Say whether or not the following pairs of expressions are unifiable, and show the most general unifier for each unifiable pair:1.1.P(x, B, B) and P(A, y, z)2.P(g(f (v)), g(u)) and P(x, x)3.P(x, f (x)) and P(y, y)4.P(y, y, B) and P(z, x, z)5.2 + 3 = x and x = 3 + 3

Answer:

orange

Step-by-step explanation:

Answer: A. Orange Graph.

Step-by-step explanation: I put A, and it was the perfect answer.

Answer:

1135.38

Step-by-step explanation:

Original amount  = 1015;

First decrease = 6%

Followed by an increase  = 19%

Unknown:

Final amount:

Solution:

If 100% of a value implies multiplying by 1;

        6% decrease  = 0.94

        19% increase  = 1.19

Now;

Final amount  = 1015 x 0.94 x 1.19  = 1135.38

The nth term test is a mathematical method used to determine if a sequence converges or diverges. It helps to find the behavior of the sequence as n approaches infinity.

Here's how to do the nth term test:

Find the nth term formula for the given sequence.

Calculate the limit of the nth term as n approaches infinity.

Based on the value of the limit, determine if the sequence converges or diverges:

If the limit is finite and non-zero, the sequence diverges.

If the limit is finite and zero, the sequence converges to zero.

If the limit is infinite or does not exist, the sequence diverges.

The nth term test is important because it provides a quick and easy way to determine the behavior of a sequence, without having to calculate all the terms.

It's important to understand the nth term test and how to apply it, so that you can analyze the behavior of sequences in mathematics and other related fields.

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Step-by-step explanation:

Total tickets I sell =12

For every 3 tickets I sell, my friend sells 1 more.

I sell 12/3 (=4)sets of 3 tickets.

So, my friend sells 12 +4 (=16)tickets.

Answer:

\(P(Alive\ or\ Aliens) = 26\%\)

Step-by-step explanation:

Given

\(P(Alive) = 20\%\)

\(P(Aliens) = 10\%\)

\(P(Alive\ and\ Aliens) = 4\%\)

Required

Determine \(P(Alive\ or\ Aliens)\)

From laws of probabilities:

\(P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)\)

In this case:

\(P(Alive\ or\ Aliens) = P(Alive) + P(Aliens) - P(Alive\ and\ Aliens)\)

\(P(Alive\ or\ Aliens) = 20\% + 10\% - 4\%\)

\(P(Alive\ or\ Aliens) = 26\%\)

Answer:an observational study

Step-by-step explanation:

Answer:

r=52, v=9.96, a=-8.5 all calculated

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer: 102.144

Step-by-step explanation:

128 times 0.25 = 32

128 - 32 = 96

96 times 1.064 = 102.144

So, she will pay 102.144

Answer:

comost eawewqeq

Step-by-step explanation:

wqqweqe

Tanya yearly salary is

$35000 + 8% of her sales

Let her sales be x

Since, her sales is x

35000 + 0.08x > salary

To determine her necessary sales to earn over $50, 000

Let $50, 000 be her benchmark salary

35,000 + 0.08 * x > 50000

35000 + 0.08x > 50000

0.08x > 50000 - 350000

0.08x > 15000

Divide both sides by 0.08

0.08x/0.08 > 15000/0.08

x > 15000 / 0.08

x > 187,500

Therefore, she will need a sales of 188,000 and above to earn above $50,000

The linear speed of a point on the circumference is approximately 9895 feet per minute.

(a) To find the angular speed in radians per minute, we need to convert the given rotational speed from rpm (revolutions per minute) to radians per minute. Since there are 2π radians in one revolution, we can use the conversion factor:

Angular speed (in radians per minute) = Rotational speed (in rpm) * 2π

Given that the rotational speed is 2100 rpm, we can calculate the angular speed:

Angular speed = 2100 rpm * 2π ≈ 13194 radians per minute

Therefore, the angular speed of the wheel is approximately 13194 radians per minute.

(b) To find the linear speed of a point on the circumference in feet per minute, we can use the formula:

Linear speed = Angular speed * Radius

Given that the radius of the wheel is 9 inches, we need to convert it to feet:

Radius = 9 inches * (1 foot / 12 inches) = 0.75 feet

Now, we can calculate the linear speed:

Linear speed = 13194 radians per minute * 0.75 feet ≈ 9895 feet per minute

Therefore, the linear speed of a point on the circumference is approximately 9895 feet per minute.

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\(~~~~~~~\dfrac 25 x - \dfrac 12= n(4x-5)\\\\\\ \implies \dfrac{4x}{10}- \dfrac{5}{10} = n(4x-5)\\\\\\\ \implies \dfrac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \dfrac 1{10}~~~~~;\left[x \neq \dfrac 54 \right]\)

Answer:

255

Step-by-step explanation:

The summation value of the term in the series will be equal to

3 + 12 +48 + 192 after calculation.

Here, we have,

We know that, summation:

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

∑(n = 1 to 4) 3(4)^n-1

By solving the above term;

∑(n = 1 to 4) 3(4)^n-1

=3 + 12 +48 + 192

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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The solution for the last equation: 2y + 2z * 2z x is 167 where a slice of watermelon is x,  a grape is y, and one apple is z.

Let a slice of watermelon be x

Let one grape be y

Let one apple be z

2x + 4y + 2x = 30

4x + 4y = 30 ----- (1)

x + x + 2z = 28

2x + 2z = 28 --- (2)

4y + 2y + z = 31

6y + z = 31 ----(3)

Solving simultaneously for x, y, and z:

4x + 4y = 30 ----- (1)

2x + 2z = 28 --- (2)

6y + z = 31 ----(3)

We can simplify equation (1) by dividing both sides by 4, which gives:

x + y = 7.5 ----- (1')

We can simplify equation (2) by dividing both sides by 2, which gives:

x + z = 14 ----- (2')

We can use equation (1') to solve for y in terms of x:

y = 7.5 - x ----- (4)

We can use equation (2') to solve for z in terms of x:

z = 14 - x ----- (5)

Now we can substitute equations (4) and (5) into equation (3) to solve for x:

6(7.5 - x) + (14 - x) = 31

45 - 6x + 14 - x = 31

59 - 7x = 31

-7x = -28

x = 4

Now we can use equation (4) to solve for y:

y = 7.5 - x = 7.5 - 4

y = 3.5

And we can use equation (5) to solve for z:

z = 14 - x = 14 - 4

z = 10

Solving for the last equation: 2y + 2z * 2x

2 * 3.5 + 2 * 10 * 2 * 4 = = 167

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Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- \(a^{2} +b^{2} =c^{2}\)

a= 13

b= 9

c= ? ( length)

\(13^{2} +9^{2} =?^{2}\)

\(13^{2} =169\)

\(9^{2} =81\)

\(169+81=?^{2}\)

\(250=?^{2}\)

\(\sqrt{250}=15.811\)

\(?=15.81\)

OAmalOHopeO

Answer:

x-y=-6

Step-by-step explanation:

hope this helps and I hope you have a good day

Answer:

-11

Step-by-step explanation:

Answer:

5w + 15

$45

Step-by-step explanation:

(6)*(5) + 15 = $45

The amount of money Nayeli would have saved in W weeks is given by the equation A = 5W + 15

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

After one week of saving, Nayeli will have:

$15 + $5 = $20

After two weeks of saving, Nayeli will have:

$20 + $5 = $25

Continuing this pattern, we can find that after six weeks of saving, Nayeli will have:

$15 + 6($5) = $45

So, after six weeks of saving, Nayeli will have $45.

Amount saved = starting amount + (amount saved per week) × (number of weeks)

Amount saved = $15 + ($5)W   be equation (1)

So, the expression that represents the amount of money Nayeli would have saved in W weeks is

A = $15 + ($5) W

Hence , the equation is A = 5W + 15

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Answer: 7:1, 7/1, 7 to 1 (according to school learning)

Step-by-step explanation:

first 7:1 second 7/1 third 7 to 1

A structural break occurs when we see A. an unexpected shift in time-series data.

It is the change in a time series's data-generating mechanism, it is a phenomenon that occurs when a significant event or structural shift in the economy alters the underlying data-generating mechanism. A structural break can happen for several reasons, including natural catastrophes, changes in economic policy, new inventions, and other reasons that alter the way the data is generated.

In the presence of a structural break, we can't assume that the relationships between variables before and after the break are the same. The primary objective of identifying structural breaks in the time-series is to detect changes in the behavior of the series over time, such as changes in the variance of the series, changes in the mean of the series, and changes in the covariance of the series. So therefore the correct answer is A. an unexpected shift in time-series data, the structural break occurs.

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In a two-tailed hypothesis test the null hypothesis is rejected.

According to the statement

The test statistic is 3.06 and the critical values are /-2.086.

If we find the value of t by using the formula the then it comes with Negative sign and it lies under the critical region.

That's why In a two-tailed hypothesis test the null hypothesis is rejected.

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The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Answer:

width=11cm

length = 16cm

Step-by-step explanation:

let the width of rectangle be x.

then length is x+5

perimeter=54

2(x+x+5)=54

2x+5=27

2x=22

x=11

width=11cm

length= x+5 = 16cm

Answer:

width = 11

length = 16

Step-by-step explanation:

Perimeter of a rectangle = 2 (Length + Width)

Length = 5 + width

2 (5 + width + width) = 54

5 + width + width = 27

width + width = 22

width = 11

length = 16

Hope this helps :)

Have a nice day

The shape with a series of parallel cross sections that are congruent circles is a cylinder.

The cross-section that results from cutting a cylinder parallel to its base is a circle that is congruent to all other parallel cross-sections. This is true for any plane that is perpendicular to the cylinder's base. The only shape that has parallel cross-sections that are congruent circles is a cylinder, for this reason.

Two parallel, congruent circular bases that lay on the same plane make up the three-dimensional shape of a cylinder. A curved rectangle connecting the bases makes up the cylinder's lateral surface. Congruent circles are produced when a cylinder is cut in half parallel to its base.

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Answer: 17.92 feet

Step-by-step explanation:

From the question, we are informed that the estimation on a scale drawing of a fence is that 3.75 inches = 24 feet.

Based on the above, 1 inch will be:

= 24/3.75

= 6.4 feet

Therefore, the actual length of a second fence that is 2.8 inches in the drawing will be:

= 6.4 × 2.8

= 17.92 feet

Answer:

$330

Step-by-step explanation:

Start by dividing the original price by five, then multiply by 3. You do that because he paid 3/5 of the original price. Hope this helps!

Answer:

$220

Step-by-step explanation:

Markdown is the percentage decrease

2/5 is written as .4 in decimal form (40%)   \(\frac{2}{5} times 20=\frac{40}{100}\)

So when you multiply the number with the markdown percent, you get

550 times .4 = $220

There are 2,540,160 strings of SALESPERSONS with no consecutive S's.

Explanation:

The number of r-combinations of a set of n distinct objects is C(n,r) = \(\frac{n!}{r!(n-r)!}\)

Multiplication principle : If one event can occur in m ways AND a second event can occur in n ways, then the number of ways that the two events can occur in sequence is then mn.

We want to place the 4S's in the string of the other letters such that there are not consecutive. Since there are 9 positions including spaces between two consecutive letters in the 8-letter string and two positions on either side of the string, we need to place 4 of the 9 positions to contain a single S each.

By the definition of combination, there are ⁹C₄ ways to select 4 of the 9 positions to place the S's (as the order of the positions is not important since a different order of the S's leads to the same string).

By the multiplication principle, there are then ⁹C₄. \(\frac{8!}{2}\) (divided by 2 since , in remaining 8 characters 2E are identical) possible strings of SALESPERSONS with no consecutive S's.

⁹C₄ . \(\frac{8!}{2}\) = \(\frac{9!}{4!(9-4)!}\) \(\frac{8!}{2}\)

           = \(\frac{9!}{4!.5!} . 20,160\)

           = 126.20,160

           = 2,540,160

Thus, there are 2,540,160 strings of SALESPERSONS with no consecutive S's.

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Answer:

the answer according to my calculations will be 12

Step-by-step explanation:

the formula of area of trapezium is A=a+b÷2×h

and if we wanna solve for h

h=2 A÷ a+b

h=2 (234)÷39

after calculations...

h= 12  

hope it helps:)

Answer:

h = 12 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h ( sum of parallel bases )

Here A = 234 and sum of bases = 39 , then

\(\frac{1}{2}\) h × 39 = 234 ( divide both sides by 39 )

\(\frac{1}{2}\) h = 6 ( multiply both sides by 2 to clear the fraction )

h = 12