An object is dropped from the top of a tall building. The height S of the object after t seconds is given by the equation s=-16t^2+676. Find how many seconds pass before the object hits the ground.​ (Hint: The object is on the ground when S​ = 0.)

Answer: 7 pt

Step-by-step explanation:

1 U.S pt is 2 cups

take 14 divided by 2

= 7

distribute the [tex]7[/tex] and [tex]5[/tex]:

[tex]7(4+t)-5(t+1)=\\28+7t -5t -5[/tex](collect like-terms)

[tex]28-5 +7t-5t=\\23+2t[/tex]

[tex]23+2t[/tex] or [tex]2t+23[/tex] is your answer. hope this helps <3

Answer:

n=-37

Step-by-step explanation:

9+n/4 = -7

First, we multiply each side by 4:

9+n= -28

Subtract 9 from both sides

n= -37

Hope this helps!!!

Answer:

n=8

Step-by-step explanation:

[tex]-9+\frac{n}{4}=-7\\ \frac{n}{4}=-7+9\\\frac{n}{4}=2\\ n=4*2\\n=8[/tex]

Answer:

(5,-6)

Step-by-step explanation:

Answer: 82 sq. units .

Step-by-step explanation:

Answer:

y=3/4x

it passes through (-4,-3) on its own

Answer: r=2

Step-by-step explanation:

We can use the given 2 points to find slope. Since we are given the slope, we can plug it into the formula and solve for r.

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =2[/tex]                                        [plug in values]

[tex]\frac{12-r}{-6-(-11)} =2[/tex]                                   [combine like terms]

[tex]\frac{12-r}{5} =2[/tex]                                          [multiply both sides by 5]

[tex]12-r=10[/tex]                                      [subtract both sides by 12]

[tex]-r=-2[/tex]                                          [divide both sides by -1]

[tex]r=2[/tex]

Answer:

rational, Natural, Integer, whole

Step-by-step explanation:

remember your perfect squares

the sqrt of 25 is a perfect square

sqrt of 25 is 5

5 is all except irrational

Answer:

21,31

Step-by-step explanation:

Hi, Get in touch . I will help you out with this and future assignments. kyalovincent6 .use geemail

Answer:

y= 4x

Step-by-step explanation:

2*4=8

3*4=12

4*4=16

5*4=20

6*4=24

7*4=28

Answer:

18 on the left 29 on the right

Step-by-step explanation:

LEFT SIDE

There is one row of 10 cubes and one row of 8 cubes making 18

RIGHT SIDE

There are two rows of 10 cubes and 1 row of 9 cubes making 29

Answer:

Sample  1 : independent

Sample  2 :   dependent

Step-by-step explanation:

From the question we are told that

   The  given date is  

                   Sample 1: Pre-training blood pressure of 17 people

                    Sample 2: Post-training blood pressure of 17 people

Now  Sample 1 is independent because  the Pre-training blood pressure of 17 people does not depend of Post-training blood pressure of 17 people

While  

        Sample 2  is  dependent because the Post-training blood pressure of 17 people is  dependent on the Pre-training blood pressure of 17 people

Correlation is a quantitative measure of the strength of a non-linear association between two variables.

Statement B is false because the r value measures the linear association between two variables. In other words, it tells us how good a linear fit we have with a scatterplot of data. So this is why statement A is true.

As r gets closer to +1, then we have a stronger positive linear correlation. If r = 1 exactly, then all points fall on the same straight line with positive slope (the slope isn't necessarily m = 1). Conversely, if r = -1, then the points fall on the same straight line with negative slope (not necessarily m = -1). As r gets closer to r = 0, the strength of the linear relationship weakens. All of this points to statements A, C, and D to be true statements.

Answer:

Correlation is a quantitative measure of the strength of a non-linear association between two variables.

Step-by-step explanation:

Correlation specifically measures the strength and direction of a linear association between two variables.  So we can't use it for all variables or for non-linear associations.

Answer: yes.

Step-by-step explanation:

adding 10 is moving the decimal point once to the right, so yes.

move the decimal point in 0.007 once to the right (multiply it by 10) and you get 0.07

Answer:

Yes

Step-by-step explanation:

Answer:

The first blank is 81[tex]x^{2}[/tex]+9=x-1

The second blank is 9x+3=x^2-1

Step-by-step explanation:

For the first part, you must set up the equation (9x+3)^2       then you must multiply the exponent to the inside exponents [tex]9^{2} x^{2}[/tex]+[tex]3^{2}[/tex] next, simplify.

81[tex]x^{2}[/tex]+9=x-1

For part two, set up equation. [tex]x^{2} -1^{2}[/tex] Then simplify 9x+3= [tex]x^{2} -1[/tex]

9x + 3 = x - 1

Squaring the left side and simplifying results in​ 81x² + 53x + 10 = 0.

Squaring the right side and simplifying results in x² - 11x - 2 = 0.

Given,

9x + 3 = x -1

We need to square on the left side and right side separately and find the results.

(A + B)² = A² + 2AB + B²

(A - B)² = A² - 2AB + B²

We have,

9x + 3 = x - 1

Squaring the left side.

( 9x + 3)² = x - 1

(9x)² + 2 x (9x) x 3 + 3² = x - 1

81x² + 54x + 9 = x - 1

81x² + 54x - x + 9 + 1 = 0

81x² + 53x + 10 = 0

Now,

9x + 3 = x - 1

Squaring right side

9x + 3 = ( x - 1 ) ²

9x + 3 = x² - 2 x (x) x 1 + 1²

9x + 3 = x² -2x + 1

x² - 2x - 9x + 1 - 3 = 0

x² - 11x - 2 = 0

Thus the results after simplifying 9x + 3 = x - 1 are

Squaring on the left sides:

81x² + 53x + 10 = 0

Squaring on the right sides:

x² - 11x - 2 = 0

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Answer:

i think it would be 18 kids in the class

Step-by-step explanation:

since for every 4 boys there are 5 girls and so it means

so for every 10 girls there would be 8 boys

Answer: B

Step-by-step explanation: (3, 4) is 4 units above the x-axis

Answer:

A square is a closed, two dimensional shape with 4 equal sides.

It is also a quadrilateral.

Step-by-step explanation:

none :)

Answer:

This is false

Step-by-step explanation:

Because we have to understand that some times sample mean may be very high that is they may be practically significant but are not statistically significant because the calculated p-value is not less than alpha value which could only mean that they could occur as a result of mere chance.

Answer:

He was correct

Step-by-step explanation:

100÷ 19.678= 5

5 meters for seconds

Answer: $25

Step-by-step explanation:

Answer:

There is no sufficient evidence to support  the claim that the boards are either too long or too short

Step-by-step explanation:

From the question we are told that

   The  population mean is [tex]\mu = 2599.0[/tex]

    The sample size is  [tex]n = 23[/tex]

     The  sample mean is  [tex]\= x = 2600.3 \ mm[/tex]

    The  standard deviation is  [tex]\sigma = 13.0[/tex]

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

The  null hypothesis  is  [tex]H_o : \mu = 2599.0[/tex]

  The  alternative  hypothesis is [tex]H_a : \mu \ne 2599.0[/tex]

Generally the test statistics is mathematically represented as

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

=>          [tex]t = \frac{ 2600.3 - 2599.0 }{ \frac{13}{ \sqrt{ 23} } }[/tex]

=>            [tex]t = 0.3689[/tex]

Now from the normal distribution table  the critical value  of  [tex]\alpha[/tex] is  

    [tex]Z_{\alpha } = 1.645[/tex]

Hence from the evaluated and obtained value we see that

    [tex]t < Z_{\alpha }[/tex]

Hence we fail to reject the null hypothesis  

  Thus we can conclude that there is no sufficient evidence to support  the claim that the boards are either too long or too short

The required magic square using the numbers 6, 8, 10, 13, 15, 17, 20, 22, and 24 is   | 6   |   8    | 10 |

                  | 13  | 15    | 17  |

                  | 20 | 22   | 24 |.

A magic square is a square grid of numbers, typically integers, where the numbers in each row, column, and diagonal add up to the same constant value.

Here,
To create a magic square using the numbers 6, 8, 10, 13, 15, 17, 20, 22, and 24, we can follow these steps,

Start by placing the number 15 in the center square of the grid.

Place the number 6 in one corner of the grid. We'll choose the top left corner for this example.

Place the number 24 in the opposite corner. We'll choose the bottom right corner for this example.

Place the remaining numbers in the empty squares of the grid, following these rules:

a. If a square is already occupied, move to the next square in the same direction.

b. If you reach the edge of the grid, wrap around to the other side.

c. If you reach a square that is diagonally adjacent to a previously filled square, move to the next empty square in a clockwise direction.

Using these rules, we can fill in the rest of the grid as follows:

| 6   |   8    | 10 |

| 13  | 15    | 17  |

| 20 | 22   | 24 |

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Answer:

so just be you

Step-by-step explanation:

A product concept statement, sometimes referred to as just a "concept statement" represents the vision that a business owner and his design team has for a product or service. It describes the product or service, explains its purpose and considers the consumer demographics that the product is market toward.

Answer:

38.2, or 38 1/2

Step-by-step explanation:

Steps for Solving Linear Equation:

4=51.75−1.25x

Swap sides so that all variable terms are on the left hand side.

51.75−1.25x=4

Subtract 51.75 from both sides.

−1.25x=4−51.75

Subtract 51.75 from 4 to get −47.75.

−1.25x=−47.75

Divide both sides by −1.25.

x=−1.25−47.75​

Expand −1.25−47.75​≈38.2 by multiplying both numerator and the denominator by 100.

x=−125−4775​

Reduce the fraction −125−4775​≈38.2 to lowest terms by extracting and canceling out −25.

x=5191​

Answer:

$64

Step-by-step explanation:

Otto had x dollars.

He spent 3/4x which equals to $48

Otto had $64 before he bought the game

Answer:

64

Step-by-step explanation:

Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

Multiply both sides by 3/19:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

y = 4

Hint: | Perform a back substitution.

Substitute y = 4 into the first and second equations:

{z = -x - 3

x = -3

y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

{z = 0

x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -3 , y = 4 , z = 0

Answer:

1.)6.68% ; 2)84.13% ; 3)84.13% ; 4)1168 ; 5)1105

Step-by-step explanation:

Given a normal distribution with:

Mean (m) = 1000

Standard deviation (sd) = 200

1) What percentage of the persons who take the test score above 1300?

X = 1300

Zscore = (x - m) / sd

Zscore = (1300 - 1000) / 200 = 300/200 = 1.5

P(z > 1.5) = 1 - p(z < 1.5) ;

From the z distribution table:

p(z < 1.5) = 0.9332 ; 1 - 0.9332 = 0.0668 = 6.68%

2) What percentage score above 800?

X = 800

Zscore = (x - m) / sd

Zscore = (800 - 1000) / 200 = - 200/200 = - 1

P(z > - 1) = 1 - p(z < - 1) ;

From the z distribution table:

p(z < - 1) = 0.1587 ; 1 - 0.1587 = 0.8413 = 84.13%

3) What percentage score below 1200?

X = 1200

Zscore = (x - m) / sd

Zscore = (1200 - 1000) / 200 = 200/200 = 1

p(z < 1)

From the z distribution table:

p(z < 1) = 0.8413 = 84.13%

Above what score do 20% of the test takers score?

P(z > Zscore) = 0.2 = P(z > Zscore) = 1 - 0.2 = 0.8

P(z < Zscore) = 0.8

0.8 is closest to a Zscore of 0.84

From the formula:

Zscore = (x - m) / sd

0.84 = (x - 1000) / 200

168 = x - 1000

x = 168 + 1000 = 1168

Above what score do 30% of the test takers score?

P(z > Zscore) = 0.3 = P(z > Zscore) = 1 - 0.3 = 0.7

P(z < Zscore) = 0.7

0.8 is closest to a Zscore of 0.525

From the formula:

Zscore = (x - m) / sd

0.525 = (x - 1000) / 200

105 = x - 1000

x = 105 + 1000 = 1105