Simplify. Give your answer in radical form.<br> 2√(-125)

Need help on this please

bija089 [108]

For landing on heads the fraction is 1/2 which is 50%

5 0

3 years ago

How many colchicine tablets, each containing 600 mcg, may be prepared from 30 g of colchicine?

Leto [7]

Answer:

50,000 tablets may be prepared from 30g of colchicine

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First Step:

The first step is knowing how many g are in a tablet.

Each gram has 1,000,000 mcg. So:

1g - 1,000,000 mcg

xg - 600 mcg

1,000,000x = 600

$x = \frac{600}{1,000,000} = 0.0006$

Each tablet has 0.0006g

Final step:

How many tablets may be prepared from 30g of colchicine?

1 tablet - 0.0006g

x tablets - 30g

0.0006x = 30

$x = \frac{30}{0.0006}$

x = 50,000

50,000 tablets may be prepared from 30g of colchicine

4 0

3 years ago

Please solve these algebraic questions? THANKS

miskamm [114]

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

<h2>9. Simplify the following by collecting like terms: </h2>

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).

Add the coefficients of both terms.

3a + 7a = 10a

Add the coefficients of both terms.

4n + 3n = 7n

Subtract the coefficient of both terms.

12y - 4y = 8y

Add the coefficients of all terms.

5x + 2x + 4x = 11x

The last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.

4y - 3y + 8 = y + 8

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.

6xy + xy + 4y = 7xy + 4y

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3

Combine the like terms, which are the second and the last term.

2 - 5m - m = 2 - 6m

Combine the like terms, which are the second and the last term.

4 - 2x + x = 4 - x

8 0

3 years ago

Which statement correctly compares the two functions shown?

krok68 [10]

Answer:

C.

Step-by-step explanation:

For Function 2

x=1 y=8

x=2 y=11

8=m+b

11=2m+b

11-8=2m-m

m=3

8=3+b

b=5

y=3x+5

Function 1

y=4x+5

Function 2

y=3x+5

....................

Function 1 has the same y-intercept and greater slope than Function 2.

4 0

3 years ago

Simplify the sum: (5u^3+7u^2+7)+(7u^3-6u+5)

viktelen [127]

I hope you understand it

5 0

4 years ago

Simplify. Give your answer in radical form. 2√(-125)