Total volume of tree?

Answer:

5 terms

Step-by-step explanation:

Yes, that's correct.  For the last part, set b₊₁ less than or equal to the error.

1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005

5ⁿ⁺¹ (n+1)! ≥ 200,000

Use trial and error to find the value of n (notice that n starts at 0).

n = 0, 5ⁿ⁺¹ (n+1)! = 5

n = 1, 5ⁿ⁺¹ (n+1)! = 50

n = 2, 5ⁿ⁺¹ (n+1)! = 750

n = 3, 5ⁿ⁺¹ (n+1)! = 15,000

n = 4, 5ⁿ⁺¹ (n+1)! = 375,000

n = 4 is the fifth term.  So it takes 5 terms.

Answers:

[tex]f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}[/tex]

===============================================

Work Shown:

[tex]f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\[/tex]

The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).

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Similarly,

[tex]g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\[/tex]

Answer:

it changes by -4 pounds each month

Step-by-step explanation:

20 pounds in 5 months

20/5 is 4 pounds per month

the elephant loses 4 pounds a month

Answer:Its B I got It right on my test

Step-by-step explanation:

Answer:

100 pennies

Step-by-step explanation:

each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100

The number of pennies he has is 100 pennies.

Given,

Brad has groups of 10 pennies.

Brad counts 40, but he has 6 more stacks to count.

We need to find how many pennies he has.

If each group has 20 items the total number of items for M groups is:

= M x 20

We multiply the total number of groups with the number of items in each group.

We have,

1 group = 10 pennies

Brad counts 40 and 6 more stacks to go.

This means 4 groups have been counted.

= 4 x 10

= 40 pennies

Now 6 more stacks:

= 6 x 10

= 60 pennies

Now,

Total number of pennies:

= 40 + 60

= 100 pennies

Thus the number of pennies he has is 100 pennies.

Learn more about percentage errors in counting pennies here:

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Answer:

[tex]t=-48[/tex]

Step-by-step explanation:

We have the function:

[tex]d(t)=\frac{t}{2}[/tex]

And we want to find t when:

[tex]d(t)=-24[/tex]

So, let's substitute -24 for our first equation and solve for t:

[tex]-24=\frac{t}{2}[/tex]

Multiply both sides by 2:

[tex]t=-48[/tex]

So, the value of t when d(t)=-24 is -48.

Answer:

Step-by-step explanation:

Answer:

No an irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers . -1.36 can be expresed as -136/100

Answer:

Rational!

Step-by-step explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. So, any terminating decimal is a rational number. Any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.

I hope this helps you understand what a rational number is! Have a wonderful day!

Answer:

  A) is a function

  B) f(x) is greater

  C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

__

B) The table says y=6 for x=6.

  f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

__

C) Substituting the given information, we have ...

  40 = 2x +16

  24 = 2x

  12 = x

The value of x is 12 when f(x) is 40.

Answer:

The variable "h" represents: The number of hours

The constant 20 represents: the initial rental price

The variable term 12.5h represents: the hourly rental amount

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Set up:

8x - 66 = 2x -> Subtract 2x from either side

8x - 2x = 66 -> Simplify

6x = 66 -> Divide either side by 6

x = 66/6 = 11

The number is 11

Answer:

649,400

Step-by-step explanation:

Answer:

649,420

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

10$

Step-by-step explanation:

If she charges 50$ per 5 session then you need to do is

50 ÷ 5 = 10

Why?

Because you can to break it down to one session.

Answer:

It's long but you use Substitution!

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=3750;4x+y=4250

Rewrite equations:

4x+y=4250;2x+3y=3750

Step: Solve 4x+y=4250 for y:

4x+y = 4250

4x+y+−4x = 4250+−4x (Add -4x to both sides)

y = −4x+4250

Step: Substitute −4x+4250 for y in 2x+3y = 3750:

2x+3y=3750

2x+3(−4x+4250)=3750

−10x+12750=3750 (Simplify both sides of the equation)

−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)

−10x =−9000

−10x = −9000 (Divide both sides by -10)

−10          −10

x=900

Step: Substitute 900 for x in y = −4x+4250:

y=−4x+4250

y=(−4)(900)+4250

y=650 (Simplify both sides of the equation)

Answer:

x=900 and y=650

Answer:

I dont know what is your question, but I solved this.

Step-by-step explanation:

-18x>-15-21

-18x>-36

x<2

20x>=27+13

20x>=40

x>2

Answer:

Since the points X , Y and Z are collinear:

For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y

Since we are given that XY = YZ,

We will replace with the provided values:

XY = YZ

4(x + 5) = 2(x + 11)

4x + 20 = 2x + 22

2x = 2

x = 1

Since x = 1 and XY = YZ,

We can say that:

XZ = XY + YZ

XZ = XY + XY   or       XZ = 2XY

Now, replacing the variables for the value of XZ

XZ = 2XY

XZ = 2(4x + 20)

XZ = 2(4 + 20)              (Since x = 1)

XZ = 48 units

Answer : 5 Step-by-step explanation:

Answer: 819,000

Step-by-step explanation:

182000×9=1638000÷2=819000

Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.

In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.

∴ Worth of the business 10 years ago = $182,000.

Worth of the business now = 9*$182,000 = $1,638,000

We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.

As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.

∴ Her friend pays the amount = 1/2 * worth of the business now

or, Her friend pays the amount = 1/2 * $1,638,000

or, Her friend pays the amount = $819,000.

∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

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Answer:

square root of 37

Step-by-step explanation:

you would use the formula (X2-X1) squared + (Y2-Y1) squared

Answer:

I would type these in Math-Way, then select Solve the system of equations (or inequalities, I forget which one). (4, -1, 0) would be the answer.

Answer:

78571.43 dollars

Step-by-step explanation:

brainliest appreciated

Total number of parts = 3 + 2 = 5 parts

[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]

[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]

Then , the length of this triangle :

[tex]54 \times 3 \: m[/tex]

[tex] = 162 \: m[/tex]

Then , the width of this triangle will be :

[tex]54 \times 2 \: m[/tex]

[tex]108 \: m[/tex]

∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .

Step-by-step explanation:

Taking log both sides :

[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]

Differentiate both sides w.r.t x :

[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]

Rearranging :

[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]

(You can rearrange it further)

Answer:

y = 7 - 2c

Step-by-step explanation:

Step 1:

2c + y = 7      Equation

Step 2:

y = 7 - 2c    Subtract 2c on both sides

Answer:

y = 7 - 2c

Hope This Helps :)

Answer:

y = 7 - 2c

Step-by-step explanation:

2c + y = 7

=> y = 7 - 2c

Answer:

3.33 Yards

Step-by-step explanation:

divide 10 by 3

Answer:

33.123

Step-by-step explanation:

Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.

Karen is ahead of Mary by 4.367 seconds which means she is at 33.123