Find the solution(s) of the following equation.
y^3=343
Choose all answers that apply: A: y=7
B: y=-7
C: y=9
D: y=-9
E: None of the above

The time which both of take to deliver 51 papers is 3.4hours.

Since, we have time which Maria and Charlie are taking to deliver 45 papers.

Whenever some relation is given for any object with time and it is asking same relation at any other time, we need to use unitary methods.

So, we use unitary method.

45 papers are delivered in =3 hours

1 paper is delivered in =(3/45)hours

Therefore, 51 papers are delivered in :

=(3/45)×51hours

=(51/15)hours

=17/5hours

=3.4hours

Hence, 3.4 hours will be taken by both to deliver 51 papers.

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Step-by-step explanation:

here's the answer to your question

Answer:

\(g(x) \times f(x) = 3{x}^{3} -3x\)

X exists for all real numbers.

Y exists for all real numbers.

Answer: 98.6

Step-by-step explanation:

5.8 can be broken down into 5 & 0.8

17 timed 5 = 85

17 timed 0.8 = 13.6

85+13.6 = 98.6

Option B is correct.

Given that   Function G(F(x)) = (x - 5)3 + x - 5 ;

Lets take a function G(x) = x3 + x as (i) and check that it will produce the above equation or not.

Now suppose that the value of the function F(x) = x-5 as (ii) , using this value we will check that whether it support the value for g(x) or not.

Put the value of  function  f(x) in the equation number i , it will be like this :

G(f(x)) = f(x)3 + f(x)

we know that the value of f(x) from (ii)

Therefore, G(f(x)) will be :

G(f(x)) =  (x - 5)3 + x - 5, this will satisfy the above equation which means our supposition was correct. Hence the correct ans is B

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Answer:

v=520 -10t

Step-by-step explanation:

the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.

V = 520 - 10t is the representation of the decrement of the volume of the fish tank.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that volume of fish tank = 520 inch³

Now since volume is decreasing at a rate of 10 inche³/minute

Decrement of t minutes = 10t

So,

New volume = Original volume - decrement of t minutes

V = 520 - 10t

Hence "v = 520 - 10t is the representation of the decrement of the volume of the fish tank".

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The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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Answer:

(-2,3)

Step-by-step explanation:

Multiply the second equation by -1.

5x+2y=-4

3x-2y=-12

Linear combination

8x=-4-12

8x=-16

x=-2

Solve for y

5(-2)+2y=-4

-10+2y=-4

2y=6

y=3

Answer:   \(\frac{x^8}{256y^{20}}\)

If the font is too small, it says x^8 all over top 256y^20 as one big fraction.

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

Work Shown:

\(\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\\)

Answer:

the answer is c) or 6. I hope it helps

Answer:

the answer is C.6

Step-by-step explanation:

when solving this you are going back up the number line... which is positve because you are adding, if the question was what is the distance from -2 to -8 it would be negitive 6 because you are going down the line!

Answer:

$100

Step-by-step explanation:

The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.

The study of statistics rests on two major​ concepts:

Variation and Data.

Correct option is C.

Statistics is simply defined as the study and manipulation of data. Statistics deals with the analysis and computation of numerical data.

Given,

The study of statistics rests on what two major​ concepts:

Variance and Data

The basics of statistics include the measure of central tendency and the measure of variation. The central tendencies are mean, median and mode and variation, comprise variance and standard deviation.

Mean is the average of the observations. Median is the central value when observations are arranged in order. The mode determines the most frequent observations in a data set.

Hence, Variation and Data are two major concepts, on which study of statistics rely.

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Answer:corresponding

Step-by-step explanation:

Answer:

Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.

Also,

SOH- opposite/hypotenuse

CAH- adjacent/hypotenuse

TOA- opposite/adjacent

Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!

Therefore , the solution of the given problem of inequality comes out to be the solutions x = -6 or x = -10 would be acceptable.

Algebra, which lacking a symbol for this difference, can represent it using a pair or group of numbers. Equity usually comes after equilibrium. Inequality is bred by the persistent gap of standards. Equality and disparity are not the same thing. As was my least preferred symbol, notwithstanding knowing that the pieces are often not connected or close to one another. (). No matter how small the variations, they all affect value.

Here,

Finding values of x that cause the left side of the inequality to be bigger than the right side is necessary to make the inequality -2x > 10 true. Divide both sides by -2 and invert the inequality sign to achieve this:

=> -2x > 10

=> x < -5

The inequality is therefore true for any value of x that is less than -5. For instance, the solutions x = -6 or x = -10 would be acceptable.

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Take 2 points

Slope:-

\(\\ \tt\hookrightarrow m=\dfrac{19-17}{7-6}=2\)

Equation in point slope form

\(\\ \tt\hookrightarrow y-17=2(x-6)\)

\(\\ \tt\hookrightarrow y-17=2x-12\)

\(\\ \tt\hookrightarrow y=2x+5\)

Answer:

0.

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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- 0.0964 mol of potassium is equal to 2.3092 grams.
- 0.250 mol of cadmium is equal to 59.44 grams.
- 0.690 mol of argon is equal to 15.784 grams.

To convert from moles to grams, you need to use the molar mass of the element. The molar mass is the mass of one mole of atoms or molecules of a substance.

1. For potassium (K), the molar mass is 39.10 grams/mole. To find the mass in grams, you multiply the given mole amount by the molar mass:
0.0964 mol * 39.10 g/mol = 2.3092 grams.

2. For cadmium (Cd), the molar mass is 112.41 grams/mole. Again, multiply the given mole amount by the molar mass to find the mass in grams:
0.250 mol * 112.41 g/mol = 59.44 grams.

3. For argon (Ar), the molar mass is 39.95 grams/mole. Multiply the given mole amount by the molar mass to obtain the mass in grams:
0.690 mol * 39.95 g/mol = 15.784 grams.

Therefore, 0.0964 mol of potassium is equal to 2.3092 grams, 0.250 mol of cadmium is equal to 59.44 grams, and 0.690 mol of argon is equal to 15.784 grams.

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To convert moles to grams, use the formula: Mass (grams) = Moles × Molar mass (grams/mol). For 0.0964 mol of potassium, the mass is 3.77 grams. For 0.250 mol of cadmium, the mass is 28.1 grams. For 0.690 mol of argon, the mass is 27.7 grams.

To convert moles to grams, we need to use the formula:

Mass (grams) = Moles × Molar mass (grams/mol)

1. For potassium (K), the molar mass is 39.1 grams/mol. So, for 0.0964 mol of potassium:

2. For cadmium (Cd), the molar mass is 112.4 grams/mol. So, for 0.250 mol of cadmium:

3. For argon (Ar), the molar mass is 39.9 grams/mol. So, for 0.690 mol of argon:

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Answer:

Perpendicular refers to that which has a right angle in relation to the intersection of two lines or planes. ... As seen in the Cartesian plane, what defines a line as perpendicular is its point of intersection with another line.

Step-by-step explanation:

Answer:

1500 calories

Step-by-step explanation:

2400 is 100% of in this case, 8/8

So then we know that 1/8 of 2400 is 300 because we just divide it by 8. Sarah eats 5/8 that much so we multiply 300 by 5 which gives us 1500

Answer:

2400 x 5/8 = 1500

Step-by-step explanation:

Just multiply the fraction they gave u

(a) Yes, there is a contact resistance at the junction of materials A and B. Its magnitude is 0.0384 m^2∘C/W.

(b) The exact temperature jump at the interface cannot be calculated without the surface area of the interface.

(c) If there was no contact resistance, the thickness of slab A should be increased to maintain the same heat flux, but the percentage increase cannot be determined without the surface area information.

(a) Yes, there is a contact resistance at the junction of materials A and B. Its magnitude can be determined using the equation for thermal resistance at the contact interface:

R_contact = (1 / h_interface) - (1 / h_A)

where R_contact is the contact resistance, h_interface is the heat transfer coefficient at the interface, and h_A is the heat transfer coefficient for material A. Substituting the given values:

R_contact = (1 / 26) - (1 / 180) = 0.0384 m^2∘C/W

(b) The temperature jump at the interface can be calculated using the equation:

ΔT_interface = Q / (h_interface × A_interface)

where ΔT_interface is the temperature jump, Q is the heat transfer rate, h_interface is the heat transfer coefficient at the interface, and A_interface is the surface area of the interface. As the area of the interface is not provided, we cannot calculate the exact value of ΔT_interface.

(c) If there was no contact resistance, the thickness of slab A would need to be increased to achieve the same heat flux. The heat flux (q) can be calculated using the equation:

q = (T_hot - T_cold) / (R_total)

where T_hot is the temperature of the hot fluid, T_cold is the temperature of the air, and R_total is the total thermal resistance of the composite wall. The total thermal resistance is the sum of the resistances of materials A and B and the contact resistance:

R_total = R_A + R_contact + R_B

To maintain the same heat flux, we can equate the two expressions for q and solve for the new thickness of slab A, denoted as t_A':

q = (T_hot - T_cold) / (R_A + R_contact + R_B)

q = (T_hot - T_cold) / (k_A × A_A / t_A' + R_contact + k_B × A_B / t_B)

where t_A' is the new thickness of slab A, A_A and A_B are the surface areas of materials A and B, and t_B is the thickness of slab B.

To solve for t_A', we rearrange the equation:

k_A × A_A / t_A' = q × (R_A + R_contact + R_B) - k_B × A_B / t_B

t_A' = k_A × A_A / (q × (R_A + R_contact + R_B) - k_B × A_B / t_B)

Substituting the given values and the previously calculated contact resistance:

t_A' = (10 × A_A) / (q × (0.15 + 0.0384 + 0.2) - 16 × A_B / 0.2)

Note: The values of A_A and A_B are not provided, so the final percentage increase in thickness cannot be calculated without that information.

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Answer:

The enumerated powers of the United States Congress are the powers granted to the federal government of the United States. Most of these powers are listed in Article I, Section 8 of the United States Constitution.

Step-by-step explanation:

Question 1: The Boyce-Codd normal form is more strict than the fourth normal form. False. Boyce-Codd Normal Form (BCNF) is less strict than Fourth Normal Form (4NF) in the sense that it is only guaranteed to preserve nontrivial functional dependencies.

On the other hand, 4NF goes a step further and preserves multivalued dependencies as well. Hence, the statement is False.

Question 8: The given relational model STUDENT (student number, name, address, phone number), all the fields are already normalized. Thus, the correct answer is: all fields are normalized.

Question 9: Recursive relationships are those relationships in which the entities are related to themselves. The unary relationship is a recursive relationship type. Thus, the correct option is: unary

.Question 10: In a unary relationship, a foreign key cannot be NULL. Hence, the statement is False.

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B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Good luck with the test! :)

The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

"An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity."

"The curves visit these asymptotes but never overtake them. The method opted to find the horizontal asymptote changes involves comparing the degrees of the polynomials in the numerator and denominator of the function. If both the polynomials have the same degree, divide the coefficients of the largest degree terms."

From the equation, y = 11.95x + 25

And from the given graph it is clear that the horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

Hence, A is the correct option.

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The cost when two plans cost the same amount is $90, and the amount of calling for which the two plans cost the same is 650 minutes.

An algebraic expression is an equation made up of variables and arithmetic operations like multiplication and division.

Assume that the two plans have the same costs when x minutes are called.

Therefore, the algebraic statement can be expressed as 26 + (0.10) = 0 + (0.14),

or Plan A Equals Plan B.

By solving this, we can determine how many minutes each of the two plans will cost:

650 minutes are equal to 26 = 0.10x - 0.14x 0.04x.

B) The price when two plans have the same price:

Plan A = 26 + 0.10 x 650

           = 26 + 65 = $90,

or Plan A Equals Plan B = $90.

The following are the answers:

A) Calling for 650 minutes will be equal in price between the two plans.

B) The price is $90 when two plans have the same price.

Hence, The cost when two plans cost the same amount is $90, and the amount of calling for which the two plans cost the same is 650 minutes.

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Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert \(\frac{44}{55}\) into a percentage.  \(\frac{44}{55}\)  can be simplified to \(\frac{4}{5}\) which is also 80%.

Answer:

Step-by-step explanation:

44 out of 55

divide :44/55=0.8

to convert it to decimal  you multiply by 100 and put percentage next to it

0.8*100=80

%80

The given statements represent the transitive property of equality.

The order of the letters in the options is a bit confusing, but assuming that each letter represents a point in a triangle, the correct answer would be:

A. LK, JL, KJ

This is because the order of the letters represents the order of the vertices in a triangle. In triangle LKJ, the vertices should be listed in the order LK, KJ, JL. This matches option A.

The given statement is a list of four sets of points: A, B, C, and D. Each set contains three points labeled with letters. The points within each set are collinear, meaning they lie on the same straight line. Based on this information, we can conclude that each set represents a line segment.

Therefore, we can rewrite the statement as AB, BC, CD, and DA are line segments. Additionally, we can determine that the order of the points matters, as reversing the order would result in a different line segment.

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