Mathematics Middle School

HELP!

What is Jacobson's conjecture?

Answers

Answer 1
In abstract algebra, Jacobson's conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian ring.

Related Questions

what components make an ellipse an ellipse

Answers

All ellipses have two focal points or foci. All ellipses have a center and a major and minor axis
Final answer:

An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.

Explanation:

An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.

The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).

A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.

Round 5685 to the nearest 100

Answers

The nearest hundred would be mostly the numbers "685".. We know that anything 50 and greater rounds to the next number, so since 85 > 50, we can round that up to 700. Adding the 5000, it would be 5700

Please help my answer is c, is this right!

Answers

I'm not sure how you got c but the way you would solve this is for every x on the line plot you would add that amount. You don't need to worry about 0 because 0 is nothing.
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
[tex]0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25[/tex]

Does 21.6,28.8,36 equal a right triangle

Answers

21.6 < 28.8 < 36

if they are the lengths of the sides of a right triangle then:

[tex]21.6^2+28.8^2=36^2\\\\L_s=466.56+829.44=1296\\\\R_s=1296\\\\L_s=R_s[/tex]

therefore it's the right triangle.

How would I set up the equation to find mRQS on this circle?

Answers

mRQS=360-mSR. or mRQS=31x+13...To solve the measure of the minor arc RQS you would use this... 31x+13+(6+18x/2. )=360.

PLEASE HELP!!!


Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.

Your explanation should be 3-4 sentences and include at least 6 of the following words.

-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function

Answers

A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph.  A parabola is a u-shaped graph.  The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase.  Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.

Answer:

アップダウンは世の常

クズ引いたって動じない

Step-by-step explanation:

Tyrone factored the polynomial completely. What is the value of b? 12x^4+30x^3+4x^2+10x
Ax(Bx^2+1)2x+5

Answers

The value of B = 2x (3x^2 + 1) (2x + 5)

Given: 12x^4 + 30x^3 + 4x^2 + 10x

Req'd: B = ?

Sol'n:

*use elimination

solving for B:

= 2x (6x^3 +15x^2 + 2x +5)
= 2x (3x^2(2x + 5 +2x +5)
= 2x (3x^2 + 1) (2x + 5)

Answer:

[tex]B=3[/tex]

Step-by-step explanation:

We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].

Let us factor our given expression to answer the given problem.

Factor out [tex]2x[/tex] from all terms:

[tex]2x(6x^3+15x^2+2x+5)[/tex]

Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:

[tex]2x((6x^3+15x^2)+(2x+5))[/tex]

[tex]2x((6x^3+15x^2)+(2x+5))[/tex]

Factor out [tex]3x^2[/tex] from 1st group:

[tex]2x((3x^2(2x+5))+(2x+5))[/tex]

[tex]2x(3x^2+1)(2x+5)[/tex]

Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].

Therefore, the value of B is 3.

Determine the rate of change from the table of solutions.
Determine the y-intercept from the table.
Write the equation of the line.

x y
--------------------
-3 10
-2 7
-1 4
0 1
1 -2
2 -5

Please Help!!
Show your work please!
Will give brainliest!!

Answers

Pick two points at random so we can find the slope. I picked (0, 1) and (- 1, 4)

Slope = [tex] \frac{Y2 - Y1}{X2 - X1} [/tex]

(4 - 1) / (- 1 - 0)
3 / - 1
- 3 is the slope.

Now plug this into slope-intercept form y = mx + b

y = - 3x + b

Use either of the points to find the b variable

1 = - 3(0) + b
1 = 0 + b
1 = b

Your equation is y = - 3x + 1

Rate of change is the same as slope so your rate of change is - 3. 

The y-intercept is the "b" in slope-intercept form so your y-int is 1. 

The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?

Answers

The Answer is. $11.67
Final answer:

To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.

Explanation:

The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.

The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:
$411.11 - $399.44 = $11.67

So, Jay's weekly pay is $11.67 over the average.

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Consider a cylinder with radius 6 cm and a height of 11.5 cm. Describe how to calculate the surface area of the given cylinder and what the surface area means.

Answers

Surface area is area you get from a shapes net.
A net is an unfolded 3d shape.
To find the surface area you use the equation [tex]A= 2x \pi r h + 2 \pi r^{2} [/tex]
For this cylinder, the answer would be around 659.73

Surface area is the area you get from a shape's net.


A net is an unfolded 3rd shape.


To find the surface area you use the equation A = 2xπrh + 2πr²


The answer would be 659.73 cm²




Hope this helps have a wonderful day!

A number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes . What is the experimental probability of rolling a 2 or a 3 ?

1. 0.16
2. 0.22
3. 0.37
4. 0.78

Answers

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9 = 0.22 (nearest hundredth)

Answer: 0.22

The experimental probability of rolling a 2 or a 3 would be 0.22

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9

P(2 or 3) = 0.22 (nearest hundredth)

The answer is: 0.22

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Which of these expressions represent the sum of 3 and n?

Answers

Don't really need to post the options to know what the expression(s) should look like. 

"Sum of" tells you its addition and because it's addition the order of the two terms (the 3 and the N) don't matter. 

Your correct expressions are:

3 + n
or 
n + 3

If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall? feet.

Answers

let b bricks:

b= 400, let  H height and l length

Area = 81*31 or 6.75*2.58 = 17.44 ft²

b(17.44ft²)=Hl

400(17.44 ft²) =42 l

l= 6975/42 = 166.07 

so the length of the wall is 166 ft approximately as a whole number




what would be the cross section from a vertical slice of a hexagonal pyramid

Answers

A cross section is the shape you see when you make one slice through a solid. A solid can have many different cross sections depending on where you make the slice. Consider the following hexagonal pyramid. Cross sections perpendicular to the base and through the vertex will be triangles.


Hope this helps!! - xeyaba
A cross section is the 2D shape that is formed when a 3D object is cut, or sliced. If you cut a hexagonal prism vertically, the face of the side that is cut will form a rectangle.

George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?

Answers

There are two ways to calculate his new pay. Choose whichever is easier for you.

OPTION 1:
multiply current pay by 20%, then add the result to the current pay

Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase

Step 2:
add pay increase from step 1 to current pay rate

=$455 + $91
=$546 new weekly rate


OPTION 2:
multiply current pay by (1 + 20%)

=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate


ANSWER: His new weekly rate is $546 per week.

Hope this helps! :)

A basket is filled with white eggs and brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg? Write your answer as a fraction in simplest form.

Answers

Final answer:

The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.

Explanation:

In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).

For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.

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given the equation (x+a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} [/tex]

Solve for b by simplifying both sides of the equation then isolating the variabel.

[tex]b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} } [/tex]

Hopefully i helped ^.^ Mark brainly if possible 
 

Consider the attached diagram if the box weighs 100 N in what direction is the support force
A) up
B) down
C) left
D) right

Answers

The support force would be A) up.

There needs to be an equal amt of force exerted on the box from the bottom so that the box won't crash through the ground and into space. It needs to be kept on the ground by a force exerting upwards as gravity pulls it down.

What is the value of x?

Enter your answer in the box.

x =

Answers

Hello!

A straight line measures to 180°

The angle that measures 134 and x make a straight line

180 = 134 + x

Subtract 134 from both sides

46 = x

The answer is 46°

Hope this helps!
Adjacent angles on a straight line sum up to 180.

x = 180 - 134 = 46°

Answer: 46°

Solve for r.
k=ar/p

a r=ka/p
b r=kap
c r=kp/a
d r=a/kp

Answers

solve for r by simplifying both sides of the equation, then isolating the variable.
[tex]r= \frac{kp}{a} [/tex]

hopefully i was of help, please mark brainly is possible

PLX HELP! Need this ASAP! Thx

One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

Answers

Same side angles together form angle with measure 180^{0}. Let x be a measure of smaller angle, then x+20^{0} is measure of bigger angle.
x+x+20^{0}=180^{0}
2x=160^{0}
x=80^{0}.
So measure of smaller angle is 80^{0} and measure of bigger angle is x+20^{0}=80^{0}+20^{0}=100^{0}.

Answer:

80° and 100 °

Step-by-step explanation:

The total of the two angles is 180°, and one angle is 20° smaller than the other, so the equation would be x+x-20°=180°, then all you need to do is find x, and x-20°.

DONT FORGET TO WRITE THE DEGREE SYMBOL OR IT WILL BE COUNTED AS INCORRECT!!!

-Char-

a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in

Answers

one hundred and four

I know how to solve number 4 but I’m having a hard time with 1,2,3,5,6

Answers

  Part 1)
angle b=112-------> by vertical angles
angle a+112=180-----> supplementary angles
angle a==180-112----> angle a=68
angle c=angle a-----> by vertical angles
angle c=68

the answer part 1) is

angle a=68°
angle b=112°
angle c=68°

part 2)
angle a+15+38=180-----> angle a=180-(15+38)----> angle a=127

the answer part 2) is
angle a=127°

part 3)
angle b=40-----> by vertical angles
angle d=70-----> by vertical angles
2*angle x+40+angle d=180----> 2*angle x=180-(40+70)
2*angle x=70------> angle x=35   
angle a=angle x-----> by vertical angles
angle a=35
angle c=angle x-----> by vertical angles
angle c=35

the answer part 3) is
angle a=35°
angle b=40°
angle c=35°
angle d=70°

Part 4)
angle a+70=90------> are complementary angles
angle a=90-70----> angle a=20
angle a+angle b=90----> are complementary angles
angle b=90-angle a----> 90-20-----> angle b=70
angle d=70 ------->  by vertical angles
angle d+angle e=180------>  supplementary angles
angle e=180-angle d----> angle e=180-70----> angle e=110
angle a+angle b+angle c+angle d=180
angle c=180-(20+70+70)----> angle c=20

the answer part 4) is
angle a=20°
angle b=70°
angle c=20°
angle d=70°
angle e=110°

Part 5)
angle a+90=180------> supplementary angles
angle a=180-90----> angle a=90
angle a +angle b=180----> supplementary angles
angle b=180-angle a----> angle b=180-90----> angle b=90
angle e=132-----> by vertical angles
angle d+132=180-----> supplementary angles
angle d=180-132----> angle d=48
angle c+138=180-----> supplementary angles
angle c=180-138----> angle c=42

the answer part 5) is
angle a=90°
angle b=90°
angle c=42°
angle d=48°
angle e=132°

part 6)
angle a+110=180------> supplementary angles
angle a=180-110----> angle a=70
angle c=25-----> by vertical angles
angle b+100+25=180----> angle b=180-(100+25)----> angle b=55

the answer Part 6) is
angle a=70°
angle b=55°
angle c=25°

If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12

Answers

To find f(g(h(x))), we need to find g(h(x)) first. To do that we are going to evaluate the function g(x) at h(x):
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]

Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]

[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]

Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12

Answer:

The degree is 12

Step-by-step explanation:

Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.

Answers

To find the volume, multiply 5/12, 6/5, and 1/2.

5/12 * 6/5 = 30/60.

30/60 * 1/2 = 30/120

If you simplify this you get 1/4. 

The volume of the mailbox is 1/4, or 0.25.

Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. the area of the second garden is twice the area of the first garden. What is the area of the second garden? Ask for details Follow Report by Beatrizsalazar 28.02.2018

Answers

The area of the second garden is 96 square feet.

Let's denote the length of the second garden as l (since it's half the length of the first garden) and the width of the second garden as w.

Given:

Length of the first garden [tex](\(L_1\))[/tex]= 8 feet

Width of the first garden [tex](\(W_1\))[/tex] = 6 feet

Length of the second garden [tex](\(l\)) = \(L_1/2\) = \(8/2 = 4\)[/tex]  feet

Area of the first garden [tex](\(A_1\)) = \(L_1 \times W_1\) = \(8 \times 6 = 48\)[/tex] square feet

We are given that the area of the second garden [tex](\(A_2\))[/tex] is twice the area of the first garden:

[tex]\[A_2 = 2 \times A_1 = 2 \times 48 = 96\][/tex] square feet

what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38

Equation needed too!

Answers

The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.

The equation is:

(52367 - 21458) / (47633 + 21458) = 17/38

To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.

Let's call this number x.

Step 1: Subtract x from the numerator and add x to the denominator.

(52367 - x) / (47633 + x)

Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.

(52367 - x) / (47633 + x) = 17/38

(52367 - x) × 38 = 17 × (47633 + x)

Step 3: Solve for x.

1,990,946 - 38x = 810,761 + 17x

1,180,185 = 55x

x = 21,458

Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.

The equation representing this process is:

(52367 - 21458) / (47633 + 21458) = 17/38

Please help is the answers is 6

Answers

The answer is A. Multiply by 3

please help me with this math question

Answers

If the two rectangles are similar, their sides must be proportional. We can figure this out by setting up a proportion. We need to make sure to match up the correct sides though. We know the two longer sides must match up, so 6 goes with 60, and 3 goes with 30:

3/6=30/60

If we reduce the fractions, we get:

1/2=1/2

Therefore, the rectangles are similar. One of them is just rotated.

Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?

Answers

Answer:

The z-score of 90 is 1.35

Step-by-step explanation:

The z-score is calculated using the formula:

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

From the question, it was given that the mean is

[tex] \mu = 61.2[/tex]

and the standard deviation is

[tex] \sigma = 21.4[/tex]

and x=90.

We substitute the given values to obtain:

[tex]z = \frac{90 - 61.2}{21.4} [/tex]

[tex]z = \frac{28.8}{21.4} = 1.35[/tex]

Answer:

1.35

Step-by-step explanation:

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