The table shows the distance, in feet, a ball travels t seconds after being dropped from a 980-foot building. The equation d(t) = 9.8t2 models the function shown in the table. What are the restricted domain and range of the function? D = {0, 2, 4, 6, 8} and R = {0, 39.2, 156.8, 352.8, 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 980} D = {0 ≤ t ≤ 10} and R = {0 ≤ d(t) ≤ 980}

The solution to the inequality will be x ≥ 7. The correct option is B.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality (x-3) 1/2+2 ≥4 will be solved as below:-

(x-3) 1/2+2 ≥4

( x / 2 ) - ( 3 / 2 ) + 2 ≥ 4

( x - 3 ) / 2 + 2 ≥ 4

( x - 3 ) / 2 + 2 ≥ 4

( x - 3 ) + 4  ≥ 8

x + 1  ≥ 8

x ≥ 8 - 1

x ≥ 7

Therefore, the solution to the inequality will be x ≥ 7. The correct option is B.

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Answer:

70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you

Step-by-step explanation:

Answer:

154 dollary doooos

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of people.

13x = 52

The value of f(5) for each function provided in the reference picture attached hereby with the question statement are as follows:

13. f(5) = 21

14. f(5) = -12

15. f(5) = 20

16. f(5) = (-1/2)

17. f(5) = (-9)

18. f(5) = 4

As per the reference picture attached hereby with the question statement, we are provided with 6 functions.

We are required to find the value of f(5) for each function.

To solve this question, we simply have to replace the the variable of individual functions with 5 and then, perform the operations as per the function to obtain our desired answer.

Starting with [tex][f(x)=6+3x][/tex], substituting (x = 5) in the equation, we will get,

[tex]f(5)=6+(3*5)\\or, f(5)=6+15\\or,f(5)=21[/tex]

Substituting (x = 5) in the second function [tex][f(x)=-2(x+1)][/tex], we get,

[tex]f(5)=-2(5+1)\\or, f(5)=-2(6)\\or,f(5)=-(2*6)\\or, (5)=-12[/tex]

Substituting (x = 5) in the third function [tex]f(a)=[3(a+2)-1][/tex], we get,

[tex]f(5)=[3(5+2)-1]\\or, f(5)=[(3*7)-1]\\or,f(5)=(21-1)\\or,f(5)=20[/tex]

Substituting (x = 5) in the fourth function [tex][f(h)=(\frac{-h}{10})][/tex], we get,

[tex]f(5)=(\frac{-5}{10})\\ or,f(5)=\frac{-1}{2}[/tex]

Substituting (x = 5) in the fifth function [tex]f(m)=[1-4(\frac{m}{10})][/tex], we get,

[tex]f(5)=[1-4(\frac{5}{2})]\\ or,f(5)=[1-(\frac{4*5}{2})]\\ or, f(5)=[1-(2*5)]\\or,f(5)=(1-10)\\or,f(5)=(-9)[/tex]

Finally substituting (x = 5) in the last function [tex]f(m)=[2(m-3)][/tex], we get,

[tex]f(5)=[2(5-3)]\\or,f(5)=(2*2)\\or,f(5)=4[/tex]

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The length of the shorter piece is 52 inches.

A 208 inch pipe is cut into two pieces one piece is three times the length of the other .

let

the shorter length piece = x

Therefore,

length of the longer piece = 3x

The length of the shorter piece can be calculated as follows:

x + 3x = 208

4x = 208

divide both sides by 4

4x / 4 = 208 / 4

x = 52

Therefore, the length of the shorter piece is 52 inches.

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Answer: y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x +

Step-by-step explanation: 8, -1)

Answer:

5x=20

Step-by-step explanation:

Kaitlyn was 4 days late. You substitute X for 4 and then multiply. Since it's $5 for each day late, and she turned it in 4 days late, the total fee is $20.

Answer:

pentagram lookin symbol its c btw

Step-by-step explanation:

Answer:

[tex]\frac{3}{t}[/tex]

Step-by-step explanation:

[tex]\frac{32}{9t}[/tex] - [tex]\frac{5}{9t}[/tex]  Since we have a common denominator, we just subtract 5 from 32

[tex]\frac{27}{9t}[/tex]  I can simplify by dividing the top and bottom number by 9

[tex]\frac{3}{t}[/tex]

Answer:

C) (-1,2)

Step-by-step explanation:

I got it right on edg 2020

Answer:

(-1,2)

Step-by-step explanation:

edge

Answer:

F(k + 4) = k - 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = -2x + 3x - 8

F(k + 4) is x = k + 4

Step 2: Find F(k + 4)

Answer: 2  4/5,  3  2/3,  5  2/3,  2  1/2,  3  1/3   part2; 9/2,  49/5,

Step-by-step explanation:

Answer:

C(t) = -0.8t - 3

Step-by-step explanation:

We are told that the temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m.

Thus, difference in temperature is;

ΔT = -8.6°C - (-4.2°C)

ΔT = -8.6°C + 4.2°C

ΔT = -4.4°C

Now, number of hours between 1:30 a.m and 7:00 a.m is 5.5 hours.

Thus, average temperature per hour is;

-4.4/5.5 = -0.8°C/h

Now, since C is represented as a linear function of the number of hours after midnight, t.

Then the linear function is -0.8t + x = C(t)

Let's find x.

After 1.5 hours, we have -4.2°C. Thus;

-0.8t + x = -4.2

-0.8(1.5) + x = - 4.2

-1.2 + x = -4.2

x = -4.2 + 1.2

x = -3

Thus, the linear relationship is now;

C(t) = -0.8t - 3

Answer:

The third one :)                          

Step-by-step explanation:

The experiment will be completed in 4days + 12hours + 17min .

In the given question

The experiment was started  2days + 14hours + 30min    ago

It will take    1day + 21hours + 47min    more to complete the experiment .

The total time taken to run the experiment is

= (2days + 14hours + 30 min) + (1day + 21hours + 47min)

On adding the like terms we get

= (2+1)days + (14+21)hours + (30+47)min

=3 days + 35hours + 77min     ...(i)

We know that

24 hours = 1 day

So , 35hours can be written as 24hours + 11hours.

35hours = 24hours + 11hours   ...(ii)

We also know that

60 min = 1hour

So , 77min can be written as 1hour + 17min  

77min = 60min + 17min

77min = 1hour + 17min   ...(iii)

Substituting the value of equation (ii) and (iii) in (i) we get ,

Total time = 3 days + 24hours + 11hours + 1hour + 17min

=3 days + 1day + 11hours + 1hour + 17min              ...(as 24hours = 1day )

On adding the like terms we get

= 4days + 12hours + 17min

Therefore , the experiment will be completed in 4days + 12hours + 17min  .

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Answer:

x=14.08

Step-by-step explanation:

Answer:

80% of the batch is water.

Step-by-step explanation:

If 1/5 of the batch is concentrate, that leaves 4/5 of the batch being water. 4/5 simplifies out to .8, which is 80%.

Answer:I think you mean 2 over 12 if so its 1/6

Step-by-step explanation:

you must simplify you divide  both of them by numbes they are divisblle by

Answer:

Rs57,000

Step-by-step explanation:

If its value depreciates at 5%p.a then only 95% of the original value(100%) is left.

Therefore its value=95/100×Rs60000=Rs57,000

Answer:

yes

Step-by-step explanation:

...

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  [tex]\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]

                             [tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]

                             [tex]=\left|-8-1\right|[/tex]

                             [tex]=\left|-9\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]

                             [tex]=9[/tex]        

Thus,

(gof) (4) = 9

Hence, option A is true.

Answer:

Rotation of 270 degrees counterclockwise about the origin

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

they are all being multiplied by 5.

Answer:

Y = 5x

Step-by-step explanation: It is that because they are multiplying everything by 5.

Answer:

y is B. 82 degrees (and for extra, x is 54 degrees)

Step-by-step explanation:

The angles shown are complementary, which means they equal 180 degrees. Subtract 73 from 180 to get 107 degrees for the other angle in this set. After that subtract 25 from 107 to get y, which is 82 degrees.

(For x, just subtract 19 from 73 to get 54 degrees.)

Answer:

y= 35x + 8

Step-by-step explanation:

the $35 is an hourly charge so it goes with x and the $8 is a one time charge so it just gets added on

The required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.​

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given that a fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat.

According to the given situation, we can write the function as:

⇒  y = 35x + 8

Here the $35 is an hourly rate, so it corresponds to x, and the $8 is a one-time charge, so it is simply put on.

Therefore, the required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.​

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Given that,

The diameter of a semicircle is 2 mm.

To find,

The area of the semicircle.

Solution,

Radius of semicircle, r = 1 mm

The area of a semicircle is given by the formula as follow :

[tex]A=\dfrac{\pi r^2}{2}\\\\=\dfrac{3.14\times (1)}{2}\\\\=1.57\ \text{mm}^2[/tex]

So, the area of the semicircle is [tex]1.57\ \text{mm}^2[/tex].

Answer:

6ox5 i hope its ok and if you tink and want you can give me a brainly crown

Step-by-step explanation: