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Citrus2011 [14]
2 years ago
10

Use the formula to find

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

5525

Step-by-step explanation:

Using the formula with n = 25 , then

\frac{25(26)(50+1)}{6}

= \frac{25(26)(51)}{6}

= \frac{33150}{6}

= 5525

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Find the volume of the pyramid 10ft 8yd 9yd
Slav-nsk [51]
Answer= 120
Explanation= plugged it into a calculator
3 0
2 years ago
Simplify 4(b-6)+19 ?
Digiron [165]

Answer:

4b -5

Step-by-step explanation:

Perform the indicated multiplication first:  4b - 24 + 19.  Next, combine like terms, obtaining 4b -5 (answer)

4 0
3 years ago
It takes a hose 2 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it ta
rusak2 [61]

Volume of the first aquarium =  (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose  17.44 times as long to fill the second one

                              =  (17.44) x (2 minutes)  =  34.9 minutes.
8 0
3 years ago
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are
Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

  • Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

  • We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
  • The formula for the sum of an arithmetic sequence with n terms is given is S_n= \frac{n}{2} [2a_1+(n-1)d]S .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428

Therefore, there are 8428 seats in all.

4 0
3 years ago
What is the graph of the function f(x) = -x^2+x+20/x+4
mr_godi [17]
F(x) = (-x²+x+20) / (x+4)

-x²+x+20     | x+4
+x²+4x          -x+5
 \\\\ 5x+20
     -5x-20
      \\\\\\\\\
 
 f(x) = (x+4)(-x+5) / (x+4)
 
 f(x) = (-x+5)

The graph is a decreasing line, with origin from 5.



   

3 0
2 years ago
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