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valentina_108 [34]
2 years ago
5

At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground

launches an arrow toward the target. The system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. Which statement most likely describes the situation modeled by this system? mc016-1.jpg
Mathematics
1 answer:
adell [148]2 years ago
5 0
From the kinematic equations, s(t) = s_in + (v_in)(t) - (1/2)(g)(t^2). This means that there is an initial distance of 4, initial velocity and acceleration (in opposite direction of the motion) f 32. Option 4 shows the correct answer.
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Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on b
Effectus [21]

Answer:

The solutions for 3 questions are explained one after the other below.

Step-by-step explanation:

1).Let x be the number of paperback books that she buys,  y be the number of hardback books that she buys.

for the first condition, i.e, she has decided to spend at most $150.00 on books,the required inequality will be :

8x+12y\leq 150

for the second condition , i.e, she wants to purchase at least 12 books,

the required inequality will be:

x+y\geq 12

2). the graph is in the attachment..

3). x,y are the two required solutions. where,

x =number of paperback books she buys.

y=number of hardback books she buys.

4 0
2 years ago
Read 2 more answers
Consider the initial value problem y′+4y=48t,y(0)=9. y′+4y=48t,y(0)=9. Take the Laplace transform of both sides of the given dif
Nadusha1986 [10]

Answer:

sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

Step-by-step explanation:

given is the Differential equation in I order linear as

y′+4y=48t,y(0)=9.

Take Laplace on both sides

L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}

Now if we take inverse we get y(t) the solution

Thus the algebraic equation would besY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

8 0
2 years ago
Jeff brought a bottle of water for $2.He also brought some hot dogs for $3 each.Jeff did not spend more than $14 on the hot dog
Gala2k [10]
The answer would be D because 3h + 2 (water) has to be less than or equal to > 14
8 0
2 years ago
Read 2 more answers
Which shows two triangles that are congruent by ASA
Ksenya-84 [330]
The four options are attached below

<u><em>Answer:</em></u>
Second attachment is the correct choice

<u><em>Explanation:</em></u>
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>Now, let's check the choices:</u>
<u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect

<u>Second attachment:</u>
It shows that two angles and the included side  between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct

<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect

<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.

Based on the above, the second attachment is the only correct one

Hope this helps :)

7 0
2 years ago
Read 2 more answers
The scale for the drawing of a rectangular playing field is 2 inches= 5 feet. Write an equation you can use to find the dimensio
iris [78.8K]

Answer:

Step-by-step explanation:

Given:

Scale

2 inches : 5 feet

Actual dimensions

Let x be the dimension of the scale drawing (in inches) and y, the corresponding dimension of the actual field (in feet).

Scaled dimension = scale × actual dimension

Actual dimension, x = y × 5 ft/2 in

2 × x = 5 × y

Equation:

2x = 5y

3 0
2 years ago
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