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153 miles x 5280 feet per mile = 807,840 feet per hour.

1 hour = 3600 seconds.

The speed is 807,840 feet / 3600 = 224.4 feet per second.

Distance in 15 seconds = 224.4 x 15 = 3,366 feet.

The height of the rocket after t seconds is given by the equation h(t) = -16t² + 42t

An equation is an expression that shows the relationship between two or more variables and number.

1 mile = 5280 feet, 1 hour = 3600 seconds

153 miles per hour = (153 * 5280) / (3600) ft/s = 224.4 ft/s

After 15 seconds, height = 224.4 ft/s * 15 s = 3366 ft

The speed of the parachute is 224.4 ft/s, while after 15 seconds the distance fell was 3366 ft.

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Answer:

The answer is

[tex]y - 4 = - 10(x - 1)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

So we have the final answer as

[tex]y - 4 = - 10(x - 1)[/tex]

Hope this helps you

Answer:

a

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  [tex]\mu  =  3 \  minutes =  180 \  seconds [/tex]

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  [tex]\alpha =  0.05[/tex]

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x  =  \frac{156 + 136 + \cdots  + 181}{25}[/tex]

=>      [tex]\= x  = 173.2 [/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }[/tex]

=>    [tex]\sigma  =  24.261[/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }[/tex]

=>   [tex] z = -1.40[/tex]    

Generally p-value is mathematically represented as

  [tex]p-value  =  P(Z <  z)[/tex]

=>  [tex]p-value  =  P(Z < -1.40)[/tex]

From the z-table  

   [tex]P(Z < -1.40) =  0.080757[/tex]

=>   [tex]p-value  = 0.080757 [/tex]

From the obtained value we that  [tex]p-value >  \alpha[/tex]

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

4 dollars flat $4.00

Step-by-step explanation:

1.25x4= 5$ 5$+5$=10$

Answer:

4 candy bars

Step-by-step explanation:

you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10

Answer:

2.44949

Step-by-step explanation:

hope this helps

Answer:

2.9

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3×2

6+1

7

You multiple it by 2 since it is 1/2 and not a whole piece

Answer:

7

Step-by-step explanation:

3 1/2 divided by 2 is 7

Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

Answer:

147

Step-by-step explanation:

Divide 294 by 2

The solution of the expression (- 4b² + 8b) + (4b³ + 5b² - 8b) would be

(4b³ + b² ).

Used the concept of the equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

The equation is,

(- 4b² + 8b) + (4b³ + 5b² - 8b)

Now, combine like terms of the equation and simplify as,

(- 4b² + 8b) + (4b³ + 5b² - 8b)

4b³ - 4b² + 5b² + 8b - 8b

4b³ + b²

Therefore, the solution is (4b³ + b² ).

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Answer:

4

Step-by-step explanation:

2(4x-11)+9=19

8x-22+9=19

8x-13=19

8x=32

x=4

Answer:

81

Step-by-step explanation:

3^4

=3*3*3*3

=81

Hope this helps!!

The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and three angles.

Given that;

The triangular prism figure after fold is given.

Now, The triangular prism figure is contain two triangles and three squares.

So, In option A;

There are two triangles and three squares.

And, In option D;

There are two triangles and three squares.

Thus, The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

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Answer:

160 animals

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

If the question mark is an accident, the answer is 10x.

5x+6x-2x+x

11x-2x+x

9x+x

10x

Answer: 19 XD

Step-by-step explanation: u add

Answer:it may be the first one but I can’t see the lines on the graph clearly.

Step-by-step explanation:

Answer:

16 days

Step-by-step explanation:

1.08 $:9 days

1.92 $: x

1.08 x: 17.28

x = 16

Answer:

Drake

Step-by-step explanation:

Answer:

Drake

Step-by-step explanation:

The answer is 3k^2 m^6/ 4

You would put the first half on top of the four.

Answer:

120-4.50 = 115.10

Step-by-step explanation:

She will have $115.10 left if she buys one mean

Answer:

−3, −2, −1, 0, 1, 2, 3

Answer:

1 7/20

Step-by-step explanation:

Answer:

27/20 or 1 7/20

Step-by-step explanation:

1) make the denominators the same

2) add the numerators

3) the denominator stays the same

4) simplify it to 1 7/20

Answer:

Option B. 4<=x<=6 is the solution set.

The first negative sign cancels out the second, so 2 is equivalent to -(-2).

A double negative number becomes a positive.

-(-2) = 2

The answer is positive 2

Answer: No

Step-by-step explanation:

Answer:

Step-by-step explanation:

49y^2 - 25x^2 - 196y - 200x = 1429

49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400

49(y-2)^2 - 25(x+4)^2 = 1225

(y-2)^2/25 - (x-4)^2/49 = 1

So now you know that you have an hyperbola with

center at (-4,2)

foci at (-4,2±[tex]\sqrt{74}[/tex])

vertices at (-4,2±5)

asymptotes 7y±20 = ∓5x+14