Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=

The balloon was flying at a height of 176.58 m .

The fundamentals of an object's motion, such as its position, velocity, or acceleration over time, are defined by kinematics equations of motion. An object's motion in one, two, and three dimensions is determined by these three equations of motion. One of three equations of motion can be used to calculate components like displacement (s), velocity (initial and final), time (t), and acceleration (a). The following are the three motion equations:

Initial formula: v = u + at

The second formula is s = ut + 0.5at2.

The third formula is v2 = u2 + 2as.

Let t stand for the duration of the metal bat's flight, s for the height at which the hot air balloon was traveling, and u for the metal bat's initial vertical velocity since it is simply dropped.

Given: The metal bat took 6 seconds to reach the ground.

With t = 12 and u = 0, the second equation of motion gives us s = 0*t + 0.5*9.81*162 = 176.58 m.

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For this problem we use the formula for compund interest and substitute the 5.5% of interest annually and the initial deposit of $300:

Answer: first option.

Answer:

[tex] \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } [/tex]

Step-by-step explanation:

[tex] {14}^{ - 1} = \frac{1}{14} [/tex]

[tex] {b}^{ - 2} = \frac{1}{ {b}^{2} } [/tex]

[tex] \frac{ {14}^{ - 1} {a}^{3} {b}^{ - 2} }{ {c}^{4} } = \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } [/tex]

Answer:

One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds

one half times the quantity 20 minus y equals two thirds

one half times y minus 20 equals two thirds

one half times 20 minus y equals two thirds

0.5(20 - y) = 2/3

One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]

One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3

One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3

One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3

One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3

The radius of the given sphere will be 9/π.

So, the formula for the volume of a sphere: V = 4/3πr³

Volume is 972, then the radius will be:

Therefore, the radius of the given sphere will be 9/π.

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UV = 11 and TV = 41

A line segment has two fixed end points in a line. The length of the line segment is the distance between two fixed points. The length can be measured by units such as centimeters, millimeters, feet or inches

The points on a line are matched one to one with the real numbers in ruler postulate.  Coordinate of the point is the real number that corresponds to a point. The distance between points A and B (AB) is equal to the difference of the coordinates of A and B.

As given,

TU = 16, UV = x+4  and TV = 8x -15

TU + UV = TV

16 + x+4 = 8x -15

16 + 4 +1 5 = 8x - x

35 = 7x

x = 35/5

x= 7

We can find UV = x + 4 by substituting the value of x

= 7 +4

= 11

and TV = 8x - 15

= (8*7) - 15

=56 - 15

=41

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Answer:

y=-4x+10

Step-by-step explanation:

-2= -4(3)+b

-2=-12+b

-10=b

Answer:

Step-by-step explanation:

As you see the picture the number is 1.249

step 1

As you know before decimal the digits are said to be ones,tens, hundred so on and starts from left to right.

But after decimal it goes right to left and they are said ones,tenth,hundredth

step 2

so here it says 1 decimal place means ones means one digit after dot or point so its 2

The number rounded off to 1 decimal place is 1.2

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.

Given here, the number is 1.249 and thus the number rounded upto 2 decimal place is 1.25 and further rounding up the number to one decimal place we get 1.2

Hence, the number rounded upto one decimal place is 1.2

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Answer:

39$

Step-by-step explanation:

if the tax is 6 dollars 6 goes into 21 3 times making 18 add 18 to 21 and that is your answer.

The change in temperature based on the time and the temperature given is 0.

It should be noted that temperature simply means the degree of coldness and hotness of a particular body.

In this case, we want to calculate the overall change in temperature when the temperature is 10 degrees fahrenheit at 9:00 am and 10 degrees fahrenheit at 6:00 pm.

Therefore, the change will be the subtraction of the values given. This will be:

= 10°F - 10°F

= 0

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The values of indicated function are-

For the given question;

For finding the values of the function, see the values for y axis with respect to the given values of x from the graph.

a: f(-4), input value is (-4), output on y axis is 6.

f(-4) = 6.

b: f(0), input value is (0), output on y axis is -6.

f(0) = -6.

c: f(1), input value is (1), output on y axis is -4.

f(1) = -4.

Thus, the range for the state functions are obtained.

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58

Step-by-step explanation:

sum of angle inside a triangle is equal to 180

plus 90 and 32 you get 122 now subtract 180 and 122 the answer will be 58

The surface area of the given pyramid is equivalent to 108 square inches.

The surface area of a figure is the sum of the area of the surfaces of such figure.

The given pyramid is made up of 4 triangles and a square base.

Surface area = Area of square + 4(area of triangle)

Surface area = (6 * 6) + 4(1/2 * 6 * 6)

Surface area = 36 + 4(18)

Surface area  = 36 + 72

Surface area = 108 square inches

Hence the surface area of the square based pyramid is 108 square inches

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Answer: Option 4

Step-by-step explanation:

Given:

a.) Each small box of paper weighs 50 pounds.

b.) Each large box of paper weighs 80 pounds.

c.) There were 4 more large boxes shipped than small boxes.

d.) The total weight was 1750 pounds.

Since the scenario is involving two types of boxes, we will be using two variables to represent each of them.

Let,

x = the total number of the small box of paper

y = the total number of the large box of paper

Let's now generate the system of equations that we will be using to able to solve the problem.

1st relationship: There were 4 more large boxes shipped than small boxes.

Putting this into equation, we get:

2nd relationship: The total weight was 1750 pounds.

For us to get the total weight, we will be adding the sum of the number of each box by the weight each box has.

We get,

In summary:

Let x = the total number of the small box of paper

Let y = the total number of the large box of paper

System of equations:

a.) y = x + 4

b.) 50x + 80y = 1750

Answer: 25?

Step-by-step explanation:

the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.

Pastels weekly salary includes base pay plus commission of his sales.

the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars.

find pastels salary in dollars for a week when his sales were 0$

the model is given as

s=700+0.07c

let us solve for c, the sales made

s =700 +0.07c given sales is 0$

then s=700

Hence , the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.

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Based on the amount that the streaming service could charge per month and the margin of error, the least amount of monthly revenue that would be reasonably expected is $43,500

First, find the revenue of the new streaming service at its least amount:

= Charge for the month - margin of error

= 45 - 1.5

= $43.50

The least revenue the company can expected then is:

= Least revenue from streaming service x number who signed up for ther service

= 43.50 x 1,000

= $43,500

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Answer:456

Step-by-step explanation:

First you grab the crabby patty formula and then you decide that by 3 multiply it by 6 then after all of that you do the equation 64%78+4637=456 so that’s how I got my answer.

The anti derivative of the function eˣ² is eˣ²/2x.

The given function is;  eˣ².

To find the anti derivative of the function, integrate the function with respect to x.

Let y = eˣ²

Integration of exponential function remains same but applying the chain rule, the derivative of the power of exponent comes at the denominator.

∫y. dx = ∫eˣ² .dx.

∫eˣ² .dx. = eˣ²/(d/dx)x²

∫eˣ² .dx. =  eˣ²/2x

Thus, the anti derivative of the function is found as eˣ²/2x.

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Answers-  D) 4.4π  &  Area-44

1. To solve the first equation we must use the equation for find Circumfrence C=2πr. Our r is 2.2 so our equation would look as C= 2π2.2. Since 2 and 2.2 are whole numbers we can multiply them by one another and that gives us 4.4. So our final answer would be C= 4.4π or D)

2. The best way to solve for our area would be to cut the shapes straight down the middle. Now the two shapes will be 7x4 and 4x4. 7x4 is 28 and 4x4 is 16. To get our final answer we would add 28 and 16, which is 44. To show this one your work draw a line going straight down to cut the shapes into a square and a rectangle. (view source)  

HOPE THIS HELPS GOOD LUCK!!

Distributive property, Subtraction property of equality, and Division property of equality had been used respectively according to the blanks provided.

First is distributive property, which states that if the equation is complex it needs to be simplified. The distributive property uses the PEMDAS rule which is the priority sequence in which the equation needs to be solved.

P stands for Parentheses, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction.

Second is the subtraction property of equality, which states the same number could be subtracted from both the side which is left-hand side and the right-hand side to solve an equation.

And the last is the division property of equality, which states the same number could be divided from both the side which is left-hand side and the right-hand side to solve an equation.

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The average length of time taken to find a full-time job is 16 and the standard deviation is 10.51.

Total Population = N = 18

Data is given below

[tex]x_{i}[/tex]    6  12  21  15  8  4  6  13  16  30  7  24  10  48  15  14  14  25

Mean = μ = ( ∑ [tex]x_{i}[/tex] ) / N

μ =  ( 6 + 12 + 21 + 15 + 8 + 4 + 6 + 13 + 16 + 30 + 7 + 24 + 10 + 48 + 15 + 14 + 14 + 25 )/18

μ = 288/18 = 16

Mean = μ = 16

[tex]x_{i}[/tex]              6     12   21 15  8    4    6    13  16  30   7     24  10    48   15  14 14  25

([tex]x_{i}[/tex] - μ)^2   100  16  25  1  64  144 100  9   0  196  121  64  36  1024  1    4  4   81

∑([tex]x_{i}[/tex] - μ)^2  = 100 + 16 + 25 + 1 + 64 + 144 + 100 + 9 +  0 + 196 + 121 + 64 + 36  + 1024 + 1  +  4 + 4  + 81  = 1990

Standard Deviation =√ (∑([tex]x_{i}[/tex] - μ)^2 / N )

Standard Deviation =[tex]\sqrt{1990/18}[/tex] = 10.5145 = 10.51

Thus, the standard deviation is 10.51 and the average length of time taken to find a full-time job is 16 .

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