help if you can, and thanks

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

\(price_{cup} = \frac{3.8}{9} = 0.42\)

Since each serving is \(\frac{3}{4}\) of a cup, then it's price has the same proportion and is given by:

\(price_{serving} = \frac{3}{4}*0.42 = 0.315\)

The price per serving is $0.315, therefore, it's less than $0.5

a. The number of choices possible for each digit of the code is of: 10.

b. The total number of 4-digit passwords that Jess can create is of: 10,000.

c. The number of different ways to create even passwords is of: 5,000.

The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial, according to the rule presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

Each digit can be between 0 and 9 inclusive, hence the number of outcomes possible for each digit of the password is given as follows:

10.

The password is composed of four digits, hence the total number of passwords possible is of:

N = 10 x 10 x 10 x 10 = 10,000.

Considering that Jess would like an even number, there are only five outcomes possible for the last digit (0, 2, 4, 6 or 8), hence the number of outcomes is of:

N = 10 x 10 x 10 x 5 = 5,000.

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The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

16.8

Step-by-step explanation:

You have to do 360 divided my 6048 because you have to do things on both numbers like moving the decimal.

Answer:

Step-by-step explanation:

40% is the correct answer

Answer:

250

Step-by-step explanation:

a. Optimal solution: X1 = 140, X2 = 0, X3 = 80, Objective Function Value = 4700.000.

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding.

c. The dual price for the second constraint is 2.333, indicating that for each unit increase in its right-hand side value, the objective function value increases by 2.333.

d. The objective function coefficient of X2 can vary between 30 and 40 without changing the optimal solution

a. The complete optimal solution is:

X1 = 140

X2 = 0

X3 = 80

Objective Function Value = 4700.000

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding because it has a slack/surplus value of 0.

c. The dual price for the second constraint (9X1 + 15X2 + 3X3 < 1500) is 2.333. This means that for each unit increase in the right-hand side value of the second constraint, the objective function value will increase by 2.333 units, assuming all other variables and constraints remain constant.

d. The objective function coefficient of X2 can vary between 30 and 40 before a new solution point becomes optimal. This means that as long as the coefficient remains within this range, the current solution will still be optimal. However, if the coefficient of X2 goes below 30 or above 40, a new optimal solution may be obtained.

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At 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.

Given is that two pools are being filled with water. To start, the first pool contains 1600 liters of water and the second pool contains 1186 liters of water. Water is being added to the first pool at a rate of 20.25 liters per minute. Water is being added to the second pool at a rate of 31.75 liters per minute.

We can write the equation for the first pool as -

y{A} = 1600 + 20.25x

Similarly, for the second pool is -

y{B} = 1186 + 31.75x

For the same amount of water -

y{A} = y{B}

1600 + 20.25x = 1186 + 31.75x

1600 - 1186 = 31.75x - 20.25x

x = 36

Amount of water in each pool will be -

y = 1600 + 20.25 x 36

y = 2329 liters

Therefore, at 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.

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The number of members is an illustration of proportions, and there are 200 members in the club

The given parameters are:

French = 20%

French = 40

Let the number of members be x.

So, we have:

20% * x= 40

Divide both sides by 20%

x = 200

Hence, there are 200 members in the club

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Answer:

Company A:

Company B:

Company C:

Least cost         |        Medium cost     |     Greatest cost

Company A       |          Company C     |      Company B

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

Answer:

see below

Step-by-step explanation:

20 lb of a dried fruit and granola blend 50% dried fruit

mixing 20% dried fruit x lbs

60% dried fruit y lbs

x+y=20 so x=20-y

0.2x+0.6y =0.5*20 =10

0.2(20-y) +0.6y=10

4 -0.2y+0.6y =10

0.4y =6

y=15

x=5

The lines would be parallel to demonstrate that there is no interaction between the independent variables.

Here, it has been mentioned that data from a factorial design is plotted on the graph. We already know that the results of factorial experiments with two independent variables, x and y,  can be represented on the graph where one independent variable is represented on the x-axis and the other is represented by using different colored lines. The y-axis is reserved for the dependent variables.

From the question, we know that there has been no interaction between the independent variables. An interaction means that one variable depended on the other. since that is not happening, It means the lines won't touch each other.

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The skein relation is a powerful tool in the study of knot theory, and it provides a useful relationship between the Jones polynomials of different links. The skein relation is defined as follows:

V(L_+) - V(L_-) = (t^(1/2) - t^(-1/2))V(L_0)

where V(L_+), V(L_-), and V(L_0) are the Jones polynomials of three links, L_+, L_-, and L_0, respectively. In order to show that the Jones polynomials of the three links in Figure 6.13 are related through the equation:

t^(-V(L_+)) - t^(V(L_-)) + (t^(-1/2) - t^(1/2))V(L_0) = 0

we can start by using the skein relation on each term individually. Let's consider each term one by one.

Applying the skein relation to the first term, we have:

V(L_+) = (t^(1/2) - t^(-1/2))V(L_0) + V(L_-)

Next, let's apply the skein relation to the second term:

V(L_-) = (t^(-1/2) - t^(1/2))V(L_0) + V(L_+)

Now, we can substitute the values of V(L_+) and V(L_-) into the equation and simplify:

t^(-V(L_+)) - t^(V(L_-)) + (t^(-1/2) - t^(1/2))V(L_0) = t^(-(t^(1/2) - t^(-1/2))V(L_0) - V(L_-)) - t^((t^(-1/2) - t^(1/2))V(L_0) + V(L_+)) + (t^(-1/2) - t^(1/2))V(L_0)

Using the properties of exponents, we can simplify the equation further:

= (t^(-t^(1/2)V(L_0)) * t^(-t^(-1/2)V(L_-)) - t^(t^(-1/2)V(L_0)) * t^(t^(1/2)V(L_+))) + (t^(-1/2)V(L_0) - t^(1/2)V(L_0))

By combining the terms, we get:

= t^(-t^(1/2)V(L_0) - t^(-1/2)V(L_-)) - t^(t^(-1/2)V(L_0) + t^(1/2)V(L_+)) + t^(-1/2)V(L_0) - t^(1/2)V(L_0)

Now, let's rearrange the terms:

= t^(-t^(1/2)V(L_0) - t^(-1/2)V(L_-) - 1/2)V(L_0) - t^(t^(-1/2)V(L_0) + t^(1/2)V(L_+) - 1/2)V(L_0)

We can see that the two terms involving t^(1/2) and t^(-1/2) cancel each other out:

= t^(-t^(1/2)V(L_0) - t^(-1/2)V(L_-) - 1/2)V(L_0) - t^(t^(-1/2)V(L_0) + t^(1/2)V(L_+) - 1/2)V(L

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Answer:

the answer is -3

have a nice day

A vector function r(t) that represents the curve of intersection of the two surfaces, the cone z = x² + y² and the plane z = 2 + y, is r(t) = ⟨t, -t² + 2, -t² + 2⟩.

To find the vector function representing the curve of intersection between the cone z = x² + y² and the plane z = 2 + y, we need to equate the two equations and express x, y, and z in terms of a parameter, t.

By setting x² + y² = 2 + y, we can rewrite it as x² + (y - 1)² = 1, which represents a circle in the xy-plane with a radius of 1 and centered at (0, 1). This allows us to express x and y in terms of t as x = t and y = -t² + 2.

Since the plane equation gives us z = 2 + y, we have z = -t² + 2 as well.

Combining these equations, we obtain the vector function r(t) = ⟨t, -t² + 2, -t² + 2⟩, which represents the curve of intersection.

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Answer:

AOB seems to be the same as DOE, which means DOE is equal to 40 degrees as well. And if DOF is 120, and DOE is inside of it, you would subtract 40 from 120, which is 80. And since that area is also the same as BOC, it would mean that BOC is equal to 80 as well.

So since we have those current angles, we have to add them up (40+40+80+80) which is equal to 240 degrees. Since there is 360 degrees in a circle, you would then subtract 240 from 360 to find the last answers, which equals 120. However since there are two angles left, it means we would split that 120, which equals 60. Now we add all the answers together (40+40+80+80+60+60=360)

So finally, the answers are

Also sorry if the way I explained it seems confusing, hope this helps though

Step-by-step explanation: i did this so the other person can get brainlist

The amount Kevin earned as a commission only is $800.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Kevin earns a base pay if $325 per week and a commission on his sales.

Now, The amount he earned from incentives is,

= $(1125 - 325).

= $800.

In terms of percentage, it is,

= (800/325)×100%.

= 246.15%.

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Therefore, the total number of ways the lights can be arranged on the string is: 14! / (2! * 4! * 5! * 2!).

To find the number of ways the lights can be arranged on a string, we need to calculate the total number of permutations.

The total number of lights is 2 red lights + 4 yellow lights + 5 blue lights + 1 green light + 2 pink lights = 14 lights.

Since all the lights are distinct, we can arrange them in 14! (factorial) ways. However, since there are repetitions of certain colors, we need to account for that.

The red lights are identical, so we divide by 2! (the number of permutations of the red lights among themselves).

The yellow lights are identical, so we divide by 4! (the number of permutations of the yellow lights among themselves).

The blue lights are identical, so we divide by 5! (the number of permutations of the blue lights among themselves).

The pink lights are identical, so we divide by 2! (the number of permutations of the pink lights among themselves).

Therefore, the total number of ways the lights can be arranged on the string is:

14! / (2! * 4! * 5! * 2!)

You can calculate this expression to find the specific number of arrangements.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

Step-by-step explanation:

-9r - 73 = -10

-9r = 63

r = -7

Answer:

Its either A or B

Step-by-step explanation:

I am not sure tho

Answer:

B ,because they are similar

my teacher told me

Answer:

13 < x < 21.

Step-by-step explanation:

First the third side (x) must be less than 4 + 17 , that is  < 21.

Also 17 cannot  be greater than  4 + x:

17 < 4 + x

x > 13.

To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.

In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.

Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.

In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.

The asset should more than the debt.

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Taking the quotient between the total amount and the amount needed for each serving, we can see that she can make 12 servings.

To see how many individual servings can Keisha make, we need to take the quotient between the total amount of nuts that she has and the amount that she needs for each serving.

The total amount she has is:

T = (4 + 1/2) cups.

Each serving needs:

S = (3/8) cups.

Taking the quotient we will get:

N = (4 + 1/2)/(3/8)

N = (4.5)/(3/8) = 12

She can make 12 individual servings.

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Answer:

3/8

Step-by-step explanation:

To solve this problem, we need to perform division. We can convert the mixed fraction 4 1/2 into an improper fraction: 4 1/2 = (4 x 2 + 1)/2 = 9/2. Then we can divide 9/2 by 3/8:

(9/2) ÷ (3/8) = (9/2) x (8/3) = 12

Therefore, Keisha can make 12 individual servings of nuts by dividing 4 1/2 cups of nuts into 3/8 cup servings.

Answer:

don't click that guy's link it's a virus

I'm pretty sure the answer if 50% chance

Step-by-step explanation:

I just combined the probabilities because it's for both lights

hope it helps <3

Answer:

Step-by-step explanation: 55

The outward flux of F across the boundary of the region D is 0 (C. 0).

To find the outward flux of the vector field F = (y - x)i + (2 - y)j + (z - x)k across the boundary of the region D, we can use the Divergence Theorem. The Divergence Theorem relates the outward flux of a vector field across a closed surface to the volume integral of the divergence of the vector field over the region bounded by that surface.

The divergence of F (div F) can be computed as follows:

div F = (∂/∂x)(y - x) + (∂/∂y)(2 - y) + (∂/∂z)(z - x)

= -1 - 1 + 1

= -1

Now, let's consider the region D that is cut from the solid cylinder x² + y² = 9 by the planes z = 0 and z = 5. The region D consists of the curved surface of the cylinder, the top and bottom circular surfaces, and the two flat surfaces at z = 0 and z = 5.

According to the Divergence Theorem, the outward flux of F across the boundary of D is given by the volume integral of the divergence of F over the region D:

Flux = ∭D div F dV

Now, we need to set up the triple integral to evaluate the flux over the region D.

Since the divergence of F is -1, the flux simplifies to:

Flux = - ∭D dV

To evaluate this triple integral over the region D, we need to determine the limits of integration.

The region D is bounded by the cylinder x² + y² = 9 and the planes z = 0 and z = 5. The region D lies between z = 0 and z = 5, and within the circle of radius 3 (x² + y² = 9) in the xy-plane.

Therefore, the limits of integration are:

-3 ≤ x ≤ 3

-3 ≤ y ≤ 3

0 ≤ z ≤ 5

Now, we can set up the triple integral:

Flux = - ∭D dV

= - ∫[0 to 5] ∫[-3 to 3] ∫[-3 to 3] dx dy dz

The limits are constant, so we can pull them out of the integral:

Flux = - 5 ∫[-3 to 3] ∫[-3 to 3] dx dy

Now, integrate with respect to x and y:

Flux = - 5 ∫[-3 to 3] [xy] from -3 to 3 dy

= - 5 ∫[-3 to 3] (3y - 3y) dy

= - 5 ∫[-3 to 3] 0 dy

= 0

Thus, the outward flux of F across the boundary of the region D is 0 (C. 0).

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The question is incomplete the complete question is :

Using the Divergence Theorem find the outward flux of F across the boundary of the region D. F = (y - X)i + (2-y)j + (z - X)k, D the region cut from the solid cylinder x² + y² ≤ 9 by the planes z = 0 and z = 5

A. -45π B - 45 C.0 D. 45π

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

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Answer:

Step-by-step explanation:

2590