a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the height of the rocket above the ground in meters, and t is the time after the launch in seconds. How many seconds did the model rocket stay above the ground since it left the platform

Hello!

Answer:

y=1

Divide the numbers;

y=-6/+2 +4

= y= -3 + 4

Add the numbers;

y=-3+4

= y= 1

Hope this helps! <3

Answer:

Step-by-step explanation:

According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.

A) Find the value of x:

B) Find the measure of angle 2:

C) Angles 2 and 3 are supplementary so their sum is 180°.

Answer:

A.  x = 18

B.  m∠2 = 68°

C.  m∠2 = 112°

Step-by-step explanation:

Given:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

\(\implies \angle 2 = \angle 4\)

\(\implies 4x-4= x+50\)

\(\implies 4x-4-x= x+50-x\)

\(\implies 3x-4= 50\)

\(\implies 3x-4+4= 50+4\)

\(\implies 3x=54\)

\(\implies 3x\div 3=54 \div 3\)

\(\implies x=18\)

To find the measure of ∠2, substitute the found value of x into the given expression for ∠2:

\(\implies m\angle 2 =(4x-4)^{\circ}\)

\(\implies m\angle 2 =[4(18)-4]^{\circ}\)

\(\implies m\angle 2 =(72-4)^{\circ}\)

\(\implies m\angle 2 =68^{\circ}\)

Angles on a straight line sum to 180°:

\(\implies m\angle 2 +m\angle 3=180^{\circ}\)

\(\implies 68 ^{\circ}+m\angle 3=180^{\circ}\)

\(\implies m\angle 3=180^{\circ}-68 ^{\circ}\)

\(\implies m\angle 3=112 ^{\circ}\)

Answer:

yes it would be

Answer:

Solve

(15x+y)and 20x+10y

2

Given that the simply supported beam has an effective span of 10 m and is subjected to a characteristic dead load of 8 kN/m and a characteristic imposed load of 5 kN/m. The concrete is a C35. We have to design the beam section located below the ground, and the beam width is limited to 200 mm.

The section of the beam located below the ground is known as a substructure, and the top of the substructure is called the superstructure or deck.The maximum bending moment at the midspan can be calculated as; M =\frac{w_{total} l^2}{8} Where;w_total = w_dead + w_imposedl = effective span of the beam= 10 m The characteristic dead load is 8 kN/m and the characteristic imposed load is 5 kN/m.  Let's assume we use reinforcement bars of 20 mm diameter.Hence, minimum depth required would be, 0.755 + 0.02 = 0.775 m.The section of the beam can be determined by assuming the width and depth of the beam. Let's assume the width of the beam as 200 mm.

Therefore, the effective depth of the beam would be; d = 0.775 \ m We can now calculate the area of the steel required to resist the bending moment using the formula; A_s = \frac{M}{\sigma_{st}jd}

Where;σst = 500 MPa (steel stress at yield)j = 0.9 (reinforcement factor)

A_s = \frac{162.5 \times 10^6}{500 \times 0.9 \times 0.775}

A_s = 475.3 \ mm^2 We can use 4 bars of 20 mm diameter for the steel reinforcement. Therefore, the area of steel we get would be; A_s = 4 \times \frac{\pi}{4} \times 20^2 = 1256.64 \ mm^2 We can use four bars of 20 mm diameter with 200 mm width and 0.775 m depth of the beam to withstand the maximum bending moment. Therefore, the beam section required to withstand the bending moment with a 200 mm width and 0.775 m depth is 4-20 mm diameter bars.

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Answer:

Here,

CD + DE = CD

x+10 + x+4 = 8

2x + 14 = 8

2x= -6

x= -3

Answer:

40 Hours

Step-by-step explanation:

20=4

40=8

60=12

80=16

100=20

120=24

140=28

160=32

180=36

200=40

False. When linearizing exponential data using logarithms, the data will become linear and the r²-value of the regression line will likely increase.

The logarithm transformation of the data will help to better fit the data with a linear regression line, since linear regression is used to fit linear data. Therefore, the use of logarithms can actually increase the r²-value of the regression line, not decrease it.

It is important to note that the r²-value does not necessarily indicate the accuracy of the model, but rather how well the model fits the data.

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Answer:

96 days. Divide 3072 by 32 and you get 96.

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

In "client-server" architecture, client is responsible for presentation-logic; "server" is responsible for data-access logic; and location of data-storage varies.

In a client-server architecture, we think of the client as a person using a computer to access a website or an app. The client is responsible for how things are presented to the user. It takes care of things like displaying information, handling user input, and making the interface look good and easy to use.

The server is like a powerful computer that stores and manages the data needed for the client. It's responsible for things like storing and retrieving information from a database. The server also handles tasks like processing requests from the client and sending back the requested data.

The location of the data storage can vary. Sometimes the data is stored directly on the server itself, while in other cases, it may be stored in a separate database or file system.

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Answer:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

Step-by-step explanation:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

f(–10) = (–10)^2 – 5(–10) + 12 = 100 – (–50) + 12 = 162

The statement "The graph of the function is a parabola" is true. Because the equation of the function is of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0, the graph of the function is a parabola.

The statement "The graph of the function opens down." is true. The coefficient of x^2 is a positive value, which means the parabola opens down.

So, the true statements are

The graph of the function is a parabola.

The graph of the function opens down.

The graph does not contain the point (20, –8)

The probability of picking an odd number and then picking an even number 5/18

The probability of picking an odd number on the first card is 1/2 since there are 5 odd cards out of 10 total cards. After picking an odd card, there are now 4 odd cards and 5 even cards left out of a total of 9 cards. So the probability of picking an even card on the second draw is 5/9.

To find the probability of both events happening, we multiply the probabilities:

P(odd and even) = P(odd) * P(even | odd)

= (1/2) * (5/9)

= 5/18

Therefore, the probability of picking an odd number and then picking an even number is 5/18.

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Answer: 33 votes

Step-by-step explanation:

First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:

= 60% × 220

= 0.6 × 220

= 132 students

Sonia has received 25% of the casted votes. The number of votes Sonia got will be:

= 25% × 132

= 0.25 × 132

= 33 votes

Layla has received 75%. Her votes will be:

= 75% × 132

= 0.75 × 132

= 99 votes.

50% of the total votes will be:

= 50% × 132

= 0.5 × 132

= 66 votes

The number of votes needed by Sonia to receive 50% of the total votes will be:

= 66 - 33

= 33 votes

Answer:

In My Knowledge

Option G. 10.4cm is the answer

is there more options

if yes please tell me

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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Answer:

\( x_{1} = 2, ▪︎ x_{2} = -2\)

Step-by-step explanation:

\( {x}^{2} = 4 (mod6)\)

\( {x}^{2} = 4\)

\( x =±2 \)

\( x_{1} = 2, ▪︎ x_{2} = -2\)

Answer:

x=13

Step-by-step explanation:

set up the equation:

AXB+BXC=AXC

(2x+10)+(2x+10)=(6x-6)

calculate for x

x=13

The initial Jacobian matrix evaluated at the point (x1, x2) = (5, 3) is,\($$J = \begin{bmatrix}1 & -6\\0 & 1\end{bmatrix}$$\).

The Jacobian matrix is a matrix of first-order partial derivatives that describes the rate at which a vector-valued function changes with respect to its input variables. More formally, if f: R^n -> R^m is a differentiable function that maps a vector x in n-dimensional space to a vector y in m-dimensional space, then the Jacobian matrix J of f is an m x n matrix whose entries are given by the partial derivatives of the components of f with respect to the components of x.

The Jacobian matrix of f(x1, x2) is given by:

\(\frac{\partial f_1}{\partial x1} & \frac{\partial f_1}{\partial x2}\\\frac{\partial f_2}{\partial x1} & \frac{\partial f_2}{\partial x2}\end{bmatrix}$$\)

where f1(x1, x2) = x1 - x2^2 and f2(x1, x2) = x2 - 2.

Evaluating the Jacobian at the point (x1, x2) = (5, 3), we have:

\($$J = \begin{bmatrix}\frac{\partial (x1-x2^2)}{\partial x1} & \frac{\partial (x1-x2^2)}{\partial x2}\\\frac{\partial (x2-2)}{\partial x1} & \frac{\partial (x2-2)}{\partial x2}\end{bmatrix}_{(5,3)}\)

\(=\begin{bmatrix}1 & -2x2\\0 & 1\end{bmatrix}_{(5,3)} =\begin{bmatrix}1 & -6\\0 & 1\end{bmatrix}$$\)

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The largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13. is 1440

Given, a number less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13.

On using the Chinese remainder theorem. As, the numbers 7, 11, 13 are pairwise coprime.

Firstly, an integer  m  such that  m−5  is divisible by 7 and  m−10  is divisible by 11 .

The Chinese remainder theorem says that all integers that work will be of the form  54+7⋅11⋅k=54+77k  for any integer  k .

Next an integer  n  such that  n−10  is divisible by 13 and  n−54  is divisible by 77.

Then, by the Chinese remainder theorem, all the integers that also work are of the form  439+13⋅77⋅k=439+1001k .

Hence, the positive integers satisfying the condition are: 439, 439 + 1001 = 1440, 1440 + 1001 = 2441, and so on.

The largest integer less than 2010 is 1440.

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Answer:  16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

Answer:

x/5+9

Step-by-step explanation:

The expression "9 more than the quotient of x and 5" in the mathematical form will be 9 + x / 5.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression "9 more than the quotient of x and 5" that is converted into mathematical form is written as,

⇒ 9 + x / 5

The expression "9 more than the quotient of x and 5" in the mathematical form will be 9 + x / 5.

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To determine whether the function f(x) = a^x-a^(-x)+sinx is even or odd, we need to check if it satisfies the properties of even and odd functions.

An even function is a function that satisfies the property f(x) = f(-x) for all x in the domain of the function. This means that if we reflect the graph of the function across the y-axis, we get the same graph.

An odd function is a function that satisfies the property f(x) = -f(-x) for all x in the domain of the function. This means that if we reflect the graph of the function across the origin (both x and y-axis), we get the same graph.

Let's start by checking whether f(x) is even:

f(-x) = a^(-x)-a^(x)+sin(-x)  (since sin(-x) = -sin(x))

       = -a^x+a^(-x)-sin(x)

Comparing f(-x) with f(x), we can see that f(-x) = -f(x) only when sin(x) = 0.

This means that f(x) is an even function only when sin(x) = 0, which occurs when x = nπ (where n is an integer).

Now, let's check whether f(x) is odd:

f(-x) = a^(-x)-a^(x)+sin(-x)  (since sin(-x) = -sin(x))

       = -a^x+a^(-x)-sin(x)

Comparing f(-x) with -f(x), we can see that f(-x) = -f(x) only when a^x = -a^x, which is not possible for any real value of a.

Therefore, f(x) is neither an even nor an odd function.
To determine whether the function f(x) = a^x - a^(-x) + sin(x) is even or odd, we can evaluate f(-x) and compare it to f(x).

An even function satisfies the condition f(-x) = f(x), while an odd function satisfies the condition f(-x) = -f(x).

Let's evaluate f(-x):
f(-x) = a^(-x) - a^(-(-x)) + sin(-x)
f(-x) = a^(-x) - a^x - sin(x)

Now, let's compare f(-x) to f(x):
f(-x) ≠ f(x) because f(x) = a^x - a^(-x) + sin(x)
f(-x) ≠ -f(x) because -f(x) = -a^x + a^(-x) - sin(x)

Since f(-x) is neither equal to f(x) nor -f(x), the function f(x) = a^x - a^(-x) + sin(x) is neither even nor odd.

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Answer:

The constant of proportionality for this relationship is 6. The price of 6 bags of candy is $36.

Step-by-step explanation:

Assuming that bag of candies is x and price is y, then the constant of proportionality will be how much y increases for every increase of x by 1.

When x increases by 1, y increases by 6. So, the constant of proportionality for this relationship is 6.

Using this, to find the value of y when \(x=6\), we can multiply 6 by 6 because for every time x increases by 6, y increase by \(6\cdot6\) times.

\(6\cdot6=36\)

So when x = 6, y = 36.

Hope this helped!

Answer:

I hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope = \(\frac{vertical}{horizontal}\) = - \(\frac{3}{10}\) → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

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Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

Answer:

they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass