Use the line of best fit to predict the total amount of money earned in tips after working 12 hours. (8,80)(2,20)

Answer:

The kite is 10.8 m above the ground.

Step-by-step explanation:

Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.

Notice that X is the opposite cathetus to the 40° angle, then:

We can use the relation:

Sin(θ) = (opposite cathetus)/(hypotenuse)

where, in our case, we have:

θ = 40°

hypotenuse = 15m

opposite cathetus = X

Replacing these in the equation, we get:

Sin(40°) = X/15m

Now we can solve this for X.

Sin(40°)*15m = X = 9.6m

And the actual height of the kite is X + 1.2m

Then:

H = 9.6m + 1.2m = 10.8m

The kite is 10.8 m above the ground.

Answer:

The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)

If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:

[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]

[tex](h,k) = (2,0) + (2, 7)[/tex]

[tex](h, k) = (4, 7)[/tex]

The length of each semiaxis is, respectively:

[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]

[tex]a = 3[/tex]

[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]

[tex]b = 7[/tex]

The standard equation of the ellipse is described by the following formula:

[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.

[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.

If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:

[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]

Answer:

Hello! answer: 13/16

Hope that helps!

Answer:

3×22+3×54

as there's bracket, so c is the answer

Answer:

C

Step-by-step explanation:

Answer:

Mr. Jones paid $192 in sales tax.

Step-by-step explanation:

8 x 2400 = 19200

19200/100 = 192

Answer:

$72.70

Step-by-step explanation:

bill was $56.80

tip was 20% so was 56.80/ 5( because 5 of 20% will make 100%)= $11.36

tax was 8% so was 56.80*8/100= $4.54

total money paid

56.80+4.54+11.36 = 72.70

Answer:

I'm pretty sure it is line plot

Answer:

first

Step-by-step explanation:

A= r*pi*r = pi*r²

Answer:

A.

Step-by-step explanation:

The rearranged segments form a rectangle with length (pi)r and width r.

A = LW

A = (pi)r * r

A = (pi)r^2

Answer: A.

Answer:

1215

Step-by-step explanation:

If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.

So: 972 divided by 1/4 = 972/4 = 243.

972 + 243 = 1215.

Answer:

1215 Students

Step-by-step explanation:

25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!

1. 972/4 (to find 25%)

2. 25% = 243

3. 974 + 243 (old + new)

4. 1215 Students

Answer:

A and C

Step-by-step explanation:

5+(-5) is the same thing as 5-5 so the answer is 0. If you went to the right of number five you would get ten. The answer is 0 so you have to go left of 5 to get to zero.

Answer:

a) The model for the sales of Garmin is represented by [tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112[/tex].

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

[tex]S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt[/tex]

[tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C[/tex] (1)

Where [tex]C[/tex] is the integration constant.

If we know that [tex]t = 9[/tex] and [tex]S(t) = 2.9[/tex], then the model for the sales of Garmin is:

[tex]-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9[/tex]

[tex]C = 47.112[/tex]

The model for the sales of Garmin is represented by [tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112[/tex].

b) The average sales of the Garmin from 2008 through 2013 ([tex]\bar{S}[/tex]) is determined by the integral form of the definition of average, this is:

[tex]\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt[/tex] (2)

[tex]\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt[/tex]

[tex]\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right][/tex][tex]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)[/tex]

[tex]\bar{S} = 2.5[/tex]

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Answer:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{7}{2}x - 16[/tex]

Required

The difference quotient for h

The difference quotient is calculated as:

[tex]\frac{f(x + h) - f(x)}{ h}[/tex]

Calculate f(x + h)

[tex]f(x) = \frac{7}{2}x - 16[/tex]

[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]

[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]

The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]

Collect like terms

[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]

So, we have:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]

Rewrite as:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Answer:

It is A.

Step-by-step explanation:

Just took the test

Answer:

61 seconds

Step-by-step explanation:

Answer:

23 seconds

Step-by-step explanation:

The slowest time is 23 second and the fastest time is 61 seconds

The time before the bar is the tens place and each time after the bar is the ones place

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

plz follow me wenelyn andoyo duay sana makatulong ako

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Answer:

[tex]2 \frac{11}{21}[/tex]

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

Answer:

x³ - 1 = 12x

Step-by-step explanation:

A number cubed decreased by 1 is equal to the product of the number and 12

x³ - 1 = 12x

Answer:

F

Step-by-step explanation:

Answer:

1/8 miles

Step-by-step explanation:

You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex]  for the answer.

First, you gotta make 3/4 have a common denominator.

To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)

and you get 6/8.

Then you can subtract 6/8 - 5/8 to get 1/8 miles.

And there's no need to simplify 1/8.

Answer:

the height is 6 units

Step-by-step explanation:

Given that

The area of the parallelogram is 54 units squared

The base is 9 units

We need to find out the height

As we know that

The area of the parallelogram = Base × height

54 =  9 × height

So, the height is

= 54 ÷ 9

= 6 units

Hence, the height is 6 units

Answer:

You can only find the height if you know the length.

Step-by-step explanation:

Have a good day.

Answer:

A. P = 29.7 m

Step-by-step explanation:

6 + 8 = 14

Now for the diameter of the half circle.

Hypotenuse² = Height² + base²

6² + 8²

36 + 64 = 100

√100 = 10

C = 2πr = 2 · π · 5

≈ 31.42

31.42 ÷ 2 = 15.71

15.71 + 14

29.71

29.71 m ≈ 29.7 m

h ( - 5 ) = - 2 × ( - 5 )

h ( - 5 ) = 10

____________________

f ( h ( - 5 ) ) = f ( 10 )

f ( 10 ) = 10 / 10 - 8

f ( 10 ) = 10 / 2

f ( 10 ) = 5

Answer:

J

Step-by-step explanation:

[tex]y \alpha x \\ \frac{y}{x} = k \\ \frac{21}{3} = \frac{105}{x} \\ x = 15[/tex]

Answer:

12inches

Step-by-step explanation:

Answer:

Equation: y = (1/2)x - 1

Step-by-step explanation:

Answer:

BC = 6.9

Step--step explanation:

Reference angle = 30°

Adjacent = BC

Hypotenuse = 8

Apply trigonometric function, CAH:

Cos 30° = Adj/Hypotenuse

Cos 30° = BC/8

8*Cos 30° = BC

6.92820323 = BC

BC = 6.9 (to the nearest tenth)

Answer:

100,000

Step-by-step explanation:

So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.

When doing division and multiplcation with exponents, you subtract and add.

So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]

The 3, that doesnt have a exponent on top or bottom, cancels out:

So now we have [tex]\frac{10^6}{10^1}[/tex]

Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:

So we have [tex]10^5[/tex]

When you distrubute the ^5, you get:

100,000

So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]

HOpe this helps! :D

Answer:

21:25

Step-by-step explanation:

9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.

Answer:

Step-by-step explanation:

In this scenario, Octavia should buy at least 12 small milkshakes. At $2.50 each small milkshake, buying 12 would be a total of $30. Since she needs to buy atleast 20 total milkshakes, she would need to buy 8 large milkshakes which at $6 each would cost her a total of $48. Together this would sum up to be $78 for the 20 milkshakes which would mean that Octavia is still under her budget.