Baruti, a ranger in Kruger National Park in South Africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatter plot. A line was fit to the data to model the relationship.

10
10
20
20
30
30
40
40
50
50
40
40
80
80
120
120
160
160
200
200
240
240
280
280
320
320Shoulder height (cm)Foot length (cm)
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
y
^
=
6
x
−
20
y
^
​
=6x−20y, with, hat, on top, equals, 6, x, minus, 20

(Choice B)
B
y
^
=
6
x
+
20
y
^
​
=6x+20y, with, hat, on top, equals, 6, x, plus, 20

(Choice C)
C
y
^
=
3
2
x
−
20
y
^
​
=
2
3
​
x−

[tex]A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi[/tex]

Answer: [tex]9\pi[/tex]

Step-by-step explanation:

just u have to put the values of sin and cos and you will get the answer

hope u get help

Excel formulas are expressions used to perform computation.

From the complete question, cell B21 represents base work hour

So, we start by checking if the work hour in cell D5 is less than the base work hour in cell B21

If yes, the work hour remains D5; otherwise the work hour is cell B21

The work hour is then multiplied by the rate in cell C5

Hence, the Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) *

Here, we start by checking if the work hour in cell D5 is greater than the base work hour in cell B21

If yes, the overtime hour the difference between D5 and B21; otherwise the overtime hour and pay is 0

The over time hour if there is, is then multiplied by the rates in cells C5 and B22

Hence, the Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)

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Answer:

x - y =9

x^2 + y^2 = 125

2^2 + 11^2 = 125

11-2 = 9

Thus, the two numbers are 2 & 11.

Hope this helps!

Answer:9.9

Step-by-step explanation:

Add up the scores and dividing the total by the number of scores.

Answer:

9.9

Step-by-step explanation:

12+10+12+14+8+15+8+9+6+5 =99

99÷10=9.9

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

Answer:

210 cm³

Work:

6×7=42

42×5=210

Step-by-step explanation:

When finding volume of a cube or rectangular prism you do the same thing as when you find the area of a square or rectangle, which is multiply the dimensions.

We see it is 7 cubes long, 6 cubes wide, and 5 cubes tall. To find the volume multiply all of these values together.

7×6×5=210

So, the volume of the prism is 210 cubes. Sense each cube is 1 cm³ the answer to the problem is 210 cm³

Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22

Answer: The square is 32

Step-by-step explanation:

In - order to find the size of the square you must do width times height . . .

What is 4 x 8 ? 32

Step-by-step explanation:

1. Combine Like Terms (Add):

[tex]5x+15+10x+7[/tex]

[tex]15x+22[/tex]

2. Use Distributive Property:

[tex]5(x+3)+2x+7[/tex]

[tex]5x+15+2x+7[/tex]

Combine Like Terms:

[tex]7x+22[/tex]

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror

Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

Answer:

I know that I saw that on social

Answer:

71.4

Step-by-step explanation:

add all together and divide by the number of players.

The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.

The area of the triangle is half the product of the height of the triangle and the base of the triangle.

As we know that the area of a rectangle is double the area of a triangle,

therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.

Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.

Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.

Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).

Learn more about Area of Triangle:

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Ai need help please 43

Step-by-step explanation:

please just need help

Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

The correct answers are:

We are asked to combine the magic number -15 with the given statements.

Hence, if we combine the magic number with the given statements, we would have:

a. -15 + 15 = 0

b. -15 + (-15)= -30.

c. -15 + 15 = 0.

Hence, the answers are 0, -30 and 0 respectively.

Read more about magic numbers here:

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Answer:

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:

Determine slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]

Use either coordinate point to find "b", the y-intercept

[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]

Final Equation

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Answer:

9.54ft

Step-by-step explanation:

This problem uses pythagoras theorem as the ladder and the wall make a triangle.

A

B                    C

Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula

3^2+b^2=10^2

Rearranged this is,

b^2=10^2-3^2

b^2=91

b=[tex]\sqrt{91}[/tex]

b=9.54

The above is rounded to two decimal places

Answer: 63/100

Step-by-step explanation: it is in its most simplified form

Answer:

C

Step-by-step explanation:

if you plug in the X values, you get the corresponding Y values.

Answer:

198.6

Step-by-step explanation:

see pic

Answer:

1 minute

Step-by-step explanation:

1km = 1000m

30km = 30000m

30km ÷ 60 = 500m

it takes one hour to go 30km or a ratio of 30km to 1hour. 1hour is also 60minutes. 30:60

divide both sides by 60 gets 500m and the amount of time to go that distance 1 minute

Answer:

1/60 hr or 1 minute

Step-by-step explanation:

30 km per hour

30 km : 1 hr

convert 500 metres to km

1 km = 1000 metres

500 ÷ 1000 = 0.5 km

using ratios

30 km : 1 hr

0.5 km : x hr

to get from 30 to 0.5 multiply by 1/60 ( we got this from doing 0.5 ÷ 30) , so do the same to the other side

1 hr × 1/60 = 1/60 hr

you can convert to minutes = 1/60 × 60 = 1 minute

The underlined part of the sentence can best be described as an adjective phrase.

In formation of sentences in English language, the words that are used usually include the following parts of speech:

An Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.

From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.

Learn more about parts of speech here:

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It can be seen that the value of the mean computed will be 91.9 miles.

A mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.

Therefore, the mean of the numbers will be:

= 1011/11

= 91.9 miles.

In conclusion, the correct option is 91.9 miles.

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Functions can be modeled by equations, tables and graphs

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

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

Substitute known values

[tex]m = \frac{2 - 1}{4 - 0}[/tex]

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

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = \frac 14(x -0) +1[/tex]

[tex]y = \frac 14x +1[/tex]

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

[tex]y = \frac 14 * 10 +1[/tex]

[tex]y = 3.5[/tex]

Approximate

[tex]y = 4[/tex]

Hence, the company should expect 4 box office gross in week 10

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Hi! I will help you with a smile!

First of all, we have the slope of the line and a point that it passes through.

Let’s write the line’s equation in Point-Slope Form:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate.

In this case, y1=-4, m=-6, and x1=3

Solve:

y-(-4)=-6(x-3)

y+4=-6x+18

y=-6x+18-4

y=-6x+14 (Answer)

Hope it helps.

Do comment if you have any query regarding my answer.

Answered by

PeacefulNature :-)

Answer:

y = -6x+14

Step-by-step explanation:

m = -6 ,given as x an y (3,-4)

solution y-y1 = m(x-x1)

y-(-4) = -6(x-3)

y+4 = -6x+18

then y = -6x+18-4

y = -6x+14

Answer:

we need to know the question

Step-by-step explanation:

Answer:

128:72

Or

16:9 (simplified)

Hope this helps!