I don’t know 6-8 I need help. Please do not write random I fr need help

I Dont Know 6-8 I Need Help. Please Do Not Write Random I Fr Need Help

Answers

Answer 1

In functions, value of x = 45 and y = 45

What is function in math?

A quantitative expression, rule, or law that describes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions occur widespread, and they are essential for defining physical links in the sciences.

6)  x = 15

 y = 49

3x = 3 * 15 = 45

y - 4 = 49 - 4 = 45

7)  3x + 23 = 4x

    4x - 3x = 23

     x = 23

    y =  4 * 23 =   92°

8) y + 12 = 5x °

  3x + 50  =

According to the question

     y + 12 = 3x  + 50

      5x   = 3x + 50

      2x = 50

        x = 25

y + 12 = 5x °

y = 5 * 25 - 12

y = 125 - 12 =   113

 

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Related Questions

Use the point-slope form of the straight line to find the equation of the straight line which passes through the point (2, 1) and is parallel to the line 5x + y = 1.

Answers

Answer:

y=-5x+6

Step-by-step explanation:

the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5

Then you need to put it into point slope for to figure it out y-y1=m(x-x1)

y-1=-5(x-1) (simplify)

y-1=-5x+5 (add 1 to both sides)

y=-5x+6

Find an equation for the line below

Answers

y=−0.2x+2.2 is the equation of line  from the given graph .

How to find the equation of line ?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x.

Calculation

(-4 , 3 ) and ( 6 ,1 )

these are two points we will use to find the equation of the line

Slope is -0.2

Intercept is 2.2

y=−0.2x+2.2 is the equation of line

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For the graph of a function f(x, y) with coordinates (7,-4), (3, 5), and (-6, -2), what are the new coordinates given the
function translation f(x, y)-(-x, -y).
1 (-7,4), (3,-5), (6,2)
2 (7,4), (-3,-5), (6,2)
3 (7,-4), (-3,-5), (-6,-2)
4 (-7,4), (-3,-5), (6,2)

Answers

For the graph of the function, the new coordinates after the function translation is (D)  (-7,4), (-3,-5), and (6,2).

What is a graph of a function?To determine if a graph represents a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line touches it at more than one location. The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We could also say that the graph of f is the graph of y = f(x).

So, given function is f(x, y) with coordinates: (7,-4), (3, 5), and (-6, -2)

After function translation:  f(x, y)-(-x, -y)f(x, y) ⇒ (-7,4), (-3,-5), (6,2)

Therefore, for the graph of the function, the new coordinates after the function translation are (D)  (-7,4), (-3,-5), and (6,2).

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You manage a clothing store and budget $6000 to restock 200 shirts.
You can buy T-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each. If you want to have twice as many rugby shirts as polo shirts, how many of each type of shirt should you buy?

Answers

A fter solving system of equations, we can conclude that, you should buy 60 Polo Shirts, 20 T- Shirts, 120 Rugby Shirts.

Let, x be the number of T-shirts, y be the number of polo shirts and z be the number of rugby shirts

A clothing store and budget $6000 to restock 200 shirts.

So, we get an equation,

x + y + z = 200                      ...................(1)

If you want to have twice as many rugby shirts as polo shirts.

So, we get an equation,

z = 2y                                   ......................(2)

You can buy T-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each.

So, we get an equation,

12x + 24y + 36z = 6000

We rewrite above expression as,

x + 2y + 3z = 500                         ..............(3)

Now we substitute z = 2y, into equations (1) and (3)

x + y + 2y = 200

x + 3y = 200                               ..................(4)

and equation (3) becomes,

x + 2y + 3(2y) = 500

x + 8y = 500                               ...............(5)

After solving equations (4) and (5) we get,

y = 60 and x = 20

Now substitute above value of y in equation z = 2y

z = 2(60)

z = 120

Therefore, after solving system of equations, we can conclude that, you should buy 60 Polo Shirts, 20 T- Shirts, 120 Rugby Shirts.

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Evaluate the expression
x-y
if
x = -2
y = −3
z=5
Show your work.

Answers

Step-1: Planning

Given: x = -2; y = -3; z = 5

It is clear that a numerical term can only be evaluated from an expression filled with numbers (no variables). In the expression provided, we have two variables, where y is being subtracted from x.

The expression can't be simplified because there is no like terms in the expression. However, since there are specific numerical values for each variable, we can substitute the numerical values for the variables in the expression and simplify the expression.

Step-2: Solving

As planned, let's substitute the variables into the expression

⇒ x - y

Here, we know that x = -2 and y = -3.

⇒ -2 - (-3)

If -2 is being subtracted by a negative integer, the negative integer will become positive, and the "minus sign" will be converted to a "plus sign".

⇒ -2 + 3 = 1Step-3: Conclude

We can conclude that 1 is the solution to the expression.

Theo is going on holiday across Europe and needs to change pounds into other currencies.

Answers

Ai) 5575 Swedish kronor      500*11.15

Aii) 312.50 swiss frans      250*1.25

B) £345     407.10/1.18

Hope this helps, have a great day!!

An accountant receives a yearly salary of $72,000. Find his monthly salary.​

Answers

Answer:

6000

Step-by-step explanation:

6000

divide by 12

72000 ÷ 12 = 6000

part 2

often to get the yearly salary if you have an hour salary

quickest math to get that is to multiply by 20

so if someone makes 20 an hour its probably

40000 per year

Answer:

$6,000

Step-by-step explanation:

Because his yearly salary is $72,000 (72k).

You need to divide $72,000 by 12, because there is 12 months in a year.

Hope this helps! If you need further explanation, I’ll be happy to help!

<3

16 There are some children in a classroom.
The ratio of boys to girls is 3:1
(a) Work out the fraction of the children that are boys.

Answers

Ratio of number of boys to total number of children is 3:4 and number of girls is 8

What is ratio?

The comparison of two values using the same unit is called a ratio. Divide the first amount by the second to get it. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0.

Let the number of boys be 3x and girls be x.(As they are in ratio of 3:1)

a) Total number of children = 3x + x = 4x

Ratio of number of boys to total number of children = [tex]\frac{3x}{4x}[/tex]

= 3:4

b) As, number of boys are 24

3x = 24

x = 8

, number of girls = x = 8

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The Distributive Property Use the Distributive Property to rewrite each expression without parenthesis
1. 9(3x + 2) 2. -3(7 + 3p) 3. (2y + 7) 6

Answers

The distributive property should be used to rewrite each expression without parenthesis as follows:

9(3x + 2) = 27x + 18-3(7 + 3p) = -21 - 21p(2y + 7)6 = 12y + 42

What is the distribution property?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a specific number, the same output (result) would be produced as when each addend is multiplied respectively by the number, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

In conclusion, the distributive property of multiplication can be used to evaluate and rewrite a mathematical expression as shown above.

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How do I solve this by factoring

Answers

Antidisestablishmentarianism

A lifeguard spots a swimmer in the lake at an angle of depression
of 32°. He spots a sailboat, further out, at an angle of depression of 13°. If the lifeguard is 36.5 dm away from the swimmer and 84.7 dm away from the sailboat, how far is the swimmer from the sailboat? Round your answer to the nearest tenth of a dm
Help me please! thank you

Answers

Swimmer is 47 dm away from the sailboat.

The mentioned problem will use cosine trigonometric functions to find the distance between swimmer and sailboat. Assuming the distance between lifeguard and swimmer be x and the distance between lifeguard and sailboat be y.

Taking the triangle between swimmer and lifeguard -

cos theta = base/hypotenuse

cos 32 = x/36.5

x = 0.8×36.5

x = 29.2 dm

Taking the triangle between lifeguard and sailboat -

cos 13 = y/84.7

y = 0.9×84.7

y = 76.23 dm

Therefore, the distance between sailboat and swimmer is y - x

Distance = 76.23 - 29.2

Performing subtraction

Distance = 47.03 dm

Round to nearest tenth

Distance = 47 dm

Thus, the sailboat and swimmer are 47 dm apart.

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use the quadratic formula to find the solutions to the equation 3x^2-10+5=0

Answers

The answer is x = ±√15/3.


First, calculate the sum.

3x^2-5 = 0


Identify the coefficients.

a: 3 b: 0 c: -5


Then, use the quadratic formula.

-0 ±√0^2-4(3)(-5)/2 (3)

angle M measures 13°.
(a) Find the supplement of angle M.
(b) Find the complement of angle M.
(a) The supplement of angle M is ?

Answers

As a result, angle M's supplement is 167 degrees, while angle M's complement is 77 degrees.

What are supplementary angles?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees. If the two additional angles are combined, they create a straight line and an angle.

What are complementary angles?

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

So as per the given information:

we know that

a).  180-angle M=supplement of angle M

180-13=167 degree

b).  90-angle M=compliment of angle M

    =77 degree

Therefore, the supplement of the angle M is 167 degree and the complement of angle m is 77 degree.

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use order of operations to simply the expression.

Answers

Answer:

[tex] - 9 - |9 - 3 - 5 | \\ - 9 - |1| \\ - 9 - 1 \\ - 10[/tex]

Answer:  The correct answer is:  " - 10 ".

___________________
      However, this answer, " -10 ", does not correspond to any of the answer choices given.
___________________

Step-by-step explanation:

Given:  -9 −︱9 + (-3) + (-5)︱ ;

We are to simplify this expression by using the 'order of operations'—as follows:
__________________
BE  MD AS   ;  or:  PE  MD AS
       ⇒   ⇒                      ⇒    ⇒
__________________
  which is a mnemonic device to remember the "order of operations":
       Be Excused, My Dear Aunt Sally (Susan).

or:  Please Excuse My Dear Aunt Sally (Susan).

Note:  the "B" stands for "Brackets" ,
and the  "P" stands for "Parentheses."

Note that "parentheses" can function as "brackets."
The "E" stands for "Exponents".
 → The "Brackets/Parentheses" —if they occur; take priority.

Then:  MD for "Multiplication and Division" are the next priority;
           
________
 →  and that neither takes priority over the other. Take note of the " " symbol" below the "MD".  This means that we perform "multiplication and division"—as they occur, from the far left of ["beginning of"] the expression to the end of the expression.
 Then:  We do the same with "Addition and Subtraction"—from the beginning to the end of the expression, in that order [that is, from "left to right"—as/if they occur]—hence the "⇒" notation.
_____________________
So again, our given expression is:
 " -9 −︱9 + (-3) + (-5)︱ " ;

So; we have an "absolute value" (the positive integer of what is enclosed within the "vertical lines" that indicate "absolute value"—or, if the value of what is enclosed within the "vertical lines" is "0" [zero], then the absolute value would be "0" [zero]; since the absolute value of 0 is 0.
____________
So, let's start simplifying by using the 'order of operations.'
  Do we have brackets or parentheses?  No; except for the absolute value lines — which do take priority. The parentheses within those lines do not count for our purposes—but if they did, then we would use the order of operations within the "absolute value" bars!
       So as a matter of 'semantics', we could say: 'Yes"; that the absolute value bars function as "brackets."

 Do we have any "exponent(s)"?  No.
 Is there any multiplication/division? No.
 Do we have any addition or subtraction?  Yes; only one:
              →   " - 9 ︱9 + (-3) + (-5)︱.
             →   {not including the addition and subtraction within the absolute value bars.}.
____________
Let's start by simplifying the expression within the absolute value bars:
  ︱9 + (-3) + (-5)︱;

Note: The only operations are additional and subtraction; so we just calculate from left to right; as these operations  occur:
 " 9 + (-3) " = 9 − 3 " ;  Note:  Adding a "negative value" is the same as subtracting a "possible value" ;
 to get:  " 6 " ;  
 Then:  the next step is:
     " 6 + (-5) " = 6 − 5 " ;  Note:
Adding a "negative value" is the same as subtracting a "positive value" ;
      to get:  " 1 ".
Now, the absolute of  " 1" is " 1".

 → or; write as: ︱1︱= 1 .  

Now, we can rewrite the entire expression:

 " - 9 − 1 " ;  to calculate and simplify:  
   to get:  " - 10 " .
__________________
Hope this answer is correct and helpful!
__________________
  However, this answer, "-10", does not correspond to any of the given answer choices.
__________________
Best wishes!
__________________

12 is the geometric mean of 16 and what number?

Answers

Answer:

Step-by-step explanation:

12/x = x/16

x^2 = 192

x = ± √192 = ± 8√3

I don't understand this question
can u please help!
i will give u 11 points <3

Answers

Answer:

year 7 have 135 students

year 9 have 45 students

Step-by-step explanation:

200=total students

360=value of the whole chart

1/2×360

=180

year 8 have 180students

360-180=180

the students remain are 180

1/4×180

=45

year 9 have 45 students

180-45

=135

year7 have 135 students

A water desalination plant can produce 2.6 x 10^6 gallons of water in one day. How many gallons can it produce in 6 days? Write your answer in scientific notation.​

Answers

Amount of water produced in 6 days is 15.6×10⁶.

We will simply perform multiplication to find the amount of water produced in 6 days.

Amount of water produced in 6 days = amount of water produced in one day × 6

Amount of water produced in 6 days = 2.6×10⁶×6

Performing multiplication to find the amount of water produced in 6 days

Amount of water produced in 6 days = 15.6×10⁶

The answer is in scientific notation as 15.6 is coefficient, 10 is base and 6 is exponent. Therefore, amount of water produced by plant in 6 days is 15.6×10.

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sssssssssssolve for f
f/3-1=1

Answers

For equation f/3-1=1 the value of f is 6

In this question, we have been given an equation f/3-1=1

We need to solve given equation for f.

⇒ f / 3 - 1 = 1                        ................(Given equation)

⇒ f/3 = 1 + 1                            .................(add 1 to each side)

⇒ f/3 = 2                            

⇒ f = 2 × 3                           ....................(Multiply each side by 3)

⇒ f = 6

Therefore, For equation f/3-1=1 the value of f is 6

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Ximena and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5 and a drink for $5.75. How much would it cost if they bought 8 bags of popcorn and 6 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?

Answers

Answer: 74.5

6 drinks would cost 34.5 dollars
5.75 x 6 = 34.5
8 bags of popcorn would cost 40 dollars
5 x 8 = 40

Now add both numbers
40 + 34.5 = 74.5

74.5 is our answer

hope this helps :)


                                               
                                             

Answer:

Popcorn:40 Drinks:34.5

Step-by-step explanation:

All you gotta do is 5 times 8 for the popcorn and that would equal 40. For the drinks 5.75 times 6 abd you'll get 34.5 Sorry if I'm wrong

EASY TRIG MATHEMATICS QUESTION! PLEASE HELP ME SOLVE! THANK YOU!

LOOK AT IMAGE FOR DETAILS !

Answers

Answer: YES

Step-by-step explanation:

2. Tell whether the lines through the given points are parallel, perpendicular,
or neither.
a. Line 1: (2, -3), (-4, -6)
Line 2: (-3, 2), (2, -8)
b. Line 1: (-4,-5), (4, 1)
Line 2: (6, 10), (-3,-2)
c. Line 1: (0, -4), (-2,-8)
Line 2: (-1, 5), (1,9)

Answers

Answer:

A is Perpendicular

B is Neither

C is Parallel

please help! math question for college algebra mth 107!

Answers

Answer:

Local Minimum: (-2.5, -2), (0, -2)

Local Maximum: (1, 2)

1. Jackie's balance at the beginning of October was $432.23. During that month she made
deposits totaling $752.34, wrote checks totaling $532.13, paid a maintenance fee of $11, and
earned $3.42 in interest on the account. What was the balance at the end of the month?

Answers

Based on the beginning balance to Jackie's account and the deposits as well as the checks written, the balance at the end of the month was $644.86

How to find the balance at the end of the month?

At the end of the month, the simple formula to determine Jackie's balance is:
= Beginning balance + Cash inflows - Cash outflows

This means that to calculate the balance on Jackie's account at the end of October gives:

= Beginning balance + Deposits + Interest earned - Checks written - maintenance fee

= 432.23 + 752.34 + 3.42 - 532.13 - 11

= $644.86

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7 - (-3) = 7+ blank* equals blank*

Answers

Answer: 7 -(-3)=7+3=10

Step-by-step explanation:

If you multiply a negative sign be a negative number in parenthesis, then it becomes positive. So, -(-3) = 3

Can also be seen as -1*-3 = 3

At a local sandwich shop, 55% of customers preferred white bread over whole wheat bread. Of those who chose whole wheat bread, 58% preferred ham for the protein, and 46% of those who chose white bread also preferred turkey. What percentage of customers chose whole wheat bread with turkey? Round your answer to the nearest whole percentage.
19%
25%
46%
58%

Answers

The percentage of customers who chose whole wheat bread with turkey are 19 %.

Given that:-

Percentage of customers who preferred white bread = 55 %

Percentage of customers who preferred turkey with white bread = 46 % of those who like white bread.

Percentage of customers who preferred ham with whole wheat bread = 55 %

We have to find the percentage of customers who chose whole wheat bread with turkey.

Let the total number of customers at the local sandwich shop be 100x.

Percentage of customers who preferred whole wheat bread = (100-55) % = 45 %

45 % of 100x = 45x.

Percentage of customers who preferred turkey with whole wheat bread = (100-58) % of 45x = 42 % of 45x.

42 % of 45x = 18.9x ≈ 19x.

19x is 19 % of 100x.

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Answer: The answer is A, 19%

Step-by-step explanation: I had the same question.

HELL WILL GIVE BRAINLY



Question
Given: 3x−22=5
Prove: x = 4

Select from the drop-down menus to correctly complete the proof.

Answers

Don’t know answers on drop down but here’s the proof
5x2=10( take away the division from original)
10+2=12( add to both sides)
12/3=4 (divide by 3 both sides)
X=4 end result

Starting from scratch, Tori finished 1/6 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?

Write your answer as a fraction or as a whole or mixed number.

Answers

The fraction of the reading assignment done by Tuesday night is 1/2.

What are fractions?Fractions are the numbers that make up a portion of the whole. An object or a collection of objects can be a whole. If a quantity or item is divided into equal pieces, each piece will represent a portion of the entire.A fraction is represented by the ratio a/b, where a represents the numerator and b is the denominator.

Given:

Let the total reading assignment be x.

Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x

Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x

The fraction of the reading assignment done by Tuesday night is,

Total - Fraction of the reading assignment completed by Tori

= [tex]x -(\frac{x}{6} + \frac{x}{3} )[/tex]

= [tex]x -(\frac{x+ 2x}{6} )[/tex]

= [tex]x - \frac{3x}{6}[/tex]

= [tex]x -\frac{x}{2}[/tex]

= [tex]\frac{2x-x}{2}[/tex]

= [tex]\frac{x}{2}[/tex]

So, 1/2 of the reading assignment(x) was done by Tuesday night.

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You are making a colorful cake for a birthday party and need to use 2 drops of food coloring for every 5 ounces of icing. How many drops of food coloring do you need if you are using 40 ounces of icing?

Answers

Answer: 16 drops

Step-by-step explanation: For every 2 drops is 5 ounces. We can set up an equation such as: 2/5*8/8=16/40. If you divide 40/5 you get 8, and now multiply by 2, you get 16.

Please help me please please pleaE

Answers

0.025! This is the lowest value on the list, if you take the interval notation and subtract it this is the awnser.

Simplify the expression. Write the answer in scientific notation.
(9x10-3) (4x10-3)

Answers

Simplification the expression in scientific notation 3.6 x 10^(-5)

What is Simplification ?

To implify is to make something simple. In mathematics, simply or simplification means reducing the expression/fraction/problem in a simpler version. Calculations and problem-solving techniques simplify the issue.

We have to multiply the expression

(9x10^-3) (4x10^-3)

We can rewrite this multiplication as

(9 x 4) x (10^-3 x 10^-3)

Now, use the exponent rule,

a^n x a^m = a^(n+m)

(9 x 4) x (10^(-3-3))

(9 x 4) x (10^(-6))

36 x 10^(-6)

Finally, write in scientific notation

3.6 x 10^(-5)

Hence, the scientific notation of the expression is 3.6 x 10^(-5)

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What do particulates do in the Earth's atmosphere?Question 3 options:They nucleate water vapor to form cloudsThey trap heatThey shield the Earth's surface from harmful solar radiationThey help plants to grow better Sam wants to predict who will be selected as the seventh-grade student council representative. Which of the following groups should Sam survey to make his prediction? One hundred random students from the seventh grade One hundred random students from the entire school The first 100 students from an alphabetical list of seventh graders The first 100 students from an alphabetical list of the entire school 0.5(x+6)=1+0.25(x-4) Which of the following is NOT a preposition?. a) Beneathb) Ontoc) Fromd) Entrye) None of the above You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold at the swim team.A) Standard Form:B) Slope-Intercept Form:C) If you sold 40 hot dogs how many sodas did you sell?D) Using the Standard Form, identify the x-intercept of the graph and explain how the x-intercept relates to the number of hot dogs and sodas sold.E) Using Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold. Base your answers to questions 1 and 2 onthe diagram below, which represents a solid materialof uniform composition.2.0 cmDensity = 2.7 g/cm-3.0 cm-A) 32 g4.4 gL2.0 cm-W1. The mass of this piece of material is approximatelyB 0.23 g9.3 g What is the range of y = 1 2 3 4 Underline text that reveals what the Pardoner really thinks of those to whom he sells forgiveness By the waters of Babylon A difference between persuasion and explanation? A steel cable carries a 3,000 lbs load which is descending with a speed of 12 ft/s. It slowsdown uniformly and comes to a halt in 9ft. Compute the tension in the cable during this motion. What would be the acceleration if the force in question 1 were doubled? An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of [tex]T=26 hours[/tex]. The mass of the planet is [tex]M=4.9*10^{25} kg[/tex]. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T.A) Enter an expression for the radius of the spaceship's orbit.(I tried [tex]R=(T^{2} GM/4pi^{2} )^{1/3}[/tex] but its says incorrect and that's all I've been able to find)B) Calculate the orbital radius in meters. which are characteristics of a continuous process line? multiple select question. may operate 24 hours a day. highly automated machinery is used. shutdowns can be expensive. product is moved from one workstation to the next workstation in a sequence of events. Did DART apply a balanced or unbalanced force to the satellite during the collision? What evidence supports your answer? For what value(s) of b does the equation x + 3 - 1 2 x = 3 4 (bx - 5) have exactly one solution? Joanne and her friends went on a hiking vacation to the national park. Theycovered 2 miles on the first day. They went on a 4-mile hike and 8-mile hike onday 2 and day 3, and the hiking distance continued to increase in a geometricsequence. How many miles did Joanne and her friends hike on the 4th day? Which tax system would benefit you the most? Explain your response and refer to your specific career. Please help Ill mark you as brainliest if correct!!! Create a procedure(at least 5 steps) using bio-indicators that you could do to determine the health of a body of water or an ecosystem.