Sam has a box shaped like a rectangular prism. It measures 1/6 inches in height, 1/3 in. Wide and 1/2 in. Long. What is the volume of the box? Leave your answer as an improper fraction

The slope of the required line is -2 and the y-intercept of the required line is -10, giving the equation of the required line as \(y = -2x - 10.\)

Given the equation of the line: r - 2y = 5.Since the equation is not given in the form y = mx + b, we have to convert it to that form. Therefore, r - 2y = 5⇒ r = 2y + 5.Dividing both sides of the equation by 2, we get, y = (1/2)r - 5/2Comparing the given equation with y = mx + b, we get m = 1/2, b = -5/2.

Now, the given line is: y = (1/2)r - 5/2Since we need to find the equation of the line that is perpendicular to the given line, we need to find the slope of the line that is perpendicular to the given line. The slope of the given line is m = 1/2. The slope of the line that is perpendicular to this line is the negative reciprocal of 1/2.

To know more about equation  visit:-

https://brainly.com/question/29538993

#SPJ11

Answer:

  2×3^2×5^10

Step-by-step explanation:

We presume you want the simplified product ...

  3^2×5^2×2×5^3×5^5

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The bases are 2, 3, 5. The exponent of 2 is 1; the exponent of 3 is 2; the exponents of 5 are 2, 3, 5, so those get added.

 = 2×3^2×5^(2+3+5)

  = 2×3^2×5^10

_____

  = 175,781,250

According to the given statement the value for:

A. = 6x²

B. = 6x³

An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.

Polynomials are added by combining like terms.

We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.

We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:

2x²-(-4x²) = 2x²+4x² = 6x².

Similarly for the second equation on solving we get:

Polynomials are added by combining like terms.

We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:

5b³-(-b³) = 5b³+ b³ =  6x³.

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ4

I understand that the question you are looking for is:

Use what you know about addition and subtraction of polynomials to find the missing term represented

by the question mark in each equation.

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8

? =

(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17

? =

False. The equation "ax = b" is not referred to as a vector equation. In linear algebra, the equation "ax = b" represents a system of linear equations.

Where "a" is a matrix, "x" is a vector of variables, and "b" is a vector of constants. This equation is commonly known as a matrix equation.

A vector equation, on the other hand, involves vectors on both sides of the equation. It typically represents geometric relationships, such as lines or planes in space. A vector equation might have the form "v = su + tv," where "v," "u," and "v" are vectors, and "s" and "t" are scalars.

The equation "ax = b" is different because it involves matrix multiplication, where the matrix "a" operates on the vector "x" to produce the vector "b." The matrix "a" represents the coefficients of the system of linear equations, while "x" represents the unknown variables, and "b" represents the constant terms.

Learn more about matrix multiplication here: https://brainly.com/question/13591897

#SPJ11

Answer:

5 x S = M (S=Students, M = money); 5 x 25 = 100

Answer:

b Ligers can't reproduce.

Step-by-step explanation:

just took the text

Answer:

its B

Step-by-step explanation:

its 100% sure

A distance of 2 inches in the scale drawing represents 8 feet in the actual room.

let's first find the scale factor of the scale drawing. The actual room has a perimeter of 2(20 ft + 12 ft) = 64 feet. The scale drawing has a perimeter of 16 inches. Since there are 12 inches in a foot, we convert the perimeter of the actual room to inches: 64 ft × 12 in/ft = 768 inches.

Now, we find the scale factor by dividing the scale drawing's perimeter by the actual room's perimeter in inches: 16 in / 768 in = 1/48. This means that each inch in the scale drawing represents 48 inches (or 4 feet) in the actual room.

Since 2 inches on the scale drawing represents a certain distance in the room, we multiply 2 in by the scale factor (1/48) and convert to feet: 2 in × (1/48) × 12 in/ft = 8 ft.

To learn more about : distance

https://brainly.com/question/26046491

#SPJ11

The change in position from the shaded figure to the unshaded figure is best described as a translation.

A translation transformation is such that the entire shape is copied and then this copy is moved to another part of the graph.

In a translation, the size of the shape does not change. Other things that don't change include the orientation of the shape. It remains the exact same, but in a new location.

The shape, size and orientation of the shaded figure is the same as the unshaded figure so this is a translation.

Find out more on translation transformations at https://brainly.com/question/12861087

#SPJ1

Answer:

90

Step-by-step explanation:

50+20+20=90

pls vote me brainliest i need the points.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8

The product of (x + 3)² demonstrates the closure property of multiplication. \(\rm x^{2} + 6x + 9\) is a polynomial. Option D is correct.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

A set is closed under an operation when we do that operation on the member of the set and we always get a set member.

Given

An expression is (x + 3)²

On simplifying, we have

\(\rm (x + 3)(x + 3)\\\\x (x + 3) + 3 (x + 3)\\\\x^{2} +3x +3x +3^2\\\\x^{2} +6x + 9\)

Thus, \(\rm x^{2} + 6x + 9\) is a polynomial.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

Option D

Step-by-step explanation:

The expressions that represent the derivative of the function y = f(x) are:

- dy/dx

- f'(x)

- lim(h→0) [f(x+h) - f(x)]/h

- lim(h→0) [f(x) - f(x-h)]/h

So, the correct options are:

- dy/dx

- f'(x)

- lim(h→0) [f(x+h) - f(x)]/h

- lim(h→0) [f(x) - f(x-h)]/h

Option (C) and option (D) are the same expressions, just with a different notation.

To learn more about function   refer below

https://brainly.com/question/14002287

#SPJ11

There are 1,680 different ways to select the officers for your club.

To determine the number of ways you can select officers for your club, you'll need to use the concept of permutations.

In this case, there are 8 members and you need to choose 4 positions (president, vice president, secretary, and treasurer).

The number of ways to arrange 8 items into 4 positions is given by the formula:

P(n, r) = n! / (n-r)!

where P(n, r) represents the number of permutations, n is the total number of items, r is the number of positions, and ! denotes a factorial.

For your situation:

P(8, 4) = 8! / (8-4)! = 8! / 4! = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1) = (8 × 7 × 6 × 5) = 1,680

Learn more about permutation at

https://brainly.com/question/30649574

#SPJ11

The rate of change of the angle of elevation of the balloon from the observer when the balloon is 30 meters above the ground is 0.05 radians per second.

To find the rate of change of the angle of elevation of the balloon from the observer, we can use trigonometry. Let's denote the distance between the observer and the point directly below the balloon as 'x', the height of the balloon above the ground as 'h', and the angle of elevation as 'θ'.

Given:

Rate of change of the height of the balloon (h) = 3 meters/sec

Distance between the observer and the point directly below the balloon (x) = 30 meters

Height of the balloon above the ground (h) = 30 meters

To find the rate of change of the angle of elevation (dθ/dt), we need to determine the relationship between the variables x, h, and θ.

From the right triangle formed by the observer, the point below the balloon, and the balloon itself, we can write the following trigonometric relationship:

tan(θ) = h / x

To find the rate of change of the angle of elevation, we need to differentiate this equation with respect to time (t):

d/dt(tan(θ)) = d/dt(h / x)

Using the quotient rule, the left side becomes:

(sec^2(θ)) * (dθ/dt) = (1/x) * (dh/dt)

Now, let's substitute the given values:

sec^2(θ) = (h^2 + x^2) / x^2

dh/dt = 3 meters/sec

h = 30 meters

x = 30 meters

Plugging in these values and rearranging the equation, we can solve for dθ/dt:

(sec^2(θ)) * (dθ/dt) = (1/x) * (dh/dt)

(sec^2(θ)) * (dθ/dt) = (1/30) * (3)

(sec^2(θ)) * (dθ/dt) = 0.1

Since sec^2(θ) is always positive, we can divide both sides of the equation by sec^2(θ):

dθ/dt = 0.1 / sec^2(θ)

Now, we need to find the value of sec^2(θ) when the balloon is 30 meters above the ground. Let's denote this value as sec^2(θ_0).

In the right triangle, when the balloon is 30 meters above the ground, we have:

sec^2(θ_0) = (h^2 + x^2) / x^2

sec^2(θ_0) = (30^2 + 30^2) / 30^2

sec^2(θ_0) = (900 + 900) / 900

sec^2(θ_0) = 2

Now, we can substitute this value back into the equation for dθ/dt:

dθ/dt = 0.1 / sec^2(θ_0)

dθ/dt = 0.1 / 2

dθ/dt = 0.05

Therefore, the rate of change of the angle of elevation of the balloon from the observer when the balloon is 30 meters above the ground is 0.05 radians per second.

for such more question on angle of elevation

https://brainly.com/question/19594654

#SPJ11

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ11

The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.

To simplify the given expression, let's break it down step by step.

The expression is:

\((-7a^3b^{-3}) / (21ab)\)

First, we can simplify the numerator by applying the exponent rules.

The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:

\((-7a^3) / (21ab^3)\)

Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:

\((-a^3) / (3ab^3)\)

Now, we can simplify the remaining terms by canceling out the common factor of 'a':

\((-a^2) / (3b^3)\)

Finally, we have simplified the expression to \((-a^2) / (3b^3)\).

In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.

To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)

For more question on simplified visit:

https://brainly.com/question/723406

#SPJ8

Answer:

10 groups you need to make 200.

mark as brainlist

Step-by-step explanation:

This is kinda like the Pythagorean Theorem with THREE dimensions instead of two

diagonal^2 = 3^2 + 4^2  +  2^2

diagonal = sqrt ( 29) = 5.39 ft

Answer:

length = 30.4

width = 7.6

Answer: The answer is 6x^2y(9 - 2y)

Step-by-step explanation: I am not completely sure sorry if its wrong

Answer:

a₁₇ = - 3

Step-by-step explanation:

substitute n = 17 into the nth term rule

a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

Learn more about Difference of Two Expressions on:

https://brainly.com/question/28986379

#SPJ1

The frequency of a radio wave that is 300 meters long is 160 kilohertz.

The frequency varies directly with the length.

To solve this problem, we can set up a proportion based on the given information. Let's represent the frequency as f and the length as l.

The frequency varies directly with the length, so write the proportion:

f₁ / l₁ = f₂ / l₂

Where f₁ = 400 kilohertz, l₁ = 750 meters, f₂ is the unknown frequency, and l₂ = 300 meters.

Plugging in the values, we have:

400 / 750 = f₂ / 300

To find f₂, we can cross-multiply and solve for it:

400 * 300 = 750 * f₂

120,000 = 750 * f₂

Dividing both sides by 750:

f₂ = 120,000 / 750

f₂ = 160 kilohertz

Learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

Step-by-step explanation:

The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;

\(\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\= \frac{5+70}{7}\\\\= \frac{75}{7} \\\\= 10 \frac{5}{7}\)

Hence the expression written in equivalent form of common denominator is \(\frac{5 + 70}{7}\)

The sum is \(10 \frac{5}{7}\)

Answer: 4?

Step-by-step explanation: hehe

(is brainliest to much to ask for?) THaNK YOU

Answer:

2+2=4

Thanks for points!! :)

Answer:

srry i wish i could help but i cant

Step-by-step explanation:

Answer:

4 years

Step-by-step explanation:

I=prt

1440=4000(r)0.09

4000r * 0.09 = 1440

divide both sides by 4000 times 0.09

r = 4

Answer:

I mean I can give you some of my advice on 7 but I'm not too great on the others, but I hope this will help:

Step-by-step explanation:

Okay so on 7 you first need to figure out the amount of people in each grade and then you need to look at the premade answers and try to split it up AND on the total part you need to put how many people all together. If I'm not mistaken, I'm pretty sure there are more right-handed people, then left-handed people on 7th graders.