1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
umka21 [38]
3 years ago
7

Here is Elena’s work for finding the surface area of a rectangular prism that is 1 foot by 1 foot by 2 feet. She concluded that

the surface area of the prism is 296 square feet. Do you agree with her conclusion? Explain your reasoning.

Mathematics
1 answer:
Tema [17]3 years ago
6 0

ANSWER PLEASE

A cube of sugar has a mass of 12 grams and a volume of 8 cubic centimeters (cm^3). What is its density? [You may use a calculator.] Choose the BEST answer.

0.67 g/cm^3

0.67

1.5 g/cm^3

1.5

You might be interested in
Help anyone know this??
djverab [1.8K]

Answer:

plug n and r into the equation for the answers.

Step-by-step explanation:

3 0
3 years ago
The blue line is the graph of y=-4x + 5. Use the
WARRIOR [948]

Answer:

(1,1)

Step-by-step explanation:

1=-2(1)+3

1= -2 +3

1=1

1=-4(1)=5

1=-4=5

1=1

7 0
3 years ago
Read 2 more answers
Luke earned a salary of 48,048 last year. how much did he earn per month?
viktelen [127]
$4004 just take 48048 and divide that by 12 to get your answer
5 0
3 years ago
Read 2 more answers
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
FromTheMoon [43]

Answer:

The Taylor series is \ln(x) = \ln 3 + \sum_{n=1}^{\infty} (-1)^{n+1} \frac{(x-3)^n}{3^n n}.

The radius of convergence is R=3.

Step-by-step explanation:

<em>The Taylor expansion.</em>

Recall that as we want the Taylor series centered at a=3 its expression is given in powers of (x-3). With this in mind we need to do some transformations with the goal to obtain the asked Taylor series from the Taylor expansion of \ln(1+x).

Then,

\ln(x) = \ln(x-3+3) = \ln(3(\frac{x-3}{3} + 1 )) = \ln 3 + \ln(1 + \frac{x-3}{3}).

Now, in order to make a more compact notation write \frac{x-3}{3}=y. Thus, the above expression becomes

\ln(x) = \ln 3 + \ln(1+y).

Notice that, if x is very close from 3, then y is very close from 0. Then, we can use the Taylor expansion of the logarithm. Hence,  

\ln(x) = \ln 3 + \ln(1+y) = \ln 3 + \sum_{n=1}^{\infty} (-1)^{n+1} \frac{y^n}{n}.

Now, substitute \frac{x-3}{3}=y in the previous equality. Thus,

\ln(x) = \ln 3 + \sum_{n=1}^{\infty} (-1)^{n+1} \frac{(x-3)^n}{3^n n}.

<em>Radius of convergence.</em>

We find the radius of convergence with the Cauchy-Hadamard formula:

R^{-1} = \lim_{n\rightarrow\infty} \sqrt[n]{|a_n|},

Where a_n stands for the coefficients of the Taylor series and R for the radius of convergence.

In this case the coefficients of the Taylor series are

a_n = \frac{(-1)^{n+1}}{ n3^n}

and in consequence |a_n| = \frac{1}{3^nn}. Then,

\sqrt[n]{|a_n|} = \sqrt[n]{\frac{1}{3^nn}}

Applying the properties of roots

\sqrt[n]{|a_n|} = \frac{1}{3\sqrt[n]{n}}.

Hence,

R^{-1} = \lim_{n\rightarrow\infty} \frac{1}{3\sqrt[n]{n}} =\frac{1}{3}

Recall that

\lim_{n\rightarrow\infty} \sqrt[n]{n}=1.

So, as R^{-1}=\frac{1}{3} we get that R=3.

8 0
3 years ago
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.
NeX [460]

Answer:

Option B. 3 liters

Step-by-step explanation:

First, we shall determine the total volume of soup that Mei have. This is illustrated below:

Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.

Next, we shall convert 2400mL to litres (L). This can be obtain as follow:

1000mL = 1L

Therefore, 2400mL = 2400/1000 = 2.4L

Mei have 2.4L of soup.

Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.

3 0
3 years ago
Other questions:
  • Find the function y = f(t) passing through the point (0,12)
    13·1 answer
  • The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3
    14·1 answer
  • 9 hours and 40 mins before 4:25 am
    14·1 answer
  • Which shows 0.23 repeated as a fraction.<br> A. 2/33 <br> B. 7/33 <br> C. 23/99 <br> D. 7/30
    12·1 answer
  • Directions: Determine the values of x and y of each parallelogram.
    5·1 answer
  • How many 2/3s are in six
    13·1 answer
  • Puzzle One
    5·1 answer
  • Help pls this math problem is harm for me
    13·1 answer
  • Dan is helping to build a stage for a concert.
    10·1 answer
  • So tell me how many assignments are you missing?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!