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3 years ago

What is in (e^A)? A, A+1, ln A + ln e, 1 + ln A

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

$\large\boxed{\ln e^A=A}$

Step-by-step explanation:

$Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^A=A\ln e=A(1)=A$ [/tex]

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In the space below, provide the larger of the two positive integers that add to 10 and have the largest possible product.

aleksklad [387]

Answer:

Step-by-step explanation:

The integers 5 and 5 sum to 10 and have the largest possible product.

___

The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.

If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.

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2 years ago

Find the TWO integers whos product is -12 and whose sum is 1<br>m

svetoff [14.1K]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3.

5 0

3 years ago

Read 2 more answers

Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coi

Sveta_85 [38]

Answer: There should be 16, 20 cent coins

Step-by-step explanation:

First we have to do 1.60 x 2 which equals 3.2

Then we divided by 0.20 because the equals the 20 cent coins

We get 16

We can check our work by 0.20 x 16 and that gives us 3.2

I hope this helps!

3 0

2 years ago

Can anyone help me with this question please ??

Anna007 [38]

Answer:

Try 7986

Step-by-step explanation:

(a+b) × height ÷ 2

(a+b are the parallel sides)

102+140=242 ×66= 15972 ÷2= 7986

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3 years ago

Set a timer for 20 seconds. Next, get ready to walk! Start the timer and count the number of steps you take in 20 seconds. Now f

Karo-lina-s [1.5K]

Answer:

1. 2.5 steps per second

2. 1.25 steps

Step-by-step explanation:

6 0

3 years ago