How many groups of 1 & 2/3 are in 1 & 5/6?How many groups of 1 & 2/3 are in 1 & 5/6?

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter

-6x + 3 3/4 + 14x - 3 1/4

rearrange to make it easier, don't need to do this i'm just doing this for the sake of it

-6x + 14x + 3 3/4 - 3 1/4

8x + 2/4, simplify this

8x + 1/2

The decimal way if u want:

-6x + 3 3/4 + 14x - 3.25

-6x + 3.75 + 14x - 3.25

-6x + 14x + 3.75 - 3.25

8x + 0.5

Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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To determine whether Zt is covariance stationary, we need to check if the mean and covariance of Zt are time-invariant.

(a) For the mean, we have E[Zt] = E[Usin(21t)] + E[Vcos(2nt)] = 0 since U and V have mean 0. Thus, the mean is time-invariant and Zt is covariance stationary in mean.
For the covariance, we have Cov(Zt, Zt+h) = E[ZtZt+h] - E[Zt]E[Zt+h]. Using the trig identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b), we can simplify ZtZt+h as:
ZtZt+h = (Usin(21t) + Vcos(2nt))(Usin(21t+h) + Vcos(2n(t+h)))
= U^2sin(21t)sin(21t+h) + V^2cos(2nt)cos(2n(t+h)) + UV(sin(21t)cos(2n(t+h)) + cos(2nt)sin(21t+h)))
Taking the expectation of this expression and using the fact that U and V are independent and have variance 1, we get:
E[ZtZt+h] = E[U^2]sin(21t)sin(21t+h) + E[V^2]cos(2nt)cos(2n(t+h))
= sin(21t)sin(21t+h) + cos(2nt)cos(2n(t+h))
Thus, Cov(Zt, Zt+h) = sin(21t)sin(21t+h) + cos(2nt)cos(2n(t+h)) which depends on the time difference h. Therefore, Zt is not covariance stationary in covariance.
(b) To determine whether Zt is strictly stationary, we need to check if the joint distribution of Zt and Zt+h is the same as the joint distribution of Zs and Zs+h for any s and t.
Since Zt is a linear combination of independent normal variables, Zt is normal with mean 0 and variance U^2 + V^2. Thus, the joint distribution of (Zt, Zt+h) is normal with mean vector (0,0) and covariance matrix:
| U^2+V^2   U^2cos(21h)+V^2sin(2nh) |
| U^2cos(21h)+V^2sin(2nh)   U^2+V^2cos(4nh) |
This joint distribution depends on the time indices t and t+h, so Zt is not strictly stationary.

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Answer:

Step-by-step explanation:

1). Let the circumference C and area A of the circle are proportional,

   C ∝ A

   C = kA

   Here k = proportionality constant

   k = \(\frac{C}{A}\)

   From the given table,

   For C = 25 cm, A = 50 cm²

   Then the value of k = \(\frac{25}{50}\)

                                  k = \(\frac{1}{2}\)

    For C = 50 cm, A = 201 cm²

    k = \(\frac{50}{201}\) ≈ \(\frac{1}{4}\)

    In both the cases proportionality constant is giving the different values.

    Therefore, Circumference and Area of the circular objects are not proportional.

2). If A = \(\frac{1}{2}\times r\times C\)

    Then this equation will be true for all the values of r and C given in the table.

    For r = 4 cm and C = 25 cm

    A = \(\frac{1}{2}\times 4\times 25\) = 50 cm²

    For r = 8 cm and C = 50 cm

    A = \(\frac{1}{2}\times 8\times 50\)

    A = 200 cm²

    True for all values of 'r' and 'C'.

Answer:

665

Step-by-step explanation:

Answer:

12 cups

If the size of the bag decreased by 20%, so will the number of cups held.

Number of cups held before the change = 15 cups

If the number of cups held after the 20% reduction in the size of the bag

= (100 - 20)% × 15

=80% × 15

= 12 cups

The new bags will hold 12 cups.

Step-by-step explanation:

You have made a profit of €3,750 on the futures contract.

The money made from selling a product, which should be higher than its cost price, is referred to as the profit. It is the gain from any type of commercial activity.

To determine how much you have made or lost on the futures contract, we need to calculate the difference between the agreed-upon price and the settlement price for each day and then multiply it by the contract size.

The agreed-upon price is $1.50 per €, and the contract size is €62,500.

Day 1 settlement:

Agreed-upon price: $1.50

Settlement price: $1.50

Difference: $1.50 - $1.50 = $0.00

Day 2 settlement:

Agreed-upon price: $1.50

Settlement price: $1.52

Difference: $1.52 - $1.50 = $0.02

Day 3 settlement:

Agreed-upon price: $1.50

Settlement price: $1.54

Difference: $1.54 - $1.50 = $0.04

Now, let's calculate the profit or loss:

Profit/Loss = (Difference in settlement price) * (Contract size)

           = ($0.00 * €62,500) + ($0.02 * €62,500) + ($0.04 * €62,500)

           = €0 + €1,250 + €2,500

           = €3,750

Therefore, you have made a profit of €3,750 on the futures contract.

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Answer:

B = $5.40

Hope this helps!

Step-by-step explanation:

The value of the given integral by converting it into polar coordinates is [a⁴ / 4] (1 - (-1)) = [a⁴ / 2].Hence, the correct option is (d) [a⁴ / 2].

To evaluate the iterated integral by converting to polar coordinates,

we need to change the limits of the integral into polar coordinates.

So the given integral in polar form is ∫(from θ = 0 to θ = π/2) ∫(from r = a to r = 0)\(4r^3cos(θ)sin(θ)dr dθ.\)

The polar coordinate conversion is given by x = r cos(θ) and y = r sin(θ).Given integral ∫a0∫0−√a2−y24x2y dx dy can be expressed in the form of polar coordinates as follows:

∫(from θ = 0 to θ = π/2) ∫(from r = a to r = 0) 4r³cos(θ)sin(θ) dr dθ

Where, x = r cos(θ) and y = r sin(θ)

Now, we can evaluate this integral using the polar coordinate conversion.

∫(from θ = 0 to θ = π/2)

∫(from r = a to r = 0) 4r³cos(θ)sin(θ) dr

dθ=∫(from θ = 0 to θ = π/2) [cos(θ)sin(θ) ∫(from r = a to r = 0) 4r³ dr ]

dθ= ∫(from θ = 0 to θ = π/2) [ cos(θ) sin(θ) (r⁴) / 4] (from r = a to r = 0)

dθ=∫(from θ = 0 to θ = π/2) [cos(θ) sin(θ) (a⁴) / 4]

dθ= [a⁴ / 4] ∫(from θ = 0 to θ = π/2) sin(2θ)

dθ= [a⁴ / 4] ([- cos(2θ)] from θ = 0 to θ = π/2)

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Answer:

48

Step-by-step explanation:

5      60

--  =  ----

4      x

5x= 240

---    ------

5       5

x=48

Answer:

w is the length

Step-by-step explanation:

length squared is always the area of a square

The missing number in the median set is 6.

We are given that;

Median set=18

Now,

To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.

For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.

Therefore, by median the answer will be 6.

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Answer:

i am pretty sure it's a.

Step-by-step explanation:

i hope this helps :)

Answer:

it's -2sqrt7

the first answer

Step-by-step explanation:

pls mark me brainliest!

Answer:

x = -72

Step-by-step explanation:

Step 1: Get rid of the fraction by multiplying both sides by 9

-8x = 576

Step 2: Divide both sides by -8 to get x

x = -72

Answer:

x = -72

Step-by-step explanation:

-8x/9 = 64

Multiply each side by -9/8

-8x/9  * -9/8 = 64 *-9/8

x = -72

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Step-by-step explanation:

13 - 0.75w + 8x

13 - 0.75(12) + 8(.5)

13 - 9 + 4

4 + 4 = 8

Answer:

i think it is 9/16

Step-by-step explanation:

good luck

Answer:

3sqrt2

Step-by-step explanation:

If a side length is a, then a^2 + a^2 = 36

2a^2 = 36

a^2 = 18

a = 3sqrt2

Or, you can remember that in a square, if you cut it in half diagonally, you get a 45-45-90 triangle, so the sidenglth is diagonal/sqrt2

The expressions are given as;

1. The factored form of g(x) is g(x) = 1/(x-6)

2. The LCD of g(x) and h(x) is (x-6)(x+8)

3. The LCD of h() and p(x) is (x-6)(8x + 32)

Functions are simply defined as laws, equations or rules showing the relationship between two variables.

These variables are termed;

From the information given, we have that;

g(x) = (x + 8)/x² + 2x - 48

Factorize the denominator of the function;

x²+ 8x - 6x - 48

group in pairs

x(x + 8) - 6(x + 8)

Then,

g(x) = x + 8/(x-6)(x+ 8)

g(x) = 1/(x-6)

The lowest common denominator of the functions g(x) and h(x) is;

g(x) = x + 8/(x-6)(x+ 8)

h(x) = 6x - 36/x-6

LCD = (x-6)(x+8)

The LCD of h(x) and p(x) is given as;

p(x) = x² - x - 20/8x + 32

= (x-6)(8x + 32)

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\(-6\leqslant 10-4a\leqslant 18\implies \stackrel{\textit{subtracting 10 from all sides}}{-16\leqslant -4a\leqslant 8}\implies \cfrac{-16}{-4}\leqslant a\leqslant \cfrac{8}{-4} \\\\\\ 4\leqslant a\leqslant -2\implies \begin{cases} a\geqslant 4\\\\ a\leqslant -2 \end{cases}\)

We need to solve the following system of equations:

We can use the substitution method. The first equation gives us an expression of y dependent on x. We can take the second equation and replace y by that expression so we obtain an equation with only one variable:

Then we divide both sides by -30:

So we have found that x=0. We use this value in the expression of y:

So we have x=0 and y=0.

Then the answer is (0,0).

To achieve a goal of 99.99% uptime, the SOC would allow approximately 52.56 minutes of downtime per year.

To calculate the number of minutes of downtime allowed within a goal of 99.99% uptime, we first need to determine the allowable downtime percentage.

Uptime percentage can be calculated as follows:

Uptime percentage = 100% - Downtime percentage

For a goal of 99.99% uptime, the downtime percentage would be:

Downtime percentage = 100% - 99.99% = 0.01%

To calculate the number of minutes of downtime, we need to convert the downtime percentage to minutes in a year:

Minutes of downtime = (Downtime percentage / 100) × Minutes in a year

Assuming there are 365 days in a year and 24 hours in a day (ignoring leap years), the number of minutes in a year would be:

Minutes in a year = 365 × 24 × 60 = 525,600 minutes

Now we can calculate the allowable minutes of downtime:

Minutes of downtime = (0.01% / 100) × 525,600 minutes

Minutes of downtime ≈ 0.0001 × 525,600 ≈ 52.56 minutes

Therefore, to achieve a goal of 99.99% uptime, the SOC would allow approximately 52.56 minutes of downtime per year.

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Answer:

Step-by-step explanation:

To find the area of the base of the box, we need to determine the length, breadth, and height of the box. We can set up a system of equations to represent the given information:

breadth = 2/3 * length

height = 1/3 * length

volume = length * breadth * height

Substituting the second equation into the third equation, we get:

volume = length * breadth * (1/3 * length)

      = length^2 * (2/3) * (1/3)

      = (2/9) * length^2

      = 48

      = 2^4 * 3

Solving for length, we find that length = 6. Plugging this value back into the first equation, we find that breadth = 4.

Therefore, the area of the base of the box is length * breadth = 6 * 4 = 24 square meters.

Answer:

If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.

Step-by-step explanation:

Answer:

the real answer is 43.98 but I don't see it there

Step-by-step explanation:

c=2 *pi symbol* r

d = 2 r

Answer:

no its not a function

Step-by-step explanation:

because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)

Answer:

819÷13=63

Step-by-step explanation:

you divide 819 by 13 and you get 63

Answer:

1b) 819 ÷ 13 =63

1c) 63 lawns were mowed

Answer:

b

Step-by-step explanation:

rude people delete meh answers

rude the answer is b

thank u very much now i must b on my way

Answer:

Its B

Step-by-step explanation:

Because the first one is correct give the credit to her.