the definite integral is how obtain and the symbol of integral

Answers

Answer 1

Answer:

Symbol for definite integralThe ∫ symbol is called an integral sign; it's an elongated letter S, standing for sum. (The ∫ is actually the Σ from the Riemann sum, written in Roman letters instead of Greek letters.) The dx on the end must be included; you can think of∫ and dx as left and right parentheses.


Related Questions

HELP PLEASE! Find the area of the figure.

Answers

Answer: 36 square units.

Step-by-step explanation:

First, you can separate the figure into a 4x6 rectangle and a 6x4 isosceles triangle. You can find the area of the rectangle by using the rectangle area formula, A = l x w .

4 x 6 = 24 units

Then, to find the area of the triangle, you can use the triangle area formula, A = [tex]\frac{1}{2}[/tex] b x h .

1/2 x 4 x 6 = 12 units

Finally, you can simply add 24 + 12 to get the total area of 36 units. Since the area is the measure found, you would use the square symbol (²) at the end of the units:

36 units²

I hope this helps!

what is the gift for 24+3d?​

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The gift would be $27 dollar

4. Find the volume of the rectangular prism.
16 cm
6 cm
12 cm

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Answer:

1152

Step-by-step explanation:

Look at the picture I put in

I need help in this question!!

Answers

Answer:

1st, 4th , 5th

Step-by-step explanation:

Multiplying any number by a proper fraction gives a value that is less than the original number.

From the list this applies to

1st , 4th and 5th options

Evaluate Functions From a Graph

Answers

Answer:

f(-2) = -2

Step-by-step explanation:

Start on the graph at the center, (0,0), right where the x- and y-axis cross.

The numbers on the x-axis are the x's (look left or right) The problem says to find f(-2). This means let x = -2. So skip over to the left to where x = -2, then go down until you run into the curve. You have to look at the y-axis to find the numerical answer.

Here are some other ones on this graph, to see if you can see how this works. **These two -2's are totally different. The answer -2 is not because the problem had a -2 in it.**

other examples on this graph:

f(-1) = -3

f(0) = -2

f(1) = 1

f(-3) = 1

f(-4) = 6

f(2) = 6

Hope this helps!

Obviously, different graphs will give different answers.

54 first-graders and 546 other students attended a school assembly. What percentage of the students at the assembly were first-graders?

Answers

Answer:

9 percent

Step-by-step explanation:

the total students were 600. 5r were first graders. they were both divisible by 6 so i simplified it into 9 first graders for 100 total students. this is then turned into a percentage which was 9 percent.

does this deserve a brainliest ?

There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.

Complete this statement:


The ratio of paws and tails to ears is

to ears is?

Answers

Answer:

The ratio of paws and tails to ears is 5:2

Step-by-step explanation:

First add the amount of paws as tails per cat together to get 5

Then find the amount of ears per cat to get 2.

For every cat, there is a total of 4 paws and 1 tail, to every two cat ears.

therefore, 5:2

5:2

Step-by-step explanation:

Can you help me please?

Answers

Answer:

3 3/5

Step-by-step explanation:

A small restaurant named the Pizza Palace had a food critic try their pizza and wrote them a very, very bad review. The function C=500 x 2/3^m represents the number of customers they have based on the m months since the review came out. Which statement below best describes what the equation tells us. How many customers would the restaurant expect to still have 2 months after the review comes out?

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The statement which describes what the equation tells is; The number of customers they have prior/before the review is; 500 customers.

The number of customers they have 2 months after the review is; 222.22 customers.

Exponential functions

According to the given function;

The intercept of the function represents the number of customers the restaurant has prior to the review.

This means the number of customers they have prior/before the review (at m=0) is; 500 customers.

Additionally, after 2 months of the review;

C = 500 × (2/3)^2

C = 500 × 0.44

C = 222.22 customers

Read more on exponential functions;

https://brainly.com/question/2456547

On a balance scale, five spools and three thimble balance sixteen buttons. Also, three spools balance one thimble and four buttons. How many buttons will balance one thimble?

Answers

Answer:

2 buttons

Step-by-step explanation:

Let s = spool, t = thimble, b = button

5s + 3t = 16b

3s = 1t + 4b

5s + 3t = 16b

3s - t    = 4b

       -15s - 9t = -48b

(+)      15s - 5t = 20b

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

               -14t = -28b

t = 2b

Answer: 2 buttons

Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0.

If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.

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[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &200\\ t=\textit{elapsed time}\dotfill &14325\\ h=\textit{half-life}\dotfill &5730 \end{cases} \\\\\\ A=200\left( \frac{1}{2} \right)^{\frac{14325}{5730}}\implies A=200\left( \frac{1}{2} \right)^{\frac{5}{2}}\implies A\approx 35.36[/tex]

48 is 80% of what amount?

Answers

Answer:

The answer is 60 just divide 80/48.

please help me i cannot figure it out

6z +3 - 2z +5=
this is what i cannot figure out

Answers

Answer:

4z+8

Step-by-step explanation:

combine your like terms

6z-2z=4z

3+5=8

Please help me I’m giving 20 points

Answers

Answer:

The answer is B

Step-by-step explanation:

Find the axis of symmetry

Use the formula -b/2a

2x^2-8x+6

- (-8)/2(2)

8/4

2

The axis of symmetry is at x=2, which means that the vertex is at x=2

Substituting x=2 into the quadratic:

2(2)^2-8(2)+6

2*4-16+6

8-16+6

-2

The vertex is at (2,-2)

The graph where this applies is B.

Therefore, the answer is B.

1) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answers

divide 360 by the number of sides or angles that the polygon has

Change the function f(x) = –2x² + 12x – 6 into vertex form.
A f(x) = -2(x – 3)2 – 24
b f(x) = -2(x - 3)2 – 6
C f(x) = -2(x - 3)2 + 12
D f(x) = -2(x – 36)2 – 30

Answers

Answer:

i think is letter c

i hope is correct

Ferb wanted to measure the height of a tree. They walk exactly 37 feet from the base of the tree and look
up. The angle of elevation from the ground to the top of the tree is 46º. To the nearest whole number, how
tall is the tree?

Answers

96 is the answer to this question

A soccer team is taking 16 people to a match in 4 cars. The owners of the cars drive their own cars, and each takes 3 other players as passengers. In how many ways can this be done? Could you please help me with a step-by-step explanation?

Answers

Answer:

12

Step-by-step explanation:

The numbers of choices for each of B, C, D are independent of the choices the predecessors have made. It is clear where the car's owners will sit, so all we have to care about is where we put the other people. There are 16−4=12 places left in the cars, so there are 12!

there are 37,747,920,000 ways the soccer team can be taken to the match.

Let's break down the problem step by step to calculate the number of ways the soccer team can be taken to the match:

Step 1: Select the drivers for the cars.

There are 4 cars, and the owners of the cars will be the drivers. We need to choose 4 drivers from the 16 people, and this can be done using combinations. The number of ways to choose 4 drivers out of 16 is denoted as C(16, 4), which can be calculated as follows:

C(16, 4) = 16! / (4! * (16-4)!)

C(16, 4) = 16! / (4! * 12!)

C(16, 4) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1)

C(16, 4) = 1820

There are 1820 ways to select 4 drivers for the cars.

Step 2: Assign passengers to the cars.

After selecting the drivers, each driver will take 3 other players as passengers. Since there are 3 passengers for each driver, we can calculate the number of ways to assign passengers to the cars using combinations again.

Number of ways to assign passengers to one car = C(12, 3) = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = 220.

Since there are 4 cars, the total number of ways to assign passengers to the cars is 220^4 = 20,736,000.

Step 3: Combine the driver selection and passenger assignment.

To find the total number of ways the soccer team can be taken to the match, we need to multiply the number of ways to select the drivers (1820) by the number of ways to assign passengers (20,736,000):

Total number of ways = 1820 * 20,736,000 = 37,747,920,000.

So, there are 37,747,920,000 ways the soccer team can be taken to the match.

Learn more about combination here

https://brainly.com/question/12538996

#SPJ2

help me with geometry please

Answers

Answer:

30+25=55°

180-55=125°

x=125°

180-125=55°

y=55°

Answer:

y = 55

solution:

180-30-25=125

180-125=55

WILL GIVE BRAINLY 15 points

Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.



What is the surface area of Sally's game piece?

Answers

Answer:

56

Step-by-step explanation:

What graph represents the function f(x)=-x^2+5

Answers

Answer:

The first graph

Step-by-step explanation:

I also attached a graph

Hope this helps!

HELPP URGENT NEED MY GRADE TO GO UP!!!! PLEASE HELPP!!
Use the graph to predict how many gallons are left in the tank if you drive 150 miles.
About 8
About 10
About 12
About 15

Answers

Answer:

so $90

about 10

The amount of pay received if the sales are $ 150 can read in the graph by first locate 150 in the axis because the x axis represent the sales and the y is pay. After locating go straight up to the line and read its y value and it is about $90

If you drove 150 miles the amount of gallons in the tank is about 11

im sorry if im wrong

Using fraction busting solve for X

1/x² + 1/x = 6/x² ​

Answers

the solution for this question would be. x += 5 hope it helps, and im truly am sorry if its incorrect!

1. What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
-1
3
1
-3
60 points if you give me the answer with an explanation, please!

Answers

Hi!

I can help you with joy!

We are given 2 points: (-2, 3) and (5, 4), so we can easily calculate the slope of this line using this formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{4-(-3)}{5-(-2)}[/tex]

[tex]\displaystyle\frac{4+3}{5+2}[/tex]

[tex]\displaystyle\frac{7}{7}[/tex]

[tex]1[/tex] (Answer)

I hope it helps!

Ask if you have any queries.

~Misty~

[tex]\bf{GracefulTeen[/tex]

Enjoy your day!

3. A square room has a width of 3m. It will be tiled with rectangular tiles 90cm x 20cm
How many tiles will be needed to cover the entire space?

Answers

Step-by-step explanation:

I can't solve this one but I'll leave my comment for your question to reach more people

Answer:

300

Step-by-step explanation:

total entire area 6 * 3* 3 = 54

area of  tiles = 0.90* 0.20 =0.18

so tiles number = 54/0.18 = 300

What is half of 1 ⅔ cups

Answers

Answer:

0.833

Step-by-step explanation:

Because 1 and 2/3=1.666

0.833 x 2=1.666 so that's how it's your answer

Have a great day :}

Pls help I need help

Answers

Answer:

SO THIS IS PRODUCT LAW, IF BASES ARE SAME, WE JUST ADD THE EXPONENTS.

t^x×t²=t¹⁰

t^(2+x)=t¹⁰

2+x=10

x=10-2

x=8

verifying the answer

x=8

t⁸×t²=t¹⁰

8+2=10

10=10

hence correct.

hope it helped.

please pick me brainliest

The number of buttons a machine produces varies directly as the time it is
running. If the machine produces 688 buttons in 12 min, how many would it
produce in 15 min?

Answers

Answer: 860 buttons

Step-by-step explanation: 688/12 = 57.3333333...

                         57.3333... multiplied by 15 is equal to (860 buttons)

PLEASE HURRY AND SOLVE!!!!

Answers

Answer:

The constant of proportionality is 6

Step-by-step explanation:

Recall the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality. If we take any listed coordinate point, we can determine the value of [tex]k[/tex]. I will use (20,120) as an example:

[tex]y=kx\\\\120=k(20)\\\\6=k[/tex]

Therefore, the constant of proportionality is 6

If you place a 28-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the right angle), which is in our case the ladder.

28² = 22² + b²

784 = 484 + b²

b² = 784 - 484 = 300

b (the distance of the ladder from the wall) = 17.32050808... ft ≈ 17.3 ft

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