GCF of 50 and 100 is..

The number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is A. 640,488.

It should be noted that a place value is the value that is represented based on the position of a number.

In this case, the digit of 6 in 62,045 is 60000. From the options, the digit of 6 in 640488 is 600000. This is 10 times the value.

Therefore, the number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is 640,488. The correct option is A.

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100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

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Answer:

The anwser is 6.01176470588

Hello!

75,000 - 10% of 75,000

= 75,000 -(10*75,000)/100

=  75,000 -7,5 => 67,500

67,500 - 10% of 67,500

= 67,500- ( 10*67,500)/100

=67,500 - 6,75 = 60,750

60,750 -10%  of 60,750

= 60,750-( 10*60,750)/100

= 60,750 - 6,075 => 54,675

Answer:

9.85 × \(10^{-1}\)

Step-by-step explanation:

a number expressed in standard form is

a × \(10^{n}\)

where 1 ≤ a < 10 and n is an integer

given

\(\frac{985}{1000}\)

= 0.985

= 9.85 × \(10^{-1}\)

Answer:

C. The relationship is linear; y – 5 = 2(x + 7).

Step-by-step explanation:

The correct answer is:

The relationship is linear, and the equation is  

y-5 = 2(x+7).

Explanation:

To determine if the relationship is linear, we find the slope between each pair of points.  Slope is given by the formula:

The slope between the first two points is given by:

The slope between the second pair of points is given by:

The slope between the third pair of points is given by:

Since the slope is the same throughout the data, the relationship is linear and the slope is 2.

To write the equation, we use point-slope form, which is:

y-y₁ = m(x-x₁)

Using the first point, we have:

y-5 = 2(x--7)

y-5 = 2(x+7)

The answer is The relationship is linear; y - 5 = 2(x + 7).

Answer:

a. y= 3x

b. y= -x + 2

Step-by-step explanation:

Its the answer

Answer:

b is y=2x-1 and i dont know for a. im also stuck on it

Step-by-step explanation:

Answer:

a. y = 3x² + 9x +6

d. y = x(3x + 10)

Step-by-step explanation:

Most equations that have a squared variable are going to be nonlinear.

If you distribute the x in the d equation you get this: y = 3x² + 10x

Choices b, c, and e are going to be linear because there is only one variable, and those variables do not have exponents.

Answer:

46.3768%

Step-by-step explanation:

Or 46.38% if you round it to the nearest tenths

The percentage decrease of songs from 69 to 37 songs is 46.4%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The number of songs decreased from 69 songs to 37 songs.

Therefore, The net amount of songs that decreased is,

= (69 - 37).

= 32 songs.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (32/69)×100.

= 46.4%

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Answer:

12.955

Step-by-step explanation:

you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)

The required competition mark is given as 60, as of the given condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A competition mark is calculated by doubling the sum of the top and bottom four scores and then averaging them.
According to the question,
Competition mark = 2 [7 + 6 + 8 + 5] + [7 + 9] / 2
Competition mark = 52 + 8 = 60

Thus, the competition mark is  60.

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Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

A. a ≅ v

D. a ≅ ⊙v

E. ⊙a ≅ v

Since the symbol ⊙ represents congruency, ⊙a ≅ ⊙v implies that a is congruent to v. Therefore, the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

The complete question is :

Given , ⊙a ≅ ⊙v, what congruency statements can you make? Check all that apply.

A. a ≅ v

B. a ~ v

C. ⊙a ~ ⊙v

D. a ≅ ⊙v

E. ⊙a ≅ v

The correct answers are: A. a ≅ v, D. a ≅ ⊙v, and E. ⊙a ≅ v.

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Answer:

yes

Step-by-step explanation:

Answer:

45/4 or 11 1/4

Step-by-step explanation:

0.25 is 1/4 as a fraction so it as a mixed number is 11 1/4. Improper fraction is 45/4.

Hewo There! my name is Neko And I'll be helping you! ;-)

Answer:

11.25 as a fraction is 45/4.

Step-by-step explanation:

To convert the given decimal to a fraction, we can do the following steps.

Step 1: We rewrite the decimal as a fraction with a denominator of one.

\(11.25=\frac{11.25}{1}\)

Step 2: We multiply the numerator and denominator by 100.

\(11.25=\frac{11.25~x~100}{1~x~100}\)

\(11.25=\frac{1125}{100}\)

Step 3: We simplify the resulting fraction.

\(11.25=\frac{45~x~25}{4~x~25}\)

\(11.25=\frac{45}{4}\)

Therefore, 11.25 as a fraction is 45/4.

-Neko-

Answer:

There were 27 student tickets sold and 35 parent tickets sold.

Step-by-step explanation:

So first, we have to set up our equations!

s + p = 62 (s is the # of student tickets sold; p is the # of parent tickets sold;  62 is the total # of tickets sold)

1.75s + 3.75p = 178.50 (1.75s is the price for student tickets multiplied by the number of student tickets; 3.75p is the price for parent tickets multiplied by the number of parent tickets; 178.50 is the total amount of money)

Now! We are going to use elimination to solve for the variables, first for "s". To do this, we are going to multiply the first equation by -3.75!

     -3.75 (s + p = 62)

    -3.75s - 3.75 p = -232.50

+     1.75s + 3.75p = 178.50

        -2s = -54

          s = 27

Next! We have to solve for "p" by multiplying the first equation by -1.75!

-1.75 (s + p = 62)

    -1.75s - 1.75 p = -108.50

+     1.75s + 3.75p = 178.50

        2p = 70

          p = 35

Lastly, we know that there were 27 student tickets sold, and 35 parent tickets sold.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

113 people (112.5 if you don't round but you can't have half a person)

Step-by-step explanation:

45 men plus the number of women (x) is how many people there are

so you would do 3/x=2/45 since x is the number of women

do some basic algebra, and you get 67.5 women so round if you want to to 68 (i will round because you can't have half a person)

68+45=113 people

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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Answer:

it should be f

Step-by-step explanation:

The measure of each of the acute angles of the right triangle is 32° and 58°.

A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).

Let x = measure of one of the acute angles

If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then

measure of the other acute angle = 2x - 6

The sum of all the angles of any triangle is equal to 180°. Hence,

90° + x + 2x - 6 = 180°

Solve for the value of x.

3x = 96

x = 32

Solve for the measure of the other acute angle.

2x - 6 = 2(32) - 6 = 58

Hence, the two angles are 32° and 58°.

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Therefore, the coordinates of point P are approximately (4.444, -2.222, 4.444). This is the point on the plane 2x - y + 2z = 20 nearest to the origin.

To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and a point on the plane.

The distance between two points, (x₁, y₁, z₁) and (x₂, y₂, z₂), is given by the formula:

distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

In this case, we want to find a point (x, y, z) on the plane 2x - y + 2z = 20 that is closest to the origin (0, 0, 0).

We can set up this problem as an optimization problem by minimizing the distance function:

distance = √((x - 0)² + (y - 0)² + (z - 0)²) = √(x² + y² + z²)

subject to the constraint 2x - y + 2z = 20.

To solve this problem, we can use the method of Lagrange multipliers. We define the Lagrangian function:

L(x, y, z, λ) = x² + y² + z² + λ(2x - y + 2z - 20)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we can solve for x, y, z, and λ. However, this process is quite lengthy and involves solving a system of equations.

Alternatively, we can use geometric intuition to find the point on the plane nearest to the origin. The normal vector to the plane is given by the coefficients of x, y, and z, which is (2, -1, 2). This vector is perpendicular to the plane.

The point on the plane closest to the origin will be the one that lies on the line perpendicular to the plane and passes through the origin. Let's call this point P.

The direction vector of the line passing through the origin and perpendicular to the plane is the same as the normal vector, (2, -1, 2). Therefore, the coordinates of point P can be expressed as (2t, -t, 2t), where t is a scalar parameter.

Substituting these coordinates into the equation of the plane, we get:

2(2t) - (-t) + 2(2t) = 20

4t + t + 4t = 20

9t = 20

t ≈ 2.222

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Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

In what direction should the plane head to end up going due east?

Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

From the diagram, we can deduce that the y component of the wind is \(\frac{50}{\sqrt{2} }\).

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Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

The combined resistance, R, of two resistors with resistances r and s connected in parallel can be calculated using the equation:
\(1/R = 1/r + 1/s\)
When an electric current passes through these resistors, the combined resistance depends on the values of r and s. To analyze the behavior of R with respect to r, we can rewrite the equation as:
\(R = (rs)/(r + s)\)
R is a function of r and s, and its behavior depends on the values of r and s. If r and s are positive, the function is neither increasing nor decreasing globally, as it depends on both r and s values. However, for specific values of r and s, the function can be either increasing or decreasing locally.
There is no global maximum or minimum for this function because it depends on the specific values of r and s, and it can take any positive value depending on these resistances. So, the answer is none for global maximum or minimum.
In summary, the behavior of the combined resistance R when an electric current passes through two resistors connected in parallel depends on the values of r and s. It is neither globally increasing nor decreasing and has no global maximum or minimum.

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Answer:

dfffdfsfsfsf

Step-by-step explanation:

Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

The effective interest rate is determined by the formula;

\(= \left(1+\dfrac{r}{t} \right )^t\)

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

\(= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824\)

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

Then,

\(= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537\)

Therefore,

Loan V has a higher effective rate by,

\(=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%\)

Hence, Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

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Answer:

2x + 1y =< 300

x + y =>150 units

y <= 2x

Step-by-step explanation:

Let x and y be the numbers of corndogs and shakes that will be sold.

1.  The total cost of making these items is given by the sum of:

(x)(RM2) + (y)(RM1)

A total of RM300 is allocated for the cost of these items, so:

2x + 1y =< 300   [Units are RM)

2. Sales are expected to exceed 150 units, in total.  This means:

x + y =>150 units

3.  Sales for the shakes is less than 2 times that of the corndogs:

y <= 2x

The coordinates of dilated triangle A' B'C' is A'(-12, 9), B'(9, 9) and C'(6, -3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the increase or decrease in size of a figure by a factor k. If point A(x, y) is dilated by factor k, the new point is at A'(kx, ky).

ABC is located at points A(-4,3),B(3,3)and C(2,-1). If it is dilated by a factor of 3, the new points is at:

A'(-12, 9), B'(9, 9) and C'(6, -3).

The coordinates of dilated triangle A' B'C' is A'(-12, 9), B'(9, 9) and C'(6, -3).

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