$ The polynomial 3x3 + 10x2 - x - 12 has a factor of x + 3. Find the remaining factors,

Answer:

$ 4,425.69

Step-by-step explanation:

A = $ 4,425.69

A = P + I where

P (principal) = $ 4,253.00

I (interest) = $ 172.69

Answer:

74

Step-by-step explanation:

21, 22, 20, 74, 25, 22, 29, 26, 26, 22, 21, 22

An outlier is a piece of data that is significantly different from the other pieces of data

All of the data is in the twenties except 74.  It is significantly different

It is an outlier

Hello!

[tex]\boxed{ \bf The~outlier~in~the~data~set~is~74.}[/tex]

__________________________________________________

An outlier is basically a number that is much greater or smaller than the rest of the numbers in the data set. In this case, all of the numbers are twenty-something, except for 74. There is a huge difference between 74 and these numbers.

Answer:

D for A then for B is C

Step-by-step explanation:

so if you calculate me but it is going to help you in this

Answer:

The answer is "5051".

Step-by-step explanation:

Given equation:

[tex]\bold{E(x)= 2(x+3)^2-3(x-1)(x+3)+(x-2)^2-31}\\\\[/tex]

put the 1, 2, 3, ........2019, 20202:

When E(1),

[tex]E(1) =2(1+3)^2-3(1-1)(1+3)+(1-2)^2-31\\\\[/tex]

        [tex]=2(4)^2-3(0)(4)+(-1)^2-31\\\\=2(16)-0+1-31\\\\=32+1-31\\\\=2[/tex]

When E(2),

[tex]E(2) =2(2+3)^2-3(2-1)(2+3)+(2-2)^2-31\\\\[/tex]

        [tex]=2(5)^2-3(1)(5)+(0)^2-31\\\\=2(25)-15+0-31\\\\=50-15-31\\\\=4[/tex]

When E(3),

[tex]E(3) =2(3+3)^2-3(3-1)(3+3)+(3-2)^2-31\\[/tex]

        [tex]=2(6)^2-3(2)(6)+(1)^2-31\\\\=2(36)-36+1-31\\\\=72-66\\\\=6[/tex]

When E(2019),

[tex]E(2019) =2(2019+3)^2-3(2019-1)(2019+3)+(2019-2)^2-31\\[/tex]

        [tex]=2(2022)^2-3(2018)(2022)+(2017)^2-31\\\\=8,176,968-12,241,188+4,068,289-31 \\\\= 4038[/tex]

When E(2020),

[tex]E(2020) =2(2020+3)^2-3(2020-1)(2020+3)+(2020-2)^2-31\\\\[/tex]

             [tex]=2(2023)^2-3(2019)(2023)+(2018)^2-31\\\\=8,185,058-12,253,311+4,072,324-31\\\\=4040\\[/tex]

[tex]\ Calculate: \\\\ \bold{A= E(1)-E(2)+E(3)-E(4).....+E(2019)-E(2020)}\\\\A= 2-4+6-8.....+4038-4040[/tex]

[tex]A= (2+6....+4038)-(4+ 8+12...4040)\\[/tex]

Formula:

[tex]t_n= a+(n-1)d\\\\\ When \\ \\ T_n =4040 \\ a= 4 \\ d= 4\\4040= 4+(n-1)4\\4040=4+4n-4\\4n=4040\\n= \frac{4040}{4}\\n= 1010\\\\When \\\\T_n =4038 \\ a= 2 \\ d= 4\\4038= 2+(n-1)4\\4038=2+4n-4\\4038=-2+4n\\4036=4n \\ n= \frac{4036}{4}\\n= 1009\\\\[/tex]

Formula for sum:

[tex]When, n= 1010\\ a=4 \\ l=4040\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1010}{2} (2\times 4+4040)\\\\S= 505(8+4040)\\\\S_1= 2044240 \\\\\\[/tex]

[tex]When, n= 1009\\ a=2 \\ l=4038\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1009}{2} (2\times 2+4038)\\\\S= 504.5(4+4038)\\\\S_2= 2039189 \\\\\\[/tex]

[tex]S= S_1-S_2\\\\S= 2044240 -2039189\\\\S= 5051[/tex]

The absolute value is = 5051

Answer:

[tex]\frac{x-14}{2}=24[/tex]

Step-by-step explanation:

In the given figure two secants are intersecting outside the circle.

Angle formed by these secants = 24°

Measure of arcs intercepted = x° and 14°

Formula to get the unknown chord is,

24° = [tex]\frac{1}{2}(x-14)[/tex]

Therefore, equation (2) given in the equation bank will be used.

By further solving for the value of x,

24×2 = ( x - 14)

48 = x - 14

x = 48 + 14

x = 62°

Answer:

150 is the answer I hope it helps

Answer:

150 miles

Step-by-step explanation:

15 x 2 x 5 = 150

2 times a day for 5 days

Answer:

it will cost $205.99 dollars

Step-by-step explanation:

Answer:

( x + 4 )^2 + ( y - 15 )^2 = 1; Option A

Step-by-step explanation:

~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~

1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:

( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2

2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2

3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.

Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1

Answer:9.212 x 108 is greater

Step-by-step explanation:4.87 x 109 =530.83

9.212 x 108 = 994.896

Which shows how 9.212 x 108 has a greater outcome than 4.87 x 109

Answer:

3^-x= 3^ 3x + 6

Step-by-step explanation:

match bases

remeber if a^b=a^c where a=a then b=c

remember

(x^m)^n=x^(mn)

1/(x^m)=x^-m

base of 3

(1/3)^x=(3^-1)^x=3^(-x)

27^(x+2)=(3^3)^(x+2)=3^(3x+6)

3^(-x)=3^(3x+6)

-x=3x+6

0=4x+6

-6=4x

-3/2=x

Answer:

x~-0.59179865 or -3/2=x

Step-by-step explanation: I don't wanna type anymore.

Answer:

population mean

Step-by-step explanation:

This price is a population mean, and symbol used to denote it is μ = ΣX/N.

A mean in maths is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Mathematically,

Mean = Sum of the observations/number of observations

Now it is given that,

average price of the paintings = $350

Number of paintings = 20

Now since the average is calculated by adding the prices of all the paintings and divides this number by 20.

Thus, it is a population mean denoted by the summation of X divided by the number of values in population which is denoted by Ν

⇒ μ = ΣX/N

Thus, this price is a population mean, and symbol used to denote it is μ = ΣX/N.

To learn more about population mean :

https://brainly.com/question/20597891

#SPJ2

Answer:

x=3.8

Step-by-step explanation:

Divide 5 by 9 to get the ratio in which the figure was reduced, then multiply this by 7 to get the value of x. In other words, 5/9x7= x

Answer:

1) You divide x measure by a2 and y measure by b^2 to equal 1 whole.

2) Using the vertices 0,0 we look for the negative (x-h^2)/ a2   and (y-k)^2/b^2

Which means distance from center to a vertices is 'a ' and means (hk)

3) So the parabola is a conic section (a section of a cone). Equations. x-squared is a parabola. The simplest equation for a parabola is y = x2.   Most renowned is the given y = ax2 + bx + c

For graphs the difference from the given x2 equation is we keep double 'x' x2 to y and multiply h to 4p;  we see (x - h)2 = 4p (y - k) usually focusing upright g k and p. Note below this focus changes from y to x if rotated on transversal.

Real life objects ;

Ellipses, including orbits of planets, satellites, moons and comets, and shapes of boat keels, rudders, and some airplane wings. A medical device called a lithotripter uses elliptical reflectors to break up kidney stones by generating sound waves.

Hyperbola;

Satellites, lenses radios, monitors Graphing a hyperbola shows this immediately: when the x-value is small, the y-value is large, and vice versa. Many real-life situations can be described by the hyperbola, including the relationship between the pressure and volume of a gas.

Parabolas; Are also used in satellite dishes to help reflect signals that then go to a receiver.From the paths of thrown baseballs, to fountains, this geometric shape is prevalent, and even functions to help focus light and radio waves.

Using Parabolic Reflectors to Focus Light

Flat surfaces scattered light too much to be useful to mariners. Spherical reflectors increased brightness, but could not give a powerful beam. But using a parabola-shaped reflector helped focus light into a beam that could be seen for long distances.

The idea that a parabolic reflector could produce an image was already well known before the invention of the reflecting telescope.

The name "parabola" is due to Apollonius, who discovered many properties of conic sections. It means "application", referring to "application of areas" concept, that has a connection with this curve.

Where the focus–directrix property of the parabola and other conic sections is due to Pappus of Alexandria. (c. 340) an encyclopedist where 8 volumes survived.

Galileo showed that the path of a projectile follows a parabola, a consequence of uniform acceleration due to gravity.

Step-by-step explanation:

The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes. In general, an ellipse may be centered at any point, or have axes not parallel to the coordinate axes.

The standard for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Answer:

The answer is a parebola

Step-by-step explanation:

1) You divide x measure by a2 and y measure by b^2 to equal 1 whole.

2) Using the vertices 0,0 we look for the negative (x-h^2)/ a2   and (y-k)^2/b^2

Which means distance from center to a vertices is 'a ' and means (hk)

3) So the parabola is a conic section (a section of a cone). Equations. x-squared is a parabola. The simplest equation for a parabola is y = x2.   Most renowned is the given y = ax2 + bx + c

For graphs the difference from the given x2 equation is we keep double 'x' x2 to y and multiply h to 4p;  we see (x - h)2 = 4p (y - k) usually focusing upright g k and p. Note below this focus changes from y to x if rotated on transversal.

Real life objects ;

Ellipses, including orbits of planets, satellites, moons and comets, and shapes of boat keels, rudders, and some airplane wings. A medical device called a lithotripter uses elliptical reflectors to break up kidney stones by generating sound waves.

Hyperbola;

Satellites, lenses radios, monitors Graphing a hyperbola shows this immediately: when the x-value is small, the y-value is large, and vice versa. Many real-life situations can be described by the hyperbola, including the relationship between the pressure and volume of a gas.

Parabolas; Are also used in satellite dishes to help reflect signals that then go to a receiver.From the paths of thrown baseballs, to fountains, this geometric shape is prevalent, and even functions to help focus light and radio waves.

Using Parabolic Reflectors to Focus Light

Flat surfaces scattered light too much to be useful to mariners. Spherical reflectors increased brightness, but could not give a powerful beam. But using a parabola-shaped reflector helped focus light into a beam that could be seen for long distances.

The idea that a parabolic reflector could produce an image was already well known before the invention of the reflecting telescope.

The name "parabola" is due to Apollonius, who discovered many properties of conic sections. It means "application", referring to "application of areas" concept, that has a connection with this curve.

Where the focus–directrix property of the parabola and other conic sections is due to Pappus of Alexandria. (c. 340) an encyclopedist where 8 volumes survived.

Galileo showed that the path of a projectile follows a parabola, a consequence of uniform acceleration due to gravity.

Step-by-step explanation:

The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes. In general, an ellipse may be centered at any point, or have axes not parallel to the coordinate axes.

The standard for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Answer:

9 recipientes

Step-by-step explanation:

Para empezar, tenemos que encontrar a cuánto equivalen 3/4 partes de 6 litros.

Para poder hacer esto, multiplicamos:

[tex](6)(\frac{3}{4})= \frac{18}{4} =\frac{9}{2}=4\frac{1}{2}[/tex]

Por lo tanto, el garrafón tiene 4.5 litros de agua.

Ahora, vamos a dividir esta agua en recipientes de 0.5 litros, por lo tanto, vamos a hacer una división:

4.5 ÷ 0.5 = 9

Por lo tanto, se van a poder llenar 9 recipientes.

Answer:

p=-2

Step-by-step explanation:

4p + 19 + 13p = –17 − p

4p+13p=17p

17p + 19 = -17 - p

18p=-36

p=-2

So the value of p is -2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

40m

Step-by-step explanation:

28÷7=4

10 x 4= 40

Answer:

The first time you pick a three the probability is [tex]\frac{1}{4}[/tex]  but if you already pick a three then the probability of you picking a 3 again is 0 because you only have one 3.

Answer:

1. 0.75

2. 0.25

Step-by-step explanation:

Let's start off with number 1

There is only 2 answers that would make sense.

0.6 and 0.75

But only one is the answer

To find the answer you have to go to the columns that represent the equation

Then you divide

108/144

= 0.75

Now in number 2

You have to place the information in the graph where it corresponds and you get the numbers 24/96

Now divide

24/96

=0.25

Hope this helped :)

Have a good one!

Answer:

Let's denote:

probability that a person paid regular admission P(A)

probability that a person purchased no snack P(B)

probability that a person got discount on admission P(C)

probability that a person purchased snack P(D)

For picture 1

Applying Bayes theorem, we have:

probability that a person paid regular admission, given that person purchased no snack : P(A|B) = P(A ∩ B)/P(B) = (108/240)/(144/240) = 108/144 = 0.75

=> Option D is correct

For picture 2

As shown in picture, we have:

probability that a person got discount on admission and purchased snack:

P(C ∩ D) = 24/240 = 0.1

=> Option C is correct

Hope this helps!

:)

Answer:

I'm glad you asked!

Step-by-step explanation:

5/18 pounds per person.

he problem already says what to do, we need to divide because that's what Karen is doing, she is spliting or dividing the pounds of candy for 3 people. So, we just need to divide 5/6 by 3,

[tex]\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} =\frac{5}{18}[/tex]

Answer:

200% of 32 would be : 32 x 200/100 = 32 x 2 = 64

Hope this helps!

:)

Answer:

64

Step-by-step explanation:

When you want to know the 200% of a number just simply multiply it by 2.

In general, if you were to face with questions like this, just remove the zeros in the percentage and multiply.

200% of 32

2 × 32 = 64

Answer:

have no idea lol im terrible at math

Answer:idk

Step-by-step explanation:

Answer:

2 committees

Step-by-step explanation:

9/4=2 with a remainder of 1

this means that only two full committees are possible

Answer: It sounds as if you worded it correctly the first time, though for a math assignment, I probably wouldn't use the term "doubled" (though it is technically correct)

Step-by-step explanation:

G = 2B is "The total number of girls is two times the number of boys"

B = 2G is "The total number of boys is two times the number of girls"

Answer:

(0.4, -57.9)

Step-by-step explanation:

y = 3x³ + 12x² - 10x - 56

dy/dx = 9x² + 24x - 10 = 0

x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)

x = -3.033006505, 0.3663398379

d²y/dx² = 18x + 24

For minima, d²y/dx² > 0 which is at x = 0.3663398379

y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56

y = -57.90544608

Answer:

54.8 Nm

Step-by-step explanation:

Torque is the cross product of the radius vector and force vector:

τ = r × F

Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.

τ = rF sin θ

Here, r = 0.366 meters and F = 155 Newtons.  F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.

τ = (0.366 m) (155 N) (sin 75°)

τ = 54.8 Nm

Click to let others know, how helpful is it

Answer:

Step-by-step explanation:

There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.

Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.

Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.

Answer:

-5

Step-by-step explanation:

There was five inches of snow, correct? Now, the five inches are melting. It's kinda like subtraction.

5 - 5

Answer:

infinite solutions

Step-by-step explanation:

8(j-4)=2(4j-16)

Distribute

8j - 32 = 8j - 32

Subtract 8j from each side

8j-8j -32 = 8j-8j -32

-32 = -32

This is always true so there are infinite solutions

Answer:

All Real Numbers Are Solutions

Explanation:

8(j − 4) = 2(4j − 16)

[ Simplify both sides of the equation ]

8(j − 4) = 2(4j − 16)

(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)

8j + −32 = 8j + −32

8j − 32 = 8j − 32

[ Subtract 8j from both sides ]

8j − 32 − 8j = 8j − 32 − 8j

−32 = −32

[ Add 32 to both sides ]

−32 + 32 = −32 + 32

0 = 0

Therefore, all real numbers are solutions.