The scatter plot below represents the amount of dog food a brand recommends based on the weight of the dog.
A
B
Amount of Food per Day (cups)
6
80
no association
negative linear association
● •
20
·
•
6
6
40
60
Weight of Dog (lb)
6
•
80
Which best describes the type of association shown in the scatter plot?
100

Answer:

[tex]\huge\boxed{\sf < 2 = 122\°}[/tex]

Step-by-step explanation:

From the figure,

We know that:

So,

Add 22 to both sides

10x + 2 + 22 = 12x

10x + 24 = 12x

Subtract 10x to both sides

24 = 12x - 10x

24 = 2x

Divide 2 to both sides

12 = x

OR

Given that,

∠2 = 12x - 22

Put x = 12

∠2 = 12(12) - 22

∠2 = 144 - 22

[tex]\rule[225]{225}{2}[/tex]

Answer: 122°

Step-by-step explanation:

∠1 an ∠2 are alternate interior angles, which are angles that are inside both parentheses and are on alternate sides of the transversal. The Alternate Interior Angles Theorem states that if two lines are parallel and cut by a transversal, then the alternate interior angles formed are congruent.

Since the lines are parallel as given in the question, ∠1 and ∠2 are of equal measure. We can solve for ∠2 by first solving for x, then plugging it in ∠2's measure.

[tex]10x+2=12x-22[/tex]

[tex]-2x=-24[/tex]

[tex]x=12[/tex]

Putting x in the expression 12x-22, we get

[tex]12(12)-22\\144-22\\122[/tex]

Hence, the value of ∠2 is 122°.

Step-by-step explanation:

Let the number of stamps of John be x.

Then number of Minghua's stamps:

John's: x

Minghua's: (3/2)x

The distance between the bottom of the lighthouse and the boat is 77.6m.

The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The  distance between the top of the lighthouse and boat would be the hypotenuse. The  distance between the bottom of the lighthouse and the boat would be the base.

In order to determine the required distance, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

125²  = 98²  + b²

b² = 125²  - 98²

b = √(25²  - 98² )

b = 77.6m

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

#SPJ1

The area of the sector in radians is calculated as: B. 8π units squared.

The area of a sector where the central angle of the sector that is shaded in a circle is given in radians is calculated using the formula that is expressed as:

Area of sector = (1/2) × r²θ; where we have:

θ = the angle subtended at the center/central angle measure in radians

r = the radius of the circle

Given the following:

The shaded area is half of the circle. Its measure would be 180 degrees which when expressed in radians would be π.

Central angle measure in radians (θ) = π

Radius (r) = 4 units

Plug in the values into the area of sector formula

Area of sector = (1/2) × r²θ = (1/2) × (4²)(π)

Area of sector = (1/2) × (16)(π)

Area of sector = (1 × 16 × π)(2)

Area of sector = (16π)(2)

Area of sector = 8π units squared

In conclusion, the area of the shaded sector in the image given below is calculated as: B. 8π units squared.

Learn more about the Area of sector on:

https://brainly.com/question/22761976

#SPJ1

Use elimination

(1)×5 and (2)×4

(3)-(4)

Putting in eq(1)

x + 4y = 16 __(1)

3x + 5y = 27 __(2)

Multiply the 1st equation by 3

3x + 12y = 48 __(3)

Solving (2) and (3)

3x + 12y = 48

3x + 5y = 27

__________

(-) (-) (-)

7y = 21

So, y = 3

By, putting the value of y = 3 in equation 1

x + 4(3) = 16

x + 12 = 16

x = 16 - 12

x = 4

The value of x = 4 and y = 3

Hope it helps you any confusions you may ask!

Answer:

12ft

Step-by-step explanation:

It takes 10 minutes for each plant and she spent 1 hour in total or 60 minutes: 60/10 = 6 plants

If each of the plants is 2 feet apart and there are 6 plants: 2ft*6 = 12ft

The expression which expresses the number of square feet of wallpaper needed is 12[tex]x^{2}[/tex]-21.

Given that the length of family room is 3x, breadth be 3x , height be x and the length and breadth of door be 7 feet and 3 feet.

We are required to find the expression which shows the square feet of wallpaper needed for the walls of the family room.

Because the wallpaper is not usually used on the floor and the ceiling and on doors so we will deduct the area of ceiling , floor and door from the surface area of whole room or we will just find the area of four walls one by one and then deduct the area of door from it.

Area of four walls only=2(lh+bh)

=2(3x*x+3x*x)

=2(3[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])

=2*6[tex]x^{2}[/tex]

=12[tex]x^{2}[/tex]

Area of door=length*breadth

=3*7

=21 [tex]feet^{2}[/tex]

Required area=12[tex]x^{2}[/tex]-21.

Hence the expression which expresses the number of square feet of wallpaper needed is 12[tex]x^{2}[/tex]-21.

Learn more about expression at https://brainly.com/question/723406

#SPJ1

Service organizations are ideally suited for activity-based costing because virtually all of the costs for a service company are indirect and appear to be fixed.

Activity-based costing is a method of assigning overhead and indirect costs such as salaries and utilities to products and services.

The ABC system of cost accounting is based on activities that are considered any event, unit of work, or task with a specific goal.

Here, activity-based costing has been used in manufacturing products but can also be applied to service industries, or businesses that provide a service instead of a product.

Learn more about activity based costing on:

https://brainly.com/question/6654166

#SPJ1

If the value of the sample standard deviation increases, the confidence interval becomes wider and is denoted as option A.

This term is used in statistics and refers to the probability that a population parameter will fall between two set values.

it has a direct relationship with standard deviation in which its increase will also lead to the set of values being wider thereby making it the most appropriate choice.

Read more about Confidence interval here https://brainly.com/question/14825274

#SPJ1

The options are :

a. It becomes wider

b. It becomes more precise

c. It does not change

d. It narrows

A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C' given that the vertices of the ΔABC are A(-6, -7), B(-3, -10) and C(-5, 2) and translation rule (x, y) → (x, y-3) is applied. This can be obtained by putting coordinate values of vertices in the translation rule and then vertices of ΔA'B'C' are found.

Given that,

In ΔABC, the vertices are A(-6, -7), B(-3, -10) and C(-5, 2)

The translation rule that must be applied is ⇒ (x, y) → (x, y-3)

By applying the translation rule to each of the vertices of ΔABC we get,

That is,

These new coordinates are the vertices of  ΔA'B'C'.

Hence A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C'.

Learn more about translation rule:

brainly.com/question/14285644

#SPJ1

The statement 6.05 can be read as "six and five-hundredths" is true and 11.8 can be read as "eleven and eight tens" is false

6.05

6 = ones

0 = tenths

5 = Hundredth

6.05 = six and five-hundredths

11.8

1 = Tens

1 = Ones

8 = tenths

11.8 = eleven and eight tenths

Learn more about decimal number:

https://brainly.com/question/1827193

#SPJ1

Answer:

0

Step-by-step explanation:

The y values are the same so this line is a straight line with a slop of 0

To check:

To find the slope we use y1-y2/x1-x2

Plug in the numbers: 4-4/-9-7 = 0/-16 = 0

Answer:

[tex] {3}^{x} [/tex]

Step-by-step explanation:

[tex] {x}^{3} = 8[/tex]

[tex] {3}^{x} = 9[/tex]

The new loan amount is $113,797

What is compound interest?

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

We can find new loan amount as shown below:

Total amount of loan=4*6,970+4*11,320

=27,880+45,280

=$73,160

Now, we will find new loan amount using compound interest formula.

Amount=[tex]P(1+\frac{r}{n})^{nt}[/tex]

P=$73,160

n=12

t=1 year

r=4.5%=0.045

Putting in formula

Amount[tex]=73,160(1+\frac{0.045}{12})^{12}[/tex]

=$113,797.039

Rounding to nearest dollar

=$ 113,797

Hence, new loan amount after one-year grace period is $113.797.

Learn more about Compound Interest here:

https://brainly.com/question/18483293

#SPJ4

Answer:

sin-1 (24/25).

Step-by-step explanation:

We are given the opposite side  to the given angle (24 ft) and the hypotenuse (25 ft) .

sin = opposite / hypotenuse

- so it is  sin-1 (24/25).

Answer:

e) B. 45°

f) A. 30°

Step-by-step explanation:

e) sec theta = 1/ cos theta

the value of cos theta is 1/√2 at 45°

so , sec 45° = √2 and theta = 45°

f) cot theta = 1/ tan theta

the value of tan theta is 1/ √3 at 30°

so, cot 30° = √3 , theta = 30°

The answers are :

e) B

f) A

For part (e), convert into terms of cosθ.

For part (f), convert into terms of tanθ.

The value of the piecewise function at the domain is f(-1) = 1

The complete question is added as an attachment

At x = -1, the function is

f(x) = x^2

So, we have:

f(-1) = (-1)^2

Evaluate

f(-1) = 1

Hence, the value of the piecewise function at the domain is f(-1) = 1

Read more about piecewise function at:

https://brainly.com/question/18859540

#SPJ1

The a28th term of a arithmetic sequence is -242.

According to the statement

We have given that :

a1 = 1 and d = -9. And by use of it we have to find the value of the a28th term in the arithmetic sequence.

So, arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is

an = a1 +(n-1)d

here put the values in it

an = a28 , n = 28, d =-9, a1 =1

then

an = a1 +(n-1)d

a28 = 1 +(28-1)(-9)

a28 = 1 +(27)(-9)

a28 = 1 -243

a28 = -242.

So, The a28th term of a arithmetic sequence is -242.

Learn more about arithmetic sequence here https://brainly.com/question/6561461

#SPJ1

Transformation which can be used for mapping of one triangle to another are;

What does mapping mean in geometry?

We need to map one triangle to another ;

Hence, for mapping of one triangle to another,

The transformation which can be used from the given options are;

Learn more about mapping

brainly.com/question/22566343

#SPJ4

Answer:

B. translation only

E. rotation then dilation

Step-by-step explanation:

B. translation only

E. rotation then dilation

Answer:

35449 people

Explanation:

Given equation: y = 1100.74x -1976.47

Here year '2005' represents x = 005 = 5

So, the year '2034' will represent x = 034 = 34

Insert this into equation:

y = 1100.74(34) -1976.47

y = 35448.69

y ≈ 35449 (rounded to nearest whole number)

Answer: 1. A

2. A

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

a c will have the same angle as b d

Answer:

27

Step-by-step explanation:

volume = side³

v = 3³

v = 27

i dont know how to convert to whatever h is so this is the best answer i can give

The solution of the system of equation is x = 7 and y = 12.5.

2y + 4x = 18

2y - 3x = 4

2y = 4 + 3x

y = 2 + 3 / 2 x

Hence, let's substitute the value of y in equation(1)

2( 2 + 3 / 2 x) + 4x = 18

4 + 3x + 4x = 18

4 + 7x = 18

7x = 14

x = 14 / 2

x = 7

2y - 3(7) = 4

2y - 21 = 4

2y = 25

y = 25 / 2

y = 12.5

learn more on substitution method here: https://brainly.com/question/21620502

#SPJ1

Answer:

Step-by-step explanation:

This is what I am thinking.   - ,- ,- , -  I number goes in each space.  There are 10 numbers to choose from and I cannot use a digit more than once.  I only have 1 choice for last slot and that is the number 7.  I have 9 numbers left .  I could put any one of the 9 numbers in the first spot, then there are only 8 numbers to choose from, so I will put 8 in the second spot.  I now have only 7 numbers that are left for the third spot.

If I multiple this together 9x8x7x1 = 504

The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

Learn more on Word problems here: https://brainly.com/question/16613595

#SPJ1

When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence

Precedence is known to be a kind of rule that tells the order in which a specific operations need to be carry out in an arithmetic expression.

The precedence of an operator specifies how tightly it binds two arithmetic expressions together.

In the arithmetic expression 4 + 5 * 3 , the answer is 19 and not 27 because the multiplication (*) operator has a higher precedence than the addition (+) operator.

Operator associativity is nothing but how operators of the same precedence are evaluated in an arithmetic expression. It can be either from left to right or right to left.

Therefore, when an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence

Learn more about operator precedence here:

https://brainly.com/question/27961595

#SPJ4

Answer: Graph Y

Step-by-step explanation:

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.

Read more on equivalent equations;

https://brainly.com/question/2972832

#SPJ1