Please help! And please explain how you did it!

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

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Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

Answer:

30 inches

Step-by-step explanation:

Answer:

Its either L or N im not sure but if i had to guess out of the two i think its L.

Step-by-step explanation:

Answer:

A right angle is measured 90°

Step-by-step explanation:

A right angle is measured 90°

An acute angle is measured <90° (for example 30° and 45°)

An obtuse angle is measured >90° but <180° (for example 170°)

A straight angle is measured 180°

Answer:

B

Step-by-step explanation:

35

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

then ,perimeter=nc+mb+mn+bc=5+6+8+16=35

Answer:

Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!

Step-by-step explanation:

Hope this helps!! :)

The missing number is 6

Missing numbers are numbers omitted from a group or series of numbers.

The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.

From the given information:

Therefore, we can conclude that the missing number is 6.

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Answer:

x = 5.4

Step-by-step explanation:

Ratios:

[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]

Answer:

10 inches

Step-by-step explanation:

9514 1404 393

Answer:

  ∠14

Step-by-step explanation:

Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

Answer:

The answer is 39 cm squared

Answer:

A-1 central nervous system

b- peripheral nervous

Answer:

0

48

24

12

36

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

750160 ez

Step-by-step explanation:

Answer:

Hello your question is poorly written the complete question is attached below

answer :

a) H0 : p1 = p2

  Ha : p1 ≠ p2

b)  Z = -0.58

c) P-value =  0.561915

d) we will reject the Alternative hypothesis

Step-by-step explanation:

For sample 1 ;  n1 = 254 , x1 = 28

For sample 2 ; n2 = 301 , x2 = 38

level of significance ∝ = 0.01

P1 = X1 / n1 = 28 / 254  = 0.1102

P2 = X2 / n2 = 38 / 301 = 0.126

a) Determine the null and alternate hypothesis

H0 : p1 = p2

Ha : p1 ≠ p2

b) Determine Test statistic

we perform a Z-statistic to test the hypothesis

Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex]  -------- ( 1 )

p =  ( x1 + x2 ) / ( n1 + n2 )

= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189

Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )

∴ Z = -0.58

c) Determine P-value

P-value =  0.561915 ( using excel function )

d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis.  therefore it proves that p1 = p2

Answer:

663

Step-by-step explanation:

ratio of Malay = 5

ratio of Indian= 4

ratio of Chinese= 8

Total number of Indian + Chinese= 468

Total ratio= 5+4+8= 17

Let the total number of students= X

Ratio of India= 4/17 × X=

Ratio of Chinese= 8/17 × X=

Addition of ratio of both India and Chinese=

4X/17 + 8X/17= 468

(4X +8X)/17 = 468

12X/17= 468

X= 663

Hence, total number of students is 663

Answer:

[tex](25,-71)[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (19,5)[/tex] --- midpoint

[tex](x_1,y_1) = (13,81)[/tex] --- end 1

Required

The other endpoint

Using midpoint formula, we have:

[tex](x,y) = 0.5 * [x_1 + x_2, y_1 + y_2][/tex]

So, we have:

[tex](19,5) = 0.5 * [13 + x_2, 81 + y_2][/tex]

Multiply both sides by 2

[tex]2 * (19,5) = 2 * 0.5 * [13 + x_2, 81 + y_2][/tex]

[tex](38,10) = [13 + x_2, 81 + y_2][/tex]

By comparison:

[tex]x_2 + 13 = 38[/tex] and [tex]y_2 + 81 = 10[/tex]

So:

[tex]x_2 = 38 - 13[/tex]

[tex]x_2 = 25[/tex]

and

[tex]y_2 = 10 - 81[/tex]

[tex]y_2 = - 71[/tex]

Henc, the other endpoint is:

[tex](25,-71)[/tex]

Answer:

400 pick mine as Brainlest

Step-by-step explanation:

Answer:

It is 400

Step-by-step explanation:

If you reverse it to make it easier on yourself.

500-100 =400

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The value of x is 7

Step-by-step explanation:

Complementary angles have a sum of 90°, therefore the equation to solve for x is:

∠1+∠2=90°

60°+5(x-1)°=90°

5(x-1)=30°

x-1=6

x=7

So the value of x is 7

Answer:

54

Step-by-step explanation:

The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The linear equation is given below.

y = 3x - 2

The equation of the line that is parallel to the line y = 3x - 2 will be given as,

y = 3x + c

The equation passes through (3, 5), then we have

5 = 3(3) + c

5 = 9 + c

c = - 4

Then the equation of the line will be y = 3x - 4.

More about the equation of a parallel line link is given below.

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Answer:

[tex]680, 612[/tex]

Step-by-step explanation:

[tex]34[/tex]×[tex]20=680[/tex]

[tex]3[/tex]×[tex]204=612[/tex]

The required one banana cost, one apple cost, and a single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

In mathematics, it deals with numbers of operations according to the statements.

There is b number of bananas and a number of apples.
The cost of total bananas and apples is $1.45 and $2.35.

(a) Cost of one banana is,
       For b bananas = $1.45
              dividing both side by b
             b/b bananas = $1.45/b
              1 banana = $1.45/b

(b) Cost of one apple is,

For a apples = $2.35
dividing both side by a
         a/a = $2.35/a
      1 apple = $2.35/a

(c) Single fraction is given by = cost of one banana/ cost of one apple
                                                =    (1.25/b) / (2.35/a)
                                                =   0.54* a/b

Thus the required one banana cost, one apple cost and single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

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