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2 years ago

Emily has 140 books. If Frank were to triple the number of books that he now owns, he would still have fewer than Emily has.

Mathematics

1 answer:

tiny-mole [99]2 years ago

6 0

Okay so whats the question? That is just a statement

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A wooden board is 100 cm long is cut into two pieces. One piece is 16 cm longer than the other. What are the lengths of the othe

Agata [3.3K]

100-16=84. 84/2=42. 42+16=58. The lengths are 42cm and 58cm.

8 0

3 years ago

Whats the mean of 5 and 15

Assoli18 [71]

The mean of 5 and 15 is 10. (5+15= 20 20/2=10)

8 0

3 years ago

Read 2 more answers

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

3 years ago

Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded

sp2606 [1]

Answer:

FV= $34,222.33

Step-by-step explanation:

<u>First, we need to calculate the weekly interest rate:</u>

Weekly interest rate= 0.0289/52= 0.00056

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

4 0

2 years ago

How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?

BlackZzzverrR [31]

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

4 0

2 years ago