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3 years ago

PLEASE ANSWER THIS ASAP !!!!!

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

Answer:

f(2) = -5

Step-by-step explanation:

For this problem, we are evaluating the graph of f(x), meaning at the value of x, we want the y-value.

Note, when x = 2 on the graph, the only y coordinate available is y = -5.

Hence, when we evaluate f(x) for x = 2, we get y = -5. f(2) = -5.

Cheers.

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which circle is largest? (1 in= 2.54cm). Circle A: diameter- 8in., circle B: circumference= 20in or Circle C: radius= 13 cm

IceJOKER [234]

C. Radius = 13cm

Circumference = pi(2r)
C = 3.14(2x13cm)
C = 81.64cm x 1in/2.54cm = 32 in

Pi / 3.14
Where pi is defined as the ratio of a circle’s circumference divided by the diameter of the its circle. Pi has a value which is 3.1416. This pi is a constant value expressed by the quotient of its circumference over the diameter. What type of number best describes the diameter is the pi. Hence, if we describe the diameter, diameter is the quotient of pi over the circumference of a circle by itself. It can’t change in value since for every solution and quotient of a circle each calculation gets 3.14 more or less.

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4 years ago

Two legs of a right triangle each measure 10 incles how long is the hypotenuse

elena-14-01-66 [18.8K]

Answer:100

Step-by-step explanation:10² + 10² =c² 10x10 is 100 for both since its square root

100+100=c² 100+100 is 200

your always going to divide by 2 so your going to divide 200÷2=100

so the hypotenuse is 100

5 0

3 years ago

Read 2 more answers

A pharmacist receives a special request from an ophthalmologist to prepare a fortified tobramycin ophthalmic solution.

Harrizon [31]

Answer:

2/7 ml

Step-by-step explanation:

When we have a solution expressed in Q mg/ml, the concentration is (Q/10)%.

For example, a solution of 3 mg/ml is a 3/10=0.3% concentration solution, a solution of 40 mg/ml is a 40/10=4% concentration solution.

Why?

Q mg/ml means that 1 ml of solution has Q mg of the drug or active component. So, 100 ml have 100*Q mg.

But 100*Q mg = Q/10 grams.

If a solution has Q/10 grams in 100 ml, then it is a (Q/10)% concentration.

Now, we have 5 ml of a solution that contains tobramycin, 3 mg/ml (each ml has 3 mg of tobramycin).

This means that the 5 ml contain 15 mg of tobramycin.

On the other hand, we have another solution S containing 40 mg/ml of tobramycin. This means that each ml of S contains 40 mg of tobramycin.

Let x be the amount of ml of S we have to add to our first 5 ml.

If 1 ml of S contains 40 mg of tobramycin, x ml contain 40*x mg.

If we add this x ml to our first 5 ml, we have 5+x ml containing 15+40*x mg of tobramycin.

Now, cross-multiply to get how much tobramycin contains 1 ml of this new solution.

5+x ml ____contain____15+40*x mg of tobramycin

1 ml ____contains____? mg

And we have

$\large \frac{5+x}{1}=\frac{15+40x}{?}\Rightarrow ?=\frac{15+40x}{5+x}$

as a result, we have a solution of

$\large \frac{15+40x}{5+x}\;mg/ml$

We want to prepare a solution 0.5% in concentration.

Using what we state at the beginning, we need to find a value x such that

$\large \frac{(15+40x)/(5+x)}{10}=0.5$

solving for x

$\large \frac{(15+40x)/(5+x)}{10}=0.5\Rightarrow \frac{15+40x}{5+x}=5\Rightarrow 15+40x=25+5x\Rightarrow\\\\\Rightarrow 40x-5x=25-15\Rightarrow 35x=10\Rightarrow x=10/35=2/7 \;ml$

So, we have to add just 2/7 ml of the stronger solution.

6 0

3 years ago

X(2x-5) = 12 How to solve for x?

vlabodo [156]

Answer:

$x=4,\:x=-\frac{3}{2}$

Step-by-step explanation:

$x\left(2x-5\right)$

Apply the distributive law.

$=x\cdot \:2x-x\cdot \:5$
$=2x^2-5x$
$2x^2-5x=12$
Subtract 12 from both sides.
$2x^2-5x-12=12-12$
$2x^2-5x-12=0$
Now, apply the quadratic formula.
$x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}$
$x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}$
Separate the solutions.
$x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}$
Simplify.
$x=4,\:x=-\frac{3}{2}$