a bread recipe calls for 3 3/8 cups of white flour and 2 1/2 cups of whole wheat flour. How many cups of flour in all?

Answer:

11.  8 mph

12. Yes the rates are equivalent

Step-by-step explanation:

11.

We need to calculate the distance the person would walk in 1 hour.

To do this, multiply both by 24:

1/3 x 24 = 8 miles

1/24 x 24 = 1 hour

Therefore, the person's speed = 8 mph

12.

0.2 km for every 0.5 min

0.8 km for every 2 min

If we multiply both numbers in the first rate by 4 we will get:

(0.2 x 4) km for every (0.5 x 4) min = 8 km for every 2 min

This is the same as the second rate.

Therefore the rates are equivalent (as they are the same)

Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

As a result, the price of the ribbons is proportional to the number of party favours, with each Favour costing (3/4) dollars.

A measurable quality such as weight, length, time, volume, or pressure is referred to as quantity. A unit is a unit of measurement that is used to measure other quantities (for example, a gramme, a second, a liter, or a pascal are unit of the above quantities). Chemists employ a wide range of measurements.

The amount of ribbon required for n party favours is calculated as follows:

19n inches (since each party Favour requires 9 inches of ribbon)

As the price is stated in dollars per yard, we must first convert the amount of inches to yards before we can determine the ribbon's total cost. Since there are 36 inches in every yard, we can calculate the number of yards by dividing the total amount of inches by 36:

Total yards of ribbon = (9n) / 36 = (n) / 4

Thus, the following phrase represents the ribbon's overall cost:

3 × (n/4) = (3n) / 4 dollars

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Answer:

Step-by-step explanation:

So we know that the average of numbers is all of the numbers added up and divided by the total amount of numbers.

      2721

   + 2557

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

       5278

.... AND SO ON.........

=14,894 is all of the number added together!!!

Then we count up the numbers= 5

       14,894/5

=2978.8

I hope this helps!!!

Answer:

19

Step-by-step explanation:

Step 1:

x = 10

Step 2:

2 ( 10 ) - 1

Step 3:

20 - 1

Answer:

19

Hope This Helps :)

Answer: \(\dfrac15\)

Step-by-step explanation:

Given : A cloth bag contains 6 cards numbered 1 through 6. Two cards are drawn without replacement.

Favorable outcome: sum of the numbers on the two drawn cards is 7

Since 1+6 = 7 , 2+5=7, 4+3 = 7

So, sum of 7 can be obtained as (1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)

Probability of getting (first 1, second 6) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 2, second 5) = (\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 3, second 4) =\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 4, second 3) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 5, second 2) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 6, second 1) =\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Required probability =\(6\times\dfrac{1}{30}=\dfrac15\)

Hence, the required probability = \(\dfrac15\)

Answer:

x^2-2x-48

Step-by-step explanation:

FOIL

Firsts = x*x = x^2

outside = x*-6 = -6x

inside = 8*x = 8x

lasts = 8*-6 = -48

add all together x^2-6x+8x-48 = x^2-2x-48

Answer:

x² + 2x - 48

Step-by-step explanation:

( x + 8 ) ( x - 6 )

=  x ( x - 6 ) + 8 ( x - 6 )

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

= x² - 6x + 8x  - 48

= x² + 2x - 48

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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Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

B)

E)

Step-by-step explanation:

       translation                                   Dilation

M(x,y) ——————>M”(x”,y”)=(x+5,y+8) ——————> M’(x’,y’)=(3x”,3y”)

S(-5,-8) ——————>S”(x”,y”)=(0,0) ——————> S’(x’,y’)=(0,0)

R(-7,-6) ——————>R”(x”,y”)=(-2,2) ——————> R’(x’,y’)=(-6,6)

Q(-8,-10) ——————>Q”(x”,y”)=(-3,-2) ——————> Q’(x’,y’)=(-9,-6)

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer: D

Step-by-step explanation: 25.12

Answer: The actual answer is (175.84 square inches)

Step-by-step explanation:

First, find the area of the pizza.

You need to use the formula for area of a circle: A = πr^2

or in words, the area of a circle is equal to pi times radius to the second power.

So find the radius which is half the diameter.

The diameter is 16 inches, so the radius is 8 inches.

Now raise 8 to the second power, meaning that you need to times 8 by 8

(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)

That is the area of the entire pizza.

But you still need to find how many square inches are left after 1/8 is eaten.

If 1/8 is eaten, then that means the pizza is divided into eighths.

Take 200.96 and divided that by 8 to find how much the individual pieces are.

200.96/8 = 25.12

But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84

Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right

Here is a photo from my test:

Have a good day

Answer: 72

Because the picture shows that there's a 90 degree angle in the bottom. We know that the bottom triangle is a 45-45-90 triangle. So the length of one side   is 18 because a 45 45 90 triangle has two sides that are equivalent (x) and one side that is x\(\sqrt{2} \\). So now that we know the length of one side is 18, we know the lengths of all 4 sides. Adding them up ( 18 + 18 + 18 + 18) gives 72, which is the perimeter.

Answer:

=)

Step-by-step explanation:

Step-by-step explanation:

8. 120° - Obtuse angle

9. 40° - Acute angle

10. 180° - Straight angle

11. 90° - Right angle

Answer: Its No Solution!

Step-by-step explanation: x+1 & x-2 can not be equal to the same thing :)

Realizing the conversion of the fraction to decimal, we divide 45 by 100, and end up with 0.45.

A fraction is converted to decimal dividing the numerator by the denominator.

In this problem, the fraction is 45/100, hence:

45 is less than 100, hence the conversion is given as follows:

0.450/100 = 0.45.

Thus, realizing the conversion of the fraction to decimal, we divide 45 by 100, and end up with 0.45.

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Answer:

A company determines that its marginal profit, in dollars, for

producing x units of a product is given by P'(x) = 6800x4,

where x > 1. Suppose it were possible for this company to make

infinitely many units of this product. What would the total profit be?

To find the total profit, we need to integrate the marginal profit function to obtain the profit function, and then evaluate the profit function at infinity.

The profit function is obtained by integrating the marginal profit function:

P(x) = ∫ P'(x) dx = ∫ 6800x^4 dx = 1360x^5 + C

where C is the constant of integration.

Since the company can produce infinitely many units, we can assume that they will continue to produce units until the marginal cost equals zero, which means that the marginal profit is also zero. This occurs at the maximum of the profit function.

To find the maximum of the profit function, we can take the derivative of the profit function with respect to x and set it equal to zero:

P'(x) = 6800x^4 = 0

x = 0

However, the condition given is x > 1, which means that the maximum occurs at the limit as x approaches infinity:

lim x→∞ P(x) = lim x→∞ (1360x^5 + C) = ∞

Therefore, the total profit is infinite if the company can produce infinitely many units of the product.

Answer: VM = 16

Step-by-step explanation:

Find x

(x-1 )/ (2x-4) = (2x -2) / 3x

________________

Can you see the updates?

_________________

(x-1 )* 3x = (2x -2) (2x-4)

x* 3x -1*3x = 2x*2x -2*2x - 4*2x +2*4

3x^2 - 3x = 4 x^2 -4x - 8x + 8

4 x ^2 - 3x^2 -4x + 3x -8x + 8 = 0

x ^2 - 9x + 8

(x -1) (x -8) = 0

x = 1

x = 8

_____________

Answer

x = 1

x = 8

________________

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\(\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4\)

2 to the fourth power is 16

Answer:

Step-by-step explanation:

The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

A basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].

To find a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7], we can use the concept of the cross product.

Let's consider the vectors [1,0,5,-9] and [0,1,9,-7] as vectors A and B, respectively.

We can find a vector C that is perpendicular to both A and B by taking the cross product of A and B.

C = A × B

To compute the cross product, we can use the following determinant formula:

C = [i, j, k]

[1, 0, 5]

[0, 1, 9]

Expanding the determinant, we have:

C = (0 × 9 - 1 × 5)i - (1 × 9 - 0 × 5)j + (1 × 5 - 0 × 1)k

= -5i - 9j + 5k

Therefore, we have found a vector C that is perpendicular to both [1,0,5,-9] and [0,1,9,-7], which is C = [-5, -9, 5].

To find a basis of the subspace, we can use this vector C as the basis vector. Since it is the only vector in the subspace, it forms a basis.

So, a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].

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Answer: 10m, 33m, and 29m

Step-by-step explanation:

n + 3n+3 + 3n-1 = 72m

7n+2=72m

7n = 72-2

n = 70/7

n = 10