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Kamila [148]
4 years ago
12

Which logarithmic equation is equivalent to the exponential equation below? E^a=60

Mathematics
1 answer:
Gala2k [10]4 years ago
8 0

Answer:

B

Step-by-step explanation:

e is the base of the natural log system.

take the natural log of both sides.

ln(e^a) = ln(60)                      The power can come down

a ln(e) = ln(60)                       The natural log of e = 1

a * 1 = ln (60)

a = ln(60)  

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12x + 8 + 84 = 15х +9
RideAnS [48]

Answer:

x = 83/3.

Step-by-step explanation:

12x + 8 + 84 = 15х +9

Solving for x:

8 + 84 - 9 = 15x - 12x

83 = 3x

x = 83/3.

3 0
3 years ago
Read 2 more answers
14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
Given the information in the picture, which trigonometric identity can be used to solve for the height of the blue ladder that i
Stells [14]

The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

We have to determine

Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.

<h3>Trigonometric identity</h3>

Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.

Trig ratios help us calculate side lengths and interior angles of right triangles:

The trigonometric identity that can be used to solve for the height of the blue ladder is;

\rm Sin47=\dfrac{50}{H}\\\\H=\dfrac{50}{sin47}\\\\H=68 feet

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

To know more about trigonometric identity click the link given below.

brainly.com/question/1256744

6 0
3 years ago
1. Determine the quadrant in which a 171° angle lies.
Svetradugi [14.3K]

A angle that is 171° will be in the 2nd quadrant

6 0
4 years ago
I'm confused... The cost in dollars of an n-mile trip with Supreme Taxi Service is given by 1.5+1.75n. 1.5 plus 1.75 n The cost
salantis [7]

the town taxi service would be cheapest because you choose a number 1-10 and plug it into N for both equations and see which taxi service is cheaper for miles 1-10 and than it will change for longer distance taxi rides and be the Supreme town taxi service!

The town taxi service is the answer

Hope this helped!!

6 0
3 years ago
Read 2 more answers
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