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fgiga [73]
2 years ago
7

Sir Isaac Newton wrote the equation (d=1/2 gt^2 to determine the distance (d), in meters, an object falls in a given amount of t

ime (t), in seconds. If an object falls for 8 seconds, what is the distance, in meters, it falls?
A. 4g
B. 8g
C. 16g
D. 32g
Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

D) 32g

Step-by-step explanation:

\displaystyle d=\frac{1}{2}gt^2\\\\d=\frac{1}{2}g(8)^2\\\\d=32g

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Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
vovikov84 [41]

The option are missing in the question. The options are :

A.  P = 2, a = 1

B.  $P=\frac{1}{2} ;  a =\frac{1}{3}$

C. $P=\frac{1}{2} ;  a =1$

D. P = 2, a = 3

Solution :

The given function is $f(x)= Pa^x$

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since $2(1^x)=2$

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. $f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

  $f(x)=2(3)^x$

Therefore, option (D). represents an exponential function.

4 0
2 years ago
Can someone please help me find the area of this polygon, thank you!
Amanda [17]

Answer:

<h2>270 ft²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

<em>Look at the picture</em>

We can divide a given polygon into three rectangles:

21ft\ \times\ 10ft,\ 4ft\ \times\ 6ft,\ 6ft\ \times\ 6ft

The formula of an area of a rectangle <em>l × w </em>:

A=l\cdot w

Calculate the area of ​​each of the rectangles:

A_1=(21)(10)=210\ ft^2\\\\A_2=(4)(6)=24\ ft^2\\\\A_3=(6)(6)=36\ ft^2

The area of the given polygon:

A=A_1+A_2+A_3\\\\A=210+24+36=270\ ft^2

<h3 /><h3>METHOD 2:</h3>

<em>Look at the second picture</em>.

We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):

A_S=(11)(6)=66\ ft^2\\\\A_L=(21)(16)=336\ ft^2\\\\A=A_L-A_S\to A=336-66=270\ ft^2

7 0
3 years ago
Kyle wants to put fencing around his rectangular shaped yard. The length is 12.5 feet and the width is 8.4 feet. How much fencin
Kay [80]

Answer:

20.9

Step-by-step explanation:

The length and width would be 20.9 if you add then divide the formula give its different sometimes

3 0
2 years ago
Is (-5, 8)a solution for y-2x&gt;17?
Gnoma [55]
You can plug in the numbers to check.
Y - 2x > 17
(8) -2(-5) > 17
8 + 10 > 17
18 > 17
This is true so
Final answer:
Yes, (-5,8) is a solution
7 0
2 years ago
How many sixteenths are in 15/16?
klasskru [66]
The answer is 15.

One-sixteenths is 1/16. Let's rewrite 15/16:

15/16 = (15 * 1) / 16 = 15 * 1/16

So, it is 15 times of one-sixteenths, or in other words 15 <span>sixteenths.</span>
5 0
3 years ago
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