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4 years ago

Consider the line 9x - 5y = 2

Mathematics

1 answer:

Marina86 [1]4 years ago

4 0

Answer:

5y=9x-2

y=mx-b

m=slope

y=9/5x-2/5

m=9/5=1.8 slope of pArallel

slope of pARALLEL=-1/M SLOPE OF A LINE PERPENDICULAR

m=-5/9 slope of a line perpendiculr

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Rewrite 8^(9/5) as a radical expression. I think it might be D, I'm unsure though.

AnnZ [28]

It is D, Nancy Reynolds from Chicago.

The denominator of the exponent is the index of the radical, the base of the exponent is the base of the radical, and the numerator of the exponent is the exponent of the radicand.

$8^{\frac{9}{5}}= \sqrt[5]{8^9}$

7 0

3 years ago

A rectangle has a length that is twice the width if the perimeter of the rectangle is 96 inches, what is the area of the rectang

S_A_V [24]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

Length = 2x

Perimeter = 96 inches

2 * ( length + width) = 96

2 * ( 2x + x ) = 96

2 * 3x = 96

3x = 96/2 = 48

3x = 48

x = 48/3

x = 16 inches

Width = 16 inches

Length = 2*16 = 32 inches

Area = length*width

= 32*16

= 512 sq.cm

4 0

3 years ago

Please Just two questions will 15 POINTS!!

Setler [38]

1. B and D

2.A

I hope this helped, woof.

8 0

4 years ago

On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding pa

Sonja [21]

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Population of 280, which means that $N = 280$

112 use e-ticket check-in kiosk, which means that $k = 112$

Sample of eight passengers means that $n = 8$

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348$

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

3 0

3 years ago

Which statement best describes the conditions for f(x)=a(b)^x to be a model for exponential growth?

s344n2d4d5 [400]

In order for this to be a model of exponential growth, the b term must be greater than 1.

If the b term is between 0 and 1, then it becomes a model for exponential decay as the number will continue to get smaller and smaller for every value of x. Greater than one will continue to grow and therefore be an exponential growth model.

4 0

3 years ago