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likoan [24]
3 years ago
15

Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
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2 years ago
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rjkz [21]

Answer:

84 cm²

Step-by-step explanation:

Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles

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Height = 3 cm

Area of the 2 triangles = 2(½*base*height)

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Area of rectangle with the following dimensions:

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Width = 4 cm

Area = length * width = 24 cm²

Area of rectangle with the following dimensions:

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Area of rectangle with the following dimensions:

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5 0
2 years ago
Solution q-2r=4<br> q+r=37
GenaCL600 [577]
Q-2r=4, therefore: q=4+2r.

Plug the value of q into q+r=37, so you get:

4+2r+r=37

3r=37-4=33

3r=33

Therefore: r=11.

q-2r=4, but r=11, so:

q-2(11)=4

q-22=4

Therefore q=26.

Check if the answer is correct using second equation:

q=4+2r=4+2(11)=4+22=26.

So: q=26 and r=11.


4 0
3 years ago
Read 2 more answers
What is the image of A(3, 5) under the translation (x - 4, y - 3) ?
azamat
C because (x-4,y-3) = c
4 0
3 years ago
Read 2 more answers
1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
3 years ago
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