Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation h = -2t^(2) + 7t + 4 models the toy's height h in feet from the ground at t seconds after he threw it. a) How high is the toy after 0-4 seconds?
Answers
Step-by-step explanation:
The height attained by the toy as a function of time t is given by :
h is in feet and t is in seconds
Height of the toy at t = 0
Height of the toy at t = 4 seconds is :
So, between 0 to 4 seconds, height of the toy is 4 feets.
Final answer:
The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.
Explanation:
The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.
For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.
For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.
For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.
For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.
For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.
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Related Questions
On a map, Julia's home is 8.5 in. from the library. If the map scale is 1 in.: 0.25 mi, how many miles from the library does Julia live?
Y = –2r +4 complete the missing value in the solution to the equation (_,-2)
Solve for X (X+b)/4=c
Find the square of the number.9
a structure that breaks down sugar molecules to provide energy—only plant cells have structures with this function
a structure that converts energy from sunlight into chemical energy—only plant cells have structures with this function
a structure that can store water, waste, food, and other materials—only animal cells have structures with this function
Answers
Answer:
a
Step-by-step explanation:
Answer:
It’s c on edge 2021
Step-by-step explanation:
I just took the test
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The amountlessspend by buying in store Athan in store B is $84
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of smokedetectors to be purchased.
= 12
Store A:
Cost of one smokedetector = $17
Cost of 12 smokedetectors.
= 12 x 17
= $204
Store B:
Cost of one smokedetector = $24
Cost of 12 smokedetectors.
= 12 x 24
= $288
Now,
The difference between the cost of 12 smokedetectors from store A to store B.
= $288 - $204
= $84
Thus,
The amountlessspend by buying in store Athan in store B is $84
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Answer:
$84
Step-by-step explanation:
so for store A, you would do $17*12 smoke detectors, Which would give you $204. For store B you would do $24*12 smoke detectors. That is $288. Now all you do is 288-204=84. You would save $84 dollars going to store A
B. y = two-seventhsx – 12
C. y = 12x–two-sevenths
D. y = 12x + two-sevenths
Answers
Answer:
y = (2/7)x -12 (Answer Choice B)
Step-by-step explanation:
Take the given values ( m=2/7 and y-intercept (0,-12) ) and substitute them into y = mx + b:
y = (2/7)x -12
Final answer:
The equation of a line in slope-intercept form, given the slope is two-sevenths and the y-intercept is (0, -12), is y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12.
Explanation:
The equation of a line in the slope-intercept form is usually represented as y = mx + b, where 'm' represents the slope of the line, and 'b' is the y-intercept. In your given conditions, the slope 'm' is given to be two-sevenths and the y-intercept as (0, –12). Therefore, replacing these values in the general slope-intercept equation will give you the specific equation of the line: y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12. This equation tells you that for each step you move to the right on the x-axis, you move two-sevenths steps up or down on the y-axis, beginning from the point where y is -12.
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exponential, because there is a relatively consistent multiplicative rate of change
exponential, because there is a relatively consistent additive rate of change
linear, because there is a relatively consistent multiplicative rate of change
linear, because there is a relatively consistent additive rate of change
Answers
Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.
Explanation:
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
A. exponential, because there is a relatively consistent multiplicative rate of change
7^4=2,401?
Answers
Answers
The (positive and negative) ratios of the factors of the coefficient of the x4 and the constant 4 are the potential rational roots of the function.
The answers are:
1, -1, 3, -3, 9, -9, 1/2, -1/2, 3/2, -3/2, 3/4, -3/4, 9/2, -9/2, 9/4, -9/4
Answer:
It's B.
Step-by-step explanation: