!PLEASE HELP! 35 POINTS!

How does the total amount of work used to move a storage box 10 meters across the floor with a force of 20-N compare to moving the same storage box 8 meters with the same amount of force?

How much work is required to move each box? How do those numbers compare with one another? Which requires more work?

Answer:g(x) = (x+3)/(x2-4)

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

Answer:

k = 5

Step-by-step explanation:

4k^2 = 100

4k^2/4 = 100/4

k^2 = 25

k=5

Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

Answer:

125/6= 20.8 gallons

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

Answer:

a) $300 in interest

b) $1800 account total

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 1500(.04)(5)

I = 300

A = P + I

1800 = 1500 + 300

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

100 gallon tbh rn because the spider ddint take much

Answer:

155

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 (x + 2) - 4x = 4 (2x + 11) - 20

12 + 24 - 4x = 8x + 44 - 20

36 - 4x = 8x + 24

36 - 24 = 8x - 4x

12 = 4x

----   ----

 4     4

3 = x

-x = -3

x = 3

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

​

x



=−1

x=0

​

Step-by-step explanation:

Answer:

36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D

Step-by-step explanation:

Answer:

18 is ur answer

Answer:

its C

Step-by-step explanation:

Answer:

split then d the trinangle with the base and the height and do the rectangle as length times width

Step-by-step explanation:

Answer: 1152

Step-by-step explanation:

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

Answer:

y = x / -4

Step-by-step explanation:

Hope that helps!

Answer:

Transfer of electrons

Form Crystals

High boiling & melting points

Dissolve in water

Good conductor of electricity

you have to find the angles inside the triangle first so

- 180-109 = 71° (angles on a straight line add up to 180°)

- 55° (vertically opposite angles)

71+55= 126

180-126= 54

x=54°

Step-by-step explanation:

To prove that two lines are perpendicular, when all we have are those two lines, we can use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

Our diagonals intersect at point O, so we'd need to show the two linear angles formed at that intersection point are equal, and we can do that with triangle congruency.

A rhombus is a parallelogram, so we will use what we already know about parallelograms - that the diagonals bisect each other.

It is then easy to show that the triangles  ΔAOD and  ΔAOB are congruent using the Side-Side-Side postulate, and from that that ∠AOD ≅ ∠AOB.

And now, since ∠AOD and ∠AOB are a linear pair, we use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

PROOF

(1) ABCD is a rhombus //Given

(2) AB=AD                     //definition of rhombus

(3) AO=AO                    //Common side, reflexive property of equality

(4) BO=OD // A rhombus is a parallelogram, a parallelogram's diagonals bisect each other

(5) △AOD≅△AOB   //Side-Side-Side postulate.    

(6) ∠AOD ≅ ∠AOB     //Corresponding angles in congruent triangles (CPCTC)

(7) AC⊥DB     //Linear Pair Perpendicular Theorem

The converse of this is also true: if a parallelogram's diagonals are perpendicular, it is a rhombus.

Answer:

hello! :) have a good day!

C). 24x + 48

Answer:

c

Step-by-step explanation:

4(6x+12)

4(6x)+4(12)

24x+48