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3 years ago

Please help this is the last answer I need for the assignment.

Mathematics

1 answer:

solong [7]3 years ago

7 0

Answer:

-72

Step-by-step explanation: 9x-1= -9 and 8x+8= 8 and then parenthesis around both equations, which mean multiply, so -9 x 8= -72 .

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The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o

NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

$\displaystyle c(t)=\frac{50\ t}{t^2+25}$

We need to find the first value of t such that

$\displaystyle c(t)\geq 4$

It means that

$\displaystyle \frac{50\ t}{t^2+25}\geq 4$

Operating with the inequality

$\displaystyle 50\ t\geq 4\ t^2+100$

Rearranging and dividing by 2, we have a polynomial inequality:

$\displaystyle 2t^2-25t+50\leq 0$

Factoring

$\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0$

There are two possible values for t, both valids because they are positive

$\displaystyle t=\frac{5}{2}=2.5, \ t=10$

We need to find the first value, i.e.

$t=2.5 \ hours$

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

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3 years ago

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mojhsa [17]

The equation of the line is Y= 3/4x-2

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3 years ago

If a = 9 and c = 20, the measure of ∠B = ____ degrees (to the nearest tenth).

Maslowich

Answer: We are missing some data here, but it appears to be a right triangle question. Assuming that triangle ABC is a right triangle, the measure of angle B would be about 63.26 degrees.

If you draw a right triangle ABC with the given information, you will see that we have an adjacent side and hypotenuse with regard to angle B.

Therefore, we can write and solve the following cosine ratio.

cos(B) = 9/20
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3 years ago

The length of a rectangle is 4 centimeters more than twice its width, If the perimeter of the rectangle is 86 centimeters, find

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= 1
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4 years ago

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Answer:

you need to list the sets of data.

Step-by-step explanation:

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