Which measurement unit might be used to measure the perimeter of a polyground

A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 t

hichkok12 [17]

Answer: $\dfrac{dT(t)}{dt}=77\times (450-T)$

Step-by-step explanation:

Given

The temperature of the liquid is $75^{\circ}F$ placed in an oven with temperature of $450^{\circ}F$ .

Initially difference in temperature of the two

$\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F$

According to the question

$\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]$

5 0

2 years ago

The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets ad

frozen [14]

The cost of the visit to the dentist can be expressed as the cost equals 100x+50.

The initial cost of the appointment would be $50; no matter how many cavities one has, they would still have to pay $50.

The cost of each cavity is represented as 100x, because each cavity costs $100. x represents the number of cavities, as we do not know how many cavities there are.

6 0

3 years ago

Read 2 more answers

State the equation of the line that is perpendicular to 4x-3y=10 through the point (-2,4)

Lynna [10]

The equation of the line that is perpendicular to 4x - 3y = 10 through the point (-2,4) is $y-4=\frac{-3}{4}(x+2)$

Solution:

Given, line equation is 4x – 3y = 10

We have to find a line that is perpendicular to 4x – 3y = 10 and passing through (-2, 4)

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-\mathrm{x} \text { coefficient }}{\mathrm{y} \text { coefficient }}=\frac{-4}{-3}=\frac{4}{3}$

We know that, slope of a line $\times$ slope of perpendicular line = -1

$\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}$

Now, slope of our required line = $\frac{-3}{4}$ and it passes through (-2, 4)

The point slope form is given as:

$\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}$

$y-4=\frac{-3}{4}(x+2)$

Hence the equation of line is found out

6 0

3 years ago

A shopping club is having a a sale. members and non-members of the club recieve different discounts, as shown below

lana [24]

Answer:

Step-by-step explanation:

580 - 58 (10% of 580) = 522

522 - discount price (20) = 502

Sally is paying 502 for her camcorder

990 - 247.5 (25% of 990) = 742.5

742.5 - 20 = 722.5

Sally is paying $502

Tabitha is paying $722.5

5 0

3 years ago

I need help i need the response

nalin [4]

Rectangle on the top: 3a^4b^2
Second: 35x^6y^8z^2
Square: 108x^8y^2

4 0

3 years ago