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kirza4 [7]
3 years ago
11

What is the value of e^ln7 x1 7e 7x 7

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

7x

Step-by-step explanation:

Assuming your expression is :

e^{\ln 7x}

Then we simplify as follows

e^{\ln 7x}=e^{\ln x+\ln 7} since \ln A+\ln B=\ln AB

\implies e^{\ln 7x}=e^{\ln x}\times e^{\ln 7} since a^{m+n}=a^m\times a^n

\implies e^{\ln 7x}=x\times7 since e^{\ln a}=a

\implies e^{\ln 7x}=7x

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The sum of 75ml plus 7ml
Andrews [41]
The answer is 82ml. You add 75 and 7.
5 0
3 years ago
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in

3 0
2 years ago
Find the volume of the square based pyramid.
frozen [14]
A = 1/3 * s^2 * h where s is a side of the base and h is the height.
4 0
3 years ago
Read 2 more answers
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
Consider the quadratic function f(x) = –2x2 5x – 4. the leading coefficient of the function is?
evablogger [386]

Answer:

\text{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

Step-by-step explanation:

Given the quadratic function

f(x)=-2x^2+5x-4

we have to find the leading coefficient of given quadratic equation.

\text{The general form of quadratic equation is }ax^2+bx+c=0

The coefficient of x^2 i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

\text{Hence, -2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

3 0
3 years ago
Read 2 more answers
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