Can someone please explain what this is?! None of my parents understand it and neither do I!

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

For more questions on Polynomial .

https://brainly.com/question/2833285

#SPJ8

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ1

The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

The genotype ratio is:  1   TT : 1   Tt : 0  tt

The phenotype ratio is :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Genotypic ratio is the ratio between the genetic makeup among the offspring population.

On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.

The given test cross is between a homozygous tall parent and a heterozygous tall parent.

Using a Punnett square,

The result will be as shown below.

                     T                   t

          T        TT                 Tt

           T       TT                 Tt

Genotype :  1   TT : 1   Tt : 0  tt

Phenotype :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Learn more on Genotypic and Phenotypic ratio here: https://brainly.com/question/22108809

#SPJ1

Answer:

y=(-3/2)x+16

Step-by-step explanation:

The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

The amount to be invested today = future value / (1 + r)^nm

Where:

12500 / (1.00015)^(12 x 365) = $6,480.37

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: https://brainly.com/question/24108530

#SPJ1

The graph that represents the equation y \(=\) (-4/3)x - 2 is drawn below .

In the question ,

it is given that,

the equation of the line is  \(y=-\frac{4}{3}x-2\) ,

we need to plot the graph of the given line ,

To sketch the graph we need minimum two points .

when we put x \(=\) 3 in the equation , we get

y \(=\) (-4/3)(3) - 2

y = -4 - 2

y = -6

the first point is (3,-6)  .

For second point put x \(=\) 6 ,

we get

y = (-4/3)(6) - 2

y = -4*2 - 2

y = -8 - 2

y = -10

the second point is (6,-10) .

After plotting and joining the point  (3,-6) and (6,-10) ,

the graph is shown below .

Therefore , The graph that represents the equation y \(=\) (-4/3)x - 2 is drawn below .

The given question is incomplete , the complete question is

Draw the graph which represents the equation y \(=\) (-4/3)x - 2   ?

Learn more about Graphs here

https://brainly.com/question/27795078

#SPJ1

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

Learn more about LCM here :

https://brainly.com/question/6756370

#SPJ1

The value of dy/dx is 5x^4 / (x + 1)^6.

What is the derivative?

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable.

The given function is y = (x / (x + 1))^5

Taking derivative on both sides,

dy/dx = d/dx (x / (x + 1))^5)

Using chain rule,

dy/dx = 5(x /  x + 1)^4 x d/dx (x / x + 1)

Using the quotient rule of derivative,

d/dx (x / x + 1) = 1 / (x + 1)^2

So,

dy/dx = 5(x / x+1)^4 x (1 / (x + 1)^2)

dy/dx = 5x^4 / (x + 1)^6

Therefore, the derivative of the given function is, dy/dx = 5x^4 / (x + 1)^6.

To know more about the derivative of a function, click on the link

https://brainly.com/question/12047216

#SPJ13

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Your answer would be

A) 20.3

i am not sure about this but yeah also can i have brainliest

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

for more such question on correlation visit

https://brainly.com/question/13879362

#SPJ8

Answer:

\(\displaystyle V \approx 25129.99\)

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Continuously Compounded Interest Rate Formula: \(\displaystyle V = Pe^{rt}\)

Step-by-step explanation:

Step 1: Define

P = $9680

r = 5.3% = 0.053

t = 18 years

Step 2: Solve

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

9514 1404 393

Answer:

  y = 5x - 7

Step-by-step explanation:

We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.

  10x -2y = ...

Removing a common factor of 2 gives ...

  5x -y = 5(2) -(3) = 7 . . . .  using (x, y) = (2, 3), we can find the constant

Solving for y, we get ...

  5x -7 = y . . . add y-7

  y = 5x -7 . . . write in the desired form

Answer:

Its the 3rd option

Step-by-step explanation:

when -3 is greater hence (-infinity,-3)

when the number is greater than 1 then (1,infinity), hence

from top to bottom, the 3rd option is the answer:

(-infinity,-3) UNION (1,infinity)

Answer:

10

Step-by-step explanation:

Answer:

10 apples

Step-by-step explanation:

20% of 50 = 10

10 apples

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

for such more question on amount deducted

https://brainly.com/question/25821437

#SPJ8

Hey mate ,

In this particular question we have to find the volume of given objects and compare to find which has the greatest volume.

Lets Solve ,

Volume of cone :- 1/3πr²h

putting the known values ,

Volume = 1/3×3.14×5²×7 cubic ft.

Volume :- 183.1 cubic ft.

Volume of Sphere = 4/3πr³

putting the known values ,

Volume = 4/3×3.14×5³ cubic ft.

Volume = 523.33 cubic ft.

Volume of Cylinder = πr²h

putting the known values ,

Volume = 3.14×5²×7 cubic ft.

Volume = 549.5 cubic ft.

Volume of hemisphere = 2/3πr³

Putting the known values ,

Volume = 2/3×3.14×5³ cubic ft

Volume = 261.66 cubic ft.

Comparing the volume of each object , we can find that the Cylinder has the greatest volume

Answer:

dvd cost 36 dollars

casette costs 10.5 dollars

Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

Answer:

4 cookies

Step-by-step explanation:

2+2+=4

Answer:

I do believe that it is 4.

Step-by-step explanation:

They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4

Answer:7 3/5

Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries

                                               ? blueberries    =5 1/3 strawberries

do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.

Hope it helps  . :)

Answer:

I made this so you can give the other guy brainlyeist.

Step-by-step explanation:

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

Learn more about system equations here: https://brainly.com/question/13729904

#SPJ1

Inequalities refer to the mathematical expressions in which both sides are not equal.

In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.

these are the basic inequality operations.

1. x ≠ q means that x is not equal to q

2. x < q means that x is less than q

3. x > q means that x is greater than q

4. x ≤ q means that x is less than or equal to q

5. x ≥ q means that x is greater than or equal to q

Here are some different types of inequality.

1. Polynomial inequalities

2. Absolute value inequalities

3. Rational inequalities

To know more about inequality:

https://brainly.com/question/28823603

The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

Learn more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

4%

Step-by-step explanation:

1000 of 25000 is 4%