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amid [387]
3 years ago
7

Please help me. Thank you...

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

9514 1404 393

Answer:

  V = (x)(10-2x)² . . . . factored form

  V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

__

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

  V = LWH = (10-2x)(10-2x)(x)

  V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

You might be interested in
I need help 2(4+2x)≥5x+5
timofeeve [1]

Answer:

x ≤ 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(4 + 2x) ≥ 5x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 2:                                                                 8 + 4x ≥ 5x + 5
  2. [Subtraction Property of Equality] Subtract 5x on both sides:                       8 - x ≥ 5
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        -x ≥ -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x ≤ 3
5 0
2 years ago
Need help with homework independent practice lesson 5 negative exponents
adell [148]
What's the problem you need help with
3 0
3 years ago
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
Sam spent StartFraction 5 Over 6 EndFraction of an hour at the dentist’s office. He spent StartFraction 1 Over 10 EndFraction of
ioda

Answer:

Step-by-step explanation:

Dentist's Office = 5/6 of an hour. An hours is 60 minutes

therefore he spent 5/6 x 60 = 50 minutes at the Dentist

1/10 of those 50 minutes were spent in the waiting room that is 1/10 x 50 = 5 minutes

Therefore Sam Spent 45 minutes at the Dentist office

I think the second part of your question is missing

6 0
2 years ago
Read 2 more answers
Explain how to find the constant of proportionality for the ratio of robins to cardinals.
mash [69]

Answer:

Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

Step-by-step explanation: I took the test on Edgenuity.

4 0
3 years ago
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