Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?

Answers

Answer 1

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

Answer 2

The possible values of n are 7, 8, 9

The given equation is:

an²  =  182

Make n the subject of the formula:

[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]

Let us consider the minimum and maximum values of a:

when a = 2

[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]

When a = 5

[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]

We can conclude that 6.03 < n < 9.54

Since n is an integer, the possible values of n are 7, 8, 9

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Related Questions

estimate 40,182 ÷ 2​

Answers

Answer: 20,091 is the answer but if you round it becomes to 22,090

Answer:

20091

Step-by-step explanation:

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

The speed limit on a highway is 80 miles per hour. How many miles per minute is this?

Answers

Answer:

0.75

Step-by-step explanation:

Transform the following formulas as indicated.
A = bh, solve for h

a=1/2h (a+b), solve for b

Answers

Is there a problem equation?

what is the lowest term of 64/96

Answers

Answer: the answer is 2/3

Step-by-step explanation: hope this helps

Answer:

[tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{64}{96}[/tex] = [tex]\frac{32}{48}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

For a line with the equation y=2/3x−4, the slope is:

A 2


B 2/3 thirds

C 3


D -4

Answers

Answer:

The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept

You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?

Answers

60$

10% of 50$ is 5(50/10), so 20% (10% x 2) would be 10 (5$ x 2)

The original 50$ added to the 10$ would make 60$

How do I make 2x+y+ 3X - 7 y=mx+b

Answers

Step-by-step explanation:

[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]

2x29divide by 70006=x=?

Answers

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

Which 3 relationships are true in the construction below?

Answers

Answer:

The correct options are;

Line CD is the perpendicular bisector of line AB

Line segment AB is perpendicular to line CD

Line segment AE is congruent to line segment BE

Step-by-step explanation:

From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A

Therefore, the construction is the bisection of line segment AB by the construction of the perpendicular bisector CD, from which we have line segment AE is congruent to line segment BE and line segment AB is perpendicular to line CD

what is the slope of the graph of y=12x-19

Answers

Answer:

The slope is 12

Step-by-step explanation:

Remember the slope formula y=mx+b

m= the slope

b= y-intercept

Solve each system to find the answer

Answers

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

4x+7y=83 and 5+6y=90 solved by substion

Answers

Why is there no x value

NEED HELP!!! ASAP last minute homework

Answers

The error is the sign of Inequality.

For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.

Therefore, from x>=-3 as it should be x<=-3

NEED HELP ASAP PLEASE HELP!!!!

Answers

Answer:

d

Step-by-step explanation:

the correct answer is D

Cuanto es 17 entre un medio

Answers

Answer: 8.5

Step-by-step explanation:

espanol- deberia ser 8.5

english- it should be 8.5 good luck!

help me please I suck at math its my weakness

Answers

Answer:

b

Step-by-step explanation:

Write a simplified expression for the algebra tiles below. Remember, variables should be listed first, then constants.

Answers

Answer:

Sorry if im wrong but -4x

Step-by-step explanation:

If right plz mark branliest

The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____

Answers

Answer:

33.04

Step-by-step explanation:

just add lolz :P

Answer:

$33.40

Step-by-step explanation:

  1  1  1

  24.95

+   8.45

__________

    33.40

5+5 is 10 so bring a 1 to the top and put a 0 for the bottom

1+9+4 is 14 so put the 4 down and put the 1 on top.

1+4+8 is 13 so put the 3 down and put the 1 on top.

1+2 is 3 so put the 3 down

then you get 33.40

lemme get some help plz

Answers

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9

Answers

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

What is the equation of the line that passes through (–5, 0) and (4, 3)?
A. y = 1/3x + 5/3
B. y = –1/3x – 5
C. y = 3x + 15
D. y = –3x – 15

Answers

Answer:

bop bada bap boom pow!Djdnxnjxjdjfbcc

Solve x + 7 > 15 or 2x - 1 < 3.

Answers

Answer:16x?

Step-by-step explanation:

what that guy said 90

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Answers

Answer:

10,2

Step-by-step explanation:

UUUUUUUUUUUUUUUUUUUUUU

Answers

-3>-4 because the number line shows it going to the right side which means the number is bigger then -4 so the only bigger answer is -3 and is correct

Answer:

B. -3 > -4

Step-by-step explanation:

have a nice day!!

Which table does NOT show y as a function of x?

Answers

Answer:

C

Step-by-step explanation:

I don’t really know what to say haha, it’s easy

what does 58x9234=????

Answers

Answer:

535572

Step-by-step explanation:

Np just for a friend

The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?

Answers

(c + a = 800)5
5c + 16a = 8400
5c + 5a = 4000
Subtract
11a = 4400
a = 400
There were 400 children and 400 adults

Solve the equation by completing the square.

6x^2-12x-16=2

Answers

X=3,-1 is the correct answer. Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
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