8.1 + 2.53


help
help

Answer:

[tex]a_{n}[/tex] = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n

Step-by-step explanation:

Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line

General formula for them should be y-5x=b where b is every number we want.

So one of them could be y-5x=0 or y-5x=2 ...

Answer:

Step-by-step explanation:

So, you wanna be a master?

Do you have the skills to be number 1?

(If not, I'll help you lol)

Okay, let's define what a circumference is.

Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.

The equation for finding the circumference is as follows:

[tex]2\pi r[/tex]

r - the radius, or half-way line is a circle.

So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.

#3

r = 15

[tex]2\pi (15) = 30\pi \\[/tex]

Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])

Circumference = 94.248

#4

r = 10

[tex]2\pi (10) = 20\pi \\[/tex]

Circumference = 62.832

Answer:

Angle BCD is 13 degrees

Step-by-step explanation:

Here, we want to find the measure of angle BCD

To get this, we need an appropriate diagram. The diagram can be seen in the attachment.

To find the value of BCD, we can use an important triangle theorem.

This is that the sum of opposite interior angles of a triangle equals the exterior angle.

Thus, we have that;

BCD + DBC = CDE

hence;

3x + 5 + 2x + 3 = 9x-12

5x + 8 = 9x -12

9x-5x = 8 + 12

4x = 20

x = 20/4

x = 5

So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13

Answer:

13°

Step-by-step explanation:

just solved on delta math

Answer:

.05

Step-by-step explanation:

Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

Answer:

by multiplying the same number twice

Step-by-step explanation:

example :

1 × 1 = 1

2×2 = 4

3×3 = 9

and so on....

Answer:

the value to be written is -2

Step-by-step explanation:

The first thing we will do here is to set the divisor equals to zero

The divisor is the denominator

Thus, we have x + 2 = 0

This indicates that x = -2

The term to be written in front of the coefficients is -2

Answer:

73.75

Step-by-step explanation:

comment and heart if this was helpful

Given:

Original cost of car = $21000

Rate of depreciation = 15% = 0.15

Time = 5 years

To find:

The value of car after 5 years.

Solution:

Consider the model for car depreciation is

[tex]V=C(1-r)^t[/tex]

where,  C is the original cost, V is the value of the car after t years, and r is the rate  of depreciation.

Substitute C=21000, r=0.15 and t=5 in the above model.

[tex]V=21000(1-0.15)^5[/tex]

[tex]V=21000(0.85)^5[/tex]

[tex]V=21000(0.4437)[/tex]

[tex]V=9317.7[/tex]

[tex]V\approx 9318[/tex]

The value of car after 5 years is $9318. Therefore, the correct option is C.

Answer:y=x

Step-by-step explanation: 13-18=-5

15-20=-5

-5/-5=1 slope

Using point slope take the first point and that slope to find the slope intercept.

Y-18=1(x-20)

Y=x-2

Answer:

-10x+7.5

Step-by-step explanation:

Step-by-step explanation:

what help do you need????

Answer:

i believe the answer is 569/115

a

Step-by-step explanation:

Answer:

A) x^2+25x+150

Step-by-step explanation:

Area = length x width

A = (x + 10) x (x + 15)

A = x^2 + 25x + 150

Answer:

The balance when the account went into overdraft was -38.02

Step-by-step explanation:

Let x be the balance when the account went into overdraft

To get back to a positive balance he deposited money at a steady rate of $20.06 per week.

Amount deposited per week = $20.06

Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]

Now amount in account after 8 weeks =x+160.48

We are given that After 8 weeks, he had $122.46 in the account.

So,x+160.48=122.46

x=122.46-160.48

x=-38.02

Hence The balance when the account went into overdraft was -38.02

28 is the LCM of 4 and 7 as 4*7 = 28

Answer:

The LCM of 4 and 7 would come out to 28.

Answer:

x=15 or 15=x hope this helps

Answer:

m= -1

Step-by-step explanation:

A graph that is y=x or y = -x should be easy to spot, but (0,2) and (2,0) make a -x line.

Answer:

32x+540

Step-by-step explanation:

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

Answer:

I believe it is false. Have a great day and good luck! also super sorry if this answer ends up being wrong :/

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(C) 12.5 if u need any help ask me.

Answer:

[tex]x = 112.5....... \: i.e \: option \: b.[/tex]

Step-by-step explanation:

[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:

m∠D = 14

Step-by-step explanation:

According to the vertical angle theorem, both of these angles are congruent.

This means that they are equal (m∠C = m∠D) and we can solve for x:

m∠C = m∠D

-x + 26 = 2x - 10 (substitute in the equations)

-3x + 26 = -10 (subtract 2x from both sides)

-3x = -36 (subtract 26 from both sides)

x = 12 (divide both sides by -3)

Now that we know what x is, we can find m∠D by plugging it back into the equation:

m∠D = 2x - 10

m∠D = 2(12) - 10 (substitute the value for x in)

m∠D = 24 - 10

m∠D = 14

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.

∠C = ∠D

-x + 26 = 2x - 10

3x = 36

x = 12

Then the measure of the angle D will be

m∠D = 2x - 10

m∠D = 2(12) - 10

m∠D = 24 - 10

m∠D = 14°

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer:

B

hope this helps :D

Answer:

b

c

d

e

Step-by-step explanation:

Answer:

8x^2 - 40x + 25

Step-by-step explanation:

The terms that show a difference of squares are given by:

10y² - 4x²

16y² - x²

It is when the square of two terms are subtracted, in the following format:

[tex]a^2 - b^2[/tex]

In this problem, the first two items are difference of squares, as:

[tex]10y^2 - 4x^2 = (\sqrt{10}y)^2 - (2x)^2[/tex]

[tex]16y^2 - x^2 = (4y)^2 - x^2[/tex]

More can be learned about difference of squares at https://brainly.com/question/24673551

Answer:

17

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

10=2x divided by 2 means x=5

Answer:x=2/3

Step-by-step explanation: