please help me with this question.

Answer:

5

Step-by-step explanation:

Total amount spent = $15

Number of chain purchased is between 4 and 9

Cost per chain is a the same (whole dollar)

Number of Chain purchased = (total cost / cost per chain)

Since the total cost = $15

The only whole number value which can divide $15 without a remainder and give a value between between 4 and 9 is 3.

Therefore, cost per chain = $3

Hence, number of chain purchased = $15 / $3

= 5

Answer:

D

Step-by-step explanation:

the graph has a negative correlation

The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

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Answer:

10\(\sqrt{15}\) + 21\(\sqrt{10}\)

Step-by-step explanation:

-\sqrt{15}(-10-7\sqrt{6})

−

15

​

(−10−7

6

​

)

expand -sqrt15(-10-7sqrt6)

1 Expand by distributing terms.

-(-10\sqrt{15}-21\sqrt{10})

−(−10

15

​

−21

10

​

)

2 Remove parentheses.

10\sqrt{15}+21\sqrt{10}

10

15

​

+21

10

​

Based on the coordinates of the vertices of the quadrilateral ABCD, the perimeter is 18.64 units and the area is 18.96 units².

First, find the distance between the points of the quadrilateral:

Distance formula is:

d = √( (x₂ - x₁)² + (y₂ - y₁)²)

Distance for AB:

= √( (6 - 3)² + (5 - 5)²)

= 3

Distance for BC:

= √( (4 - 6)² + (-1 - 5)²)

= 6.32

Distance of CD:

= √( (1 - 4)² + (-1 - (-1)²)

= 3

Distance of AD:

= √( (1 -3)² + (-1 -5)²)

= 6.32

Perimeter is:

= 6.32 + 6.32 + 3 + 3

= 18.64 units

The area of the quadrilateral would be:

= 3 x 6.32

= 18.96 units²

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Answer:

1.4

Step-by-step explanation:

multiply 3 and 4

1-2+12/5

than divide 12 and 5

1-2+2.4

subtract 1 and 2

-1+2.4

than add

1.4

Answer:

If a polygon is not a triangle, then the polygon has more than three sides. Since a triangle has exactly 3 sides, contrapositive is true

Answer:

5.5555556e+43

Step-by-step explanation:

Hope it helped you brainiest plz and thank you!!!!!!!!!!1

Answer:

5.5555556e+43

Step-by-step explanation:

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Let P, R and S are three persons with ages 26 years, 27 years and 28 years

We need to find the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

x(11/10)ⁿ=y(11/10)ⁿ⁻¹=3(11/10)ⁿ⁻²

x.121/100=y.11/10=3

x/100=y/110=3/121

Hence,  100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

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The function f(x) = x^4 + 2x^3 - 2 has a local maximum at x = 0 and a global maximum at x = 2, with a global minimum at x = -2.

(a) Compute f'(x):

To find the derivative of f(x) = x^4 + 2x^3 - 2, we differentiate each term using the power rule:

f'(x) = 4x^3 + 3(2x^2) - 0

Simplifying, we get:

f'(x) = 4x^3 + 6x^2

(b) Determine the critical points:

To find the critical points, we set f'(x) = 0 and solve for x:

4x^3 + 6x^2 = 0

Factor out x^2:

2x^2(2x + 3) = 0

Setting each factor equal to zero, we have:

2x^2 = 0 --> x = 0

2x + 3 = 0 --> x = -3/2

Therefore, the critical points of f(x) are x = 0 and x = -3/2.

(c) Determine the intervals where f'(x) > 0 and f'(x) < 0:

To determine the sign of f'(x) in different intervals, we can pick test points within each interval and evaluate f'(x) at those points. Let's consider three intervals: (-∞, -3/2), (-3/2, 0), and (0, +∞).

For x < -3/2, we can choose x = -2. Substituting x = -2 into f'(x), we get:

f'(-2) = 4(-2)^3 + 6(-2)^2 = -32 + 24 = -8

Since f'(-2) is negative, f'(x) is negative in the interval (-∞, -3/2).

For -3/2 < x < 0, we can choose x = -1. Substituting x = -1 into f'(x), we get:

f'(-1) = 4(-1)^3 + 6(-1)^2 = -4 + 6 = 2

Since f'(-1) is positive, f'(x) is positive in the interval (-3/2, 0).

For x > 0, we can choose x = 1. Substituting x = 1 into f'(x), we get:

f'(1) = 4(1)^3 + 6(1)^2 = 4 + 6 = 10

Since f'(1) is positive, f'(x) is positive in the interval (0, +∞).

Based on these results, we can create a sign chart for f'(x):

Interval: (-∞, -3/2) | (-3/2, 0) | (0, +∞)

Sign of f'(x): (-) | (+) | (+)

(d) Determine local maxima and local minima:

From the sign chart, we can identify the intervals where f'(x) changes from positive to negative or vice versa. These points correspond to potential local maxima or minima.

In this case, we see that f'(x) changes from positive to negative at x = 0. Therefore, x = 0 is a potential local maximum.

There are no intervals where f'(x) changes from negative to positive, so there are no potential local minima within the given interval.

Since the endpoints (-2 and 2) are not critical points, we don't need to consider them as potential local maxima or minima.

Therefore, the local maximum of f(x) is at x = 0.

(e) Determine the global maximum and global minimum:

To find the global maximum and minimum, we need to consider the values of f(x) at the critical points and endpoints.

For x = 0, we have:

f(0) = 0^4 + 2(0)^3 - 2 = -2

For the endpoints:

f(-2) = (-2)^4 + 2(-2)^3 - 2 = 16 - 16 - 2 = -2

f(2) = 2^4 + 2(2)^3 - 2 = 16 + 16 - 2 = 30

Comparing these values, we see that the global maximum of f(x) is 30, which occurs at x = 2, and the global minimum is -2, which occurs at x = -2.

Therefore, the global maximum of f(x) is at x = 2, and the global minimum is at x = -2.

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Answer:

It 4 and thank you

Step-by-step explanation:

To pay for the new computer, you would need to work approximately 45 hours.

To calculate the number of hours needed to pay for the computer, we first need to determine the total deductions from the hourly wage. FICA, federal tax withholding, and state tax withholding are deducted from the $10.00 hourly wage.

FICA (7.65% of $10.00) = $0.765

Federal tax withholding (12% of $10.00) = $1.20

State tax withholding (8% of $10.00) = $0.80

Total deductions = $0.765 + $1.20 + $0.80 = $2.765

After subtracting the total deductions from the hourly wage, we get the net pay per hour

Net pay per hour = $10.00 - $2.765 = $7.235

To find the number of hours needed to pay for the computer, we divide the price of the computer by the net pay per hour

Number of hours = Price of the computer / Net pay per hour

Number of hours = Price of the computer / $7.235

Since the price of the computer is not mentioned in the question, we cannot determine the exact number of hours required. However, if we know the price of the computer, we can substitute it into the equation to find the answer.

The calculation and factors affecting it such as the price of the computer, any additional expenses or taxes, and the net pay per hour.

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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The P(junior and video games) = 32% and the two events are not independent.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, A survey of 150 people at a local high school about playing video games was conducted.

No. of junior players is (48 + 12) = 60 and the no of player who plays video games is (48 + 45 + 6) = 99.

∴ N(J∩PVG) = 48 junior and plays video games.

∴ P(junior and plays video games) = 48/150 = 32%.

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Answer:

A

Step-by-step explanation:

Surface area of sphere is 4 pi r^2

                     144 pi   = 4 pi r^2

                          144 pi / (4 pi) = r^2

                             36 = r^2

                               r = 6 ft

Answer:

c) divide both sides by 8

hope this helps!

Answer:

Its the 3 option

The probability that she will get a matching sock on her second draw is 0.87

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability = no. of favorable outcome / total outcome

Given that drawer consists of 4 black socks, 11 blue socks, 3 white socks, and 5 brown socks

So, the total number of socks = 23

Since, the first sock that Kara draws is blue

So, favorable outcome = 10

Probability of getting blue socks = 2× 10/ 23

Probability of getting blue socks = 0.87

Hence, the probability that she will get a matching sock on her second draw is 0.87

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The linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

Cubic equations are polynomials of third grade, whose standard and factor forms are shown below:

Standard form

y = a · x³ + b · x² + c · x + d

Factor form

y = (x - r₁) · (x - r₂) · (x - r₃)

Where r₁, r₂, r₃ are the zeros of the cubic equation.

There are several approaches to find the roots of the polynomial, in this question we decided to use the graphical approach, which offers sufficiency and quickness for analysis. The roots of the polynomials are the points that pass through the x-axis.

In accordance with the image attached below, the polynomial has three real roots: r₁ = - 20, r₂ = - 5, r₃ = 15. Then, the linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

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Answer:

b= -9

Step-by-step explanation:

Plug in -9 for b.

3= -9+12

Solve.

3=3

Since both sides are equal, the answer is -9

I hope this helped you ;)

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

The value of x is 32. So the correct answer is option A) 32.

To solve the equation Log₂x = 5, we need to find the value of x.

Using logarithmic properties, we can rewrite the equation as:

x = 2⁵

Evaluating 2⁵, we get:

x = 32

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According to the given information, Julie's new bank balance was $1,609.01

To calculate Julie's new bank balance, we need to subtract the total amount of checks she wrote from her initial balance, and then add the total amount of deposits she made.

Total amount of checks = $62.41 + $224.14 + $12.92 + $357.16 = $656.63

Total amount of deposits = $197.34 + $879.13 = $1,076.47

New bank balance = Initial balance - Total amount of checks + Total amount of deposits

New bank balance = $1,189.17 - $656.63 + $1,076.47

New bank balance = $1,609.01

Therefore, Julie's new bank balance was $1,609.01.

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Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

The solution to given inequality 12 > w + 3 is w < 9

In this question, we have been given an inequality 12 > w + 3

We need to solve the inequality for w.

Consider given inequality,

12 > w + 3                              ............(Given)

12 - 3 > w + 3 - 3                    ...........(Subtract 3 from each side)

9 > w

This means, w is less than 9.

Therefore, the solution to given inequality 12 > w + 3 is w < 9

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Answer:

x=4

Step-by-step explanation:

x-10= -6

 +10 +10

x   =   4