a metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0<= x <= 3 and the x, y in cm

a) find the total mass of the plate
mass =

b) sketch the plate. using your sketch, is x less than or greater than 3/2?

c) find x
x =

Answers

Answer 1

Answer:

a) 45 g

b) greater (make the graph youself on desmos or something)

c) 9/4

Step-by-step explanation:

area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9

mass = density * area = 5 * 9 = 45 grams

area = y*deltax = x^2*deltax

x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4


Related Questions

Complete the expression so it forms a perfect-square trinomial.

x² +
x + 49

Answers

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Complete the expression so it forms a perfect-square trinomial.

x² +

x + 49

Answer:

The answer is 14

Step-by-step explanation:

on edge 2020.

Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6​

Answers

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

PLEASE HELP IM BEGGING YOU!!
FIND THE VALUE OF X

Answers

x = 18.8 bc that’s the only thing that makes sense and us lazy people don’t need to work things out

Answer:

12

Step-by-step explanation:

if 8+15 is about the length of the circle, the length is about 23

so 23 - 10 = 13 and the closest number to 13 is 12 so 12 is the answer


What’s the total distance he travels

Answers

Answer:

10

Step-by-step explanation:

find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

c=10

hope this helped... if it did, please let me know by marking me the brainliest:))

Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.

What is the area of a picture with side lengths that are 12 inches? Use the formula A= s^2, where s is the length of one side.
A. 12in.^2
B. 144in.^2
C. 24in.^2
D. 288in.^2

Answers

Answer:

B, 144in.^2 :)

Step-by-step explanation:

The area of a picture with side lengths that are 12 inches is 144 inches²

It should be noted that a square has four sides that are equal. In this case, we've been given the side of one of the lengths to be 12 inches.

Therefore, the square of the sides will be 12 inches multiplied by 12 inches. This will then be:

Area of a square = side ²

Area = 12 inches × 12 inches

Area = 144 inches²

Therefore, the area of a picture with side lengths that are 12 inches is 144 inches ²

Read related link on:

https://brainly.com/question/18190217

4 divided by 1/5 plzzzz helppppppppppppppppppppppppp

Answers

Answer:

the answer is 20

Step-by-step explanation:

Answer:

Your answer is: 20

One of two or more expressions that are multiplied together to get a product.

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

Hope this helped : )

What is 9/7 times -9/5?

Answers

Answer:

- 2 11/35

Step-by-step explanation:

Step 1:

9/7 × - 9/5     Equation

Step 2:

- 81/35      Multiply

Answer:

- 2 11/35       Convert

Hope This Helps :)

Answer:

Step-by-step explanation:

nevermind sry

What is 17/5 as a mixed number in simplest form?​

Answers

Answer:

3 2/5

Step-by-step explanation:

pls pls help pls plz plz

Answers

Answer:

148

Step-by-step explanation:

a/22=74

a=1628

1628/11=148

Answer:

148

Step-by-step explanation:

the # is divided by 22 to get 74, so to know what # is, we need to multiply 22 and 74, which fives you 1,628. Then, you just divide that by 11, which give you 148 :)

for some reason it won't let me type the at symbol

1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____

Answers

Answer:

a) 7.2, -7.2, 7.2

b) -3.5, 3.5, 3.5

c) 5 1/2, -5 1/2, 5 1/2

Step-by-step explanation:

The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.

Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)

a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)

Answers

Answer:

A

Step-by-step explanation:

i am smart

I have done this for a million times and I always get this one wrong I need the correct answer

Answers

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100

The answer to this is A, B, D.

The jogging track at Francine's school is 3/4 mile long. Yesterday Francine completed two laps on the track. If she ran 1/3 of the distance and walked the remainder of the way, how far did she walk?

Answers

3/4 of a mile is 0.75mi. Two laps would be 0.50mi. 1/3=0.33mi
0.50-0.33=0.17
Francine walked 0.17mi

A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
What is the percent change in the amount the group raised?
bo

Answers

% change = (new value - old value)/old valu x 100 = (1,045 - 950)/950 x 100 = 95/950 x 100 = 0.1 x 100 = 10%

Answer:

10% (if this is helpful please brainlist!!!)

Step-by-step explanation/proof:

Consider the statement “Worldwide, there are more than $2.5 trillion in credit card transactions annually.”

What is the daily average dollar amount of transactions? Round to the nearest hundred million dollars.

Answers

Answer:

3 trillion

Step-by-step explanation:

because just do the math bu bl I really dk

Lillian read 2 books in 3 months. What was her rate of reading, in books per month? Give your answer as a whole number/ a fraction in simplest form

Answers

Answer: 2/3

Step-by-step explanation:

Books per month is books divided by months

she read 2 books in 3 months, so divide 2/3

2/3 is your answer

Fraction in simplest form is  [tex]\frac{2}{3}[/tex] .

Given Lillian read 2 books in 3 months.

So, He read books in one month is  [tex]\frac{2}{3}[/tex].

Hence Lillian reads  [tex]\frac{2}{3}[/tex] books per month.

For more details on unitary method follow the link:

https://brainly.com/question/12116123?

Evalute the function when x = -2
f(x)=11- 3x

Please help I’m confused by the whole concept

Answers

Answer:

f(-2)=17

Step-by-step explanation:

Anywhere you see x replace it with -2

f(-2) = 11 - 3 (-2)

f(-2) = 11 + 6

f(-2) = 17

Solve for x.
6x
(2x + 12)

Answers

It’s a straight line, and a straight line equals 180° so it would be:
180=6x+2x+12
180=8x+12
subtract 12 from both sides
168=8x
divide both sides by 8
21=x
the answer is 21 which is the second choice

Find −6 3/8−1/4. Write your answer as a mixed number in simplest for

Answers

Answer:

Usually, a mixed number is the simplest way to express an improper fraction – but sometimes, the fraction ... Don't express the answer as a decimal. Instead ... So, add the whole number back in to get a final result of 6 1/2. ... Write out the factors for the numerator of your fraction, then write out the factors for the denominator.

Step-by-step explanation:

Answer:

mixed number is a number consisting of a whole number and a proper fraction.

Below are examples of mixed numbers:

4\dfrac12, 1\dfrac38, 12\dfrac564

2

1

,1

8

3

,12

6

5

Step-by-step explanation:

make me as brain liest

What is the y-intercept of the function f(x) =-2/9x + 1/3?
-2/9
-1/3
1/3
2/9

Answers

Answer:

1/3 is the y-intercept of the function

1/3 is the y-intercept

Simplify. 863x14y9−−−−−−√

Answers

Answer: 1

Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1

If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?

Answers

Answer:

t = 11.45 years

Step-by-step explanation:

A = p(1+r/n)^nt

A = future value = $12000

P = present value = $6000

n = number of periods = 4

r = interest rate = 6.1% = 0.061

t = number of years = ?

t = log(A/P) / n[log(1 + r/n)]

= log(12000/6000) / 4[log(1+0.061/4)]

= log(2) / 4[log(1 + 0.01525)]

= 0.3010 / 4[log(1.01525)]

= 0.3010 / 4(0.00657)

= 0.3010 / 0.02628

= 11.45 years

The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.
C(x)= 64,000 + 45x and R(x) = 49x
a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
b. Find the company's profit if 24,000 radios are produced and sold.
a. The company's profit function is P(x) =
(Simplify your answer.)

Answers

I think the answer is A

if a car travels 400 meters in 20.5 seconds how fast is it going

Answers

Answer:

The car is going 43.6475 mph

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hold up i know the answer.

Step-by-step explanation:

What number when divided by 10 to the second power yields a quotient of 0.1?

Answers

Answer:

1

Step-by-step explanation:

1 ÷ 10 = 0.1

hope this helped

俄國採購總共工作有關廣告㷣菇菇過各式各樣奴

7/10;1/3;5/6 ayuda es de matemáticas

Answers

Answer:

0.7 1/3 0.8333 repeating yo no hablo espanol

Step-by-step explanation:

7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating

A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?

Answers

Answer:

1.5 miles

Step-by-step explanation:

.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour

What is the slope of the line through points (8, -3) and (2, 1)?

Answers

Answer:

2/3

Step-by-step explanation:

1--3/2-8

=4/6

=2/3

What is the factored form of this expression?
-9x^3 - 12x^2 - 4x

A. x(3x - 2)(3x + 2)

B. -x(3x + 2)^2

C. x(3x - 2)^2

D. -x(3x - 2)(3x + 2)

Answers

Answer:

B

Step-by-step explanation:

Given

- 9x³ - 12x² - 4x ← factor out - x from each term

= - x(9x² + 12x + 4) ← perfect square

= - x(3x + 2)(3x + 2)

= - x(3x + 2)² → B

-9x^3-12x^2-4x

Factor out -x from the expression

-x×(9x^2+12x+4)

Using a^2+2ab+b^2=(a+b)^2 Factor the expression

-x×(3x+2)^2

now we do the same thing only different way ok

9x^2+12x+4

write the number in the exponential form with an exponent of 2

3^2 x^2+12x+4

write the expression as a product with the Factors 3x and 2

3^2 x^2 +2×3x×2+4

write the number in the exponential form with an exponent of 2

3^2 x^2+2×3x×2+2^2

Multiply the terms with equal exponents by multiplying their bases

(3x)^2+2×3x×2+2^2

Using a^2+2ab+b^2=(a+b)^2 Factor the expression

(3x+2)^2

Solution: -x×(3x+2)^2

answer:B

PLEASE MARK ME AS BRAINLIEST

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