What is the logarithmic form of the equation e3x ≈ 3247?

Answers

Answer 1
Answer: e^(3x) = 3247

3x = log 3247

x = [log 3247]/3

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Solve the system of equations.5x + y = 9
3x + 2y = 4 

A) (-2, 5)
 
B) (1, 4)
 
C) (2, -1)
D) (4, -4)

Answers

Answer:

(C) (2,-1)

Step-by-step explanation:

The given system of equations is :

5x+y=9                            (1)

and 3x+2y=4                  (2)  

Multiply equation (1) with 2 and then subtract equation (2) from it, we get

10x+2y-3x-2y=18-4

7x=14

x=2

Substitute the value of x=2 in equation (1), we get

5(2)+y=9

10+y=9

y=-1

Therefore, x=2 and y=-1. that is (2,-1).

you can find  replcing x and y by the coordinates of the points
A : 5.-2 + 5 ≠9 not solution
B : 5.1 + 4 = 9 so 3.1 + 2.4 = 11 ≠4 not solution
C: 5.2 +  = 9  so 3.2 + 2.-1 = 4 both are right then C is solution
D: 5.4 - 4 = 16 ≠ 9 not solution 

Help pls and thank u

Answers

Answer:

V =12.167 cm^3

Step-by-step explanation:

V = s^3 is the volume of a cube where s is the side length

The side length of the cube is 2.3 cm

V = ( 2.3  cm) ^3

V =12.167 cm^3

Hey there!

The FORMULA:

V = s^3

Your EQUATION:

v = 2.3^3

SOLVING for the EQUATION

v = 2.3^3

2.3^3 = v

(2.3 cm)^3

≈ 2.3 cm * 2.3 cm * 2.3 cm

≈ 5.29 cm * 2.3 cm

≈ 12.167 cm^3

v ≈ 12.167 cm^3

Therefore, your answer is: 12.167 cm^3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A principal of $4900 is invested at 8.5% interest, compounded annually. how much will the investment be worth after 7 years? Round to the nearest dollar

Answers

The investment will be worth $8,674 after 7 years.

2. A dice is rolled. A card is drawn from a deck of face cards (i.e. only Jack, Queen, King of each suit). A coin is flipped. a) Draw a tree diagram to define the sample space for this game. b) You win the game if you toss tails, draw a heart, and roll an even number. Find the probability that you do not win.

Answers

When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3. 
When you want to toss a tail: 
Sample space is 2, head and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12

A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?

Answers

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

If m(x)=2x and n(x)=x-4 find the general rule for m(n(x))

Answers

m(n(x))=2(x-4)=2x-8