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Elan Coil [88]
3 years ago
13

35 of 39

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Step-by-step explanation:

5x 3 1/2 = 3 x 5 1/2 is false

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Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distan
notka56 [123]

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at (2\frac{2}{3}, 7\frac{1}{3})

Store is located at (-1\frac{1}{3},7\frac{1}3})

We can find distance between two points by using distance formula.

S = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = \sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2

S = \sqrt(\frac{8}{3}+\frac{4}{3}+0

S = \sqrt{(\frac{8+4}{3})^2

S = \sqrt{(\frac{12}{4})^2

S = \sqrt{(4)^2

S = 4 units

Hence,

Option A: 4 units is the correct answer.

7 0
3 years ago
How to solve this problem
lorasvet [3.4K]
14) (9.1*10^-5)^-6=9.1*10^-9

15) (2.19*10^4)^-6=2.19*10^-2
4 0
4 years ago
K=1; f(x)=4x^3-2x^2+2x+4; Lower bound?
photoshop1234 [79]
Given:
f(x) = 4x^{3} - 2x^{2} + 2x + 4
and,
K = 1

We would require to do the synthetic division of the above problem in order to know whether K=1 is a lower bound or not. Let's do it!

Steps of Synthetic Division:

1. Write the coefficients of the equation, and before that write 1. Like,

1 ║ 4   -2   2   4

As you can see, the coefficients of the equation are seperated by ║.

2. Drop down the first value after ║as it is. Like:
1 ║ 4   -2   2   4
        :
----------------------
       4

3. Multiply 4 with 1 and then  place the resultant value under -2 and then add that resultant value with -2. Like
1 ║ 4   -2   2   4
        :    4
----------------------
       4   2

4. Repeat Step 3 until you're done.

1 ║ 4   -2   2   4
        :    4   2   
----------------------
       4   2    4   

1 ║ 4   -2   2   4
        :    4   2   4
----------------------
       4   2    4   8


Now every value, +4, +2, +4, +8, under the bar(---------) is positive; therefore, it means that K=1 is the upper bound, NOT lower bound.

Ans: K=1 is NOT a lower bound.
-i
4 0
3 years ago
Please<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%
Nana76 [90]
Hi there!
We are given the function - 
\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}
and are told to find the limit of the function. 
The limit would be n approaches infinity, giving us an answer of -1. 
Here is how you solve this:
\frac{(n+1)!}{n!-(n+1)!}
Divide by (n + 1)! - 
\frac{1}{\frac{1}{n+1}-1 }
Now, we can refine the function - 
\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }
Now, just simplify. This gives us - 
\lim_{n \to \infty} (1)
We can use the rule \lim_{x \to a}c=c to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!


3 0
3 years ago
Doreen lives 3/4 miles from the library. If Sheila lives 1/2 as far away as Doreen, which statement is true?
Lena [83]

Answer:

A. Sheila lives closer to the library

Step-by-step explanation:

8 0
4 years ago
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