casey ran a 75 meter race in 10 seconds her distances at certain times during the race are shown in the table . what is the domain for the graph of the function that would model her race[ time in seconds 0 1 2 3 4 5 6 7 8 9 10 : distance in meters 0.0 5.5 12.0 20.0 28.5 36.0 44.0 56.5 64.0 75.0
Answers
Here, the time goes on the x axis and the distance will go on the y axis.
Time: 0 1 2 3 4 5 6 7 8 9 10
Distance: 0.0 5.5 12.0 20.0 28.5 36.0 44.0 56.5 64.0 75.0
Since we are dealing with the domain, we really only need to focus on the time.
Time: 0 1 2 3 4 5 6 7 8 9 10
From this, we see that the values go from 0 to 10. This means that x can be anything from 0 to 10. Because there are y values that correlate with the numbers 0 and 10, we know that the domain will include 0 and 10. This indicates we must use brackets.
Knowing all of this information, we can now write our domain as:
[0, 10]
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Rearrange the formula P = 2(l + b) for b.
Fill in the blanks so the solution of the system is (5,5) x+y=5 x+y
Answers
Answer:
Two shapes have corresponding congruent parts if and only if the shapes are congruent and one shape can be mapped to the other using a series of rigid transformations. (The first option)
Step-by-step explanation:
The other three statements are false.
Two shapes can have corresponding congruent parts without being congruent. For example, a square and a rectangle can have congruent sides, but they are not congruent shapes.
Two shapes can be congruent without being able to be mapped to each other using a series of rigid transformations. For example, a sphere and a cube are congruent shapes, but they cannot be mapped to each other using only rigid transformations.
Two shapes can be non-congruent and be able to be mapped to each other using a series of rigid transformations. For example, a square and a rectangle can be mapped to each other using a combination of a rotation and a translation.
Answers
72+6
78
78$ is the cost of 8 tickets.
9 (8) + 6
72 + 6
$78
Answers
Answers
Answer: the account earns interest of $40.16
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 875.83
r = 9% = 9/100 = 0.09
n = 12 because it was compounded 12 times in a year.
t = 6 months = 6/12 = 0.5 year
Therefore,.
A = 875.83(1+0.09/12)^0.5 × 12
A = 875.83(1+0.0075)^6
A = 875.83(1.0075)^6
A = 915.99
The interest that she earns is
915.99 - 875.83 = $40.16
Answers
m = (y-y₀)/(x-x₀)
m = (-5-3)/(-2-2)
m = -8/-4
m = 2
For point (2,3) ⇒ x₀ = 2 and y₀ = 3
y-y₀ = m(x-x₀)
y-3 = 2(x-2)
For point (-2,-5) ⇒ x = -2 and y = -5
-5-3 = 2(-2-2)
-8 = 2(-4)
-8 = -8 ⇒ True
Answer:
C. The equation is y-3 = 2(x-2)
Answers
r = √Area = 13 ft
Given, height = 2 x 13 = 26 ft.
Lateral surface area of cylinder = 2πrh = 2 x π x 13 x 26 = 676 π ft²
Total surface area = 2πr(r + h) = 2 x π x 13 x 39 = 1014 π ft²
Thus, lateral surface area is 676 ft² and total surface area is 1014 ft²