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4 years ago

PLEASE HELP ME, I WOULD APPRECIATE IT. What is the perimeter of the figure below?

Mathematics

1 answer:

nekit [7.7K]4 years ago

7 0

Answer:

Step-by-step explanation:

Perimeter = sum of all sides

; 2 + 9 + 11 + 2 + (11 - 2)

; 33

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Select the ordered pair that represents a solution to each function below.<br> f(x) = -x^2 +5

sweet [91]

Answer:

Factored: - ( x - 5 )( x + 1 ) X - Intercepts: (5, 0) and (-1, 0)

Step-by-step explanation:

f(x) = -x^2 +5

Factor:

-x^2 + 5

- ( x - 5 )( x + 1 ) = 0

-x + 5 = 0 -x - 1 = 0

-x = -5 -x = 1

-x/-1 = -5/-1 -x/-1 = 1/-1

x = 5 x = -1

X - Intercepts = (5, 0) and (-1, 0)

Y - Intercepts = (0, 5)

8 0

4 years ago

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

o-na [289]

So lemme ...
45+(24x)=h

I feel this is the best I can do with the given information ... hope this helps

5 0

3 years ago

First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

4 years ago

TRUE OR FALSE!!it is possible for a system of linear equations to have no solution

frez [133]

True
if the lines are paralell, there is no intersection and therefor no solution

example
y=3x+4
and
y=3x+10
or

3x+2y=4 and
3x+2y=9

true

4 0

4 years ago

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

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 interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

3 years ago