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Rufina [12.5K]
3 years ago
10

Mallory began the month $135 in debt.

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

-135+95

Step-by-step explanation:

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Ben's employer will reimburse him $0.13 per mile driven. If Ben drives 210.1 miles on a business trip, what is his mileage reimb
Helen [10]

Answer:

27.31

Step-by-step explanation:

Take the number of miles and multiply by the reimbursement rate

210.1 * .13

27.313

Round to the nearest cent

27.31

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2 years ago
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f
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The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7

\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}

8 0
2 years ago
Which of the following would form a triangle with the two existing sides of 3 inches and 5 inches
Salsk061 [2.6K]

is there photos for this question? sorry im a lil confused on "what the following" are

5 0
3 years ago
Read 2 more answers
Match the rate - - .75 -- with corresponding time of year
vovikov84 [41]

Answer: C. Nine Months, 9/12 = 9÷12 = 0.75

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.083333

C. Nine Months, 9/12 = 9÷12 = 0.75

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
The probability of a customer arrival at a grocery service counter in any one second is equal to 0.3. Assume that customers arri
Svetllana [295]

Answer:

Step-by-step explanation:

Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3

Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.

i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7

a) the probability that the first arrival will occur during the third one-second interval.

= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec

= 0.7^2 (0.3)\\= 0.147

b)  the probability that the first arrival will not occur until at least the third one-second interval.

Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)

=(0.7^2)[0.3+0.7*0.3+0.7^2*0.3+....)\\

The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1

Hence the series converges

Prob =0.7^2 *\frac{0.3}{1-0.7} \\=0.49

5 0
3 years ago
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