Finding slope for (-1,1) and (5,4)

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

To know more about decimal check the below link:

https://brainly.com/question/703656

#SPJ1

Answer:

  {−1.47596288535, 1.73968983949, 9.73627304586}

Step-by-step explanation:

The roots of this cubic are real and irrational, as indicated by a graph of it. (Rational roots would be divisors of 25.) The same graphing calculator can provide an iterative solution to 12 significant figures. Here, we have used Newton's method iteration. The iteration function is ...

  g(x) = x -p(x)/p'(x) . . . where p'(x) is the derivative: 3x^2-20x

We started each iteration using the value shown on the graph.

  x ∈ {−1.47596288535, 1.73968983949, 9.73627304586}

__

The second attachment shows another calculator's solution. The values of x that are roots are the opposite of the constant in each binomial factor. You will notice this solution has a couple more significant figures than the one shown above.

__

Additional comment

There are several formulas for finding the "exact" roots of the cubic. Here's a trig approach that works reasonably well for cubics with 2 or 3 real roots.

We can define, for p(x) = x³ +ax² +bx +c, ...

  s = -a/3 = 10/3

  t = b -a²/3 = -100/3

  r = a(2a² -9b)/27 +c = -10(200)/27 +25 = -1325/27

  d = √(-4t/3) = √(400/9) = 20/3

  h = 4r/d³ = -53/80

Now, the roots are ...

  x = s +d·sin(arcsin(h)/3 +2nπ/3) . . . . for n=-1, 0, 1

  = 10/3 +20/3·sin(arcsin(-53/80)/3 + n(2π/3)) . . . . . "exact solution"

  = (10/3)(1 +2·sin(-13.8303° +n(120°))

  = -1.47596..., or 1.73969..., or 9.73627...

Answer:

Hello,

Answer is (x+1)(x+3)(2x+1)

Step-by-step explanation:

\(p(x)=2x^3+9x^2+10x+3\\p(-1)=2*(-1)^3+9*(-1)^2+10*(-1)+3=-2+9-10+3=0\\p(x)\ is\ divisible\ by\ (x+1)We\ arrange\ to\ put\ a\ factor\ of\ x+1\\\\2x^3+9x^2+10x+3\\\\=2x^3+2x^2+7x^2+7x+3x+3\\\\=2x^2(x+1)+7x(x+1)+3(x+1)\\\\=(x+1)(2x^2+7x+3)\\\\=(x+1)(2x^2+6x+x+3)\\\\=(x+1)(2x(x+3)+1(x+3))\\\\=(x+1)(x+3)(2x+1)\\\)

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

Answer: The answer is "1".

Step-by-step explanation:

Correct on edgen.

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

Answer:

ASA

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

Let's use the triangle property to solve for x.

Work:

Hence, the value of x is 86°

Answer:

Step-by-step explanation:

Here is the completed table of function values for f(x) = -x² + 6:

x -2 -1 0 1 2

f(x) -2 5 6 5 2

To graph the function, you can plot the points from the table on a coordinate plane and connect them with a smooth curve. The graph of f(x) = -x² + 6 is a downward-facing parabola that opens up to the point (0, 6), as shown below:

          7

          |

          |

          |

          |

          |

          |

          |

          |

  -----0------

          |

          |

          |

          |

          |

          |

          |

          |

         -2

The vertex of the parabola is located at the point (0, 6), and the axis of symmetry is the vertical line x = 0.

Answer:

Solving Absolute Value Inequalities. As we know, the absolute value of a quantity is a positive number or zero. From the origin, a point located at [latex]\left(-x,0\right)[/latex] has an absolute value of [latex]x[/latex] as it is x units away. Consider absolute value as the distance from one point to another point.

Step-by-step explanation:

Answer:

Well you see an absolute value means that it will be absolute value, and inequality means not equal. (I had to make the answer more advanced ;)

Step-by-step explanation:

But thanks for the points ;)))

Step-by-step explanation:

√(7^2) + (9^2)

=√(49) + (81)

=√(130)

=11.401754251

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ1

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

\(A(t) = A(0)(1-r)^t\)

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that \(A(5600) = 0.5A(0)\). We use this to find r, or 1 - r, to replace in the equation. So

\(A(t) = A(0)(1-r)^t\)

\(0.5A(0) = A(0)(1-r)^{5600}\)

\((1-r)^{5600} = 0.5\)

\(\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}\)

\(1 - r = (0.5)^{\frac{1}{5600}}\)

\(1 - r = 0.9999\)

So

\(A(t) = A(0)(0.9999)^t\)

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which \(A(t) = 0.02A(0)\). So

\(A(t) = A(0)(0.9999)^t\)

\(0.02A(0) = A(0)(0.9999)^t\)

\((0.9999)^t = 0.02\)

\(\log{(0.9999)^t} = \log{0.02}\)

\(t\log{0.9999} = \log{0.02}\)

\(t = \frac{\log{0.02}}{\log{0.9999}}\)

\(t = 39118\)

The estimated age of the skull is 39118 years.

Answer:

Step-by-step explanation:

Hello,

\((f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9\)

Thanks

Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer:

\(y=4x+8\)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

Here's what the variables mean:

\(y\) = the y-coordinate

\(m\) = the slope of the line

\(x\) = the x-coordinate

\(b\) = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as \(m\):

\(y=4x+b\)

Now, all we have to do is solve for \(b\), the y-intercept. We can do this by plugging the point (-1, 4) into the equation as \(x\) and \(y\).

\(4=4(-1)+b\)

Solve the equation

\(4=4(-1)+b\\4=-4+b\)

Add 4 to both sides to isolate \(b\)

\(4+4=-4+b+4\\8=b\)

Therefore, \(b\), or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

\(y=4x+8\)

I hope this helps!

Answer:

200ft²

Step-by-step explanation:

SA = 8(15) + (8+15+17) 20

= 120+ (4)(20)

= 120+80

= 200ft²

Answer:

Step-by-step explanation:

You have a course average of 79% that is 75% of your grade, and you want to know ...

The course average is computed as the weighed average of the course grade so far and the final grade. The weighs are 75% and 25%, respectively. In formula form, the relation between the final grade (f) and the course average (c) is ...

  0.75(79) + 0.25f = c

Solving for f, we have ...

  f = 4(c -59.25) = 4c -237

Assuming the best final grade is 100, the best course grade is ...

  c = 0.25(100) +59.25 = 25 +59.25 = 84.25

The best course grade is 84.25%.

For a course grade of 75%, the least final grade necessary is ...

  f = 4(75) -237 = 300 -237 = 63

The minimum score on the final for a 75% for the course is 63%.

__

Additional comment

Here we have percentages with two different bases. The course grade percentages have a base of the greatest possible number of credits. The weight percentages have a base of the whole course grade. Working with percentages of percentages can be confusing if the base of the percentage is not clear.

We often find it easier to deal with grades expressed as a number 0 to 100, rather than as a percentage. That is what we have done here (except in the final answers). The final answer expresses the course grade as a percentage so as to be consistent with the problem statement.

Answer:

Your answer should be K=21.7

You can find this by subtracting 26.2-4.5

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Learn more about Pascal's triangle here:

https://brainly.in/question/31891178

#SPJ1

Answer:

8)

  a) 6,320,000

  b) 230,000

  c) 10,000,000

8)

  a) 9,300,000

  b) 5,240

  c) 28,000

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

Find out more on probability at https://brainly.com/question/22690728

#SPJ1

Answer:

A.), C.), D.) are true

Step-by-step explanation:

Use the properties of exponents.

Based on the informtaion provided, the two-way table would be,

                                 Music        World Language         Totals

8th Grade                   20                    40                           60

7th Grade                    10                     50                           60

Total                          30                     90                           120

In this situation there were total 120 seventh and eighth grade CAVA students. And there were a total of 60 eighth grade students.

Total number of students = 120

This means that the number of students in 7th grade : 120- 60 = 60

Out of 120 seventh and eighth grade students, 30 students chose Music as their elechive course.

This means that remaining 120 - 30 = 90 students chose World Language as their elechive course.

Here, 40 eighth grade students chose World Language as their elective.

This means that out of total 90 students 90 - 40 = 50 students of 7th Grade  chose World Language as their elective.

Now consider the 8th grade students,

Out of 60 students 40 chose World Language.

So, 60 - 40 = 20 must chose Music as their elective.

Now consider the 7th grade students,

Out of 60 students 50 chose World Language.

So, 60 - 50 = 10 students must chose Music as their elective.

Hence the required two-way table would be,

                                 Music        World Language         Totals

8th Grade                   20                    40                           60

7th Grade                    10                     50                           60

Total                          30                     90                           120

Learn more about the two way table here:

https://brainly.com/question/12390279

#SPJ1

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

for more questions on stock

https://brainly.com/question/18124452

#SPJ8

The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

Learn more about algebraic expressions on:

brainly.com/question/4344214

#SPJ1

Answer:

26

Step-by-step explanation:

A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.

Answer:

26.

Step-by-step explanation:

48 - 22 = 26.

Answer:

0.93319

Step-by-step explanation:

We solve the question using the z score formula

z = (x-μ)/σ/√n where

x is the raw score = 17.2 lbs

μ is the population mean = 19 lbs

σ is the population standard deviation = 6

n is the random number of samples = 25 fishes

Greater than sign = >

For x > 17.2 lbs

z = 17.2 - 19/6/√25

z = 17.2 - 19/ 6/5

z = 17.2 - 19/1.2

z = -1.5

Probability value from Z-Table:

P(x<17.2) = 0.066807

P(x>17.2) = 1 - P(x<17.2)

P(x>17.2) = 1 - 0.066807

P(x>17.2) = 0.93319

Therefore, that the probability that the mean weight will be greater than 17.2 lbs is 0.93319

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation: