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Tom [10]
3 years ago
15

What's the volume of the figure?

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

urrrrrrrrrrr....... bro why you bully

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Find n for the sequence for which a1 = 30, d = -4 and sn= -210.
REY [17]

n\in\mathbb{N^+}

The formula of the sum of an arithmetic sequence:

S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n

We have:

a_1=30;\ d=-4;\ S_n=-210

substitute:

\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}

Answer: b. 21

3 0
4 years ago
Read 2 more answers
3. Marcus's family has completed 30% of a trip. They have traveled 21 miles.
vlada-n [284]

Answer: 70 miles

Step-by-step explanation: scince the trip is 30% finished and that 30% was 21 miles you just have to multiply 21 by 3 which is 63and than you have to figure out what 1 third of 21 is which is 7 and than you just have to add 7 to 63. Hope this helps

3 0
3 years ago
Can you help me please it is my spring break packet
mart [117]

Answer:

You just have to divide!

Step-by-step explanation:

400/570 = 0.70...

8 0
4 years ago
-6h + 2(4h + 3) = 1
Tju [1.3M]

Answer:

h = -2.5

Step-by-step explanation:

  1. Apply the distributed property: -6h + 8h + 6 = 1
  2. Combine like terms: 2h + 6 = 1
  3. Subtract 6 from each side, so it now looks like this: 2h = -5
  4. Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = -2.5

I hope this helps!

3 0
3 years ago
Read 2 more answers
What is the area of the shape given in dimensions
Marianna [84]
Plot the points and do length times width to find the area. 
7 0
4 years ago
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