Help would be appreciated ​

Answer:

See attachement

Step-by-step explanation:

See attachment

Answer:

it will be 1 : 3

Step-by-step explanation:

Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Let x be the number of cans that are 100% of the total cans collected.

Thus, 300 cans were collected in total.

1) Thursday

Remember that 46%=0.46; then, the 46% of 300 is

138 cans were collected on Thursday.

2) Friday

33%=0.33, then

99 cans were collected on Friday.

Answer:

The common multiple for 30 21 and 24 is 3

Step-by-step explanation:

30 = 3 × 10

21 = 3 × 7

24 = 3 × 8

Thus, 3 is the common multiple for 30 21 and 24.

-TheUnknownScientist

Answer:

y=3*x

Step-by-step explanation:

john bought 3 notebooks for 9 dollars

so 9/3=3

notebooks costed 3 dollars each

x-number of notebooks

y-cost of notebooks

so

y=3*x

because 3 dollar cost every notebook you could buy.

if i buy 2 notebooks

so x=2

y=3*2=6 dollars

if I buy 3 notebooks

then y=3*3=9 dollars

end this way continues

Given:

Jimmy done the subtraction directly without changing the mixed fraction to improper fraction and didn't took the LCM.

Answer:

-1/2 and -1

Step-by-step explanation:

Our system of equations is:

y = 2x²

y = -3x - 1

We can set the y's equal to each other:

y = 2x² = -3x - 1

Now, we have:

2x² = -3x - 1

Move all the terms to one side by adding both sides by 3x and 1:

2x² + 3x + 1 = 0

We must factor this quadratic. Note that the factoring is:

(2x + 1)(x + 1) = 0

Our solutions are now:

2x + 1 = 0           OR           x + 1 = 0

x = -1/2                                x = -1

.

Thus, our solutions are -1/2 and -1.

The midpoint of the line segment joining the points corresponding to the complex numbers 6 + i and 2 + 9i in the complex plane is 4 + 5i.

The midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In the complex plane, the x-coordinate corresponds to the real part of the complex number and the y-coordinate corresponds to the imaginary part.

So, for the complex numbers 6 + i and 2 + 9i, we can find the midpoint by averaging the real parts (6 and 2) and the imaginary parts (1 and 9):
Midpoint = ((6+2)/2, (1+9)/2) = (4, 5)
In complex number form, this would be 4 + 5i.
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Answer:

positive

Step-by-step explanation:

if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.

Answer:

X1= 1,x2=5,y1=6, y2=18

18_6/5_1=3

After using the concept of combinations, John can bring 10 different combinations of fruit to school.

To determine the number of combinations of fruit that John can bring to school, we need to calculate the number of ways he can choose 2 fruits from the given options. This can be done using the concept of combinations.

The formula for calculating combinations is:

C(n, r) = n! / (r! * (n - r)!)

Where n is the total number of items (fruits) and r is the number of items (fruits) to be chosen.

In this case, John has 5 fruits (n = 5) and he wants to bring 2 fruits (r = 2) to school.

Using the formula, we can calculate:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

Therefore, John can bring 10 different combinations of fruit to school.

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Answer:

people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get

The determinant of the given matrix = 2455

To find the determinant of the given matrix using cofactor expansion, let's expand along the first row:

det([5 0 -4 4]

[5 11 5 -7]

[-1 0 6 5]

[7 5 0 3])

Expanding along the first row, we can use the cofactor expansion formula:

det(A) = a11 * C11 - a12 * C12 + a13 * C13 - a14 * C14

where aij represents the element at the ith row and jth column of the matrix, and Cij represents the cofactor of the element aij.

Calculating the cofactors for each element:

C11 = (-1)^(1+1) * det([11 5 -7][0 6 5][5 0 3])

= 1 * (11 * 6 * 3 + 5 * 5 * 0 + (-7) * 0 * 0 - 5 * 6 * 0 - (-7) * 5 * 3 - 0 * 0 * 5)

= 1 * (198 + 0 + 0 - 0 - (-105) - 0)

= 1 * (198 + 0 + 0 + 105 + 0)

= 1 * (303)

= 303

C12 = (-1)^(1+2) * det([5 5 -7][-1 6 5][7 0 3])

= -1 * (5 * 6 * 3 + (-7) * 0 * 7 + 5 * 5 * 3 - 7 * 6 * 5 - 5 * 0 * 3 - 5 * (-7) * 0)

= -1 * (90 + 0 + 75 - 210 - 0 - 0)

= -1 * (-75)

= 75

C13 = (-1)^(1+3) * det([5 11 -7][-1 0 5][7 5 3])

= 1 * (5 * 0 * 3 + (-7) * 5 * 7 + 11 * 5 * 3 - (-7) * 0 * 11 - 11 * 5 * 0 - 5 * (-7) * 3)

= 1 * (0 + (-245) + 165 - 0 - 0 - (-105))

= 1 * (-245 + 165 + 105)

= 1 * 25

= 25

C14 = (-1)^(1+4) * det([5 11 5][-1 0 6][7 5 0])

= -1 * (5 * 0 * 0 + 5 * 6 * 7 + 11 * 7 * 0 - 11 * 0 * 7 - 7 * 6 * 0 - 5 * 5 * 0)

= -1 * (0 + 210 + 0 - 0 - 0 - 0)

= -1 * (210)

= -210

Now, we can calculate the determinant using the cofactor expansion formula:

det(A) = a11 * C11 - a12 * C12 + a13 * C13 - a14 * C14

det(A) = 5 * 303 - 0 * 75 - (-4) * 25 - 4 * (-210) = 2455

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Answer:

80%

Step-by-step explanation:

We need to find the percent of change from 3,545 pt to 709 pt.

Original value is 3,545

Changed value is 709

Percent change is given by :

\(\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%\)

So, there is 80% of change from 3,545 pt to 709 pt.

This figure begins with the sentence, “We substitute x equals 3 and y equals 2 into both equations.” The first equation reads 3 times x minus 7equals 7. Then, 3 times 3 minus 2 equals 7. Then 7 = 7 is true. The second equation reads x minus 2y equals 4. The n times 2 minus 2 times 2 = 4. Then negative 2 = 4 is false.

The ordered pair (3, 2) made one equation true, but it made the other equation false. Since it is not a solution to both equations, it is not a solution to this system.

Exercise  5.1.1

Determine whether the ordered pair is a solution to the system:  {x−y=−12x−y=−5

(−2,−1)

(−4,−3)

Answer

Exercise  5.1.2

Determine whether the ordered pair is a solution to the system:  {3x+y=0x+2y=−5

(1,−3)

(0,0)

Answer

Exercise  5.1.3

Determine whether the ordered pair is a solution to the system:  {x−3y=−8−3x−y=4

(2,−2)

(−2,2)

Answer

Solve a System of Linear Equations by Graphing

In this chapter we will use three methods to solve a system of linear equations. The first method we’ll use is graphing. The graph of a linear equation is a line. Each point on the line is a solution to the equation. For a system of two equations, we will graph two lines. Then we can see all the points that are solutions to each equation. And, by finding what the lines have in common, we’ll find the solution to the system.

Most linear equations in one variable have one solution, but we saw that some equations, called contradictions, have no solutions and for other equations, called identities, all numbers are solutions. Similarly, when we solve a system of two linear equations represented by a graph of two lines in the same plane, there are three possible cases, as shown in Figure  5.1.1 :

This figure shows three x y-coordinate planes. The first plane shows two lines which intersect at one point. Under the graph it says, “The lines intersect. Intersecting lines have one point in common. There is one solution to this system.” The second x y-coordinate plane shows two parallel lines. Under the graph it says, “The lines are parallel. Parallel lines have no points in common. There is no solution to this system.” The third x y-coordinate plane shows one line. Under the graph it says, “Both equations give the same line. Because we have just one line, there are infinitely many solutions.”

Figure  5.1.1

For the first example of solving a system of linear equations in this section and in the next two sections, we will solve the same system of two linear equations. But we’ll use a different method in each section. After seeing the third method, you’ll decide which method was the most convenient way to solve this system.

Exercise  5.1.4 : How to Solve a System of Linear Equations by Graphing

Solve the system by graphing:  {2x+y=7x−2y=6

Answer

Exercise  5.1.5

Solve each system by graphing:  {x−3y=−3x+y=5

Answer

Exercise  5.1.6

Solve each system by graphing:  {−x+y=13x+2y=12

Answer

The steps to use to solve a system of linear equations by graphing are shown below.

TO SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.

Graph the first equation.

Graph the second equation on the same rectangular coordinate system.

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system.

If the lines intersect, identify the point of intersection. Check to make sure it is a solution to both equations. This is the solution to the system.

If the lines are parallel, the system has no solution.

If the lines are the same, the system has an infinite number of solutions.

Exercise  5.1.7

Solve the system by graphing:  {y=2x+1y=4x−1

Answer

Exercise  5.1.8

Solve the system by graphing:  {y=2x+2y=−x−4

Answer

Exercise  5.1.9

Solve the system by graphing:  {y=3x+3y=−x+7

Answer

Both equations in Exercise  5.1.7  were given in slope–intercept form. This made it easy for us to quickly graph the lines. In the next example, we’ll first re-write the equations into slope–intercept form.

Exercise  5.1.10

Solve the system by graphing:  {3x+y=−12x+y=0

Answer

Exercise  5.1.11

Solve each system by graphing:  {−x+y=12x+y=10

Answer

Exercise  5.1.12

Solve each system by graphing:  {2x+y=6x+y=1

Answer

Usually when equations are given in standard form, the most convenient way to graph them is by using the intercepts. We’ll do this in Exercise  5.1.13 .

Exercise  5.1.13

Sopt form.y=12x−3m=12,b=−3{y=12x−3x−2y=4 If we solve the second equation for y, we get x−2y=4x−2y=−x+4y=12x−2m=12,b=−2

The two lines have the same slope but different y-intercepts. They are parallel lines.

Figure  5.1.3  shows how to determine the number of solutions of a linear system by looking at the slopes and intercepts.

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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a)  The direction in which you should walk to descend fastest is: (-12, -16)

b) The slope of your path is: -88

c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)

The maximum rate of change is: 4√2

d) The direction of the greatest decrease is: (4, -4).

The most negative rate of change is: 4√2

(a) The equation on the surface is:

z = 15 - (3x² + 2y²)

The gradient of this surface will be the partial derivatives of the equation. Thus:

Gradient of the surface z:

∇z = (-6x, -4y)

Since you are standing above the point (2,4), then the direction to descend fastest is:

∇z(2,4) = (-6(2), -4(4))

∇z(2,4) = (-12, -16)

That gives us the direction to descend fastest is in the direction.

(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:

Slope = ∇z(2,4) · (-12, -16)

= (2)(-12) + (4)(-16)

= -24 - 64

= -88

(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).

Thus, the gradient of T(x,y) is given by:

∇T = (2x, 2y).

The direction is:

∇T(-2, 2) = (2(-2), 2(2))

∇T(-2,2) = (-4, 4)

The maximum rate of change is:

∇T(-2,2) = √((-4)² + 4²)

= √(16 + 16)

= √(32)

= 4√2

(d) The direction of the greatest decrease is:

(-∇T(-2, 2)) = (-(-4), -4)

= (4, -4).

The most negative rate of change is:

∇T(-2, 2) = √(4² + (-4)²)

= √(16 + 16)

= √(32)

= 4√2

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The system of linear equations are;

a + b = 5.30

a + b = 7

Expressing the information as a system of linear equations:

Consider that apples = a, oranges = b

If $5.30 is charged for one apple and one orange, then we get the equation as

a + b = 5.30 - - - (1)

If $14 is charged for 2 apples and 2 oranges,  then we get the equation as ;

2a + 2b = 14 - - - - (2)

a + b = 7

Since both equations give varying combined cost for an equal amount of fruit, so a unique cost cannot be obtained for each fruit from the systems of equation using a simultaneous equation process.

From (1)

a = 5.30 - b

Put a, b in (2)

2(5.30 - b) + 2b = 14

10.6 - 2b + 2b = 14

10.6 = 14

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Your answer will be letter C [-4, ∞)

Answer:

f(5.5)≈27.32

Step-by-step explanation:

The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60(\(1.19^{x}\)).

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

Suppose the exponential function is f(x) = a\(b^{x}\).

As per the given,

f(4.5) = 23

Put x = 4.5 as

23 = a\(b^{4.5}\)               (1)

As per the given,

f(8) = 42

Put x = 8 as

42 = ab⁸                  (2)

Divide equation (2) by (1) as,

ab⁸  / a\(b^{4.5}\) = 42/23

\(b^{8-4.5}\) = 42/23

b = 1.19

Again put into (2)

42 = a(1.19)⁸

a = 10.60

Thus, the function will be f(x) = 10.60(\(1.19^{x}\)).

Hence "The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60(\(1.19^{x}\))".

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Answer:

the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)

Step-by-step explanation: i got it right on the test edge 2021

Answer: The answer is 4x - 10.

Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.

Answer:

4x-5

Step-by-step explanation:

Two cylindrical vessels are needed to hold the same volume as the spherical vessel.

The volume of a sphere is given by the formula:

\(V = (4/3)\pi r^3\)

where V is the volume and r is the radius of the sphere.

The symbol π (pi) represents the mathematical constant approximately equal to 3.14159.

So, if the radius of a sphere is r, its volume is \((4/3)\pi r^3.\)

The volume of the spherical vessel can be calculated using the formula:

\(V_{sphere} = (4/3)\pi r^3\)

where r is the radius of the sphere. Substituting the given value, we get:

\(V_{sphere} = (4/3) \times 3.14 \times 6^3\)

\(= 904.32 m^3\) (rounded to two decimal places)

The volume of each cylindrical vessel can be calculated using the formula:

\(V_{cylinder} = \pi r^2h\)

where r is the radius of the cylinder and h is the height. Substituting the given values, we get:

\(V_{cylinder} = 3.14 \times 6^2 \times 4\)

\(= 452.16 m^3\)(rounded to two decimal places)

To find the number of cylindrical vessels needed to hold the same volume as the spherical vessel, we can divide the volume of the spherical vessel by the volume of each cylindrical vessel:

Number of cylindrical vessels =\(V_{sphere} / V_{cylinder}\)

= \(904.32 / 452.16= 2\)

Therefore, two cylindrical vessels are needed to hold the same volume as the spherical vessel.

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Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

Im stupid so dont trust me but imma guess and say c

Answer:

YEH its B X to the second power Plus 10

Step-by-step explanation:

41 trees should be planted per acre to obtain the maximum yield per acre, and the maximum yield should be of 697 pound acre. So, the grower should plant 41 trees per acre to obtain the maximum yield of 697 pounds per acre.

To obtain the maximum yield per acre, we need to find the optimal number of trees to plant.

Let x be the number of additional trees planted per acre, so the total number of trees planted per acre will be 18 + x.

From the information given, we know that if x additional trees are planted, the average yield per tree will be reduced by x pounds.

Therefore, the total yield per acre will be (18 + x)(40 - x) pounds of cherries.

To find the maximum yield, we need to find the value of x that maximizes this expression. We can do this by taking the derivative of the expression with respect to x:

d/dx [(18 + x)(40 - x)] = 18 - 2x

Setting this equal to zero and solving for x, we get:

18 - 2x = 0
x = 9

Therefore, the optimal number of additional trees to plant per acre is 9, and the total number of trees to plant per acre is 27. The maximum yield per acre is:

(18 + 9)(40 - 9) = 27 * 31 = 837 pounds of cherries.

A commercial cherry grower estimates from past records that if 18 trees are planted per acre, each tree will yield an average of 40 pounds of cherries per season.

With each additional tree planted per acre (up to 23 additional trees), the average yield per tree is reduced by 1 pound.

To find the maximum yield per acre, we can create an equation for total yield as a function of the number of additional trees (x) planted per acre:

Total Yield (Y) = (18 + x) * (40 - x)

To find the maximum yield, we need to find the value of x that maximizes Y. The equation is a quadratic equation, which has a maximum value when x = -b/2a.

In this case, a = -1, and b = 58.

So: x = -58/(2 * -1) = 29

However, we can only plant up to 23 additional trees. Therefore, the grower should plant all 23 additional trees to maximize the yield per acre.

Now, we can find the maximum yield:

Y = (18 + 23) * (40 - 23) = 41 * 17 = 697 pounds per acre

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Chee's total earnings in a week can be calculated by adding her guaranteed salary of $250 to the commission she earns based on her total sales. The commission is equal to 30% of her sales. Therefore, if Chee made $2025 in sales, her total earnings for that week would be $802.50. In general, if Chee made x dollars in sales, her total earnings for the week would be $250 + 0.3x.

To calculate Chee's total earnings in a week, we need to consider her base salary and commission. Her guaranteed salary is $250 per week. The commission she earns is equal to 30% of her total sales.

If Chee made $2025 in sales, her commission would be 0.3 * $2025 = $607.50. Adding her base salary to the commission, her total earnings for that week would be $250 + $607.50 = $857.50.

In general, if Chee made x dollars in sales, her commission would be 0.3 * x, and her total earnings for the week would be $250 + 0.3x. This formula allows us to determine Chee's earnings based on any given sales amount x.

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