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3 years ago

in slope intercept form write the equation of a line that is parallel to 3x - 5y = 7 and passes through (0, -6)

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

The gradient is 3/7 make y the subject. Then put the coordinates in the equation.

Step-by-step explanation:

You might be interested in

Find the 100th term in the arithmetic sequence 0,5,10,15

Viktor [21]

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=> 0 + (100 - 1) 5

=> 99 x 5

=> 495

8 0

4 years ago

A countrys population in 1995 was 173 million in 1997 it was 178 million estamate the population in 2005 using the expontial gro

9966 [12]

Answer: the population in 2005 is

199393207

Step-by-step explanation:

The formula for exponential growth which is expressed as

A = P(1 + r/n)^ nt

Where

A represents the population after t years.

n represents the periodic interval at which growth is recorded.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 173 million

A = 178 million

t = 1997 - 1995 = 2 years

n = 1

Therefore

178 × 10^6 = 173 × 10^6(1 + r/1)^2 × 1

178 × 10^6/173 × 10^6 = (1 + r)^2

1.0289 = (1 + r)^2

Taking square root of both sides, it becomes

√1.0289 = √(1 + r)^2

1 + r = 1.0143

r = 1.0143 - 1 = 0.0143

Therefore, in 2005,

t = 2005 - 1995 = 10

A = 173 × 10^6(1 + 0.0143)^10

A = 173 × 10^6(1.0143)^10

A = 199393207

4 0

3 years ago

Anyone know the answer?

kherson [118]

Answer:

A≈18.38

Step-by-step explanation:

Solve for area

Shape: Parallelogram

Formula: Base*Height

5.25*3.5=18.375

Round answer

Hope this helps.

6 0

3 years ago

The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou

Aleksandr [31]

Answer:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

$\sigma = 80$ represent the deviation

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be $z_{\alpha/2}=1.960$ , replacing into formula (b) we got: