15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.

Her height h in feet can be modeled by the equation h = -161? + 22.31 + 2,

where t is time in seconds. Use the discriminant to determine if the jaguarundi

will reach the bird if the bird is flying at a height of 10 feet. Explain.

Answers

Answer 1

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

Answer 2

Answer:

No, the Jaguarundi will not reach the bird

Step-by-step explanation:

The equation is

[tex]h=-16t^2+22.3t+2[/tex]

When h = 10 feet

[tex]10=-16t^2+22.3t+2[/tex]

[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]

[tex]a=-16[/tex]

[tex]b=22.3[/tex]

[tex]c=-8[/tex]

Discriminant is given by

[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]

[tex]\Rightarrow b^2-4ac=-14.71[/tex]

[tex]\Rightarrow b^2-4ac<0[/tex]

So, the Jaguanrundi will not reach the bird as the roots will be imaginary.


Related Questions


Does anyone know this

Answers

Answer:

I belive the answer is A

Step-by-step explanation:

So any answer with 22t would make sense, so you have A and C. In C though, it is subtracting 22, but since 6195 is the total it would have to include the 22 so it is A.

Can someone please help me with math.

Answers

the mapping doesn’t represent a function
and i think that’s a vertical angle?

A pump fills a pool at a constant rate. At the end of 1 minute it has filled 6 gallons of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool?​

Answers

Answer:

I would need to see the different tables to answer this question.

What is the median amount of water (in ounces) that Mindy drank per day

Answers

Answer:

i need the rest of the problem to figure it out sorry

Step-by-step explanation:

Answer:

60 ounces

Step-by-step explanation:

got i t on edmentum

What inequality does this number line show?
I need this question in 11 hours QwQ ​

Answers

Answer:

X>8

Step-by-step explanation:

Open circle, going towards larger numbers, meaning it is greater than eight but not equal to.

Independent Practice


Which property justifies the step shown in solving this equation? − y−5=11
−y−5+5=11+5


A.
Multiplication Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality


D.
Division Property of Equality

Answers

Answer:

B. Addition Property of Equality

Step-by-step explanation:

B addition property of equality

Sequence: 13.9.5.1.-3. ...
5) is this Arithmetic, Geometric, or Neither?
6) Write and Equation for the Sequence.
7) What is the 15th Term in the Sequence?

Answers

5.) this sequence above I arithmetic since it is being subtracted by a constant which is 4.
6.) the equation could be a(n)=13+(n-1)-4
7.) the 15th term of this sequence is -43

Is it possible to draw a quadrilateral that is not a rectangle, but has at least one right angle.Explain

Answers

Answer:

Yes

Step-by-step explanation:

A trapezoid with two right angles is a quadrilateral with two right angles.  

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7
y = 9/2x-12
y = 2/9x + 8
-2y = 9x + 8
9y = 2x -18

Answers

Answer: y = 2/9x + 8 and -2y = 9x + 8

Step-by-step explanation: Hope this help :D

Parallel lines have the same slope so y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7 so option (B) and (D) will be correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

The equation of a linear line is given by

y = mx  + x where m is slope

So,

y = 2/9x - 7 have slope as 2/9

Now since parallel lines have the slope same so all lines whose slope matches with 2/9 will be parallel to this.

So,

y = 2/9x + 8 has slope of 2/9

9y = 2x -18 ⇒ y = 2/9 x - 2 has slope of 2/9

Hence "y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7"

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ6

Tell which value of the variable is the solution of the equation 30 = 6w W = 3, 5, 6, 8??

Answers

Answer: w=5

Step-by-step explanation: Hope this help

Write a question that matches this equation:


45-n=15

Answers

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

Does anyone know the answer so this question

Answers

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown. Write an equation that represents the situation. ( i will give you brainly)

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

My guess: 231 = 46 + b

Step-by-step explanation: Because they didn't mention how many were colored brown, we would use a variable to represent them, in this case I use b. But we do know 46 of them were white. so the equation would simply be 231 = 46 + b. After you add 46 and b you will get the total to 231. You can find b from subtracting 231 to 46. Then add b to 46 and get the total of 231

i’ll give brainliest (worth 15 pts)

Answers

Answer:

48

Step-by-step explanation:

( it might be wrong pls dont report me just let me kno y its wrong )

Which graph shows a function where f(2)=4?

Answers

Answer:

A

Step-by-step explanation:

Answer:

the one that is a horizontal straight line on x axis that lies on 2

Which table represents a linear equation

Answers

The first one is correct I believe

pls help question is on picture

Answers

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

CAN SOMEONE HELP ME PLEASE

Answers

Answer: 9 x 6 x 6

Step-by-step explanation: 9 x 6=54  54 x 6 = 324 ft

Graph the line with slope 3 and intercept 1 X​

Answers

Plot a point at (0,-1)
Then from that point, go down 3 points, and to the right one point. Repeat that until you hit the bottom of the graph or run out of room. From the first point (0,-1), go up 3 and to the left 1 until you run out of room on the graph. Should be a straight line

The green area of the figure above is grass.
The blue is a sidewalk. What is the area of the
sidewalk? Help ASAP

Answers

Answer:

80

Step-by-step explanation:

the answer is 80 because 8×10=80

Answer:

116

Step-by-step explanation:

Area of whole thing is 196 and area of grass is 80 so you do 196-80 to get 116.

PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

Answers

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer:

2197:729

hope it helps

please mark brainliest

Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Answers

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

Explain why this is wrong:
(Student's Solution): "Factor the polynomial"
y^2-6y+9=y^2-2(y)(3)+3^2 = (y-3)(y+3)
Note: Please help, I have been working on this for like 4 days im so tired.

Answers

Answer:

See below.

Step-by-step explanation:

y^2 - 6y + 9 can be changed correctly into y^2 - 2(y)(3) + 3^2.

Up to here, it's correct.

The right side above shows a polynomial that is the square of a binomial.

It factors into (y - 3)^2.

The correct factorization is (y - 3)^2.

The incorrect factorization of the student's solution is the product of a sum and difference.

The product of a sum and a difference is the correct factorization for a difference of squares.

For example, y^2 - 9 is the same as y^2 - 3^2 and is a difference of squares.

It factors into (y + 3)(y - 3), a product of a sum and a difference.

If You Have NO EXPLANATION Don't ANSWER

Answers

Answer:

B. A = 1/2(7)h

Step-by-step explanation:

Formula for area of triangle = 1/2 x base x height

H is the height of the triangle.

7cm is identified as the base of the triangle.

1/2(7)h is also the same thing as 1/2 x 7 x h basically.

Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = h , then

A = [tex]\frac{1}{2}[/tex] (7) h → B

not sure how to do this. need help

Answers

Answer:

a) 25/2 or 12.5

b) 78,125

c) 625

d) 30,517,578,125

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

-6x + 12 , can somebody explain this ?

Answers

Step-by-step explanation:

Factor −6 out of −6x

-6(x)+12

Factor −6 out of 12.

−6(x)−6(−2)

Factor −6 out of −6 (x)−6(−2).

-6(x-2)

how do I write an equation for a quadratic function represented by a table ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.

hope this helps,have a great day!!

~Pinky~

YALL PLEASE HELP, need to turn this in ASAP

Answers

Answer:

I believe the answer is 1,800 :)

Step-by-step explanation:

1,500x0.20=300+1,500=1,800

Hope this helped!

Decide whether the given expression is a polynomial and tell why or why not.





5. 3x2 – 5x + 2

Answers

Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

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