Study the following:

13 = 1 + 35 + 7 = 1 + 3 + 57 + 9 + 11 = 1 + 3 + 5 + 79 + 11 + 13 + 15

A student wrote:

1 + 3 + 5 + ... + 365367 + 369 + ... + □

What value must replace the square for this fraction to equal 13 ?

Explain how you obtained the answer.

Answers

Answer 1

Answer:

The square is 731

Step-by-step explanation:

Let me try...13 , 1 + 35 + 7, 1 + 3 + 57 + 9 + 11 , 1 + 3 + 5 + 79 + 11 + 13 + 15 ...(1)

grab the main number in each sequence: 13,35,57,79,911,1113....

There is another arithmetic sequence: 1, 3, 5, 7, 9, 11 ....

a₁ = 1    aₙ = 2n - 1

365367 : 2n - 1 = 365       2n = 366      n = 183  ... 365367 is in the place 183 of the series sequence

Now let's check the number follow the underlined number in (1)

0 number follow 13, 1 number follow 35, 2 number follow 57, 3 follow 79 ....

0, 1, 2, 3, 4........ until n=183 should have 182 numbers followed 365367

Now this last sequence start with 369 (a₁) with a difference of 2 from term to term

a₁₈₂ = 2n + 367 = 2 x 182 + 367 = 731


Related Questions

I NEED HELP FAST PLEASE! The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3X-9°
(x+15)

Answers

the measure of the smallest angle is 13.5

Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?

Answers

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

1 6/8 more flour than sugar

i just don’t understand how to do the half circle part. so if you could just give me that number i can do the rest.

Answers

Answer:

the radius of the circle is 5 and you find the raidus of the circle by using the formula A= (pi)r squared. then you'd divide that answer by two. :)

Step-by-step explanation:

help with finding g(f(x))
f(x) = x squared - 3x + 2
g(x)= x+2

Answers

Answer:

=x+2

Step-by-step explanation:

Answer:

g(f(x)) = x² - 3x + 4

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(x² - 3x + 2)

= x² - 3x + 2 + 2

= x² - 3x + 4

which sequence shows the number in order from least to greatest?
please help​

Answers

Answer: A

Explanation:

The square root of 45 is 6.70
_
8 5/6 as a decimal is 8.83

The absolute value of -23 is 23.

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=85°, and VT = 20 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer: 20.1

Step-by-step explanation: I if you are here from delta math this is the answer

Answer: 20.1

Step-by-step explanation:

sinU=  

hypotenuse

opposite

​  

=  

x

20

​  

 

\sin 85=\frac{20}{x}

sin85=  

x

20

​  

 

x\sin 85=20

xsin85=20

Cross multiply.

\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}

sin85

xsin85

​  

=  

sin85

20

​  

 

Divide each side by sin 85.

x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}

x=  

sin85

20

​  

=20.0764≈20.1 feet

Type into calculator and roundto the nearest tenth of a foot.

T

U

V

20

20.1

(opposite of ∠U)

(adj. to ∠U)

(hypotenuse)

85°

Kevin mows lawns for $9.25. He has already earned $63. How many hours does he need to work to earn $100?

Answers

Answer:

he has to work 4 more hours.

Step-by-step explanation:

63-100=37

37÷9.25=4

After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand. Model this situation by writing an equation of the form c(t)=mt+b where c is the number of copies still on hand after t days of being available

Answers

Answer:

[tex]c(t) =-18t +212[/tex]

Step-by-step explanation:

Given

[tex](t_1,c_1) = (4,140)[/tex]

[tex](t_2,c_2) = (9,50)[/tex]

Required

Determine the equation

First, we calculate the slope (m)

[tex]m = \frac{c_2 - c_1}{t_2 - t_1}[/tex]

[tex]m = \frac{50 - 140}{9-4}[/tex]

[tex]m = \frac{-90}{5}[/tex]

[tex]m = -18[/tex]

The equation is then calculated as:

[tex]c =m(t - t_1) + c_1[/tex]

[tex]c =-18*(t - 4) + 140[/tex]

[tex]c =-18t +72 + 140[/tex]

[tex]c =-18t +212[/tex]

Hence, the function is:

[tex]c(t) =-18t +212[/tex]

The expression 16t² represents the distance, in feet, an object falls after t seconds. The object is dropped from a height of 906 feet.

Answers

Complete Question:

The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906 feet. What is the height in feet of the object 2 seconds after it is dropped?

Answer:

H(2) = 842 feet

Step-by-step explanation:

Let the height be H.

Given the following data;

H(t) = 16t²

Height, H = 906 feet

Time, t = 2 seconds

To find the time, t at 2 seconds, we would use the following formula;

H(t) = H - 16t²

H(2) = 906 - 16(2)²

H(2) = 906 - 16*4

H(2) = 906 - 64

H(2) = 842 feet

Therefore, the height in feet of the object 2 seconds after it is dropped is 842.

Express (x+1) (x+1) as a trinomial in standard from

Answers

Answer:

x^2 + 2x + 1

Step-by-step explanation:

(x + 1)(x + 1) = x^1 + x + x + 1 = x^2 + 2x + 1

Answer:

x² + 2x + 1

Step-by-step explanation:

(x+1)(x+1)

x² + 1x + 1x + 1

Marty bought a piece of material that was 68 yard long and a piece that was 48 yard long. Which statement is TRUE? A. 48> 68 B. 68< 48 C. 68> 48 D. 48= 68

Answers

Answer:

C

Step-by-step explanation:

68 is bigger than 48...

Please Help me ive posted this like 8 times !!!!!

The freshman class of 175 students went on a field trip. For transportation, they needed both vans (which hold 5 students each) and buses (which hold 35 students each). There was a total of 11 vehicles used.

How many of each type of vehicle did they use?

Vans: _________________
and

Buses _________________
.

Answers

Answer:

You will need 7 vans and 4 buses

Step-by-step explanation:

7 vans would take care of 35

4 buses would take care of 140 kids

and it uses a total of 11 vehicles

Hope this helps  

Answer:

Vans = 7

Buses = 4

Step-by-step explanation:

x = vans

y = buses

x + y = 11                           (1)

5x + 35y = 175                 Divide this equation by 5

x + 7y = 35                       (2)  

============

                                        Subtract (1) from (2)

x + 7y = 35

x +  y =   11

     6y = 24                      Divide by 6

     6y/6 =24/6

       y = 4

===========

x + y = 11

x + 4 = 11

x = 11 - 4

x = 7

Now Let's check it

x is the number of vans which holds 5 students each

7 * 5 = 35

y is the number of buses which holds 35 students each

4 * 35 =140

Total number of students = 35 + 140 = 175

So it checks.

Find the volume of the prism.


A drawing of a rectangular prism. It has length three-fourths meter, width one-half meter and height start fraction five over eight end fraction meter.


The volume is ____

cubic meters.

Answers

Answer:

V = 15/64 or 0.23

Step-by-step explanation:

Formula:

V = lwh

[tex]\frac{5}{8} *\frac{1}{2} *\frac{3}{4} \\V = \frac{15}{64}[/tex]

There are 48 cards un a pack and each card is either red or black. The ratio of the number of red cards to the number of black cards is 1:1 8red cards are removed from the pack Find the ratio of the number of red cards now in the pack to the number of black cards now in the pack Give ur answer in its simplest form

Answers

Answer:

2:3

Step-by-step explanation:

48=8x6

48/2=24

24-8=16

16:24

16/2=8

24/3=8

2:3

What is 2x-5=15 justified

Answers

Step-by-step explanation:

2x-5+5=15+5

2x= 20

X=10

Answer:

X=10

Step-by-step explanation:

2 x − 5 = 15

2 x = 20

x = 10

Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3

please give me the answer ill mark u brainliest

Answers

C the key is cookie boxes sold on the graph

(i will give the brainlyist please help) The solution to the system is (3, 4);
30 – 2y = 1
4y= 7 + 3
True
False

Answers

Answer:

true

Step-by-step explanation:

first and second one both make sense

The answer is False i am pretty sure

Someone plz help me plz

Answers

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .


Problem
There are 7 students in a class: 2 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

Answers

Answer:

2/7

Step-by-step explanation:

The total number of possibilities is 7 * 6 * 5

The number of possibilities for all girls is 5 * 4 * 3

so the probability is:

[tex]\frac{5*4*3}{7*6*5} \\\frac{4*3}{7*6} \\\frac{12}{42} = \frac{2}{7}[/tex]

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:

140.6 feet

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.

Step 1

We have to find Angle M

Sum of angles in a triangle = 180°

M + N + O = 180°

M = 180° - ( N + O)

M = 180° - ( 90° + 62°)

M = 28°

Step 2

We find the length of MN

We solve using Sine rule

MN/sin O = NO/sin M

MN/sin 90 = 66/sin 28

Cross Multiply

MN = sin 90 × 66/sin 28

MN = 140.58 feet

Approximately = 140.6 feet

Solve the equation, Write one solution, No solution, Infinitely Many Solution
5. 2.5 x + 20 = 25​

Answers

Answer:

x= 2

Step-by-step explanation:

Subtract 20 from both sides

2.5x + 20 − 20 = 25 − 20

2.5x= 5

Divide both sides by 2.5

2.5x/2.5= 5/2.5

x= 2

HELP!! I NEED HELP ASAP

Answers

75 Shield Darters.

Explanation:
2+2+2+3+4+4+4+4+6+6+7+7+7+8+9 = 75

Image is above! :)
What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 6x

Explaination:

slope intercept form is just y=mx+b, and since the slope is 6, you plug 6 into m, and then the y-intercept is 0, so you can drop it out of the equation

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=7°, and NO = 3.4 feet. Find the length of OP to the nearest tenth of a foot.​

Answers

Answer:

0.4

Step-by-step explanation:

I did it on deltamath

Answer:

x=0.4144≈0.4 feet

Step-by-step explanation:

Deltamath


[tex] \sqrt{18} - \sqrt[x]{2 } = \sqrt{32} [/tex]
solve for x

Answers

the x is 0 There are no values of
x
that make the equation true.
Undefined

i will give brainiest to the first one
aurora scored 572 marks out of 650 belle scored 450 out of 500 for the annual examination.

a. who performed better and by how much.

b .what percentage she scored

Answers

Step-by-step explanation:

a. Belle as she only missed 50 questions where as Aurora missed 78. (500-450) and (650-572)

b. Belle scored 90% (450/500=0.9)

Answer:

a. Belle scored better, by scoring 2% more than Aurora.

b. She scored 90%

Step-by-step explanation:

Make your denominator out of a 100

So you will divide by 6,5

572÷6,5/650÷65

= 88/100

=88%

And divide the other by 5

450÷5/500÷5

=90/100

=90%

Solve for x
4x = 51

1. x = 204
2. x = 47
3. x = 12.75

Answers

Answer:

#. x=12.75

Step-by-step explanation:

51/4

Lenora wants to build the bike ramp shown. Find the length of the base of the ramp.

Answers

Answer:

te lenght was base of the ramp

find the radius of the circle having circmference 88 cm​

Answers

about 14.01
hope that helps!!

Answer:

14

Step-by-step explanation:

just find the radius using 2*22/7*r

Plz answer if u really know it thanks so much

Answers

Y intercept is (0,3)
It represents growth
The asymptote is at x=2
Domain is (-infinity, 2)
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