The point (4, 4) is a solution to which equation?

Answer:

10/11

Step-by-step explanation:

The area of the shape that is given will be 1460 units squared.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface

The area of the shape that is given will be calculated thus:

(16 × 18) + (26 × 34 ) + (16 × 18)

= 288 + 884 + 288

= 1460

Therefore, the area of the shape that is given will be 1460 units squared.

The area or the second diagram will be:

= Area of triangle + Area or rectangle

= 1/2(4 × 6) + (7 × 6)

= 12 + 42

= 54

Learn more about area on:

brainly.com/question/2607596

#SPJ1

The probability of no one drawing their own name is 9/24 = 3/8.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

The probability that no one draws their own name in a randomized gift exchange can be found using derangements. A derangement is a permutation of a set where none of the elements are in their original position.

With three people, there are 3! = 6 possible permutations. There is only one permutation where no one draws their own name, which is a derangement. Therefore, the probability of no one drawing their own name is 1/6.

With four people, there are 4! = 24 possible permutations. There are nine derangements, which can be calculated using the formula for derangements: [tex]D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!).[/tex]

Therefore, the probability of no one drawing their own name is 9/24 = 3/8.

To learn more about probability visit:

https://brainly.com/question/13604758

#SPJ1

There are roughly 6.99 feet distance between the pole and each point in the circle.

The measurement of the space a circle encloses is its area.

Calculating it requires adding the mathematical constant pi to the square of the circle's radius (π ≈ 3.14159).

The formula for determining a circle's area is A = r².

A vertical pole in the middle of a circle-shaped flower garden signifies the garden's circular shape.

The garden is described as having a 121 ft² space.

Any point on the circle is r radians away from the pole because the pole is at its centre.

In order to calculate the radius of a circle, we can use the following formula:

A = πr²

121 = πr²

r² = 121/π

r = 6.99

To know more about distance. visit:

brainly.com/question/15256256

#SPJ1

The required HCF  and LCM are a) 5 and 840 b) 8 and  48.

a) To find the HCF of 15, 35, and 40, we can use the Euclidean algorithm:

[tex]40 = 15 \times 2 + 10[/tex]

[tex]15 = 10 \times 1 + 5[/tex]

[tex]10 = 5 \times 2 + 0[/tex]

Therefore, the HCF of 15, 35, and 40 is 5.

To find the LCM, we can use the prime factorization method:

15 = 3 × 5

35 = 5 × 7

[tex]40 = 2^3 \times 5[/tex]

The LCM is the product of the highest powers of all the prime factors, so [tex]LCM(15, 35, 40) = 2^3 \times 3 \times 5 \times 7 = 840[/tex]

Therefore, the HCF of 15, 35, and 40 is 5 and the LCM is 840.

b) To find the HCF of 16, 24, and 48, we can again use the Euclidean algorithm:

48 = 24 × 2 + 0

24 = 16 × 1 + 8

16 = 8 × 2 + 0

Therefore, the HCF of 16, 24, and 48 is 8.

To find the LCM, we can use the prime factorization method:

[tex]16 = 2^4[/tex]

[tex]24 = 2^3 \times3[/tex]

[tex]48 = 2^4 \times 3[/tex]

The LCM is the product of the highest powers of all the prime factors, so [tex]LCM(16, 24, 48) = 2^4 \times 3 = 48[/tex]

Therefore, the HCF of 16, 24, and 48 is 8 and the LCM is 48.

To know more about LCM visit;

brainly.com/question/20410677

#SPJ1

The answer of the given question based on the graph is , the graph would be scatter plot and the graph is attached below,

A scatter plot is a type of graph that displays the relationship between two numerical variables. The plot consists of a set of points, each representing an observation in the data set, with the x-coordinate corresponding to the value of one variable and the y-coordinate corresponding to the value of the other variable.

To graph this data, we can use a scatter plot. We would plot each data point as a coordinate, with the time values on the x-axis and the fluid oz. values on the y-axis.

Here's an example of how the graph could be set up:

Draw a horizontal x-axis labeled "Time" and a vertical y-axis labeled "Fluid oz." Make sure to include units (e.g. "Time (hrs)" and "Fluid oz. (oz)").

Label the tick marks on the x-axis with the time values provided: 4, 8, 12, 16, 20, and 24.

Label the tick marks on the y-axis with the fluid oz. values provided: 4, 5.5, 7, 9, 12, and 15.

Plot the data points as dots on the graph. For example, the first data point (4, 4) corresponds to a time of 4 hours and a fluid oz. value of 4 oz. Plot this point on the graph by finding the point on the x-axis labeled 4 and the point on the y-axis labeled 4, and then placing a dot at the intersection of those two points.

Repeat step 4 for all the data points, connecting them with straight lines to show the trend of the data.

The resulting graph will show how the fluid oz. value changes over time.

To know more about Coordinate visit:

https://brainly.com/question/30340300

#SPJ1

a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

Learn more about samples and populations at https://brainly.com/question/28196409.

#SPJ1

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

Answer: A function is a set of ordered pairs where each input (x-value) relates to only one output (y-value). A function may or may not be an equation. Equations are functions if they meet the definition of a function. But, there are equations that are not functions.

Step-by-step explanation:

A rectangular prism is a three-dimensional geometric shape that has six rectangular faces, with opposite faces being congruent and parallel. The shape is a rectangular prism.

The rectangular prism can be described by its length, width, and height, which are the measurements of the three dimensions that define its shape. The volume of a rectangular prism can be calculated by multiplying its length by its width by its height. The surface area of a rectangular prism can be calculated by adding up the areas of all of its six faces.

Rectangular prisms are commonly used in everyday life, such as in packaging, building construction, and furniture design.

Learn more about rectangular prism:https://brainly.com/question/21308574

#SPJ1

The median is the average of the two middle values: (334 + 448) / 2 = 391.

the third quartile is 391 lb.

What is median?

Median is a measure of central tendency that represents the middle value in a dataset when the values are arranged in order of magnitude.

To find the first and third quartile, we need to first arrange the data in ascending order:

132, 183, 191, 237, 251, 277, 279, 334, 448, 599

The median of the entire data set is the value that separates the lower 50% of the data from the upper 50% of the data. In this case, the median is the average of the two middle values:

(251 + 277) / 2 = 264

Next, we need to find the median of the lower half of the data set (also known as the first quartile). We can see that the lower half of the data set is:

132, 183, 191, 237, 251

The median of this data set is the value that separates the lower 50% of this half of the data from the upper 50% of this half of the data. In this case, the median is the average of the two middle values:

(191 + 237) / 2 = 214

So the first quartile is 214 lb.

Finally, we need to find the median of the upper half of the data set (also known as the third quartile). We can see that the upper half of the data set is:

277, 279, 334, 448, 599

The median of this data set is the value that separates the lower 50% of this half of the data from the upper 50% of this half of the data. In this case, the median is the average of the two middle values:

(334 + 448) / 2 = 391

So the third quartile is 391 lb.

To learn more about median from the given link:

brainly.com/question/28060453

#SPJ1

Answer:

The answer is x + 12, where x is less than -12.

Step-by-step explanation:

If x is less than -12, then x-(-12) would be greater than -12-(-12), which simplifies to -12+12, which equals 0.

So, x-(-12) would be greater than 0, but we don't know the exact value of x, so we cannot simplify further. The expression would be x-(-12) or x+12, where x is less than -12.

Answer:

WHO IS THE TEACHER TO THIS

Answer:

5 mm

Step-by-step explanation:

Given:

A rectangular pyramid

h (height) = 4 mm

l (side length) = 6 mm

Find: s (slant height) - ?

There is a right triangle in the middle

The bottom leg is 3 mm, because it's half the side length of the square

According to that, we can find x by using the Pythagorean theorem:

[tex] {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25[/tex]

[tex]x > 0[/tex]

[tex]x = \sqrt{25} = 5[/tex]

The answer to the quotient expression 8.6 ÷ 3 in nearest hundred is 2.87,

From the question, we have the following parameters that can be used in our computation:

8.6 ÷ 3

To divide 8.6 by 3, we can use long division:

   2.866

3 | 8.6 0 0

6

-----

2 0

1 8

-----

2 6

2 1

-----

5

The quotient is 2.866..., which we can round to the nearest hundredth as 2.87.

Therefore, the answer to 8.6 ÷ 3 in nearest hundred is 2.87,

Read more about quotient at

https://brainly.com/question/1807180

#SPJ1

Answer:

6 + 6y = -27

Step-by-step explanation:

3×2+3y2=-27

6 + 6y = -27

Hope it helps.

Answer:

6 + 6y = -27

Step-by-step explanation:

3×2+3y2=-27

6 + 6y = -27

Hope it helps.

Answer:

Question

Use the Fundamental Counting Principle to find the total number of possible outcomes.

There are

total possible outcome

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

The value of the variable x is 13

It is important to note that that supplementary angles are described as pair of angles on a straight line.

These pair of angles both sum up to give 180 degrees.

From the information given, we have that;

Angle 3 = 125

Angle 2 = 5x - 10

Substitute the angles, we get;

125 + 5x - 10 = 180

collect the like terms, we have;

5x = 180 - 115

Subtract the values

5x = 65

Make 'x' the subject of formula, we have;

x = 13

Learn about supplementary angles at: https://brainly.com/question/12919120

#SPJ1

the office manager needs 49 3/4 square inches of paper to wrap the entire box. The answer is option C: 49 and three-fourths in²

How to solve the question?

To calculate the surface area of the rectangular prism, we need to find the area of each face and add them up. The rectangular prism has six faces, which are all rectangles.

The front and back faces of the rectangular prism have the same dimensions, which are 3 1/4 inches by 2 inches.

The area of each of these faces can be calculated as:

Area of front and back faces = length x Width Area of front and back faces = 3 1/4 inches x 2 Inches

Area of front and back faces = 6 1/2 square Inches

The top and bottom faces of the rectangular prism have the same dimensions, which are 3 1/2 inches by 2 inches.

The area of each of these faces can be calculated as:Area of top and bottom faces = length x Width

Area of top and bottom faces = 3 1/2 inches x 2 Inches Area of top and bottom faces = 7 square Inch

The left and right faces of the rectangular prism have the same dimensions,

which are 3 1/4 inches by 3 1/2 inches.

The area of each of these faces can be calculated as:Area of left and right faces = length x Width

Area of left and right faces = 3 1/4 inches x 3 1/2 Inches Area of left and right faces = 11 3/8 square Inches

Now we can add up the areas of all six faces to get the total surface area of the rectangular prism:

Total surface area = 2(front and back faces) + 2(top and bottom faces) + 2(left and right faces)

Total surface area = 2(6 1/2 square inches) + 2(7 square inches) + 2(11 3/8 square inches)

Total surface area = 13 square inches + 14 square inches + 22 3/4 square Inches

Total surface area = 49 3/4 square Inches

Therefore, the office manager needs 49 3/4 square inches of paper to wrap the entire box. The answer is option C: 49 and three-fourths in2.

To know more about Area visit :-

https://brainly.com/question/25292087

#SPJ1

As a result, the triangle's m and n have measures of 2D and ab, respectively.

When three straight lines come together, a triangle is created. Every triangle has three corners and three sides. (angles).

The vertex of a triangle is the intersection of two sides.

Any one of a triangle's three sides can serve as its foundation, but most frequently it is the bottom side.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.

A polygon also includes a triangle.

Area = 1/2 ab sin<C

The area being D, thus:

D = 1/2absinC

2D = absin C

sinC = 2D/ab

C = arcsin(2D/ab)

Then, compare as follows:

m = 2D

n = ab

Therefore, as a result, the triangle's m and n have measures of 2D and ab, respectively.

Know more about triangles here:

https://brainly.com/question/17335144

#SPJ1

Answer:

If Harry tries to solve a system of equations with two variables, x and y, and he gets no solution, it means that the system of equations is inconsistent. This means that the equations do not intersect or overlap on a common solution point on the graph. In graphical terms, this would mean that the graphs of these equations are parallel or non-intersecting lines. This indicates that there is no simultaneous solution that satisfies both equations, and the system has no solution or is "empty" on the graph.

Step-by-step explanation:

The perimeter of the given triangle ABC with coordinates A(1,2) ; B(7,9) and C(7,2) using distance-formula , is 22.2 units.

What is distance-formula?

To get the separation between two points on a coordinate plane, use the distance formula. The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will evaluate the distance if the two points are on the same horizontal or vertical line. the area of polygons, the perimeter of polygons on a coordinate plane, the total of the lengths of all the sides of a polygon, and other distance measurements.

Consider two points (x , y) and (X, Y) and the distance d between them, then according to distance formula:

d=[tex]\sqrt{(X-x)^{2} + (Y-x)^{2} }[/tex]

Distance between points A(1,2) and B(7,9), AB

=[tex]\sqrt{(7-1)^{2} +(9-2)^{2} }[/tex]

=[tex]\sqrt{6^{2} +7^{2} }[/tex]

=[tex]\sqrt{36+49}[/tex]

=[tex]\sqrt{85}[/tex]

=9.219≈ 9.2 units

Distance between points B(7,9) and C(7,2), BC

=[tex]\sqrt{(7-7)^{2} +(9-2)^{2} }[/tex]

=[tex]\sqrt{0^{2} +7^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=7 units

Distance between points A(1,2) and C(7,2), CA

=[tex]\sqrt{(7-1)^{2} +(2-2)^{2} }[/tex]

=[tex]\sqrt{6^{2} +0^{2} }[/tex]

=[tex]\sqrt{36+0}[/tex]

=6 units

Perimeter of triangle= sum of all sides

                                 =AB+BC+CA

                                 =9.2+7+6

                                 =22.2 units

To know more about distance-formula, visit:

https://brainly.com/question/25841655

#SPJ1

Refer to the attachment for complete question.

Answer:

Step-by-step explanation:

To construct a confidence interval for the standard deviation of the pH of rainwater in this region, we will use the following formula:

Lower bound: sqrt((n-1)s^2 / X^2)

Upper bound: sqrt((n-1)s^2 / Y^2)

where n is the sample size, s is the sample standard deviation, and X and Y are the values of the chi-squared distribution that correspond to the lower and upper bounds of the confidence interval, respectively.

First, we need to calculate the sample size and the sample standard deviation:

n = 12

s = 0.309

Next, we need to find the values of X and Y from the chi-squared distribution. Since we want a 90% confidence interval, and there are (n-1) = 11 degrees of freedom, we can find the values of X and Y that correspond to the 5th and 95th percentiles, respectively, using a chi-squared table or a calculator:

X = 3.816

Y = 20.483

Now we can substitute these values into the formula to find the lower and upper bounds of the confidence interval:

Lower bound: sqrt((n-1)s^2 / X^2) = sqrt((11)(0.309^2) / (3.816)^2) = 0.152

Upper bound: sqrt((n-1)s^2 / Y^2) = sqrt((11)(0.309^2) / (20.483)^2) = 0.554

Therefore, we can say with 90% confidence that the standard deviation of the pH of rainwater in this region is between 0.152 and 0.554.

Interpretation: We are 90% confident that the true standard deviation of the pH of rainwater in this region falls between 0.152 and 0.554. This means that if we were to take many random samples of rainwater from this region and calculate the standard deviation for each sample, about 90% of the resulting confidence intervals would contain the true standard deviation of the population.

The revenue equation for the shop owner's daily newspaper sales is R = (175 - 0.02x)x.

A linear equation is one where the variable's maximum power is 1. An illustration of a linear equation is y = mx + b, where m denotes the line's slope and b its y-intercept. A linear equation has a straight line as its graph.

When the maximum power of the variable in an equation is 2, the equation is said to be quadratic.

The graph of a linear equation is a straight line, whereas the graph of a quadratic equation is a parabola. This is the primary distinction between linear and quadratic equations. Whereas quadratic equations can have one, two, or no actual solutions depending on the discriminant, linear equations only have one solution.

The given equation is p= 175-0.02x.

Also, we have the equation r=XP.

Now, total revenue is given as:

R = px

Substituting p in the equation we have:

R = (175 - 0.02x)x

Hence, the revenue equation for the shop owner's daily newspaper sales is R = (175 - 0.02x)x

Learn more about equation here:

https://brainly.com/question/21835898

#SPJ1

Answer:

see explanation

Step-by-step explanation:

I'm happy to get you started, but I won't give you all of the answers.

Keep the following in mind (ONLY for parallel lines cut by transversal)...

These angle pairs are Congruent (equal):

Alternate Interior - on opposite sides of transversal but between the parallel lines (figure in Start box)

Alternate Exterior - opposite sides of transversal and outside of the parallel lines (see figure in bottom row, far left)

Corresponding - looks like the same location but "slid" up or down the transversal (see top row, 2nd box)

Vertical angles - on opposite sides of X created by just 2 intersecting lines (row 3, box 1)

These angle pairs are Supplementary (add up to 180°):

Same Side Interior - on same side of transversal and between the parallel lines (like box 3 in row 3)

Same Side Exterior - same side of transversal but outside of the parallel lines (row 2, box 1)

Linear Pairs - on same side of same line, sharing a side (none in this pic)

The answer in the Start box is x=141, so go to the left.

That box is x=39, so go down.

I hope this helps!!

The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

Learn more about Equivalent ratios at

https://brainly.com/question/29250986

#SPJ1

Complete Question

What is the equivalent ratio for 4: 3