PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS

find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5


PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONSfind How Far Away (ground Distance) From The Catapult

Answers

Answer 1

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

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

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.


Related Questions

What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3

Answers

Answer:

D. 264π units³

Step-by-step explanation:

1/3(πr²h)

1/3(π•6²•22)

1/3(π•36•22)

1/3(π•792)

264π

Michele correctly solved a quadratic equation using the quadratic formula as shown below.



Which could be the equation Michele solved?

A.

B.

C.

D.

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whats the answers it doesn’t show for me

Witch property is NOT true of all rhobuses​

Answers

Answer:

Hide Explanation. All sides of the rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal.

Determine the area of the figure. Note that each unit is one unit in length.

Answers

Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

In January I saved £10 then double the amount each month. How much would I save in April?​

Answers

Answer:

$80

Step-by-step explanation:

Jan >> Feb >> Mar >> Apr

       x2        x2       x2

$10 >> $20 >> $40 >> $80

10 POINTS
Which statement best describes the expression 2 + 3 ÷ y?

a. The sum of 2 and the quotient of 3 and y
b. The sum of 2 and the quotient of y and 3
c. The quotient of y and the sum of 2 and 3
d. The quotient of the sum of 2 and 3, and y

Answers

Answer:

a. The sum of 2 and the quotient of 3 and y

Step-by-step explanation:

The answer is
a. The sum of 2 and the quotient of 3 and y

please helpppppppppppppp

Answers

Answer=A

Area=Length ×Breath

Length=2cm

Breath=5cm +4cm=9cm

area = 2cm ×9cm=18cm square

What is the value of X equal?

Answers

Answer:

113º

Step-by-step explanation:

(x + 14) + (180 - 83) + x + 90 + x = 540

3x + 201 = 540

3x = 339

x = 113

x=113 (shjsjekskek)

Find the sum of the first four terms of the geometric series 2 + 1 +....

Answers

Answer:

15/4

Step-by-step explanation:

This is a geometric sequence with a common ratio of 1/2. Therefore, the sum of the first four terms of the geometric sequence is 2 + 1 + 1/2 + 1/4 = 15/4.

What does 7 x 1/3 equal to

Answers

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]

The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n

Answers

Answer:

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours

This means that [tex]\mu = 945, \sigma = 21[/tex].

What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

tessa burned 357 calories in 42 minutes on the elliptical. ashley only spent 0 minutes on the elliptical and burned 267 calories. who burned calories at a faster rate

Answers

Answer:

ashley

Step-by-step explanation:

because she didnt spend any time

6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation

Answers

Answer:

(3,3)

Step-by-step explanation:

Linear equations of lines are given in the form:

y = mx + b;

where m is the slope of the line, b is the y intercept and x, y are variables.

From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)[/tex]

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:

(5/3)x - 5 = 0

(5/3)x = 5

x = 3

Put x = 3 in equation 1:

y = -3 + 6 = 3

Therefore the two lines meet at (3, 3).

Which point is located at (2, -5)?

Answers

Answer:

J

Step-by-step explanation:

Go to the right 2 units from the origin (0,0) and then down 5 units

The point at that location is J

In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC​

Answers

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

What is a parallelogram?

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

to get more about parallelograms visit:

https://brainly.com/question/12167853

PLEASE HELP!!! CALCULUS ASSIGNMENT

Answers

Answer:

(d)  [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]

Step 2: Differentiate

Basic Power Rule:                                                                                            [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.

[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

multiply 4 × 3.

[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

Multiply 3 × -5

[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]

subtract the exponents

y = 12x³ - 15x² + 2⁰

For any term t except 0, t⁰ = 1.

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.

Answer this please Help

Answers

Answer:

x=10.75 in

Step-by-step explanation:

A = 390 = x(3x+4)

3x²+4x-390 =0

ax²+bx+c=0

x= (-b±√b²-4ac)/2a

x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3

We will consider only the x that gives us a positive answer because the dimensions cannot be negative.

x= (-2+√1174)/3 = 10.75456113≈ 10.75

The answer is:

X=10.75

In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:

Answers

Answer:

(4.5, 0.3125)

Step-by-step explanation:

given that

The mean is 4.5 inches

the standard deviation is 1.25 inches

and, the sample of 16 rabbits is selected

we need to find out the approximate distribution

so,

= (4.5, 1.25 ÷√16)

= (4.5, 0.3125)

hence, the same is to be considered

(5,-10) and (15,-20). find the equation of this line.

Answers

Answer:

y = -x-5

Step-by-step explanation:

slope of the line is =(-20+10) / (15-5) = -10/10 = -1

Now equation of line is y+10=(-1)(x-5)

i.e. y+10= -x +5

i.e y = -x-5

Answer:

y = -x - 5.

Step-by-step explanation:

The slope of the line is (-20-(-10) /(15-5)

= -10/10 = -1.

Now use the point slope form of a straight line:

y - y1 = m(x - x1)   where m = the slope and (x1, y1) is a point on the line.

So we have:

y - (-10) = -1(x - 5)

y + 10 = -x + 5

y = -x + 5 - 10

y = -x - 5.

The area of a parallelogram is 120 cm ^ 2 and the height is 30 cm . Find the corresponding base

Answers

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

Pete can type 80 words in the same time that Ralph can type 50 words. If they type at those rates
for an extended period of time, when Ralph has typed 4000 words, how many words has Pete
typed?

Answers

Answer:

After the extended period of time, Pete would have typed 6400  words.

Step-by-step explanation:

Given the data in the question;

In the same time;

number typed word of Pete = 80

type word of Ralph = 50

After a period time;

number of typed word of Pete = ?

number of typed word of Ralph = 4000

so, let x represent the number of typed word by Pete after an extended period.

so

80 words = 50 words

x words =    4000 words

we cross multiply

x × 50 = 4000 × 80

x = ( 4000 × 80 ) / 50

x = 320000 / 80

x = 6400

Therefore, After the extended period of time, Pete would have typed 6400  words.

The sales tax rate is 10%. If Kamal buys a gold ring priced at $391, how much tax will he
pay?
Round your answer to the nearest dollar: $

Answers

391 x .10 = $39.10 which rounds to $39

Answer: $39

Step-by-step explanation: Actual answer is $39.1 but I rounded down

0.199999 a fraccion porfavor

Answers

Answer:

199999/1000000

Step-by-step explanation:

27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071

Answers

fax bro no cap sheeshhhhh 5x-

I need help on this question

Answers

Answer:

A

Step-by-step explanation:

At a concession​ stand, seven hot dog(s) and four hamburger(s) cost ​$15.00​; four hot dog(s) and seven hamburger(s) cost ​$18.00. Find the cost of one hot dog and the cost of one hamburger.

Answers

Answer:

hotdog $1, and hamburger $2

Step-by-step explanation:

D-is hot dogs, H-hamburgers

7D +4H = 15

4D +7H = 18

we got 2 equations with 2 unknown so we can solve

7D +4H = 15 multiply by 7

4D +7H = 18 multiply by -4

49D +28H = 105

-16D -28H = -72     add the two equations

33D= 33 so D=$1

go back to the first equation:

7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2

Can someone explain why the ans is X=6? Its (x-6)

Answers

Answer:

because either x-6=0 or x+1=0

x-6=0

x=0+6

x=6     OR,

x+1=0

x=0-1

x=-1

Step-by-step explanation:

Is this correct. Please let me know thank you

Answers

Answer:

Yes it is correct, the amount of flour is 1.5 times larger than eggs needed

Step-by-step explanation:

What are the equation and slope of the line shown on the grid ?

F y = 6; slope is zero
G x = 6; slope is zero
H y = 6; slope is 6
J x = 6; slope is undefined

Answers

Answer:

The answer is J x= 6; slope is undefined

Step-by-step explanation:

iTS undefined because it's a line

The answer is J

The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.

50 PTS AND BRAINLIEST FOR CORRECT ANSWER

Answers

Answer: I asked my teacher, she said it is c

Step-by-step explanation:

Answer:

yes it's c

have a great day

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