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docker41 [41]
3 years ago
8

Write an arithmetic sequence that has a common difference of -3 and whose

Mathematics
1 answer:
allsm [11]3 years ago
8 0

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

a_n = a_1 + (n-1)d\\

in this case

a_n = a_1 + (n-1)(-3)\\and\\17 = a_1 +(4-1)(-3)\\17= a_1 + (3)(-3)\\17= a_1 - 9\\a_1 = 26\\so\\a_n = 26 - 3(n-1)\\a_n = 26 -3n + 3\\a_n = 29 - 3n

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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
N76 [4]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

7 0
2 years ago
Read 2 more answers
Atreya runs 5 1/4 miles in 3/4 of an hour. If Atreyu continues at this rate, how far will he run in an hour?
kogti [31]

Answer: 63/16 = 3 1/16 or 7 if your divide it

Step-by-step explanation:

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2 years ago
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Write the prime factorization of 3.
DaniilM [7]

Answer:

there is none prime factorization of 3. Since it cant be multiplied by anything to get 3 like 2 and 5 and 7

Step-by-step explanation:

5 0
3 years ago
10a3 what is the vocabulary for 10
dangina [55]

Answer:

Coefficient

Step-by-step explanation:

If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.

3 0
3 years ago
What is the ratio of the intensities of an earthquake PP wave passing through the Earth and detected at two points 19 kmkm and 4
Tamiku [17]

Answer:

The ratio of the intensities is roughly 6:1.  

Step-by-step explanation:

The intensity I() of an earthquake wave is given by:

I = \frac{P}{4\pi d^{2}}

<em>where P: is the power ans d: is the distance. </em>

Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

\frac{I_{1}}{I_{2}} = \frac{P/4\pi d_{1}^{2}}{P/4\pi d_{2}^{2}}

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km     </em>

\frac{I_{1}}{I_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}

\frac{I_{1}}{I_{2}} = \frac{46 km^{2}}{19 km^{2}}

\frac{I_{1}}{I_{2}} = 5.9:1

Therefore, the ratio of the intensities is roughly 6:1.  

 

I hope it helps you!    

3 0
3 years ago
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