The values of x that makes the inequality true are all values less than -5
<h3>Inequality expressions</h3>
Given the inequalities below expressed as;
4x-1 < 6x+9
Collect the like terms
4x-6x < 9+1
-2x < 10
x <-10/2
<h3>x < -5</h3>
Hence the values of x that makes the inequality true are all values less than -5
Learn more on inequality here; brainly.com/question/24372553
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Answer:
(1)
(2)
If we divide equations (2) and (1) we got:
And then 
And then we can find the value 
and we got from equation (1)
And then the general term for the sequence would be given by:
And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:
For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:
And then
And then we can find the value and we got from equation (1)
And then the general term for the sequence would be given by:
And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Answer:
.99815
which is about
99.815%
Step-by-step explanation:
we are looking for 35<x<77
We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing
What we do is subtract the mean and then divide by the standard deviation
so for 35 we have
(35-56)/7= -3.29
due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)
to find p(3.29) grab a ztable and get p(3.29)= .9995
1-.9995= .0005
For 77 we have
(77-56)/7=3
grab a ztable and find the 3= .99865
Finally subtract these two to get the final answer
.99865-.0005= .99815
Answer:
10859.94
Step-by-step explanation:
To solve this, you need to know the formula for solving the area of a circle: πr²
The first thing you should do is find the area of the square: 78 x 78 = 6084
Then, we find the area of the circle. To do this, we must figure out the radius. Luckily, the problem states that the combined diameter of both half circles is 78, which means the radius is 39. Then, we can apply the formula: π39².
39² = 1521
1521 x 3.14 = 4775.94
This is the combined area of both half circles.
Finally, we have to add: 4775.94 + 6084 = 10859.94
2x16
4x8
And of course 1x32
