Initial values are X(0)=[05​], solve the Initlal value problem. and General solution becomes: a) x=10[2e−2te−2t​]+5[3e3te3t​] b) X=5[2e−2te−2t​]+5[3e3te3t​] c) x=15[2e−2te−2t​]−10[3e3te3t​] d) x=−10[2e−2te−2t​]−15[3e3te3t​]

Answer:

That would be A = 35.093665 m^2 (or depending on what label youre using)

Answer:

4.5m

Step-by-step explanation:

You have to multiply 3 × 1.5= 4.5m

Answer:

Airplane

Step-by-step explanation:

Answer:

Airplane

Step-by-step explanation:

Volume is the amount of mass an object has. Using common sense you can easily identify an airplane as the largest,

Answer:

The answer is B

Step-by-step explanation:

3/4

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Answer:

the answer would be b

Step-by-step explanation:

the other 2 have negatives and the 3rd option is whole so b

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

Answer: 20

Step-by-step explanation: Opposite sides of a parallelogram are congruent

Answer:

Step-by-step explanation:

3+2(8-3)

3+2*5

3+10

13

use BODMAS rule (Bracket Of Division Multiplication Addition and Subtraction).

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

250 is the answer

Step-by-step explanation:

200 to start and 50 for monthly and its one month so 250

For a hypothesis testing, \(H_0 : µ = µ_0\) ; \(H_1 : µ > µ_0.\) the calculated P-value for test statistic value are following a) 0.9906 ; b) 0.9370 ; c) 0.9773; d) 0.9678 ; e) 0.4404.

We are testing the null hypothesis versus alternative hypothesis. Both are defined as \(H_0 : µ = µ_0\)

\(H_1 : µ > µ_0.\).

We have to calculate the P-value for the following observed values test statistic one by one.

a)z = 2.35

The P -value is calculated for as follows P ( z > Zo) = 1 - P( z≤ z0)

= 1 - P( z≤ 2.35)

Now, using the normal distribution table, the value of P( z≤ 2.35) is equals to 0.009387. So, P( z> 2.35) = 1 - 0.009387

= 0.990613

b) z₀ = 1.53

The P-value is calculated for as follows P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 1.53)

Now, using the normal distribution table , the value of P( z≤ 1.53) is equals to 0.063008. So, P( z> 1.53) = 1 - 0.063008

=0.936992

c) z₀ = 2.00

The P-value is calculated for as follows, P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 2.00)

Now, using the normal distribution table , the value of P( z≤ 2.00) is equals to 0.02275. So, P( z> 2.00) = 1 - 0.02275

=0.97725

d) z₀ = 1.85

The P-value is calculated for as follows P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 1.85)

Now, using the normal distribution table , the value of P( z≤ 1.85 ) is equals to 0.032157. So, P( z> 1.85) = 1 - 0.032157

=0.967843

e) z₀ = -0. 15

The P-value is calculated for as follows P ( z > -z₀) = P( z ≤ z₀)

= P( z≤ 0.15 )

Now, using the normal distribution table , the value of P( z≤ 0.15) is equals to 0.440382. So, P( z > - 0.15) = 0.44038. Hence the required P-value is 0.44038.

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A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer:

this is about a 45 degree angle

Step-by-step explanation:

Answer: i think its D because X < -2 hopefully i helped

Step-by-step explanation:

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

Step-by-step explanation:

3 ATM transactions $3.25×6=$19.50

service charge $8.00×6=$48.00

Total is $67.50

Answer:

If, a = 2 and b = 3

It's not equivalent.

It's equivalent.

The correct equation is 4a + 9b.

Answer:

7y

Step-by-step explanation:

7(x + y) - 7x =

= 7x + 7y - 7x

= 7y

Answer:

7y

Step-by-step explanation:

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

Hope this helps :)

After solving 4sin²(x) - 8sin²(x/2), we get 4(cos(x) - cos²(x)) as an answer i.e, option (A) is the answer.

Trigonometry expression : 4sin²(x) - 8sin²(x/2)

What is Trigonometry expression?

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosec , cosine , cotangent , secant , sine , and tan.

Given expression, 4sin²(x) - 8sin²(x/2)

=> 4(sin²(x) - 2sin²(x/2))

=> 4(sin²x - 2(√(1 - cos x) / 2)²)

=> 4(sin²x - 2(1 - cos x) / 2)

=> 4(1 - cos²x - 1 + cos x)

=> 4(cos(x) - cos²(x))

Therefore, the answer is option(a) i.e,4(cos(x) - cos²(x)).

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Answer:

Graph A

Step-by-step explanation:

\(-0.6x-3 < 1.8\\-0.6x -3+3 < 1.8+3\\-0.6x < 4.8\\-0.6x/-0.6 < 4.8/-0.6\\x > -8\)

Answer:

- 13x^2+4x-11

Step-by-step explanation:

Sum of -3x^2+5x-8 and - 10x^2-x-3 is - 13x^2+4x-11

Answer:

D

Step-by-step explanation:

u just graph all the points and connect the lines; then see where the two lines meet :P

As a result, 4/9 participants choose vanilla ice cream with hot fudge topping.

A fraction is a number that symbolises a portion of a whole. It is written as two integers: the numerator, which is written above a line, and the denominator, which is written below the line. The denominator is the total number of equal parts in the whole, while the numerator is the number of equal parts that are being taken into account.

given

The chart indicates that a total of 20 partygoers selected ice cream and toppings. We must examine the intersection of the row for vanilla ice cream and the column for hot fudge topping in order to determine the percentage of persons who selected it. Four persons choose vanilla ice cream with hot fudge topping, according to the table.

The percentage of those who choose vanilla ice cream with hot fudge topping is as follows:

4 (consumers who selected vanilla ice cream with hot fudge topping) / 9 (consumers who did not) = 4/9

As a result, 4/9 participants choose vanilla ice cream with hot fudge topping.

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Answer:

Like radicals are radicals that have the same root number AND radicand (expression under the root).

The distance covered by helicopter rise each second is 8 feet.

And, the rate of change would be 24.7.

Used the concept of rate of change of equation that states,

Rate of change problems can be approached using the formula,

R = D/T

Or the rate of change equals the distance traveled divided by the time it takes to do so.

Given that,

A pilot is flying a helicopter at a constant altitude.

And, It rises 32ft every 4s. After 10s the helicopter is at an altitude of 180ft.

Let us assume that,

The helicopter's altitude in feet, y, is a function of the time in seconds, x.

Here, It rises 32ft every 4s.

Hence, the distance covered by helicopter rise in each second is,

32 ft / 4

8 feet

And, the rate of change would be,

\(m = \dfrac{(180 - 32)}{(10 - 4)}\)

\(m = \dfrac{148}{6}\)

\(m = 24.67\)

So, the rate of change would be 24.7.

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-0.5 cannot represent the probability of an event.

Correct option is (A).

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.

As per the given data:

We have to find out that, which of the following numbers CANNOT represent the probability of an event.

Probability of an event = \(\frac{Favorable \: Events}{Total \: Number \: of \: Events}\)

Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.

So from the above reasoning we can say that -0.5 cannot represent the probability of an event.

Hence, -0.5 cannot represent the probability of an event.

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The population is growing as the births are more than deaths in an year.

Increases in a population's or a dispersed group's membership are referred to as population growth.

Given:

To find: Is population growing or shrinking?

Finding:

Hence the population is growing as the births are more than deaths in an year.

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