Read the real-world situation and substitute in values for the projectile motion formula. Then solve the resulting quadratic equation by factoring to answer the question. An airplane pilot jumps out of an airplane and has an initial velocity of 60 feet per second downwards. How long does it take to fall from 1000 feet to 900 feet before the parachute opens? The pilot falls for seconds before the parachute opens.

Answer:

The slope is  

m =5

The y-intercept is  

b =-7 or (0,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.

i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)

The probability that the sum of the two numbers that show up is 7 is

6/36 = 1/6

ii) the number of outcomes whose sum is even are 18

The probability that the sum of the two numbers that show up is even is

18/36 = 1/2

ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)

The probability that the sum of the two numbers that show up is greater than 9 is

6/36 = 1/6

3) this is a poisson distribution. We want to determine the mean.

Mean = np

p = 5/200 = 0.025

n = 600

Therefore,

Mean = 0.025 × 600 = 15 eggs

15 eggs are expected to be broken from a crate containing 600 eggs

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

tan 40 = x / 18

x = 15.10 ft

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Answer:

16

Step-by-step explanation:

Therefore:

Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)

=45-(15.6+18.04)

=45-33.64

=11.36 oz

Since each muffin is made with 0.71 oz of flour

Number of muffins made=11.36/0.71

=16

16 muffins were made.

Answer:

Step-by-step explanation:

C

Answer: 11 pounds

Step-by-step explanation:

x : # of pounds an electronic is

9.98 + 0.75x : total cost of shipping an electronic that is "x" pounds

9.98 + 0.75x = 18.23

0.75x = 8.25

x = 11 pounds

Answer:C

Step-by-step explanation:

By visual inspection, the best-fitting regression model for the data plot is the linear regression.

A regression model determines a relationship between an independent variable and a dependent variable, by providing a function.

Determining the regression model :-

From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases,

This type of model is a linear regression model.

Hence, the best-fitting regression model for the data plot is the linear regression.

Read more about regression models at:

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Answer: The area of one wall is  216.72 ft^2.

Step-by-step explanation:

16.8 *  12.9 = 216.72

Answer:

R = 35.0

Step-by-step explanation:

We know tan theta = opp/ adj

tan R = r/s

tan R = 7/10

Take the inverse tan of each side

tan ^-1 tan (R) = tan ^-1 (7/10)

R =34.9920202

R = 35.0

Answer:

A. 35º

Step-by-step explanation:

Answer:

14. 14.86 (simple subtraction)

15. 4 dollars (156/39 = 4)

18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)

19.14 (3.5/0.25)

20. A(understanding question contex)

25. 3a + 3b or C (add all the a's and b's together)

26. 5 (Divide apples by 3)

28.C(multiply all the sides together)

29. A (12/7 is fraction form of 12 : 7)

30. C (rate is 20 so 6 * 20 = 120)

31. D

Hoped this helped, this took a while to do :)

Answer:21 cents

Step-by-step explanation:5.25 divided by 25 is 21

Answer:

105 degrees

Step-by-step explanation:

The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.

28 + 47 + x = 180

75 + x = 180

75 - 75 + x = 180 - 75

x = 105

Answer:

105 degrees

Step-by-step explanation:

28+47=75

180-75=105

Answer:

1/4 is the largest number in the list

Answer:

a = 9m

Step-by-step explanation:

You can take the volume of the water tank as the volume of a cube.

The volume of a cube with side a is given by:

V=a*a*a = a^3

To find the value of a you do a the subject of the formula:

a=(V)^{1/3}

You replace and obtain for a:

a = (729m^3)^{1/3} = 9m

hence, the rim a of the water tank is 9m

Answer: The side of the tank is 9 m.

Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.

To calculate Volume of a cube:

V = length*width*height

Knowing that volume is 729 and assuming sides are x:

x*x*x = 729

x³ = 729

x = [tex]\sqrt[3]{729}[/tex]

x = 9

The volume is in cubic meters, so sides of the tank measures 9 m.

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

Answer:

hosta = $5 each

geranium = $2 each

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Leas's cost: 11 h + 7 g = 69

Elisa’s cost: 10h + 7g = 64

Where h is the price of one hosta and g is the price of one geranium.

Subtracting Elisa's cost to Leas's cost:

11 h + 7 g = 69

-

10h + 7g = 64

____________

h = $5

Replacing h in one equation:

11 (5) + 7 g = 69

55 +7g =69

7g = 69-55

7g= 14

g= 14/7

g= $2

Answer:

I would use box-and-whisker plots to compare the two sets of prices. The plots will show the ranges, which is the difference least and greatest data points. Also, the medians will divide each set of data into 4 equal groups. Comparing these middle values and range of prices in each group will show how similar the prices are.

Step-by-step explanation:

used this son my test and it was right.

Answer:

235.2

Step-by-step explanation:

147 * 1.60 -> this way is an all in one calculation but to double check you can take 60% of 147 (147 * .60 = x ) and add that value to 147 so... 88.2+147=235.2

Answer:

88.2

Step-by-step explanation:

So all you have to do is this 147 * .60 = 88.2

Answer:

1. Slope: -3; passes through (0,5)

y = mx + b

5 = -3(0) + b

5 = b

y = -3x + 5

2. Passes through (0, -2) and (4,-1)

m = -1 + 2 / 4 - 0

m = 1/4

y = mx + b

-2 = 1/4(0) + b

-2 = b

y = 1/4x - 2

Step-by-step explanation:

Part 1

1. write down the slope intercept formula

2. replace x and y by their value

3. solve for b

4. write your answer by putting them in the formula again

Part 2.

1. label your ordered pairs and write down the slope formula

2. solve for the slope by replacing the letters by their values

3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.

4. solve for b, and then put your answers back into the formula.

Step-by-step explanation:

In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!

Answer:

[tex]216=2w \times w[/tex]

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

[tex]A= l\times w[/tex]

Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Now let's assume that the length of the patio is double than the width.

[tex]l=2w[/tex]

So, the equation that represents this problem is

[tex]216=2w \times w[/tex]

Answer:

x(x+6)=216

Step-by-step explanation:

It would actually be x instead of w because in the equation, they are using x's.  

The equation would then be solved by making the equation x^2+6x=216.

By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.

Hope this helps!

Answer:

AC = 3.06

Step-by-step explanation:

Answer:

7 meters

Step-by-step explanation:

Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.

Answer:

[tex]\frac{64}{27} cm^3[/tex]

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume =  [tex]\frac{64}{27} cm^3[/tex]

Answer: The items cost as follows;

(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28

Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.

The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;

x + y + z = 52.50

However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.

Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.

Note however that, if y = 3z/4, then by cross multiplication,

4y = 3z

4y/3 = z

Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation

x + y + z = 52.50

y/6 + y + 4y/3 = 52.5

using a common denominator which is 6, you now have;

(y + 6y + 8y)/6 = 52.5

By cross multiplication, you now have

15y = 52.5*6

15y = 315

Divide both sides of the equation by 15

y = 21

Therefore, if the sketchbook is y, then the sketchbook costs $21.

Also if the brush is x, then the brush costs

x = y/6

x = 21/6

x = 3.50 (The brush costs $3.50)

Also if the sketchbook costs 3/4 of the paint set, then

y = 3z/4

21 = 3z/4

21*4 = 3z

84 = 3z

Divide both sides of the equation by 3

28 = z (The paint set costs $28)

Answer:

2/3

Step-by-step explanation:

2nd term = 2/5

5th term = 16/135

Nth term for any series is given by [tex]a r^n-1[/tex]

where a is the forst term

r is the common ratio

for 2nd term

[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]

for 5th term

[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]

Since we have to eliminate a  and find r .

we can divide 5th term by second term

then we get the following equation

[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]

\

Thus, common ratio is 2/3.

Answer:

78 apples for 12 pies

Step-by-step explanation:

we use 13 apples for 2 pies

she makes 12 pies

6x2 = 12 pies

so we do 13x6

13x6=78

78 apples for 12 pies :)

can i get brainliest

Answer:

13/2 = 6.5

12 x 6.5 = 78

? = 78

13/2 = 78/12

Step-by-step explanation:

13 apples ÷ 2 pies = 6.5 apples per pie

12 pies x 6.5 apples per pie = 78 apples for 12 pies

? = 78 apples for 12 pies

13/2 = 78/12