Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutes
after takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes

it's was helpful to you dear ❤️❤️❤️

Answer:

Plot (0.5, 1.5) on the graph.

Which point is a solution to the inequality? (3, 1/2)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157\)

Formula of variance : \(\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}\)

\(\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}\)

\(\sigma^2=\frac{7610}{11}\)

\(\sigma^2=691.81\)

Hence the variance rounded to the nearest tenth is 691.8

Answer: ⅝-⅔ = -1 are purple grapes

each friend will get-0.1 purple grapes its quite easy you know

Answer:

Step-by-step explanation:

Answer:

\(3x^2\)

Step-by-step explanation:

\(12x^4-6x^2+9x^2\)

Let's break down these terms into three parts; our number, our base (variable), and our power (exponent).

First, let's think of a number that could be factored out of the numbers 12, 6, and 9. If you're thinking of the number 3, you'd be correct.

Second, look at the bases. We can see that the variables in these terms are all \(x\), so we can combine that with our number 3.

Third, look at the powers. We can see that the exponent of 2 can be factored out, so let's combine that with our 3x:

\(3x^2\)

To put that in perspective:

\(3x^2(4x^2-2+3)\)

_

To check your work, you can distribute the greatest common factor into the parentheses:

\(3x^2(4x^2-2+3)\)

\(12x^4-6x^2+9x^2\)

Simplified would be 4xy + 3x^2 + 6x

Answer:

4xy+3x²+6x

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

A. 3(7-3) < 6 + 21

Step-by-step explanation:

A. 3(7-3) < 6 + 21

21-9 < 27

12 < 27

True

B. ??

C. 3(7-3) = 6 + 21

21 - 9 = 27

12 = 27

False

D. 3(7-3) < 6 + 21

21-9 > 27

12 > 27

False

Therefore, the correct answer is A

Hope this helps!

the height of the tower gives a ratio of 159/155. Taking the inverse tangent of this ratio gives the angle of elevation of the sun, 56.7°.

Let x represent the sun's elevation angle.Then, tan(x) = 159/155.

x = tan-1(159/155) = 56.7°

The angle of elevation of the sun can be calculated using the tangent ratio. The tangent ratio states that the opposite side divided by the adjacent side of a triangle is equal to the tangent of the angle. In this case, the opposite side of the triangle is the length of the shadow, 159 feet, and the adjacent side is the height of the tower, 155 feet. Dividing the length of the shadow by the height of the tower gives a ratio of 159/155. Taking the inverse tangent of this ratio gives the angle of elevation of the sun, 56.7°.

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Using the properties of arithmetic sequence , we calculate

a) 100 seats in the first row (b) 40 rows are required (c) 22 more seats in each row (d) 958 seats in the last row.

The overlap of any two doubly infinite arithmetic progressions seems to be either empty or another arithmetic progression, according to the Chinese remainder theorem.

If every pair of advancements in a family of twice infinite arithmetic progressions has a non-empty intersection, then there is a number that connects all of the pairs; consequently, an infinite arithmetic progression is a member of the Helly family.

However, rather than being an unending progression in and of itself, the intersection of an infinite number of infinite arithmetic progressions might be a particular number.

We know that the AP has the total number of seats between 18 000 and 22 500.

So if we take first term as 100 common difference as 22 and 40 rows we get :

sum =  \(\frac{40}{2} [2\times 100+(40-1)22] = 21160\)

Therefore the number of seats in the arena matches the required description.

and the last row will have 100+(39)22 = 968 seats.

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Answer:

\(a_{n}=2+3(n-1)\)

Step-by-step explanation:

Step 1. To find the equation that describes the pattern, we use the arithmetic sequence formula:

\(a_{n}=a_{1}+d(n-1)\)

Where a_n is the n'th terms and d is the common ratio between the numbers.

Step 2. The sequence we have is:

2 5 8 11

The first term is:

\(a_{1}=2\)

And the common ratio or the difference between consecutive numbers is:

3 2+3=8 5+3=8  8+3=11

This will be the value of d:

d=3

Step 3. Substituting a_1 and d into the formula:

\(a_{n} =a_{1}+d(n-1)\\a_{n}=2+3(n-1)\)

This is the equation that represents the number pattern, it represents that we add three each time to the previous number in the sequence.

Hence, the correct answer is \(a_{n}=2+3(n-1)\)



Mei Mei utilized wrapping paper that was 337.212 square inches in size.

The formula V = 1/3AH, where H is the height of the pyramid or the distance from its base to its apex, may be used to calculate the volume of a triangular pyramid.

To find the amount of wrapping paper Mei Mei used

we need to find the surface area of the triangular pyramid.

The formula for an equilateral triangle's area is as follows:

\(A = (\sqrt{(3)/4}) \times s^2\)

where s is a side of the triangle's length.

The base of the triangular base is 13 inches, so the sides of the triangles are also 13 inches.

The slant height of the pyramid is given as 11.26 inches.

Using the formula, we find that the area of each triangular face is:

\(A = (\sqrt{(3)/4)} \times s^2 = (\sqrt{(3)/4)} \times 13^2 = 84.303\)

To find the total surface area of the pyramid, we add up the areas of all four triangular faces. There are four triangles, so:

total surface area =\(4 \times A = 4 \times 84.303 = 337.212\)

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Complete question -

Mei Mei wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift box.

a. To make the equation true, we need the real parts on both sides to be equal and the imaginary parts on both sides to be equal.

From the given equation:

x^2 - 3x = 10 (equating the real parts)

y^2 = 2y - 1 (equating the imaginary parts)

Solving the first equation:

x^2 - 3x - 10 = 0

Factoring the quadratic equation:

(x - 5)(x + 2) = 0

Setting each factor equal to zero:

x - 5 = 0 or x + 2 = 0

Solving for x:

x = 5 or x = -2

Now, solving the second equation:

y^2 - 2y + 1 = 0

Factoring the quadratic equation:

(y - 1)(y - 1) = 0

Setting the factor equal to zero:

y - 1 = 0

Solving for y:

y = 1

Therefore, the solutions are:

x = 5, y = 1

x = -2, y = 1

b. For the second equation:

cos(x) + i*sin(y) = sin(x) + i

Comparing the real and imaginary parts:

cos(x) = sin(x) (equating the real parts)

sin(y) = 1 (equating the imaginary parts)

Solving the first equation:

cos(x) = sin(x)

Using the identity sin(x) = cos(π/2 - x):

cos(x) = cos(π/2 - x)

Therefore, x = π/2 - x + 2kπ or x = -π/2 + x + 2kπ, where k is an integer.

Simplifying:

2x = π/2 + 2kπ or 2x = -π/2 + 2kπ

Solving for x:

x = (π/2 + 2kπ)/2 or x = (-π/2 + 2kπ)/2

Simplifying:

x = π/4 + kπ or x = -π/4 + kπ

Now, solving the second equation:

sin(y) = 1

The only solution in the given range (0 ≤ y < 2) is:

y = π/2

Therefore, the solutions are:

x = π/4, y = π/2

x = -π/4, y = π/2

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There's no question there. You didn't attach the pic

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Answer:

5.5 weeks

Step-by-step explanation:

180 = 80+(18)w

100= 18w

w=100/18

w = 5.5

Answer:

22%

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

you look at the y axis and that is where you start it goes 2 down and 1 to the right

Answer:

C. -2

Step-by-step explanation:

Using the two points on the graph, apply the slope formula.

(y₂ - y₁)/(x₂ - x₁)

The points given are (-3, 3) and (1, -5).

(-5 - 3)/(1 - (-3))

Simplify.

-8/4

Divide.

-2.

In polygon, The sum of all interior angles of a triangle must be 180°.

In arithmetic, what is a polygon?

a) scaled copy of A with scale factor  1/2.

b) This is scale copy of polygon B with scale factor 2 .

c) Scaled copy of polygon C with scaled factor 1/4 .

the sum of all interior angles of a triangle must be 180° . So in option B sum of angles is 180.

50°  + 60°  + 70°  = 180°

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Answer: -1.71

7(x+3) = 9 is the equation

7x+21 = 9

7x = -12

x= -12/7

x= -1.71

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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Answer:

C.) y = -2x + 5

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2        x = 3       y = -1

y = mx + b                         <---- General structure

y = -2x + b                         <---- Plug -2 in for "m"

-1 = -2(3) + b                      <---- Plug "x" and "y" values in from point

-1 = -6 + b                          <---- Multiply -2 and 3

5 = b                                  <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5

When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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Pareto distribution is a member of a scale family referring fixed values of the shape parameter, it is trivially closed under scale transformations.

The Pareto distribution is a power-law probability distribution used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena. It was initially applied to demonstrate the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The pareto principle or 80-20 rule states that 80% of outcomes are due to 20% of causes. Pareto distribution is a member of the scale family distribution which is parameterized by a scale parameter. The larger the scale parameter, the more spread out the distribution.

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The account value, y(t), accruing continuously at a 5% annual rate, is modeled by the differential equation dy/dt = 0.05y. After 10 years, with P = $2000, the account value is approximately $3263.18.

(a) To model the value of the account, y(t), as it accrues continuously at a 5% annual interest rate, we use a differential equation. The rate of change of y with respect to time, t, is given by dy/dt, and it is equal to the interest rate times the current value of the account, which is 0.05y.

(b) Solving the differential equation dy/dt = 0.05y, we separate variables and integrate:
∫(1/y)dy = 0.05∫dt
ln|y| = 0.05t + C
Taking the exponential of both sides, we have |y| = e^(0.05t + C)
Since y represents the value of the account, we can write the general solution as y = Ae^(0.05t), where A is the constant of integration.

(c) If P = 2000, then we have the initial condition y(0) = 2000. Substituting these values into the general solution, we obtain 2000 = Ae^(0.05(0))
Simplifying, we find A = 2000. Therefore, the specific solution is y = 2000e^(0.05t).
To find the amount of money in the account after 10 years, we substitute t = 10 into the equation:
y(10) = 2000e^(0.05(10))
y(10) ≈ 2000e^(0.5)

Therefore, After 10 years, with P = $2000, the account value is approximately $3263.18.

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Step-by-step explanation:

ex1 :

a) the are of the circle is r x r x 3.14 = 15 x 15 x 3.14 = 706

b) the price is 1.25$ x 706 = 882.5$

.

ex2:

a) g(1) = 5, f(5) = 20, so 20

b)f(2) = -1, g(-1) = 1, so 1

c) g(0) = 3, g(3) = 9, so 9

Answer:

After 4 weeks, Macy and Robby will have same amount in their accounts.

Step-by-step explanation:

Given,

Amount saved by Macy each week = $12.50

Let,

x be the number of weeks.

M(x) = 12.50x

Amount saved by Robby each week = $7.50

Amount Robby already have = $20

R(x) = 7.50x + 20

For same amount;

M(x) = R(x)

Dividing both sides by 5

After 4 weeks, Macy and Robby will have same amount in their accounts.

Keywords: function, division

Answer:

Macy: 0 + 12.50x

Robby: 20 + 7.50x

After 4 weeks, they will have the same amount of money. (Both will have $50 by then)

If the age requirements for academic progressions set by a school is satisfied, than yes it is possible for a 13 year old to be in 7th grade.

The age at which a child is ready to start schooling can vary depending on a number of factors, including the child's physical, social, and emotional development. In general, children who are at least 5 years old and are able to meet certain developmental milestones are typically ready to start school.

Because academic skills are directly tied to a pupil's capacity for academic success, they are sometimes seen as being more significant than age when deciding whether a student is prepared to proceed to a higher grade level. Age is not always a reliable indicator of a student's intellectual aptitude or preparation for a higher grade level. Even if they are younger than their peers, some children may be farther along in their studies and possess the abilities and knowledge required to succeed in a higher grade. Even if they are older than their friends, some kids may be falling behind in their academics and not yet ready to advance to a higher grade.

Depending on the school's age requirements and the student's academic standing, a 13-year-old may be in the 7th grade. A kid who is 13 years old might be in seventh grade since in many educational systems, pupils in this grade are between the ages of 12 and 13. It is usually recommended to verify with the school to clarify their age requirements because they might differ from one school system to another. The intellectual ability of a student may also play a role in establishing what grade they are in addition to their age.

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Answer:

x=-9

y=-2

z=4

Step-by-step explanation:

5x+2y-2z=-57

3x-10y-z=-11

y=-2

5x+2(-2)-2z=-57

3x-10(-2)-z=-11

y = -2

5x-4-2z=-57

3x+20-z=-11

y = -2

5x-2z=-53

3x-z=-31

y = -2

5x-2z=-53

3x+31=z

y = -2

5x-2(3x+31)=-53

3x+31=z

y = -2

5x-6x-64=-53

3x+31=z

y = -2

-x=9

3x+31=z

y = -2

x=-9

3(-9)+31=z

y = -2

x=-9

-27+31=z

y = -2

x=-9

z=4

y = -2

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

The grounded ends of the guy wires are 15 meters apart.

Using the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).

Let's denote the length of the base as 'x.'

According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.

Applying the Pythagorean theorem:

x² + 20² = 25²

x² + 400 = 625

x² = 225

x = √225

x = 15

Therefore, the grounded ends of the guy wires are 15 meters apart.

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