Jennifer buys four tubs of coleslaw. She serves two-fifths of each tub onto one plate.
How many plates can she serve before she runs out of coleslaw?

Answer:

the tool is the compass

Step-by-step explanation:

It affors a high quality circles with precise mesurements

The slope of a line is the average rate of change of the line.

The slope of the line would be 45

From the question, we understand that she can swim 90 meters in 2 minutes.

So, the slope (m) of the line of the graph would be

\(m=\frac{90 - 0}{2 - 0}\)

Simplify the numerator, and the denominator

\(m=\frac{90}{2}\)

Divide 90 by 2

\(m=45\)

Hence, the slope of the line would be 45

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Recall the empirical rule: approximately 95% of any normal distribution lies within 2 standard deviations of the mean.

Z is normally distributed with mean 0 and s.d. 1, so z = -2 and z = 2 are both 2 s.d. from the mean.

So Pr(-2 < Z < 2) ≈ 0.95 = 95%.

Answer:

for 60 naira with a 15% off there would be a $9 dicount

Step-by-step explanation:

60*.15=9      discount rate

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Answer:

There will be lots

Step-by-step explanation:

It is actually infinite.

Answer:

B.

Step-by-step explanation\(\sqrt[3]{216} =6\)

Answer:

\(\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}\)

Step-by-step explanation:

\(f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5\)

\(\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}\)

\(\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x\)

This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

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Step-by-step explanation:

The 'mean' is the 'average'

    add all of the heights together .....thien divide by the NUMBER of heights that were used.

Answer:

B

Step-by-step explanation:

B is the best answer because it's a lot of students and unbiased

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

-36-128b

Step-by-step explanation:

Simply take -36 out of the parentheses to get -36-128b.

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

Answer:

Hey there!

Angle 6 and 4 are alternate interior angles.

Thus, 4 is 5 degrees.

Let me know if this helps :)

The surface area of the pyramid is A = 265.23 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of hexagonal pyramid be represented as A

Surface area of hexagonal pyramid = Area of base + area of lateral surface

Area of the base = 93.5 inches²

Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )

where a = 6 inches

h = 8 inches

Substituting the values in the equation , we get

Area of the lateral surface = ( 3 x 6 ) √ ( 64 + ( 3 x 36 / 4 ) )

On simplifying the equation , we get

Area of the lateral surface = 171.7 inches²

So , Surface area of hexagonal pyramid = Area of base + area of lateral surface

Surface area of hexagonal pyramid A = 93.5 inches² + 171.7 inches²

Surface area of hexagonal pyramid A = 265.23 inches²

Hence , the surface area of hexagonal pyramid is 265.23 inches²

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Answer:

D because angle U is equal to angle W because it is diverting angle

Answer:

-2x - 24

Step-by-step explanation:

Therefore, the answer is -2x - 24.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Step-by-step explanation:

-2(3x-4)+4(x-8)

-6x+8+4x-32

-6x+4x+8-32

-2x+-24

answer is equals to -2x+-24

hope this helps

pls rate brainliest thank you

Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

An expression in mathematics is made up of various elements, including numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can represent a single number or a group of numbers, and they can be simple or sophisticated. For instance, the phrase 3x + 2 denotes a linear equation with the variable x. The expression (x + 3)(x - 4) denotes the sum of two binomials.

given

First and third expressions are interchangeable.

the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

Area is equal to length times breadth.

Area = 4x + 8x + (x + 2) x 4a rectangular prism with dimensions of 2 units long, 1 units broad, and (2x + 4) units high has a volume of 4 units.

Volume is calculated using the formula LWH.

Volume equals 2 x 1 x ((2x + 4))

Volume equals 2(2x + 4)

Volume = 4 times Plus 8

Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

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Answer:

Decreasing: y, infinity

Constant: y, negative infinity

Step-by-step explanation:

You just had it backwards, the interval for infinity is based on the x-axis not the y-axis. The decreasing portion is moving toward positive infinity on the x-axis because it's moving to the right. The constant is moving to the left so it is negative infinity.

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

It will take them 3.5 hours to paint the room.

Step-by-step explanation:

Step 1: Add the number of hours it takes them together

    A. 6 + 8

Step 2: Divide the total number of hours by two (since two people are working together)

    B. 12 / 2 = 7 hours

Step 3: Divide by two again since you now have twice the speed

    C. 7 / 2 = 3.5 hours

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

\( - 4x + 12 = - 4 \\ - 4x = - 4 - 12 \\ 4x = 4 + 12 \\ 4x = 16 \\ x = \frac{16}{4} = 4\)