There will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A group of 32 players forms 4 volleyball teams.
Total number of players = 96×4
= 384
Number of teams = 384/32
= 12
Thus, there will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.
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All you have to do is times 195 by 6:
195
x 6
-------------
1 1 7 0
Now make that back into £11.70
The y-intercept of the function y=−2x+8y is the y-intercept of the function represented in the graph.
A graph with a line running through point (1,6) and point (5, -2)
Answer: (PIC)
Hope this helps- if so
2x^2+5x-9=0
The quadratic equation 2x^2+5x-9 = 0 has two solutions or zeros, which may be real or complex. They can be found using the quadratic formula: x = [-5 + sqrt(97)]/4 and x = [-5 - sqrt(97)]/4.
The equation given is 2x^2+5x-9=0, which is a quadratic equation. The solutions or zeros of a quadratic equation can be found using the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)]/2a. Here, a=2, b=5, and c=-9.
Let's substitute these values into the formula:
x = [-(5) ± sqrt((5)^2 - 4*2*(-9))]/2*2
x = [-5 ± sqrt(25 + 72)]/4
x = [-5 ± sqrt(97)]/4
Therefore, this equation has "two solutions" or zeros, which are x = [-5 + sqrt(97)]/4 and x = [-5 - sqrt(97)]/4.
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The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x)=1.03x. Find the cost of a $1500 refrigerator in three years if the rate of inflation remains constant.
Select one:
a. $1645.00
b. $1545.00
c. $1639.09
d. $1539.99
The exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
Since the position of the carousel is (x, y) = (20cosθ, 20sinθ) and we need to find the position when θ = 5π/12 = 5π/12 × 180 = 75°
So, substituting the value of θ into the positions, we have
(20cos75°, 20sin75°)
20cos75° = 20cos(45 + 30)
Using the compound angle formula
cos(A + B) = cosAcosB - sinAsinB
With A = 45 and B = 30
cos(45 + 30) = cos45cos30 - sin45sin30
= 1/√2 × √3/2 - 1/√2 × 1/2
= 1/2√2(√3 - 1)
= 1/2√2(√3 - 1) × √2/√2
= √2(√3 - 1)/4
= (√6 - √2)/4
= (-√2 + √6)/4
So, 20cos75° = 20 × (-√2 + √6)/4
= 5 (-√2 + √6)
20sin75° = sin(45 + 30)
Using the compound angle formula
sin(A + B) = sinAcosB + cosAsinB
With A = 45 and B = 30
sin(45 + 30) = sin45cos30 + cos45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= 1/2√2(√3 + 1)
= 1/2√2(√3 + 1) × √2/√2
= √2(√3 + 1)/4
= (√6 + √2)/4
= (√2 + √6)/4
So, 20sin75° = 20 × (√2 + √6)/4
= 5(√2 + √6)
Thus, (20cos75°, 20sin75°) = 5 (-√2 + √6), 5(√2 + √6).
So, the exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
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