SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C

Answer:The equation 8.9+(6.4 +7.2) is correctly applying the Associative Property of Addition.

Step-by-step explanation:

The Associative Property of Addition states that when adding three or more numbers, the order in which the numbers are added does not affect the sum.

The height of the electric pole is 12 m

When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,

base = 5

length of the wire from the top of the pole to the ground is 13 m

Height of the plant can be calculated by pythagoras theorem

h² = p² + b²

13² = p² + 5²

p² = 169 - 25

p = √144

p = 12m

Therefore, the height of the electric pole is 12 m

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The equations y=3+2 and y=2x+1 both will meet at x=3

Acc to our question-

Hence,The lines y=3x−2 and y=2x+1 both will intersect at x=3

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Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

Given that,

Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.

We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.

Let us take the skee balls as x and the pin ball as y.

We get,

9x+10y=58---> equation (1)

5x+4y=26---> equation (2)

Multiply equation (1) with 5 and equation (2) with 9.

5(9x+10y=58)⇒45x+50y=290

9(5x+4y=26)⇒45x+36y=234

                     ------------------------          (subtracting those equation)

                       0+14y=56

14y=56

y=56/14

y=4

Substitute y=4 in equation(2)

5x+4y=26

5x+4(4)=26

5x+16=26

5x=26-16

5x=10

x=10/5

x=2

Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

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The equation of the line perpendicular to - 4x + 3y = 12 and containing the point (6,8) is 3x + 4y = 50.

What is a perpendicular line?

Perpendicular lines: A perpendicular line is a straight line that has been put up so that it forms a right angle with another line. The two lines are parallel to one another.

Here,

The slope of ax + by = c is given by m = -a/b

m = -(-4)/3 = 4/3

m = 4/3 for this line.  

A perpendicular line will have a slope -1/m = -3/4

The line through (6, 8) with slope -3/4

y = (-3/4)x + b

8 = (-3/4)(6) + b

b = 8 + 9/2 = 25/2

y = (-3/4)x + 25/2

4y = -3x + 50

3x + 4y = 50

Hence, the equation of the line perpendicular to -4x+3y=12 and containing the point (6,8) is 3x+4y = 50.

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Answer:

Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.

In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.

When Piece A's height is 49 cm then the Piece B's height will be 52 cm.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.

To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.

From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.

To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.

So 10.5 months after Month 3 is Month 13.5.

In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:

Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)

= 31 cm + 2 cm/month × 10.5 months

= 52 cm

Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.

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3√2x is the simplified form of the given expression by rationalizing the denominator.

In the form p q, where p and q are integers and q0, rational numbers can be expressed. The distinction between fractions and rational numbers is that the numerator or denominator of a fraction cannot be negative.

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are split into a whole. It is a fraction's divisor.

A common factor is a whole number that is a factor of at least two other numbers. The greatest common factor is the biggest factor that may be divided into two or more integers (HCF). The phrase "lowest common multiple" refers to the smallest multiple that two or more numbers have in common (LCM).

Make the denominator simpler.

12/2√2x

Reject the 12/2 common factor.

6/√2x

Multiply the numerator and denominator by √2x

(6√2x⋅√2x/√2x)

Combine and make the denominator simpler.

6√2x/2x

= 3√2x

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Answer:

Step-by-step explanation:

The average length of two raven eggs is about 0.1 m.

Since the average length of a robin egg is about 0.02 m, 5 eggs laid end to end would measure about 0.1 m.

Step-by-step explanation:

To find the Area of a Trapezium, we use 1/2(a+b)*h

where a=2.8 and b=4.4, Height=3.5

1/2(2.8+4.4) *3.5

1/2(7.2)*3.5

3.6*3.5

12.6cm2

Answer:

Step-by-step explanation:

Area of a trapezium = 1/2(a + b) x h

1/2 (2.8 + 4.4) x 3.5

1/2 x 7.2 x 3.5

12.6

Answer:

2

Step-by-step explanation:

y² = 4²= 16 (in substitution way)

16÷8= 2

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Answer:

2

Step-by-step explanation:

y^2/8

4^2/8

16/8

2

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The ordered pairs that are a solution to the given linear equation -5x + 3y > 12 are:

In order to determine which ordered pairs are true solutions based on the given linear equation, we would have to test each of the ordered pairs by substituting their values into the linear equation as follows;

For ordered pair (3, 9), we have:

-5x + 3y > 12

-5(3) + 3(9) > 12

-15 + 27 > 12

12 > 12 (False).

For ordered pair (-5, 5), we have:

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True).

For ordered pair (3, -6), we have:

-5x + 3y > 12

-5(3) + 3(-6) > 12

-15 - 18 > 12

-33 > 12 (False).

For ordered pair (-2, -5), we have:

-5x + 3y > 12

-5(-2) + 3(-5) > 12

10 - 15 > 12

-5 > 12 (False).

For ordered pair (2, 8), we have:

-5x + 3y > 12

-5(2) + 3(8) > 12

-10 + 24 > 12

14 > 12 (True).

For ordered pair (-6, 0), we have:

-5x + 3y > 12

-5(-6) + 3(0) > 12

30 + 0 > 12

30-5 > 12 (True).

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In this problem 0.7 is the standard deviation of the contents.

It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.

Given,

A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.

In this problem 0.7 is the standard deviation of the contents.

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Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

The slope of the given line in the graph is 0.

What is slope?

 The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.

Here the given graph points are,

[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]

Using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{1-1}{4-1}[/tex]

=> slope m = 0/3

=> slope m=0.

Therefore slope of the line is 0.

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Given -

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Prove  -

How many grams of zinc does it chemical contain.

Answer

suppose that scalar multiple of the  zinc and copper be y .

As given

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Than equation is

13y = 546

13y = 546

y = 42

Zinc contain in the certain chemical = 4y

                                             = 4 42

                                             = 168 grams

Therefore 168 grams of zinc contain in a certain chemical .

Answer:

Step-by-step explanation:

To find Mr.Santos's age subtract morgan's age from their combined age

44-15=29

Therefore Mr. Santos age is 29 years

Hope that helps

The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

Given that, last week, Lora used 840 minutes. This week, Lora used 504 screen time minutes on the phone.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now,

Difference=840-504

= 336

Percentage decrease = Difference in value/Original value ×100

= 336/840 ×100

= 0.4 ×100

= 40%

The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

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The time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

The formula for calculating the simple interest is-

SI = PRT/100

In which,

Put in formula.

205 = 5,500×11×T/200

T = 205×200 /  5,500×11

T = 0.67 years

T = 8.13 months = 253 days.

Thus, the time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

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Answer:

18X^2 + 18XY + 12YX + 12Y^2

Step-by-step explanation:

you have to moltiplicate the first term with the other two and the same thing for the second term of the first moltiplication

Step-by-step explanation:

what is the question you need an answer for ?

I assume you only need the result of the multiplication of both terms.

remember, when multiplying summary terms, we need to multiply every part of one term with every part of the other term.

(3x + 2y)(6x + 6y) = 18x² + 18xy + 12xy + 12y² =

= 18x² + 30xy + 12y²

The coordinates of the image of the point (-7, 5) are (7, -5).

We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.

Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.

X = x*cosθ - y*sinθ

X = (-7)*cos(180°) - (5)*sin(180°)

X = (-7)*(-1) - (5)*(0)

X = 7

Y = x*sinθ + y*cosθ

Y = (-7)*sin(180°) + (5)*cos(180°)

Y = (-7)*(0) + (5)*(-1)

Y = -5

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A graph of the given equation (x - y = 6) is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would rewrite the given equation in standard form as follows:

x - y = 6

Adding y to both sides of the equation, we have the following:

x - y + y = 6 + y

x = 6 + y

Rearranging the equation, we have the following:

y = x - 6

By critically observing the graph (see attachment), the y-intercept is equal to -6 and the x-intercept is equal to 6.

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By algebra properties, the resulting expression of the power 2⁴⁰ is (2⁸)⁵.

In this problem we must rewrite a power expression in terms of the power 2⁸, which is the base of the resulting expression. This can be done by applying algebra properties:

Step 1 - Write the original expression presented in the statement.

2⁴⁰

Step 2 - By definition of multiplication between real numbers.

2⁽⁸⁾⁽⁵⁾

Step 3 - By the definition of the power of a power.

(2⁸)⁵

The resulting expression is (2⁸)⁵.

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Answer:A is 7 B is -1 C is -9 D is -13

Step-by-step explanation: I hoped i  have helped u! Have a wonderful day!

The statement that best describes the relationship that is displayed by the scatter plot is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

A scatter plot is used to show the relationship between two variables that are different, whereby the trendline formed by each data point determines whether the relationship between the two variables is negative or positive.

If the trendline slopes upwards, it is positive, if it slopes downwards, it is negative.

If it is negative, it means as one variable increases, the other one decreases. On the other hand, if it is positive, it implies that as one variable increases, the other variables decreases.

The scatter plot given shows that the relationship between the distance of the attempt and success rate is negative. This implies that, as the distance of the attempt increases, the success rate decreases.

Therefore, the accurate description is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

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Answer:

D. as the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

Step-by-step explanation:

Answer:

z = 52°

Step-by-step explanation:

Formula we use,

→ A + B + C = 180°

Then the value of z will be,

→ 81° + 47 ° + z = 180°

→ 128° + z = 180°

→ z = 180° - 128°

→ [ z = 52° ]

Hence, the value of z is 52°.

The two triangles are congruent and they are congruent by ASA.

Triangles are congruent when they have exactly the same three sides and exactly the same three angles. This simply implies the corresponding sides and angles of the triangles are congruent.

Let's check if the triangles are congruent.

One of the congruent angles in the triangles are vertically opposite angle.

Recall vertically opposite angles are congruent.

In these two triangles, we have a congruent angle pair and a congruent side pair.

Therefore, we can say the triangles are congruent by ASA.

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The fraction that is equivalent to the fraction expression given as 5/8 is 40/64

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

Fraction = 5/8

The above expression is a fraction and at the same time it is a rational number

The denominator of the fraction is 8

So, we start by rationalizing the expression by the fraction

This is represented as

5/8 = 5/8 * 8/8

Evaluate the products of the numerator

So, we have the following representation

5/8 = 40/8 * 1/8

Evaluate the products of the denominator

So, we have the following representation

5/8 = 40/64

The above expression cannot be further simplified

Hence, the equivalent expression of the fraction is 40/64

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Possible question

Which of the following is equal to the fraction below? (5/8)

40/64

0.556

2/5

The probability of the experiment is = 0.375, 0.665.

acc  to our question-

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