Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (-30,18)
so
x=-30, y=18
Find the value of k
substitute
Simplify
Divide by 6 both numerator and denominator
Answer:
64x
Step-by-step explanation:
because 4 * 2 is in parenthesis, that means you multiply 8x by them.
8x (4*2)
8x (8)
64x
302.14 is a decimal number
<u>Explanation:</u>
302.14 is a decimal type of number.
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Decimals are based on the preceding powers of 10. Thus, as we move from left to right, the place value of digits gets divided by 10, meaning the decimal place value determines the tenths, hundredths and thousandths. A tenth means one tenth or 1/10. In decimal form, it is 0.1. Hundredth means 1/100. In decimal form, it is 0.01.
Similarly, 302.14 has a decimal place value of hundred.
Answer: y=4/3x+1
Step-by-step explanation:
The formula is Y=mx+b
b is the y-intercept and MX is slope
Answer:
T = 200 months
Step-by-step explanation:
Given the model to be
dp/dt = p(10-1-10-7p) where p(0) = 6000
dp/dt = p(-1-7p)
dp/dt = -p+7p²
But since P(0) = 6000
We plug this value into the equation
P = -6000+7(6000)²
P = -6000+252000000
P = 251994000. .limiting value
Differentiating dp/dt w.r.t p
dp/dt = -1+14p
dp'/dt = 14p-1
Plugging p(0) = 6000 into the above we have that
dp'/dt = 14(6000)-1
P' = 84000
Time population would be equal to 3/2 the limiting value
T = 3/2× 84000 = 126000
T = 25199400/126000
T = 199.99months
T = 200 months.