A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm.How many more mL of water could be added to the container before it overflows?

Answer:

The base is natural number e = 2.71828...

Step-by-step explanation:

By definition of natural log, the base is e = 2.71828...

The base of the function y = ln(x) is the irrational number e (approximately 2.71828).

The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.

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For step one, they want you to factor 5,000 into a 5 and ?. To find the missing value, we can divide:

5,000 / 5 = 1,000

So, 1000 goes in the first blank.

For step two, 1,000 also goes in the second blank since the first 2 numbers are being multiplied.

For step three, multiply the last two numbers.

30 * 1000 = 30,000

So, 30000 goes in the last blank.

Best of Luck!

Answer: 30000 goes in the last one

Step-by-step explanation:

Answer:

In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices

Step-by-step explanation:

Answer:

196 cent^3

Step-by-step explanation:

mark brainliest please :)

Answer:

190 cents skimpy simple

190 cent

Answer:

748 is the answer

Step-by-step explanation: toda

Answer:

[tex]30x^{7} y^{4}[/tex]

Step-by-step explanation:

simplify

Final answer:

The equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4, obtained by multiplying the coefficients and adding the exponents of like bases.

Explanation:

The question asks for the equivalent expression of the product (3x^2y)(10x^5y^3).

To find the equivalent expression, we need to apply the properties of exponents, which state that when multiplying two powers with the same base, we add the exponents. We can also multiply the coefficients in a usual way. Let's break it down into steps:

Multiply the coefficients (numbers outside the exponents): 3 × 10 = 30.

Add the exponents of x: x^2 × x^5 = x^(2+5) = x^7.

Add the exponents of y: y^1 × y^3 = y^(1+3) = y^4.

Combine the results: 30x^7y^4.

Therefore, the equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4.

Answer:

  2,042,975

Step-by-step explanation:

Josh can choose 9 of his 25 classmates using the function C(n,k), which tells the number of combinations of n objects taken k at a time.

__

Here, Josh wants to choose 9 from 25 classmates. The number of possible choices is ...

  C(n, k) = n!/(k!(n-k)!)

  C(25, 9) = 25!/(9!(25 -9)!) = 25·24·23·22·21·20·19·18·17÷(9·8·7·6·5·4·3·2·1)

  = 2,042,975

__

Additional comment

In effect, the first ticket can go to any of 25 classmates, the second to any of 24, and so on. The last ticket can go to any of 17 classmates. This product 25·24·...·17 counts each group of classmates 9! times. Since the order in which they are chosen does not matter, the final number is then ...

  25!/(16!·9!) = 2042975

Answer:

You can use the Subtraction property of equality

You have to subtract 3 on both sides to have x alone, which will give you x=4

Answer:

SUbtraction

7-3=4 so X is 4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

A can is a cylinder

V = pi r^2 h

The diameter is 6.4  we want the radius

r = d/2 = 6.4/2 = 3.2

V = 3.14 * (3.2)^ * 12.3

V =395.48928 cm^3

1 cm^3 = 1ml

V = 395.48928 mL

A can of soda has 355 mL

We are over estimating because the can narrows on the ends and the height is actually shorter because the ends do not have volume but are metal to contain the soda.  We also did not take into account the curve in the bottom of a can of soda.

Answer:

395.48928 cm³

40.48928 cm³ greater than an actual can

Step-by-step explanation:

Volume of can:

pi × r² × h

3.14 × (6.4/2)² × 12.3

395.48928 cm³

Actual can: 355 cm³

395.48928 - 355 = 40.48928 cm³

Answer:

x = 16

Step-by-step explanation:

4x - 7 = 3x + 9

4x = 3x + 16

1x = 16

x = 16

Answer:

A:

p = 65s, 0《s《20

p = 1300, s > 20

B:

p = 300 + 40s, s》0

C:

p = 900

Step-by-step explanation:

Salmesman A:

p = 65s

65s = 1300

s = 20

Salesman B:

p = 300 + 40s

Salesman C:

p = 900

Answer:

A:

p = 65s, 0《s《20

p = 1300, s > 20

B:

p = 300 + 40s, s》0

C:

p = 900

Step-by-step explanation:

Salmesman A:

p = 65s

65s = 1300

s = 20

Salesman B:

p = 300 + 40s

Salesman C:

p = 900

Step-by-step explanation:

Answer:

I think the plastic cup are 24

Answer:

t = 5.46 secs and t = 2.42 secs

Step-by-step explanation:

The distance of the ball from the ground is given by:

[tex]s(t) = -16t^2 + 126t[/tex]

When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:

[tex]211 = -16t^2 + 126t[/tex]

[tex]=> 16t^2 -126t + 211 = 0[/tex]

Using the quadratic formula:

[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

where a = 16, b = 126 and c = 211

Hence:

[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]     and          [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]

[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex]                     and           [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]

[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex]                                and           [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]

[tex]t = \frac{126 + 48.703 }{32}[/tex]                                and           [tex]t = \frac{126 - 48.703 }{32}[/tex]

[tex]t = \frac{174.703}{32}[/tex]                                     and           [tex]t = \frac{77.297}{32}[/tex]

=> t = 5.46 secs and t = 2.42 secs

This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.

This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.

To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.

In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.

First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.

Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.

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Answer:

c

Step-by-step explanation:

The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.

First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:

V = (1/3)π(1.5 cm)²(4 cm)

V = (1/3)π(2.25 cm²)(4 cm)

V = (1/3)π(9 cm³)

V = 3 π cm³

V = 3 π cm³

V = 3 × 3.14 cm³

V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.

The correct option is d. 9 cu. cm.

Answer:

39 degrees.

Step-by-step explanation:

We want an angle  x  such that   0 < x < 360   and angle x is coterminal with an angle of measure 399 degrees.

so   x =  399 - 360 = 39 degrees

Answer:

F(2)=-7

Step-by-step explanation:

f(-2)=2x-3

you substitute the x on the positive 2

2(-2)=-4

-4-3-=7

-7

Hence the result of the function is x is -2 is -7

Given the function f(x) = 2x-3,

Domain of a function is the input value for which the function exists.

The range of the function is the output value for which the function exists

From the question, we can see that we are to find the resulting range if the domain of the function is -2.

To get f(-2), we will need to substitute x as 2 into the function as shown

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

f(-2) = -4 - 3

f(-2) = -7

Hence the result of the range with the domain of -2 is -7

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The answer is 2 and 1. Hope this help btw

I like to work backwards to see if the common difference is the same.

So I take 16 and work to the left.

So I say 16 - 21  which is -5.

Then I do 21 - 26 which is -5.

Finally, 26 - 31 which is -5.

So what I am doing here is just taking the number that is on the right and subtracting it by the number that appears to the left of it.

Notice that I always get -5 and that has to be because in order for this to have a common difference, the result must always be the same if you are working with the method I used above.

So, our common difference is -5.

Answer:

1.Work out the Mean (the simple average of the numbers)

2.Then for each number: subtract the Mean and square the result.

3.Then work out the mean of those squared differences.

4.Take the square root of that and we are done!

Step-by-step explanation:

Answer:

To calculate the standard deviation of those numbers:  Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result.  Then work out the mean of those squared differences. It was easy. Have a great day.

Step-by-step explanation:

Brainliest!

Answer:

A. on EDG

Step-by-step explanation:

took quiz!!!!!

Answer: A

Step-by-step explanation:

edge 2023

2/3Answer:

Step-by-step explanation:

Answer:

[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Step-by-step explanation:

Using the difference formula for cosine and the exact values

cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]

cos(a - b) = cosacosb + sinasinb

Note 15° = 45° - 30°, thus

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Answer:

[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am so sorry what grade is this?

Answer:

The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.

Step-by-step explanation:

First divide 2 by 9.

Use a calculator or do it by hand.

You get your answer.

Option D is correct, the decimal which is equivalent to the fraction 2/9 is 0.2

The given fraction is two divided by nine, 2/9

Two is the numerator and nine is the denominator

We have to find the equivalent decimal number of fraction 2/9

To do this we have to divide 2 by number nine

When two is divided by nine we get 0.222

2/9 =0.22

=0.2

Hence, the decimal which is equivalent to the fraction 2/9 is 0.2, option D is correct.

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Answer:

I wish i could help but im dumb :(

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

V= Base x Height

If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6

Please mark brainliest ;)

Answer:

You're Correct

Step-by-step explanation:

Keep up your good work

Answer:

From the Law of cosines we see that Line AB^2 (or side c^2) equals

AB^2 = a^2 + b^2 -2ab *cos (C)

AB^2 = 6*6 + 7*7 -2*6 * 7 * cos(59)

AB^2 = 85 -84 * 0.51504

AB^2 = 85 - 43.26336

AB^2 = 41.73664

AB = 6.4603900811

AB = 6.5 (rounded)

Step-by-step explanation: