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AlexFokin [52]
4 years ago
13

How would you solve this question?

Mathematics
1 answer:
ki77a [65]4 years ago
5 0

Answer:

The value of a is e³ and b is e.

The steps are :

First, you have to integrate the expression shown in the first picture.

Next, you have to solve it as simultaneous equation shown in the second picture.

You have to apply :

ln(b)  -  ln(a)  =  ln( \frac{b}{a} )

ln(y)  = x \: ⇒  \: {e}^{x}  = y

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Two flat, circular plates are placed on a circular tabletop. The diameter of each plate is equal to the radius of the table top.
erastovalidia [21]
A=pR^2-2pr^2, since R=15 and r=7.5

A=225p-112.5p

A=112.5p

A≈353.25 ft^2
6 0
3 years ago
Pythagorean theorem, I'm trying to fix my grade for school so I get my phone back
Harrizon [31]

If you would illustrate the problem, you will be able to formulate a triangle with the measurement of the hypotenuse (distance between the two shops) to be missing. Using the Pythagorean Theorem, the formula to compute for the hypotenuse is:

c = √a^2 + b^2

c = √(20)^2 + (13.5)^2

c = √400 + 182.25

c = √582.25

c = 24.13 km

Therefore, the distance between the two shops is approximately 24.13 km.

 

4 0
3 years ago
Read 2 more answers
Rewrite using a single positive exponent
Korolek [52]

Answer:

9³

Step-by-step explanation:

We need to find the value of \dfrac{9^5}{9^2}.

We know that,

\dfrac{x^a}{x^b}=x^{a-b}

Here, a = 5 and b = 2.

So,

\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3

So, the answer to the given expression is 9³.

7 0
3 years ago
Find the point, M, that divides segment AB into a ratio of 3.1 if A is at (-4,-2) and B is at (4. -10).
Natasha_Volkova [10]

Answer:

The coordinates of M are (2,-8)

Step-by-step explanation:

The coordinates of the point that divides the line segment joining

A(x_1,y_1) to B(x_2,y_2) in the ratio m:n is given by:

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.

Then

(\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})

(\frac{8}{4},\frac{-32}{4})

The coordinates of M are (2,-8)

7 0
3 years ago
|3 + x| = 5<br> Solve for x
bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

or

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

5 0
2 years ago
Read 2 more answers
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