Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
The answer is 8000 meters I think
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
Answer:
Option B and C are correct.

are the expression incorrect for slope
Step-by-step explanation:
Slope is defined as the change in the dependent variable relative to the change in the dependent variable
or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.
The vertical changes between any two points is rise
The horizontal changes between any two points is run.
Formula for slope is given by:
For any two points
and 
then slope is:
or we can write this as:
Δy = 
Δx = 
⇒
Therefore, the expression which are incorrect for slope are;


Answer:
The correct answer is fabric Jimmy's sister needs =
× fabric Jimmy needs =
×
yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1
yards of fabric =
yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
) yards of what Jimmy needs =
yards of what Jimmy needs.
The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by
Fabric Jimmy's sister needs =
× fabric Jimmy needs =
×
yards of fabric.