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3 years ago

What’s the area of this rectangle

Mathematics

1 answer:

attashe74 [19]3 years ago

5 0

Answer:

$n^{2} +2n-15$

Step-by-step explanation:

Just multiply the two sides

1. $(n+5)(n-3)=A$

Use FOIL (First, Outer, Inner, Last)

2. $n^{2} +2n-15$

^ After simplifying

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A 6.50 kg crate is suspended from the end of a short vertical rope of negligible mass. An upward force F(t) is applied to the en

borishaifa [10]

Answer:

$F=158.86 N$

Step-by-step explanation:

We are given that

Mass of crate=m=6.5 Kg

Height, $y(t)=(2.80m/s)t+(0.610m/s^3)t^3$

We have to find the magnitude of F when t=4 s

Differentiate w.r.t t

$v=\frac{dy}{dt}=2.8+3(0.61)t^2$

Again differentiate w.r.t t

$a=\frac{dv}{dt}=3\times 2(0.61)t$

$a=3.66tm/s^3$

Substitue t=4

$a=3.66\times 4=14.64m/s^2$

$F-mg=ma$

Where $g=9.8m/s^2$

Substitute the values

$F-6.5\times 9.8=6.5\times 14.64$

$F=6.5\times 14.64+6.5\times 9.8$

$F=158.86 N$

5 0

3 years ago

If g(x)=x+1/x-2 and h(x)=4-x, what is the value of (g•h)(-3)

beks73 [17]

Answer:

14/5

Step-by-step explanation:

That " • " signifies multiplication.

g(x) = (x + 1) / (x - 2) and h(x) = 4 - x are to be multiplied together to obtain (g·h)(x):

(x + 1)(4 - x)

(g·h)(x) = --------------------

x - 2

This could be simplified.

But our task is to evaluate this product function at x = -3. So we replace each instance of x with -3:

( -3 + 1 )( 4 - [-3] ) (-2)(7)

(g·h)(-3) = -------------------------- = ----------- = 14/5

-3 - 2 -5

8 0

3 years ago

Let X equal the number of typos on a printed page with a mean of 4 typos per page.

timama [110]

Answer:

a) There is a 98.17% probability that a randomly selected page has at least one typo on it.

b) There is a 9.16% probability that a randomly selected page has at most one typo on it.

Step-by-step explanation:

Since we only have the mean, we can solve this problem by a Poisson distribution.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that $\mu = 4$

(a) What is the probability that a randomly selected page has at least one typo on it?

Thats is $P(X \geq 1)$ . Either a number is greater or equal than 1, or it is lesser. The sum of the probabilities must be decimal 1. So:

$P(X < 1) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X < 1)$

In which

$P(X < 1) = P(X = 0)$ .

$P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.0183$

$P(X \geq 1) = 1 - P(X < 1) = 1 - 0.0183 = 0.9817$

There is a 98.17% probability that a randomly selected page has at least one typo on it.

(b) What is the probability that a randomly selected page has at most one typo on it?

This is $P = P(X = 0) + P(X = 1)$ . So:

$P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.0183$

$P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.0733$

$P = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916$

There is a 9.16% probability that a randomly selected page has at most one typo on it.

3 0

3 years ago

if you have been traveling 365 miles for 5 hours, what is the unit rate that you have been traveling at

kirill115 [55]

Answer: 73

Step-by-step explanation:

365/5 =75 so 5 miles of going 73 miles per hour

4 0

4 years ago

Which of the following is a monomial?<br> A.x^-2<br> B.x<br> C.(x+1)^2<br> D.y/x

Sidana [21]

B should be the answer.

4 0

3 years ago