There are 45 cards in a card game deck. How many cards in 4 decks?

Answer:

39 degrees

Step-by-step explanation:

97+44= 141

141 - 180 = 39

Domain and Range of the given rational functions are:Given rational function f(x) = 3/(x-1)The denominator of f(x) cannot be zero.x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}

The range of f(x) is all real numbers except zero.Given rational function f(x) = (2x)/(x-4)The denominator of f(x) cannot be zero.x ≠ 4 Therefore the domain of f(x) is {x | x ≠ 4}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x+3)/(5x-5)The denominator of f(x) cannot be zero.5x - 5 ≠ 0x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}The range of f(x) is all real numbers except 1/5.Given rational function f(x) = (2+x)/(2x)The denominator of f(x) cannot be zero.x ≠ 0 Therefore the domain of f(x) is {x | x ≠ 0}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x^2+4x+3)/(x^2-9)For the denominator of f(x) to exist,x ≠ 3, -3

Therefore the domain of f(x) is {x | x ≠ 3, x ≠ -3}The range of f(x) is all real numbers except 1, -1. Function Domain Rangef(x) = 3/(x-1) {x | x ≠ 1} All real numbers except zerof(x) = (2x)/(x-4) {x | x ≠ 4} All real numbers except zerof(x) = (x+3)/(5x-5) {x | x ≠ 1} All real numbers except 1/5f(x) = (2+x)/(2x) {x | x ≠ 0} All real numbers except zerof(x) = (x^2+4x+3)/(x^2-9) {x | x ≠ 3, x ≠ -3} All real numbers except 1, -1

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If the graph of a distribution of data shows that it is skewed to the right, then the appropriate response is: "Mean > Median."

In a right-skewed distribution, the tail of the distribution extends towards the right, indicating that there are some high values that pull the mean towards the higher end of the distribution. As a result, the mean tends to be greater than the median. The median, being the middle value, is less affected by the extreme values in the tail and is generally closer to the lower end of the distribution.

Therefore, in a right-skewed distribution, the mean is typically greater than the median.

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Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

Answer:

If a function repeats over at a constant period we can call it a periodic function. According to periodic function definition the period of a function is represented like f(x) = f(x + p), p is equal to the real number and this is the period of the given function f(x). Period can be defined as the time interval between the two occurrences of the wave.

Step-by-step explanation:

please tell me if im incorrect, i'll fix it asap.

Answer:

  B.  -1/2e^(-2x) +C

Step-by-step explanation:

You want the indefinite integral of ln(e^(e^(-2x))).

The integrand can be simplified using ln(e^x) = x:

  ln(e^(e^(-2x))) = e^(-2x)

The antiderivative of e^a is (1/a)e^a, so the integral of interest is ...

  \(\displaystyle \int{e^{-2x}}\,dx=\dfrac{1}{-2}e^{-2x}+C=\boxed{-\dfrac{1}{2}e^{-2x}+C}\)

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Answer:

78

Step-by-step explanation:

Im 99% sure this is right because

51x2=102

258-102=156

156÷2=78

^•^

Both the pairs of opposite sides in a parallelogram are parallel and congruent.

According to the question,

We've proved that one pair of sides in parallelogram must be congruent

Let ABCD is a parallelogram ,

We know that AB // CD

Here, AC is transversal for the parallel lines AB and CD

So, ∠BAC = ∠DCA    (Using interior angle property) --------(1)

Similarly , We also know that BC // AD

=> ∠BCA = ∠DAC -----------(2)

Now , In ΔABC and ΔADC,

Therefore , ΔABC ≅ ΔADC    (as per ASA congruence rule)

Therefore , AB = CD and BC=AD   (Corresponding sides of congruent triangles are equal)

Hence , Both the pairs of opposite sides in a parallelogram are parallel and congruent.

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Answer:

I don't get this at all

Answer:

B,D,E

Step-by-step explanation:

Answer:

uh

Step-by-step explanation:

couldnt figure out how to leave XD

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

\(\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}\)

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

Answer:

a=12

Step-by-step explanation:

1/4*12=12/4

12/4=3

The whole number for the value (x + 21) is 41.

All integers starting from 0 are called whole numbers. The opposite of their corresponding positive numbers, the negative numbers are additive. The blackboard bold math Z or boldface Z is a common way to represent the set of integers in mathematical terminology.

given,

       x = 20

then by putting the value of x = 20 in

       (x + 21)°      we get,

     = (20 + 21)°

     = 41°

Hence, the whole number of (x + 21) is 41

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The volume of the figure is given as 144 ft²

You should recall that a  pyramid (from Greek: πυραμίς pyramís) is a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense

The volume of a pyramidal pyramid can be calculated using the formula volume = (1/3) × basearea × height, which works for any type of base polygon and oblique and right pyramids

Area of base is a square = 4*4 = 16 ft²

volume = 16*9 ft

Therefore the Volume of the figure is  = 144 ft²

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Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

By analizying the zeros on the graph, we conclude that the equation that could represent the graph is:

y = (x  + 5)²*(x - 3)²

On the graph, we have a polynomial.

Remember that the degree of the polynomial is related to the zeros of the polynomial. Here we can see that we have two double zeros, one at x = -5 and other at x = 3

We know that are double zeros because the curvature of the polynomial changes there.

Then the equation will be something like:

y = (x  + 5)²*(x - 3)²

So that is the correct option, top right.

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The distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.

We have,

Acceleration of plane i.e. a = 12 m/s²

And,

Velocity of plane i.e. v = 100 m/s

And,

t₁ = 2s

t₂ = 5s

t₃ = 10s

So,

Now,

Using the equation of motion,

i.e.

S = vt - \(\frac{1}{2}\) at²

Here,

S = Distance,

v = initial velocity,

a = acceleration

t = time taken

Now,

For t₁ = 2s,

Putting values in above equation we get,

S = (100 * 2) - (\(\frac{1}{2}\) * 12 * 2²)

On solving we get,

S = 200 - 24 = 176 m,

So,

Plane will be at 176m distance.

Now,

For t₂ = 5s,

Putting values in above equation we get,

S = (100 * 5) - (\(\frac{1}{2}\) * 12 * 5²)

On solving we get,

S = 500 - 150 = 350 m,

So,

Plane will be at 350m distance.

Now,

For t₃ = 10s,

Putting values in above equation we get,

S = (100 * 10) - (\(\frac{1}{2}\) * 12 * 10²)

On solving we get,

S = 1000 - 600 = 400 m,

So,

Plane will be at 400m distance.

Hence, we can say that the distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.

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Answer:

-1/4 or -0.25

Step-by-step explanation:

use completing the square

hope this is right :)

The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."

The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.

Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.

Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.

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Answer:

B

Step-by-step explanation:

Answer:

620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:

B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:

C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:

D = 10 * 13 = 130 cm2

The total surface area is:

S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

Answer:

the volume of the cylinder is 785 units^2

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

Given that

The diameter is 10 units

So, the radius is half of the diameter i.e. 5 units

The height would be twice of the radius i.e. 10 units

Now the volume of the cylinder is

=πr^2h

r denotes the radius

And h denotes the height

= 3.14 × 5^2 × 10

= 785 units^2

Hence, the volume of the cylinder is 785 units^2

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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