1 liter is equivalent to a volume of 1000 cm3 (the same as 10 cm x 10 cm x 10 cm). If a beaker has a cross-section the size of the circle below, and a height of 10 cm, what is its volume

Answers

Answer 1

Answer:

[tex]Volume = \frac{220}{7}r^2[/tex]

Step-by-step explanation:

Given

Height = 10cm

See Attachment for complete question

Required

Determine the volume of the circle

The volume is calculated as thus;

[tex]Volume = \pi r^2h[/tex]

Take [tex]\pi[/tex] as [tex]\frac{22}{7}[/tex]

So; Volume becomes

[tex]Volume = \frac{22}{7} * r^2 * h[/tex]

Substitute 10 for h

[tex]Volume = \frac{22}{7} * r^2 * 10[/tex]

[tex]Volume = \frac{220}{7} * r^2[/tex]

Since, the value of the radius is not given;

The volume of the circle is:

[tex]Volume = \frac{220}{7}r^2[/tex]

1 Liter Is Equivalent To A Volume Of 1000 Cm3 (the Same As 10 Cm X 10 Cm X 10 Cm). If A Beaker Has A

Related Questions

Which expression is a factor of 21x2 + 13x – 20?
A. 3x – 4
B. 7x - 5
C. 7x + 4
D. 3x + 5

Answers

Answer:c

Step-by-step explanation:

7x - 5 is the factor of 21x²+13x-2.Option B is correct.

What is the equation?

An equation is a statement indicating the equality of two expressions that contain variables and/or numbers. In essence, equations are questions, and the pursuit of methodically resolving these questions has been the impetus for the development of mathematics.

It is given that, the expression is 21x²+13x-2.

We have to find the factor of the expression.

Algebraic expression factorization is the process of identifying two or more expressions whose product equals the given expression. Algebraic expression factorization is hence the multiplication procedure in reverse.

[tex]=21x^2+13x-20 \\\\ =\left(21x^2-15x\right)+\left(28x-20\right) \\\\ =3x\left(7x-5\right)+4\left(7x-5\right) \\\\ =\left(7x-5\right)\left(3x+4\right)[/tex]

The factors of the expression are (7x-5) and (3x-4).

Thu option B is correct.

Learn more about the equation here,

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Under which conditions does the commutative property apply to compositions of f(x) and g(x)? A- When they are inverse functions B- when they are equal for at least one value of x C- when they are equal for all values of x D- when they are not inverse functions

Answers

Answer:

  A- When they are inverse functions

  C- when they are equal for all values of x

Step-by-step explanation:

The order of function application in a composition can be reversed if ...

the functions are inverses of each otherthe functions are identical (equal for all values of x)

_____

In the first case, the composition gives an output equal to its input for the functions in either order.

In the second case, you cannot tell the functions apart, since they produce the same output for the same input. Hence, you can't tell if they are reordered or not.


The absolute value of some number x is 17, and the number y is 23. How much is
sum x + y? How many different results do you get?

Answers

Answer:

we get only one solution that is 23 + 17 = 40

Hope it helps

Find the solution for the following: Three backpackers cooked rice for dinner. The first one gave 400g of rice and the second 200g of rice. The third one did not have any rice so he gave $6 to the other two. How should they divide the $6 in a fair way ( assume they equally shared the dinner) ?

Answers

Answer:

First backpacker should receive $4 and the second one $2

Step-by-step explanation:

notice that the total amount of rice for the three is 600 g.

Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3

The second one contributed 200 out of 600, that is 200/600 = 1/3

then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4

and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2

Help with algebra homework please...with work shown to explain

Answers

Answer:

C: -3/7

Step-by-step explanation:

Put an extended line over each direct point you see and then count the graph it takes to reach the nearest point.

Here is a picture to better explain it!

A: if i’m not correct, it looks like ur looking for slope. if so, c

explanation: slope is as follows: rise/run.
this slope is negative, because it is going down [think abt it like this, if you place a skier on this line, will he ski up or down?].

to find slope you can use the equation y2-y1/ x2-x1 = slope (m)

select 2 pairs of points. i chose (-4,-1) and ( 3,-4). because the point form is (x,y) my x1 = -4, y1 = -1 and x2 = 3, y2= -4.

let’s plug them into the equation above: -4 - (-1) / 3- (-4) = m

solve: -4 + 1/ 3+4 = -3/7

m= -3/7 or C

Assume the triangle has given measurements. solve for the remaining sides and angles.

Answers

Answer:

Step-by-step explanation:

You can  calculate the length of side a using the Cosine Rule:

a^2 = 32.6^2 + 41.4^2 - 2.32.6.42.4 cos pi/6

a^2 = 456.01

a = √456.01

a = 21.35

By the Sine Rule:

32.6 / sin B = 21.35 / sin pi/6

sin B =  (32.6 * sin pi/6) / 21.35

sin B = 0.76347

B = 0.869 radians.

C = pi - pi/6 - 0.869 = 1.749 radians.

Find the distance between the pair of points and then round your answer to the nearest tenth.
(-4,5) and (4.0)
d=(22 – 21) + (92 – 41)?

Answers

Answer:

[tex] d = 9.4 units [/tex] (nearest tenth)

Step-by-step explanation:

Given the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], distance between (-4, 5) and (4, 0) is calculated as follows:

Let [tex] (-4, 5) = (x_1, y_1) [/tex]

[tex] (4, 0) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(4 - (-4))^2 + (0 - 5)^2} [/tex]

[tex] d = \sqrt{(8)^2 + (- 5)^2} [/tex]

[tex] d = \sqrt{64 + 25} [/tex]

[tex] d = \sqrt{89} [/tex]

[tex] d = 9.4 units [/tex] (nearest tenth)

y = mx + c
5.
Use the grid below to answer these questions.
a) Draw and label the graph of y = 3x + 1.
15
[
10
5
b) Draw a line parallel to y = 3x + 1 and
passing through the point (0, -3).
o
2
3
4
5
c) Write down the equation of this line.​

Answers

Answer:

Step-by-step explanation:

graph cannot be drawed

- 17 RATIONAL OR IRRATIONA ​

Answers

Answer: All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. So its Rational.

:)

Answer:

17 is an irrational number.

Step-by-step explanation:

17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.


You are allowed to multiply as many 2's and/or as many 5's as
you want. What can be the last digit of your result?

Answers

If 5 's multiplied many times then always unit digit will be 5.

If power of 2 is divide by 4 then , if remainder is zero then unit digit will be 6 and if remainder is 1 then unit digit will be 2 , if remainder is 2 then unit digit will be 4 and if remainder is 3 then unit digit will be 8.

First here we analyse when many of 2's is multiplied.

[tex]2^{1} =2\\2^{2} =4\\2^{3}=8\\2^{4} =16\\2^{5} =32\\2^{6}=64[/tex]

Here , we observed that after [tex]2^{4} =16[/tex] , unit digit will be repeat.

So, If power of 2 is divide by 4 then , if remainder is zero then unit digit will be 6 and if remainder is 1 then unit digit will be 2 , if remainder is 2 then unit digit will be 4 and if remainder is 3 then unit digit will be 8.

Now, analyse when many of 5's multiplied.

[tex]5^{1}=5 \\5^{2}=25\\5^{3}=125[/tex]

So, When  5 's multiplied many times then always unit digit will be 5.

Learn more:

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Help me please!!! :(

Answers

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)

How do you do this question?

Answers

Answer:

240 ft

Step-by-step explanation:

When she stops, her velocity is 0.  The first time that happens is at t = 3 minutes.  Her position at that time is equal to the area under the curve.

You can use area of a trapezoid, or you can split the shape into two triangles and a rectangle.  Watch your units!  Speed is given in ft/s, and time is given in minutes.

Using trapezoid area:

A = ½ (1 min + 3 min) (2 ft/s)

A = ½ (60 s + 180 s) (2 ft/s)

A = 240 ft

y+1 = 1/2 (x-6) solve for y in simplest form

Answers

Answer:

  y = 1/2x -4

Step-by-step explanation:

Subtract 1 from both sides of the equation and simplify.

  y = 1/2(x -6) -1

  y = 1/2x -3 -1

  y = 1/2x -4

Answer:

y=1/2x-4

Step-by-step explanation:

y+1=1/2(x-6)

y=1/2(x-6)-1

y=1/2x-6/2-1

y=1/2x-3-1

y=1/2x-4

I need help please no one helps me

Answers

Answer:

the first blank is 9 and the second is 8. when you switch the numbers in the equation the answer will still be the same. hope this was helpful!

Answer:72 is 8 times as many as 9 and 9 times as many as 8

Step-by-step explanation:

what is the answer for -8=-16+n

Answers

Answer:

n=8

Step-by-step explanation:

[tex]-8=-16+n\\\\-8+16=-16+16+n\\\\8=0+n\\\\n=8[/tex]

Answer:

Step-by-step explanation:

-8=-16+n            

-8(+16)=-16(+16)+n    get "n" by itself by adding 16 to both sides.

      negative eight plus sixteen is positive eight. on the right side the sixteens cancel eachother out, so you are left with just "n".  

Therefore...,

8=n

what is a positive and a negative number between 1 and -1 ? ​

Answers

Answer:

The answer is 0

Step-by-step explanation:

It's between -1 and 1 and it's not positive only and it's not negative only

What is the sum of 637,391+372,088

Answers

Answer is:

1009479

Hopes it Helped !!

the result of this problem is 1009.479

Find the midpoint of the segment joining X(5,6) and Y(9,2).

Answers

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is:

[tex]M=(\frac{x_1+x_1}{2},\frac{y_1+y_2}{2})[/tex]

Let (5,6) be x₁ and y₁ and let's let (9,2) be x₂ and y₂. Thus, the midpoint is:

[tex]M=(\frac{5+9}{2},\frac{6+2}{2})[/tex]

Add:

[tex]M=(\frac{14}{2},\frac{8}{2})[/tex]

Divide by 2:

[tex]M=(7,4)[/tex]

So, our midpoint is (7,4).

And we're done!

Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as a comma separated list: r= 7,8 help (numbers) Enter two linearly independent solutions of the form above: y1 = x7 help (formulas) y2 = 48 help (formulas) Now find a solution satisfying the initial values y(1) = 4, y'(1) = 3: y= 29x? – 25,28 help (formulas)

Answers

I bet the ODE is supposed to read

[tex]x^2y''-14xy'+56y=0[/tex]

Then if [tex]y=x^r[/tex], we have [tex]y'=rx^{r-1}[/tex] and [tex]y''=r(r-1)x^{r-2}[/tex], and substituting these into the ODE gives

[tex]r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0[/tex]

Solving for r, we find

[tex]r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}[/tex]

so that [tex]y_1=x^8[/tex] and [tex]y_2=x^7[/tex] are two fundamental solutions to the ODE. Thus the general solution is

[tex]\boxed{y(x)=C_1x^8+C_2x^7}[/tex]

Given that [tex]y(1)=4[/tex] and [tex]y'(1)=3[/tex], we get

[tex]\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29[/tex]

So the particular solution is

[tex]\boxed{y(x)=29x^7-25x^8}[/tex]

Solve for x
4( 3x - 5) = -2(-x + 8) - 6x

Answers

Answer:

Step-by-step explanation:

12x - 20 = 2x  -16 - 6x

12x - 20 = -4x - 16

16x - 20 = -4x

20x = 20

x = 1

Would like an answer for this question. Which represents 7(45) using the distributive property to simplify? SELECT THE TWO THAT APPLY. 1# 7 (40 - 5) 2# 7 (4) + 7 (5) 3# 7 (40 +5) 4# 7 (40) + 7(5)

Answers

Answer:

7(45)=7(40)+7(5)

Step-by-step explanation:

We need to represent 7(45) using the distributive property to simplify.

We can write 45 as 40+5

So it becomes,

7(45) = 7(40+5)

Distributive property is : a(b+c)=ab+ac

a=7, b = 40 and c = 5

7(40+5)=7(40)+7(5)

So, the correct option is (4).

5g + 18-7g + 4g = 8

Answers

Answer:

Step-by-step explanation:

9g - 7g + 18 = 8

2g + 18 = 8

2g = -10

g = -5

How many bricks each 0.16m2 are required for paving a courtyard of 5.5m long and 4.8m wide? ​

Answers

165 bricks

...................

f(-1/2)=1/2x +3/2 what is the answer to this?

Answers

Answer:

5/4, just sub in x

Step-by-step explanation:

The density of a certain material is such that it weighs 10 ounces per gallon of volume. Express this density in pounds per pint. Round your answer to the nearest hundredth.

Answers

Answer:

0.08 pounds per pint.

Step-by-step explanation:

Given: The density of a certain material is such that it weighs 10 ounces per gallon.

We are to express this density in pounds per pint.

1 gallon ⇒ 10 ounces

1 pound = 16 ounces

How many pounds? = 10 ounces.

Cross-multiplying gives;

[tex]\frac{10 * 1}{16} = 0.625[/tex] pounds

1 gallon = 8 pints

The density in pounds per pint is;

0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).


(6 + 7) + 8 = 6 + (7 + 8)
which property of addition shows

Answers

Answer: Associative Property of Addition

Step-by-step explanation: The problem (6 + 7) + 8 = 6 + (7 + 8)

demonstrates the associative property of addition.

Notice that the addends, or the number we're adding,

are the same on both sides of the equals sign, 6 + 7 + 8.

The associative property of addition tells us that when we're adding more

than two numbers, the grouping of addends does not change the sum.

For example here, (6 + 7) gives us 13, and 14 + 8 gives us 21.

On the right side, (7 + 8) gives us 15, and 6 + 15 gives us 21.

So the sum is the same, regardless of which way we group the addends.

Type the integer that makes the following multiplication sentence true: –3 × = 9

Answers

Answer:-3

-3

Step-by-step explanation:

How do you find the area?

Answers

Answer:

• First attachment's graph is correct

• Second attachment, the area is approximately 8.6

Step-by-step explanation:

Remember that the area between two curves is defined as the following:

[tex]\mathrm{The\:area\:between\:curves\:is\:the\:area\:between\:curve\:f(x)\:and\:curve\:g(x)\:on\:interval\:[a,b]} :\\A=\int _a^b|f\left(x\right)-g\left(x\right)|dx[/tex]

We are given the curves y = 7cos(2x), and y = 7 - 7cos(2x) on interval [0, π/2]. Therefore, applying the area formula, we have the solve the following integral:

[tex]\int _0^{\frac{\pi }{2}}\left|7\cos \left(2x\right)-\left(7-7\cos \left(2x\right)\right)\right|dx[/tex]

From now on take a look at the attachment. It shows how to solve the integral, and it's exact value. The area is not 9.727 as you entered, it is approximately 8.6. Your graph however was accurate, but there can be no work shown for that as it's much easier to use a graphing calculator.

I need help ASAP!! 1+(x-4)=-(3x+6)+1

Answers

Answer: x= -2

Step-by-step explanation: 1.) use PEMDAS

2.) distribute the 1 and -1 to (x+4) and (3x+6) --> 1+x+4 = -3x-6+1

3.) Put common terms on the same side (so x's together and the numbers together) so you will add 3 to the right side and add 3x to the left side

4.) that will get you 4x = -8 so then you will divide 4 to both sides to get x by itself

5.) Answer: x=-2

5.)

Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically

Answers

Answer:

16)   2

17)   -5

18)   doesn't exist

19)   doesn't exist

20)  doesn't exist

21)   3

22)   4

23)   6

Step-by-step explanation:

16) as you move towards -9, the function adopts the value 2

17) as one moves towards x = -6 , from both sides (right and left) the function goes to the value -5

18) As one moves towards x = -4 (from the right and from the left, the functions seems to diverge towards + ∞. So normally the convention for limits stipulates: Undefined or Doesn't exist

19) f(-4) doesn't exist (for same reasons as above (there is a singularity here)

20) As one moves towards 2 from the right, the function gets towards the value 3, while approaching from the left the function goes towards the value 5. So formally we say that the limit doesn't exist (from the left and from the right limits don't agree)

21) f(2) is the well defined value of 3

22)  approaching x= 4 from the right and from the left both lead towards the value 4.

23) f(4) is 6

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