Calculate the area of a rectangle with the base of 12 feet and height of 3 feet. PLS hurry

Answer:

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.

Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval are additive , linearity , continuity , monotonicity and upper and lowersums.

1. Additivity: The definite integral of a sum is equal to the sum of the definite integrals.

2. Linearity: The definite integral of a linear function is equal to the product of the function's slope and the length of the interval.

3. Continuity: The definite integral of a continuous function is equal to the area under the curve between two points.

4. Monotonicity: If a function is increasing or decreasing on a given interval, then the definite integral of the function is also increasing or decreasing.

5. Upper and Lower Sums: The upper and lower sums of a function are the sums of the areas of rectangles constructed under or over the curve between two points. The definite integral of the function is equal to the difference between the upper and lower sums.

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Answer: 15 - h - 3

Step-by-step explanation:

A 80% confidence interval for the slope of the population regression line is answers precise to at least two decimal places is Lower limit : 16.4083 and Upper limit : 49.9587 .

Given :

A least-squares regression on the data he collected produces the equation

y =37.67 + 33.18x

where x is metatarsal - to - femur ratio and ŷ is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94.

The sample number is 49 species (here we assume that all the individuals of a the same species are summarised with a central tendency measure.

33.18 - 2.1123 ( 7.94 ) ≤ β ≤ 33.18 + 2.1123 ( 7.94 )

16.4083 ≤ β ≤  49.9587 .

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The equation of oscilating plane at the point on the curve corresponding to the indicated value of t, r(t)=i + 2tj +t^2k; t=1 is

x - 1 = 0.

Unit tangent vector, T(t) at t = 1 is

T(t) = (√2/2 ) j +(√2/2 ) k

Principle Normal vector at t = 1 is N(1) = - (√2/2 ) j + (√2/2 ) k

We have , x,y,z for the osculating plane at the point on the curve corresponding to the indicated value of t.

r(t) = i + 2t j + t² k

So, r'(t) = 0 i + 2 j + 2t k

Unit tangent vector , say T(t) is

T(t) = (0 i + 2 j + 2t k )/√0+(2)²+ (2t)²

T(t) =( 2 j + 2t k)/√4+ 4t² = 2(j+k)/2√1+t²

T(t) = (j + t k) / √1+t²

At t = 1 , T(t) = (j + k )/√1+1 = (j+k)/√2

T(t) = (√2/2 ) j + (√2/2 ) k

Now, tangent vector and normal vector prependicular to each other.

So, principle vector is N(1) = - (√2/2 ) j + (√2/2 ) k

Now, binormal vector is B = T×N

= | i j k |

| 0 √2/2 √2/2 |

| 0 -√2/2 √2/2 |

= <1,0,0>

Equation of oscilating plane is

1( x- 1) + 0(y - 2) + 0( z - 1) = 0

=> x = 1

Hence, equation of oscilating plane is x-1 = 0

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The values of z in the regular polygon  is 21.

A regular polygon is a polygon with congruent sides and equal angles.

To calculate the value of z in the regular polygon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for z

Hence, the values of z is 21.

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The given statement ,the analysis of total variability into between-treatments and within-treatments variability is the same for a repeated-measures ANOVA and an independent-measure ANOVA is true.

The first stage of the repeated-measures ANOVA is identical to the independent-measures analysis and splits the overall variability into two components: between-treatments and within-treatments

Measurements that are repeated ANOVA is the extension of the dependent t-test and is the equivalent of one-way ANOVA for related, rather than independent, groups.

A repeated measures ANOVA is often referred to as a within-subjects ANOVA or ANOVA for correlated samples. The term "responsibility" refers to the act of determining whether or not a person is responsible for his or her own actions.

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Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.

If a quantitative variable is often obtained through measuring or counting, it can either be continuous or discrete. If a variable can take on any two particular real values and all other real values in between, it is said to be continuous over a range of real values.

First, when is a variable continuous and when is it discrete?

A variable is continuous if it can take any value (or at least a dense set of values) inside a certain interval as opposed to discrete if it can only take a few specific values on that interval.

For instance, the only possible values for the numbers one can roll on a dice are 1, 2, 3, 4, 5, and 6, to provide one example.

The variable in this instance now stands for time. Time is nearly always a continuous variable; in this instance, the time refers to the duration of a mile run. Therefore, that variable is capable of practically any value (depends on the speed of the person).

Therefore,

Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.

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For the given diagram 1. d) all of them are correct, 2. d)none of them are correct and Total Revenue is 3. b. $90,125

1.

Marginal Revenue is

the change in Total Revenue/Change in units of output produced

In the given question the price of the output is fixed at $125.

Hence no matter what the quantity of output sold, every additional output produced will generate an additional revenue of $125.

hence option d) all of them are correct has to be chosen.

2.

Now we already know that if the price has been fixed at $125, the marginal revenue generated cannot be anything but $125.

Hence, option d) None of them are correct.

3.

Total Revenue = Price X Quantity

Here it is given that the Price is $175

Output is 515 units

Hence, the Total Revenue will be $(175  X  515)

= $90125

Hence, option b. $90125 is correct.

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Complete Question

(Image Attached)

Answer:

Step-by-step explanation:

The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.

By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.

First use Euclid's algorithm to find the GCD:

3984 = 588 ×6 + 456

588 = 456×1 +132

456= 132 ×3 + 60

132 =  60×2 +12

60 = 12×5+0

The last non-zero remainder is 12.

Thus, the greatest common divisor is 12.

Now we use the extended algorithm:

12 = 132 +(-2)×60

    = 132 + (-2)×(456 + (-3)×132))

    = (-2)×456 + 7×132

    = (-2)×456 + 7×(588 +(-1)×456))

   = 7×588 + (-9)×(3984 +(-6)×588))

   = 61×588 + (-9)×3984

Thus, a = -9 and b = 61.

Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

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The value of BC = 25 using properties of triangle.

What are properties of triangle ?

Let us discuss here some of the properties of triangles.

1. A triangle has three sides and three angles.

2. The sum of the angles of a triangle is always 180 degrees.

3. The exterior angles of a triangle always add up to 360 degrees.

4. The sum of consecutive interior and exterior angle is supplementary.

Properties for isosceles:

Isosceles triangles are those triangles that have at least two sides of equal measure.

1. Two equal sides and two equal angles.

2. The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.

3. The side opposite the vertex angle is called the base and base angles are equal.

Using 1st property,

in given triangle two angles are equal then opposite side will also be equal.

So, AB = AC

i.e. 4x+4 = 6x-14

4+14 = 6x-4x

18 = 2x

x = 9

Putting value of x in BC

BC = 2*9 +7

     = 18+7

     = 25.

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Answer: I believe its:  An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.

Step-by-step explanation:

well, 52.25 - 30.25 is 22$

22 divided by 4 is 5.50

4 times x plus 30.25 is 52.25

so 4x+30.25= 52.25

Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.

It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.

Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.

Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."

∀xA⇒A(x↔a}

for every formula A and every term a, where A(x↔a}  is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of

∀xA.

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The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).

The alternative provides a function that can represent a graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c)

Reason:

The graph's description is as follows:

Three points on the graph deviate from the x-axis.

Therefore;

The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.

The graph once almost linearly crosses the x-axis.

Therefore;

The first equation's function contains a single zero or component, such as (x - c), so;

The function is a potential representation of the graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c).

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Answer: 13

Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.

The rate of change of the line that contains the two points (-1, -4) and (5, 4) is 4/3.

The rate of change for a line is the slope, the rise over run, or the change in over the change in.

The slope of line can be calculated using the formula, slope =(y2-y1)/(x2-x1).

The given coordinate points are (-1, -4) and (5, 4).

Now, slope = (4-(-4))/(5-(-1))

= (4+4)/(5+1)

= 8/6

= 4/3

Therefore, the slope of a line is 4/3.

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Answer:

4/15

Step-by-step explanation:

To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).

We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.

2/5x3= 6/15.    1/3x5=5/15.

Now we're viewing the book in 15ths instead of both 5ths and 3rds.

6+5=11, so we know that 11/15 of the book has been read.

15/15-11/15=4/15

4/15 of the book is left to read.

Hope this explanation helped!

Answer:

The answer is 28d + 36.

Answer:

Billy has 295, maria has 360 we can do this by doing 20 x 14 then add 15 = 295 then for maria 25 x 14 then add 10. Maria made more. Billy will have less

OR

less

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

 maria earned more than billy

Both Alpha and Beta Have a dominant strategy to price low

delta and united both Have a successful pricing plan

What do the terms "alpha" and "Beta" mean pricing?

Using an approach known as alpha-beta pruning, the mini max algorithm can examine fewer nodes in its search tree.

Reason: Regardless of what the other party decides, both firms opt for low prices. Therefore, it is both companies' dominating strategy.

Both Alpha and Beta advise against raising prices.

Reason: Regardless of what the other enterprises do, both businesses have decided against raising prices. So the prevalent method is to keep costs the same.

The major strategy of both businesses is to remain the same. Therefore, both statements A and B are true.

Due to the fact that both companies always opt to remain the same, regardless of what the other player does.

Both Alpha and Beta Have a dominant strategy to price low

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The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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Answer:

  y = 2x³-6x²-2x +6

Step-by-step explanation:

You want the equation of a graph with two turning points, and x-intercepts at -1, +1, and +3. The y-intercept is 6.

Each x-intercept of x=p means the equation has a factor of (x -p). This means the factored equation will be ...

  y = a(x +1)(x -1)(x -3) = a(x² -1)(x -3) = a(x³ -3x² -x +3)

The y-intercept is 3a = 6, so a = 2 and the function is ...

  y = 2x³ -6x² -2x +6

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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Answer: -2 1/8

Step-by-step explanation:

3 1/2 = 3 4/8

5 5/8 - 3 4/8 = 2 1/8

Add the negative sign back to get -2 1/8

Answer:

12.2 years

Step-by-step explanation:

To solve, use the exponential growth formula:

[tex]A_t=A_0(1+r)^x[/tex]

where

[tex]A_t[/tex] = Amount as a function of time ($15500)

[tex]A_0[/tex] = Original amount ($5400)

[tex]r[/tex] = rate (.09)

[tex]x[/tex] = time in years

So,

[tex]15500=5400(1+.09)^x\\15500(\frac{1}{5400})=5400(1.09)^x(\frac{1}{5400})\\2.87=1.09^x\\\log_{1.09}2.87=\log_{1.09}1.09^x[/tex]

Use the logarithmic rules that state [tex]\log_{a}a=1[/tex] and [tex]\log_{a}a^b=b\log_{a}a[/tex]:

So,

[tex]\log_{1.09}2.87=x\\12.24\ years=x[/tex]

a pair of congruent angles are:

3x+4 = (3×12) +4 = 40°

5x - 20 = (5×12) -20 = 40°

The sizes of congruent angles are same. Simply by looking at the specified angles' measurements, congruent angles may be discovered. However, it is not necessary for the terminals used to create these angles to be the same length and direction.

We have been given a different description for each angle.

Let, the number referred to be x

four more than three times a number: 3x + 4

twenty less than five times the number: 5x - 20

So, 5x - 20 =  3x + 4

or, 2x = 24

or, x = 12

The angles are:

3x+4 = (3×12) +4 = 40°

5x - 20 = (5×12) -20 = 40°

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To solve this system of differential equations using the series method, we can assume that the solution can be expressed as a power series in both x and y:

[tex]u(x,y) = a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + ...[/tex]

Substituting this expression into each of the differential equations and collecting the coefficients of each term gives us the following system of equations:

a0 + 5a0 = 0

a1 + 5a2 = 0

a2 + 5a1 = 0

a4 + 5a4 = 0

a5 + 5*a5 = 0

Solving this system of equations gives us the following values for the coefficients:

a0 = 0

a1 = 0

a2 = 0

a3 = 0

a4 = 0

a5 = 0

Therefore, the power series expansion of the solution is:

u(x,y) = 0

This means that the only solution to the differential equations is the trivial solution u(x,y) = 0.

Note that this method of solving differential equations using power series is only applicable if the differential equations are linear and homogeneous, which means that the coefficients of the terms in the differential equations do not depend on x and y, and the right-hand sides of the equations are all equal to 0. If the differential equations are nonlinear or inhomogeneous, other methods may be required to find their solutions.

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The opposite number of 2/3 is given as follows:

-2/3.

The opposite of a number is the number that is the same distance from zero as the number, however, on the other side of the line.

The number in this problem is given as follows:

2/3.

Which also has an absolute value of 2/3, meaning that it is 2/3 units away from the origin.

On the opposite side, the number that is also 2/3 units away from the origin is given as follows:

0 - 2/3 = -2/3.

Meaning that the number -2/3 is the opposite number to the number 2/3 given in this problem.

(it could be obtained also just changing the signal of the number, as the opposite of a number is the number with the signal exchanged);

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