A model rocket is shot upward at a rate of 230 ft/sec. The height of the rocket, in feet, after t seconds
is given by the formula h=16t² + 230t. Answer the following question and round to the nearest tenth where applicable. Be sure to show all of your algebraic work and formulas.

When will the rocket reach its highest point?

Answer:

You have to count it by using calculator.

Answer:

The answer is c

Step-by-step explanation:

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

Answer:

Your question is incomplete.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

f(x) = - x² - 8x - 12 ← factor out - 1 from each term

     = - (x² + 8x + 12) ← factor the quadratic

    = - (x + 2)(x + 6) → C

The correct option is C.  \(f(x)=-(x+2)(x+6)\).

Given function is  \(f(x) = -x^2-8x-12\).

Here, \(f(x)= -x^2-8x-12\)

\(f(x)=-[x^{2} +8x+12]\)

By middle term split method, splitting the middle term of the quadratic equation, we get

\(f(x)=-[x^{2} +6x+2x+12]\\\)

\(f(x)=-[x(x+6)+2(x+6)]\)

\(f(x)=-[(x+6) (x+2)]\)

Hence the required equivalent form of \(f(x)\) is \(-[(x+6) (x+2)]\). .

For more details on Zeroes of quadratic equation follow the link:

https://brainly.com/question/4318614

\(y = - 5x + n \\ \)

\( - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7\)

\(y = - 5x - 7 \\ 5x + y = - 7\)

Answer:

○ \(5x + y = -7\)

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

\(\boxed{y- y_1 = m(x - x_1)}\),

where:

m = slope (-5)

\(y_1\) = y-coordinate of point (-2)

\(x_1\) = x-coordinate of point (-1).

Substituting these values into the formula:

\(y - (-2) = -5(x - (-1))\)

⇒ \(y + 2 = -5(x + 1)\)

⇒ \(y + 2 = -5x -5\)      [expanding the brackets]

⇒ \(y = -5x -5 - 2\)      [subtracting 2 from both sides]

⇒ \(y = -5x - 7\)

⇒ \(5x + y = -7\)            [adding \(5x\) to both sides]

This means that the second option is correct.

Read more on point-slope form at:

https://brainly.com/question/15143525

Answer:

z=56

Step-by-step explanation:

trust me

z=56  pay attention in school‍

Step-by-step explanation:

Ok 2 and 4 are vertical angles which means they are the same measure.  That  means since 2 is 47, then 4 is 47 also. 1 and 2 form a straight line, so they are complementary and add up to 180.

a1+a2=180

a1+47=180

a1=133

Remember 1 and 3 are vertical angles, meaning they are congruent (means equal). So, 1 and 3 are both 133.

The most apt description of expected value is: The long-term average outcome of an experiment.

Expected value refers to the long-term average outcome of an experiment. It is a mathematical concept that represents the average value of a random variable over an infinite number of trials.

In other words, it is the sum of all possible outcomes of an experiment, weighted by their probability of occurring.

Expected value is a crucial concept in probability theory and statistics, as it helps in predicting the likely outcome of an experiment or event. It is often used in decision-making processes, such as in finance and insurance, to calculate the potential risks and rewards associated with different options.

The other options listed in the question are not correct definitions of expected value. The standard deviation is a measure of the variability or spread of a random variable, while the best result and median are specific values that may or may not be related to the expected value.

What you should expect to happen in an experiment every time may be related to the expected value, but it is not a precise definition.

Overall, expected value is a fundamental concept in probability theory and statistics that represents the long-term average outcome of an experiment or event.

To know more about expected value refer here:

https://brainly.com/question/28197299#

#SPJ11

The value of Ann’s bonds has increased by $45.28 more than the value of her stocks.

To determine which of Ann's investments has increased in value more, we need to calculate the change in value for both her bonds and stocks and compare the results.

Let's start by calculating the change in value for Ann's bonds:

Original market rate: 95.626

Current market rate: 106.384

Change in value per bond = (Current market rate - Original market rate) * Par value

Change in value per bond = (106.384 - 95.626) * $500

Change in value per bond = $10.758 * $500

Change in value per bond = $5,379

Since Ann bought seven bonds, the total change in value for her bonds is 7 * $5,379 = $37,653.

Next, let's calculate the change in value for Ann's stocks:

Original stock price: $28.00 per share

Current stock price: $30.65 per share

Change in value per share = Current stock price - Original stock price

Change in value per share = $30.65 - $28.00

Change in value per share = $2.65

Since Ann bought 125 shares, the total change in value for her stocks is 125 * $2.65 = $331.25.

Now, we can compare the changes in value for Ann's bonds and stocks:

Change in value for bonds: $37,653

Change in value for stocks: $331.25

To determine which investment has increased in value more, we subtract the change in value of the stocks from the change in value of the bonds:

$37,653 - $331.25 = $37,321.75

Therefore, the value of Ann's bonds has increased by $37,321.75 more than the value of her stocks.

Based on the given answer choices, the closest option is:

A. The value of Ann’s bonds has increased by $45.28 more than the value of her stocks.

However, the actual difference is $37,321.75, not $45.28.

To know more about investments, visit:

https://brainly.com/question/32836865

#SPJ11

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

To know more about substitute visit

https://brainly.com/question/29383142

#SPJ11

The area of the circle is approximately 55.39 square inches.

The circumference of the circle is approximately 26.38 inches.

The area of a circle = πr²

The circumference of the circle = 2πr

Where, r is the radius of the circle, which is half of the diameter of the circle.

Therefore, we have:

radius (r) = 8.4/2 = 4.2 inches

π = 3.14

Thus:

The area of the circle = πr² = 3.14 * 4.2²

Area ≈ 55.39 square inches [nearest hundredth]

The circumference of the circle = 2πr = 2 * 3.14 * 4.2

Circumference ≈ 26.38 inches.

Learn more about the circumference on:

https://brainly.com/question/30381834

#SPJ1

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

Learn more about Mean and Variance at

brainly.com/question/29253308

#SPJ4

Answer:

The answer is D

Step-by-step explanation:

You multiply by 2  19 x 2 = 38 38 x 2 = 76  76 x 2 = 152

then 152 x 2 = D 304

The following expression represents a 2-scale factor vertical stretch, a transformation of 4 units left, and a transformation of 1 unit down:

g(x) = 2f(x + 4) - 1

A vertical stretch of scale factor K is expressed as follows for the general function f(x):

g(x) = Kf(x).

Horizontal translation:

A horizontal translation of N units for a general function f(x) is written as:

g(x) = f(x + N).

The shift is to the left if N is positive and the shift is to the right if N is negative.

Vertical translation:

A vertical translation of N units for a generic function f(x) is expressed as follows:

g(x) = f(x) + N.

When N is positive, there is an upward movement and N shifts downward if it is negative.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2f(x)

Then we translate it into 4 units left:

g(x) = 2f(x + 4)

Then we translate 1 unit down:

g(x) = 2f(x + 4) - 1

This is the equation for the transformation.

To learn more about transformations refer to:

brainly.com/question/4289712

#SPJ4

Answer:

x= 45 degrees

Step-by-step explanation:

the top angle is a eight angle which is equal to 90 all triangles are 180 degrees both bottom angles are equal and 180 minus the 90 degree from the right angle is 90 degrees you divide that by 2 and you have your answer

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

The X-Chart is "In Control" if all the plotted points lie between the control limits. The X-Chart for the given sample data shows that all the points lie between the control limits, so the process is "In Control."

it can be concluded that the 13oz filling machine is properly adjusted.

R = Max Value - Min Value
Upper Control Limit (UCL) =\(X-bar + A2RBar\)
Lower Control Limit (LCL) =\(X-bar - A2RBar\)

The value of A2 is given in the table of control chart constants. For n = 5, A2 is 0.577. The value of R Bar is the average of the ranges calculated over time periods. The X-Chart is in control if all the plotted points are within the control limits and if no non-random patterns or trends exist in the plotted data.

The X-Chart is out of control if any of the following conditions are met: One or more points are outside the control limits. A non-random pattern exists in the plotted data. A trend exists in the plotted data.

The X-Chart for the given sample data is calculated as follows:
Sample Mean: X-bar = 12.984
Range: R = 0.07A2,0.577
RBar =\((0.07 + 0.07 + 0.06 + 0.07 + 0.05)/5 = 0.064\)
UCL = \(X-bar + A2\)
RBar =\(12.984 + 0.577(0.064) = 12.994\)
LCL = \(X-bar - A2\)
RBar = \(12.984 - 0.577(0.064) = 12.974\)

The process is "In Control." it can be concluded that the 13oz filling machine is properly adjusted.

To know more about Upper Control Limit visit:-

https://brainly.com/question/32363084

#SPJ11

the answer is 29 hope this helps

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

To know more about average visit:

https://brainly.com/question/897199

#SPJ11

Answer:

56 chickens or 112 legs

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

To know more about isolated visit:

https://brainly.com/question/32227296

#SPJ11

When smoothing time series data, it's important to ensure that the curve is not over-flattened, as this can lead to important information being lost.

To learn more about T-value refer:

brainly.com/question/27192813

#SPJ4

Answer:

D (-3, 5)

Step-by-step explanation:

270 counter clockwise is the same as 90 clockwise.

For a 90° clockwise or 270° counter clockwise, take the opposite of the x coordinate then switch the coordinates.

(-5, -3) -----> (5, -3) ------> (-3, 5)

You can also rotate your screen 90° clockwise to see the new coordinates for A.

Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

Answer:

C. 5.44

Step-by-step explanation:

Answer:

x= 2597/335

Step-by-step explanation:

collect like terms

2.4x-9.1x= -6.7x

-39.44-12.5 = -51.94

-6.7x=-51.94

divide both sides by -6.7

x= 2597/335

Answer: Tavion is traveling faster than Jonathan, but Tavion is slowing down slightly.

Their initial speeds are:

Jonathan 0.667 miles per minute.

Tavion 0.833 miles per minute.

Step-by-step explanation: To find their speed, divide miles by minutes.

From the graph pick coordinates. (3,2) or (6,4) The y-values are miles, x-values are minutes.

Jonathan: 2 miles ÷ 3 minutes = 0.667 miles per minute.

For Tavion, get his initial speed from the first values in the chart.

Tavion: 12.5 miles ÷ 15 minutes = 0.833 miles per minute.

The miles do not increase exactly as the time increased. They would be 12.5, 25 and 37.5 if his initial speed remained the same.