Melissa bought a cake that cost $75. The sales-tax rate is 10 percent. What is the total amount she paid for the cake?
Answers
Answer:
the total amount she paid for the cake, $82.5
Step-by-step explanation:
As per the statement:
Melissa bought a cake that cost $75.
⇒Cost of cake = $75
It is also given that:
The sales-tax rate is 10 percent.
then
Sale tax she gave on cake =
We have to find the total amount she paid for the cake.
Substitute the given values we have;
therefore, the total amount she paid for the cake, $82.5
1# Melissa bought a cake of cost $75.
2# The tax that has to be paid for the product is 10% of the cost of the product, itself.
=================================
Total amount of money =
= $75 + $7.5
= $82.5
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Answers
Final answer:
The equation for the aircraft's flight is a quadratic equation representing the height of the aircraft at any given time. By rearranging the equation to isolate time and applying the quadratic formula, we can find the time at which the aircraft reaches its maximum height, which in this case is 3.79 minutes.
Explanation:
The flight of an aircraft from Toronto to Montreal is modeled by the equation h = -2.5t2 + 200t where t represents time in minutes and h represents height in meters. This is fundamentally a quadratic equation which is utilized in physics to characterize motion under constant acceleration. In this case, it models the height of the aircraft at any given time.
To find the time at which the airplane's maximum height is achieved, we must solve the equation for t. By rearranging the equation, we can isolate t, yielding a quadratic equation as follows: 0 m = 0 m + (10.0 m/s) t + (2.00 m/s2) t2. This simplifies to 200 = 10t + t2.
Applying the quadratic formula, we find two solutions for t, 3.79 s and 0.54 s. The time it takes the aircraft to reach its maximum height would be the longer solution, which is 3.79 minutes in this case.
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Final answer:
The question provides a quadratic equation to model the flight of an aircraft. This equation can be used to calculate the height of the aircraft at a specific time or to determine when the aircraft reaches its maximum height.
Explanation:
The question is asking about the trajectory of an aircraft as modelled by a quadratic equation, and specifically, how time influences height. The equation given is h = -2.5t²+200t. Quadratic equations are frequently used to describe the motion of objects when the acceleration is constant. This equation tells us that the height of the aircraft is dependent on the time squared and the time.
To solve for a specific time (t), we can plug the desired time into the equation to find the height of the aircraft at that time. For instance, if we want to find out the height of the aircraft 10 minutes into the flight, we would substitute t=10 into the equation, giving us h=-2.5 × (10)²+200 × (10). Simplifying this equation would provide the height of the aircraft 10 minutes into the flight.
Additionally, this equation could also be used to find the maximum height of the aircraft. The maximum height is reached when the derivative of the equation equals zero. Taking the derivative of h = -2.5t²+200t and setting it equal to zero will provide the time when the maximum height is reached.
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Which relation is a function?
Answers
Answer:
The one on the bottom right corner
Step-by-step explanation:
The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.
Answer: Choice D in the bottom right corner
Reason
If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.
This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.
Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.
a. 1.5
b. 9
c. 3
d. 4
Answers
JK represents the first aspect of the line and is equal to 6r.
Likewise, KL represents the second component of the line and is equal to 3r.
We also know the total value from the first point to the last one, and that is 27.
Now simply add the first 2 expressions that represent the segments of the line and make it equal to the total length of the line, 27 and then solve for r.
6r + 3r = 27
9r = 27
r = 27/9
r = 3.
So now we know that JK is 6 • 3 = 18 and KL is 3 • 3 = 9, thus adding both together will give a value of 27, 18 + 9 = 27.
The solution is C.3
Answer:
Its 3
Step-by-step explanation:
Answers
Answers
Step-by-step explanation:
2x⁴ = 9x²
2x⁴ - 9x² = 0
x²(2x² - 9) = 0
Either x² = 0 or 2x² - 9 = 0.
When x² = 0, x = 0.
When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.
Hence the solutions are
x = 0, x = 3/√2 and x = -3/√2.
Answers
Answer:
Substitution
Step-by-step explanation:
Subtitue x=3 into the second equation
y=2(3)+1
y=6+1
y=7