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lawyer [7]
3 years ago
13

Describe the location of v150 on a number line. Explain your reasoning.

Mathematics
1 answer:
Romashka [77]3 years ago
4 0
Let 
x-------> √150
so
x²=150

we know that
10²=100
11²=121
12²=144
13²=169
x²=150
so
x< 13
x> 12
12< x<13

<span>the value of x is in the interval (12,13)
</span>
----------*----------------------*----------*--------------*-------------------*------
           11                        12        √150           13                    14
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Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.
BaLLatris [955]
2 times what = -4?
-2 does
-2 x 2 = -4

-4 time what = 8?
Again, -2.
-2 x -4 = 8

You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r^{n-1}
f(1) in this case is 2.
f(n) = 2 • r^{n-1}
r is rate of change, which is -2.
f(n) = 2 • -2^{n-1}
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2^{12-1}
f(12) = 2 • -2^{11}
-2^11 = -2048
2 x -2048 = -4096
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3 0
3 years ago
John has $400. He gave one friend 25% and $158.67 to another friend. How much money does John have left​
sdas [7]

Answer:

$141.33

Step-by-step explanation:

He gave $100 to one fried and 158.67 to another

100+158.67=258.67

5 0
3 years ago
Read 2 more answers
Evaluate: 4+8 / 2 x (6 - 3)
slavikrds [6]

Answer:

16

Step-by-step explanation:

4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16

6 0
3 years ago
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Find the coordinates of the midpoint of the segment with the given endpoints (6,9) and (-6,-1)
Aleksandr [31]
Answer:

(0, 4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint.

4 0
3 years ago
Multiple choice <br> a. 12 pie cm <br> b. 21 pie cm <br> c. 35 pie cm
Karolina [17]

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism  = 452/4 = 113 cm²

The area of the base of the cylinder A_c  = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder,A_c  is given by the following equation;

A_c = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36  = 6 cm

The circumference of the base of the cylinder,C_c  is given by the following equation

C_c = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

7 0
3 years ago
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