Find the distance and the midpoint between the points (-1,1) and (3,4)

Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of t

faust18 [17]

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min

6 0

3 years ago

A set S of strings of characters is defined recursively by 1. a and b belong to S. 2. If x belongs to S, so does xb. Which of th

alukav5142 [94]

Answer:

a) a

b) ab

e) bbbbb

Step-by-step explanation:

We are given the following in the question:

$a, b \in S$

$x \in S \Rightarrow xb \in S$

a) a

It is given that $a \in S$

b) ab

$\text{If }a \in S\\\Rightarrow ab \in S$

Thus, ab belongs to S.

c) aba

This does not belong to S because we cannot find x for which xb belongs to S.

d) aaab

This does not belong to S because we cannot find x for which xb belongs to S.

e) bbbbb

$\text{If }b \in S\Rightarrow bb \in S\\\text{If }bb \in S\Rightarrow bbb \in S\\\text{If }bbb \in S\Rightarrow bbbb \in S\\\text{If }bbbb \in S\Rightarrow bbbbb \in S$

Thus, bbbbb belongs to S.

8 0

3 years ago

Find the measure of 14x+7+44+9x+3=180?

IRISSAK [1]

Answer:

X = 40

Step-by-step explanation:

3 0

3 years ago

How to do this equation y=2x-10 and 2y=x-8

Lana71 [14]

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Hope This Helps!!!

8 0

2 years ago

what will be the total paid on an amortized loan of $15,000 for 5 years at 2 3/4% compounded monthly?

Alex73 [517]

the loan is being amortized, so that doesn't matter for its future value, the simple case that the borrower is paying it in bits monthly.

so, we're really just looking for the future value of the Principal $15000, let's convert theat mixed fraction to improper fraction, and then to a percent format firstly.

$\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}\implies \stackrel{decimal}{2.75} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt}$

$\bf \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$15000\\ r=rate\to 2.75\%\to \frac{2.75}{100}\dotfill &0.0275\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=15000\left(1+\frac{0.0275}{12}\right)^{12\cdot 5}\implies A=15000\left( \frac{4811}{4800} \right)^{60}\implies A\approx 17208.318305$

how did we get 4811/4800? well, is really just the 1+(0.0275/12), which gives us about 1.0022917 but is a repeating decimal, so 4811/4800 is just the fraction version of it.

5 0

3 years ago

Find the distance and the midpoint between the points (-1,1) and (3,4)​

Find the distance and the midpoint between the points (-1,1) and (3,4)