Answer:
A translation 1 unit left and 2 units up
Step-by-step explanation:
1) look at the point at the very bottom-we can call that point A
2) that point on figure C would be at (3,-5)
3) if you move it to the left one and up two, you get that same point but on figure D
So, the answer is the second option
Consider the given parallelogram KLMN.
Prove:
Statement Reason
1. Definition of parallelogram
2. Same Side interior angle theorem
3. Substitution property
4. Subtraction property of equality
Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5. Angle Congruence Postulate
When two angles are equal, then they are said to be congruent by Angle congruence postulate.
Answer:
(85.62, 90.38).
Step-by-step explanation:
The missing data can be assumed to be we have the following information:
¯x =88, s=10, n=70
Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:
95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)
The answer is (85.62, 90.38).
Answer:
£280.0
Step-by-step explanation:
Given the following
Rate R= 4%
Time T = 1year
Amount = £291.20
Simple Interest I = ?
I = PRT/100
A = P+I
Since P = A-I
I = (A-I)RT/100
I = (291.2-I)RT/100
100I = (291.2-I)4
100I = 1,164.8-4I
104I = 1,164.8
I = 1,164.8/104
I = £11.2
Amount = P+I
Principal = A-I
P = 291.2-11.2
P = 280.0
Hence patrick invested £280.0
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)