The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?

Answers

Answer 1

204 /6 = 34

29 +31 +33 + 35 +37 +39 = 207

4th number = 35

Answer 2

The fourth number is 35


Related Questions

What does x equal and what does why equal?

Answers

1.

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96

x^2 = 23.04

x = sqrt(23.04) = 4.8


2. y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

Answer:

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96  

x^2 = 23.04  

x = sqrt(23.04) = 4.8

 y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

the high temperature on friday was 8 degrees above zero

Answers

0-8=-8
the answer is -8

Sean, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Sean also gives a 5% discount if the entire amount is paid up front.

A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2 dollars, Basic Pro

Michelle has an 85-page manuscript. The equation below shows the relationship between the total cost of editing 85 pages, T, and the cost per page, c, if she gets the 5% discount:

85c − 0.05(85c) = T

Using the equation, what is the best quality of editing that Michelle can get done for a maximum of $161.50?

a.Express proofreading

b.Basic proofreading

c.Extended proofreading

d. Deep editing

Answers

85c - 0.05(85c) = 161.50
85c - 4.25c = 161.50
80.75c = 161.50
c = 161.50 / 80.75
c = 2

the only answer choice u have listed happens to be the right answer...express proof-reading

Answer:

option (a) Express proof reading

Step-by-step explanation:

Michelle has an 85-page manuscript. To calculate the total cost of printing equation will be  

85c - 0.05( 85c ) = T

where c = cost per page and T = total cost on editing 85 pages.

If total cost of editing is $161.50, then we have to find the best quality of editing Michelle can get.

85(c) - (0.05)(85c) = 161.50

85c - 4.25c = 161.50

80.75c = 161.50

⇒ c = $ 2 per page

As it has been given in the question that express proof reading costs $2.00 per page, so the best quality of editing Michelle can get is option (a) Express proof reading

how many lead cubes of side 3cm could be made from a lead of side 27cm

Answers

Nine lead cubes of side 3cm could be made from a lead of side 27cm. This is because 3+3=6. 6+3=9. 9+3=12. 12+3=15. 15+3=18. 18+3=21. 21+3=24. 24+3=27. Therefore, three goes into twenty-seven a total of nine full times.

what is the limit as x is approaching 0 of the absolute value of x

Answers

recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,

[tex]\bf \lim\limits_{x\to 0}~|x|\implies \begin{cases} \lim\limits_{x\to 0^-}~-x\\\\ \lim\limits_{x\to 0^+}~+x \end{cases}\implies \begin{cases} 0\\\\ 0 \end{cases}\implies \lim\limits_{x\to 0}~|x|=0[/tex]
Final answer:

The restriction of the outright worth of x as x methodologies 0 will be 0. Outright worth guarantees that the result is non-negative, and as x methodologies zero from one or the other side, the outcome stays at 0.

Explanation:

The inquiry you're posing relates to the furthest reaches of the outright worth capability as the variable x methodologies are the worth of nothing. In science, explicitly in math, we assess cutoff points to comprehend the way of behaving of capabilities as they approach a specific point.

To track down the breaking point as x methodologies 0 of the outright worth of x, signified as lim x→0 |x|, we want to think about the meaning of outright worth. The outright worth of a number is the non-negative worth of that number regardless of its sign. In this manner, as x methodologies 0 from either the positive or negative side, the outright worth of x will likewise move toward 0.

Consequently, the cutoff is 0, since as x gets increasingly close to nothing, so does the outright worth of x.

Point ___is the vertex of the angle marked in the figure.

Answers

Answer:

The vertex is the point E

Step-by-step explanation:

we know that

The angle marked in the figure is the angle [tex]<CEB[/tex]

therefore

The vertex is the point E

Answer:

Yes the person is right I got it right on the test

Step-by-step explanation:

Adam draws three parallelograms. He measures the sides of each figure, as shown.

What is a reasonable conjecture for Adam to make by recognizing a pattern and using inductive reasoning?

In a parallelogram, all sides are congruent.

In a parallelogram, opposite sides bisect each other.

In a parallelogram, opposite sides are congruent.

In a parallelogram, all sides bisect each other.

Answers

The best answer is C) In a parallelogram, opposite sides are congruent.

Answer:

In a parallelogram, opposite sides are congruent.

Step-by-step explanation:

Writing the lengths of the sides of the parallelograms shows him a pattern for the side lengths of opposite sides.  Doing this will show him that opposite sides are congruent.

Evaluate 8 + W/4 when W = 16.

Answers

Evaluating an expression means to replace the letter by its given value.
We have the expression 8 + w/4. By hypothesis, w = 16. So just replace the letter w by 16 and do the calculus.

8 + w/4 = 8 + 16/4 = 8+4 = 12

So 8 + w/4 = 12 when w = 16.

Hope this helps! :)

The evaluation of the algebraic expression 8 + w/4 when w = 16 is 12

How to evaluate algebraic expression

Given:

8 + w/4

when,

w = 16

substitute w = 16 into the expression

8 + 16/4

= 8 + 4

= 12

Therefore, evaluation of the algebraic expression 8 + w/4 when w = 16 is 12

Learn more about algebraic evaluation:

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solve for y 3x - 5y = 8

Answers

y= -8/5 + 3/5 hope this helps

Final answer:

To solve for y in the equation 3x - 5y = 8, we subtract 3x from both sides and then divide by -5, resulting in y = (3/5)x - 8/5.

Explanation:

Solving for y in the equation 3x - 5y = 8

To solve for y in the equation 3x - 5y = 8, we need to isolate y on one side of the equation. Here are the steps:

Start with the original equation: 3x - 5y = 8.

Subtract 3x from both sides of the equation to get -5y = -3x + 8.

Divide each term by -5 to solve for y: y = (3/5)x - 8/5.

So the solution for y in terms of x is y = (3/5)x - 8/5.

−cz+6z=tz+83 solve for z

Answers

To answer this item, we combine all terms involving the variable z to only one side of the equation. All else will be placed on the other side of the equation. This is as follows,

   -cz + 6z = tz + 83

Transposing,
   -cz - tz + 6z = 83

Factoring z out,
  z(-c - t + 6) = 83

Dividing the equation such that z will be left on one side of the equation,
   
  z = 83 / (-c - t + 6)

Answer:

z = 83 / (-c - t + 6)

Step-by-step explanation:

Correct answer on Khan Academy

What is the degree of the polynomial function shown in the graph?


1



2



3



4

Answers

the answer to your Q is 4

The correct answer is

4

:)

How do you multiply mixed negative number fractions?

Answers

Turn it into an improper fraction and just multiply across like normal fractions. Simplify your answer.

What is the value of x?



Enter your answer in the box.

X=

Answers

12=X 
4x-10=5x-22
     +22     +22
4x+12=5x
-4x      -4x
12=x
4x + 3x + 5x = 12x
-10 -22 = -32 + 2 = -30
12x - 30 + 180
       + 30  + 30
12x = 210
210/12x = 17.5
I think

The perimeter of a rectangle is 102 cm. if the length is 28 cm, how wide is the rectangle?

Answers

(102 - (28*2)) / 2=
(102 - (56)) / 2 =
(46) / 2 = 23

The width is 23 cm
The answer to this question is 23cm

Dylan's hiking club is planning to stay overnight at a camping Lodge. Each large room can hold 15 hikers. There are 154 hikers. How many rooms will they have?

Answers

Since we're figuring out rooms for real people, we'll need to round our answer up since a partial group of 15 will need a room, too. First, divide out the hikers by the number of rooms:
154 ÷ 15 = 10.26666...

They'll need 11 rooms to accommodate everyone
First of all, you need to compare the two statements. That will be;
1 room=15 hikers
Y=154 hikers
I represented the unknown number of rooms with Y. So now we need to find Y. The next step is to cross and multiply. 15 will multiply Y to give 15Y. And 154 will multiply 1 to give 154. That will be;
15Y=154
Divide both sides by 15. That will be;
Y=154/15
Y=That will be 10.27 which means 10 rooms. But 4 hikers will remain. In other to accommodate the remaining 4 hikers, an extra room will be taken. Which will make 11 rooms. Hope that helped. Have a nice day

The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.

How do I use the midpoint formula for this?

Answers

The coordinates of the midpoint of a line segment joining two points (x₁,y₁) and (x₂, y₂) is given by
[(x₁+x₂)/2, (y₁+y₂)/2].

Given:
(x₁,y₁) = (3,6)  for the point U.

For the midpoint,
(x₁+x₂)/2 = 5   or x₁ + x₂ = 10
(y₁+y₂)/2 = -10 or  y₁ + y₂ = -20

Therefore, the coordinates of V are
3 + x₂ = 10     =>  x₂ = 7
6 + y₂ = -20  =>   y₂ = -26

Answer:  V (7, -26)

Identify the 7th term of the geometric sequence in which a2 = 324 and a4 = 36

Answers

the answer is 4/3 or -4/3

Answer:

4/3

Step-by-step explanation:

a2 = 324 and a4 = 36

second term is 324  and fourth term is 36

[tex]a_n= a_1(r)^{n-1}[/tex]

To get second term, replace n with 2

[tex]a_2= a_1(r)^{2-1}[/tex]

[tex]a_2= a_1(r)[/tex]

replace a2 with 324

[tex]324= a_1(r)[/tex] -----------> equation 1

To get fourth term , replace n with 4

[tex]a_4= a_1(r)^{4-1}[/tex]

[tex]a_4= a_1(r)^3[/tex]      

Replace the value

[tex]36= a_1(r)[/tex]  -----------> equation 2

divide second equation by first equation

[tex]36= a_1(r)^3[/tex]    divide by [tex]324= a_1(r)[/tex]

1/9 = r^2

take square root on both sides

1/3= r

now we find a1

[tex]324= a_1(r)[/tex]  

[tex]324= a_1(\frac{1}{3})[/tex]

multiply by 3 on both sides

972= a_1

So a1= 972,  r= 1/3

now find out 7 term by replacing 'n' with 7

[tex]a_7= 972(\frac{1}{3})^{7-1}[/tex]

So 7th term is 4/3

Please Need Help! Which of the following is true for the relation f(x) = 5x + 1?

A- Both the equation and its inverse are functions.
B- Only the inverse is a function.
C- Only the equation is a function.
D- Neither the equation nor its inverse is a function.

Answers

Both the equation and its inverse are functions. A f(x) is a function if no value of x gives two values f(x) We'll call the inverse of f(x) g(x). The inverse of a function f(x) is found by letting f(x)=y and switching the place of x and y. f(x)=y=5x+1 switching x and y results in x=5y+1 x-1=5y x/5-1/5=y g(x)=x/5-1/5 Both f(x) and g(x) are linear functions and I have given them in the form y=mx+b. As long as m is finite, y=mx+b is a function. m is defined for both f(x) and it's inverse g(x).

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answers

Part A
Let y = a  + b*x
where
x = number of days
y = cost

When x = 2, y =$225. Therefore
a + 2b = 225                  (1)
When x = 5, y = 480. Therefore
a + 5b = 480                 (2)
Subtract (1) from (2).
3b = 480-225 = 255
b = 85
From (1), obtain
a = 225 - 2*85 = 55

Answer: 
y = 55 + 85x
where x =  the number of days
y = the cost (dollars)

Part B.
The cost is
f(x) = 55 + 85x

Part C
To graph y = 55 + 85x,
The y-intercept is 55
The x-intercept occurs when y = 0. That is
55 + 85x = 0
x = -55/85 = -11/17
The graph is shown below.

What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?

Answers

[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------\\\\ f(x)=-2x+1 \qquad \begin{cases} x_1=-5\\ x_2=1 \end{cases}\implies \cfrac{f(1)-f(-5)}{-5-1} \\\\\\ \cfrac{[-2(1)+1]~~-~~[-2(-5)+1]}{-6}\implies \cfrac{[-1]~~-~~[11]}{-6} \\\\\\ \cfrac{-12}{-6}\implies 2[/tex]

Write an equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{ -10}})\quad % (c,d) &({{-5}}\quad ,&{{ -2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-2-(-10)}{-5-3}\implies \cfrac{-2+10}{-5-3} \\\\\\ \cfrac{8}{-8}\implies -1 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-10)=-1(x-3)\\\\\\ y+10=-(x-3)[/tex]

Equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2) is y + 10 = -(x - 3).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given it has points (3,-10) and (-5,-2) and we know slope(m)

= (y₂ - y₁)/(x₂ - x₁).

= (-2 + 10)/(-5 - 3).

= 8/-8.

= -1.

Equation of a line in point-slope form is (y - y₁) = m(x - x₁).

y - (-10) = -1(x - 3).

y + 10 = -(x - 3).

learn more about lines here :

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Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 2+i, 2

Answers

Final answer:

To find a polynomial with given zeros 2+i and 2, include the conjugate 2-i to ensure rational coefficients, resulting in the polynomial x^2 - 4x + 3.

Explanation:

Finding a Polynomial with Given Zeros

To find a polynomial function of the lowest degree with rational coefficients that has 2+i and 2 as some of its zeros, you should remember that complex zeros in polynomials with real coefficients come in conjugate pairs. This means that if 2+i is a zero, so is its conjugate 2-i. You now have three zeros: 2, 2+i, and 2-i.

The polynomial with these zeros can be written as (x-2)(x-(2+i))(x-(2-i)). To find the polynomial, we simply multiply these factors:

(x-2)(x-2+i)(x-2)(x-2) - i(x-2)

Now add the resulting quadratics:

(x-2)2 - i2

This results in:

x2 - 4x + 4 - 1

Which simplifies to x2 - 4x + 3. Thus, the required polynomial function of the lowest degree is x2 - 4x + 3.

A line segment is different from a line in that a segment has

Answers

A line segment is different from a line in that a segment has TWO END POINTS.
A line segment has two end points while a line has only one end point. Also you can measure the length of a line segment but you can not measure the length of a line, that is because it continues indefinitely.

for the equation 7x+3y-5=0, find the missing coordinate or the ordered pair so that it is a solution (?,4)

Answers

7x+3y-5=0
7x+3(4)-5=0
7x + 7 = 0
7x = -7
  x = -1

answer
 ordered pair
(-1, 4)

Can someone tell me what these angles are

Answers

4 and 5 are alternate interior angles.

Each morning Papa notes the birds feeding on his bird feeder. So far this month, he has seen 59 blue jays, 68 black crows, 12 red robins, and 1 cardinal. If 300 birds visit Papa'S bird feeder, how many blue jays can he expect to see?

Answers

Add all of the birds together.

59 + 68 + 12 + 1 = 140

Solve what percentage 59 is of 140.

x * 140 = 59
Divide both sides by 140.
x = .421428571

Multiply 300 by that percent.

300 * .421428571 = 126.428571 which rounds up to 126.

Papa can expect 126 blue jays.
126 blue jays.

hope this helps you(:

if not plz let me know (:

a segment has endpoints (a,b) and (c,d). The segment is translated so that its image is 6 units up and 3 units left of the preimage. Are the two segments parallel, perpendicular, or neither?

Answers

The translation of the image can be describe as

x – 3

y + 6

 

Since the transformation that is made is purely translation, therefore this means that the original image and the new image will never intersect and hence:

 

Parallel

 

If the two are extended we can actually see that they will never meet.

Will the solution to the following equation be positive or negative? b ÷ -2 = 5

positive

negative

Answers

The answer will be negative (-10)

After t years, the amount of money in a savings account that earns simple interest is p + prt, where p is the starting amount and r is the yearly interest rate. factor this expression.

Answers

using I=PRT/100
replacing the given information;
(p+prt)=P×r×t


⇒p+prt=P×rt
P=(p+prt)/(rt)
Principal(P)= (p/rt)+p
                   =p((1/rt)+1)

Final answer:

The equation of simple interest p + prt can be factored by taking out the common factor p, resulting in a factored expression of p(1 + rt).

Explanation:

The equation p + prt represents the total amount of money in a savings account after t years when interest is earned at a simple interest rate of r on the principal amount p. To factor this expression, we look for the greatest common factor present in each term. Here, the common factor is the principal amount p.

Therefore, the factored form of the expression is p(1 + rt). This shows that the total amount is composed of the initial principal plus the product of the principal, the rate, and the time.

This differs from compound interest, where the interest earned is added to the principal at each compounding period, leading to interest on interest. Simple interest calculations are straightforward and don't involve this compounding effect, making it simpler to calculate future values manually or using online calculators.

The position of a particle on the x-axis at time t, t > 0, is s(t) = e^t with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 0 ≤ t ≤ In3?

3
2/ln3
3/ln3
3/2

Also please just tell me which on it is

Answers

0 ≤ t ≤ ln(3)

When t = 0
[tex]s(0) = e^0 = 1[/tex]

when t = ln(3)
[tex]s(ln(3)) = e^{ln3} = 3[/tex]

We have two coordinates: (0, 1) and (ln(3), 3)

The rate of change = The difference in y-coordinates ÷ the difference in x-coordinates

The rate of changes  = [3 - 1] ÷ [ln(3) - 0] = 2/ln(3)

Answer: 2/ln(3)
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