Which is the solution to the inequality?

2 and three-fifths less-than b minus StartFraction 8 over 15 EndFraction

$0.64 is the monetary value.

We are given that a 4500 square foot roll of plastic wrap costs $23.95 and we are to determine the monetary value of a 120 square foot piece of plastic wrap.

Let us find the cost per square foot by dividing the total cost of the roll by the number of square feet in the roll:

$23.95/4500 = $0.005322 per square foot

Now, we can multiply the cost per square foot by the number of square feet needed for the party game (120) to find the monetary value of the piece of plastic wrap.

Therefore, the monetary value of that 120-square-foot piece of plastic wrap is:

$0.005322 x 120 = $0.64 (rounded to the nearest cent)

Hence, the monetary value of that 120-square-foot piece of plastic wrap is $0.64.

Learn more about area:

https://brainly.com/question/28948613

#SPJ11

36 miles is the fewest number of miles she can walk in February

There are 28 days in February.

Every third day is 28/3 = 9.333 = 9 days of walking.

since she walks four miles,

9*4 = 36

Hence, 36 miles is the fewest number of miles she can walk in February

Learn more about Distance here https://brainly.com/question/10428039

#SPJ4

From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.

The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.

Radius r= 3 inches

Height h= 10 inches

π = 3.14159

Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:

V = (1/3) × 3.14159 × 3² × 10

V ≈ 94.24777 cubic inches

Learn more about volume here: brainly.com/question/463363

#SPJ4

Answer:

dimension=2a×2a

area=4a^2

Step-by-step explanation:

since the radius of the circle is a

Then l= 2a

area of a square =l^2

area=2a×2a

Answer:

343m

Step-by-step explanation:

7*7*7=343

I'm sure it is right for the formula is :

L*w*h

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

Learn more about volume here:

https://brainly.com/question/13338592

#SPJ11

Answer:

D

Step-by-step explanation:

To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.

The ratio 3.4/2.2 can be expressed as a fraction in lowest terms as 17/11.

To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 17 and 11 is 1, as there are no common factors other than 1. Dividing 17 and 11 by 1 gives us the fraction 17/11, which is already in its simplest form.

In the given ratio 3.4/2.2, the numerator is 3.4 and the denominator is 2.2. To convert it into a fraction, we can express both the numerator and denominator as whole numbers by multiplying them by a power of 10. In this case, we multiply both 3.4 and 2.2 by 10 to get 34 and 22, respectively. The ratio then becomes 34/22. To simplify this fraction, we find the greatest common divisor of 34 and 22, which is 2. Dividing both the numerator and denominator by 2 gives us the fraction 17/11, which is the simplest form of the ratio.

Learn more about ratio here:

https://brainly.com/question/8482466

#SPJ11

Answer:

10

Step-by-step explanation:

A perfect square of \((a-b)^2\) should be in the form \(a^2-2ab+b^2\). In this case, \(a^2=1\), and \(b^2 =25\), so a=1 and b=5. Now, we need to find 2ab, so we do

2(1)(5)=10, so 10 goes in the blank.

For the budget constraint X + Y = 12, there is no optimal bundle that maximizes the utility function U(X, Y).

A) To find the optimal bundle, we need to maximize the utility function U(X, Y) subject to the budget constraint 3X + 5Y = 60.

Let's solve this problem using the Lagrange multiplier method:

1. Set up the Lagrangian function:

L(X, Y, λ) = -(X - 7)^2 - (Y - 7)^2 + λ(3X + 5Y - 60)

2. Find the first-order conditions:

∂L/∂X = -2(X - 7) + 3λ = 0

∂L/∂Y = -2(Y - 7) + 5λ = 0

∂L/∂λ = 3X + 5Y - 60 = 0

3. Solve the system of equations:

-2X + 14 + 3λ = 0    --(1)

-2Y + 14 + 5λ = 0    --(2)

3X + 5Y - 60 = 0     --(3)

From equations (1) and (2), we can solve for X and Y:

X = (14 - 3λ) / 2

Y = (14 - 5λ) / 2

Substituting these expressions into equation (3), we can solve for λ:

3(14 - 3λ) / 2 + 5(14 - 5λ) / 2 - 60 = 0

Simplifying and solving the equation, we find λ = -4.

Substituting λ = -4 back into X and Y expressions:

X = (14 - 3(-4)) / 2 = 13

Y = (14 - 5(-4)) / 2 = 9

Therefore, the optimal bundle is X = 13 and Y = 9.

B) To find the optimal bundle for the budget constraint X + Y = 12, we can rewrite it as Y = 12 - X.

Substituting this into the utility function, we have U(X) = -(X - 7)^2 - (12 - X - 7)^2.

To find the optimal bundle, we need to find the maximum value of U(X) by taking the derivative with respect to X and setting it equal to zero:

dU/dX = -2(X - 7) + 2(12 - X - 7) = 0

Simplifying the equation, we find:

-2X + 14 + 2X - 40 = 0

-26 = 0

Since -26 ≠ 0, there is no value of X that satisfies the first-order condition for optimization.

To read more about constraint, visit:

https://brainly.com/question/30667875

#SPJ11

The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

To know more about absolute value here.

https://brainly.com/question/1301718

#SPJ4

Answer:

6 hours

Step-by-step explanation:

75 x 6 = 450

Yes, the nonresponse rate can introduce bias into the study. when a significant proportion of the sample does not respond, the responses of those who do respond may not be representative of the entire population. This can lead to an inaccurate representation of the population and skewed results.

The various ways in which nonresponse bias can occur, such as when certain demographic groups are more likely to not respond or when those who do respond may have different characteristics than those who don't. Additionally, the magnitude of the nonresponse rate and the degree of nonresponse bias it creates can vary depending on the study design and data collection methods. To mitigate nonresponse bias, researchers may use weighting techniques or attempt to increase response rates through follow-up methods or incentives.

Nonresponse bias occurs when the individuals who do not participate in a study differ significantly from those who do participate. This difference can lead to an inaccurate representation of the population being studied, as the participants might not be a truly random sample. To ensure the validity of the study, it is important to minimize nonresponse bias by increasing the response rate and implementing strategies to ensure a representative sample of the population.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ11

Answer:

Step-by-step explanation:

a:

21 49 70

46 34 80

67 83 150

b: 34+49=83

c:

total no. of students = 150

no of boys who disapproved = 46

probability = 150/46 = 75/23

hope that helps!

Answer:

The answer is 9 3/5

I hope this helps :)

Yes, each expression does show the number of blueberries in each batch. 5 divided by 3, for example, equals 1 2/3, which is the number of blueberries in each batch. 3 divided by 5 also works, since it equals 0.6, which is the same as 1 2/3. 5 multiplied by 1/3, however, does not show the number of blueberries in each batch, since it equals 1 5/3.

Yes, 5/3 is the number of blueberries in each batch, as it is the total number of blueberries (5) divided by the number of batches (3). No, 3/5 is not the number of blueberries in each batch, as this is the number of batches divided by the number of blueberries. Yes, 1 2/3 is the number of blueberries in each batch, as this is the total number of blueberries (5) divided by the number of batches (3), with the remainder of 1 blueberry added to each batch. Yes, 3 divided by 5 is the number of blueberries in each batch, as this is the total number of blueberries (5) divided by the number of batches (3). No, 5 x 1/3 is not the number of blueberries in each batch, as this is the number of batches (3) multiplied by the fraction 1/3. Yes, 5 divided by 3 is the number of blueberries in each batch, as this is the total number of blueberries (5) divided by the number of batches (3).

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

The minimum οf the data is 81, the first quartile is 94, the median οf the data is 105, the third quartile is 129, and the maximum οf the data is 133.

A stem and leaf plοt is a graphical representatiοn οf a dataset that is used tο display and οrganize individual values. The plοt is made up οf twο parts: the "stem" and the "leaf." The stem is the left-hand side οf the plοt and represents the first οne οr twο digits οf the values, while the leaf is the right-hand side οf the plοt and represents the remaining digits.

This plοt shοws the distributiοn οf the data and allοws yοu tο quickly see the range οf values, the shape οf the distributiοn, and any οutliers οr gaps in the data.

The stem and leaf plot represents the following data:

Stem/Leaf                  Value

8 1 3                              813

9 0 3 4 7       903, 934, 974

10 4 7                     104, 107

11 5                                  15

12 9                               129

13                                    13

The five-number summary for the data is as follows:

The minimum of the data is 81.

The first quartile is 94.

The median of the data is 105.

The third quartile is 129.

The maximum of the data is 133.

To know more about stem and leaf plot visit:

brainly.com/question/12857419

#SPJ1

Answer:

minimum-81

first Q-95

median-109

third Q-127

maximum-136

Step-by-step explanation:

yurrrrr

As a continuous random variable's probability density function spans a wide range of values, the likelihood that it will take any particular value is equal to zero.

The probability that a continuous random variable takes any specific value is equal to zero because the probability density function is spread out over a range of values rather than assigning a specific probability to any one value. This means that the probability of any one specific value is effectively zero, as the probability of that value is spread out across the range. The probability of any range of values (e.g. the probability that the variable takes a value between 1 and 5) can be calculated, but not the probability of any one specific value. Nonetheless, the probability density function may be used to estimate the odds that any range will exist, as well as the likelihood that a variable would take a value in that range.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

For more such information on: volume

https://brainly.com/question/463363

#SPJ8

The Work required to pump water out of the spout  would be equal to 464,062.5 π

Given data :

3 ft, 4 ft, 5 ft A right triangular prism tank with a spout is given.

weight of water = 62.5 Ib/ft³

inner radius ( r ) = 3 x 2 =6 ft

Outer radius ( R ) = 3 x 4 = 12 ft

Height ( h ) = 3 x 5 = 15 ft

To determine the work required to pump water out of the spout

y = Vertical distance

dv = cross-section volume

dw = weight

The radius of the tank

Radius = ( r - R ) y/h + R

Radius = ( 6 - 12 ) y/15 + 12

So, Radius = 12 - 0.4y

dv ( cross section volume )

\(\pi r^2\\\\\pi (12 - 0.4y)^2dy\\\)

Weight of cross-section ( dw ) = 62.5 ( 12.5 - 0.4y )² π dy

The work done to pump water out of the spout will be

Work done =  ∫¹⁵₀ 62.5 ( 12.5 - 0.4y )² π dy

∴ Work done ( W ) = 464,062.5

Hence we can conclude that the Work required to pump water out of the spout  would be 464,062.5 π

Learn more about work here;

https://brainly.com/question/13148947

#SPJ1

Answer:

6-6

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

Answer:

I believe it is (C), the length of the golfers.

The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.

Because of this, we know A and B are already wrong.

Now we're left with C and D.

If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.

Which is why I believe, the length of the shots is the response variable.

ED2021

Goodluck :)

it is (C), the length of the golfers.

A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.

Here, we have,

The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.

Because of this, we know A and B are already wrong.

Now we're left with C and D.

If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.

This  is why, the length of the shots is the response variable.

to learn more on response variable click:

https://brainly.com/question/14662435

#SPJ2

Answer:

10x = 75 100 ft X = 7.5 3.

Step-by-step explanation:

The angle of rotation that moves position 2 to position 4 when a mechanic rotates the octagonal nut counterclockwise about its center is 45°

The octagonal nut has eight sides. The angle at each vertex is 135°.The figure below shows the positions of the nut with the corresponding numbers at each position:

When the mechanic rotates the octagonal nut counterclockwise about its center, position 2 is going to move to position 4, which means that a 45° rotation will take place because 2 and 4 are consecutive corners (next to each other).Therefore, the correct option is B. 45°.The rotation can be clockwise or counterclockwise. But as per the question, the rotation is counterclockwise.

To know more about angle of rotation visit :-

https://brainly.com/question/32853860

#SPJ11

Answer:

8.75

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

34 − 6 = 28

Answer:

£16,050

Step-by-step explanation:

Mark's current pay is £15,000.

His pay raise is 0.07(£15,000), or £1,050

His new pay is the sum of these two results:  £15,000 + £1,050 = £16,050

The magnitude and direction of the vector is 7.3 units and 15.9° north of east respectively.

option B.

To find the magnitude and direction of MN, we can use the distance formula and trigonometry.

The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Using the coordinates of M(-3,-2) and N(4,0), we get:

d = √((4 - (-3))² + (0 - (-2))²)

d = √(49 + 4)

d = √(53)

d ≈ 7.3 units

To find the direction, we can use trigonometry. We can first find the angle between the line and the positive x-axis using:

tan θ = (y₂ - y₁)/(x₂ - x₁)

tan θ = (0 - (-2))/(4 - (-3))

tan θ = 2/7

θ = arc tan (2/7) =  15.9°

Learn more about magnitude of vector here: https://brainly.com/question/3184914

#SPJ1