What is the value of 13(a • b + a2) + 4 if a = 5 and b = −3?
308
134
−74
−126

please helpppppp

i need you if you get correct ill give brainlyest
need now

Answer:

depending on the question if it's subtraction Or division

The system of first order differential equation are,

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

To describe the behavior of x1, x2, and x3 (where xi denotes the ounces of salt in each tank) we can use a system of first order differential equations. Let's denote the rate of change of salt in each tank as dx1/dt, dx2/dt, and dx3/dt respectively.

Then, we can write the system of differential equations as:

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

where k1, k2, k3, and k4 are constants that represent the rates of salt transfer between the tanks.

This system of first order differential equations describes how the ounces of salt in each tank change over time.

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The statement is false. In the pair of linear equation, if a₁/a₂ ≠  b₁/b₂ then the equations have unique solution.

Given that,

The pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

We have to prove if a₁/a₂ ≠  b₁/b₂ then the equations have no solution.

We know that,

In the pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

If a₁/a₂ ≠  b₁/b₂ then System is called consistent and have a unique Solution

Lines intersect each other at unique point

a₁/a₂ =  b₁/b₂ = c₁/c₂ then consistent (infinite solution) as both Equation represent same line

a₁/a₂ =  b₁/b₂ ≠ c₁/c₂ then inconsistent (no Solution) as Lines are parallel and never intersect each other

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Answer:

-4/5

Step-by-step explanation:

To find the slope of a line with two points, we do y2-y1/x2-x1.

y2 is 2. y1 is 6.

2-6 = -4

x2 is 8. x1 is 3

8-3 = 5

-4/5 is the answer meaning it is the slope.

Answer:

Slope of this line = -4/5.

Step-by-step explanation:

The formula is

Slope = (y2-y1)/(x2-x1)  where (x1, y1) and (x2, y2)  are  the 2 points.

So here we have:

(6-2)/(3-8)

= -4/5.

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer:

d = - 50

Step-by-step explanation:

common difference is

50 - 100 = 0 - 50 = - 50 - 0 = - 50

The names of students in order from shortest to tallest would be = Brandon --> Amy --> Autumn--> Jennifer --> Richard --> Tom.

Jennifers height would be = X = 2( m - 90cm)

Height is used to define the quantity that is used to measure how tall or short an individual or an object is measured.

From the question,

Tom is the tallest in the group.

Richard's height is between Tom and Jennifer

Autumn is taller that Amy and Brandon.

Amy would have been the shortest if not for Brandon.

Therefore, Brandon is the shortest.

To calculate the height of Jennifer, let's take her height to be x.

Jennifer's height= X

Jennifer's mum height (m)= 1/2x + 90cm

To find x which is the Jennifer's height would be to make X the subject of formula;

1/2x = m - 90cm

X = 2( m - 90cm)

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A circle is a curve sketched out by a point moving in a plane. The diameter and circumference of the circle are (x/4) units and (x/4)π units, respectively.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that radius of the circle is x/8 units. Therefore, the diameter and the circumference of the circle can be written as,

Diameter of circle = 2 × (Radius of the circle)

                             = 2 × (x/8) units

                             = x/4 units

Circumference of circle = 2 × π × (Radius of the circle)

                                       = 2 × π × (x/8) units

                                       = (x/4)π units

Hence, the diameter and circumference of the circle are (x/4) units and (x/4)π units, respectively.

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The product (k-1) (6k+5) is C, \(6k^2 - k - 5.\) therefore, option C, \(6k^2 - k - 5.\) is correct.

To find the product of (k-1) and (6k+5), we can use the distributive property of multiplication.

We can multiply each term in the first expression (k-1) by each term in the second expression (6k+5), and then simplify:

\((k-1)(6k+5) = k(6k+5) - 1(6k+5)\\(k-1)(6k+5) = 6k^2 + 5k - 6k - 5\\(k-1)(6k+5) = 6k^2 - k - 5\)

Therefore, the answer is C, \(6k^2 - k - 5.\)

We can check our answer by multiplying it out using the distributive property, and we should get the original expressions (k-1) and (6k+5) back.

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Answer:

8

Step-by-step explanation:

10 plus 6 is 16

divide by 2

you get 8

Answer:

There Will be one cookie left.

Step-by-step explanation:

She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.

Answer:

31.4 cm

Step-by-step explanation:

5x3.14x2 = 31.4 cm

Answer:

30% of people surveyed were satisfied with the car.

Step-by-step explanation:

We are given:

Total participants in survey= 2800

People satisfied with car = 840

We need to find percent of the people surveyed were satisfied with the car.

The formula used is: \(\frac{People \ satisfied \ with \ car}{Total \ participants \ in \ survey} \times 100\)

\(=\frac{840}{2800}\times 100\\=30\%\)

So, 30% of people surveyed were satisfied with the car.

Answer:

x ≈ 8.57

Step-by-step explanation:

The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\(\frac{8}{6}\) = \(\frac{20-x}{x}\) ( cross- multiply )

8x = 6(20 - x) , distribute

8x = 120 - 6x ( add 6x to both sides )

14x = 120 ( divide both sides by 14 )

x ≈ 8.57 ( to the nearest hundredth )

Answer:

five.

just deleted a paragraph i was writing on why bc he already answered and you got it right therefore i dont need help anymore

thx for points tho

hahaha third time

The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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Answer: 4,000

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

(a) The probability that the student is both a senior and a mathematics major can be calculated by dividing the number of students who are both seniors and mathematics majors by the total number of students in the class. From the given information, there are 26 seniors and 25 mathematics majors. However, we need to be careful not to double-count the students who fall into both categories. Since the number of students who are neither senior nor mathematics major is 9, the number of students who are both senior and mathematics major is 26 + 25 - 9 = 42. Therefore, the probability is 42/47.

(b) Given that the student selected is a mathematics major, we need to find the probability that he is also a senior. This can be calculated by dividing the number of mathematics majors who are also seniors by the total number of mathematics majors. From the given information, there are 25 mathematics majors and 26 seniors. Therefore, the probability is 26/25.

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Answer:

x = 10

Step-by-step explanation:

x × 900 = 9000

=> 900x = 9000

=> x = 10

Answer:

Step-by-step explanation:

Correct option is the first one

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.

First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.

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the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9).

The equation of the line y = 1.4x - 0.9 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Comparing the given equation with the slope-intercept form, we can see that the slope is 1.4 and the y-intercept is -0.9. Therefore, the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9). The y-intercept, on the other hand, is the point where the line intersects the y-axis. In the equation y = mx + b, b is the y-intercept. In the case of the given equation, we can see that the y-intercept is -0.9. This means that the line intersects the y-axis at the point (0, -0.9). The slope and y-intercept are important characteristics of a line because they can be used to graph the line and to write its equation in slope-intercept form. In addition, they can be used to calculate the x-intercept, which is the point where the line intersects the x-axis, and to determine the equation of a parallel or perpendicular line.

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Based on his speed and the distance driven within that time, Kwan will have driven 144 miles in 2 hours

First find out Kwan's speed per hour:

Speed = Distance / Time

Convert the time to decimals:

= 1 + 1/4 hours

= 1 + 0.25

= 1.25 hours

Speed:

= 90 / 1.25

= 72 miles per hour

In 2 hours therefore, Kwan would have gone:

= 72 x 2 hours

= 144 miles

In conclusion, Kwan would have driven 144 miles.

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The distance kwan drive in 2 hours at this rate is known as 144 miles

Given that kwan is driving at a constant speed after 1/1/4 hours he has driven a total distance of 90 miles, this can be expressed as:

90 miles = 1 1/4 hours

To determine the total distance covered in 2 hours, this can be expressed as;

x = 2hours

Divide both expressed as:

90/x = (1 1/4)/2

90/x = (5/4)/2

90/x = 5/8

5x = 8 * 90

5x = 720

x = 720/5

x = 144

This shows that the distance kwan drive in 2 hours at this rate is known as 144 miles

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The expected one-period return for the asset is given by the expression 0.0675 + 0.045 + 0.03 + 0.04p + 0.04, where 'p' represents an unknown probability.

The given probability distribution represents the one-period return for an asset, with corresponding probabilities assigned to each return value. To find the expected one-period return, we need to calculate the weighted average of the returns, where the weights are the probabilities.

Let's calculate the expected one-period return step by step:

1. Multiply each return value by its corresponding probability:

  0.27 * 0.25 = 0.0675

  0.18 * 0.25 = 0.045

  0.10 * 0.30 = 0.03

  p * 0.04 = 0.04p

  0.20 * 0.20 = 0.04

2. Sum up the products calculated in step 1:

  0.0675 + 0.045 + 0.03 + 0.04p + 0.04

3. Set the sum equal to the expected one-period return, denoted as E(R):

  E(R) = 0.0675 + 0.045 + 0.03 + 0.04p + 0.04

Therefore, the expected one-period return of the asset is 0.0675 + 0.045 + 0.03 + 0.04p + 0.04.

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