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2 years ago

13

The function C(t) = 5t 0.1t + 3.3 models the amount of a drug in a persons bloodstream over a period of time. What is a reasonab

le domain for this function?

2 answers:

enyata [817]2 years ago

7 0

<span>y = 50x/(x+33)
x≠-33
xy + 33y = 50x
33y = x(50-y)
33y/(50-y)= x

or y≠50

=> yϵ R - {50} </span>

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

The answer is 0 < x < ∞

Step-by-step explanation:

Since t represents the amount of time that has passed a reasonable domain is 0 < x < ∞.

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In parallelogram QRST QS RT Is QRST a rectangle ?

fomenos

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.

According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.

Let QRST be an parallelogram and QS=RT.

In triangles QRT and RQS.

$RT=QS$ (Diagonals)

$QR=QR$ (Common side)

$QT=RS$ (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.

By CPCT,

$\angle R=\angle Q$

Since the sum of two consecutive angles of a parallelogram is 180 degree.

$\angle R+\angle Q=180$

$2\angle R=180$

$\angle R=90$

Therefore the measure of angle R and angle Q are 90 degree.

Similarly in triangle QST and RTS,

$RT=QS$ (Diagonals)

$ST=ST$ (Common side)

$QT=RS$ (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QST and RTS are congruent.

By CPCT,

$\angle S=\angle T$

Since the sum of two consecutive angles of a parallelogram is 180 degree.

Therefore the measure of angle S and angle T are 90 degree.

Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.

6 0

3 years ago

Read 2 more answers

2/0 = 32/48 = 30/0. What number shpuld come in place of the zeros?

Anton [14]

Answer:

$\sf \dfrac{2}{3} = \dfrac{32}{48} = \dfrac{30}{45}$

<h3><u>For the 1st part</u></h3>

$\sf \rightarrow \dfrac{2}{x} = \dfrac{32}{48}$

$\sf \rightarrow 2(48)= {32x}$

$\sf \rightarrow 32x= 96$

$\sf \rightarrow x = 3$

<h3><u>For the 2nd part</u></h3>

<u /> $\rightarrow \sf \dfrac{32}{48} = \dfrac{30}{y}$

$\rightarrow \sf {32y} = 30(48)$

$\rightarrow \sf {32y} = 1440$

$\rightarrow \sf y = 45$

8 0

2 years ago

24 ÷ v x k when v=2 and k=4

Leya [2.2K]

Answer:

48

Step-by-step explanation:

24 ÷ v x k

24 ÷ 2 x 4

(Since it's multiplication and division, you just go from left to right in order)

12 x 4

48

5 0

2 years ago

Arlin has 9 dollars and 37 cents. Lauren has 6 dollars and 63 cents. How much money does Arlin need to give Lauren so that each

miv72 [106K]

Answer:

Arlin has to give lauren 1.37

Step-by-step explanation:

9.37 + 6.63 / 2 = 16 / 2 = 8

9.37 - 8 = 1.37

6 0

2 years ago

Read 2 more answers

Alice placed $1,900 in a savings account which earns 2.2% interest, compounded every year. How much will she have in the account

ella [17]

She will have $2118 in her account after five years

<h3>How to determine the amount in five years?</h3>

The given parameters about the compound interest are

Principal Amount, P = $1,900

Interest Rate, R = 2.2%

Time, t = 5

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R)^t - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

Substitute the known values in the above equation

A = 1900 * (1 + 2.2%)^5

Express 2.2% as decimal

A = 1900 * (1 + 0.022)^5

Evaluate the sum

A = 1900 * (1.022)^5

Evaluate the exponent

A = 1900 * 1.11495

Evaluate the product

A = 2118

Hence, she will have $2118 in her account after five years

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

6 0

10 months ago