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topjm [15]
3 years ago
6

A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a c

oordinate grid. If the car begins at (−3,−5) and ends at (5,9), which of these expresses the car's displacement in vector form?
A
(14,8)

B
(10,12)

C
(8,14)

D
(2,4)
Mathematics
2 answers:
kirill [66]3 years ago
8 0

Answer:

C(8,14)

Step-by-step explanation:

initial point (-3,-5) and terminal point (5,9)

vector form=(change in x, change in y)

V=(Xf-Xi,Yf-Yi)

V=[5-(-3), 9-(-5)]

V=(8,14)

GaryK [48]3 years ago
6 0
The answer is C. Hope this helps
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Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had rev
nikklg [1K]

Answer:

the cash flow from operation is $267,397

Step-by-step explanation:

Given that

Revenues be $876,223

General and admin expense $352,479

Depreciation expense $131,455

Leasing expense $108,195

Interest expense $78,122

Tax rate is 34%

We need to find out the cash flow from operation

As we know that

Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation

= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455

= $205,972 × (1 - 0.34) + $131,455

= $267,397

Hence, the cash flow from operation is $267,397

8 0
3 years ago
Which expression is equivalent to 4+x+x+2x+5+3+x?
AysviL [449]

\longrightarrow{\blue{B.\:5x\:+\:12}} 

\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}

4 + x + x + 2x + 5 + 3 + x

Combining like terms, we have

= x + x + 2x + x + 4 + 5 + 3

Next, add them

= 5x + 12

Therefore, ''\sf\pink{4 + x + x + 2x + 5 + 3 + x}" is equivalent to "\sf\purple{5x\:+\:12}."

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}

4 0
3 years ago
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Answer:

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Rashid [163]

Total amount of what?

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Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a
gogolik [260]

Answer:

a) 0.122

b) 3.35 × 10⁻⁴

c) 0.1071

Step-by-step explanation:

Here we have the Poisson process given by

P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

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P(N(2) = 6) =  0.122

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

4 0
3 years ago
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