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Goshia [24]
3 years ago
7

What is the numerical value of the following

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0
1) 1

2)
{4}^{ - 3}  =  \frac{1}{64}
3)
{ - 5}^{3}  =  - 125
4)
{ \frac{4}{5} }^{3}  =  \frac{64}{125}
5) 3² × 3³ = 9 x 27 = 243

6)
{7}^{5}  \div  {7}^{2}  =  {7}^{3 }  = 343
7)
( {1}^{3} )^{4}  = 1
8)
{3}^{3}  \div  {3}^{5}  =  {3}^{ - 2}  =  \frac{1}{9}
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
dalvyx [7]

Answer:

The answer is 2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Enter a range of values for x.<br> 85°<br> 25<br> 5x - 10<br> [ ? ] Enter
Nataly_w [17]
<h3>Answer: 2 < x < 7</h3>

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

3 0
4 years ago
HELP ME!!!!!!!!!!!!!!!!!!!!111
Vlad1618 [11]

Answer:

-40

Step-by-step explanation:

(-40) divided by 5 is (-8)

4 0
3 years ago
Read 2 more answers
Please help me as soon as possible
Vikentia [17]
The formula of the Lateral Area of a cylinder is:
Lateral Area = 2\pirh
                     =2\pi(12)(60)          (altitude is 5×radius)
                                                                           (5×12=60)
                     =4523.9 mm² ≈ 4524 m²

Answer is D. 4524 m²
8 0
3 years ago
An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and
Vsevolod [243]

Answers:

a = 2

b = 3

=======================================================

Explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x

7 0
3 years ago
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