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finlep [7]
3 years ago
9

If x=5y-1and 3x+5=-32, what is the value of y

Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

-2.27

Step-by-step explanation:

3x = -32 - 5

3x = - 37

x = - 12.333333333

x = 5 y - 1

substitute x value

- 12.333333 + 1 = 5 y

- 11 .333333 = 5y

- 11.333333 divided by 5 = - 2.27

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Two vertices of a polygon are ( 7, -18) and (7, 18). What is the length of this side of the polygon?
Scilla [17]
Because the two vertices have the same x-coordinate, the side is a vertical line. It starts vertically from -18 to 18

the length = 18 - (-18)
the length = 18 + 18
the length = 36

The length of the side is 36 unit
8 0
3 years ago
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e
Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 \mu g/mL at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in \mu g/mL

C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})

Thus, we are given the time interval [0,12] for t.

  • We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
  • The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})

Equating the first derivative to zero, we get,

\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0

Solving, we get,

8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2

At t = 0

C(0) = 8(e^{(0)}-e^{(0)}) = 0

At t = 2

C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185

At t = 12

C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 \mu g/mL at t= 2 hours.

4 0
2 years ago
15. PLEASE HELP ME
Nana76 [90]
  • Surface Area=7238in^2

We know

\boxed{\sf Surface\:area=4\pi r^2}

\\ \sf\longmapsto 4\pi r^2=7238

\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238

\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}

\\ \sf\longmapsto r^2=\dfrac{5066}{88}

\\ \sf\longmapsto r^2=575.75

\\ \sf\longmapsto r^2\approx576

\\ \sf\longmapsto r\approx\sqrt{576}

\\ \sf\longmapsto r\approx24in

<h3>Option b is coreect</h3>
4 0
3 years ago
Read 2 more answers
The slopes of perpendicular lines are _______ reciprocals.
MariettaO [177]
The negative reciprical


7 0
3 years ago
Read 2 more answers
Please help this is due in tommorow! I will mark you as brainliest!
pshichka [43]

Answer:

325.26

Step-by-step explanation:

that's the answer because you have to multiply the top

I have question do we have to do something to the bottom?

5 0
3 years ago
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