how old is age? very important
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The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.

1. I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.

2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.

3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.

4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.

5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.

6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.

9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.

B: Based on the graph, the first rocket lands at approximately 5:15 PM.

C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.

Therefore, spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.

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The perimeter and area in hectares of the given field = 700m and 2.64 hectares respectively.

The formula that is used to calculate the perimeter here f a field = 2(l+w)

where,

Length = 240m

width = 110m

Perimeter = 2(240+110)

= 480 + 220

= 700m

The formula that is used to calculate the area of the field;

= length×width

= 240×110

= 26,400m²

To convert to hectares of land;

1 hec = 10000m²

X hec = 26,400m²

make X the subject of formula;

X= 26,400/10000

= 2.64 hectares.

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Answer:

a=6

Step-by-step explanation:

We are given that an equation

\(14a=84\)

We have to solve the equation

To solve the equation we will use division property of equality

By using division property of equality

We get

\(a=\frac{84}{14}\)

\(a=\frac{14\times 6}{14}\)

\(a=6\)

Hence, a=6

The probability that their first child will be a phenotypically normal girl is 3/8 or 37.5%.

Lou Gehrig's disease, also known as amyotrophic lateral sclerosis (ALS), is typically considered as an autosomal recessive disease. This means that both copies of the gene responsible for the disease need to be inherited, one from each parent, in order for an individual to be affected by the disease.

Given that the woman and her husband are both carriers of the disease, they each have one copy of the mutated gene and one normal gene. The probability of passing on the mutated gene to their child is 1/2 for each parent since they are carriers.

To determine the probability of their first child being a phenotypically normal girl, we need to consider the inheritance pattern. Let's break it down:

Gender: The probability of having a girl is 1/2, as gender is determined by the combination of the father's sperm (containing either an X or a Y chromosome) and the mother's egg (containing an X chromosome).

Phenotypically normal: For the child to be phenotypically normal, they should inherit at least one normal gene from either parent. The probability of inheriting a normal gene from the mother is 1/2, and the same probability applies for inheriting a normal gene from the father.

Independence: The probability of having a girl and inheriting a normal gene are independent events, so we can multiply their individual probabilities to calculate the combined probability.

Therefore, the probability of having a phenotypically normal girl is:

Probability of being a girl × Probability of inheriting a normal gene

= (1/2) × (1/2)

= 1/4

However, we also need to consider the possibility of having a boy. The probability of having a phenotypically normal boy is also 1/4.

Adding the probabilities of having a phenotypically normal girl and a phenotypically normal boy, we get:

1/4 + 1/4 = 2/4 = 1/2        

Since the question specifically asks for the probability of having a phenotypically normal girl, we divide the probability of a phenotypically normal girl by the total probability of having a child:

(1/4) / (1/2) = 1/4 * 2/1 = 1/2 = 2/4 = 1/2

Therefore, the probability that their first child will be a phenotypically normal girl is 1/2 or 50%.

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Answer:

Triangle ABC is not a Right Triangle

Step-by-step explanation:

The perimeter of a triangle is all of the sides added together so we can model our equation like so:

AB + BC + CA = P

or

8 + 5 + CA = 22

We first combine like terms

13 + CA = 22

Then make the variable have no numbers on its side

13 + CA = 22

-13          -13

CA = 9

So now that we know what CA is, we can determine whether or not its a right triangle

We can use the Pythagorean Theorem for this:

a^2 + b^2 = c^2   (the '^' symbol means 'to the power of')

or

5^2 + 8^2 = 9^2

Now we Solve

5^2 = 25

8^2 = 64

9^2 = 81

25 + 64 =? 81

89 does not equal 81

So Triangle ABC is not a Right Triangle

In parallelogram JKLM, m∠L exceeds m∠M by 30 degrees. The sum of all interior angles of a parallelogram equals to 360°.As the opposite angles in a parallelogram are equal, the measure of angle L and M are equal, which can be represented as x degrees each.The sum of angles L and M can be written as 2x degrees.

It can also be expressed as follows; m∠L + m∠M = 2x degreesIt is also given in the question that m∠L exceeds m∠M by 30 degrees. Therefore,m∠L = m∠M + 30 degreesSubstitute m∠M + 30 degrees in place of m∠L in the equation above to obtain: 2x = m∠M + (m∠M + 30°)2x = 2m∠M + 30°2m∠M = 2x - 30°m∠M = x - 15°Now that we know the measure of angle M, we can find the measure of angle K as follows;m∠K = 180° - m∠Mm∠K = 180° - (x - 15°)m∠K = 195°We can also find the measure of angle J as follows;m∠J = 180° - m∠Lm∠J = 180° - (m∠M + 30°)

we can say:m∠K + m∠M + 30° = 180°m∠K + m∠M = 150°Substitute 195° in place of m∠K in the equation above to get:195° + m∠M = 150°m∠M = 150° - 195°m∠M = -45°We can see that x is less than 15°, but an angle can't be negative. Therefore, this is impossible and there is no solution to this problem.ANSWER: There is no solution to this problem.

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For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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9514 1404 393

Answer:

  24 cm^2

Step-by-step explanation:

The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z

result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1

In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i

here, 41 is real part, 6i is imaginary part

A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.

We are given, (2+3i) (5-7i)

    at first, we expand it by removing parenthesis

2x5-2x7i+3ix5-3ix7i

10-14i+15i-21i²

now like term is added

10+i+21   as we are given i²= -1

    31+i

hence, we get 31+i

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Answer:

(9x10^4)+(7x10) = 90,000 + 70 = 90,070

Answer:

54x+16y

Step-by-step explanation: u have insta

Ok the answer Is 3x+8y trust me it'll save you in algebra

The probability of that either event A or event B (or both) occurs is 0.9.

What is the meaning of an event?

Events are the results of an experiment in probability. The likelihood that an event will happen as a result of an experiment is quantified by its probability.

Given that, event A ha a probability of 0. 5 and event B ha a probability of 0. 4.

P(A) = 0.5

P(B) = 0.4

Both events are independent.

Therefore P(A∩B) = 0.

The formula of the probability of the event A or B:

P(A or B) = P(A) + P(B) - P(A∩B)

Now putting the value of P(A) = 0.5, P(B) = 0.4, P(A∩B) = 0 in the above equation:

P(A or B) = 0.5 + 0.4 - 0

P(A or B) = 0.9

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Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

\(-3=\frac{k}{12}\)

multiply both sides by 12

\(\frac{12k}{12}=12\left(-3\right)\)

12*(-3)=-36

\(\frac{12k}{12}=12\left(-3\right)\)

k=-36

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

126/3 = 42

Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

v = 8

Given:

-31 = 3v + 9 - 8v

To find:

the value of v

To determine v, we will collect like terms:

subtract 9 from both sides:

The people have the flu after 2 hours are 32

To find the number of people in the population that have flu atfer 2 hours, we need to evaluate the function f(x) at x = 2,

Since the function gives the population x hours from now.

So we have:

f(2) = 2(4)^2

This gives

f(2) = 2 * 16

f(2) = 32

Hence, the number of people is 32

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Here is a huge hint:

sin(3x) = 3 sin (x) - 4(sin x)^3

sec (x) = 1/sin(x)

Take it from here.

The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.

Given is the equation -

sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)

We have the following equation -

{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)

Now, we know -

sin3x = 3 sin x - 4 sin³x

So, we can write -

(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)

sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}

(3 - 4sin²x) = 4cos²x - 1

3 + 1 = 4cos²x + 4sin²x

4 = 4(cos²x + 4sin²x)

4 = 4

1 = 1

LHS = RHS

Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.

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Answer: C

Step-by-step explanation:

i just know

Step-by-step explanation:

To convert a value from meters/seconds to kilometers/hour you multiply by 3,6.

example:

1,2 m/s => 1,2x3,6 = > 4,32 km/h

78 km/h => 78/3,6 => 21,67 m/s

Answer:

36 km/hr

Step-by-step explanation:

To convert meters/second to kilometers/hour, we need to multiply the value in meters/second by 3.6 (which is 3,600 seconds per hour) and divide it by 1,000 (which is the number of meters in a kilometer). So the formula is:

kilometers/hour = (meters/second) x 3.6 / 1,000

For example, if we want to convert a speed of 10 meters/second to kilometers/hour, we can use the formula as follows:

kilometers/hour = (10 meters/second) x 3.6 / 1,000 = 36 kilometers/hour

Therefore, a speed of 10 meters/second is equivalent to 36 kilometers/hour.

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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The following, find 2 solutions and 2 non solutions is \(x=\frac{30-5 y}{2}\)

What is non solutions?

Ideal solutions are those that follow Raoult's law throughout the whole concentration range. A solution is said to as a non-ideal solution if it violates Raoult's law.

\($$2 x+5 y=30$$\)

\(Move $5 y$ to the right side\)

\($$2 x=30-5 y$$\)

\(Divide both sides by 2\)

\($$\frac{2 x}{2}=\frac{30}{2}-\frac{5 y}{2}$$Simplify$$x=\frac{30-5 y}{2}$$\)

Non solutions, in the plural, refer to anything that falls short of offering a fix for a problem. These batteries also lose their charge, rendering them useless for solving the more significant issue of storing and utilizing renewable energy.

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The value of x is 5 and y is 4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The Equations are:

5x - 12y= -8...................(1)

and, 5 x + 2 y = 48 ..................(2)

Solving the Equation (1) and (2) we get

-12y -2y = -8 - 48

-14y = -56

y= -56 /(-14)

y = 4

and, 5x +2y= 48

5x + 8 = 48

5x= 40

x= 5

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Answer:

C

Step-by-step explanation:

a function is defined by each x value having only one y value

In option c, a x value of 2 could have a y value of either 1 or 7

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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