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Nimfa-mama [501]
3 years ago
9

Simplify (square root of 2)(cube root of 2)

Mathematics
1 answer:
sineoko [7]3 years ago
8 0
\sqrt{2} \sqrt[3]{2} =

= 2^{\frac{1}{2}} \times 2^{\frac{1}{3}}

= 2^{\frac{1}{2} + \frac{1}{3}}

= 2^{\frac{3}{6} + \frac{2}{6}}

= 2^{\frac{5}{6}}

= \sqrt[6]{2^5}
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What is 60% of 300?
V125BC [204]
Do a proportion
60/100= x/300
60 x 300= 18,000
18,000 divided by 100= 180
Answer is 180

Or you could have done .60 x 300 and got 180.
3 0
3 years ago
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6(1 − 3d) < 2(7d + 6
vagabundo [1.1K]

Answer:

d> -3/16

Step-by-step explanation:

8 0
2 years ago
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What is the only unknown (variable) needed to find the volume of a sphere?
yuradex [85]

Sphere

The radius of the sphere is the only unknown variable need to find the volume of a sphere.

Step-by-step explanation:

Sphere is a geometrical three dimensional round figure with every point on its surface equidistant from its center. It is a three dimensional representation of a circle. A line which connects from the center to the surface is called radius of the sphere.The diameter of the sphere is the longest straight line which passes through the center of the sphere.

The volume of sphere is given by:

Volume of sphere(V) = \frac{4}{3}\pi r^{3} \\

where V is the volume of the sphere

r is the radius of the sphere

\pi = \frac{22}{7}  = 3.14

Hence the only unknown variable to find the volume of a sphere is the radius.

5 0
2 years ago
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0
2 years ago
A grocery store owner budgets $5,000 to buy and maintain a booth for 300 days to give out samples of food. If she bought the boo
serious [3.7K]

Answer:

x ≤ $12 a day

Step-by-step explanation:

5000-1400=3600

3600/300=12

7 0
2 years ago
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