. cut a 16-ft beam into two pieces so that one piece is 22 in. longer than the other. find the length of the two pieces.

The maximum period of time they could reserve the meeting space is 9 hours.

Mathematical expressions with the symbols > and are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

An algebraic inequality expression is a mathematical statement that uses the it as a sign to connect an expression to a value, a variable, or another expression. One type of variable inequalities can have solutions that can be graphed either in a coordinate plane or on a number line.

Inequality expression is 31 + 5.9*t < 84.10.

To understand it, collect all constant on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10 % 5.9 = 9 hours.

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Correct Question:

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.90 per hour. The chemistry club wants to spend less than $84.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

None of the provided options is correct. The simplified value of the expression [(23)4]2 is 65536.

To simplify the expression [(23)4]2, we start by evaluating the exponent inside the inner parentheses:

(23)4 = 23 * 23 * 23 * 23

This results in 256. Now, we substitute this value back into the expression:

[(23)4]2 = 2562

Squaring 256 gives us 65536. Therefore, the simplified value of the expression [(23)4]2 is 65536.

So, the correct answer is not listed among the options provided. None of the given options (a) 17666216, b) 12222617, c) 17222167, d) 16777216) match the simplified value of 65536.

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Answer:

D. 63

Step-by-step explanation:

k/3 - 9 = 12

k/3 = 21

k = 63

Answer:

D. 63

Step-by-step explanation:

k / 3 - 9 = 12

Multiply both sides of the equation by 3.

k - 27 = 36

Solve for k.

k = 36 + 27

k = 63

Answer:

It is, because it is clear and true. It also gets straight to the point.

Step-by-step explanation:

\(-3s\textless11s+1\\\\\\\\-3s-11s < 1\\\\\\-14s < 1\\\\\\-s < \frac{1}{14} \\\\s > -\frac{1}{14}\)

===========================

\(\textcopyright ELIZA\)

a) The strength to weight ratio is 2/r. b) The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg. 2) a) Resistance is (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(a) The scaling relationship for the strength to weight ratio can be derived as follows. The strength of the object is proportional to its area, which for a cylinder can be expressed as A = 2πr(2r) = 4π\(r^2\). On the other hand, the weight of the object is proportional to its volume, given by V = π\(r^2\)(2r) = 2π\(r^3\). Therefore, the strength to weight ratio (S/W) can be calculated as (4π\(r^2\)) / (2π\(r^3\)) = 2/r.

(b) To compare the strength to weight ratio of a nanotube (r = 10 nm) and the leg of a flea (r = 100 μm), we substitute the respective values into the scaling relationship obtained in part (a). For the nanotube, the ratio becomes 2 / (10 nm) = 200 n\(m^{-1\), and for the flea's leg, it becomes 2 / (100 μm) = 2 × \(10^4\) μ\(m^{-1\). Therefore, the strength to weight ratio of the nanotube is 200 n\(m^{-1\) while that of the flea's leg is 2 × \(10^4\) μ\(m^{-1\). The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg.

(a) To find the resistance of a cube of gold with side length L = 1.00 cm, we need to calculate the area and substitute the values into the resistance formula. The area of one face of the cube is A = \(L^2\) = \((1.00 cm)^2\). Given that the resistivity of gold (rho) is 2.44 × \(10^{-4\) Ω⋅m, the resistance (R) can be calculated as R = (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(b) Similarly, for a cube of gold with side length L = 10.0 nm, the resistance can be calculated using the same formula as above, where A = \(L^2\) = \((10.0 nm)^2\) and rho = 2.44 × \(10^{-4\) Ω⋅m.

One application that utilizes the unique properties of nanomaterials is targeted drug delivery systems. In this application, nanomaterials, such as nanoparticles, play a crucial role. These nanoparticles can be functionalized to carry drugs or therapeutic agents to specific locations in the body. The small size of nanomaterials allows them to navigate through the body's biological barriers, such as cell membranes or the blood-brain barrier, with relative ease.

The particular property of nanomaterials that makes them suitable for targeted drug delivery is their large surface-to-volume ratio. Nanoparticles have a significantly larger surface area compared to their volume, enabling them to carry a higher payload of drugs. Additionally, the surface of nanomaterials can be modified with ligands or targeting moieties that specifically bind to receptors or biomarkers present at the target site.

By utilizing nanomaterials in targeted drug delivery, it is possible to enhance the therapeutic efficacy while minimizing side effects. The precise delivery of drugs to the desired site can reduce the required dosage and improve the bioavailability of the drug. Moreover, nanomaterials can protect the drugs from degradation and clearance, ensuring their sustained release at the target location. Overall, the unique properties of nanomaterials, particularly their high surface-to-volume ratio, enable efficient and targeted drug delivery systems that hold great promise in the field of medicine.

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Answer:

Length = 1092 meters

Step-by-step explanation:

Length * Width = Area

Length = Area / Width

Length = \(\frac{969696}{888}\) = 1092 meters

Answer:

\(x = 1.48 \: and \: y = - 1.38\)

Step-by-step explanation:

\(first \: equation\)

\(x - 4y = 7\)

\(second \: equation\)

\(5x + y = 6\)

\(from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y\)

\(x =7 + 4y \: {equation \: 3}\)

\(substitutefor \: x \: in \: equation \: 2\)

\(5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ \)

\(y = \frac{ - 29}{21} \)

\(y = - 1.38\)

\(subsitute \: for \: y \: into \: equation \: 3\)

\(x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48\)

From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".

For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.

Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.

And so on.

Answer:

1944 Cars

Step-by-step explanation:

108 x 18=1944

We must first multiply 108 x 18. If it is asking to multiply the dependant variable 18 cars, we have to keep on multiplying 18, 108 times. So the answer is 1,944.

Answer:

8.9

Step-by-step explanation:

--------------------------

The area of ΔEFG is 8.9 square centimeter.

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

In ΔEFG

g = 5.2 cm

e = 5.1 cm  

∠F=42°.

Area of SAS triangle = \(\frac{1}{2} absinC\)

Area = \(\frac{1}{2} (5.2)(5.1)sin42^{0}\)

Area = 8.873 ≅ 8.9 (nearest  tenth)

Hence, the area of ΔEFG is 8.9 square centimeter.

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There is a 21.19% chance that the daily production falls within 32.3 and 36.9 liters.

To find the probability that the daily production of a herd of cows is between 32.3 and 36.9 liters, we need to use the normal distribution properties.

Given that the mean daily production of the herd of cows is 30 liters and the standard deviation is 8.2 liters, we can standardize the distribution and use the standard normal distribution table or calculator. We calculate the z-scores for the values 32.3 and 36.9, which tells us how many standard deviations away from the mean each value is.

Using a standard normal cumulative distribution function, we can find that the probability of the daily production falling between 32.3 and 36.9 liters is approximately 0.2119. This means that there is a 21.19% chance that the daily production falls within this range.

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The probability that daily production is between 32.3 and 36.9 liters is 0.18949 or 18.9%.

To determine the probability that the herd's daily production will be between 32.3 and 36.9 liters, we must compute the z-scores for each number and use a standard normal distribution table to calculate the area under the curve between those z-scores.

To find out the z - scores we need use z-score formula:

Z = X−μ / σ

where μ  is the mean, σ is the standard deviation and X is the observed value. In the problem μ  is 30 liters, X₁ = 32.3 liters & X₂ = 36.9 liters and σ = 8.2 liters.

Substituting the values in the equation to find the z-score for 32.3 liters is:

z₁ = (32.3 - 30) / 8.2 = 0.2804

z₁ = 0.28049

Substituting the values in the equation to find the z-score for 36.9 liters is:

z₂ =( 36.9 - 30) / 8.2 =  0.8414

z₂ = 0.8414

We can determine the area under the curve between these two z-scores using a conventional normal distribution table. The area between z = 0.28049 and z = 0.8414 and the probability is approximately 0.1894.

As a result, the probability that the herd's daily output is between 32.3 and 36.9 liters is about 0.1894.

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Answer:

62+75+85+63+69+72+76+84+87+88 = 761

total scores is 10 then divde 761 by the total number of scores which is 10

761÷10 = 76.1

Answer: x=10  x=2

Step-by-step explanation: your welcome kid

Given,

Expanding the terms,

Hence, (f + g)x is 8x - 4.

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Answer:

5.70

Step-by-step explanation:

if u think my answer is correct then pls dont forget to give brainliest.

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Answer:

3440 members

Step-by-step explanation:

2000->100%

?-> [100+12]112%

112*2000/100

2240 members in the first year

2240-2000=240[increase in members-rep 12% growth]

240m->1 year

? ->6 years

240*6 years/1 year

1440 members growth in 6 years

2000+1440=3440

The value of x is equivalent to k in the equations x + y = k and x-k = y.

How do equations work?

A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.

the equations provided are,

x + y = k (1) (1)

thus, x-k = y (2)

Substitute the value of y in equation (2) for equation (1)

2x=2k

⇒x=k

As a result, x has the value k.

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Answer:

<5 is the remote interior angle to <1

They are on the same line, or, they are supplementary, and will add up to 180 degrees

The remote interior angles of ∠1 are ∠2 and ∠3.

Hence, Option (b) and (c) are correct.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that:

A triangle with marked angles.

We have to find the remote interior angles of angle 1.

Now, We know that;

Remote interior angles are the two angle that are inside the triangle and are opposite from the exterior angle.

Also, Remote interior angles don't share a vertex or corner of a triangle with the exterior angle.  

Thus, for the remote interior angles of angle 1 are angle 2 and angle 3  as they do not share a vertex or corner of a triangle with the exterior angle.  

Thus, Option (b) and (c) are correct.

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Answer:

whats an exponent

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

5.D1.3 select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display

Step-by-step explanation:

After answering the presented question, we can conclude that The point of intersection of these two equations is (2, 0), which is the spot on the graph where the parabola and line intersect.

An equation is a mathematical statement that validates the equivalent of two expressions linked by the equal symbol '='. For example, 2x - 5 = 13. 2x-5 and 13 are two phrases. The character '=' is used to connect the two expressions. An equation is a mathematical formula that has two algebras on either side of an assignment operator (=). It illustrates the equivalency relationship between the left and middle formulas. In any formula, L.H.S. = R.H.S. (left side = right side).

The graph represents the following equation system:

\(y = x^2 + 3x + 2 x + y = 2\)

This is due to the fact that the graph of a quadratic function intersecting a linear function at point (2, 0) is represented by a parabola and a straight line intersecting at that point (2, 0).

The equation \(y = x^2 + 3x + 2\) represents an upward-opening parabola that goes through the point (-2, 0).

The equation x + y = 2 denotes a straight line that connects the locations (0, 2) and (2, 0).

The point of intersection of these two equations is (2, 0), which is the spot on the graph where the parabola and line intersect.

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Answer:

BCF

Step-by-step explanation:

Answer:

Step-by-step explanation:

An equation has infinitely many solutions if the variable cancels and constants are same on left and right sides of the equation

Let the right side be an expression m, then

So we need same expression on the right side, the equation is:

Answer:

30, because the pattern goes: -15, -6, 15, -6 ...

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