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Svetradugi [14.3K]
3 years ago
8

The basketball game at the high school started at 7:30 P.M. and ended at

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer:

3 hours 8 minutes

Step-by-step explanation:

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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
What is the answer to 1/2-1/5
Scorpion4ik [409]
First you need to find the common denominator. Think of a number that both 2 and 5 can go in to evenly. 10 is the best number, so, make both denominators 10. What you do to the bottom, you must do to the top.
Now your equation is 5/10-2/10
Your answer is 3/10
3 0
3 years ago
How does the volume of a cylinder change when its diameter is tripled
cupoosta [38]
V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r

V(new cylinder)= πR²h = π(3r)²h=9πr²h

V(new cylinder)/V(cylinder)=9πr²h/πr²h=9

Volume new cylinder 9 times more the volume of old cylinder.




5 0
3 years ago
Read 2 more answers
One fourth the sum of x and ten is identical to x minus 4."
Lynna [10]

Answer and Step-by-step explanation:

We are given the word format of an equation.

Let's right it out in numerical form.

\frac{1}{4} (x + 10) = x - 4

The first part says One fourth the sum of x and 10

The sum of x and 10 would be shown as x + 10, and one fourth of that means that \frac{1}{4} is multiplying (x + 10).

In this case, identical would mean equal to.

So, \frac{1}{4}(x + 10) would be = to something.

It says that it is identical to x minus 4 (x - 4).

\frac{1}{4} (x + 10) = x - 4<u> is the equation.</u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
What is 2648 to two significant figures?​
user100 [1]

Answer: 2600

Step-by-step explanation:

We want two digits that are not 0. These are the significant figures.

= 2600

7 0
3 years ago
Read 2 more answers
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