Item 1
Round 71.58043 to the nearest hundredth

If you know your derivative rules, then

d/dx [1/x] = -1/x ²

so that when x = 6, the derivative has a value of -1/36.

If you have to use the definition of the derivative, then

d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h

… = lim {h → 0} (x - (x + h)) / (hx (x + h))

… = lim {h → 0} (-h) / (hx (x + h))

… = lim {h → 0} (-1) / (x (x + h))

… = -1/x ²

and at x = 6, you again get -1/36.

Alternatively, use the definition of the derivative at a point:

d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)

… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)

… = lim {x → 6} -(x - 6) / (6x (x - 6))

… = lim {x → 6} (-1) / (6x)

… = -1/36

Answer:

43

Step-by-step explanation:

Answer:

12-4

Step-by-step explanation:

Answer:

12

10(3w)=6*5

30w=30

w=1

(not sure if youre meant to just have the equation or find w)

13

48°F

14

€1.25

Step-by-step explanation:

12

The floor area is found by multiplying its length by its width: 6*5=30

The amount of area covered by one tile is found by multiplying its length by its width: 3*w=3w.

Ten tiles are used to cover the floor, so the floor area should be equal to ten times the tile area:

10(3w)=6*5

30w=30

w=1

(not sure if youre meant to just have the equation or find w)

13

35°F is 13°F lower than the high temp. So, add 13°F to find the high temp.

35+13=48°F

14

Sixteen bagels cost €20. To find the price of one, we divide the price by the amount bought: 20/16=1.25

Answer: help

Step-by-step explanation: I need help too

Answer:

(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 = 42

Step-by-step explanation:

This is obviously a bait question.

Answer:

5

Step-by-step explanation:

If the whole square is 20in and there are four sides, then divide 20/4 which is 5

(I think)

Answer:

Step-by-step explanation:

    Remember the SAS rule is that you know the measure of 2 sides and their angle in between. (Note that SSA side side angle DOESN'T work.)  For the first question we know that sides JH and LM are congruent, and sides GJ and MK are as well. Secondly, we know that angles M and J are congruent. The question is; does this problem follow the SAS (side angle side) rule? Yes, their are two proven congruent sides on the two triangles, and the angle between them is proven congruent as well.

Second one is congruent because it follows the SSS rule (side side side) ie: all sides are congruent, so therefore the triangles are congruent.

Think about the third one. Is it congruent or not. (To be congruent it has to follow SSS, or SAS) Comment below so I can correct you.

Answer:

circumference=15.7 feet

Step-by-step explanation:

5x3.14=circumference=15.7

Answer:

15.7 feet

Step-by-step explanation:

The formula for circumference is [tex]2\pi r[/tex].

The radius is half of the diameter: 2.5 in this case.

2.5 x 2 is 5.

3.14 x 5 is 15.7.

Hope it helps!

Answer:

x = 10√3

y = 10

Step-by-step explanation:

Step 1:

x = r·cos(30°)

y = r·sin(30°)

Step 2:

x = 20·√3/2 = 10√3

y = 20·1/2 = 10

However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.

Answer: x=10

Step-by-step explanation:

Picture below.

15% eating, 25% homework, 2% tv, 0% socializing, 35% sleeping, 50% school for me

Answer:find the solution to the system of equations below.start by adding the equation

{-2x+2y=-8

{2x+y=5

Step-by-step explanation:The given system of equation are:

1----  y= x -4

2----- y=4 x+2

Equation (1) - Equation (2)

→0= x -4 - (4 x+2)

→0=  -3 x -6-----[Adding and subtracting like terms]

Adding 3 x on both sides

→3 x= -6

Dividing by 3 on both sides

→x = -2

→Substituting the value of x in equation 1, we get

y= -2 -4

y =-6

→Solution set =(x,y)=(-2, -6)

Don't used the graph to find the solution.

Take 36 multiplied by 1,4

[tex]36 \times 1.4 = 50.4[/tex]

Answer:

if it is similar it would be 19

Step-by-step explanation:

Answer:

20 cm

Step-by-step explanation:

just a guess since there isn't a pic

Answer:

False

Step-by-step explanation:

The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.

Answer:

2.2

Step-by-step explanation:

Step-by-step explanation:

The answer of this question is -5 + 3x > 1

If my answer is wrong so I am really sorry for it

Answer:

3w+7

Step-by-step explanation:

Let's simplify step-by-step.

8v+w+7−8v+2w

=8v+w+7+−8v+2w

Combine Like Terms:

=8v+w+7+−8v+2w

=(8v+−8v)+(w+2w)+(7)

=3w+7

Answer:

Step-by-step explanation:

b

Answer:

Lh i think ok so ok ok ok ok ok ok

Answer:

About $23.77 per hour.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if this helped ;)

The Diego earn [tex]\$ 7[/tex] per hour.

Given that,

After working 3 hours, he has $71 in the account.

After working 12 hours, he has $134 in the account.

It means that, After working 9 hours,

         Diego earn [tex]=134-71=63[/tex]

In 9 hours, earning [tex]=63\$[/tex]

In one hour, earning [tex]=63/9=\$7[/tex]

Learn more about the per hour earning here:

https://brainly.com/question/536840

Answer:

257.

Step-by-step explanation:

seperate the shapes. we know that the side on the left upper corner is 7 because 29 - 22. The we find the other missing side, which is 26 - 21, 5. then we multiplt the first "box" to find the area, 21 x 7 = 147. Then the second box 5 x 21 = 110. Add the two, and you find your answer. 257

ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!

Answer:

4/8 or 1/2

Step-by-step explanation:

7/8-3/8= 4/8 or 1/2

Answer:

Stephanie has [tex]\frac{1}{2}[/tex] a pound of birdseed left.

Step-by-step explanation:

  [tex]\frac{7}{8}[/tex] - [tex]\frac{3}{8}[/tex]

= [tex]\frac{4}{8}[/tex]

= [tex]\frac{1}{2}[/tex]