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ANTONII [103]
2 years ago
15

What is the solution set of the quadratic inequality 6x^2+1 greater than or equal to 0?

Mathematics
1 answer:
Ratling [72]2 years ago
7 0

Answer:

C

Step-by-step explanation:

6x^2 + 1 <= 0

6x^2 <= -1

x^2 <= -1/6

Since we cannot take the square root of a negative number, there is no solution.

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In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly
Oksi-84 [34.3K]
We know, 1 g = 1000 mg
so, 1 mg = 1/1000 g
then, 8,450 mg = 1/1000 * 8,450 = 8.450 g

In short, Your Answer would be: 8.450 Grams

Hope this helps!
5 0
2 years ago
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If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of
sergejj [24]

Answer:

<em>24.66 mg</em><em> of medicine will be left.</em>

Step-by-step explanation:

The given exponential equation is,

A(t)=ie^{rt}

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

A(t)=100e^{-0.14\times 10}

=100e^{-1.4}

=24.66\ mg

3 0
2 years ago
Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was
SSSSS [86.1K]
<h2>Answer:</h2>

First of all let's write the slope-intercept form of the equation of a line, which is:

y=mx+b \\ \\ Where: \\ \\ m: \ slope \\ \\ b: \ y-intercept

So we just need to find m \ and \ b to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

m=-12

Negative slope because Amir is descending. So:

y=-12x+b

To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0). Therefore, substituting this point into our equation:

y=-12x+b \\ \\ 0=-12(30)+b \\ \\ 0=-360+b \\ \\ \therefore b=360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

\boxed{y=-12x+360}

Whose graph is shown bellow.

6 0
2 years ago
Read 2 more answers
The point (−3,15) undergoes a translation of 9 units right and 10
Artyom0805 [142]

Answer:

6, 5

Step-by-step explanation:

-3 + 9 = 6

15-10 = 5

6 0
2 years ago
Read 2 more answers
a group of 12 adults and 26 children go to a theme park . The total costs of the tickets was £1804.80. An adults ticket costs 51
nadya68 [22]

Answer:

The cost of a ticket for a child is £45.6

Step-by-step explanation:

- A group of 12 adults and 26 children go to a theme park

- The total costs of the tickets was £1804.8

- An adults ticket costs £51.6

- We need to find the cost of a ticket for a child

- Assume that the price of a ticket for a child is £x

∵ The group has 26 children

∴ The cost of children tickets = 26 × (x)

∵ The group has 12 adults

∵ The cost of the adult ticket = £51.6

∴ The cost of adult tickets = 12 × 51.6

∵ The total cost of tickets = 26 × (x) + 12 × 51.6

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∵ The total costs of the tickets was £1804.8

- Equate the two expressions of the total cost

∴ 26 x + 619.2 = 1804.8

- Subtract 619.2 from both sides

∴ 26 x = 1185.6

- Divide both sides by 26

∴ x = 45.6

* The cost of a ticket for a child is £45.6

6 0
2 years ago
Read 2 more answers
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