Answer:
1) 13x + 3
2) 2x
3) 6a -7b -4c
Step-by-step explanation: If its wrong; Just know its not far away from right. :()
Answer:
23rd term of the arithmetic sequence is 118.
Step-by-step explanation:
In this question we have been given first term a1 = 8 and 9th term a9 = 48
we have to find the 23rd term of this arithmetic sequence.
Since in an arithmetic sequence
here a = first term
n = number of term
d = common difference
since 9th term a9 = 48
48 = 8 + (9-1)d
8d = 48 - 8 = 40
d = 40/8 = 5
Now
= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118
Therefore 23rd term of the sequence is 118.
2
4
35
70
The total number of students who preferred apples than cherries are 70 if the two hundred students were surveyed about their favorite fruit option, fourth is correct.
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
From the diagram, we can see the total 35% students preferred apples.
Total number of students = 200
The number of students who preferred apples than cherries = 200×35%
= 200(35/100)
= 2(35)
= 70
Thus, the total number of students who preferred apples than cherries are 70 if the two hundred students were surveyed about their favorite fruit option fourth is correct.
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Answer:
The answer is 4.
Step-by-step explanation:
I believe that, if I'm correct, 2 students are equal to 1%. 2 x 35 = 70. 2 x 33 = 66. 70 - 66 = 4 more students. I hope this is correct.
B. 21
C. 0
D. -3
Answer:
f(-3) = 15,111111
Step-by-step explanation:
In order to find out f(-3), we need to substitute x with -3.
Since f(x)= x^-2 - 4x + 3,
f(-3) = (-3)^-2 -4(-3) + 3
f(-3) = 1/9 + 12 + 3
f(-3) = (1 + 108 + 27) / 9
f(-3) = 136 / 9
f(-3) = 15,111111
Answer:
9
Step-by-step explanation:
|6|+|-3|=9
The minimum number of sides that the polygon at the base of the prism must have is 4.
"It is the plane figure in geometry that has three or more sides and angles in a finite straight line."
For given question,
The plane intersects a prism to form a cross section that is a polygon with 5 sides.
This means, the original shape needs to have less than 5 sides.
A prism, is a three-dimensional geometric shape, so it can't have a 2 sided shape.
So, there're two choices of sides.
i.e., either 3 sides or 4 sides
A 3 sides shape is a triangle, which also can't be cut into a 5 sided prism.
Hence, the minimum number of sides that the polygon at the base of the prism must have is 4.
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