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3 years ago

Points (-3,10) and (5,-2) are on a line. what is the slope of the line

Mathematics

1 answer:

lyudmila [28]3 years ago

3 0

I believe it is-8,8 it’s been a while since I’ve done this so sorry if it is not correct

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$20,000 for 14 years compounded at 8% semiannually results in how many periods

rjkz [21]

13 months at $1501.00 per month

3 0

3 years ago

Not sure how to complete #14

pashok25 [27]

14. Add the line times the outside number
X(X+4)= (2√3)^2
X^2+4X= 4√9
X^2+4X= 4times 3
X^2+4X=12
X^2+4X-12=0
(X+6)(X-2)=0
X=-6 X=2
Answe can't be negative so it's X=2

3 0

3 years ago

How much extra money do you need this month to cover<br> these emergencies???<br> Help

victus00 [196]

Answer:

Somewhere between three months and six months of basic living expenses in your emergency fund.

Average Monthly Expenses

$1,000.00

Existing Liquid Savings (Excluding Retirement)

$2,500.00

Easy: Three months, Average: Six months, Difficult: Nine months, Very Difficult: 12 months

8 0

2 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:

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

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

8 0

3 years ago

alexdok [17]

7) A
8) C
9) B
I’m not certain but I hope this helps you...sorry if I got it wrong!!

4 0

3 years ago