What is the least common multiple of six and eight?

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer: Interval, Ratio, ordinal

Step-by-step explanation:

Quantitative data refers to data with numerical variables and have numerical meaning for which mathematical inferences can be made. The interval scale is used are used only for quantitative variables. They provide an fixed and ordered arrangement on their scale and also provide useful and reasonable differences in values.

The ratio scale is another quantitative scale which is very similar to the interval scale, providing meaningful difference between the values. The ratio scale gives a true zero (zero here means none) value which is different from interval whose zero value does not mean real zero.

The ordinal scale can be applied to both Qualitative and quantitative variables, the scale gives a rank and ordered meaning to measurement. However, the numbers or scale values cannot be used for mathematical computation as they'll provide no useful meaning.

Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11

Step-by-step explanation: your welcome. :)

Answer:

-11

Step-by-step explanation:

g(a) = 4a -3

g(-2)= 4(-2)-3

g(-2)= -8-3

g(-2)= -11

Answer:

Rs 45,000

Step-by-step explanation:

The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.

Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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Answer:

(19-3)*5 = 80

Step-by-step explanation:

(19-3)*5 = 80

Parentheses first

16*5 = 80

80

Answer: (19 - 3) * 5 = 80

Check to see if this is right.

(19 - 3) * 5 = 80

16 * 5 = 80

80 = 80

Best of Luck!

only C) The diagonals bisect each other, and E) The diagonals are perpendicular are the two conditions that prove that a quadrilateral is a rectangle.

What is the quadrilateral?

A quadrilateral is a four-sided polygon, which means it has four straight edges and four angles. Quadrilaterals can come in many different shapes and sizes and can be classified based on their properties. Some common examples of quadrilaterals include squares, rectangles, parallelograms, rhombi, and trapezoids.

A quadrilateral is a rectangle if it satisfies the following conditions:

C) The diagonals bisect each other.

E) The diagonals are perpendicular.

A) Both pairs of opposite sides are congruent, is not a necessary condition for a quadrilateral to be a rectangle, as a rectangle can have different side lengths.

B) One pair of opposite sides is longer than the other pair of sides, is not a necessary condition for a quadrilateral to be a rectangle, as a rectangle can have equal side lengths.

D) The diagonals are congruent, is not a necessary condition for a quadrilateral to be a rectangle, as a rectangle can have diagonals of different lengths.

So, only C) The diagonals bisect each other, and E) The diagonals are perpendicular are the two conditions that prove that a quadrilateral is a rectangle.

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Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

Answer:

Step-by-step explanation:

assume the equation is (7x-4)/y=10

10y= 7x-4 didvide both sides by 10

y= (7/10)*x - (2/5)

m=7/10

b=-2/5

The equation for 7x - 4/y =10 in the form y = mx + b . The equation in the form

\(\(y = mx + b\) is: \[y = \frac{4}{7x - 10}\]\)

To rewrite the equation in the form  we need to  \(\(y = mx + b\),\)  isolate the term involving y on one side of the equation. Here's the step-by-step process:

Step 1: Add  \(\(\frac{4}{y}\)\)  to both sides of the equation to isolate the 7x term on the left side:

\(\[7x = 10 + \frac{4}{y}\]\)

Step 2: Get rid of the fraction by multiplying both sides of the equation by y:

\(\[7xy = 10y + 4\]\)

Step 3: Now, we want to express  y alone on one side. To do this, subtract 10y  from both sides:

\(\[7xy = 10y + 4\]\)

Step 4: Factor out y on the left side:

\(\[y(7x - 10) = 4\]\)

Step 5: Finally, divide both sides by to solve for  \(\((7x - 10)\)\)

\(\[y = \frac{4}{7x - 10}\]\)

Now, the equation is in the form where \(\(y = mx + b\), \(m\)\) is the coefficient of x and b is the constant term. In this case,\(\(m = \frac{4}{7x - 10}\) and \(b\)\)  is equal to 0.

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To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

116

Step-by-step explanation:

we do pemdas so start with parenthesis

6+4=10

10 squared =100

then we divide before adding so

10/2 = 5+11= 16

100+16= 116

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer: 742.68

Step-by-step explanation:

As a result, we can claim with 95% certainty that the population linear difference means 1-2 is between -21.48 and -2.52 units of small appliances.

In algebra, a linear equation has the form y=mx+b. The slope is denoted by B, while the y-intercept is denoted by m. Because y and x are variables, the preceding sentence is sometimes referred to as a "linear equation with two variables." Bivariate linear equations are two-variable linear equations. Linear equations may be found in various places: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the form y=mx+b, where m represents the slope and b represents the y-intercept, it is said to be linear. A linear equation is one that contains the formula y=mx+b, with m signifying the slope and b denoting the y-intercept.

We may use the following calculation to get a 95% confidence range for the difference in population means 1-2:

\((x1 - x2) t(\alpha/2, df) * \sqrt(s12/n1 + s22/n2)\)

where:

Initially, we must compute the degrees of freedom:

\(df = ((s12/n1) + s22/n2)2/((s12/n1) + (s22/n2)2/(n2-1))\\df = ((13^2/36 + 16^2/49)^2) / ((13^2/36)^2/35 + (16^2/49)^2/48) = 67.94\\(78 - 90) 2.00 * \sqrt(132/36 + 162/49)\\CI = -12 +2.00 * 4.742\\CI = -12+ 9.484\\CI = (-21.48, -2.52) (-21.48, -2.52)\)

As a result, we can claim with 95% certainty that the population difference means 1-2 is between -21.48 and -2.52 units of small appliances.

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The total volume of the figures 420 cubic cm and 444 cubic in

The complete question is added as an attachment

Figure (a)

Here, the volume can be calculated using

Volume = Length * Width * Height

Substitute the known values in the above equation, so, we have the following representation

Volume = 14 * 3 * (5 + 5)

Volume = 420 cubic cm

Strategy: Combine the two heights to give 10 cm, then calculate using volume formula

Figure (b)

Here, the volume can be calculated using

Volume = Volume of Shape A + Shape B

Substitute the known values in the above equation, so, we have the following representation

Volume = 7 * 4 * 3 + 15 * 4 * 6

Volume = 444 cubic in

Strategy: Calculate the volume of the individual shapes and then add the volumes

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Answer:

m ≥ 4

Step-by-step explanation:

8m ≥32

m ≥ 4 where m is the number of days needed to make the cakes so it needs 4 or more days to make 32 cakes

ANSWER i think its c Step-by-step explanation:

Answer:

The C=intercept of the regression line

Step-by-step explanation:

The slope of the regression line has a logical interpretation as the average rate of change in collar size for a 1cm increase in height.

A linear regression is represented as \(^\wedge y = mx + c\)

The option that has no logical interpretation is: E The c-intercept of the regression line

From the question, we have:

\(^\wedge c = 94 + 0.9h\)

Using the above representation of a regression line \(\wedge y = mx + c\)

\(m \to\) the slope

\(c \to\) the y-intercept

By comparing \(\wedge y = mx + c\) to  \(^\wedge c = 94 + 0.9h\)

\(0.9 \to\) slope

\(94 \to\) the y-intercept

While \(^ \wedge c\) and \(h\) are the variables (i.e. collar size and height)

From the list of given options (see attachment), the option that has no logical interpretation is:

E. The c-intercept of the regression line

This is because c does not represent the intercept of \(^\wedge c = 94 + 0.9h\)

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Answer:

A) Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition

Let A, B and C  be any three real numbers

A+(B+C) = (A+B) + C

Given data

(20.4 + 3.75) + 4.25 =  20.4 + (3.75 + 4.25)

                                 =  20.4 + 8.0

                                =  28.4

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

To solve a system of equations by graphing

3x + 5y = 14

6x - 4y = 9​

Therefore the solution of the system of equations are

x = 2.405 and y = 1.357

Answer:

approx. 3.6667 miles per minute

Step-by-step explanation:

1 hour = 60 minutes

1 hour or 60 minutes => 220 miles

1 minutes => 220 / 60 miles

Answer: where is the answer choices

Step-by-step explanation:

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

The answer is "Choice A".

Step-by-step explanation:

\(\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10\)

In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.