All categories

3 years ago

What is the equation of the line that passes through points (-3,0.5) and (3,-0.5)?

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Answer:

Step-by-step explanation:

(-0.5-0.5)/(3+ 3) = 1/6

y - 0.5 = 1/6(x + 3)

y - 0.5 = 1/6x + 0.5

y = 1/6x + 1

You might be interested in

If n is a positive integer and the product all the integeres from 1 to n inclusive is a multiple of 990 what is the least possib

kolbaska11 [484]

Hello,

Since 990=2*3²*5*11 ==>n=11

6 0

3 years ago

A diagram of Eric pool as shown below. He plans to fill this pool to a depth of 4ft with a garden hose that flows at 80ft expone

Alex777 [14]

The Volume of a Cylinder = π • r² • height
radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = 2,290 cubic feet
The hose delivers 80 cubic feet per hour so it will take:
2,290 / 80 = 28.625 hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= 2,576.5 cubic feet

6 0

3 years ago

At a local seaside, a vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50. The vendor stocks a maxim

guapka [62]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.

Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:

0 < x ≤ 70, 0 < y ≤ 45 (1)

The vendor expects to sell no more than 50 ice creams, hence:

x + y ≤ 50

Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)

Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:

Revenue = 3x + 4.5y

At the point (5, 45), the revenue is:

Revenue = 3(5) + 4.5(45) = $217.5

5 0

3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$