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Archy [21]
2 years ago
15

Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms a

re 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Which system of equations can be used to model this situation?
Mathematics
2 answers:
Marina86 [1]2 years ago
4 0

Answer:

The right answer for the question that is being asked and shown above is that: "D) h=18t+1.5t-16t^2; h=5+24t-16t^2." the system of equations can be used to model this situation is that D) h=18t+1.5t-16t^2

h=5+24t-16t^2

zhannawk [14.2K]2 years ago
3 0
The answer to the question above as to which system of equations can be used to model the situation of Graham and Hunter when a cable lifts Graham into the air at a speed of 1.5 ft/s and Hunter throws the ball from a position of 5 ft. above the ground with an initial velocity of 24 ft/s. the equation will be : H = 18t + 1.5t - 16t ^ 2
H = 5 + 24t - 16t ^ 2
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liberstina [14]

Answer:

The correct option is E. 8

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Step-by-step explanation:

Given:

Δ BAD ~ Δ CBD

AC = 20

DC = 4

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To Find:

h = ?

Solution:

Δ BAD ~ Δ CBD      ................Given

If two triangles are similar then their sides are in proportion.

\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\  

On substituting the given values we get

\dfrac{BD}{CD} =\dfrac{AD}{BD}

\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit

The value of h is 8 unit.

8 0
2 years ago
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Suppose that the exam scores for students in a large university course are normally distributed with an unknown mean and standar
HACTEHA [7]

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

df=n-1=42-1=41

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

6 0
2 years ago
In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
mrs_skeptik [129]

Answer:

50 Teachers

Step-by-step explanation:

To solve this problem, we first need to find the number of teachers <em>before </em>the new teachers were added. To do so, I created Model 1. On the bottom of the ratios, we have students. On the top, is teachers. The X is the number of teachers we are trying to find. Following the model, I multiplied 2,100 x 1 (2,100) and divided it by 14 to get 150 teachers. Then, I set up a similar model with the new student-teacher ratio (Model 2). From there, I multiplied 2,100 x 2 (4,200) and divided it by 21 to get 200 teachers. Now I have the original number of teachers and the new number of teachers. Subtract the new by the original to find the teachers added and you get the answer of 50 teachers added.

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2 years ago
The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven
Rus_ich [418]

r = continuous growth rate

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74.6×10⁹ = 54.5×10⁹×e^(2r)

e^(2r) = 74.6/54.5

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Hope this helps!

6 0
2 years ago
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Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

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Since, For the function g, the domain is R - {-3}

Thus,  If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0
2 years ago
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