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3 years ago

Help ? I don’t know how to do it

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

I think 60°
these angles are very confusing sorry!

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What is the domain of y = log Subscript 4 Baseline (x + 3)?

LekaFEV [45]

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

3 0

2 years ago

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

4 0

3 years ago

Express 0.002304 in standard form , correct to one decimal place

PSYCHO15rus [73]

Answer:

$= 2.3 \times {10}^{ - 3}$

6 0

3 years ago

Read 2 more answers

A circle has a diameter of 15 centimeters and a central angle EOG that measures 210°. What is the area of sector EOG? Use 3.14 f

docker41 [41]

Area of the whole circle = 3.14 * 7.5^2

area of the sector = (3.14 * 7.5^2 * 210) / 360
= 103 cn^2 to nearest whole number

8 0

3 years ago

Find the volume of a cone whose height is 7.5cm and the base diameter is 7cm pi=22/7

xz_007 [3.2K]

Answer:

92.64 cm^3 (it should be smaller if using actual pi, 22/7 is larger than pi)

Step-by-step explanation:

The equation for the volume of a cone is 1/3(pi*h*r^2) So, first we need to find the radius, which is diameter over 2, so the radius is 3.5 cm. Now we know all of the variables so we can plug in to solve.

4 0

4 years ago