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Dima020 [189]
2 years ago
14

4 times a number cubed decreased by 7

Mathematics
1 answer:
kiruha [24]2 years ago
8 0
4x³ - 7. It's that simple! Watch out though -- wording for that is very important, even the smallest differences can mean alot!
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5. A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles
Mnenie [13.5K]

Answer:

(a) 12π in

(b) 53.5 in

(c) 96 grams

Step-by-step explanation:

In the figure attached, the ornament is shown

(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.

Perimeter of each circle: 2*π*r

The radius is 2 in long, then for 3 circles:

Perimeter = 3*2*π*2 = 12π in

(b) Perimeter of square: 4*side length

The side length of the square is 4 in, then:

Total length of wire needed = 4*4 + 12π = 53.5 in

(c) The wire weighs 1.8 grams per inch, then:

total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams

4 0
2 years ago
choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x − 2y = 6 2x y =
Julli [10]
<span>4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)

(2) x 2 => 4x + 2y = 10 . . . . . (3)

(1) - (3) gives: -4y = -4
y = -4/-4 = 1

From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2

Solution is (2, 1)

Substituting the solution into the options gives that
</span><span>−4x − 2y = 10
−4y = 4 −4x
has the same solution.
</span>
7 0
2 years ago
Read 2 more answers
A number is written with the following factorization 2x2x2x4x5. Is this factorization is prime factorization? Explain why or why
Ulleksa [173]
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.

Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
3 0
2 years ago
Matty’s piano book includes 15 songs in the key of C, 10 in the key of G, and 5 in the key of F. The songs from all three keys a
Marta_Voda [28]

Matty's piano is going to a random key of c next.

6 0
2 years ago
If 25 dimes were moved from Box A to Box B, there would be an equal amount of dimes in both boxes. If 100 dimes were moved from
nexus9112 [7]
Ok.look.the question is like that
7:2 so first of all divide 7 by 2 like that 7/2 so you get 3.5 ok than add 3.5 with 2 so the answer is 5.5
5 0
2 years ago
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