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Digiron [165]
3 years ago
15

10^x • 100^2x = 1000^5. Step by Step

Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Step one: set the base of each term to be the same (10)
(10ˣ)(10²)²ˣ = (10³)⁵
(10ˣ) (10⁴ˣ)= (10¹⁵)
10⁵ˣ = 10¹⁵
Because the indices are the same we can equate the two.
5x = 15
x = 3

Check 10⁵ˣ³ = 10¹⁵    10¹⁵=10¹⁵
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What are the solutions of x2=-5+8
AveGali [126]

Answer:

x² = -5 + 8

x² = 3

x  = √3 ≈ 1.73

5 0
3 years ago
The circumference of a circle is 12.3 in what is the radius of the circle
Rasek [7]

Answer: r≈1.96

Step-by-step explanation:

C=2πr

Solving for r

r=C

2π=12.3

2·π≈1.95761

7 0
3 years ago
Distance between (-6,8) and (-3,9)
Mademuasel [1]

Answer:

\sqrt{10}

Step-by-step explanation:

Using the distance formula: d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

substitute

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\sqrt{10}

7 0
3 years ago
Can you help me with this page please??
Ostrovityanka [42]
Do you know the length and height of the field? If you do, all all the sides together (Height + Height + Length + Length) and you get the answer to Part A.

Part B: 
Just do 120 times 5. Then, divide your answer by 6. The answer will be the time they need to run each lap in.

Part C:
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Hope that helped. :)
5 0
3 years ago
What is 7/8 minus the fraction 2/3?
tatiyna

Answer: 5/24

Explanation: To subtract unlike fractions such as 7/8 - 2/3, first find a common denominator. The common denominator of 8 and 3 will be the least common multiple of 8 and 3 which is 24.

To get a 24 in the denominator of 7/8, we multiply both the numerator and the denominator by 3 to get 21/24.

To get a 24 in the denominator of 2/3, we multiply both the numerator and the deliminator by  8 and to get 16/24.

Now we are subtracting like fractions since both fractions have the same denominator or bottom number of 16.

To subtract like fractions, we simply subtract the numerators and keep the same denominator. So here, we have 21/24 - 16/24 which is 5/24.

Since 5/24 is in lowest terms, it's our final answer.

This means that 7/8 - 2/3 is 5/24.

3 0
2 years ago
Read 2 more answers
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