write an equation for the nth term of the arithmetic sequence. Then find a40.

6,-1,-8,-15,....​

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

[tex]\sqrt{x^2} =\sqrt{25}[/tex]

x = 5

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]

Learn more about rate of change here: https://brainly.com/question/18193470

#SPJ2

Answer:

750160 ez

Step-by-step explanation:

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:

[tex]680, 612[/tex]

Step-by-step explanation:

[tex]34[/tex]×[tex]20=680[/tex]

[tex]3[/tex]×[tex]204=612[/tex]

Answer: d

Step-by-step explanation:

Answer:

x=23

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:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

3.13π

Step-by-step explanation:

One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:

Diameter is half the radius, so the radius is 5ft.

Area of a circle  = π(radius)²

=5²π

=25π.

We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π

Step-by-step explanation:

10. not a function (repeating x values)

11 Function

12 not a function (repeating x values)

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:

when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|

f(x) = |x+9|

if you set that equal to zero then X= -9

so shifting over to the left is the right choice

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

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.

Learn more about the missing numbers here:

https://brainly.com/question/11170254

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:

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:

c=6d

Step-by-step explanation:

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Step-by-step explanation:

safari

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