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dsp73
3 years ago
15

Solve and round to the nearest hundredth please!!!

Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

x = 0.96

Step-by-step explanation:

7 \times 16^{8x - 8} = 3

(2^4)^8(x - 1) = \dfrac{3}{7}

2^{32(x - 1)} = \dfrac{3}{7}

\log 2^{32(x - 1)} = \log \dfrac{3}{7}

32(x - 1)\log 2 = \log 3 - \log 7

(x - 1) = \dfrac{\log 3 - \log 7}{32}

(x - 1) = \dfrac{\log 3 - \log 7}{32\log 2}

x = \dfrac{\log 3 - \log 7}{32\log 2} + 1

x = 0.961800237...

Answer: x = 0.96

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A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.
Rashid [163]
A) Using the special right triangle ratio for 30-60-90 triangles (which is 1-√3-2, opposite sides of the angles respectively, we can find that the side opposite the sixty degree angle is 41√3.

b) The hypotenuse is the same. Using the ratios, we see that the hypotenuse is 82.

c)sin(30)= opp/hyp = 41/82 = 1/2
cos(30)= adj/hyp = 41√3/82 = √3/2
tan(30)= opp/adj = 41/41√3 = 1/√3 = √3/3

8 0
3 years ago
What is the difference of the fractions? Use the number line to help find the answer.<br> 7
san4es73 [151]

Answer:

C.) -7/5

Step-by-step explanation:

To subtract fractions, we need to have common denominators. So first, we will change -1 1/5 to -6/5.

Now we will change the denominator of both -6/5 and 1/2 to 10.

We now have:

5/10 and -12/10

5-12=-7

So the answer would be -7/5

If we want to use the number line, we would first find 5/10 (1/2) on the graph and count down (to simulate subtraction) 12 units since we are subtracting by 12. :))

8 0
2 years ago
A jacket is on sale for 15% off the original price of $ 68.00. What is the sale price? Show your work!
Reptile [31]

57.8

Step-by-step explanation:

To get the answer we have to find 15% of 68 and then subtract it from 68$

15% its 0.15

0.15*68=10.2

68-10.2=57.8 - its the answer

8 0
2 years ago
Can use the help please
tigry1 [53]
Common ratio = 6/3 = 2

10th term

= 3(2)^(10-1)

= 3 x 2^9

= 3 x 512

= 1536
5 0
3 years ago
Which one of the following does not represent a proportional relationship?
Tamiku [17]

Answer:

may be these are your following

u forgot to right options that's why i am doing according to me

if these are wrong please tell me I will do according to your options

Step-by-step explanation:

in this 2 table does not repeat a proportional relationship

4 0
2 years ago
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