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DerKrebs [107]
4 years ago
6

Someone explain (for making change) has pic

Mathematics
2 answers:
Natalija [7]4 years ago
5 0
They made 428.50, you just subtract 25 from 453.50.
UNO [17]4 years ago
3 0
Subtract $25.00 -$453.50=$403.50
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translate this verbal expression to a algebraic expression eight more than six times a number added to one more than nine times
34kurt
I will right it sideways. you can use this strategy later on if you would like. I put (parentheses) around what is optional to include. the = to the left of the second word number is to show that the number is equal. if there are two different variables you would put a crossed out equal sign.
_______________
eight= 8 l
more than= +
six= 6
times= x
(a)number= n l
_______________
added (to)= +
_______________
one= 1 l
more than= +
= number= n l
_______________

(I tried to do parentheses)

then, you rewrite what you wrote beside the words!

(8+6n)+(1+n)

that is your equation!
7 0
4 years ago
Find the slope of the line that connects these points. reminder: the slope is rise over run... change in y over change in x. a.
spin [16.1K]

Answer:

a and b are both -6

Step-by-step explanation:

a. 0-6 over 5-4

-6/1=-6

b. -10-(-4) over -2-(-3)

-10+4 over -2+3

-6 over 1=-6

Hope this helps :)

8 0
3 years ago
Read 2 more answers
If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
4 years ago
Which is the graph of f(x) = –(x + 3)(x + 1)?
Lostsunrise [7]

Answer:

Option 2

Step-by-step explanation:

We know that the graph will face down (the negative sign)

We also know that the vertex should be (-2, 1)

Therefore, option 2 is the solution

5 0
3 years ago
Read 2 more answers
A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the
Vedmedyk [2.9K]
(a) Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T - T_s), we have \dfrac{dT}{dt} = k(T - 75) where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get \dfrac{dT}{T - 75} = k dt. Integrate both sides to get \ln|T - 75| = kt + C.

Since T(0) = 185, we solve for C:
|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110
So we get \ln|T - 75| = kt + \ln 110. Use T(30) = 150 to solve for k:
\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)

So

\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t}  \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}

But choose Positive because T > 75. Temp of turkey can't go under.

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)}  = 136.929 \approx 137{}^{\circ}F

(b)

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30}  \\
100 = 75 + 110(15/22)^{t/30}   \\
25 = 110(15/22)^{t/30}  
\frac{25}{110} = (15/22)^{t/30}   \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22)  \approx 116\ \mathrm{min}

Dogs of the AMS.
4 0
3 years ago
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