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4 years ago

I know I need to use the natural log

Mathematics

1 answer:

siniylev [52]4 years ago

7 0

So, when you use Ln (e^2x) = Ln1.4, Ln would cancel out that e. When you do that, you would get 2x = ln1.4

Plug that in the calculator, and you get x = 0.168

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-.At a fair hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of

NikAS [45]

Answer:

Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)

The graph in the attached figure

Part b) See the procedure

Step-by-step explanation:

The questions are

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

Part a) Find the intercepts and graph the function

Let

x-----> the number of hamburgers

y ----> the number of hot dogs

we have

$3x+1.5y=30$

Remember that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$3(0)+1.5y=30$

$1.5y=30$

$y=20\ hot\ dogs$

The y-intercept is the point (0,20)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$3x+1.5(0)=30$

$3x=30$

$x=10\ hamburgers$

The x-intercept is the point (10,0)

Plot the intercepts and graph the line

see the attached figure

Part b) What does each intercept represent?

The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers

5 0

3 years ago

Ivan and Tanya share £150 in the ration of 4:1

Zarrin [17]

Answer:

Money Ivan gets extra = 120 - 30 (or 3x) = 90

Step-by-step explanation:

Ivan = 4x

Tanya = 1x

Total = 150

4x + x = 150

5x = 150 ; x = 150 / 5 = 30

Ivan = 4x = 120

Tanya = 1x = 30

Money Ivan gets extra = 120 - 30 (or 3x) = 90

8 0

3 years ago

1. The alphabet which can assume different values is called: *

Sedaia [141]

Answer:

variable

Step-by-step explanation:

8 0

3 years ago

Solve for x in the equation x^2+10x+12=36.

Alexandra [31]

Solve for x:
x^2 + 10 x + 12 = 36

36 = 36:
x^2 + 10 x + 12 = 36

Subtract 12 from both sides:
x^2 + 10 x = 24

Add 25 to both sides:
x^2 + 10 x + 25 = 49

Write the left hand side as a square:
(x + 5)^2 = 49

Take the square root of both sides:
x + 5 = 7 or x + 5 = -7

Subtract 5 from both sides:
x = 2 or x + 5 = -7

Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.

3 0

3 years ago

Can someone please help!

Studentka2010 [4]

Plot point F where angle alpha is located.

Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.

alpha = x+80

<h3>Answer: Choice D</h3>

4 0

3 years ago