8 feet in 15 seconds;16 feet in how many seconds

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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We can solve for r using numerical methods or trial and error. One possible way is to use Excel's goal seek function, which gives us a discount rate of approximately 16.5%. Therefore, at a discount rate of 16.5%, the NPV of the project is zero, and we would be indifferent between accepting the project and rejecting it.

Using the formula for NPV, we have:

\(NPV = -Cost + (CF1 / (1+r)^1) + (CF2 / (1+r)^2) + ... + (CFn / (1+r)^n)\)

where CF is the annual cash flow, r is the required rate of return, and n is the number of years.

Plugging in the given values, we get:

At a required return of 9%:

\(NPV = -9100 + (2200 / (1+0.09)^1) + (2200 / (1+0.09)^2) + ... + (2200 / (1+0.09)^9)\\NPV = -9100 + 1704.13 + 1562.30 + ... + 653.89\\NPV = $404.19\)

At a required return of 25%:

NPV = -9100 + (2200 / (1+0.25)^1) + (2200 / (1+0.25)^2) + ... + (2200 / (1+0.25)^9)

\(NPV = -9100 + 1548.28 + 1179.08 + ... + 160.69\\NPV = -$1,489.91\)

To find the discount rate at which we would be indifferent between accepting the project and rejecting it, we can use the NPV formula and set it equal to zero:

\(0 = -9100 + (2200 / (1+r)^1) + (2200 / (1+r)^2) + ... + (2200 / (1+r)^9)\)

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Answer:

7, 7, 60, 60, 60

Step-by-step explanation:

When you draw the circles thhey all hhave radius AB so AB=AC=BC =7

and since all sides are congruent you have a equilateral treangle so all angles are equal to 180/3=60

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

Here is an example:

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Based on the information from the example, you can conclude:

Primary Similarity:

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

Primary Difference:

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

Answer: The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

Step-by-step explanation:

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

Answer:

A measure of center where the sum of a set of numbers is divided by the number of elements in the set. (Also referred to as the average.) measurable attribute. A common feature of a set of objects or numbers that can be measured

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

The point on the curve where the tangent line has a slope of 1/2 is (x, y) = (27, -1).

As we know, x = 6t² + 3 and y = t³ - 9

Let's find dx/dt using the first equation.  

We have:

dx/dt = 12t

Now, let's find dy/dt using the second equation. We have:

dy/dt = 3t²

Next, we'll calculate dy/dx. We know that dy/dx = dy/dt ÷ dx/dt.

So we get: dy/dx = dy/dt ÷ dx/dt= 3t² ÷ 12t= t ÷ 4

The slope of the tangent line is 1/2, so we set t/4 = 1/2 and solve for t.t/4 = 1/2t = 2

We must find x and y values that correspond to t = 2. We have:

x = 6t² + 3= 6(2²) + 3

= 27y = t³

- 9= 2³

- 9= -1(x, y)

= (27, -1)

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Answer

20/7=2 6/7

Step-by-step explanation:

soory no explanation

Answer: 2.39 inches (rounded)

Step-by-step explanation:

1.) Divide circumference (15) by 3.14 to get the diameter (~4.78, or 4.77707006...)

2.) Divide diameter by 2 for the radius (~2.39, or 2.38853503...)

Answer:

x=-8

Step-by-step explanation:

Multiply both sides- 4/3x2/4=4/3x(-6)

Reduce multiply

x=-4x2

x=-8

Answer:

13/6

Step-by-step explanation:

1. remove perenthases and distrubute 3 through both sides of the eqation.

2.move 18 to the right and make it +18 instead of -18

3.calculate 8+18 to get 26

4.divide both sides if the eqation by 12 to 13/6

hope this helps!

Answer:

the requisite answer for this question is 10 meter.

Step-by-step explanation:

the analysis for this question's answer is as follows:

since, he has a 50 meter long role of cable, correct to the nearest meter,with him and also he uses 10 meter of that role each time during his job to the nearest meter.

therefore, if he does four jobs then the maximum amount of cable that could be left with him would be;

he took (40-m) to finish the entire work,

this simplifies, 50-(10×4) which is equal to 50-40 which in turn is equal to 10

hence, the solution to the afore-mentioned problem is 10 meters.

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f(x) = ax + b, and it is the unique differentiable function with f'(x) = a for all x and f(0) = b. Proof: Suppose g(x) is another differentiable function with g'(x) = a for all x and g(0) = b. Then, g(x) = ax + b, and so f = g. so, the correct answer is A).

We have f'(x) = a for all x, so by the Fundamental Theorem of Calculus, we have

f(x) = ∫ f'(t) dt + C

= ∫ a dt + C

= at + C

where C is a constant of integration.

Since f(0) = b, we have

b = f(0) = a(0) + C

= C

Therefore, we have

f(x) = ax + b

Now, to prove that f is the unique differentiable function with f'(x) = a for all x and f(0) = b, suppose g(x) is another differentiable function with g'(x) = a for all x and g(0) = b.

Define h(x) = g(x) - f(x). Then we have

h'(x) = g'(x) - f'(x) = a - a = 0

for all x. Therefore, h(x) is a constant function. We have

h(0) = g(0) - f(0) = b - b = 0

Thus, h vanishes everywhere and so f = g. Therefore, f is the unique differentiable function with f'(x) = a for all x and f(0) = b. so, the correct answer is A).

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Answer:

From the box plot we get:

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

Answer:

Step-by-step explanation:

true true false

Answer:

\(13x+4y+12\)

Step-by-step explanation:

Combine all the like terms & then solve:

\((4x+2x+7x)+(-5y+9y)+(4+6+2)\)

\(13x+4y+12\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(4x - 5y + 2x + 4 + 6 + 9y +7 x + 2\)

Combining like terms, we have

= \( \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)\)

= \( \: 13x + 4y + 12\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The probability that  a randomly selected passenger has a waiting time less than 0. 75 minutes is 0.875.

Given:

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between zero and six minute.

we are asked to  find the probability that a randomly selected passenger has a waiting time less than 0. 75 minutes = ?

Probability = Number of favourable outcomes/Total number of outcomes.

0 to 6 minutes.

⇒ P = 6-0.75/6

⇒ P = 5.25/6

⇒ P = 0.875

Hence the probability that a randomly selected passenger has a waiting time less than 0. 75 minutes is  0.875

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Measure of EG is 9.5 cm.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. A triangle's third side is always equal to the sum of any two of its sides' lengths. Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle. As a polygon, a triangle.

Given Data

Lengths

EH = 24, GH = 24

The third side of a triangle is always equal to the sum of the lengths of any two of its sides.

24 = 9.5 + x + 24

9.5 = x

Measure of EG is 9.5 cm.

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Answer:

what does T equal

Step-by-step explanation:

Answer:

\(\frac{4080n+1585d-188}{240}\)

Step-by-step explanation:

I simplified it to the best possible state

Answer:

Step-by-step explanation:

f(x) = x - 5 and g(x) = 5x

- f(x + 1) = - ( x + 1 - 5 ) = 4 - x

- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x

h(x) = 4 - x + 15 - 15x = 19 - 16x

h(3) = 19 - 16(3) = - 29

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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The information given in the triangle shows that the total distance from A to B to C to D to E will be C. 84.

From the information given, ABF = EDG, GCF are equilateral and AG = 21 while CG = 1/4.

The total distance from A to B to C to D to E will be:

= 21/CG

= 21 / 1/4

= 21/0.25

= 84

In conclusion, the correct option is 84.

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Answer: D

Step-by-step explanation: #platofam4life

Answer:B

Step-by-step explanation: platofam4life

Answer:

Sample Answers: The first two angles are given, so Angle EGF measures 90 degrees and Angle DGC measures 42 degrees. Since angles EGF and EGC are supplementary, we have EGF + EGC = 180 90 + EGC = 180 EGC = 90 So angle EGC measures 90 degrees. Page 5. Angles for a Solution.

Step-by-step explanation:

hope its help

correct me if im wrong

The system of equations solved by the elimination method gives (-2, 1)

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

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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substituting the value of L into equation (2) we have:

91-W=36

Therefore

W=91-36=55

Answer:

62 degrees

Step-by-step explanation:

the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62

A line passes through (0, 2) and has a slope of 13. What is the equation of the line in slope-intercept form?

y = 1/3x + 2 (y equals 1 third x plus 2)

y = 1/3x − 2 (y equals 1 third x minus 2)

y = −1/3x + 2 (y equals negative 1 third x plus 2)

y-intercept is : (0 , 2)

slope = 13 or 13/1 (this is positive so slope will be positive)

slope = rise/run = y/x

Answer:

Johann Benedict Listing

Step-by-step explanation:

Although all 4 were renowned mathematicians in their own right, Johann Benedict Listing was the only one to discover the Mobius strip and its properties, around the same time as did August Mobius.

Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar then corresponding angles are congruent, thus

∠ H = ∠ D = 110°, that is

z = 110°