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Marianna [84]
3 years ago
7

Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explai

n how Terri could use a graph to solve the equation, find the value of x to the nearest tenth

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0
f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\\\\f(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\\\\the\ graph\ in\ annex

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How to solve fractagons​
Law Incorporation [45]

Answer:

By using cross multiplication

Step-by-step explanation:

7 0
3 years ago
What is the radius of the cone?
gayaneshka [121]

Answer:

r = 6 in

Step-by-step explanation:

V = \pi r^{2} \frac{h}{3} = 216\pi

r²h/3 = 216

r² (18/3) = 6 r² = 216

r² = 216/6 = 36

r = 6

3 0
3 years ago
In a hospital there are 56 TB patients. The patients are grouped with respect to their ages.
zalisa [80]
<span>Table:

Class Boundaries         Frequency

5-10                              8

10-15                            9

15-20                          15

20-25                          10

25-30                           8

30-35                           6
                                ----------
total                           56

Average =

[5+10]/2*8+[10+15]/2*9+[15+20]/2*15+[20+25]/2*10+[25+30]/2*8+[30+35]/2*6
---------------------------------------------------------------------------------------------------
</span>                                                      56

That is 1075 / 56 = 19.2

Answer: 19

5 0
4 years ago
A cylinder has a radius of 20 cm and a height of 2 cm. Find the height of another cylinder that has a radius of 4 cm and the sam
iogann1982 [59]

Answer:

The height of the another cylinder 'h'  = 7

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step 1:-</u>

Surface area of the cylinder  = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

                                                          = 2п(20)(2)+2п(2)^2

                                                          = 4п(20+2)

The surface area of first cylinder is  88п

<u>Step 2</u>:

given data The surface area of first cylinder is  88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder  = 2пrh + 2пr^2 = 88п

                                                   2п(4)h+2п(4)^2 =88п

on simplification we get

                                   2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

                                    4h+16 = 44

                                    4h = 44-16

                                  4h = 28

                                 h=7

Therefore the height of the another cylinder is 'h' =7

                                   

3 0
4 years ago
Two times antonio's age plus three times Sarah's age equals 34. Sarah age is also five times antonio's age . How old is Sarah?
Sergio039 [100]
Let Sarah's age be s and Antonio's age be a.

According to your question,

2a + 3s = 34
s = 5a

substituting the value of s in eq. 1,

2a + 3(5a) = 34

= 2a + 15 a = 34

17a = 34

thus, a = 34/17 = 2

substituting the value of a is s,

s = 5(2)
= 10

Thus, Sarah's age is 10 years and Antonio's age is 2 years.
6 0
3 years ago
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