Find the value of 16^3/4​

Answer:

d = 12.5

Step-by-step explanation:

Second term = a + d

Third term = a + 2d

a + d + a + 2d = 27

2a + 3d = 27

Fourth term = a + 3d

Fifth term = a + 4d

a + 3d + a + 4d = 77

2a + 7d = 77

2a + 3d = 27 (1)

2a + 7d = 77 (2)

Subtract (1) from (2) to eliminate a

7d - 3d = 77 - 27

4d = 50

Divide both sides by 4

d = 50/4

= 12. 5

d = 12.5

Substitute d = 12.5 into (1)

2a + 3d = 27

2a + 3(12.5) = 27

2a + 37.5 = 27

2a = 27 - 37.5

2a = -10.5

a = -10.5 / 2

= -5.25

a = -5.25

The common difference of the sequence is 12.5.

Given that,

The sum of the 2nd and 3rd terms of an arithmetic sequence is 27,

And the sum of the 4th and 5th terms is 77.

We have to determine,

The common difference of the sequence?

According to the question,

Let d is the common difference of the sequence,

The second term to the arithmetic series is,

[tex]\rm Second \ term= a+d[/tex]

And the third term to the arithmetic series is,

[tex]\rm Third \ term= a+2d[/tex]

The sum of the second and third terms of the sequence is 27.

[tex]\rm Second \ term + third \ term = 27\\\\a+d + a+2d = 27\\\\2a + 3d = 27[/tex]

The fourth term to the arithmetic series is,

[tex]\rm fourth \ term= a+3d[/tex]

And the fifth term to the arithmetic series is,

[tex]\rm fifth \ term= a+4d[/tex]

The sum of the fourth and fifth terms of the sequence is 77.

[tex]\rm fourth\ term + fifth \ term = 77\\\\a+3d + a+4d = 77\\\\2a + 7d = 77[/tex]

On solving both the equations,

[tex]\rm 2a + 3d = 27\\\\2a + 7d = 77[/tex]

Subtract equation 1 from equation 2,

[tex]\rm 2a + 3d - (2a + 7d) = 27-77\\\\2a +3d -2a-7d = -50\\\\-4d = -50\\\\d = \dfarc{-50}{-4}\\\\d = \dfrac{25}{2}\\\\d = 12.5[/tex]

Hence, The required common difference of the sequence is 12.5.

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Answer:

a = (3 + 2b) / 3

Step-by-step explanation:

1) Move 2b to the right.

-3a + 2b = -3

-3a = -3 - 2b

2) Leave only a on the left.

a = (-3 - 2b) / (-3)

a = -(3 + 2b) / (-3)

a = (3 + 2b) / 3

Answer:

y + 1 = [tex]\frac{3}{4}[/tex](x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (5, 2)

m = [tex]\frac{2+1}{5-1}[/tex] = [tex]\frac{3}{4}[/tex]

using (a, b) = (1, - 1 ), then

y - (- 1) = [tex]\frac{3}{4}[/tex](x - 1) , that is

y + 1 = [tex]\frac{3}{4}[/tex](x - 1)

Answer:

Step-by-step explanation:

x = 150

1/3 x =  50

x -20 = 30

x -10 = 140

Are u ok ????

Answer:

1 foot

Step-by-step explanation:

The far above the water is the yellow mark is 1 foot.

[tex]cos \frac{\pi}{3} = \frac{OB}{OA}\\\\ \frac{1}{2} = \frac{OB}{4}\\\\ OB = 2[/tex]

Now

A yellow mark above the water should be

= OB - OD

= 2 - 1

= 1 feet

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Answer:

17/3

Step-by-step explanation:

or 5 2/3

Answer:

16/3 or 5 1/3

Step-by-step explanation:

keep switch flip the fractions

Answer:

Step-by-step explanation:

Given

As we see on the graph the function g(x) is the stretched form of f(x) and there is no horizontal or vertical shift

So It is achieved as:

Correct answer choice is

Answer:

Part A: The population and the sample of the survey are;

The population = The entire population of the country

The sample = 65,439 people in the state of Virginia

Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population

Step-by-step explanation:

The given information are;

The number of people interviewed in the survey = 65,439 people

The location of the people surveyed = Virginia

The goal of the survey = The effectiveness of the national healthcare

The number of females that visited a family doctor at least once in the past year = 71%

The number of males that visited a family doctor at least once in the past year = 88%

Part A: The population and the sample of the survey are;

The population = The entire population of the country

The sample = 65,439 people in the state of Virginia

Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population.

Answer:

-8x^11

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

THIS IS ASSUMING you are scaling it around 0,0

S is 2,1.

(x',y') = (2,1)

You want to find the coords with a scale factor of 2.

(x',y') = 2(2,1)

x',y' = 4,2

(4,2)

Answer:

3,10,6

this is the  answer

Answer:

b a

Step-by-step explanation:

Answer:

The GCF of both is g^3

Step-by-step explanation:

Here, we are asked to give the greatest common factor of g^3 and g^15

In simpler terms we want to find that biggest term that could divide both values.

Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3

5.67x10^-3

can you also please mark me as brainliest?

Answer:

(-x,y)

Step-by-step explanation:

Answer:

(-x y)

Step-by-step explanation:

do the math then it equals that there we go, plus I agree with the 1st answer well now I gonna do social studies

Answer:

Width = 6 m and lenght = 7 m

Step-by-step explanation:

Let x be the width of the rectangle.

lenght = 2x - 5

Perimeter means the addition of all sides of the rectangle.

Thus, x + x + 2x - 5 + 2x - 5 = 26

2x + 2x + 2x = 26 + 10

6x = 36, x= 6

Therefore, width is 6 m and lenght is 2 (6) -5 == 7 m

Hope it helps :)

Mark it as the brainliest answer pls :)

Answer:

i think 38%

Step-by-step explanation:

Answer:

it is B: yes the lines do not intersect at a 90 degree angle.

Step-by-step explanation:

if it intersected at a 90 degree angle, then it would have the 90 degree angle symbol and the figure would look like a cross, rather than an X shape.

here is an example of a figure that is perpendicular with a 90 degree angle:

Answer:

5

Step-by-step explanation:

Answer:

dadadad

Step-by-step explanation:

Answer:

They are equivalent

Step-by-step explanation:

-4(3)= -12 -8 = -20

-2 (3+1)= -6-2 = -8

-2(3+3)= -6-6 = -12 -8+-12=-20

both equal -20.

Answer:

-20 -20

Step-by-step explanation:

Answer:

$2.40

Step-by-step explanation:

There is a 50% discount, so you do 50% of 4.80 which is 2.40

Then subtract 2.40 from 4.80

and you get 2.40

[tex].50*4.80=2.40[/tex]

[tex]4.80-2.40=2.40[/tex]

I hope that wasn't confusing.

Hope this helps! (✿◠‿◠)

The required price of a plastic watch in the sale is $2.40.

Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
                                     = 4.80 * 50 / 100
                                     = 4.80 * 1/2
                                     = $ 2.40

Thus, the required price of a plastic watch in the sale is $2.40.

Learn more about percentages here:

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Answer:

350 and 351

Step-by-step explanation:

Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 704.

350 + 2 = 352

351 + 1 = 352

352 + 352 = 704

I am not 100% but did this help any?

Answer:

Step-by-step explanation:

Let the number = x

8x - 13 = 4x + 3              Add 13

8x = 4x + 3 + 13             Combine

8x = 4x + 16                   Subtract 4x

8x - 4x = 16                    Combine

4x = 16                           Divide by 4

x = 16/4

x = 4

Answer:

5

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

Answer: (5x + 2)(5x+2)

Step-by-step explanation: I just did a quiz with the same question

The factor of the given expression are (5x + 2)(5x+2)

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares is;

 2(5x)(2) = 20x

Which means the given expression is a perfect square trinomial, and that it is the square of (5x+2).

 25x^2 +20x +4

= (5x +2)^2

= (5x +2)(5x +2)

Here, we have a=5x, b=2.

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Answer:

x=5

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x.

11x-28=7x-8

add 28 to both sides (-8+28=20)

11x=7x+20

subtract 7x from both sides (11x-7x=4x)

4x=20

divide both sides by 4 to isolate x (20/4=5)

x=5