The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3+13w^2+20w. What is a simplified expression for the height of the​ prism?

Answer:

6,000,000 + 20,000 + 300

Step-by-step explanation:

Answer:

X = -1   Y = 4

Step-by-step explanation:

Put the 7y over so it is 27-7y

after that you fill in the x on the top formula with (27-7y)

From there you solve like normal for Y, which ends out being 4.

Once you have that you can plug 4 into the Y spot in the bottom formula and just solve for X

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Answer:

C. Less than or equal to

Step-by-step explanation:

The floor function is a function used to return an integer value that is great than the input number.

More often than not, the input number is a real number.

Take for instance.

Floor(3.2).

Going by the explanation above, the result of this will be 3

How about floor(-3.2)

The result of this will be -4.

This is so because -4 is less than or equal to -3.2.

The floor function maps any number to the greatest integer that is C.) less than or equal to the number.

The floor function maps any number to the greatest integer that is less than or equal to the number. This means that for any real number \( x \), the floor function, denoted as [tex]\( \lfloor x \rfloor \),[/tex] will produce the largest integer that does not exceed \( x \). For example, \( \lfloor 3.7 \rfloor = 3 \) and \( \lfloor -2.3 \rfloor = -3 \).

The floor function is widely used in mathematics and computer science for rounding down numbers to the nearest integer. It is especially useful in discrete mathematics, algorithms, and number theory. When working with the floor function, it is essential to understand that it always rounds down towards negative infinity, not necessarily towards zero. Thus, for any real number \( x \), \( \lfloor x \rfloor \leq x \).

Therefore, the correct phrase to complete the statement about the floor function is:

C.) less than or equal to.

[tex]( {y}^{8} )( - 2 {y}^{2} ) = - 2 {y}^{10} [/tex]

To multiply the monomials (Y⁸)(-2y²), add the exponents and multiply the coefficients resulting in -2y¹⁰.

To multiply the given monomials (Y⁸)(-2y²), we use the laws of exponents which state that when multiplying like bases, we add the exponents. The coefficient -2 multiplies by 1 (the implied coefficient of Y⁸) to remain -2. The new exponent for 'y' is the sum of 8 and 2, which is 10. So, the product in standard form is -2y¹⁰.

Step by step solution:

Answer:

Letter B is the answer.

Answer:

11 ft

Step-by-step explanation:

The equation for the volume of a cone is:

V = 1/3(3.14)r^2h

V = 414.48

r = 6

Plug in those values and solve for h:

414.48 = 1/3(3.14)(6)^2h

414.48 = 37.68h ; divide both sides by 37.68

11 = h

The missing height is 11ft.

When adding polynomial expressions, add the monomials with the same degree:

[tex]3g^2 + 3g^2[/tex]

[tex]-g - 8g[/tex]

[tex]4[/tex]

=

[tex]6g^2 -9g + 4[/tex]

Answer is <

Step-by-step explanation:

To compare the square root of 7 and 14 over 5, we find their approximate values. Since 2.65 (root 7) is less than 2.8 (14/5), the correct mathematical symbol to use is <.

The question asks us to compare two real numbers: the square root of 7 and 14 over 5. First, we need to estimate these numbers. The square root of 7 is approximately 2.65. 14 divided by 5 equals 2.8. Therefore, we can say that 2.65 is less than 2.8. As such, the mathematical symbol that should be used is < which means 'less than'.

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Answer:

The answer is 3 * 5 * 4

Step-by-step explanation: It's because volume is length times width times height so you would have to multiply all three numbers.

Answer:

point B

Step-by-step explanation:

The coordinates (4,0) is has the numbers 4 and 0.

4 is positive and  can be represented as moving right on the origin. Since, there is no rise it stays.

Answer:

2

Step-by-step explanation:

The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.

A quadratic is of degree 2 and has 2 roots.

Answer: [tex]1272cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3}\\ V=(3.14)(9)^2(\frac{15}{3} )\\V=(3.14)(81)(5)\\V=1271.70cm^3\\V=1272cm^3[/tex]

Answer:

The average force applied to the baseball is 8.25kN

Step-by-step explanation:

This problem bothers on the impulse of a force

We know that the change in momentum is expressed as

Ft= mv-mu

Given

Ft=16.5 kg-ms

Time t of impact =0.00200s

The force applied can be solved for

By making F subject of formula

F= (mv-mu)/t

F=16.5/0.002

F= 8250N

F= 8.25kN

Final answer:

The average force applied to the baseball is calculated to be 8250 Newtons, based on the given change in momentum of 16.5 kg-ms and the time of impact of 0.00200 seconds.

Explanation:

The student is asking how to calculate the average force applied to a baseball during collision with a bat, given that the baseball's change in momentum (impulse) is 16.5 kg-ms and the time of impact is 0.00200 seconds.

To find the average force (Favg), we can use the formula derived from Newton's second law, which relates force, change in momentum (impulse), and time:

Favg = \\Delta p / t

Where:

Plugging in the values we have:

Favg = 16.5 kg-ms / 0.00200 s

Doing the calculation:

Favg = 8250 N

Therefore, the average force applied to the baseball is 8250 Newtons.

Answer:

15%

30 percent passed BOTH tests.....Only 15% passed ONLY first test

30/(30+15) = 67% of those who passed the first test ALSO passed the second test.

Answer:

y = (4/5)x - 3

Step-by-step explanation:

slope intercept form: y = mx + b

Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:

4x - 5y = 15

4x (-4x) - 5y = 15 (-4x)

-5y = -4x + 15

Next, divide -5 from both sides:

(-5y)/-5 = (-4x + 15)/-5

y = (-4x + 15)/-5

Simplify Divide -5 from all terms within the parenthesis:

y = (4/5)x - 3

y = (4/5)x - 3 is your answer.

~

Answer:

The expected value of playing the game is -$7.

Bill should not play this game.

Step-by-step explanation:

The probability distribution of gain and loss is as follows:

  X         P (X)

-$20       0.30

-$40       0.20

$50        0.10

  $5        0.40

Total        1.00

The expected value of a probability distribution is given by:

[tex]E(X)=\sum {X\times P(X)}[/tex]

Compute the expected value of playing the game of chance as follows:

[tex]E(X)=\sum {X\times P(X)}[/tex]

         [tex]=(-\$20\times 0.30)+(-\$40\times 0.20)+(\$50\times 0.10)+($5\times 0.40)\\\\=-\$6-\$8+\$5+\$2\\\\=-\$7[/tex]

The expected value of playing the game is -$7.

The expected value of the game suggests that Bill will incur a loss of $7 if he plays.

So, it is safe not to play the game.

Answer:

i did the math and it should be B. 7 hours

Step-by-step explanation:

We have been given that ∠Q is an acute angle such that [tex]\text{tan}(Q)=0.04[/tex]. We are asked to find the measure of angle Q to nearest tenth of a degree.

We will use arctan to solve for measure of angle Q as:

[tex]Q=\text{tan}^{-1}(0.04)[/tex]

Now we will use calculator to solve for Q as:

[tex]Q=2.290610042639^{\circ}[/tex]

Upon rounding to nearest tenth of degree, we will get:

[tex]Q=2.3^{\circ}[/tex]

Therefore, measure of angle Q is approximately 2.3 degrees.

The measure of angle Q, rounded to the nearest tenth of a degree, is approximately 131.4 degrees.

To approximate the measure of angle [tex]\( \angle Q \)[/tex] given [tex]\( \tan Q = 0.04 \)[/tex], follow these steps manually:

1. Use the inverse tangent function : Use the inverse tangent function [tex](arctangent or \( \tan^{-1} \)) to find \( Q \)[/tex].

2. Calculate [tex]\( Q \)[/tex] : Calculate [tex]\( Q = \tan^{-1}(0.04) \)[/tex].

3. Convert to degrees : The result of [tex]\( \tan^{-1}(0.04) \)[/tex] will give you [tex]\( Q \)[/tex] in radians. To convert radians to degrees, multiply by [tex]\( \frac{180}{\pi} \)[/tex].

- [tex]\( Q = \tan^{-1}(0.04) \)[/tex]

- Suppose [tex]\( \tan^{-1}(0.04) \approx 2.29161 \)[/tex] radians.

- Convert radians to degrees: [tex]\( Q \approx 2.29161 \times \frac{180}{\pi} \)[/tex]

- [tex]\( Q \approx 2.29161 \times 57.2958 \)[/tex]

- [tex]\( Q \approx 131.384 \)[/tex] degrees (this is the exact calculated value).

4. Round to the nearest tenth :

Since we need to round to the nearest tenth of a degree,

- [tex]\( Q \approx 131.4^\circ \)[/tex].

Therefore, the measure of [tex]\( \angle Q \)[/tex], rounded to the nearest tenth of a degree, is approximately [tex]\( 131.4^\circ \)[/tex].

Answer:

It would be 5

Step-by-step explanation:

SO the additive inverse would basically just be the opposite of the number, for example lets say you had 12, the additive inverse would be -12. You're just changing the sign of the number! From what i know i believe that's it. Have a nice day! :D

Answer:

M + $13.72 = $58.22

Step-by-step explanation:

Manny and Sam combined (+) have a total (=) of $58.22

M + S = $58.22

M + $13.72 = $58.22

Answer:

m + $13.72 = $58.22

Step-by-step explanation:

Together they have $58.22.

We know one of them has $13.72, so if we add that to (m) we should get $58.22.

Answer:

Step-by-step explanation:

Answer:

x = 5/7

Step-by-step explanation:

We find x by watching organic tutor

Answer:

The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

Step-by-step explanation:

This is a question that deals with consecutive numbers.

Let x represent the number of seashells collected on her first day.

Given that she collected 3 more each day, then

On day 2, she collected x + 3

On day 3, she collected x + 6

On day 4, she collected x + 9

On day 5, she collected x + 12

Adding up the above will give the number of sea shells collected on day 1;

i.e.

x + x + 3 + x + 6 + x + 9 + x + 12 = 50

Collect like terms

x + x + x + x + x + 3 + 6 + 9 + 12 = 50

5x + 30 = 50

5x = 50 - 30

5x = 20

Multiply ⅕ to both sides

⅕ * 5x = ⅕ * 20

x = 4.

This mean that she found 4 seashells on day 1;

Recall that day 2 = x + 3

So, day 2 = 4 + 3 = 7 seashells

day 3 = x + 6

day 3 = 4 + 6 = 10 seashells

day 4 = x + 9

day 4 = 4 + 9 = 13 seashells

day 5 = x + 12

day 5 = 4 + 13 = 16 seashells

Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

Answer:

Circle

Octagon

Step-by-step explanation:

There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)

Answer:

A circle is not possible. Neither is a square or a rectangle.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

gradient = (7-1)/(3-1) = 6/2=3

Answer:

Slope is 3

Step-by-step explanation:

m = Δy/Δx

m = (7-1)/(3-1)

m = 6/2

m=3

Hope this helps :)

The system of equations 5x+5y=20 and 2x+2y=8 is dependent with infinitely many solutions, meaning there is more than one solution

To solve the system of linear equations:

First, notice that both equations are multiples of the other. If you divide the first equation by 5 and the second equation by 2, you get the same equation:

x + y = 4

Since both equations are effectively the same, every solution to one is a solution to the other, which means that there are infinitely many solutions. This sort of system is called dependent, meaning one equation can be derived from the other.

So, using a matrix solver on a calculator will indicate that the system does not have a unique solution. The correct answer is:

Answer:[tex]4.71\ in.[/tex]

Step-by-step explanation:

Given

diameter of pie is [tex]d=9\ inch[/tex]

radius [tex]r=\frac{9}{2}=4.5\ inch[/tex]

If child divides pie into 12 equal parts then each part subtends an angle of

[tex]=\frac{360^{\circ}}{12}=30^{\circ}[/tex] at the center

and crust length of single piece is

[tex]=\frac{30}{360}\times 2\pi r[/tex]

[tex]=\frac{1}{12}\times 2\times \pi \times 4.5[/tex]

[tex]=2.35\ in.[/tex]

For two slice length is [tex]2\times 2.35=4.71\ in.[/tex]

Thus the total length of crust eaten is [tex]=4.71\ in.[/tex]

Answer: The 4 correct answers are A,C,D, and E.