Mathematics High School

find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

Answers

Answer 1

Answer: [tex]4\sqrt{3}[/tex] .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

[tex]D=\sqrt{(d-b)^2+(b-a)^2}[/tex]

Distance between points [tex](-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})[/tex].

[tex]D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}[/tex]

Hence, the correct option is [tex]4\sqrt{3}[/tex] .

Related Questions

Find the product.
(2xyz) (-4x2yz)

PLEASE HELP!!! ASAP!!!

Answers

Answer:

[tex]-16x^{2} y^{2}z^{2}[/tex]

Step-by-step explanation:

Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get [tex]-16x^{2} y^{2}z^{2}[/tex].

Answer:

Your correct answer is = −16y2z2

Factor 2x2+5x+2 please

Answers

Answer:

Step 1: 4

Step 2: 4 and 1

Step 3: 2x² + 4x + x + 2

Step 4: (2x² + 4x) + (x + 2)

Step 5: 2x(x + 2) + 1(x + 2)

Step 6: (x + 2)(2x + 1)

Step-by-step explanation:

Calculate the area of the regular hexagon ABCDEF.
A. 150 u^2
B. 259.8 u^2
C. 300 u^2
D. 519 u^2

Answers

Answer:

B. 259.8 u²

Step-by-step Explanation:

The area of a regular hexagon is given as:

[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]

[tex] Area = \frac{3\sqrt{3} }{2}* 10^{2} [/tex]

[tex] = \frac{3\sqrt{3} }{2}* 100 [/tex]

[tex] = \frac{3*1.7321 }{2}* 100 [/tex]

[tex] = \frac{5.1963 }{2}* 100 [/tex]

[tex] = \frac{519.63 }{2} [/tex]

[tex] Area = 259.815 [/tex]

The area of the regular hexagon ≈ 259.8 u²

The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and the corresponding surface area and volume. This cylindrical perfume bottle needs to be boxed in a prism for sale on store shelves. The Goodsmell perfume producing company would like a box with the smallest possible surface area which will hold your design for the perfume bottle. Report the dimensions of the box and the corresponding area and volume. The pretty perfume company, Goodsmell’s competition, has also designed a new perfume bottle. The bottle is to be a spherical shape with a diameter of 7cm. Determine the volume and surface area of this bottle. The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle. Determine the dimensions of the smallest possible box which could be used to package Pretty Perfume’s new bottle with its spherical bottle and conical-shaped lid. However, this box is not shaped like a rectangular prism. Pretty Perfume would like to have unique packaging and have chosen to have a box shaped like a pyramid. Calculate the volume and surface area of this pyramid shaped box. The Final Product: Prepare a written report that includes: A clear and concise explanation of the process that you used to solve the problem. The calculations that you made, presented in an organized fashion. A rationale (reason) for your selection of values.

Answers

Answer:

1. r = 2.82 cm

h = 5.6 cm

The maximum volume possible to the nearest 10 mL = 140 mL

2. Size side of square base of box is 5.64 cm

Height of box = 5.6 cm

The surface area of the box is 189.96 cm²

The volume of the box is 178.13 cm³

3. The procedure for solving the problem was through noting that the shape of the cross-section of the pyramid is an isosceles triangle ans also that smallest possible box for the pretty perfume is one which fits the angle of inclination of the lid. This was found out by initially using the combined height of the perfume and the lid (placed to fit the spherical outline of the bottle) to calculate the dimensions of the pyramid, from which it was observed that the angle of inclination of the lid is larger than that of the calculated dimension, such that the lid outline would be visible and could eventually tear the perfume box

With the inclination angle, β, which is the base angle of the isosceles triangle, the angle at the top of the pyramid cross-section is calculated and the following relations are used to calculate the triangular cross-section of the pyramid

h = a·cos(α/2)

b = 2·a·cos(β)

[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]

[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]

With the calculated dimensions, a, b, and h the area, A, of the square pyramid is calculated as 2×b×a + b² and the volume, V, as 1/3×b²×h

The attached diagram shows the the cross-section of the perfume in the pyramid box.

Step-by-step explanation:

1. The surface area of the cylinder = 2πr² + 2πrh = 150 cm².........(1)

The volume of the cylinder, V = πr²h = 100 mL = 100 cm³..............(2)

From equation (2), h = 100/(π·r²)

Substituting the value if h in equation (1), we have;

2πr² + 2πr100/(π·r²) = 150

2πr² + 200/r = 150

(2πr³ + 200)/r = 150

2πr³ + 200 = 150×r

2πr³ -150·r+ 200 = 0

150 = 2πr² + 2πrh

h = (150 - 2πr²)/(2πr)

h = (75- πr²)/(πr)

Substituting the value of h in the equation for the volume, we have;

V = πr²h = πr²(75- πr²)/(πr)

V = 75·r - π·r³

At maximum volume, dV/dr = 0, we have

d(75·r - π·r³)/dr = 75 - 3·π·r²= 0

3·π·r²= 75

π·r² = 25

r = 5√π/π

h = (75- πr²)/(πr) = (75- π(5√π/π)²)/(π(5√π/π)) = (75 -25)/(5·√π)

h = 50/(5·√π)= 10·√π/π

The maximum volume = πr²h = π×25/π×10·√π/π = 250·√π/π = 141.05 cm³

The maximum volume possible = 141.05 cm³ = 141.05 mL

The maximum volume possible to the nearest 10 mL = 140 mL

The dimensions of the bottle are;

r = 2.82 cm

h = 5.6 cm

The surface area of the bottle = 2π(2.82)² + 2π×2.82 ×5.6 = 149.2 cm

Given that the cylindrical bottle has r = 2.82 cm and h = 5.6 cm, we have;

Size side of square base of box = 2 × 2.82 = 5.64 cm

Height of box = 5.6 cm

The surface area of the box = 2 × Area of base + 4 × Area of side

The surface area of the box = 2 *5.64^2 + 4 * 5.6 * 5.64 = 189.96 cm²

The volume of the box = Area of base × Height = 5.64^2*5.6 = 178.13 cm³

3. Diameter of spherical bottle = 7 cm = 2×r

Volume of the sphere bottle = 4/3πr³ = 4/3*3.5^3*π = 343/6·π = 179.6 cm³

The surface area of the sphere bottle = 4πr² = 4*(7/2)^2*π = 49·π = 156.94 cm²

3 i. The volume of a cone = 1/3πr²h = 1/3*(5/2)^2*4.5 = 9.385·π = 29.45 cm³

The surface area of a cone = πrS

S = √(4.5^2 + (5/2)^2) = 5.15

The surface area of a cone = π*2.5*5.15 = 40.43 cm²

3 ii. The depth of fitness of the lid on the bottle = 7/2 - √(7/2)^2 - 2.5^2) = 1.05

The total height of the spherical bottle with the conical lid = 7 + 4.5 - 1.05 = 10.45 cm

3 iii. Given that the box is shaped like a pyramid we have;

Width of the box at middle of the height of the spherical bottle = 7 cm

Height of the box = 10.45 cm

[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]

[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]

With the aid of a graphing calculator, the width of the square pyramid is found to be 12.12 cm

The volume = 1/3*12.12^2*10.45 = 511.68 cm²

The surface area = 2*12.12*√(12.12/2)^2 + 10.45^2) +12.12²= 439.7 cm²

The angle of inclination of the lid = tan⁻¹ (4.5/2.5) = 60.95°

The angle of inclination of the calculated box is tan⁻¹ (10.45/6.06) = 59.88

Since the lid is steeper, we make use of the angle of the lid

The base angles are thus = 60.95°

The angle at the top is thus 180 - 60.95*2 = 58.11°

Therefore, by the formula, we find that

a = 12.25 cm

b = 11.897 cm

h = a·cos(α/2)

h = 10.707 cm

The volume = 1/3*11.897^2*10.707 = 505.15 cm³

The surface area = 2*11.897*√(11.897/2)^2 + 10.707^2) +11.897²= 432.98 cm²

The angle at the top of the box = 2

Given that:

r = 2.82 cmh = 5.6 cm

Then the maximum volume possible to the nearest 10 mL =

140 mL

Given that:

The size side of square base of box is 5.64 cmHeight of box = 5.6 cm

Hence, the surface area of the box is

189.96 cm²

The volume of the box is :

178.13 cm³

What is Surface Area?

This refers to the measure of the total area of an object.

The written report:

The procedural method used to solve the problem was to identify the shape of the pyramid, then finding out the smallest possible box for the pretty perfume and then using the calculated dimensions, found the answers.

Read more about surface area here:
https://brainly.com/question/76387

which number is not a perfect square 1) 3 25 81 100 121 2) 4 12 9 144 36 3) 1 16 27 49 64

Answers

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3 2. 12 3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

Multiply using distributive property.

(2m-5)(3m+8)

PLEASE HELP!!! ASAP!!!

Answers

Answer: 6m^2 +m -40

Step-by-step explanation: Distributing binomials calls for the FOIL method.

Multiply the First times the First: 3m×2m= 6m^2. (^2 means squared when we can't use superscript for exponents.)

Then multiply and combine the Outside and Inside terms: 2m ×8=16m. and -5 ×3m= -15m

16m - 15m = m

Then multiply the Last terms: -5×8= -40

You end up with

6m^2 + m -40

Answer:

6m^2 + m - 40.

Step-by-step explanation:

(2m - 5)(3m + 8)

= (2m * 3m) + (-5 * 3m) + (2m * 8) + (-5 * 8)

= 6m^2 - 15m + 16m - 40

= 6m^2 + m - 40.

Hope this helps!

PLEASE PLEASE HELP IM BEING TIMED The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent. 18% 22% 35% 82%

Answers

Answer: 82%

Step-by-step explanation:

- - - - - - - - college - - not college - - - - total

Travel - - - - 43 - - - - - - - 10 - - - - - - - - 53

Not travel - 24 - - - - - - - 5 - - - - - - - - - 29

Total - - - - 67 - - - - - - - 15 - - - - - - - - - 82

Marginal relative frequency of students who plan to attend college:

(Number of students who plan to attend the college / Total number of the students)

Number of students who plan to attend college = 67

total number of students = 82

Marginal relative frequency = 67/82

= 0.8170731

= (0.8170731) * 100%

= 81.7% = 82%

Answer:

a: 14/50

b: 15/50

c: 21/50

Step-by-step explanation:

on edge

Six different books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right. How many possible arrangement are there?

Answers

Answer:

720 ways

Step-by-step explanation:

At first their are six books, that means that there are six different positions to put them. The first book to be placed would have 6 position, when the first book is placed, to place the second book there would be 5 position since one position has been used by the first book. After placing the second book, to place the third book there would 4 available position, and it follows this manner i.e for the fourth book 3 available position, for the fifth book 2 available position and for the sixth book, one available position.

Therefore the number of ways to arrange the books on the shelf from left to right = 6 × 5 × 4 × 3 × 2 × 1 = 6! = 720 ways

In the figure, OM is perpendicular to AB. Prove that M is the the midpoint of AB.

Answers

we know by looking at the picture that m is the midpoint of AB since O to M doted lines had half into two equal parts.so M is in the midpoints of AB.

Step-by-step explanation:

to prove: M is the midpoint of AB

given: OM is perpendicular to AB

construction: joint AO and BO

proof: in the given fig,

OA and OB are joined

In Δ AOM and ΔBOM

AO = BO ( two sides of Δ AOB )

OM = OM ( common )

∴ Δ AOM ≅ Δ BOM ( by SAS rule )

∴ AM = BM ( by CPCT ) -------- 1

∴ M is the midpoint of AB ( from 1 )

⇒hence proved

HOPE THIS HELPED and PLEASE MAKE ME AS THE BRAINLIEST

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2. What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2

Answers

Answer: Step 1

Find the scale factor

we know that

If the two cylinders are similar

then

The ratio between the circumference of the larger cylinder to the circumference of the smaller cylinder is equal to the scale factor

Step 2

Find the lateral area of the smaller cylinder

we know that

If the two cylinders are similar

then

The ratio between the lateral area of the larger cylinder to the lateral area of the smaller cylinder is equal to the scale factor squared

Let

x--------> the lateral area of the larger cylinder

y-------> the lateral area of the smaller cylinder

z--------> the scale factor

In this problem we have

substitute in the formula and solve for y

therefore

the answer is

33.6π mm2

The correct option is Option D: the lateral area of the smaller cylinder is 84π mm².

What is the lateral area of the cylinder?

The lateral area of the cylinder is the area of the curved surface which can be calculated by the formula given below

lateral area of the cylinder= 2πrl

where r is the radius of the cylinder and l is the length of the cylinder.

Here given that the two cylinders are similar.

The larger cylinder has base of circumference = 60π mm

As we know the circumference of base of cylinder= 2πR

⇒60π= 2πr

⇒2πR= 60π

Given the lateral area of the larger cylinder is 210π mm²

From above formula, it is clear that the lateral area of the cylinder= 2πrl

⇒ 210π = 2πrl

⇒2πRl= 210π

⇒60πl= 210π (as from above it is derived that 2πr= 60π)

⇒l= 210π/ 60π= 7/2

⇒l= 3.5 mm

the smaller cylinder has base of circumference = 24π mm

⇒ 2πr= 24π mm

then the lateral area of the smaller cylinder is= 2πrl= 24π*3.5= 84π mm²

Therefore the correct option is Option D: the lateral area of the smaller cylinder is 84π mm².

Learn more about the lateral area of the cylinder

here: https://brainly.com/question/2292413

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what does 9! mean in math?

Answers

Answer:

9! means 9 factorial

Step-by-step explanation:

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

What is the value of x?
A. 60°
B. 155
C. 25°
D. 35°

Answers

Answer:

D. 35°

Step-by-step explanation:

1. The bottom right angle and 95° add up to 180°. Solve for that angle.

95 + y = 180

y = 85

2. Triangles have a total of 180°. Set up the equation.

60 + 85 + x = 180°

3. Simplify

145 + x = 180

4. Solve for x by subtracting 145 from both sides

x = 35°

Answer:

x = 35

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

60+x = 95

Subtract 60 from each side

60 +x-60 = 95-60

x = 35

Find volume of cylinder if its
radius
height
5.5m and
height 9 m?

Answers

Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find (u/v) + (v/u)

Answers

Answer:

=-0.809

Step-by-step explanation:

3x^2+5x+7=0 complete the square

3x^2+5x=-7 divide both sides by 3

x^2+5/3 x = -7/3 to complete the square add term(b/2)^2=((5/3)/2)²=25/36

X^+5/3 x+25/36=-7/3 +25/36 factorize

(x+5/6)²= -59/36

x+5/6= + or - √59/36

solution for x= -5/6-√59/6i (u) OR -5/6+√59/6i (v)

u/v + v/u=(-5/6-√59/6i)/(-5/6+√59/6i) +(-5/6+√59/6i)/(-5/6-√59/6i)=-17/21

=-0.809

Answer:

[tex]\large \boxed{\sf \ \ \ -\dfrac{17}{21}=-0.80952... \ \ \ }[/tex]

Step-by-step explanation:

Hello,

First of all we can verify that 0 is not a solution of the equation so that we can divide by u or v

[tex]\dfrac{v}{u}+\dfrac{u}{v}=\dfrac{u^2+v^2}{uv}=\dfrac{(u+v)^2-2uv}{uv}=\dfrac{(u+v)^2}{uv}-2[/tex]

And we know that

[tex]u+v=-\dfrac{5}{3}\\\\uv=\dfrac{7}{3}\\\\\\as \ \ (x-u)(x-v)=x^2-(u+v)x+uv[/tex]

So it comes

[tex]\dfrac{v}{u}+\dfrac{u}{v}=\dfrac{5^2*3}{7*3^2}-2=\dfrac{25-42}{21}=-\dfrac{17}{21}=-0.80952...[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution

Answers

Answer:

One

Step-by-step explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

[tex]3x-5 = -x+4\\\\3x+x = 5+4\\\\4x = 9\\\\x=\dfrac{9}{4}[/tex]

Put the value of x in equation (1) we get :

[tex]y = 3x-5\\\\y = 3\times \dfrac{9}{4}-5\\\\y=\dfrac{7}{4}[/tex]

It means that the value of x is [tex]\dfrac{9}{4}[/tex] and the value of y is [tex]\dfrac{7}{4}[/tex]. Hence, the given equations has only one solution.

Answer:

Step-by-step explanation:

What are the coordinates of the image of vertex D after
a reflection across the x-axis?
(5.3)
O (-5.–3)
O (-3.5)
(3-5)

Answers

Answer: A 5,3

Step-by-step explanation:

I just took the test

The coordinates of the image of vertex D after a reflection across the x-axis is (5.3).

The correct option is (A).

what is reflection over x- axis?

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

For example,

when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4). Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

The given coordinates of D is (5, -3).

Now, to get the reflection over x- axis we have negate the value of y- coordinate and no changes in x- coordinate.

Hence, the coordinate of vertex D is (5, 3).

Learn more about reflection here:

https://brainly.com/question/3480959

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Solve the equation by completing the square.

3x^2-12x=96

Answers

Answer:

x = 8

x = -4

Step-by-step explanation:

3x² - 12x = 96

Divide both sides by 3

x² - 4x = 32

Add 4 to both sides

x² - 4x + 4 = 32 + 4

(x - 2)² = 6²

Find the square root of both sides

√(x - 2)² = √6²

x - 2 = +/- 6

x - 2 = +6 or -6

x - 2=+6

x=6+2

x=8

x - 2=-6

x=-6+2

x=-4

x = 8

x = -4

A game is played using one die. if the die is rolled and shows 6, the player wins $20. if the die shows any number other than 6, the player wins nothing.
a. if there is a charge of $4 to play the game, what is the game's expected value?
$______(round to the nearest cent)
b. choose the statment below that best describes what this value means.
Choose one!
a. over the long run, the player can expect to lose about this amount for each game played
b. over the long run, the player can expect to win about this amount for each game playedc. over the long run, the player can expect to break even.

Answers

A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?

--------------------

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

---------------------------------

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure onto the other using transformations

Answers

Answer:

The answer is below

Step-by-step explanation:

A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.

An object is congruent to another object if the object can be mapped to the other object when transformed.

Answer:

The answer is c

Step-by-step explanation:

It is the correct solution because you are able to map circle m onto m

Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

PLEASE HELP ME!!!

Answers

Answer: 247 square cm

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

What is the 4th tearm to this?
b(n)=4−6(n−1)

Answers

Answer:

If you wish to find any term (also known as the {n^{th}}n

term) in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself.

Step-by-step explanation:

A drone is monitoring the atmospheric conditions above a farm field. The drone hovers 5 meters above the crop line. Suddenly, it rises to approximately 5.9 meters (which takes 1.9 seconds) to avoid colliding with the sprinkler system. Based on this information, which equations could model the height, y, of the drone as a function of time, x?

Answers

Answer:

The correct options are;

g(x) = -0.27·x² + x + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5