What is the product?

213 × 314

Answer:

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

Step-by-step explanation:

Given

[tex]f(x)= x^2 + 2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x)= x^2 + 2[/tex]

[tex]f(x+h) = (x+h)^2+2[/tex]

[tex]f(x+h) = x^2+2xh+h^2+2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{x^2 + 2xh + h^2 + 2 - x^2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]= \frac{x^2 - x^2+ 2xh + h^2 + 2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{2xh + h^2}{h}[/tex]

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

Answer:

~0.42

Step-by-step explanation:

Convert the fraction (4 1/6) to an improper fraction

25/6 = improper form

Now convert the improper fraction to a decimal

4.166666666666667

Now we can divide that by 10

4.166666666666667 ÷ 10

0.4166666666666667

And we can round that up to the nearest hundredth

4 or less, let it rest, 5 or more, let it sore

0.42

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Epic

Step-by-step explanation:

you can do it trust me.

Solve the system of linear equations below, using substitution method.

8x + 9y = 36

3x + 4y = 16

your answer is in attachment....

Answer:

2

Step-by-step explanation:

Answer:

Yes, Kevin skied twice as long as Lori without falling.

Step-by-step explanation:

Kevin's time was 223 sec and Lori's was 110 sec.

110 x 110 = 220

Since Lori's time was 110 seconds and twice that is less than Kevin's, which was 223.

Thus we have our answer:

Yes, Kevin skied twice as long as Lori did without falling.

Hope it helps!!

Answer:

620

Step-by-step explanation:

100% must be the the answer so 700% must be 7 times that number.

4340÷7=620

Answer:

8/22 for the first box and 2 for the second box.

Step-by-step explanation:

Because the 2 extremes are 10/5 and 8/22, those would be the two answers.

Answer:

Step-by-step explanation:

Answer:

Answer is 268435456

Step-by-step explanation:

use an = a × ^r n-1 to find the sequence

The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

As per the given sequence,

1, -4, 16, ...

First term a = 1

Common ratio r = -4/1 = -4

The nth term is given as ar^(n - 1)

Therefore, the 15th term will be as,

a₁₅ = 1(-4)¹⁵⁻¹

a₁₅ = -4¹⁴ = 268435456

Hence "The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456".

For more information about the geometrical progression,

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Answer:

( 2.5 , 4.5 )

Step-by-step explanation:

Answer:HOLA I Do not speack spanish

Step-by-step explanation:

13.73cm^2

You can apply the same apoproach from the other question. It's the area of the square minus the area of the circle. So,

Area of the square is 8x8=64

Area of the circle is (pi)*(radius=4)^2=50.27

64-50.27=13.73cm^2

Answer: it’s number D I think let me know if I’m wrong

Step-by-step explanation:

Answer:

the answer is d.Multiply both sides by 19.3; the solution is 744.98.

Step-by-step explanation:

got it right on edge.

Answer:

They complete the hill in 8 hours

Step-by-step explanation:

Equations:

Let's call the variables:

Aran can make build the ant hill in A hours

Beatrice can make build the ant hill in B hours

Charlie can make build the ant hill in C hours

In one hour, Aran makes 1/A of the ant hill.

In one hour, Beatrice makes 1/B of the ant hill.

In one hour, Charlie makes 1/C of the ant hill.

Aran and Beatrice build it in 10 hours, thus:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}=\frac{1}{10}\qquad\qquad[1][/tex]

Similarly:

[tex]\displaystyle \frac{1}{A}+\frac{1}{C}=\frac{1}{12}\qquad\qquad[2][/tex]

[tex]\displaystyle \frac{1}{B}+\frac{1}{C}=\frac{1}{15}\qquad\qquad[3][/tex]

We need to find the time taken for the three ants to build the anthill:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}+\frac{1}{C}=[/tex]

Adding [1], [2], and [3]:

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{1}{10}+\frac{1}{12}+\frac{1}{15}[/tex]

Adding the fractions (LCM=60):

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{6}{60}+\frac{5}{60}+\frac{4}{60}[/tex]

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{6+5+4}{60}=\frac{15}{60}=\frac{1}{4}[/tex]

Dividing by 2:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{1}{8}[/tex]

All ants together make 1/8 of the hill, thus they complete the hill in 8 hours

Answer:

36 KG

Step-by-step explanation:

This is how I did it:

60 x 0.6 = 36

1 = 100%

0.4 = 40%

but you have to decrease so

100% - 40% = 60%

60% = 0.6

Answer: THE ANSWER IS D

Step-by-step explanation:

Answer:

d: circle

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

Answer:

This study uses a control group

This study uses a repeated measures design

Step-by-step explanation:

Hope it help

Please mark me as brainliezt

Sorry if my answer is wrong

Answer:

9

Step-by-step explanation:

according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):

1. 'two numbers have a sum of 7' means s+l=7;

2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.

3. the system of two equations is:

[tex]\left \{ {{s+l=7} \atop {2l-s=20}} \right. \ => \left \{ {{s=-2} \atop {l=9}} \right.[/tex]

4. the larger number is 9.

The larger number would be as follows:

[tex]9[/tex]

Let the two numbers (larger and smaller) be [tex]= x ; y[/tex] respectively.

[tex]x + y = 7[/tex]

So, [tex]y = 7 - x[/tex]

Given that,

The Smaller number subtracted from twice large number gives 20. Thus,

[tex]2x - y = 20[/tex]

Putting the value of [tex]y, 2x - (7 - x) = 20[/tex]

[tex]2x - 7 + x = 20[/tex]

[tex]3x - 7 = 20[/tex]

[tex]3x = 27[/tex]

[tex]x = 27 / 3[/tex]

∵ [tex]x = 9[/tex] [The larger Number]

The smaller number [tex]'y' = 7 - 9 = -2[/tex]

To learn more about 'variables' solving,' refer here:

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Answer:

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

b.)

Revenue = bx = (157)(31.4) = $ 4929.8

Step-by-step explanation:

Let number of bushes = b

The price of the bushes = x

The time to harvest = t

The revenue = y

Now given,

Price = x = 37 - (0.8)t

and

Number of bushes = b = 129 + 4t

Also,

The revenue = (Number of bushes)(Price of the bushes)

                     = bx

                     = (129 + 4t)[37 - (0.8)t]

                     = 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²

                     = 4773 - 103.2t + 148t - 3.2t²

                     = 4773 + 44.8t - 3.2t²

⇒ y = 4773 + 44.8t - 3.2t²

Now,

[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t

Now,

[tex]\frac{dy}{dt}[/tex] = 0

⇒ 44.8 - 6.4t = 0

⇒ - 6.4t = -44.8

⇒ 6.4t = 44.8

⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]

Now,

[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4

As [tex]\frac{d^{2}y }{dt^{2} }[/tex]  < 0 ,

It means at time t = 7 , the revenue is maximum

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4

b.)

Revenue = bx = (157)(31.4) = 4929.8

Answer:

Step-by-step explanation:

Given inequality

a. The two inequalities:

1.    4 - v < 5

2.   4 - v > -5

b. Solution is the combination of the above two:

c. The graph is attached

9514 1404 393

Answer:

  A.  (-∞, ∞)

  B.  (-∞, 0) U (0, ∞)

Step-by-step explanation:

A. Though the attached calculator disagrees, the value of the derivative of f(x) is actually defined at x=0. Its value is 0. There is a discontinuity in the second derivative at x=0, but both the derivative and the function are continuous there.

  differentiable on (-∞, ∞)

__

B. The derivative is discontinuous at x=0, so is undefined there. The function is differentiable everywhere else.

   differentiable on (-∞, 0) U (0, ∞)

_____

The graphs of f(x) and its derivative are red and dotted orange, respectively.

The graphs of g(x) and its derivative are purple and dotted blue, respectively.

There are overlaps, which is why we chose to make some graphs dotted.

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

Answer: (9, ∞)

Step-by-step explanation:

You cant take the natural log of a negative number, and you cant take the natural log of 0. So, to find the intervals where the function is defined, set the inside of the natural to 0.

9x - 81 = 0

x = 9

The intervals where this function is continuous is from 9 --> infinity

Answer:

No, either convert pound to ounces or the other way around.

Step-by-step explanation:

Use 1 lb= 16 oz so 75 lb=16 x 75 =1200 oz ---> 1200 ounces per 1.5 years..

---> 1200 oz/1.5 years (1)

The second equation is 38.4 ounces per 0.75 years  , will be the same as 76.8 ounces per 1.5 years.---->76.8 oz / 1.5 years  (2)

So compare (1) and (2) are not equivalent....

The rates are not equivalent to each other..

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Use 1 lb= 16 oz

Thus 75 lb=16 x 75 =1200 oz

Means 1200 ounces per 1.5 years..

Now 1200 oz/1.5 years ----- (1)

The second equation is 38.4 ounces per 0.75 years which will be the same as 76.8 ounces per 1.5 years.

76.8 oz / 1.5 years ----- (2)

So compare (1) and (2) are not equivalent to each other.

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Answer:

the real limits are;

Lower Real Limits = 249.5

Upper Real Limits = 250.5

Step-by-step explanation:

Given the data in the question;

1 minute being the smallest unit on the scale

so we say; 1/2 which 0.5 minutes which we will use to calculate pur real limits time;

given that; the first subject sleeps 250 minutes

so

Lower Real Limits will be;

Lower Real Limits will = 250 - 0.5 = 249.5

Also our Upper Real Limits will be;

Upper Real Limits = 250 + 0.5 = 250.5

Therefore; the real limits are;

Lower Real Limits = 249.5

Upper Real Limits = 250.5

Answer:

the total number of seats on the plane

Step-by-step explanation:

Total number of seats on a small plane is 80 and 3 small planes have 240 seats in total

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

A small plane has rows of seats = 20

Each row have seats = 4

Total number of seats on a small plane = 20*4

                                                                 = 80 seats

Therefore,

3 small planes have total seats = 3 * 80

                                                    = 240 seats

Hence, Total number of seats on a small plane is 80 and 3 small planes have 240 seats in total

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Answer:

a)Let the number of avocados that I brought be a and number of oranges be r.

b)    a+r=28 ---(1)

    a+2r=44 ---(2)

c) a+r=28

       a=28-r ---(3)

sub (3) into (2), 28-r+2r=44

                                    r=16

sub r=16 into (3), a=28-16

                            a=12

∴ I brought 12 avocados and 16 oranges.