A right rectangular prism has a base with an area of 25 1/2 square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism? Please help!!

On solving the exponential function 16000 = P(0.9455)^t, the original value of the car is obtained as $18,930.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The value of car in amount is A(t) = $16,000.

The rate of depreciation is x = 5.45% per year.

Rewriting the rate in exponential form - (1 - 0.0545) = 0.9455

The car is t = 3 years old.

Let P be the model that depicts the original cost of the car.

Then the exponential function will be -

16000 = P(0.9455)^t

Substituting the value of t in the equation -

16000 = P(0.9455)³

16000 = 0.8452P

P = 16000/0.8452486

P = 18,929.34 ≈ 18,930

Therefore, the original value of car was $18,930.

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Answer: 162.5

Step-by-step explanation:

Answer:

The answer is 235.7

Step-by-step explanation:

Have a great day =)

Answer:

5y + 12x

Step-by-step explanation:

Let's simplify step-by-step.

5y+3x+9x

Combine Like Terms:

=5y+3x+9x

=(3x+9x)+(5y)

=12x+5y

Answer:

5y + 12x

Step-by-step explanation

Simplify step-by-step.

5y+3x+9x

Combine like terms:

=5y+3x+9x

=(3x+9x)+(5y)

=12x+5y

The value of c does not affect the covariance of Y and Z.

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

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Answer:

the correct answer would be the first one, 72a^3

Answer:

the first one

Step-by-step explanation:

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Hi ;-)

\(x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4\)

Answer:

DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.

Step-by-step explanation:

The domain of the relation is the set of points in A which have a tail connected to it.  That is {3, 4, 5, 6, 7}.

The range of the relation is the set of points in B which have a tip connected to it.  That is {2, 1, 9, 12}.

Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

Decreased by 19%.

-------------------------------

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

f(x) = 3x − 5 when x=−1, x=0, x=3

Answer:

-8, -2, 4

Step-by-step explanation:

1. Insert -1, 0, and 3 into x

2. Solve

Replace x with -1: f(-1) = 3(-1) − 5

Multiply 3(-1): f(-1) = -3 − 5

Subtract by 5: f(-1) = -8

The answer is -8

Now do this for the rest of the problems:

f(0) = 3(0) − 5 when x=−1, x=0, and x=3

-2 is the 2nd answer

f(3) = 3(3) − 5 when x=−1, x=0, and x=3

4 is the 3rd answer

This is my first answer, so I hope I explained it well!

12 because ther is 12 and y0u  mknus 12 so you get 12

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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SOLUTION

The probability of an event occuring is found using the formula

There is only "one" 4, in a die, out of a total of "six" numbers labelled 1 to 6.

So, possible outcome = 1

Total possible outcome = 6, since the die was tossed once.

Probability becomes

Hence the answer is

12+10=22

12-10=22

is the two numbers whose sum is 22 and difference is 2.

Answer:

y = -3π/2 x + π

Step-by-step explanation:

sin(xy) = ½

The slope of the tangent line is dy/dx.  Take the derivative of both sides with respect to x.  You'll need to use chain rule and product rule.

cos(xy) (x dy/dx + y) = 0

x dy/dx + y = 0

x dy/dx = -y

dy/dx = -y/x

At x = ⅓ and y = π/2:

dy/dx = -(π/2) / ⅓

dy/dx = -3π/2

Using point-slope form of a line:

y − π/2 = -3π/2 (x − ⅓)

Simplifying to slope-intercept form:

y − π/2 = -3π/2 x + π/2

y = -3π/2 x + π

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

SYSTEM 1

\(4x + 3y = 4 - - - eqn(i) \\ - 2x - 3y = - 8 - - - eqn(ii) \\ eqn(i) + eqn(ii) \\ = > 4x - 2x = 4 - 8 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = - 2 \\ in \: eqn(i) \: \: 4x + 3y = 4 \\ but \: x = - 2 \\ = > 4( - 2) + 3y = 4 \\ = > - 8 + 3y = 4 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4\)

SYSTEM 2

\(3x + 2y = 7 - - - eqn(i) \\ 2x - y = 7 - - - eqn(ii) \\ multiply \: eqn(ii) \: by \: 2 \\ = > 4x - 2y = 14 - - - eqn(iii) \\ eqn(i) + eqn(iii) \\ = > 7x = 21 \\ x = \frac{21}{7} \\ x = 3 \\ in \: eqn(ii) \: 2x - y = 7 \\ but \: x = 3 \\ hence \: \: 2(3) - y = 7 \\ y = 6 - 7 \\ y = - 1\)

You have the following quadratic function:

the previous function is a parabolla with a positive leading coefficient equal to 6 (leadding coefficient is the coefficient of the quadratic term). It means that the parabola opens up and then the parabolla has a minimum point.

The x-coordinate of the minimum point is just the x-coordinate of the vertex, which is given by:

a and b are coefficients of the quadratic function. In this case a=6 and b=-12.

Replace the previous parameters into the expression for x and simplify:

Now, the y-coordinate of the vertex (minimum point in this case) is:

Then, the minimum of the function is at the point (1 , -6)

9514 1404 393

Answer:

  (b)  40°

Step-by-step explanation:

Angle x and the one marked 70° are alternate interior angles, so are congruent. The sum of the two base angles of the isosceles triangle is ...

  x° +x° = 70° +70° = 140°

So, the remaining angle 1 in the triangle is ...

  180° -140° = 40°

  ∠1 = 40°

Arithmetic sequence is modeled by the next formula:

where an is the nth term, a1 is the first term, and d is the common difference.

In the case of the first sequence:

In the case of the second sequence:

The 6th term of the first sequence is:

The 5th term of the second sequence is:

The 11th term of the first sequence is:

The 9th term of the second sequence is:

Therefore, the first three common terms are: 1, 21, and 41. And the sum of them is 63

Answer:

21

Step-by-step explanation:

The question is based in pigeonhole principle that says If n or  more  pigeons  are  distributed  among k >0 pigeonholes,then at least one pigeonhole contains at least \(\frac{n}{k}\) pigeons.

8 + 6 + 9−3 + 1 = 21

Answer:

-73

Step-by-step explanation:

if f is 73

and they made f negative, they just made 73 negative too.

i don't know if there is more in that expression

all i can see is

-f=___

Answer:

35x48=1680

Step-by-step explanation:

1680

Answer:

this problem is actually already solved the slope is 7 or 7/1 and the y -intercept is 8.

hope this helped!

Answer:

64 fl oz

Step-by-step explanation:

To find the best price you take the cost and divide it by the number of fluid ounces ($1.99/32). For the 32 oz it costs .062, for the 64 oz it costs .057, and for the 96 oz it costs .060 (these are all approximate number btw). Therefore, since 64 oz has the lowest number it has the lowest price per fluid oz.

Using Chebyshev's Theorem, it is found that the interval that contains monthly mortgage payments of at least 75% of all homeowners is [1110, 1530].

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

In this problem:

By the Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean, hence:

The interval that contains monthly mortgage payments of at least 75% of all homeowners is [1110, 1530].

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we know that π/2 < θ < π, which is another way of saying that θ is in the II Quadrant, so half that angle will most likely be located on the I Quadrant, where cosine as well as sine are both positive.

Now, let's keep in mind that θ itself is in the II Quadrant, where the cosine is negative whilst the sine is positive.

\(\textit{Half-Angle Identities} \\\\ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's now find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{25^2-7^2}=a\implies \pm\sqrt{576}=a\implies \pm 24=a\implies \stackrel{II~Quadrant}{-24=a} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-24}}{\underset{hypotenuse}{25}} \\\\\\ sin\left(\cfrac{\theta}{2}\right)\implies \pm \sqrt{\cfrac{1-\left( -\frac{24}{25} \right)}{2}}\implies \pm \sqrt{\cfrac{1 +\frac{24}{25} }{2}}\)

\(\pm\sqrt{\cfrac{~~\frac{49}{25} ~~}{2}}\implies \pm\sqrt{\cfrac{49}{50}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{49}{50}}}\implies \cfrac{\sqrt{49}}{\sqrt{50}}\implies \cfrac{7}{5\sqrt{2}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{7}{5\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{7\sqrt{2}}{5\sqrt{2^2}}}\implies \cfrac{7\sqrt{2}}{10}\)