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Elena L [17]
4 years ago
6

Solve for the indicated variable. s+4t=r for s

Mathematics
2 answers:
Fiesta28 [93]4 years ago
7 0
S + 4t = r      |subtract 4t from both sides

<u>s = r - 4t</u>
MArishka [77]4 years ago
3 0


s+4t=r  ,

when 4t crosses the = sign

the answer is s=r-4t

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Natali [406]
6x + 4x + 10 = 180
10x = 170
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mCA = 4(17) + 10 = 68 + 10 = 78

Answer:
mCA = 78°
8 0
4 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
The table gives 20 years of data on the number of students in a particular school who dropped out in the ninth grade. A sample i
Delvig [45]

Answer:

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6 0
3 years ago
Please help me with this question helel
Vera_Pavlovna [14]

Answer:

\frac{1}{2}

Step-by-step explanation:

Given

tan x = \sqrt{3}, then

x = tan^{-1}(\sqrt{3} ) = 60° ← related acute angle

Since 180° < x < 270° and tan x > 0 then x is in third quadrant

x = 180° + 60° = 240°

and

sin(x - 210)°

= sin(240 - 210)°

= sin30°

= \frac{1}{2}

6 0
3 years ago
Can u help me to solve this​
krek1111 [17]

Answer:

3b(2a+1)(2a-1)

Step-by-step explanation:

12a²b-3b

3b(4a²-1)

3b{(2a)²-1²)}

3b(2a+1)(2a-1)

7 0
3 years ago
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