Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) (8.99)3 using differentials

answer = 5

Step-by-step explanation:

A cold water pipe can fill a swimming pool in 4 hours

And a hot water pipe in 6 hours.

If cold water pipe is turned on and hot water pipe is turned on 3 hours later

6-4 = 2

2+3 = 5

5 answer

Answer:

0.6 of an hour

Step-by-step explanation:

A cold pipe takes 4h hours so we can assume ¼ of our job is done in one hour.

After 3 hours go by with the cold pipe on, we have ¼ of the job left.

Now we have our hot pipe, which takes 6 hours for the entire pool, so we can assume that it has a rate of ⅙ per hour. Now since these two pipes are working together we can add them.

⅙ + ¼ = ⁵/₁₂

Now we divide.

Since at the start 3 hours had gone by with the cold pipe that would have been ¾ of our time so, 1 - ¾ = ¼

¼ ÷ ⁵/₁₂ = ⅗ or 0.6 of an hour

Answer:

f(-2) is 14.

Step-by-step explanation:

We have been given the function:

We have to find f(-2)

That means put x= -2 in the given function we get:

After simplification we will get:

After further simplification we will get the required result:

 Hence, ƒ (-2) is 14

Answer:

Probably about 4 boxes

Answer: 1/2

Step-by-step explanation:

Answer:

yes your answer is correct

Step-by-step explanation:

Answer:

June is correct.

Step-by-step explanation:

June is correct because Common Multiples are what we get after multiplying the number while common factors are what we can multiply to get the number.

Answer:

24

Step-by-step explanation:

Answer:

Do Y divided by X.

Step-by-step explanation:

This is normally what I do so hope I helped.

Answer:

105

Step-by-step explanation:

Answer:

the answer is actually 23 people

Step-by-step explanation:

Bill Nye's birthday paradox can be explained in the following manner:

first we must find the probability that in a room with 23 people, no two people have the same birthday

probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703

so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%

the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%

Answer:

4.78

Step-by-step explanation:

=47.82 x 10/100

=47.82 x 1/10

=4.782

=~ (approx) 4.78

Answer:

3.75

Step-by-step explanation:

Just divide it in the future!! :)

Answer:

$0.24

Step-by-step explanation:

There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce

Answer:

C . None of these

Is the answer.

Step-by-step explanation:

Because parallel lines do not intersect.

And perpendicular lines form angle of 90°.

Answer:

None of the above.

Step-by-step explanation:

Those lines are intersecting lines. Parallel lines face each other and never meet. Perpendicular lines do meet, but they form a 90 degree angle, which this doesn't. Intersecting lines meet, but don't form a 90 degree angle.

Hope this helps!

Answer:

Step-by-step explanation:

50% mi amigo

Answer: x=−1 or x=−4

Step-by-step explanation: Solve by factoring

Answer:

(x+1)(x+4)

Step-by-step explanation:

Answer:

y = 4x + 4

Step-by-step explanation:

given :

y = 8 [tex]\sqrt{x}[/tex] , (1,8)

The equation for the tangent to the curve at the given point

y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]

next calculate the slope of the tangent (m) = y' at x = 1 = 4

hence the equation of the tangent is

 y - y' = m( x - x1 )

 y - 8 = 4 ( x - 1 )

 y = 4x + 4

attached below is the sketch of the curve and the tangent together

Answer:

The value of x:

Step-by-step explanation:

Given the equation

[tex]R=4x+6y[/tex]

substituting the values y=4 and R=11

[tex]R=4x+6y[/tex]

[tex]11=4x+6\left(4\right)[/tex]

[tex]11=4x+24[/tex]

[tex]11-24=4x[/tex]

switching the sides

[tex]4x=11-24[/tex]

Subtract the numbers: 11-24=-13

[tex]4x=-13[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]

[tex]x=-\frac{13}{4}[/tex]

Therefore, the value of x:

Answer:

No

Step-by-step explanation:

it doesn't add up so. No.

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

Answer:

h(-6) = 3

Step-by-step explanation:

h(x) = -x - 3 when h(-6).

~Substitute

h(-6) = -(-6) - 3

~Simplify

h(-6) = 6 - 3

~Subtract

h(-6) = 3

Best of Luck!

Answer:

[tex]1.75[/tex] × [tex]10^{-15}[/tex]  

I hope this helps!

Answer:

I'd say it's 0.03

Step-by-step explanation:

0.03 divided by 10 is 0.003 so it's 1/10

0.003 is 1/10th of 0.03.

A decimal is represented by a point or a dot it separates the decimal part and the fractional part for example 24.75 here the whole part is is 24 and the fractional part is 75.

if we divide 0.03 by 10  = [tex]\frac{0.03}{10}[/tex] = 0.003.                     (dividing a number by 10

                                                                                    moves the decimal point

                                                                                    to the left by 1 because                      

                                                                                    10 has 1 no. of zeroes)

Learn more about decimals here :

https://brainly.com/question/825223

    #SPJ2    

Answer:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

Step-by-step explanation:

[tex]4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536[/tex]

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

To prove this conjecture

[tex]4^1 = 4\\4^2 = 16[/tex] unit digit = 6

hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1  to 8 )

Answer: the answer is b

Step-by-step explanation:

Just trust me

Answer:

0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)

Step-by-step explanation: