Find m]KI.
А
80°
B
100°
С
160°
D
2800

Answer:

Step-by-step explanation:

They are testing whether you remember the basic 30,60,90 degree triangle side relationship. The ratio of sides for this triangle are 1 opposite the 30 degree angle, square root of three opposite the 60 degree angle and a hypotenuse of 2 opposite the 90 degree angle.

x/2=2/1

x=4/1=4

bottom answer choice

x/4=3^(1/2)/1

x=4(3^(1/2))

third answer choice

Answer:

x = -5

Step-by-step explanation:

-6x - 15 = 4x + 35

      + 15        + 15

-6x = 4x + 50

-4x   - 4x

-10x = 50

-10x/-10 = 50/-10

x = -5

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x       0          1          2         3           4

y       0          1           4         9          16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞,  4/1 = 4,  9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x       0          1          2         3           4

y       1/3        1           3        9           27

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3,  3/1 = 3,  9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x       0          1          2         3           4

y       5          5/2      5/4      5/8       5/16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x       0          1          2         3           4

y       4.5       4        3.5       3          2.5

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D  DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

The functions that are exponential would be:

B). [tex]x[/tex]   0          1          2         3           4

   [tex]y[/tex]     1/3        1           3        9          27

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

What are Exponential Functions?

B). Given that,

[tex]x[/tex]   0          1          2         3           4

 [tex]y[/tex]     1/3        1           3        9          27

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]

Thus, it exemplifies an exponential function.

Similarly,

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]

Thus, it exemplifies an exponential function.

Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.

Learn more about "exponential function" here:

brainly.com/question/15352175

how many people????????????

Answer:

301.59

or

96 π

Step-by-step explanation:

on khan acad. if you click on the box, you can click on the pi icon to do it in terms of pi.

I always do in terms, but make sure to learn the other way :)

the formula for cone volume is π r^2  h/3

radius = 6

height = 8

π 6^2  8/3

π 36  8/3

π 36 x 8  /3

π 288 / 3

π 96

Answer:

a. 0= 3^3-2(3)^2-2(3)-3

(set the equation to zero. x=3, so plug 3 into all of the x's ^^)

27-18-6-3

(do all of the multiplying and stuff ^^)

0

(combine like terms ^^)

Step-by-step explanation:

i hope this helps!!

Answer:

wow

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You need to find the slope in A.  y = x + (4x - 1) = 5x -1.   The slope is 5.

In B,  as x increases 1 unit, y increases 1 unit.  Therefore, the rate of change is 1/1 = 1

Conclusion:  In A the rate of change is 5 and in B the rate of change is 1.

Therefore, A has a greater rate of change

Answer:

degree is 6 and it is a trinomial

Answer:

$109.27

Step-by-step explanation:

100 + 90 = 190

54/100 X 190 = 102.60

100 + 6.5 = 106.5

102.60/100 X 106.5 = 109.269

monetary unit round to 2dp

109.27

Answer:

The answer is All Solution

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

You can tell because, as x increases/decreases, y increases/decreases at the same rate EACH TIME. This way, no matter how many times the proportions increase OR decrease, the ratio between x and y always stays the same.

Answer:

36m-6

If im wrong im sorry

Answer

x>21.2

Step-by-step explanation:

7.55x+100>160:

subtract 100 on both sides to get:

7.55x>60:

divide 7.55 on both sides:

x>21.2 is your answer  

Answer:

7.50h + 100 > 160

Step-by-step explanation:

7.50 is the hourly wage

h = hours he worked

add 100 once because it's his tips for the amount of time her worked

since he worked more than 160, you'll use the greater sign

then solve for h

h = 8 hours

Step-by-step explanation:

We have y = 13 - 3x and y = 7 - x.

=> 13 - 3x = 7 - x

=> 2x = 6, x = 3.

Then y = 7 - (3), y = 4.

Hence the price of a pencil is $3 and the price of a notebook is $4. (C)

answer is c) pencils: $3 notebook: $4 go to card 5

Answer:

I think it is -3,-2.......

Answer:

(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸

because (3x⁷)⁴ = cx^n

=> c = 81

n = 28

Answer: C

Step-by-step explanation:

Answer:

the answer is C I swear to yo mama

Answer:

11.5

Step-by-step explanation:

I hope this helps :)

Answer:

11.5

Step-by-step explanation:

have a great day <3

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answer:

40yd

Step-by-step explanation:

Answer:

i got 28 yd2

Step-by-step explanation:

for the triangle: 6×4= 24, but since a triangle is half divide by 2

24/2=12

4×4= 16

12+16= 28

lmk if I'm wrong, i might be a little rusty

Answer: 3

Step-by-step explanation:

What

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

Answer:

The answer is 12

Step-by-step explanation:

36/9=4

4x3=12