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2 years ago

Parallel, orthogonal, or neither.

1 answer:

8 0

Vectors are orthogonal, when dot product $u\cdot v=0$

$u\cdot v=\langle-1,3\rangle\cdot\langle-9,-3\rangle=(-1)\cdot(-9)+3\cdot(-3)=9-9=0$

Vectors $u$ and $v$ are orthogonal.

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3. Jack buys a bicycle on sale for $59.

Semmy [17]

Answer:

One 50$, one 5$, and four 1$ bills

6 0

3 years ago

Read 2 more answers

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

It takes around 6.93 years to double the investment.

8 0

2 years ago

there are 12 students who play the clarinet and 16 students who play the viola. what does the ratio 16:12 describe?

Oksi-84 [34.3K]

Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

Step-by-step explanation:

Given : Number of students who play the clarinet= 12

Number of students who play the viola=16

We know that ratio of A to B is represented by A:B.

Since, the number '12' is representing " students who play the clarinet" and number '16' is representing " students who play the viola"

So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

6 0

2 years ago

Noah needs to order some new supplies for the restaurant where he works. The restaurant needs at least 503 knives. There are cur

anastassius [24]

Answer:

10x+391≥503

Step-by-step explanation:

let x = # of sets

If you need at least 503 knives, both the sets of knives and the initial amount we already have (391) must add to have a number of knives greater than or equal to the minimum required amount.

4 0

1 year ago

Add (13x – 4) and (–6x + 15)

kompoz [17]

(13x – 4) + (–6x + 15) =

13x - 4 - 6x + 15 =

7x + 11

4 0

2 years ago