The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.
Find the percent of the cup that is filled with water after 3 seconds.

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius. The general form is simply the expanded form of the standard. Let's first write the standard form.

Here, the center is (3, -4) and the radius is r = 6, so:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-3)^2+(y+4)^2=6^2[/tex]

Now expand:

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

The answer is B.

Answer:

x² + y² - 6x + 8y - 11 = 0

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 4)² = 6²

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

Answer:

When x=8, y=-6. When x=10, y=0

Step-by-step explanation:

[tex]y=3x-30\\x^2+y^2=100[/tex]

You can plug the given y value into the second equation to get:

[tex]x^2+(3x-30)^2=100\\x^2+9x^2-180x+900=100\\10x^2-180x+800=0\\10(x^2-18x+80)=0\\10(x-8)(x+10)=0\\x= 8, 10\\y= -6, 0[/tex]

Hope this helps!

Answer:

D. 420

Step-by-step explanation:

The volume of a right rectangular prism is given as:

V = L * W * H

where L = length

W = width

H = height

The shoebox has dimensions 7 inches by 12 inches and is 5 inches. Therefore, its volume is:

V = 7 * 12 * 5 = 420 cubic inches

The volume of the shoebox in cubic inches is 420.

Answer: 0.0024

Step-by-step explanation: To get the answer, all we have to do is...

24 ÷ 10 ⁴ = 0.0024

We have to push 24 to the right 4 times...

24 ⇒ 2.4 ⇒ 0.24 ⇒ 0.024 ⇒ 0.0024

I hope this helps!

Answer:

Option (1). 6 inches

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces ?

Tony has a piece of chain = 4.5 feet long

                                           ≈ 4.5 × 12 inches

                                           ≈ 54 inches

Number of necklaces Tony wants to make = 3

Length of every piece of gold chain required for one necklace = 16 inches

Total length of gold chain required for 3 necklaces = 3 × 16 inches

                                                                                     = 48 inches

Length of remaining chain = 54 - 48 = 6 inches

Therefore, Option (1) will be the answer.

Using the volume formula for a sphere (V = (4/3)πr3), the radius for the given volume of 4,186.67 cm3 is calculated to be 10 cm, making option C correct.

The volume of a sphere is given by the formula V = (4/3)πr3. To find the radius of a sphere with a volume of 4,186.67 cm3, we rearrange the formula to solve for r:

r = ∛((3V) / (4π))

Substituting the given volume and 3.14 for π:

r = ∛[(3×4,186.67 cm3) / (4×3.14)]

r = ∛[(12,560.01 cm3) / (12.56)]

r = ∛(1,000)

r = 10 cm

So, to the nearest centimeter, the radius of the sphere is 10 centimeters, making option C the correct answer.

y = 30e is the equation (no y-intercept)

Therefore, plugging in 4 and 6 enables us to fill in the chart.

4 x 30 = 120

6 x 30 = 180

4,120

6,180

Answer:

The amount of money to be deposited today is $11,725

Step-by-step explanation:

In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.

To get this, we have to use the compound interest formula

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

where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question

P is the initial amount to be deposited which is what we are looking for

r is the rate of compounding which is 6% or simply 6/100 = 0.06

n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2

t is the number of years which is 3 according to the question

Now, plugging all these values, we have;

14,000 = P( 1 + 0.06/2)^(3 * 2)

14,000 = P(1+0.03)^6

14,000 = P(1.03)^6

14,000 = 1.194P

P = 14,000/1.194

P = 11,724.77 which is approximately $11,725

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

A = (a+b)h/2

A = 6

B = 8

H = 5

A = (6+8)5/2

A = 14(2.5)

A = 35

The area of the coffee table is 35 sq. feet.

Answer:

35!

Step-by-step explanation:

formula= a+b/2 h

6+8/2 = 7.

7*5= 35!

Answer:

y = 4.25x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 34 when x = 8, thus

34 = 8k ( divide both sides by 8 )

k = [tex]\frac{34}{8}[/tex] = 4.25

y = 4.25x ← equation of variation

Answer:

The answer is C.

Step-by-step explanation:

Answer: A D F

Step by step equation

Answer:

1 4 and 6 option

Step-by-step explanation:

I do not know what kind of answer you may want but here is a few you might be asking for

(1).   Every 12 games Alice wins 8 games and looses 4. ( 8/12 )

(2). Alice wins 2/3 games against a computer. ( 8/12 )

(3). Alice wins 66% of games she plays against a computer.

There you go.

Alice's win ratio for playing checkers against a computer is 8 wins out of 12 games, which simplifies to 2/3.

Alice has played 12 checker games against a computer and has won 8 of them. To understand her win ratio, we simply divide the number of games won by the total number of games played. This gives us a ratio or fraction of 8/12, which can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, resulting in 2/3. Therefore, Alice has a winning ratio of 2 wins for every 3 games played. Understanding win ratios is an essential part of probability and statistics, a key area within mathematics dealing with the analysis of numerical data.

Answer:

A = -16

B = 32

Step-by-step explanation:

There are 6 lines between A and B

48 ÷ 6 = 8 per line

A is two lines left of zero

A = 0 - 8 - 8 = - 16

B has 4 lines right of zero

B = 0 + 8 + 8 + 8 + 8 = 32

Answer:the prism has both rotational and reflections symmetry.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

ur mum

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The actual question is "what is the value of log₃81" in which, your answer would be 4 on edge 2020

Answer:

0 Litres

Step-by-step explanation:

If the tank holds 500 litres and its loosing 14% every hour, just multiply

14%x8h=112%

This means the tank has lost all of its water.

You can also do 500/100=5 <- 1% of the tank, then multiply it by 14 and it gives you 70 litres. Then, multiply this by 8 and its gonna be 560 litres. So this means the tanks is going to have 0 litres left at the end.

The quantity of water present in the tank after 8 hours will be 123.94 liters.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that a full water tank holds 500 liters. The tank begins to leak water and is losing 14% of its contents every hour.

The quantity of water present in the tank will be,

W = 500 x ( 0.86)⁸

W = 500 x ( 0.2478)

W = 123.94 liters

Therefore, the quantity of water present in the tank after 8 hours will be 123.94 liters.

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Answer:

3.65 ounces in each bowl

Step-by-step explanation:

Strawberry=6.54 ounces

Blueberry=6.09 ounces

If Kelly combines the two fruits to make fruits bowls

Then,

6.54 ounces of strawberry + 6.09 ounces of blueberry=12.63 ounces of fruits.

She pours the fruits equally in each bowl and has a leftover of 1.68 ounces.

Let quantity in each bowl = x

There are 3 bowls

Total quantity in three bowls=3x

Leftover=1.68

Total fruits = 12.63

We have the equation

3x+1.68=12.63

Subtract 1.68 from both sides

3x=12.63-1.68

3x= 10.95

Divide both sides by 3

x=10.95/3

x=3.65

Answer:

3.65 ounces of fruit in each bowl

Step-by-step explanation:

If the combination was made with 6.54 ounces of strawberries and 6.09 ounces of blueberries, the total ounces of fruit used is 6.54 + 6.09 = 12.63 ounces.

The remaining after dividing in three bowls is 1.68, so the amount used is 12.63 - 1.68 = 10.95 ounces

If we divide this amount of fruit by three bowls, we have:

Amount of fruit per bowl = 10.95 / 3 = 3.65 ounces

Answer: 3 times

Step-by-step explanation:

2/(2/3)=3

Answer: 3 times.

Step-by-step explanation:

To find how many times 2/3 goes into 2, convert 2 to a fraction with the same denominator as 2/3.

You can do this by multiplying the fraction 2/1 by 3/3 to make the denominator equal 3:

[tex]\frac{2}{1}*\frac{3}{3} =\frac{6}{3}[/tex]

Then, you can divide the fractions. Because 6/3 and 2/3 have the same denominator, you can simply divide 6 by 2.

2/3 goes into 2 three times.

Answer:

$138

Step-by-step explanation:

We can first turn the words into a mathematical equation by substituting words with the information we have:

Total earning - ( Price of three books)

$180 - (Price of one book x 3)

$180 - ($14 x 3)

Finally, after we have created the mathematical equation, we solve it!

$180 - ($14 x 3)

$180 - $42

$138

Answer:

20

Step-by-step explanation:

Substitute all the known values into the expression.

2 (-3) (-4) + (-4)

Then solve using pemdas

24 + (-4)

= 20

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

Answer:  

x = 4

Step-by-step explanation:

4x + 2x = 18 + 6          (6 goes to the other side and changes its sign)

6x = 24

x = 4                       (divide 24 by 6)

Answer:

x = 4

Step-by-step explanation:

4x - 6 + 2x = 18

4x + 2x = 18 + 6                 collect like terms

6x = 24                              divide both sides by the coefficient of x

x = 4

Answer:

 (a) Choice 1, 2

(b)  Choice 3, 4

Step-by-step explanation:

The negative can be out front, on the top or on the bottom

-2/5  = -  2/5 or 2 / -5

The negative can be out front, on the top or on the bottom

-  4/7  = -4/ -7 or -4/7

Step-by-step explanation:

Step 1:  Find the correct options for (a)

The only correct choices for (a) is option A and B.  Since there is only one negative sign in the given fraction, the other fractions must only have one also.  Therefore, the correct options are A and B.

Step 2:  Find the correct options for (b)

The only correct choices for (B) is option C and D.  Since there is only one negative sign in the given fraction, the other fractions must only have one also.  Therefore, the correct options are C and D.

Answer:

113.1

Step-by-step explanation:

V=4/3π(r)^3

V=4/3π(3)^3

V=4/3(27)π

V=36π ---> 113.1

Answer:

If  you meant to type  f(x) =  (4 - 2x)^2 - 4,  then choose choice B.) domain: all real numbers

range: all real numbers greater than or equal to –4

----

With your typo... the choices narrow down to choice B and A.  .  The domain is definitely all real numbers for a quadratic function.

Step-by-step explanation:

We have a quadratic function  

f(x) =4  -2*x^2  - 4

I assume there is a typo here.

check   y >= -5  and y >= -4...

what if   f(x) = (4 - 2x)^2  - 4

then  f(x) = 4*(x - 2)^2 - 4   with vertex at  (2, -4)  which makes sense with the answer choice B.)

f(x) = 4*(xx - 4x + 4)  - 4  =  4xx - 16x + 16 -4  = 4xx - 16x +12 ...

The domain of the function is all real numbers, and the range is all real numbers greater than or equal to -4.

The correct answer is option B.

Certainly, let's discuss the domain and range of the function f(x) = 4 - 2x^2 - 4 :

Domain (Possible x-values):

The domain of a function represents all the possible input values (x-values) for which the function is defined. In this case, f(x) is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain is all real numbers. So, options (A) and (B) are incorrect because they limit the domain.

Range (Possible y-values):

To determine the range, we need to analyze how the function behaves. The function f(x) = 4 - 2x^2 - 4 is a quadratic function with a leading coefficient of -2. It opens downward, and its vertex is at the point (0, 0). As x moves away from the vertex in either direction, the function value decreases without bound. Therefore, the range is all real numbers less than or equal to -4 because the function never goes above -4. So, options (C) and (D) are incorrect because they indicate that the range includes positive values.

Based on the analysis, the correct answer is:

B.) domain: all real numbers

range: all real numbers greater than or equal to -4

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