How do you solve this??

How Do You Solve This??

Answers

Answer 1

Answer:

[tex]a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.[/tex]

Step-by-step explanation:

1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.

2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):

[tex]a_n=-\frac{9}{4}+\frac{1}{4} n.[/tex]

3. for n=45:

[tex]a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.[/tex]


Related Questions

a bicycle was sold for $285 at a discount of 5% calculate the cost price of that bicycle​

Answers

270.75$ is the price of the bicycle

Answer:

Cost price = $300

Step-by-step explanation:

Let the cost price be = x

Discount % = 5%

Price after discount = $285

Find Cost price .

 [tex]Price \ after \ discount = x - (5 \% \ of \ x)\\\\285 = x - \frac{5}{100}x\\\\285 = \frac{100 - 5 }{100} x\\\\95x = 285 \times 100\\\\x = \frac{28500}{95} = \$ 300[/tex]

If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2

Answers

Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

           [tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]

Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16

Answers

B I think I’d the answe

Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?

Answers

The answer is 4 square root 80

A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.​

Answers

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour

Speed=distance/time

-change time from minutes to hours:
140= 2hours 20= 2.333

Speed=98/2.333
= 42 km/h

I think?

An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?

Answers

Answer:

13 exercises

Step-by-step explanation:

The number of exercises in the exam = 20

The points received for questions solved correctly = 8 points

The points taken off for exercises solved wrong = 5 points

The number of points Ben has = 13 points

Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;

0 < c + w ≤ 20...(1)

8·c - 5·w = 13...(2)

Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5

The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16

Therefore, when c = 6, and w = 7, we get;

8 × 6 - 5 × 7 = 13

The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20

When c = 11, we get;

8 × 11 - 5 × 15 = 13

11 + 15 = 26 > 20

The number of exercises Ben solved = 13 exercises

HELPPP ME PLEASEEEE asappp

Answers

Answer:

B.) √3/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For questions like this I recommend memorizing the Unit Circle, but for the sake of calculations here's how I do it using a calculator

cos(30) = 0.866025.....

So now I'll just go through the answers and see which is equivalent

A= 1.73...

B= 0.866025....

C=0.57735....

D=0.5

E=0.7071.....

F=1

You can see that B is equivalent.

35 into binary number

Answers

Answer:

35 in binary is 100011.

Step-by-step explanation:

To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.

The number 35 in binary form should be 100011

please helpppp its due nowwwww

Answers

Answer:

Step-by-step explanation:

instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.

Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees

Answers

Answer:

x = 78° , y = 115°

Step-by-step explanation:

The angle adjacent to x on the left side is corresponding to 102° , then

x = 180° - 102° = 78°

----------------------------------------

y and 115° are corresponding angles and congruent, then

y = 115°

i cant do this lollllllll

Answers

The answer would be 6. When you do the parentheses, it gives you 3. 3 squared is 9, which added with 9 is 18. 18 divided by 3 is 6.

Answer:

12

Step-by-step explanation:

first, do the question in parenthesis

then do the questions in the exponent

then do the question with division

then do addition part

(7-4)^2 = (3)^2

9/3 = 3

9+3 = 12

In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False

Answers

Answer:

False cuase 5 is in thousands

4,-7 -1,5 what’s the midpoint

Answers

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

Midpoint:  x,m , y,m =  ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex])    = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment -  ([tex]x_{m} , y_{m}[/tex]) = (4,5)

Simplify the expressions. 3p+-q-7r--8p-q+2r

Answers

Answer:

=11p-5r

Step-by-step explanation:

3p+(-q)-7r-(-8p)-q+2r=

3p-q-7r+8p-q+2r=

3p+8p-q-q-7r+2r=

11p-5r=

please help me i have geo finals​

Answers

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords.

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides

28x + 28 = 24x + 60 ( subtract 24x from both sides )

4x + 28 = 60 ( subtract 28 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-x^2 = - 36 (solve using inverse operations)

Answers

Answer:

x = ±6

Step-by-step explanation:

-x^2 = - 36

Divide each side by -1

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

what is the value of the expression below?​

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.

What is the complement of April choosing five pop CDs?

choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop

Answers

Answer:

Choosing five CDs where not all of them are pop.

Step-by-step explanation:

Answer:

B)  choosing five CDs where not all of them are pop

Step-by-step explanation:

E2020

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Answers

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

Ramesh went from place A to place B and then from place B to place CA is 10.8 km from B and place B is 15.5 km from place C, Rahul went from place A to place D and then place D to place C, distance between place A and D is 11.7 km and distance between place D and place C is 18.2 km, Who travelled more distance and by how much, also calculate the total distance between place A and place D and express the total distance in M,CM and KM.​

Answers

Answer:

Part A

Rahul by 3.6 km

Part B

The distance between A and D, through place C, d are;

The distance between A and D in meters, m = 44,500 m

The distance between A and D in centimeters, cm = 4,450,000 cm

The distance between A and D, in kilometers, km = 44.5 km

Step-by-step explanation:

Part A

The details of the journeys are;

The distance of A from B = 10.8 km

The distance of B from C = 15.5 km

The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C

Therefore;

d₁ = 10.8 km + 15.5 km = 26.3 km

The total distance Ramesh traveled, d₁ = 26.3 km

The distances of the journey of Rahul is as follows;

The distance between place A and D = 11.7 km

The distance between place D and C = 18.2 km

The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C

d₂ = 11.7 km + 18.2 km = 29.9 km

The total distance Rahul traveled, d₂ = 29.9 km

Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh

The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km

Therefore;

Rahul travelled more distance than Ramesh by 3.6 km

Part B

The total distance from place A to place D through place C, d₃, is given as follows;

d₃ = The distance from A to B + The distance from B to C + The distance from C to D

∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km

The total distance from place A to place D, d₃ = 44.5 lm

The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m

The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm

Please help me with this question.

Answers

Answer:

[tex]80\text{ square miles}[/tex]

Step-by-step explanation:

Since the map is using a scale of 1 inch : 5 miles, to find the scale of square inches to square miles, square the ratio:

[tex]\implies 1\text{ square inch}:25\text{ square miles}[/tex]

Since the section of land has an area of 3.2 square inches, the actual area of the section of land must be [tex]3.2\cdot 25=\boxed{80\text{ square miles}}[/tex]

Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...

Answers

Answer:

O B. 6, 13, 19, 24,

Step-by-step explanation:

because this is the correct answer

The answer would be D as it’s the only one with a scale factor which is multiplying by -1

Which radical expression, when simplified, equals -8?

Answers

Answer:

Where are the radical expressions?

Step-by-step explanation:

14. A polygon ABCD is inscribed in a circle. Find angle ABC

15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG

Answers

Answer:

m<ABC = 100degrees

m<IJG = 104degrees

Step-by-step explanation:

14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;

m<ADC + m<ABC = 180

3y+8+4y+4 = 180

7y + 12 = 180

7y = 180 - 12

7y = 168

y = 168/7

y = 24

Get <ABC

m<ABC  = 4y+4

m<ABC = 4(24) + 4

m<ABC = 96 + 4

m<ABC = 100degrees

15. Similarly for this;

GHI + IJG = 180

76 + m<IJG = 180

m<IJG = 180 - 76

m<IJG = 104degrees

Simplify......................​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{( {a}^{2} + {b}^{2} )}{a} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ {a}^{4} - {b}^{4} }{ {a}^{3} - a {b}^{2} } [/tex]

[tex] \\= \frac{ ({ {a}^{2} })^{2} - { ({b}^{2} })^{2} }{a( {a}^{2} - {b}^{2} )} [/tex]

[ ∵ (a²)² = [tex]{a}^{4}[/tex] ]

[tex] \\= \frac{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2}) }{a( {a}^{2} - {b}^{2}) } [/tex]

[tex] \\= \frac{( {a}^{2} + {b}^{2} )}{a} [/tex]

Note:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]

please complete the table.

Answers

Answer:

my answer in this picture.......

what is 11010^2 - 1101^2​

Answers

Answer:

-120,007,899

Step-by-step explanation:

Given :

[tex]11010^{2} -1101^{2}[/tex]

It can be solved as :

[tex]11010^{2} -1101^{2}[/tex]

121,220,100-1212201

-120,007,899

Therefore, answer will be -120,007,899

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{11,010^2 - 1,101^2}[/tex]

[tex]\mathsf{11,010^2}[/tex]

[tex]\mathsf{= 11,010 \times 11,010}[/tex]

[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]

[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]

[tex]\mathsf{1,101^2}[/tex]

[tex]\mathsf{= 1,101 \times 1,101}[/tex]

[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]

[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]

[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.

Answers

Answer:

He paid $640 out of his total $3,200 for the month.

As a fraction it is (640/3200) which equals (1/5)

We want it as a percentage so we multiply the fraction by 100.

1/5×100=20%

20% is the final answer.

Help me plssss? Thanks

Answers

Answer:

B

Step-by-step explanation:

AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons

Answers

Answer:

x = 79°

Step-by-step explanation:

∠ABE = ∠BEF  = 41°           [Alternate angle ]

Now sum of angles of a triangle = 180°

Therefore,

∠EBF + ∠BEF + ∠BFE = 180°

60° + 41° + x = 180°

x = 180° - 60° - 41°

x = 79°

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