hi i have dis questioonnnnn plz help ;-;

(a) Average velocities over each time interval:

(i) [3,4]: -2 m/s

(ii) [3.5,4]: -2.5 m/s

(iii) [4,5]: 0 m/s

(iv) [4,4.5]: -1.5 m/s

(b) Instantaneous velocity at t = 4: -1 m/s

(a) To find the average velocity over each time interval, we need to calculate the change in displacement divided by the change in time for each interval.

(i) [3,4] interval:

Average velocity = (s(4) - s(3)) / (4 - 3)

= (4^2 - 9(4) + 17) - (3^2 - 9(3) + 17) / (4 - 3)

= (16 - 36 + 17) - (9 - 27 + 17) / 1

= -2 m/s

(ii) [3.5,4] interval:

Average velocity = (s(4) - s(3.5)) / (4 - 3.5)

= (4^2 - 9(4) + 17) - (3.5^2 - 9(3.5) + 17) / (4 - 3.5)

= (16 - 36 + 17) - (12.25 - 31.5 + 17) / 0.5

= -2.5 m/s

(iii) [4,5] interval:

Average velocity = (s(5) - s(4)) / (5 - 4)

= (5^2 - 9(5) + 17) - (4^2 - 9(4) + 17) / (5 - 4)

= (25 - 45 + 17) - (16 - 36 + 17) / 1

= 0 m/s

(iv) [4,4.5] interval:

Average velocity = (s(4.5) - s(4)) / (4.5 - 4)

= (4.5^2 - 9(4.5) + 17) - (4^2 - 9(4) + 17) / (4.5 - 4)

= (20.25 - 40.5 + 17) - (16 - 36 + 17) / 0.5

= -1.5 m/s

(b) To find the instantaneous velocity at t = 4, we need to find the derivative of the displacement function with respect to time and evaluate it at t = 4.

s(t) = t^2 - 9t + 17

Taking the derivative:

v(t) = s'(t) = 2t - 9

Instantaneous velocity at t = 4:

v(4) = 2(4) - 9

= 8 - 9

= -1 m/s

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Axillary is 3 skulls.The remainder goes to the appendix.

The bones could potentially represent up to 22 different people.This is due to the possibility that each bone comes from a different person.

There were only 3 skulls, leading some to first believe there would only be 3 persons. However, there were 4 right femurs, indicating that there is a missing skull to correspond with one of the right femurs.

In light of this, you can only conclude, until further proof, that each bone belongs to a different person.

Axillary =3 skulls.

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The inequality of the graph that is given is: y < 2x - 3.

First find the slope (m) = rise / run of the line.

Rise = 2 units

Run = 1 unit

Slope (m) = 2/1 = 2

Y-intercept (b) = -3.

Since the shaded side is at the left, we are going to use the ">" sign. Substitute m = 2 and b = -3 into y < mx + b.

y < 2x - 3

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It will take 8 years to the amount is 124% of the initial invested amount.

What is simple interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Here, we have

Given: Brandon invests some money into a bank account which gathers the simple interest of 3% per year.

We have to find the amount of money in the account to be 124% of the amount Brandon invested.

 Interest = 3% per year

Let, invested amounts(principle) be =x

and, time after which the amount become 124%= t years

we have to find time(in years) after which the amount of money in the account is 124% of the amount invested.

it becomes 124x/100.

Simple interest= 124(x)/100- x

                        = 24(x)/100.

Here, we are using simple interest formula =((principle)(interest)(time))/100

24(x)/100 =((x)(3)(t)/100

   t= 8years.

Hence, It will take 8 years to the amount is 124% of the initial invested amount.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

from the question, we have the following parameters that can be used in our computation:

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

79.2 km/hour

Step-by-step explanation:

1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour

Answer:

90

Step-by-step explanation:

The scale from triangle 1 to 2 is 3 so just square 3 to get the scale of area 1 to 2.

Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

Answer:

The number is 15

Answer:

15

Step-by-step explanation:

The number is between 10 and 20.

10 11 12 13 14 15 16 17 18 19 20

The number is composite or have more than 2 factors.

10 12 14 15 16 18 20

The number is odd.

15

The expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).

So, the expression that can represent the above situation is:

The total money Nadya deposited is $1000.

Interest is 3.15%.

Total years are 8.

Simple interest formula: A = P (1 + rt)

Where a is the final amount, p is the principal amount, r is the interest return and t is the time in years.

Then, we have:

A = 1000 (1 + 3.5(8))

A = 1000(29)

A = 29,000

Therefore, the expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).

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Answer:

Domain= possible x values

Range= possible y values.

Domain= all real numbers

Range= all numbers greater than -2.

Let me know if this helps :)

Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph

" Domain of exponential function y = aˣ is all the values of x and range is the all calculated values of 'y' after substituting value of x."

General exponential function

y = aˣ

According to the graph,

Given exponential function,

y = 3ˣ - 2

x represents the domain of the function.

y represents the range of the function

compare with exponential equation

a= 3 >1

As the value of 'x' increases value of 'y' moves to infinity.

Therefore, value of y defined for all the values of 'x'.

Therefore,

Domain is set of all real numbers.

Function y is transformed by -2.

Substitute x=0 in y = 3ˣ-2 we get,

y = -2

Therefore,

Range = (-2 , ∞)

Hence, Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph.

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Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

The correct answer is B. The equation is 4/3x + 2 =18, and the number of hip-hop songs is 12.

To solve this problem, we need to use the given information to write an equation.

The number of requests for country songs is 2 more than 4/3 times the number of requests for hip-hop songs, and there were 18 requests for country.

We can represent this with the equation:

Country = 4/3(Hip-hop) + 2 We are told that there were 18 requests for country, so we can substitute 18 for Country in the equation:

18 = 4/3(Hip-hop) + 2

Next, we need to solve for Hip-hop.

We can start by subtracting 2 from both sides of the equation:

16 = 4/3(Hip-hop)

Then, we can multiply both sides of the equation by 3/4 to isolate the variable: 12 = Hip-hop

So the number of requests for hip-hop songs is 12.

The correct equation is 4/3x + 2 = 18, and the number of hip-hop songs is 12. Therefore, the correct answer is B.

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Answer:

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = \(\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}\)

From the table attached,

Ratio = \(\frac{6}{24}\)

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = \(\frac{3}{18}\)

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = \(\frac{1}{3}\)

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = \(\frac{7}{24}\)

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is \(\frac{1}{3}\).

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

The correct sentences that represent the inequality are as follows;

The sum of 2.1 and –1.2 times a number is at least 8.

The sum of 2.1 and –1.2 times a number is greater than or equal to 8.

The sum of 2.1 and –1.2 times a number is a minimum of 8.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

When two real numbers or two algebraic expressions are represented with symbols like <, > or ≤, ≥ they can be called an inequality.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

The correct sentences that represent the inequality are as follows;

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( .2597 , .3403 ) is confidence interval for the difference between the population proportions.

What does confidence interval mean?

β₁ = x₁/n₁  = 582/600 = 0.97

β₂ = x₂/n₂ = 268/400 = 0.67

( β₁ - β₂) ± z √β₁( 1 -β₁ )/n₁ + β₂(1 - β₂)/n₂

           = (.97 - .67 ) ± 1.645 √.97( 1 - .97)/600 + .97( 1 - .67)/400

           = .30 ± 0.4336

          = ( .2597 , .3403 )

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Answer:

11:05

Step-by-step explanation:

8:50+2hr15min is basically 8:50+2hr=10:50, and you add 15min after because its a 2hr 15min break, so 10:50+15=11:05

A supplement of an angle is six times as large as a complement of the angle. the measure of the angle is 72°.

To find the measure of the angle, we can use the concept of the supplementary angle and the complementary angle. So, Let's consider the angle as "x"∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement,180° - x = 6(90° - x) ⇒ 180° - x = 540° - 6x⇒ 5x = 540° - 180°⇒ 5x = 360°⇒ x = 360°/5⇒ x = 72°.

We are given that, a supplement of an angle is six times as large as a complement of the angle. We need to find the measure of the angle. Let's consider the angle as "x".∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement, we can write,180° - x = 6(90° - x)⇒ 180° - x = 540° - 6x.

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Answer:

31x² - 2

Step-by-step explanation:

5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2

Answer:b

Step-by-step explanation:

In addition to the Gini index and Entropy, there are other parameters that can be used to measure purity or determine the best split in a decision tree. Two commonly used parameters are: Classification Error , Gini Gain.

Classification Error (Misclassification Error):

The classification error, also known as the misclassification error, measures the fraction of misclassified instances in a node. It calculates the probability of misclassification by assigning the majority class label to all instances in the node. The classification error is given by the formula:

Classification Error = 1 - (max(p1, p2, ..., pk))

where p1, p2, ..., pk are the proportions of each class in the node.

A lower classification error indicates a purer node, where the majority of instances belong to a single class.

Gini Gain:

Gini gain is a measure of the reduction in the Gini index achieved by splitting a node based on a particular feature. It quantifies how much the impurity or randomness decreases after the split. Gini gain is calculated by subtracting the weighted average of the Gini indices of the resulting child nodes from the Gini index of the parent node. The feature with the highest Gini gain is chosen as the best split.

Gini Gain = Gini Index(parent) - (Weighted Average of Gini Indices of Child Nodes)

A higher Gini gain indicates a better split that maximizes the reduction in impurity.

These parameters, like the Gini index and Entropy, help in determining the purity of nodes and finding the optimal splits in a decision tree algorithm. By evaluating multiple parameters, the decision tree can make informed choices about the features and splits that lead to the most homogeneous and informative subsets of data.

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Answer:

B

Step-by-step explanation:

i believe the answer is B because C and D don't make sense in the context of the problem

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given

In line with the posed question.

Triangle ABC's vertices are A(-2, 3), B(0, 0), and C. (1, 2).

As we are aware,

The x-coordinates of each point must be negative while keeping the y-value constant in order to reflect a triangle over the y axis.

As a result, when triangle ABC is mirrored across the y-axis, its vertices are

A'(2,3)

B'(0, 0)

C'(-1, 2)

The vertices of the triangle will also change when it is dialated by a scale factor of 2.

A'(4, 6)

B'(0, 0)

And, C'(-2, 4)

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

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The function that determines the price of a ticket (P) for an airline based on the number of miles to be traveled (x) and the current cost per gallon of jet fuel (y) is given by P(x, y) = 0.5x + 0.03xy.

In this equation, the price of the ticket (P) is calculated by multiplying the number of miles traveled (x) by 0.5 and adding the product of 0.03, x, and y.

This formula takes into account both the distance of the flight and the cost of fuel, with the cost per gallon (y) influencing the final ticket price.

To calculate the price of a ticket, you can substitute the given values for x and y into the equation and perform the necessary calculations.

For example, if the number of miles to be traveled is 500 and the current cost per gallon of jet fuel is $2.50, you can substitute these values into the equation as follows:

P(500, 2.50) = 0.5(500) + 0.03(500)(2.50)

P(500, 2.50) = 250 + 37.50

P(500, 2.50) = 287.50

Therefore, the price of the ticket for a 500-mile journey with a fuel cost of $2.50 per gallon would be $287.50.

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Answer:

the answe would be x=117,2

Answer: x=117.2

Step-by-step explanation: