How did Alexander Grothendieck affect other mathematicians 100 points

Answers

Answer 1

Answer:

Grothendieck used his remarkable capacity for abstract thinking to make advances across the entire spectrum of mathematics. He developed unifying concepts that could be applied to a variety of avenues of mathematical thought, including number theory, category theory, functional analysis and topology

Step-by-step explanation:


Related Questions

The study of ___ is called kinematic.

Answers

Answer:

motion without regard to the forces or energies that may be involved

Step-by-step explanation:

Answer:

The study of motion is called kinematic

A right triangle has a height of 27 inches
and a base of 30 inches. What is the area
of the triangle?

Answers

Answer:

405 [tex]inches^{2}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] Base * Height

[tex]\frac{1}{2}[/tex] * 30* 27 = 405 [tex]inches^{2}[/tex]

405 In^2

The formula for area of a triangle is 1/2Bh. One half of the area of the base times height, because base times height is a square and triangles are half a square. Let's solve for the area now.

A=1/2Bh

Plug in our information

A=1/2(30)(27)

Multiply parentheses.

A=1/2(810)

Multiply by 1/2 or divide by two.

A=405


The area of the triangle is 405 inches squared.

Which relation is not a function?

Answers

Answer:

First one

Step-by-step explanation:

Answer:

A. {(9,3),(5,16),(6,8),(9,10),(11,13),(1,7)}

Explanation:

The first option is not a function because a single x-value cannot pair up to more than one y-value. We can see this occur in the ordered pairs below.

(9,3),(9,10)

What is the explicit rule that describes the arithmetic sequence shown in the graph
• an= 50+ (n-1) 150
• an= 50+ (n+1) 150
• an= 150+ (n-1) 50
• an= 150+ (n+1) 50

Answers

Answer:

an= 50+ (n-1) 150

Step-by-step explanation:

The second question:

The video game has 24 levels in all. If the pattern shown in the graph continues, how many points would a player get for finding the hidden door on the twenty-fourth level?

3500 points*

The explicit rule that describes the arithmetic sequence will be aₙ = 50 + (n - 1) · 150. Then the correct option is A.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 50 and the common difference is given as,

d = 200 - 50

d = 150

Then the arithmetic sequence is given as,

aₙ = 50 + (n - 1) · 150

The explicit rule that describes the arithmetic sequence will be aₙ = 50 + (n - 1) · 150. Then the correct option is A.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

the bakers at healthy bakery can make 280 bagels in 2 hours. how many bagels can they make in 15 hours? what was the rate per hour?

Answers

Answer:

In 15 hrs they will make 2100 bagels

Step-by-step explanation:

Step one :

Given that it takes

2hrs to make 280 bagel

Hence in

15 hrs they will make x bagels

by cross multiplication

x= (280*15)/2

x= 4200/2=2100 bagels

x= 2100

Three pounds of peanuts cost $15.00. How many pounds can you buy for $45.00

Answers

15 divided by 3 equals 5
45 divided by 5 equals 9
so the answer is 9 pounds

do the ratios 9/6 and 2/1 form a proportion

Answers

Answer:

This is not a proportion

Step-by-step explanation:

Set up a proportion

9/6 = 2/1

Check with cross products

9*1 = 6*2

9 = 12

This is not true so they are not proportional

What is the difference in the Volume Formula for a prism and a pyramid. *

Answers

Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.

Step-by-step explanation:

i hope this helps

Consider the exponential function
4). What is the value of the growth factor of the function?
COŚ

A. 1/5

B. 1/3

C.5

D.15

Answers

This correct answer is D

find the value of X​

Answers

Answer:

[tex]x=\sqrt{55}[/tex] (B.)

Step-by-step explanation:

Equation:

[tex]a^{2} +b^{2} = c^{2}[/tex]

[tex](3^{2} )+(x^{2})=(8^{2})[/tex]

[tex]9+x^{2} =64[/tex]

[tex]x^{2} = 55[/tex]

[tex]\sqrt{x^{2} } =\sqrt{55}[/tex]

[tex]x=\sqrt{55}[/tex]

A right triangle has a hight of 13 cm and a base of 16.4 cm what is the area of the triangle

Answers

Answer:

It would be 213.2

Step-by-step explanation: You multiply 13 and 16.4 to find the area. Let me know if im wrong.

Answer:

106.6 cm

Step-by-step explanation:

I multiplied the two given values and using the formula A=1/2bh I then multiplied it by 1/2 and got 106.6. Hope this helps! If you are still confused, please comment!

Inequality stuff... look at image for the question. An explanation would also be nice, but you can comment it along with the answer.

Will give Brainliest for the correct answer! :]

Answers

Answer:

x>-8

Step-by-step explanation:

When you multiply (or divide) both sides of an inequality by a negative number (in this case -1), you need to flip the inequality symbol. For instance in this case, -x<8 is the same as x>-8. This is because you know that if -x is less than 8, if x is less than -8 then the inequality wouldn't be true any longer. This can be demonstrated with an example: Say that x is -10. -(-10) is 10, and no longer smaller than 8. Therefore, x>-8. Hope this helps!

Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x y −2 4 −1 3 0 2 1 1 2 2 3 3 4 4 Which function has the smallest minimum?

Answers

Answer:

All three functions have the same minimum

Step-by-step explanation:

Answer:

All three functions have the same minimum

Step-by-step explanation:

I'm taking the test


What is the slope of the linear function represented in the table?
A. -7
B.-1/7
C.1/7
D. 7

Answers

Answer:

1/7

Step-by-step explanation:

We can find the slope by

m =(y2-y1)/(x2-x1)

   =(1-0)/(0- -7)

   (1-0)/(0+7)

    1/7

What’s the diameter of circle 0?

Answers

Answer:

AC

Step-by-step explanation:

A diameter is a straight line passing through the center of the circle.  O is the center of the circle and AC is passing through O.

Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a radius of 5 cm and a slant height of 10 cm. One location wants to offer the cones a weekend earlier, so they plan to make the cone-shaped wrappers for first 25 waffle cones sold that Saturday. About how many square cm of wrapper paper will they need?

Answers

Answer:

3927 square cm

Step-by-step explanation:

We want to find the area of the lateral part of the cone with radius 5 and slant height 10. The equation needed is: L = πrl, where r is the radius and l is the slant height. Plug the given values in:

L = πrl

L = π * 5 * 10 = 50π square cm

We want 25 of these, so multiply 50π by 25:

50π * 25 ≈ 3926.99 square cm ≈ 3927 square cm

Answer:

3,925 cm²

Step-by-step explanation:

Wrapper area is equal to the surface area

Curved surface area of one cone:

(pi × r × s)

3.14 × 5 × 10

157

For 25 cones:

25 × 157

3925 cm²

hELP MEEEE PLEASE ;C

Answers

i think the answer is y=3x
I got y= 3x because from the origin you go up three and over one, and the y- intercept in 0 so I don’t think you put anything there

Wtjdjdjwjengndjsjsjsndn

Answers

Answer:

median

Step-by-step explanation:

Sharon graphed the formula for converting weight from kilograms to pounds.

A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
A. 20
B.63
C.90
D. 99

Answers

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

On x-axis ⇒ 33 pounds = 15 kilograms

On y-axis ⇒ 88 pounds = 40 kilograms.

Find:

45 kilograms in pounds = ?

Computation:

On x-axis

Weight in pounds = (33 pounds / 15 kilograms)45 kilograms

Weight in pounds = 99 pound

On x-axis

Weight in pounds = (88 pounds / 40 kilograms)45 kilograms

Weight in pounds = 99 pound

Answer:

d or 99

Step-by-step explanation:

i got a 100

Drag and drop the answer into the box to match each multiplication problem.

Answers

Answer:

The first one is 38. Second one is 38,000. Third one is 3.8

Step-by-step explanation:

They are all powers of 10 (10, 100, 1000 etc) each time adding an extra 0. Just move the decimal point over to the right depending on how many 0's the number has. This only works for power of 10s.

A right triangle has legs that both measure 14 inches. What is the length of its hypotenuse to the nearest whole number?

5 inches
19 inches
20 inches
28 inches

Answers

20 inches!! a^2+b^2=c^2
14^2+14^2=392
square root of 392 is 19.79, round up and you got 20 inches

So, to find this answer, we want to use Pythagorean Theorem!

The formula for this theorem is: a²+b²=c².

· It's important to note that is always your hypotenuse, while a and b are your legs.

So, all we need to do is (1) plug in our values, (2) square them, (3) isolate them, and (4) find the square root of our final number!  

--------------------------------------------------------------------------------------------------------------

14²+14²=c²

14² = 196

We want to isolate our C, but we can't do that with the squared symbol, so in order to remove a squared symbol, we need to square root both sides.

196 = c²

√196 = 14

C = 14

There are 12 inches in one foot and 3 feet in one yard. How many inches are in 2 yards

Answers

One Foot: 12 inches

One Yard: 3 Feet

3 x 12 = 36 inchest

One Yard: 36 inches

36 x 2 = 72

Therefore there are 72 inches in 2 yards.

There is 36 inches in one yard. If you multiply that by two you get 72. There is your answer.

The cargo loads that Niels transports in his truck have a mean weight of 42,000 lb with a standard
deviation of 1,500 lb.
What will be the mean and standard deviation of the distribution of weights in kilograms?
1 lb approximately equals 0.45 kg.
Choose 1 answer:
A-Mean: 18,900 kg
Standard deviation: 675 kg
B-Mean: 18,900 kg
Standard deviation: 1,500 kg
C-Mean: 42,000 kg
Standard deviation: 675 kg
D-Mean: 42,000 kg
Standard deviation: 1,500 kg

Answers

Answer:A

Step-by-step explanation:multiply 42,000x0.45 and 1,500x0.45!

Final answer:

The mean weight of Niels' cargo loads in kilograms is 18,900 kg and the standard deviation is 675 kg, making the correct answer A.

Explanation:

To convert Niels' cargo loads from pounds to kilograms, we multiply the mean weight and the standard deviation by the conversion factor of 0.45 kg/lb.

The mean weight in kilograms is calculated as follows:

Mean (kg) = 42,000 lb × 0.45 kg/lb = 18,900 kg

The standard deviation in kilograms is calculated as follows:

Standard deviation (kg) = 1,500 lb × 0.45 kg/lb = 675 kg

Therefore, the correct answer is A: Mean: 18,900 kg, Standard deviation: 675 kg.

This is urgent, please answer!

Two prisms are shown below.

Which statements about the volumes of the prisms are true? Choose all that apply. I’m

Answers

I think it is B and E

someone pls help me with this

Answers

Answer:

0.75 packs of paper

Step-by-step explanation:

9 packs of paper divided evenly to 12 students:

9 divided by 12 = .75

Hope this helps!!

help please.....A carton holds 42 erasers. Each eraser weighs 3.6 ounces. What is the total weight of the carton?

Answers

Answer:

151.2 ounces

Step-by-step explanation:

You multiply 42 and 3.6

Answer:

151.2 ounces, which is 9.45 pounds.

Step-by-step explanation:

multiply 42 times 3.6

Consider the equation y=3x-1. Identify the slope and y-intercept and sketch the graph if you can.

Answers

Answer:

Slope: 3, Y-intercept: -1

Step-by-step explanation:

Remember, the slope is always the number before x in this kind of form. The Y-intercept is when x is 0, so when x = 0, y = -1, and that is the Y-intercept

A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x,y).
Enter the answer

Answers

Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.

We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be [tex]125x[/tex].

The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be [tex]250y[/tex].

We have been given that one day the spa had 27 customers. We can represent this information in an equation as:

[tex]x+y=27...(1)[/tex]

[tex]y=27-x...(1)[/tex]

Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:

[tex]125x+250y=5250...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]125x+250(27-x)=5250[/tex]

Let us solve for x.

[tex]125x+6750-250x=5250[/tex]

[tex]-125x+6750=5250[/tex]

[tex]-125x+6750-6750=5250-6750[/tex]

[tex]-125x=-1500[/tex]

[tex]\frac{-125x}{-125}=\frac{-1500}{-125}[/tex]

[tex]x=12[/tex]

Upon substituting [tex]x=12[/tex] in equation (1), we will get:

[tex]y=27-12=15[/tex]

Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage  packages that is [tex](12,15)[/tex].

A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.

Answers

Final answer:

The radius of the base of the vase is 19.5 cm.

Explanation:

To find the radius of the base of the vase, we can use the formula for pressure: pressure = force/area. In this case, the force exerted by the vase on the table is 15 N and the pressure is 700 N/m². Let's assume the base of the vase is a circle. The area of a circle is given by the formula A = π r², where r is the radius of the circle.

So, we can rearrange the formula for pressure to solve for the radius:

r = √(force/pressure) = √(15 N / 700 N/m²) = 0.195 meters.

To convert the radius from meters to centimeters, we multiply by 100: 0.195 meters * 100 = 19.5 centimeters. Hence, the radius of the base of the vase is 19.5 cm.

Final answer:

By applying the pressure formula and solving for the radius, the calculated radius of the base of the vase comes out to be approximately 8.26 cm to two decimal places.

Explanation:

To find the radius of the base of the vase, we need to use the formula for pressure, which is pressure (P) equals force (F) divided by area (A). The formula can be expressed as:

P = F / A

We have been given the pressure and the force, and the area of a circle is equal to π × radius^2 (πr^2). By substituting the known values into the pressure formula and solving for the radius, we get:

700 N/m2 = 15 N / (πr^2)

r^2 = 15 N / (700 N/m^2 × π)

r = √(15 / (700 × π))

Now, calculate the numerical value of the radius:

r = √(15 / (700 × 3.14159))

r ≈ √(0.0068194)

r ≈ 0.082595 cm

To present our answer in centimeters to two decimal places:

r ≈ 8.26 cm

25x^2-16=25x2-16 completely factor

Answers

if you were to factor 25x^2-16 that would equal (5x-4)(5x+4)

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