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Answer:

t = 14 seconds

Step-by-step explanation:

Given that,

A package is accidentally dropped from a helicopter from a height of 3,136ft.

The equation for height as a function of time is :

[tex]h(t) = -16t^2 + \text{initial height}[/tex]

So,

[tex]h(t) = -16t^2 +3,136[/tex]

When it hits the ground, h(t) = 0

So,

[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]

So, it will take 14 seconds for the package to hit the ground.

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

[tex]log_{2}[/tex] y = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] x + 3

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then

0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )

- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )

6 = [tex]log_{2}[/tex] k , then

k = [tex]2^{6}[/tex] = 64

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

Answer:

-0.80

1.66

0.26

2.56

-0.50

Step-by-step explanation:

The values are the probability values either to the right or left of a given z - value ;

The Z - values could be obtained using the standard normal distribution table or a calculator :

Using the Z probability calculator ;

Area to the left of z is 0.2119

1.)

P(z < z) = 0.2119

z = - 0.8

2.)

Area between - z and z = 0.9030

Area to the left of z = 0.9030 plus

Area to the right of z = (1 - 0.9030) / 2 = 0.097/2 = 0.0485

(0.9030 + 0.0485) = 0.9515

P(z < z) = 0.9515

z = 1.66

3.)

Area between - z and z = 0.2052

Area to the left of z = 0.2052 plus

Area to the right of z = (1 - 0.2052) / 2 = 0.7948/2 = 0.3974

(0.2052 + 0.3974) = 0.6026

P(z < z) = 0.6026

z = 0.26

D.)

The area to the left of z is .9948

P(Z < z) = 0.9948

z = 2.562

E.)

The area to the right of z is .6915.

P(Z < z) = 1 - 0.6915

P(Z < z) = 0.3085

z = - 0.5

Answer:

The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters

Step-by-step explanation:

The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h

Where;

ρ = The density of the fluid

g = The acceleration due to gravity ≈  9.81 m/s²

h = The depth of the body in the fluid

The pressure at the surface of water = The atmospheric pressure = 101,325 Pa

The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;

Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure

∴ Pressure due to water  = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure

Pressure due to water, P  = Atmospheric pressure = 101,325 Pa

The depth of water, h = P/(ρ·g)

The density of water, ρ = 997 kg/m³

∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters

The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.

Answer:

P=-2.3662299854

Step-by-step explanation:

6.87p = - 7.056 -9.2

So 6.87p= - 16.256

P=-2.3662299854

Answer:

g(f(2)) = 9

Step-by-step explanation:

Evaluate f(2) and substitute the value obtained into g(x)

f(2) = 2 + 1 = 3 , then

g(3) = 3² = 9

Answer:

9

Step-by-step explanation:

f(x)=x+1........(i)

g(x)= x^2......( ii ).

gf(2)........(III)

substitute f( 2) to ......(I)

f(2)=2+1

f(2)=3

gx=gf(2)

gf(2)= 3^2

=9

Answer:

answer is b

Step-by-step explanation:

got it right on khan

The domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

option B is correct.

Here, we have,

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

For the given function g(x) = √(8x), the function is defined as long as the expression inside the square root (√) is non-negative.

In this case, the expression inside the square root is 8x.

To ensure that it is non-negative, we need 8x ≥ 0.

Solving the inequality, we find:

8x ≥ 0

x ≥ 0/8

x ≥ 0.

Therefore, the domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

To learn more on function click:

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Answer:

YALLLLLLLLL

Step-by-step explanation:heheh okie thats funnie

Answer:

(5, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - 3y = 25

5x + 3y = 10

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

(5,-5)

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x-3y=25

5x+3y=10

and the question asks to solve it by elimination

To solve by elimination, we will add the equations together to clear one variable, solve for the variable that wasn't cleared, then use the value of the variable that wasn't cleared to solve for the variable that was cleared earlier

Before we clear a variable, the coefficients  in front of the variable that we want to clear need to be opposites (ex. if we wanted to clear x, the coefficients of x in the systems have to be -2 and 2, as that would equal 0).

In this case, the coefficients in front of y in the equations are -3 and 3 respectively. That equals 0, so y would be cleared if we added the equations together

so we don't have to multiply or divide by anything prior to clearing

Let's add the equations together. Remember that y will be cleared, as (-3y+3y=0)

2x-3y=25

+

5x+3y=10

______________

7x+0=35

subtract 0 from both sides

7x=35

divide both sides by 7

x=5

we found the value of x

now we need to find the value of y

substitute 5 as x into either one of the equations to solve for y

if we were to do it into 2x-3y=25 for instance,

2(5)-3y=25

multiply

10-3y=25

subtract 10 from both sides

-3y=15

divide both sides by -3

y=-5

So the answer is x=5, y=-5, or as point (5,-5)

Hope this helps! :)

Answer:

h(x) = 3^(x + 1)

Step-by-step explanation:

The exponential function is;

g(x) = 3^(x)

Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;

g(x) = c•b^(x)

In this question, we are told it is stretched by a factor of 3 along the y-axis.

Thus, new function h is;

h(x) = 3 × 3^(x)

Using law of indices, we have;

h(x) = 3^(x + 1)

Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

Answer:

Q1= 31 AND 28

Q2= 26 AND 26

Q3= 24 AND 21

Step-by-step explanation:

Answer: the answer is 8p>38

Step-by-step explanation:

just took test

Answer:

Step-by-step explanation:

-x/8=12+11=23

-x=23*8=184

x=-184

x=-184Answer:

Step-by-step explanation:

Answer:

lâp bảng  

Step-by-step explanation:

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

b,

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

Answer:

Step-by-step explanation:

Given:

Perimeter = 46 cm

Length = 12 cm

To Find:

Width = ?

Solution:

Perimeter of Rectangle = 2( l + b)

We know the value of length

So, we can express this as a linear equation,

[tex]2(l + b) = 46 \\ 2(12 + b) = 46 \\ 24 + 2b = 46 \\ 2b = 46 - 24 \\ 2b = 22 \\ b = \frac{22}{2} \\ b = 11[/tex]

So therfore, the width/breadth of the rectangle is 11.

Answer:

0

Step-by-step explanation:

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-5 - (-5)}{-3 - 10} [/tex]

[tex] m = \dfrac{0}{-13} [/tex]

[tex] m = 0 [/tex]

from -3 to 10 are 13 steps to the right and from -5 to -5 0 steps up or down.

devide the steps up by the steps to the right

0 / 13 = 0

in this case it's obvious, but I hope you see the method how to do this. you would normally get a more interesting fraction as a slope.

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

Answer:

Step-by-step explanation:

The number is divisible by 4 if the number formed by the last two digits is divisible by 4.

Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.

The smallest 2-digit number that is divisible by 4 is 36

Then the largest number is:

Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

To find the same distance away from zero in the opposite direction to determine the opposite number.

The distance from zero in this situation is 9. nine times in the opposite direction from zero.

Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

Learn more about the number line here:

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Answer:he's right

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

{a | a > 4}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\2a + 4 > 12\\-------------\\\rightarrow 2a + 4 - 4 > 12 - 4\\\\\rightarrow 2a > 8\\\\\rightarrow \frac{2a>8}{2}\\\\\rightarrow \boxed{a > 4}\\\\-------------\\\text{This can also be written as: } \boxed{ [a | a > 4] }[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: {a | a >4}

Step-by-step explanation:

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!