Evaluate a + 4 when a =87​

Answer: the 23rd term of the arithmetic sequence=91

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

an=a+  (n-1) d

Given common difference , d=4 and

first term is a^1 = 3.

We have that

a₂₃=3+  (23-1) 4

a₂₃=3+  (22) 4

a₂₃=3+  88

a₂₃=91

the 23rd term of the arithmetic sequence=91

Answer:

No solution is possible from the information provided

Step-by-step explanation:

you didn't include the function.

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

Answer:

[tex]AB = 21.3[/tex]

Step-by-step explanation:

Given

[tex]\sin(25) = \frac{9}{c}[/tex]

See attachment

Required

Find AB

We have:

[tex]\sin(25) = \frac{9}{c}[/tex]

Make c the subject

[tex]c = \frac{9}{\sin(25)}[/tex]

[tex]c = 21.3[/tex]

From the attached triangle;

[tex]AB = c = 21.3[/tex]

Hence:

[tex]AB = 21.3[/tex]

Answer:

10

Step-by-step explanation:

d = √(x2  -x1)² + (y2 - y1)²

√(-6 - 0)² + [1 - (-7)]²

√(-6)² + (8)²

√(36) + (64)

√100

= 10

Answer:

294(p)^7

Step-by-step explanation:

7(p)^2 x 3p x 14(p)^4

=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4

=> 21 x 14 x (p)^(2+1+4)

=> 294(p)^7

Answer:

[tex]6^{-5}[/tex]

Step-by-step explanation:

lmk if its right :)

Answer:

c

Step-by-step explanation:

to much working out but just as a summary section of working out

3*15=45

300+45=$345(1st year)

345+300=645

6.45*15=96.75

645+96.75=$741.75(2nd year)

keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)

The total money with Lin after 20 years will be $4910.   

The formula for compound interest -

[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]

Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.

We can write the total money with Lin after 20 years as -

[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]

A = 300(1 + 0.15/1)²⁰

A = 300(1 + 0.15)²⁰

A = 300 x (1.15)²⁰

A = 300 x 16.37

A = 4910

Therefore, the total money with Lin after 20 years will be $4910.   

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Answer:

35square meters

Step-by-step explanation:

5×7=35

Answer:

Sleeping - 30.2%

School - 17.6%

Homework - 0%

EC - 6.73%

Computer - 13.45%

Phone - 0%

Television - 1.68%

Excercise - 6.73%

Family time - 20.18%

Other - 3.36%

Step-by-step explanation:

hope this helps :)

Answer: -5/4

Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.

Answer:

2&3

Step-by-step explanation:

Answer:

[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

Step-by-step explanation:

we would like to figure out the second derivative of the following:

[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]

we can rewrite it thus rewrite:

[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]

by sum derivation we obtain:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]

by exponent derivation we acquire:

[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]

take derivative In both sides once again:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]

use difference rule which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]

use exponent derivation which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]

by law of exponent we get:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

hence, our answer is d)

Answer:

mean = adding up all the numbers then divid by number of numbers

Step-by-step explanation:

I.e 2 5 7 9 7 add up = 30

30 ÷ 5 = 6 so 6 is the mode

[tex]\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}[/tex] 

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

[tex]64 \: y + 6 \: x[/tex]

[tex] = 2 \: ( \: 32 \: y + 3 \: x \: )[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

2 ( 32y + 3 x)

Step-by-step explanation:

64 y + 6x

factor out 2 from the equation

2 ( 32y + 3 x)

Answer: 4) The center is located at (1, 3), and the radius is 6

Step-by-step explanation:

Solve the general equation of the circle.

x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2

Hence, the coordinates of the center (1,3) And the radius will be 6

The center is located at (1,3) and the radius is 6.

"The center is the point from which all of the points on the circle are the same distance."

"The radius is the exact distance from the center to any point on the circle."

We have

[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]

Add 1 and 9 on both sides of equation

⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]

⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]

⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)

We know the Standard form of equation of the circle

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

By comparing the standard form and equation (1)

Center (h, k) = (1, 3) and radius is 6

Hence, The center is located at (1,3) and the radius is 6.

Learn more about circle here

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Answer:

the third option

Step-by-step explanation:

Step-by-step explanation:

[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]

Answer:

I think 180

Step-by-step explanation:

I think 180 because it looks like M+n are supplimetary angles.

Sorry if this is wrong.

Answer:

48

Hope this helps!

Answer:

Hi, there the answer is -1

Step-by-step explanation:

Answer:

A. 10,000

Step-by-step explanation:

A. is 10,000, so it is equivalent to 10,000

B. -10,000    No

C. 100   No.

D. 10   No.

Answer:

a =9  b=0 c=6

Step-by-step explanation:

6+9x^2

Rewrite

9x^2 +0x+6

This is in the form

ax^2+bx+c

a =9  b=0 c=6

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm   and i Oop

Step-by-step explanation:

Answer:

Here we have the sequence:

0.5, 1, 2, 4, 8,...

A) we want to write the term to term rule.

We can see that each term is twice the one before, like:

2*0.5 = 1

2*1 =  2

2*2 = 4

2*4 = 8

etc.

So the term to term rule is just:

n-th term equals twice the previous term, or:

[tex]A_n = 2*A_{n-1}[/tex]

b) We can just construct the 7th term with the known ones:

We know that:

A₅ = 8

A₆ = 2*A₅ = 2*8 = 16

A₇ = 2*A₆ = 2*16 = 32

A₇ = 32

c) As each term in our sequence (unless for the first two ones) is a multiple of 2, we know that no odd number can be a term of this sequence.

1527 is an odd number, so this number can not be in the sequence.

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

its correct on EDGE2021

Answer:

Red: 13/41

Yellow: 19/41

Blue: 9/41