A proportional relationship is shown in the table below:
x:
0
1.3
2.6
3.9
5.2
y:
0
1
2
3
4.
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

<95141404393>

Answer:

D

Step-by-step explanation:

4x(2x-3)

multiply everything in parentheses by 4x

8x^2-12x

Answer:

  3.  7632

  4.  485

Step-by-step explanation:

3. The only prime digit greater than 6 is 7, so that is the thousands digit. The only even prime is 2, so that is the ones digit.

In order for the number ending in 2 to be divisible by 4, the tens digit must be odd. The only odd numbers that have a double that is an even digit are 1 and 3. Since all digits must be different, the hundreds digit cannot be 2×1 = 2, but must be 2×3 = 6.

The number is 7632.

__

4. In order for an odd number to be divisible by 5, its ones digit must be 5, not 0. Then the tens digit is 5+3 = 8, and the sum of these two digits is 5+8 = 13. To make the total of digits equal to 17, the hundreds digit must be 17-13 = 4.

The number is 485.

Answer:

10%

Step-by-step explanation:

10% of the Male students have blonde hair

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

The figures are congruent by the transformation rule: Rotation and Reflection that is option B.

In mathematics, a transformation refers to a function that maps elements from one set to another set. The term is commonly used to describe a change in the position, shape, or size of a geometric figure, often in the context of coordinate geometry or linear algebra. In coordinate geometry, a transformation can be thought of as a change in the position or orientation of a figure on the coordinate plane. For example, a translation is a transformation that shifts a figure a certain distance horizontally and/or vertically, while a rotation is a transformation that turns a figure by a certain angle around a given point.

To know more about transformation,

https://brainly.com/question/29641135

#SPJ1

Logan will pay $18.02 more if he buys the wooden stacking toy instead of the plastic stacking toy.

The cost of the plastic stacking toy is 1/3 the cost of the wooden stacking toy:

Cost of plastic toy = (1/3) x $25.50 = $8.50

If Logan buys the wooden toy, he will pay:

Cost of wooden toy = $25.50

To find the amount of sales tax on either toy, we can multiply the cost of the toy by the tax rate of 6%:

Sales tax = 6% x cost of toy

Sales tax on the wooden toy = 6% x $25.50 = $1.53

Sales tax on the plastic toy = 6% x $8.50 = $0.51

If Logan buys the wooden toy, he will pay an extra:

Total cost difference = Cost of wooden toy - Cost of plastic toy + Sales tax on wooden toy - Sales tax on plastic toy

Total cost difference = ($25.50 - $8.50) + ($1.53 - $0.51)

Total cost difference = $17 + $1.02

Total cost difference = $18.02

To learn more about toy here:

https://brainly.com/question/13338775

#SPJ1

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ1

The height of the cone in figure 2 is 4.5 centimeters.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:

h/3 = 12/8

h = 4.5 cm

The height of the cone in figure 2 is 4.5 centimeters.

Find out more on Similar figure at: https://brainly.com/question/4014697

Answer:

4.5

Step-by-step explanation:

The sequence of transformations that show figure A and figure B are congruent is: Translate figure A 4 units right and then reflect the image across the x-axis.

Translation refers to a type of transformation that involve a straight line movement.

Movements as seen in translation includes

The left and right movements are on the horizontal direction controlled by the x coordinate.

The object moved 4 units right then reflected over the x axis to have the mirror image below the x axis

Learn more on translation:

https://brainly.com/question/29321966

#SPJ1

Answer:

Rise = 0

Run = 4

Slope = 0

Step-by-step explanation:

Slope of straight line = \(\frac{\text{Rise}}{\text{Run}}\)

Since, given line is passing through two points (-2, -3) and (2, -3),

Rise of the line = -3 - (-3) = 0

Run of the given line = 2 - (-2) = 4

By substituting these values of rise and run in the formula,

Slope = \(\frac{0}{4}\)

          = 0

Therefore, Rise = 0

                  Run = 4

                 Slope = 0

Note:  Slope of a line parallel to the x-axis is zero.

           Slope of a line parallel to y-axis is not defined.

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

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

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

Read more about expression at

brainly.com/question/15775046

#SPJ1

We can respond to that by addressing the problem at hand As a equation  result, Felicia's equation has a slope of B and a y-intercept of 0, whereas Bruce's equation has a slope of A and a y-intercept of 0.

A math equation is a procedure that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the calculation 3x + 5 = 14, the equal sign places a space between the values 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The logo and the specifically software are frequently the same. as in, 2x - 4 Equals 2, for instance.

Let A represent the area that each tile covers. Following that, the area that Bruce covered, y, in terms of the quantity of tiles he employed, x, is given by:

y = Ax

Similarly, Felicia covered the space, y, by using the following number of tiles, x:

y = Bx

B is the area that each tile utilised by Felicia covers.

d) The equations are as follows when written in slope-intercept form:

For Bruce, y = Ax + 0.

For Felicia, y = Bx + 0.

As a result, Felicia's equation has a slope of B and a y-intercept of 0, whereas Bruce's equation has a slope of A and a y-intercept of 0.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

(1) exponent, (2) base

Step-by-step explanation:

An exponent is a quantity that represents the power to which a given number is to be raised.

A base can be any whole number greater than 0.

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

To know more about isosceles, visit:

https://brainly.com/question/9872652

#SPJ1

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ9

The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)

To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.

The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:

A = length x width = 5 cm x 2 cm = 10 cm²

The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.

Therefore, the volume of the prism is:

V = A x h = 10 cm² x 5/4 cm = 12.5 cm³

The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.

For such more questions on volume

https://brainly.com/question/1972490

#SPJ8

Answer:

X=58

Y=32

Step-by-step explanation:

Right angle is 90°

90-58=32

The one thats 58° is opposite on x so they are th same what means y is 32°

Answer:

4 a

Step-by-step explanation:

trust

U7 L1 Exploring Periodic Data: Multiple Choice:

1. Use the given graph. Determine the period of the function. (1 point)

2. Determine whether the function is periodic. If it is, find the period. (1 point)

3. Determine whether the function is periodic. If it is, find the period. (1 point)

4. Find the period and the amplitude of the periodic function. (1 point)

5. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)

I just took the test, 5/5 (100%)

Answer:

O C. O

Step-by-step explanation:

The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ1

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Solution:

Given:

To know the expressions that are equal to the one given, we use the following properties.

1) Commutative property of addition: The commutative property of addition says that changing the order of addends does not change the sum. This means we can add in any order.

Hence,

Also,

2) Commutative property of multiplication: Commutative property of multiplication says changing the order of factors does not change the product. This means we can multiply in any order.

Hence,

Therefore, option C is correct.

3) Distributive property of multiplication: The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

Hence,

Thus,

Therefore, option D is also correct

Hence, options C and D are equal to the expression 6.(9+2)

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

==============================================

Explanation:

Refer to the figure below.

The cone has a circle at the base which has a diameter of 8 cm. This cuts in half to 4 cm, and that's the radius. This forms the horizontal leg of the right triangle highlighted in red.

The vertical leg of the triangle is the height of the cone (9 cm).

---------

Use the pythagorean theorem to find the hypotenuse of the triangle, which is exactly the slant height.

a^2 + b^2 = c^2

4^2 + 9^2 = c^2

16 + 81 = c^2

97 = c^2

c^2 = 97

c = sqrt(97)

c = 9.84886

When rounding to one decimal place, we get 9.8 cm which is the final answer.

Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

Learn more about Future Value here:

https://brainly.com/question/14860893

#SPJ1