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3 years ago

What is 2n+3n +1 +8n+4

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

How do you need this answered?
If you need it simplified it would be 13n+5

Please tell me or you need it solved

Tamiku [17]3 years ago

6 0

Answer:

13n + 5

Step-by-step explanation:

2+3+8 = 13n

1+4 = 5

13n+5

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Match each distributive property to the correct numerical expression.

sineoko [7]

Hope this can help you out a bit

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3 years ago

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seropon [69]

Answer:

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Step-by-step explanation:

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2 years ago

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter

jolli1 [7]

Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

$\frac{d(r(t) = 3ti + (1 - 4t)j + (1 + 2t)k)}{dt} \\r'(t)=3i-4j+2k\\$

since s(t) is the arc length for r(t), which is define as

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt$

if we substitute the value of r'(t) we arrive at

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt\\s(t)=\int\limits^t_0 {\sqrt{3^{2} +4^{2}+2^{2}} \, dt\\s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\$

$s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }$

substituting the value of t in to the given vector equation we have

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

4 0

4 years ago

According to insurance records, a car with a certain protection system will be recovered 87% of the time. If 600 stolen cars are

White raven [17]

Answer:

The mean and standard deviation of the number of cars recovered after being stolen is 522 and 8.24 respectively.

Step-by-step explanation:

We are given that according to insurance records, a car with a certain protection system will be recovered 87% of the time.

Also, 600 stolen cars are randomly selected.

Let X = <u><em>Number of cars recovered after being stolen</em></u>

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=01,2,3,......$

where, n = number of trials = 600 cars

r = number of success

p = probability of success which in our question is the probability

that car with a certain protection system will be recovered,

i.e. p = 87%.

So, X ~ Binom(n = 600, p = 0.87)

Now, the mean of X, E(X) = $n \times p$

= $600 \times 0.87$ = 522

Also, the standard deviation of X, S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{600 \times 0.87 \times (1-0.87)}$

= 8.24

3 0

3 years ago

A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the

Reil [10]

Answer:

The total weight = 1286 × 62.4 = 80246 pounds.

Step-by-step explanation:

The formula of the volume of the sphere is

V = 4/3×π×r³

Given

d = 17 feet

d = 2r

r = d/2 = 17/2 = 8.5 feet

V = 4/3×π×r³

Since we need half of the volume as it is a hemispherical tank.

= 1286 ft³

Given that the weighs 62.4 pounds per cubic foot

Thus, the total weight = 1286 × 62.4 = 80246 pounds.

6 0

3 years ago