A wiring job uses 1,232 feet of cable for 56 outlets. what is the average number of feet per outlet?

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

The zero is 5

Step-by-step explanation:

The zeroes of f are the points where the graph f crosses the x-axis, which only occurs at x = 5.

After 7 weeks, the plant's approximate height is 8.7 cm.

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol.

Here,

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665

y = 1.2792 (7) - 0.1665

y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

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Answer:

(0.6, -1.4)

Step-by-step explanation:

The first one is the correct answer

The length of the segment JL in the triangle is 15.1 units

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the above as a guide, we need to make use of a cosine function

In a right triangle, the cosine of an angle is defined as the ratio of the length of the adjacent side to the hypotenuse.

In other words, if one angle of a right triangle has a measure of θ, the cosine of θ is given by:

cos(θ) = a/h

So, we have

cos(62) = JL/17

Cross multiply

So, we have

JL = 17 * sin(62)

This gives

JL = 15.1

Hence, the value of JL is 15.1 units

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Answer:

Is a or c

Step-by-step explanation:

step- by- step explanation

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

Exact fraction: 6/5

Exact Decimal: 1.2

Answer:

  12/5 = 2.4

Step-by-step explanation:

The fraction 6/10 can be reduced to simplify the addition.

  9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5

  = 12/5 = 2.4

__

The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.

The domain for the function g(x) = |x + 4|  = {1, 2, 3, 4} and the range is = {5, 6, 7, 8}

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

Given:

g(x) = |x + 4|

As, we know the domain is the input value.

So, x= 1

g(x) = 5

and, x=2

g(x) = 6

and, x= 3

g(x) = 7

and, x= 4

g(x) = 8

and, the range is the output value which is signifies by g(x).

Hence, the domain = {1, 2, 3, 4} and range = {5, 6, 7, 8}

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Answer:

the answer should be 126

Step-by-step explanation:

when you are looking for the area you multiple all of them so i should be right

Answer:

76.5

Step-by-step explanation:

6+3=9

1/2b*h

1/2*9*3=13.5

7*9=63

13.5+63=76.5

=76.5

The proper formula states that a sphere with a radius of \(15\) has a volume of 4/3π(\(15^{3}\)).

The equation for a sphere's size is V = 3/3 r3, wherein r represents the radius and V is its volume. 1⁄2 of an object's circumference makes up its radius. Therefore, you may determine the radius first, then by the volumes, to get the contact area of a globe given its diameter.

Both a circle as well as a sphere are round, if you compare them. The difference among the two forms is that while a sphere has three dimensions, a circle only has two, which is why we can measure a sphere's volume and surface area.

The formula for the volume of a sphere is V = 4/3π\(r^{3}\), where r is the radius of the sphere.

Substituting \(r=15\), we get

V = 4/3π(\(15^{3}\))

Therefore, the expression 4/3π(\(15^{3}\)) gives the volume of a sphere with radius \(15\).

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This can be done by finding the CPI or another price index for the same period. Once you have the GDP deflator, you can use the formula above to calculate the real GDP.

If you only know the nominal GDP, you cannot determine the real GDP. In order to determine the real GDP, you need to take into account inflation. This is done by adjusting the nominal GDP for inflation using a price index, such as the Consumer Price Index (CPI).The formula for calculating real GDP is:Real GDP = Nominal GDP / GDP DeflatorThe GDP deflator is a measure of inflation that takes into account changes in the prices of all goods and services produced in an economy. It is calculated by dividing nominal GDP by real GDP and multiplying by 100. This gives us a ratio of the current price level to the base year price level.

The base year price level is assigned a value of 100.Using this formula, we can see that if we know the nominal GDP and the GDP deflator, we can calculate the real GDP. For example, if the nominal GDP is $10 trillion and the GDP deflator is 120, the real GDP would be:Real GDP = $10 trillion / 1.2 = $8.33 trillionTherefore, in order to determine the real GDP if you only know the nominal GDP, you need to obtain the GDP deflator.

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Answer:

5/4

Step-by-step explanation:

Slope is y1-y2/x1-x2 so if you plug in the coordinates you get 4-(-1)/4-0 which you would get 5/4

Answer:

(21+12)=3(7+4)

This is true because they both equal 33.

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Answer:

the order is 30,60,90,120

Step-by-step explanation:

its ten times 3 then u just keep adding the same amount every ten.

Answer:

The probability that exactly 4 of them favour the new building project is 0.0768

what is Probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Step-by-step explanation:

We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represents the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or samples.

From the information given,

p = 40% = 40/100 = 0.4

q = 1 - p = 1 - 0.4

q = 0.6

n = 5

x = r = 4

Therefore,

P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)

P(x = 4) = 5 × 0.0256 × 0.6

P(x = 4) = 0.0768

Hence, The probability that exactly 4 of them favour the new building project is 0.0768.

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Step-by-step explanation:

Both function are always increasing so D is correct.

Answer:

-14+8=-6

12+7=19

Step-by-step explanation:

2 negatives always equals a positive.

The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.

Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result  of the trial court .

Hence, the statement is true because an offender  that was convicted of a crime can tend to files an  appeal with a higher court or appellate court so as to examine the trial court's decisions.

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Answer:

10 gallons of water

Step-by-step explanation:

4 divided by 24 equals 0.167 gallons per hour

0.167 times 60 equals 10 gallons in 60 hoursd

Athlete would have the best running economy Runner B: VO2 of 42 ml/kg/min at 7.5. Option B

To calculate exercise intensity in METs (metabolic equivalents), we need to know the resting metabolic rate (RMR) of an individual. Without the RMR information, we cannot determine the exercise intensity in METs for the 45-year-old male exercising at 2.26 L/min. Therefore, the exercise intensity in METs cannot be determined, and the correct answer is "Not enough information."

Regarding the question about which athlete has the best running economy, we can compare the VO2 values at the given running speeds.

Runner A: VO2 of 44 ml/kg/min at 8 mph

Runner B: VO2 of 42 ml/kg/min at 7.5 mph

Runner C: VO2 of 46 ml/kg/min at 9 mph

Running economy refers to the energy cost or oxygen consumption required to maintain a given running speed. In this case, a lower VO2 value indicates better running economy.

Comparing the given VO2 values, we can see that Runner B has the lowest VO2 of 42 ml/kg/min at 7.5 mph. This means Runner B has the best running economy among the three athletes. Option B

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Mean width of fabric = 23 millimeters

Standard deviation = 0.06 millimeters

The mean width of fabric specified a ove represents the average length of the width of all fabrics being produced in the factory. The mean width could have been obtained by taking the average of the width length of all fabrics produced in the factory. This means that not all fabrics have a width of 23 millimeters but the average width length of all fabrics produced is 23 millimeters.

Since all fabrics do not have the same width length, the standard deviation helps us determine how dispersed or spread out the different widths of fabrics are from the mean value. With a low standard deviation value of 0.06 millimeters, it shows that the various widths of fabric are closer to mean value.

Answer:

B*H

Step-by-step explanation:

Use the distance formula (you can look it up) and then multiply the longer side by the shorter side, thats it!

The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Renting the car for the weekend will cost Leslie $74.97.

Leslie is planning to rent a car for the weekend at a daily rate of $24.99. She is planning to pick up the car on Friday morning and returning it Sunday evening. To determine how much the rental will cost her, the total number of days the car will be rented needs to be calculated.

The rental period will be from Friday morning to Sunday evening, which translates to 3 days. Since the daily rate is $24.99, the total cost of renting the car for 3 days will be:

$24.99/day x 3 days = $74.97

Therefore, renting the car for the weekend will cost Leslie $74.97. It is important to note that this is the cost of the rental only and additional fees such as insurance, fuel, or mileage charges may apply. If any additional fees are applicable, they would be added to the base cost of the rental to determine the total cost of renting the car for the weekend.

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Answer:

-8.2 + (-5)

Step-by-step explanation:

I got you queen

Answer:

investigation isanswer