The ribbon on a spool is 13 yards long. How many 4 inch pieces of ribbon can be cut from the spool?

Answer:

39

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7(x + 3) = 2x + 1 ← distribute parenthesis on left side by 7

7x + 21 = 2x + 1 ( subtract 2x from both sides )

5x + 21 = 1 ( subtract 21 from both sides )

5x = - 20 ( divide both sides by 5 )

x = - 4

Answer:

x=-4

Step-by-step explanation:

7(x+3)=2x+1

distribute 7

7x+21=2x+1

subtract 1 from both sides

7x+20=2x

subtract 7x from both sides

20=-5x

divide both sides by -5

x=-4

On solving the provided question we got to say that - 500 meters long, and 250 meter wide

Differentiation is the rate at which a function changes with regard to a variable in mathematics (in mathematics, the rate of change of a function with respect to a variable). Problems involving calculus and differential equations need the use of derivatives.

125000 square meters  of area = l X w is =  length times width

\(l=125000/w\)

Fencing =\(Perimeter = P = L+2W= 125000/W +2W\)

Now,

derivative set = 0

P'(X) =  2 -125000/W^2 = 0

           \(2W^2 = 125000\\ W^2 = 62500\\ W = 250meters wide\)

          \(L =125000/250= 500 meters long, the side parallel to the river\)

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Answer:

6

Step-by-step explanation:

4- -2

Answer:

6

Step-by-step explanation:

Answer:

-10p

Step-by-step explanation:

-4 - 6 = -10

-10

Step-by-step explanation:

combine like terms to create an equivalent

Answer:

I think we put the brackets here

4+(9×6)-4=22

Answer:

4+9 (6-4) = 22

Step-by-step explanation:

you subtract the numbers inside the brackets (6-4=2) and solve the problem.

4+9x2=22

4+18=22

i hope i helped you!

The correct answer is option C, when the distribution of the data is approximately symmetric and bell-shaped.

According to the Empirical Rule, also referred to as the 68-95-99.7 Rule, for a normal distribution, roughly 68% of the data will lie within one standard deviation of the mean, 95% of the data will lie within two standard deviations of the mean, and 99.7% of the data will lie within three standard deviations of the mean.

Only when the distribution of the data is symmetric and bell-shaped does this rule hold.

The Empirical Rule cannot be used to estimate percentages if the data is skewed to the left or right.

The Empirical Rule can be used to predict the population from which the data were taken, making it a useful tool when examining data with a normal distribution.

It's crucial to remember that this rule is merely an estimation and may not be correct depending on whether the data follows a normal distribution.

Complete Question:

The empirical rule can be used to estimate some specific percentages _______.

Select one:

A. when the distribution of the data is skewed to the right.

B . when the distribution of the data is skewed to the left.

C. when the distribution of the data is approximately symmetric and bell-shaped.

D. when the distribution of the data has any shape.

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Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer:

1. -13 degrees

2. $12

3. 6 yards

4. 15 points

Step-by-step explanation:

1. -5 - 8 = -13

2. $100 - $88 = $12

3. 13 - 7 = 6

4. 10 x 2 = 20 - 5 = 15

ANSWER:

this the answer it's d

Given statement 'a local variable is a variable defined inside a function that can only be used inside its function' is False

A local variable is a type of variable that we declare inside a block or a function, unlike the global variable. They can be used only by the statements that are inside the function or the block of the code. Local variables are not known to functions outside their own.

The variable declared is local within that function that is the declared variable is accessible inside that block itself, it cannot be accessible outside the given function.

Consider the following multiplication function:

ex - void multi()

{

int a = 10,  b = 2, c ;

c = a * b ;

cout << c ;

}

int main()

{

cout << "value for c is :"<< c ;

return 0;

}

Here inside the multi function variable a, b, c are declared and initialized inside the function.

Thus, a local variable is defined inside the body of the function and is not accessible outside of the function.

Therefore, given statement 'a local variable is a variable defined inside a function that can only be used inside its function' is False

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Step-by-step explanation:

-3. 10000 sure the slope is -3

Answer:

-3

Step-by-step explanation:

Answer:

-1

11

53

Step-by-step explanation:

I plugged the x values on the table into x and solved

The statement that is true about wasting time of a flow unit is:- C. The process flow diagram shows where and why a flow unit spends time in a process.

The process flow diagram is a visual representation of the steps and activities involved in a process.

It helps identify where and why a flow unit, such as a product or service, spends time during the process.

This diagram can help identify areas of waste and inefficiency, allowing for improvements to be made to reduce waiting time and streamline the process.

Hence, option c. is correct.

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The triple integration of ∭E xy dV and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3), is 8 / 5.

What is integration?

When infinitesimal data are combined, concepts like displacement, area, and volume can be described by assigning numerical values to the functions that make up an integral. Integration is the procedure for locating integrals.

Given:

∭E xy dV  and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3),

Calculate the equation of plane passing through the vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3) as shown below,

x / 8 + y / 1 + z / 3 = 1

z = 24 - 3x -24y / 8

Put z = 0

y = 1 - 1 / 8x

Put y = o

x = 8

Calculate the integral as shown below,

\(\int \int\int_E xydV = \int _0^8 \int _0^{1-x/8} \int _0^{{24-3x-24y}/8} xy\ dz\ dy\ dx\)

∫∫∫E = \(1/8 \int _0^8 [24xy^2 / 2 - 3x^2y^2 / 2 - 24xy^3 / 3]^{1-x /8}dx\)

∫∫∫E = 1 / 8 × 64 / 5

∫∫∫E = 8 / 5

Thus, the triple integral is 8 / 5.

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The probability that a randomly chosen sophomore is taking Algebra 2, given that they do not take Chemistry, is 19/36.

To find the probability that a randomly chosen sophomore is taking Algebra 2, given that they are not taking Chemistry, we need to consider the number of students taking Algebra 2 who are not taking Chemistry.

Given that there are 318 sophomores in total, and 102 are taking Chemistry, it means that 318 - 102 = 216 sophomores are not taking Chemistry.

Out of the 140 sophomores taking Algebra 2, 26 are also taking Chemistry. Therefore, the number of sophomores taking Algebra 2 but not taking Chemistry is 140 - 26 = 114.

Since we are considering only the students who are not taking Chemistry, the total number of students in this group is 216.

The probability of a randomly chosen sophomore being in this group (taking Algebra 2 but not taking Chemistry) is given by:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 114 / 216

Simplifying the fraction, we get:

Probability = 19 / 36

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Answer:

Step-by-step explanation:

An equation contains a sign equality (=) between two expressions.

And an expression is a simple algebraic statement.

By these definitions,

          Equations                          Expressions

         x = 2x + 5                            21x - 13 + 11x

         \(\frac{1}{2}x=5+3\)                           -3.7x - 13  

         3x + 1 = -2.1                          \(\frac{1}{2}x+5\)

The y-intercept of the line is -23.

To find the y-intercept of the line, we can use the equation of the line in slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept.

From the given table, we can use any one of the points to find the y-intercept. Let's use the point (-72, 25):

y = mx + b

25 = (-2/3)(-72) + b

25 = 48 + b

b = -23

Therefore, the y-intercept of the line is -23.

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Answer:

462 pounds

Step-by-step explanation:

weighs 42 pounds

    and the water 11 times more

 so, 42*11 = 462 pounds

The angle measures, in order from least to greatest, of the dilated image  45°,55° and 80°.

A dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space.

Euclidean space, In geometry, a two- or three-dimensional space in which the axioms and postulates of Euclidean geometry apply; also, a space in any finite number of dimensions, in which points are designated by coordinates (one for each dimension) and the distance between two points is given by a distance formula.

Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.

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Answer:45,55,80

Step-by-step explanation:  dilations preserve angles measures regardless of the scale factor. Therefore the angle measures of the image will be the same of that of the pre-image ,so our answer is still 4545,5555,8080 .

Answer:

11

Step-by-step explanation:

(x - y)² = x² - 2xy + y² = x² + y² - 2xy = 15 - 2(2) = 15 - 4 = 11

Answer:

11

Step-by-step explanation:

(x-y)²=x²+y²-2(xy)

Given : x²+y²=15

           xy=2

By substituting we get ,

(x-y)²=15-2(2)

(x-y)²=15-4

(x-y)²=11

First, \(y=7x\) and when we plug in the point we get \(-8=7a\implies a=-\frac{8}{7}\).

Hope this helps :)

Equation of linear function is y = 1/3x

Slope - Intercept Form:
A linear equation when graphed is a straight line that extends to infinity in both directions. One linear equation uses the slope, m, and the y - intercepts, b, in the form y = mx + b.

In the question is given that:

Give the equation of the line

where, m = 1/3 and b = 0  

Write the Equation of linear function:

y = mx + b

Substitute the value of m and b in equation of linear function.

y = 1/3x + 0

y = 1/3x

Hence, Equation of linear function is y = 1/3x

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The product of matrices C and D is:

\(CD = \left[\begin{array}{ccc}-6&18&-4\\\end{array}\right]\)

The best answer is option b.

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

The product (multiplication) of matrices C and D is:

CD = C * D

\(CD = \left[\begin{array}{ccc}2\\9\\4\end{array}\right] * \left[\begin{array}{ccc}-3&2&-1\\\end{array}\right]\)

To get the product, multiply each row by the column. That is:

2 * (-3) = -6

9 * 2 = 18

4 * (-1) = -4

\(CD = \left[\begin{array}{ccc}-6&18&-4\\\end{array}\right]\)

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Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

The area of a regular polygon inscribed in a circle is given by A = (1/2)nr^2sin(2π/n), where n is the number of sides and r is the radius of the circle.

For a square, n = 4, so A(square) = 2r^2.

For a regular octagon, n = 8, so A(octagon) = 2(2+√2)r^2.

The ratio of the areas is:

A(octagon)/A(square) = [2(2+√2)r^2]/(2r^2) = 2+√2 ≈ 3.83

Therefore, the octagon covers approximately 283% more of the circle's area than the square.

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