 12.

How would this quadrilateral be best classified, and what is the measure of Angle B?

Answers

Answer:

The quadrilateral is Rhombus

B=70°

Step-by-step explanation:

110+110+z+z=360

220+2z=360

2z=360-220

2z=140

z=140/2

Therefore, z=70

So Angle B=70

Since z= Angle B=Angle D

holaaaaaaaaaaaaaaaaa plz help i need this quick :)
Quadrilateral ARMY is rotated 90 degrees about the origin. Draw the image of this rotation.

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,

(x, y) → (-y, x)

Therefore, coordinates of the image point after the rotation will be (-y, x).

Following this rule,

Image points of the quadrilateral will be,

A(3, 3) → A'(-3, 3)

R(5, 7) → R'(-7, 5)

M(7, 5) → M'(-5, 7)

Y(5, 1) → Y'(-1, 5)

By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.

Answer:

I got my answer on Khan Academy:

The perimeter of the figure below is 41.6 in. Find the length of the missing side. (Note: diagram is NOT to scale)

Answers

Answer:

[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Find the midpoint of the line segment.

Answers

Answer:

-2,-3

Step-by-step explanation:

A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
piece is 5 times as long as the first piece. Find the length of the longest piece.

Answers

Answer:  40 inches

==========================================================

Explanation:

x = first piece2x = second piece, since its twice as long as the first5x = third piece, since its five time as long as the first

x is some positive real number, and the units of each are in inches.

Add up the smaller pieces and we should get 64 inches back again

x+2x+5x = 64

8x = 64

x = 64/8

x = 8

The first piece is 8 inches long.

2x = 2*8 = 16 is the length of the second piece (in inches)

The third piece is 40 inches because 5x = 5*8 = 40

--------

Summary:

first = 8 inches

second = 16 inches

third = 40 inches

Check: 8+16+40 = 64, which confirms the answer

…aniwwjwwjaoqkqwgahw qjauaaj

Answers

Answer:

Undefined

Step-by-step explanation:

Lim x - - > 1(1 /In(2-x) + 1/(x-1))

To find the limit as x tends to 1

Substitute x = 1 into the function ;

(1 / In(2 - 1) + 1 / (1 - 1))

(1 / In 1) + (1 / 0)

1 / 0 + 1 / 0

Undefined

PLEASE HELP!!

Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres.

The upper bound for her measurement is 12.35 m.
Write down the measurement she records.

Answers

Answer:

1230 cm

Step-by-step explanation:

convert metres to centimetres.

the answer must be less than upper bound.

[tex]1225 \leqslant 1230 < 1235[/tex]

write the reciprocal
[tex] \frac{3}{8 } = [/tex]

Answers

Answer:

8/3

Step-by-step explanation:

The reciprocal is just the fraction but flipped

The reciprocal of [tex]\frac{3}{8} [/tex] is [tex]\frac{8}{3} [/tex].

Explanation:

Reciprocal is defined as the inverse of a value or a number.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

which of the following is a geometric sequence? ​

Answers

Answer:

The right answer is a.

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST

Solve for x.
1)
15x - 5
13x + 9
A) 6
C) 9
B) 3
D) 7

Answers

Answer:

D) 7

Step-by-step explanation:

Vertical pair meaning that the two angles are congruent meaning that they are equal to each other. So 15x-5=13x+9. Subtract 13x to get 2x-5+9. Then ad five to each side to get 2x=14 and divide each side by 2 to get x equals 7. Hope I helped and post more questions :)

Which angles are vertical?


∠PKO and ∠MKN

∠LKM and ∠MKN

∠PKO and ∠PKL

∠MKN and ∠OKN

Answers

Answer:

Step-by-step explanation:

Answer: ∠PKO and ∠MKN

Explanation: Angles that are opposite each other when two lines intersect each other are vertical angles.

The correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.

The angles that are vertical are angles that are opposite each other when two lines intersect. In the given options, ∠PKO and ∠MKN are vertical angles because they are opposite each other when lines PK and KM intersect.

To understand why these angles are vertical, let's look at the lines PK and KM intersecting at point K. When two lines intersect, they form four angles around the point of intersection.

In this case, we have ∠PKO, ∠MKN, ∠OKN, and ∠PKL. Now, let's focus on ∠PKO and ∠MKN. These angles are opposite each other when lines PK and KM intersect at point K.

In other words, if you extend lines PK and KM, ∠PKO and ∠MKN are on opposite sides of the intersection point K. On the other hand, ∠LKM and ∠PKL are not vertical angles because they are not opposite each other when lines PK and KM intersect.

Similarly, ∠MKN and ∠OKN are not vertical angles because they are not opposite each other when lines PK and KM intersect. Therefore, the correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.

To Know more about angles  here

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What is a cubic function

Answers

Answer:

In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distribution that corresponds to the following z-score:
z=3

Answers

Answer:

The data item is [tex]X = 580[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that [tex]\mu = 400, \sigma = 60[/tex]

z=3

We have to find X when Z = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]3 = \frac{X - 400}{60}[/tex]

[tex]X - 400 = 3*60[/tex]

[tex]X = 580[/tex]

The data item is [tex]X = 580[/tex]

Help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

Always a parabola or U Shaped

U shaped or by rotating U it will be like intersect symbol.. You can see it in attached file

find the equation of the line shown
y =6 x=4

Answers

y - 6 = 0 ................ equation 1

x - 4 = 0 ................ equation 2

Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?

Answers

Answer:

Step-by-step explanation:

A + B = 750

A = 1.5 B

~~~~~~~~~~~~~~

750-B = 1.5 B

750 = 1.5 B + B

750 = B(1.5 +1)

750 = B (2.5)

B = 300

A = 450

what is the value of a+bc when a=4, b=6 and c =2? also please include how to do it step by step :)

Answers

Answer:

16

Step-by-step explanation:

a+bc

a+(b×c)

4+(6×2)

4+12

answer=16

Using the table of ordered pairs, which equation shows the linear relationship between the x and y values?

---- ----

x|y

-2|2

1|5

3|7

---- ----

A. y = x + 4

B. y = -x

C. y = x - 4

D. y = 4 - x

Answers

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b (m = slope; b = y-intercept)

I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line

m= (y₂ - y₁)/(x₂ - x₁)

(5-2)/(1--2) = 3/3= 1

y = 1x + b

using point (1, 5)

5 = 1(1) + b

5 = 1 + b

b = 5-1

b=4

y= 1x + 4 or simply y= x + 4

Answer:

A y = x + 4

yeh i did the test

Step-by-step explanation:

Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?

Answers

Answer:yes

Step-by-step explanation:66

The given statement  A U (B - C) = (A U B) - C is true.

What is a set ?

A set is collection of well defined objects.

According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.

Lets consider we have three sets A, B and C and we also consider they intersect each other.

( B - C ) represents the elements which belongs to B but not in C.

∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.

AND

( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.

learn more about sets here :

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The system of equations Y equals -1/5 X -6 and Y equals negative 2X +3 is shown on the graph below

Answers

Answer:

The solution of the system is  (5, -7)

Step-by-step explanation:

Here we have the system:

y = (-1/5)*x - 6

y = -2*x + 3

We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.

We know that:

y = (-1/5)*x - 6

y = -2*x + 3

Then, we can write:

y =  (-1/5)*x - 6 = y =  -2*x + 3

This leads to:

(-1/5)*x - 6  = -2*x + 3

Now we can solve this for x.

(-1/5)*x + 2*x = 3 + 6

(-1/5)*x + (10/5)*x = 9

(9/5)*x = 9

x = (5/9)*9 = 5

x = 5

now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:

y = -2*x + 3 = -2*5 + 3

y = -10 + 3 = -7

y = -7

Then the solution is:

x = 5 and y = -7, or (5, -7)

Which line is a linear model for the data?
Please Please help me

Answers

Answer:

Top left graph

General Formulas and Concepts:

Statistics

Scatter PlotsBest Line of Fit

Step-by-step explanation:

The best linear model for the data would be the best line of fit for the data. We can eliminate the rightmost graphs as they have no correlation with the data.

Between the leftmost graphs, we can see that the top left graph would be choice as it encompasses most of the data/is more of the data's average than the bottom one.

A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5

Answers

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

 

A tank contains 1000L of pure water. Brine that contains 0.04kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.06kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min.
1. How much salt is in the tank after t minutes?
2. How much salt is in the tank after 60 minutes?

Answers

Answer:

1) x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

2) x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Step-by-step explanation:

1.-Quantity of salt in the tank after t minutes

The rate  of change of the quantity of salt in the tank is:

dx(t) /dt   =  original quantity (0) + input quantity - output quantity  (1)

quantity = concentration* rate   Then

input quantity   =  0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min  =  0.2 Kg/min

+ 0.6  Kg/min  =  0,8 Kg/lt

output quantity =  Output concentration * rate of draining

rate of draining = 15 Lt/min

The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant  1000Lt.

output quantity = (x/1000 )*15

Plugging these values in equation (1) we get.

dx/dt  =  0,8  -  ( x/1000)* 15

The last one is a differential first-order equation like

x´ +  P(t)*x = q(t)

and the solution is:

x*μ   =  ∫ q(t)*μ*dt  + C

where    μ  is the integration factor   e ∧ ∫p(t)*dt

let´s call  b = -15/1000

μ = e ∧ ∫p(t)*dt  =  e∧∫ b*dt  =  e∧ b*t = e∧ ( -15/1000)*t

μ  =  e∧ - (15/1000)*t

Then  x*μ    =   x *  e∧ - (15/1000)*t

∫ q(t)*μ*dt  = ∫  0.8 * e∧ - (15/1000)*t*dt  =  0.8 * ∫ e∧bt * dt  

 ∫ q(t)*μ*dt  = 0.8 * ( 1/b ) e∧bt  = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t

∫ q(t)*μ*dt  = - (12/1000)*  e∧ ( - 15/1000)*t

 

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t + C

Initial condition  t = 0  x = 0

0  =  - (12 / 1000 )* e⁰ = C

C = 12/1000

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000

x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

When t = 60 min

x =   [ - (12/1000)*  e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12

x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Help help help help help

Answers

Answer:yo we talking the same test

Step-by-step explanation:

Insta= santiagorez

Answer:

Radius , r = 5 units

Step-by-step explanation:

The standard form of a circle's equation:

  [tex](x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.[/tex]

Given equation :

  [tex]x^2 - 2x + y^ 2- 4y = 20\\\\[/tex]

Find radius .

Convert the given equation into standard form.

[tex](x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\[/tex]

Now add both equations :

  [tex](x - 1)^2 + (y - 2)^2 = r^2[/tex]

[tex](x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2[/tex]          [tex][ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ][/tex]

[tex]25 = r^2 \\\\5 = r[/tex]

Review the graph.

On a coordinate plane, a circle has center (1, 0) and radius 5. Another circle has center (0, negative 4) and radius 4. Everything inside the second circle and between the first circle is shaded.

Which system of inequalities has the solution set shown in the graph?

25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2

Answers

Answer:

second option

Step-by-step explanation:

[tex]shaded~area\\(x-1)^2+y^2<25\\and\\(x+4)^2+y^2<16[/tex]

Answer:

A

Step-by-step explanation:

edge

not sure if this is the right question so i dont know if we're thinking about the same question...

A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces (in ounces). When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans. Find an equation that gives the yield y when n stalks are planted.

Answers

Answer:

[tex]y = -\frac{1}{2}n + 15[/tex]

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

[tex]y(n) = an + b[/tex]

In which a is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans.

This means that we have these following two points: (30,30) and (34,28).

Finding the slope:

When we have two points, the slope is given by the change in the output y divided by the change in the input n.

Change in the output: 30 - 28 = 2.

Change in the input: 30 - 34 = -4. So

[tex]a = \frac{2}{-4} = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}n + b[/tex]

Finding b:

When [tex]n = 30, y = 30[/tex]. We replace this into the equation to find b. So

[tex]y = -\frac{1}{2}n + b[/tex]

[tex]b = -\frac{1}{2}(30) + 30[/tex]

[tex]b = -15 + 30 = 15[/tex]

So

[tex]y = -\frac{1}{2}n + 15[/tex]

14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..

15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?

16 is not part

Answers

Answer:

1) divide 123/7 and get the answer

2) multiply 7 by 4.50 and get the answer

Step-by-step explanation:

Other Questions
A stock has a market price of $25 and a standard deviation of returns of 24 percent. The $25 call option matures in 4 months and the risk-free rate is 2.89 percent. N(d1) is .555198 and N(d2) is .500096. What is the value of the call option per share of stock Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the drivers head during a crash test is equal for each types of car. Use = 5%. Table ANOVA.1 Compact cars Midsize cars Full-size cars 643 469 484 655 427 456 702 525 402 X 666.67 473.67 447.33 S 31.18 49.17 41.68 The weight, in pounds , of Mike's five pet dogs are listed below.What is the mean absolute deviation (MAD) of the weights?16 , 23 , 27 , 41 , 53Type the answer in the box.______ pounds A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.Treating the fee as interest paid, what is the equivalent annual interest rate? how do a great white shark hide from predators Analyze the key features of the graph of f(x) shown below. Use rules of transformations and the parent function to formulate an equation for the rational function shown in the graph. Show all your work. What happens when the multiplicity of a real root is even? Los personajes nos provocaban miedo. El miedo no provena de la forma monstruosa de los personajes, sino de la ambientacin monstruosa que se generaba cuando uno de los personajes se presentaba en escena. b- Reescrib el texto utilizando los procedimientos de cohesin que aprendiste Solve the system by substitution. = xx + y = -30 Carmen Camry operates a consulting firm called Help Today, which began operations on August 1. On August 31, the company;s records show the following accounts and amounts for the month of August. Use this information to prepare an August statement of retained earnings for Help Today. (Amounts to be deducted should be entered with a minus sign.) Cash $ 25,360 Dividends $ 6,000 Accounts receivable 22,360 Consulting fees earned 27,000 Office supplies 5,250 Rent expense 9,550 Land 44,000 Salaries expense 5,600 Office equipment 20,000 Telephone expense 860 Accounts payable 10,500 Miscellaneous expense 520 Common stock 102,000 Use the above information to prepare an August statement of retained earnings for Help Today. The Retained Earnings account balance at August 1 was $0. Hint: Net income for August is $10,470. Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-AngleIdentities.A. 8sin(x) cos(x) - 4 sin(x) cos(x)B. 8sin(x) cos(x)C. 8sin(x) cos(x) 8 sin(x) cos(x)D. 8 sin(x) cos' (x) +8sin(x) cos(x) Read the following scenario. A clothing company wants to expand into new regions. It is looking at an urban area with a large number of vacant warehouses. The population is made up of people with average educations and a lower standard of living. The company is experiencing slower sales but has hopes that product will take off and be successful. Which of the factors of production will the company need to address most closely when making its decision to expand? Kurt has 25/50/25 auto insurance coverage. One evening he lost control of his vehicle, hitting a parked car and damaging a storefront along the street. Damage to the parked car was $9,000, and damage to the store was $20,300.Required:a. What amount will the insurance company pay for the damages?b. What amount will Kurt have to pay? as a result of its location in west Asia the Arabian Peninsula: A)all of the choices are correct B)was isolated from the civilizations of the world C)become an important center for trade D)had a pleasant. Mediterranean climate Part A The Oracle Arena has 6,800 seats. Tickets for 60% of the total number of seats were sold. How many tickets were sold? Show your work and write your answer in the box below. Remember to include the correct unit with your answer. Suppose a jar contains 8 red marbles and 25 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. The relative density ofbrass is 8.4. Which ofthe following is the BEST statement that canbe made?(A)(B)(C)Brass is heavier than water.Water is heavier than brass.100 cm' of brass is heavier than 100cm' of water.100 cm'ofwateris heavier than 100cm of brass.(D) Match each Earth scientist to the task he or she is most likely to perform.astronomerstudying waves, currents, and tidesenvironmental scientistcollecting rock samples from the site of avolcanometeorologiststudying the life cycle of a staroceanographertesting water samples to analyze effects ofpollutiongeologistpredicting weather patterns in a particularregion Find the solution to the equation 4r + 2(r - 8) = 4(3 + r). what is 2,457,310 rounded to the nearest thousand