The time it takes for an object dropped from a height to reach the ground is given by the function time (in seconds) =(1/4)√h where h is the initial height in feet. If an object dropped from a building takes 4 seconds to reach the ground what is height of the object was dropped from, to the nearest foot?

Answer:

[tex]219456[/tex]

Step-by-step explanation:

It must end in [tex]0,2,4,6,8[/tex] (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).

The digit sum is [tex]2+A+9+4+5+B=20+A+B[/tex].

We want to make [tex]A[/tex] as low as possible because it's a higher digit than [tex]B[/tex].

If [tex]A[/tex] is as low as possible, we have that the sum is [tex]20+0+7=27[/tex]. Uh-oh. [tex]B[/tex] has to be even! So [tex]A=0[/tex] doesn't work.

If [tex]A=1[/tex], we have that the sum is [tex]20+1+6=27[/tex]. Yay!

So, the answer is [tex]\boxed{219456}[/tex]

Answer:

Step-by-step explanation:

La palabra trémula es esdrújula porque la sílaba tónica es la antepenúltima sílaba. Las palabras esdrújulas siempre llevan tilde (acento ortográfico).

Answer:

The fraction for 0.455555... is 41/90.

Step-by-step explanation:

Hope this helps!

Answer:

NO

Step-by-step explanation:

25 hours is 5 days is the same as 5 hours per day.  25 ÷ 5 = 5

8 hours in 2 days is the same as 4 hours per day.   8 ÷ 2 = 4

Answer:

[tex]2x^{3} -11x^{2} +18x-9[/tex]

Step-by-step explanation:

use foil thn combine like terms

Answer:

An upward trend

Step-by-step explanation:

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

We have,

A positive correlation means that as one variable increases, the other variable tends to increase as well.

In other words, there is a positive relationship between the two variables being plotted on the graph.

Positive correlation is often represented by a line that slopes upward from left to right on a scatter plot or graph.

Thus,

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

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Answer:

Step-by-step explanation:

12) f(x) = 3x

y = 3x

x = 3y

x/3 = y

13) f(x) = 4x-10

y = 4x - 10

x = 4y - 10 (isolate y)

(x+10)/4 = y

The required inverse function would be f⁻¹(x) = x / 3.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

f(x) = 3x

So after switching x and y,

Now, we solve for y regularly.

f(x) = x = 3y

Solve for y :

⇒ x = 3y

⇒ x / 3 = y

⇒ y = x / 3 = f⁻¹(x)

Therefore, the required inverse function would be f⁻¹(x) = x / 3.

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Complete question is ;

Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.

Answer:

it can mean that on a graph where y=0 and x=5 that the line goes through that point or I can just mean in an equation that if y is 0, then x is 5

Answer:

b. 8×+3=35

Step-by-step explanation:

is the answer

Answer:

c

Step-by-step explanation:

other statements are false

Answer:

B

Step-by-step explanation:

X is 5 and y is -3, so y is x minus 8, which is y=x-8

Answer:

i think the answer is 15

Step-by-step explanation:

four $20 bills would equal $80

$80- $44 because of materials gives you $36

$36 divided by 2.50 equals 15

i hope this makes sense :)

y = 6/5x - 1

hope this helps :) !!

Answer:

[tex]y = \frac{6}{5}x - 1[/tex]

Step-by-step explanation:

use the formula

[tex]y = mx + b[/tex]

m is the slope and b is the y-intercept. Begin with b, where the line crosses the y-axis (vertical axis). It crosses at -1, so this is b.

Next move with m. Do rise/run. Start at the y-intercept and you are going to rise 6 and run 5 to the next point. So the slope is 6/5. Leave as an improper fraction. Plug-in for m. Since the line goes uphill from left to right it has a positive slope.

Answer:

1.  16 ft

[tex]\sf 2.\quad \dfrac{29}{99}[/tex]

Step-by-step explanation:

Formula

Area of a square = s²  (where s is the side length)

Given:

Substitute the given area into the formula and solve for s:

[tex]\sf \implies 256=s^2[/tex]

[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]

[tex]\sf \implies s=\pm 16[/tex]

As distance is positive, the length of one side of Keisha's kitchen is 16 ft.

Converting a recurring decimal to a fraction

Let x equal the recurring decimal:

[tex]\implies \sf x=0.292929...[/tex]

Create another number with recurring 29s by multiplying the above by 100:

[tex]\implies \sf 100x=29.292929...[/tex]

To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:

[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]

Therefore:

[tex]\implies \sf 99x=29[/tex]

[tex]\implies \sf x=\dfrac{29}{99}[/tex]

Therefore:

[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]

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Answer:

4

Step-by-step explanation:

Answer:

4 cubic decimeters.

....

Answer:

Width = 6

Length = 7

Step-by-step explanation:

Consecutive integers: x and x+1

2x + 2(x+1) = 26

2x +2x + 2 = 26

4x = 26 - 2

x = 24/4

x = 6

Answer:

ax - b = x

    +b   +b

ax/a = c/a  

     d=x

Step-by-step explanation:

There are no numbers so I can't give a specific answer so I substituted numbers with letters :)

Answer:

Since +P looks to be 7, -P would be -7

Hope this helps :)

Answer:

-7

Step-by-step explanation:

P is a variable, and P can only have 1 value. Thanks to the number line, we know what this value is. P is positive 7. If we know that the set value of P is positive 7, then we can just treat it like it is positive 7.

P - 5 = 2

P + 3 = 10

So putting a negative sign in front of P will mean it will be

- (7)

Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

Answer:

265 quarters ($66.25)

Step-by-step explanation:

10$ in quarters is 250 quarters.

you subtract the 15 from winning (=235), then add 50 for the jackpot (=285). Subtract another 20 for her final plays (=265).

Answer:

-0.20412414523 there you go

Answer:

D

Step-by-step explanation:

x=8*cos(34°)=6.632≈6.6

[tex]6 - \sqrt{ \frac{25}{4} } \\ = 6 - \frac{5}{2} \\ = \frac{12 - 5}{2} \\ = \frac{7}{2} \\ = 3.5[/tex]

Answer:

Yes They are Parallel.

Step-by-step explanation:

The required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

Given that,

Suppose another line for a chair lift is placed at a constant distance c below the gondola line. the equation of the new line and is the line parallel to the hill is to be discussed.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The required new line is placed at a constant distance c below the gondola line,
If the line has a constant distance from the other line that implies that the line is parallel, and the equation of the line is given as,
y = ax + c

Thus, the required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

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Answer:

Wooden popsicles, Tissues.,glassbottles, juice cans, paper cups