4y-3(5y-2)=-4-4(-2-y)

Since (2, 1) is the midpoint of CD, we can use the midpoint formula to find the coordinates of point D.

The midpoint formula states that the coordinates of the midpoint M between two points A and B are:

M = ((x_A + x_B)/2, (y_A + y_B)/2)

In this case, we know that point C has coordinates (6, 8), and the midpoint between C and D is (2, 1). Therefore, we can set up two equations using the midpoint formula:

(6 + x_D)/2 = 2 (for the x-coordinates)

(8 + y_D)/2 = 1 (for the y-coordinates)

Solving for x_D and y_D, we get:

6 + x_D = 4 => x_D = -2

8 + y_D = 2 => y_D = -6

Therefore, the coordinates of point D are (-2, -6).

Answer:

59

Step-by-step explanation:

x+1 = 7

Subtract 1 from each side

x+1-1 =7-1

x =6

x^2 + 22 +1

6^2 +22+1

36+22+1

36+23

59

Answer:

\(x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34\)

Answer:

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

Since LCM(x,y) = 80 we have:

Possible option:

Then the numbers are:

Answer:

5

Step-by-step explanation:

2x - 3 = 7

this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7

then you can just solve for x

2x=10

x=5

Answer:

  f'(x) = -2/√(x³)

Step-by-step explanation:

You want the derivative of f(x) = 4/√x.

The power rule for derivatives is ...

  \(\dfrac{d}{dx}(x^n)=nx^{(n-1)}\)

Applied to the given function, we have ...

  \(f(x)=\dfrac{4}{\sqrt{x}}=4x^{-\frac{1}{2}}\\\\f'(x)=4(-\frac{1}{2}x^{-\frac{3}{2}})\\\\\boxed{f'(x)=-\dfrac{2}{\sqrt{x^3}}}\)

__

Additional comment

The first attachment shows a calculator gives the same result.

The second attachment shows the derivative curve matches the one described by the function we found.

The given statement that allocation is a mathematical procedure that cannot be manipulated by the parties involved in making the allocation is true.

The term allocation refers to the process of dividing something among various parties. The term is often used in finance and economics to refer to the distribution of goods or resources among various groups or individuals.

Mathematical allocation refers to the distribution of a finite amount of resources among several competing individuals, groups, or companies. This is typically done with the help of mathematical techniques that are based on algorithms and statistical models.

An example of mathematical allocation can be seen in the allocation of financial resources in a company.In mathematical allocation, the parties involved in making the allocation cannot manipulate the process. This means that the allocation is done in a fair and impartial manner, without any interference from the parties involved. This helps to ensure that the allocation is done in an objective and unbiased way, which is important for maintaining the integrity of the allocation process.

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The area of hemisphere is given by  3πr² and the volume of the hemisphere is given by 2/3πr³.

When we divide the sphere into two equal halves, we get a hemisphere. The curved surface area of the hemisphere plus the base area will add up to the hemisphere's total surface area. Here, the foundation has a circular shape. We may discover many examples of hemispheres in daily life, such as how our planet Earth is divided into the southern and northern hemispheres.

A hemisphere's surface area is the sum of all of its faces. When a sphere is cut along a plane that runs through its centre, a three-dimensional shape known as a hemisphere is created. A hemisphere is, in other terms, one-half of a sphere.

3πr²

 A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.

2/3πr³.

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Answer:

The numerical length of EG is 20 units

Step-by-step explanation:

Here, we are told to determine the numerical length of EG

We are told in the question that point F is on the line segment EG

Thus, by mathematical conventions (

EG = EF + FG

inputing the values given in the question;

5x = 2x + 2x + 4

5x = 4x + 4

5x -4x = 4

x = 4

But EG = 5x

So EG = 5(4)

EG = 20 units

Answer:-7 1/7 or -7.14285714286

Step-by-step explanation:

(−2) ( 3 4 /7 )

(-2)(25/7)

(-50/7)

-7 1/7

Or in decimals: -7.14285714286

The required, John rode the scooter for 78 minutes.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Let's assume that John rode the scooter for x minutes.

The total cost for the ride can be expressed as:

Total Cost = Start-up fee + Cost per minute of the ride

Total Cost = $8 + $0.06*x

We know that the total bill for John's ride was $12.68. Therefore, we can set up an equation:

$12.68 = $8 + $0.06*x

Solving for x, we get:

$0.06*x = $12.68 - $8

$0.06*x = $4.68

x = $4.68 / $0.06

x = 78

Therefore, John rode the scooter for 78 minutes.

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Answer:

Range could be 205000 to 214999. Any number in this range, when rounded to two signnificant digits will yield 210000.

Answer:

yeeyee

Step-by-step explanation:

Answer: the answer is 0

Why 0?:

Step 1: Simplify both sides of the equation

-x * x= -x²

-x * -3= 3x all  together it is ( -x²+3x+12)

for the other side:

-x * x= -x²

6 * x= 6x and x * 2= 2x and 6 * 2= 12

then subtract 6x-4x= 2x so final would be = −x²+4x+12

Step 2: Add x² to both sides.

−x²+3x+12+x²=−x²+4x+12+x² then we are left with 3x+12=4x+12

Step 3: Subtract 4x from both sides.

3x+12−4x=4x+12−4x  --> −x+12=12

Step 4: Subtract 12 from both sides.

−x+12−12=12−12

−x=0

Step 5: Divide both sides by -1 or -x

x=0

Answer:

the picture below has the answer

Step-by-step explanation:

The missing numbers are 312.5 and 35.2

A z-score represents the number of standard deviations a data point is away from the mean. A score that is 2.5 standard deviations below the mean would have a z-score of -2.5 that is option D.

A z-score is a statistical measure that indicates how many standard deviations a particular data point is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value of the data point,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

If a score is 2.5 standard deviations below the mean, it means that the value of x is 2.5 times the value of σ below the mean. In other words, it is located in the left tail of the distribution.

Since the z-score represents the number of standard deviations away from the mean, a score that is 2.5 standard deviations below the mean would have a z-score of -2.5. The negative sign indicates that the score is below the mean.

So, if we substitute the values into the z-score formula:

z = (x - μ) / σ

-2.5 = (x - μ) / σ

This equation represents the z-score being -2.5, indicating that the score is 2.5 standard deviations below the mean.

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a) The shortened form of x.y + x' is 1.

b) x'. y'. (1 + x) x + y + (x + y)' is the abbreviated form of the expression.

a) The distributive property of Boolean algebra can be used to simplify the statement x.y + x': x.y + x' = x.(y + 1) + x' (1 denotes the Boolean value of true).

Since any value ORed with true always results in true, and y + 1 equals 1, we have:

y + 1 = 1 and x.(y + 1) + x' = x.1 + x'

Using the complement law x + x' = 1, one may deduce the identity law x.1 = x as follows: x.1 + x' = x + x' = 1.

The simpler expression is therefore 1.

b) Step-by-step simplification of the following formula x'. y'. (1 + x) x + y + (x + y)' is possible:

1. Divide (1 + x) by (x + y) to get the following result: x'. y'. (1 + x) x + y + (x + y)' = x'. y'. (x + y) + x'. y'. x + x'. y'. y + (x + y)'

2. Simplify the expression x'. y'. (x + y) as follows: x'. y'. (x + y) = x'. y'. x + x'. y'. y = x'. y'

3. Reduce x'. y'. x to its simplest form: x'. y'. x = 0 (because x'. x = 0)

4. Simplify x' . y' . y:

x' . y' . y = 0 (since y' . y = 0)

5. Simplify (x + y)':

(x + y)' = x' . y'

Now, we can substitute the simplified values back into the original expression:

x' . y' . (1 + x) x + y + (x + y)' = x' . y' + 0 + 0 + x' . y' = x' . y'

Therefore, the simplified expression is x' . y'.

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Answer:

Priya practiced for: 75 x 152% = 114 minutes or 1 hour and 54 minutes

Hope this helps!

Answer:

5.3

Step-by-step explanation:

-2r+3s

Let r=-8.2 s=-3.7

-2(-8.2) +3(-3.7)

16.4-11.1

5.3

Answer:

5.3

Step-by-step explanation:

Substitute the variables.

-2(-8.2) + 3(-3.7) = 5.3

Answer:

x = 3 and x = 4

Step-by-step explanation:

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

7x -12 = x^2

x^2 - 7x + 12 = 0

(-4)*(-3) = 12 and (-4)+(-3) = -7

(x-3)(x-4) = 0

x - 3 = 0. x = 3

x - 4 = 0. x = 4

The comparison suggests that the measures of arc l₁ and arc l₂ will be equal if they have the same central angle, but the lengths of arc l₁ and arc l₂ will vary depending on the radii of the circles they belong to.

To compare the measures of arc l₁ and arc l₂, and the lengths of arc l₁ and arc l₂, we need to understand the relationship between the measure of an arc and its length in a circle.

In a circle, the measure of an arc is given in degrees, while the length of an arc is determined by the circumference of the circle and is measured in units (e.g., centimeters or inches).

When comparing the measures of arc l₁ and arc l₂, if they have the same central angle, their measures will be equal. The measure of an arc depends solely on the central angle that intercepts it and is independent of the radius of the circle. Therefore, the measures of arc l₁ and arc l₂ should be the same if they have the same central angle.

However, when comparing the lengths of arc l₁ and arc l₂, the lengths will differ if the radii of the circles they belong to are different. The length of an arc is directly proportional to the radius of the circle. As the radius increases, the length of the arc also increases, and vice versa.

Therefore, the comparison suggests that the measures of arc l₁ and arc l₂ will be equal if they have the same central angle, but the lengths of arc l₁ and arc l₂ will vary depending on the radii of the circles they belong to.

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Answer:

1. quadrilateral; not regular

2. quadrilateral; regular

3. octagon; not regular

4. hexagon; regular

5. triangle; regular

6. pentagon; not regular

Answer:

7,13,6

Step-by-step explanation:

you must take the number minus 4 then add 6 minus 7 then add 9, minus 10 then add 12.

Answer:

False.

Step-by-step explanation:

It's ok to plan future activities for the group, but it's best to plan in the beginning of the group.

Using scientific notation, the number of significant digits that the product should have is:

B. 3.

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

\(5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3\)

Multiplying the bases and adding the exponents, we have that:

\(5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^{7}\)

42.8 has to be divided by 10 to assume for the base have only one digit, hence:

\(42.8 \times 10^{7} = 4.28 \times 10^6\)

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

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Answer:

54 inch²

Step-by-step explanation:

the cube has six surface. so we calculate the area of a surface and then multiple in six.

area of a surface: 3×3 = 9 inch²

area of the cube: 6×9 inch² = 54 inch²

Answer:

1st one

Step-by-step explanation:

Answer: I would think it would be the 1st one

Step-by-step explanation:

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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