A store has apples on sale for $12.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $72.00? Complete the explanation.

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

5/6

Step-by-step explanation:

10minutes = 25/3 pages

Minutes /pages = 25/3 ÷ 10 = 25/3 × 1/10 = 25/30

= 5/6

Answer:

I think it's 41°

Step-by-step explanation:

Because the angle represents Tan, by using the inverse of tan and the formula of Opp/Adj, the answer will be 41.08 Which is 41°

I hope This helps! and make me brainliest as you said, PLEASE..

4,400

The number 3 is in the hundredths place the 8 is behind the 3 so it’s larger than 5 so you turn the 3 into a 4(4,400) and turn all the numbers behind zero (4,400).

Step-by-step explanation:

This was actually a thing that I learned 4 years ago so I'm not sure but,

I think it's 4400

Answer:

12 y − 3

Step-by-step explanation:

4(3y+2)-11

Expand 4(3y+2): 12y+8

12y+8-11

=12y-3

Given:

Three of the vertices of a parallelogram are given as

Required:

(a) Plot the point A, B and C in the coordinate plane

(b) Find the mid-point of diagonal AC

(c) Find the fourth vertex D

(d) Find the length of diagonal AC

(e) Find the perimeter of ABCD.

Explanation:

Take D coordinate as (x,y)

now midpoint of AC and BD is same so

midpoint of AC

length of diagonal AC

perimeter of ABCD

perimeter is

Final answer:

(b) Find the mid-point of diagonal AC

(c) Find the fourth vertex D

(d) Find the length of diagonal AC

(e) Find the perimeter of ABCD.

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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the values of x that determine the nature of solutions are :For a unique solution: x ≠ 3 and for an infinite number of solutions: x = 3 and for no solution: x = 3.

a. A unique solution: The system of equations will have a unique solution if the reduced matrix is in the form of an upper triangular matrix with non-zero entries along the main diagonal. Looking at the given reduced matrix:

1 -2 1 4

0 1 4 8

0 0 x-3 3

For a unique solution, the last row of the matrix should not have all zeros except for the last entry (in this case, x-3 should not be zero). Therefore, for the system of equations to have a unique solution, the value of x should not be equal to 3.

b. An infinite number of solutions: The system of equations will have an infinite number of solutions if the reduced matrix has a row of zeros and the corresponding entry in the augmented column is also zero. In the given reduced matrix, the third row has zeros in the first two columns, and the entry in the augmented column is 3. This means that the system will have an infinite number of solutions when x = 3.

c. No solution: The system of equations will have no solution if the reduced matrix has a row of zeros and the corresponding entry in the augmented column is non-zero. In the given reduced matrix, if x-3 = 0 and the entry in the augmented column is not zero, then the system will have no solution. Therefore, when x = 3, the system of equations will have no solution.

In summary, the values of x that determine the nature of solutions are:

For a unique solution: x ≠ 3

For an infinite number of solutions: x = 3

For no solution: x = 3

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The value of the interquartile range for the given subsample is 8.

The interquartile range (IQR) is a measure of the dispersion of a set of observations. It is defined as the difference between the third quartile and the first quartile (Q3-Q1). The subsample data is as follows: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20. The interquartile range for the subsample data can be computed as follows:

Step 1: Arrange the data in ascending order: 18, 20, 21, 22, 24, 24, 25, 27, 28, 31, 35, 36.

Step 2: Find the median of the lower half of the data, which is called the first quartile, Q1. Here, the lower half of the data is 18, 20, 21, 22, 24, and 24. Hence, the median of the lower half of the data is the average of the two middle values, which is Q1 = (22 + 21)/2 = 21.5.

Step 3: Find the median of the upper half of the data, which is called the third quartile, Q3. Here, the upper half of the data is 24, 25, 27, 28, 31, 35, and 36. Hence, the median of the upper half of the data is the average of the two middle values, which is Q3 = (28 + 31)/2 = 29.5.

Step 4: Calculate the interquartile range as the difference between the third quartile and the first quartile: IQR = Q3 - Q1 = 29.5 - 21.5 = 8.

Therefore, the value of the interquartile range for the given subsample is 8.

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Answer:

If the price is p and the cost is c, then

15p = 20c

p/c = 20/15 = 1.333

so, he made 33% profit

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Keith determined that the area of the rectangle is 56 m²

and that the area of each triangle is 14 m². He

added the areas of the two triangles and the rectangle for a total

area of 84 m².

The area of the parallelogram will be the area of two triangles and a rectangle

A parallelogram is a two dimensional shape with equal opposite sides.

The opposite sides of a parallelogram are congruent. In order to find the area of the parallelogram!l, the formula of a parallelogram can be applied or the shape divided into 3 parts.

The 3 is made up of 2 triangles and a rectangle to have;

Area of the parallelogram = area of the two triangles + area of rectangle.

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Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

\( {x}^{2} - 2x + 6 = 0\)

Complete the Square.

\( {x}^{2} - 2x = - 6\)

\( {x}^{2} - 2x + 1 = - 5\)

\((x - 1) {}^{2} = - 5\)

\(x = + - 1 + i \sqrt{5} \)

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

\(\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph\)

Answer:

B.

Step-by-step explanation:

5 * f (The number of fish) has to be less than or equal to $30

Answer:

try clicking on another option?

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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The function \(f(x) = x^2-6x+1\) is an order 2 function. To make it to the perfect square, 8 units of tiles are added to the function.

Option C is correct.

The function can be defined as an expression that defines a relationship between one independent variable with another dependent variable.

The given function is \(f(x) = x^2-6x+1\).

The function needed more unit tiles to add so that it becomes a complete square.

The given function is an order 2 function, the side of the square will be order 1. Let's consider an order 1 function ax+b to be the side of the square. Also, consider that t number of tiles added to the order 2 function so that it can become the perfect square.

\(f(x) + t = (ax+b)^2\)

\(x^2 -6x + 1 + t = a^2x^2 + 2abx + b^2\)

By comparing the integers of both sides of orders, we get

\(a^2=1, \;2ab = -6, \; b^2 = 1+t\)

Putting the value of a to get the value of b,

\(2\times 1 \times b = -6\\b=-3\)

The value of t can be found out as,

\((-3)^2 = 1+t\\9 = 1+t\\t=8\)

Hence we can conclude that 8 units of tiles are added to make the function, a perfect square.

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Answer:

C

Please enjoy the sweet taste of victory!

:D

Answer:

third angle = 115°

Step-by-step explanation:

angles in a triangle add up to 180°

since you already know the total angles for two of the angles all you need to do is subtract the number from 180 to find the third angle

180-65=115

How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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Looking at the sequence 2, 4, 6, 8, 10, ..., we can see that the first element is 2 and each subsequent element is 2 units more than the previous element.

Knowing that, we can write the equations:

Therefore the correct option is A.

The specified circle's center is at (-7, 4). The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).

We must deduct 3 from x and 4 from y in order to move the circle 3 units to the right and 4 units below. The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).

By inserting the new center and simplifying, it is possible to find the equation for the resulting circle. The equation for a circle has the conventional form\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) is the circle's center and r is its radius. Since the original equation is\((x+7)^2+(y-4)^2=36\), we may substitute the new center (-10, 0) and the radius 6 to obtain \((x + 10)^2 + y^2 = 36\)as the equation of the translated circle.

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Answer:

10

Step-by-step explanation:

d=\(d=\sqrt{(10-2)^{2}+(3-9)^{2} } = \sqrt{(8)^{2}+(-6)^{2} } =\sqrt{100} =10\)

The sum of the first five terms of the geometric sequence 5, 15, 45, ... is 605.

the sum of the first five terms of the geometric sequence 5, 15, 45, ...

1. Identify the common ratio (r) by dividing the second term by the first term: r = 15 / 5 = 3.
2. Use the formula for the sum of the first n terms of a geometric sequence: Sn = a(1 - r^n) / (1 - r), where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
3. In this case, a = 5, r = 3, and n = 5. Plug these values into the formula: S5 = 5(1 - 3^5) / (1 - 3).
4. Calculate the sum: S5 = 5(1 - 243) / (-2) = 5(-242) / (-2) = -1210 / -2 = 605.

The sum of the first five terms of the geometric sequence 5, 15, 45, ... is 605.

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Answer:

x = -7

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Let x = the cost of one large pizza

Let y = the cost of one small drink

  3x + y = 21.96

-(6x + y = 27.93)

-3x        = -5.97

          x = $1.99

3(1.99) + y = 21.96

5.97 + y = 21.96

y = $15.99

So, 1 large pizza and 8 small drinks would cost  15.99 + 8(1.99) = $31.91

-God

Answer:

Step-by-step explanation:

"1 pizza and 2 drinks cost ​$19.97"

p + 2d = 19.97

"1 pizza and 4 drinks cost ​$27.95"

p + 4d = 27.95

2d = 27.95-19.97 = 7.98

d = 3.99

p = 19.97 - 2d = 11.99

"cost y​ (in dollars) for 1 pizza and any number of drinks x."

y = 11.99 + 3.99x

Therefore, the equation of the line that is parallel to the given line and passes through the given point is:y = mx−mx₂+y₂Here, m is the slope of the given line, (x₂,y₂) is the given point, and b= \(−mx₂+y₂ \) is the y-intercept of the line.

When writing an equation of a line, we will use the point-slope form y−y₁ = m(x−x₁), where m is the slope of the line and (x₁,y₁) is a point on the line. Then we will rewrite the equation in slope-intercept form y = mx+b, where b is the y-intercept of the line.

Finally, we will substitute the given values into the equation to obtain the desired equation of the line.Let's say we are given a line with slope m and y-intercept b. To write the equation of a line that is parallel to this line and passes through a given point (x₂,y₂),

we will follow these steps:

Step 1: Determine the slope of the line. Since the line is parallel to the given line, it has the same slope as the given line. Therefore, the slope of the line is m.

Step 2: Write the point-slope form of the line. Using the point-slope form y−y₁ = m(x−x₁) and the given point (x₂,y₂), we obtain:y−y₂ = m(x−x₂)

Step 3: Write the equation in slope-intercept form. To do this, we will solve for\( y:y−y₂ = m(x−x₂)y−y₂ = mx−mx₂y = mx−mx₂+y₂\)

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