Evaluate 24nk if n= 6 and k = 8

Answer:

The sequence is an arithmetic sequence.

Common difference = 0.6

Step-by-step explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]

Where T represent Term and the number represent their positions;

So, from the given above

[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]

Calculating [tex]T_2 - T_1[/tex]

[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]

Calculating [tex]T_3 - T_2[/tex]

[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]

Calculating [tex]T_4 - T_3[/tex]

[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6

Answer:

C

Step-by-step explanation:

SA=pi*r^2+pi*r*s

SA=3.14*3^2+3.14*3*8

SA=3.14*9+3.14*24

SA=103.62

SA= about 104 inches

Aubrey included the base (you can't put on a hat that has a bottom), the right work should be:

SAhat=pi*r*s

SAhat=3.14*3*8

SAhat=3.14*24

SAhat=75.36

SAhat= about 75

Thus, answer is C

Answer:

72*12 = 2*2*2*2*2*3*3*3 = 2^5*3^3 this is the answer to the equation to express 72×12

Answer:

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You subtract 17 (x - 17) and multiply the answer by 8 (8(x - 17)).  This is equal to 32.  Solve for x

8(x - 17) = 32

8x - 136 = 32

8x = 168

x = 21

Answer:

5/8 - 5/12 = (5×3/8×3)-(5×2/12×2)15-10/24 = 5/24

Step-by-step explanation:

first find out the LCM ( Lowest Common Multiple ) of the denominators              ( here:24 ) and multiply the denominator and numerator , both with the required no. to make the denominator as equal as the LCM [( 5×3/8×3 ) -          ( 5×2/12×2)] and subtract / add the numerators. the answer you get is the correct answer.

hope that is helpful for your future.

best of luck

Answer:

C

Step-by-step explanation:

2 units right and 3 units up

Answer:

144 p

Step-by-step explanation:

It was due to be returned on 26 November but she returned it on 12 December.

She was therefore with it for an extra 16 days.

The fine is 9p per day. Therefore, she will pay a fine of:

9 * 16 = 144 p

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Answer:

( f h ) (x)  = 6 x² - 1

Step-by-step explanation:

Step(i):-

Given f(x)   =  3 x - 4

         g (x)  = −x²+2 x−5

        h (x)  = 2 x² + 1

         j (x)    = 6 x + 2 - 8 x

        K (x)   = 3 x² - x + 7

Step(ii):-

( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )

                            =  3 (2 x² + 1 ) - 4

                            =  3 ((2 x² ) + 3 - 4

                           =   6 x² - 1

Final answer:-

∴ ( f h ) (x)  = 6 x² - 1

Answer:

X=(9,0)

Y=(0,-6)

Answer:

I think you'll have to graph that

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Mid point theorem:

The line segment joining the mid point of two sides of a triangle, is parallel to the third sides and this line segment is half the length of the third side

Answer:

C) 3.9 sec

Step-by-step explanation:

You have given the time formula; t = square root of d divided by square root of 4.9.

Well d = 75m

square root of 75 = 8.66

square root of 4.9 = 2.2

8.66 / 2.2 = 3.9363...

t = 3.9 sec

Hope this was hopeful! (give 5 stars if you understood) :) Good luck

Answer:

Average systolic blood pressure = x = 130

Standard deviation = s = 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

∠ ABC = ∠ ABD + ∠ DBC , that is

85°  = ∠ ABD + 61° ( subtract 61° from both sides )

24° = ∠ ABD → D

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. If m<2 = 32°

the measure for m<4 is 148°

x + 32° = 180°

x = 148°

measure of m<6 = 148° alternate interior of m<4

2. If m<1 = 65°, then m<2 and m<3  are also 65°

Both m<2 and m<3 are vertical angles therefore they are 65°

m<1 and m<2 are corresponding angles therefore they are 65°

Answer:

Since Joe did not get the whole $22 and only $14, then it would only be fair to say that the CD was worth $8.

Step-by-step explanation:

Answer:

The constant 8 represents the height of the stack and hence the number of coasters.  (It represents the number of coasters.)

Step-by-step explanation:

The formula for finding the volume of a cylinder is

V = πr²h

If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as

V = 3.14 * r²

But the formula in this question is

V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

364

Step-by-step explanation:

14!/(3!(14-3)

Answer:

364

Step-by-step explanation:

You need to choose 1 out 14 for the first position, then 1 out of the 13 left  for the second position, then 1 out the 12 left for the third position.

That gives 14 * 13 * 12 = 2184.

If order mattered, that would be the answer, but in this case, since order does not matter, the 3 positions can be filled in 3 * 2 * 1 ways = 6 ways.

2184/6 = 364

Answer:

The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.

Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.

In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.

Answer:The allies were already...

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The given Equation y=-1/3x+7 represents the table on the left side because when x = 0 y = 7. The equation for the table on the left is y=1/3x+5 because when x = 0 y = 5 and when y goes up 1 x goes up 3. The solution is (3, 6) because the only point in both tables is (3, 6)

Answer:

y = (1/3)x + 5

Step-by-step explanation:

y = (-1/3)x + 7 matches the second table (the table on the right side).  Note that if x = 0, y = 7, and that this point, (0, 7) is found in the second table.  The other table shows that when x = 0, y = 5; this point, (0, 5), is the y-intercept of the function whose values are in the first table.  To finish this work, we need onlyl find the slope of the function represented by the first table:

y = mx + b becomes 6 = m(3) + 5, or  1 = 3m, or m = 1/3.

The the function represented by the first table is y = (1/3)x + 5.

Answer:

2'nd atom

Step-by-step explanation:

There are two atoms one weighs

6.022*10^-29 grams

another weighs

1.66*10^-17 grams

Which atom has a greater mass?

Work:

-29-(-17)=-12

-29 is 12 decimal places smaller than ^-17

0.000000000006.022*10^-17=1.66*10^-17

0.000000000006.022=1.66

0.000000000006.022<1.66

atom 1 < atom 2

We can conclude that the second atom is the greater.

The answer is 7/5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

UP 7 OVER 5.( FORM POINT ( -1,-9))

Step-by-step explanation:

PLOT BOTH POINTS ON A GRAPH THAN JUST COUNT UP AND THEN OVER TILL YOU MEET THE OTHER POINT

Answer: A) A sample statistic can never be equal to the population parameter.

Step-by-step explanation:

The statement "In order to determine the sample proportion, we have to measure the size of the population" is correct.

The following statements should not be considered:

Therefore we can conclude that the statement "In order to determine the sample proportion, we have to measure the size of the population" is correct.

Learn more about the sample size here: brainly.com/question/18398606

Answer:

3 & 4

Step-by-step explanation:

Perfect Squares Squares:

1, 4, 9, 16, 25.

15 is in between 9 and 16 which rooted is 3 and 4 so 15 falls between the perfect squares of 3 and 4. Another answer would be from 1 & 10 but I think it only asks for one answer. If they do, the best answer is between 3 & 4.

Answer:

the formula is V=BH

Step-by-step explanation:

if the prism is rectangular prism : it has three dimensions then V=length * height * width

V= L*H*W or V= base*H

or V=BH

in your question it does not show V=BH maybe it is misprint

The volume of the prism is V = Bh , where B is the base area and h is the height of the prism

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.

Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.

Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.

Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.

To learn more about volume of prism click :

https://brainly.com/question/11336446

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Answer:

6

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{3}{x} \\ \\ \frac{1}{2} = \frac{3}{x} \\ \\x = 2 \times 3 \\ \\ x = 6[/tex]

This Is A Linear Graph Because Quadratic Graphs Are Curved