Answer:
Initial amount;
2110.6
Common ratio;
0.0201
Equation;
Step-by-step explanation:
In this scenario, the month represents the independent variable x while the membership amount represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.
7 worms, 3 beetles, 2 lizards
<span>I found this by first doing the calculations for the number of legs (26). First, I added the legs for the 3 beetles together to get 18 legs. Then I added the legs for 2 lizards (8) to the beetles’ legs to get 26 legs in total.To find the number of heads I added the number of lizard heads (2) and beetles heads (3) to get five heads. Then I added the 7 worm’s heads to the lizard and beetles heads to get 12 heads in total.</span>
Answer:
9. x>-4 or x≥1
10. a<2 or a≥-5
11. v≤7 or v≥-4
12. k≥5 or k<8
13. n>6.8 and n≤9
Step-by-step explanation:
9. -2x-7>1
-2x>8
x>-4
x-2≥-1
x≥1
10.a/-2 <-1
a<2
-4a+3≥23
-4a≥20
a≥-5
11. 6v+38≤-4
6v≤-42
v≤7
2(v+3)≥-2
2v+6≥-2
2v≥-8
v≥-4
12. 4(1-k)≥-16
4-4k≥-16
-4k≥-20
k≥5
7-6k<-41
-6k<-48
k<8
13. 10n-9>-59
10n>-68
n>6.8
n-6≤3
n≤9
Answer:
The answer to your question is letter B.
Step-by-step explanation:
Data
Center = (-10, 6)
radius = 8
Process
1.- To find the answer to your question just substitute the values in the standard form of the circle.
Equation
(x - h)² + (y - k)² = r²
h = -10
k = 6
r = 8
Substitution
(x + 10)² + (y - 6)² = 8²
Simplification
(x + 10)² + (y - 6)² = 64
Answer:
y=-1/2x+2
Step-by-step explanation:
First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.
Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2
