A ball is thrown from a height of 70 meters with an initial downward velocity of 10/ms. The ball's height h (in meters) after t seconds is given by the following.
h=70-10t-5t^2

Answer:

-5 ≤ x < 0

Step-by-step explanation:

Step 1: Convert word signs to math

greater than or equal to: ≤ x

less than: x <

Step 2: Substitute in numbers

-5 ≤ x < 0

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

The 1st term is 60.

Add 50 to this to get the 2nd term, 60 + 50 = 110.

Add 50 to that to get the 3rd term, 110 + 50 = 160.

Add 50 to that to get the 4th term, 160 + 50 = 210.

And so on...

Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.

In the 3rd, we ultimately added 2 copies of 50 to the 1st term.

In the 4th, we added 3 50s.

And so on... If the pattern continues, then the n-th term can be obtained by adding (n - 1) copies of 50 to the first term.

So, the 100th term is

60 + (100 - 1) * 50 = 5010

Answer:

64 hours

Step-by-step explanation:

Hope this helps :)

Answer: i believe the answer is B

Step-by-step explanation: because if p to q is true, then that means p and q are both true!

Answer:

the cooking club made 8 pies

Step-by-step explanation:

first do 60 divided by 5 to find the total number of pies you get 12

then since the cafetria donates four pies and the cooking club makes the rest,  you do 12-4=8

There were 11 pies cooked in all by the club to earn money for the basketball game.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale.

Each Pie cut into four pieces

Since there were 60 pieces of pie

The total number of pies sell at a basketball game =  60/4

The total number of pies sell at a basketball game = 15

Also, given there were four pies donated by Cafeteria

Thus,

Total pie basketball team made = 15 - 4

Total pie basketball team made = 11

Therefore, the Total number of pies made by the club to raise funds for the basketball game is 11.

Learn more about function here:

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Answer:

[tex]-16x^2-9x+12[/tex]

Step-by-step explanation:

[tex]2x-3x+ 10x[/tex]

[tex]-16x^2-9x+12[/tex]

[tex]15x-6x^2+3[/tex]

[tex]-7x+ 9x^9 - 11x[/tex]

Standard form is when the polynomial's terms's degrees go down so the highest power is the first and the lowest is the last.

We see that the first expression can be more simplified so that isn't right.

We see that the second expression is in standard form so that might be right.

We see that the third expression has the highest power as the second term so that is wrong

We see that last expression is the same as the third one so that is also wrong.

We can conclude that [tex]-16x^2-9x+12[/tex] is the correct one or in standard form.

Answer:   Part A: Noah eats 10/8's. Or 1 and 2/8's if you have to simplify.

Part B: Draw the circles and cut them into 8 slices and color in two of each.

Part C: So if Jessica ate half of what Noah eats, she only ate 5/8's of pizza.

Part D: Noah and Jessica together ate 15/8's of pizza or if you want to simplify, 1 and 7/8's of pizza. There is 25/8's of pizza left, or 25 pieces left. And the remaining friends ate 1/5 of the remaining pizza which was 25 pieces. So, they ate 5 pieces.  So they ate 5/8's of the remaining pizza.

Step-by-step explanation:

I think this might be your answer. Double check to make sure i am not wrong.

Answer:

Square root of 2

Pi

Step-by-step explanation:

Answer:

square root of 5 pi sq root of -11

Step-by-step explanation:

Answer:

The sides of the pigpen are 3 by 17

Step-by-step explanation:

Perimeter of pigpen => 2x + 2y = 40

Area of pigpen => xy = 51 (this is assuming x = length, and y = width)

Let's isolate "y" for the first equation;

2x + 2y = 40

2(x + y) = 40

x + y = 20

y = 20 - x

xy = x(20 - x) = 51 = 51

20x - x^2 = 51

x^2 - 20x + 51 = 0

According to the quadratic equation =>

x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17

x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3

The dimensions of the pigpen are actually 17 by 3

Proof: 17(3)= 51, 2(17) + 2(3) = 40

Answer:

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x (x + 5) + 5(x + 5)

(x + 5) (x + 5)

Answer: 2/3

Step-by-step explanation:

Books per month is books divided by months

she read 2 books in 3 months, so divide 2/3

2/3 is your answer

Fraction in simplest form is  [tex]\frac{2}{3}[/tex] .

Given Lillian read 2 books in 3 months.

So, He read books in one month is  [tex]\frac{2}{3}[/tex].

Hence Lillian reads  [tex]\frac{2}{3}[/tex] books per month.

For more details on unitary method follow the link:

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Answer:

1 /4 ( x+11 )

Step-by-step explanation:

Factor  1 /4  out of each term.

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer:

u,

Step-by-step explanation:

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

Answer:

I haven't done this in a while but wouldn't it just be--

17. X=40

18. X=40

19. X=55

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

472k

Step-by-step explanation:

cause it was plus the number to the number

Answer:

11

Step-by-step explanation:

k4 -7 + k2

(3)4 -7 +(3)2

12-7+6

=11

Answer: the answer would be15%

Step-by-step explanation:

idk i am in 6th grade idk

Answer:

23 acts

Step-by-step explanation:

This is a division problem.

92/4 = 23

Answer: 23 acts

Answer:

Step-by-step explanation:

The question is incomoplete. Here is the complete question.

The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km

T(d)=10d + 20

T(5)=10(5) + 20

T(5)=  50+ 20

T(5) = 70

Hence the temperature is 70 when d = 5km

when d = 20km

T(20)=10(20) + 20

T(20)=  200+ 20

T(20) = 220

Hence the temperature is 220 when d = 20km

when T = 100km

T(100)=10(100) + 20

T(100)=  1000+ 20

T(100) = 1020

Hence the temperature is 1020 when d = 100km

The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.

The complete question requires that we find the temperature at 5km, 20km and 100km.

The temperature function is; T(d)=10d + 20

For 5km;

For 20km;

For 100km;

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Answer:

Lauren.

Work:

1/2 vs. 6/8

1/2 * 4/4 = 4/8

6/8 > 4/8

Answer:

One half as a percentage is 50%.

Six eighths as a percentage is 75%.

So Lauren scored 75 percent of her attempts.

Erin only scored 50% of her attempts.

Therefore, Lauren was the most successful during the game.

Work:

1/2 equals 50%.

6/8 equals 75%.

Hope this helps!

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

[tex]x-2\sqrt{x^2+7x-5}[/tex]

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

---------------------

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

------------------------

                     13

So the answer will be; x+9 remainder 13

Answer:

This is the identity property.  It means that any number added by zero would be the same number.  In the second expression the zeroes were taken away.

Step-by-step explanation:

like and 5 start luv u

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

Answer:

48.55

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Convert 70 into 70.00 and then it will be easier to subtract.

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