Can someone help me Write an equation for this graph?

Answer:

The required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Step-by-step explanation:

Given the sequence

5, 7, 9, 11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]7-5=2,\:\quad \:9-7=2,\:\quad \:11-9=2[/tex]

The difference between all the adjacent terms is the same and equal to

d = 2

So

Thus, the nth term of the sequence is

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substitute a₁ = 5 and d = 2 in the sequence

[tex]a_n=2\left(n-1\right)+5[/tex]

[tex]a_n=2n+3[/tex]

Therefore, the required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Answer:

0.5 pounds!

Step-by-step explanation:

Answer:

the width be 70 yards

Step-by-step explanation:

The computation of the width of the field is as follows:

As we know that

The Perimeter of the rectangle is

= 2 × (length + width)

Where

Perimeter is 340 yards

Let us assume the width be x

So, the length would be x + 30

Now put these values to the above formula

340 = 2 × (x + x + 30)

340 = 2 × (2x + 30)

340 = 4x + 60

4x = 280

x = 70

The length would be

= 70 + 30

= 100

Hence, the width be 70 yards

Answer:

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246

Step-by-step explanation:

Given that:

Number of volumes = 4

1st volume = x pages

2nd volume = 54 more = x + 54

3rd volume = 32 more = x + 54 + 32

4th volume = 32 more = x + 54 + 32

Total number of pages = 866

Hence,

1st + 2nd + 3rd + 4th = 866

x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866

4x + 226 = 866

4x = 640

x = 160

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

A. Multiplication is the same as repeated addition.

B. Multiplying a fraction by an integer effectively multiplies only the numerator. The denominator remains unchanged.

C. (false -- see B)

D. A product is unchanged if a factor is removed from the multiplicand and is applied to the multiplier. (The associative property of multiplication tells you this.)

  4 × 1/6

  = (2 × 2) × 1/6 = 2 × (2 × 1/6)

  = 2 × 1/3

Answer:

600

Step-by-step explanation:

Answer:-9

Step-by-step explanation:

❤

Answer:

I cant see the question

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

9 + 4f - 7z

Use what they have given you

f = 6

z = 5

Now that you have those, all you need to do is substitute them into the expression

9 + 4f - 7z

9 + 4 (6) - 7 (5)

9 + 24 - 35

33 - 35

-2

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer: -2

9 + 4f - 7z

Use what they have given you

f = 6

z = 5

Now that you have those, all you need to do is substitute them into the expression

9 + 4f - 7z

9 + 4 (6) - 7 (5)

9 + 24 - 35

33 - 35

-2

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

x = 67

Step-by-step explanation:

2x - 17 + 63 = 180 {Linear pair}

     2x + 46  = 180    

             2x = 180 - 46

             2x = 134

               x = 134/2

              x = 67

[tex]\color{plum}\bold{x \tt \: = 67}[/tex]

∠63° and ∠(2x-17)° are a linear pair, so their sum will be equal to 180°.

Which means :

[tex] = 63 + 2x - 17 = 180[/tex]

[tex] = 63 + 2x = 180 + 17[/tex]

[tex] = 63 + 2x = 197[/tex]

[tex] = 2x = 197 - 63[/tex]

[tex] = 2x = 134[/tex]

[tex] = x = 67[/tex]

Let us place 67 in the place of x and see if the substitution is equivalent to 180° :

[tex] = 63 + 2 \times 67 - 17 = 180[/tex]

[tex] = 63 + 134 - 17 = 180[/tex]

[tex] = 63 + 117 = 180[/tex]

[tex] = 180 = 180[/tex]

Thus, the value of x we found out is correct.

Therefore, x = 67

Answer: 3/2

Step-by-step explanation:

To find the slope, you want to take the two points and plug it into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. That will find the slope. The points are (-5,-4) and (-1,2).[tex]m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}[/tex]

Now, we know that the slope is [tex]m=\frac{3}{2}[/tex].

Hi there! :)

[tex]\large\boxed{A = 22 \text{ , } M = 46 }[/tex]

We can solve by setting both equations equal to the same variable.

We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.

Rearrange the first equation by subtracting A from both sides:

M = -A + 68

Now that both equations equal to M, we can set the two equal to each other:

-A + 68 = A + 24

Add A to both sides:

68 = 2A + 24

Subtract 24 from both sides:

44 = 2A

Divide both sides by 2:

A = 22.

Plug this back into an equation to solve for M:

M + 22 = 68

M = 68 - 22

M = 46.

Answer:

Annuity.

Step-by-step explanation:

A sequence of payment made at equal time period is called an annuity.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

Answer:

2 shifts

Step-by-step explanation:

Amount earned washes dishes = 12 dollars / hour

Shift duration = 75 minutes

Cost of laundry = 12 quarters per load

Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters

1 quarter = 25 cents

120 quarters = (25 * 120) = 3000 cents

100 cents = $1

3000 cents = 3000/ 100 = $30

Hence, to make $30 from washing dishes :

$12 = 1 hour

$30 = x

x = 30 / 12

x = 2.5 hours

1 shift lasts 75 minutes

2.5 hours = (2.5 * 60) = 150 minutes

150 / 75 = 2 shifts

Answer:

5x-10

Step-by-step explanation:

8x-3x-10

first you subtract 3from 8 and get 5 just add the x so your left with 10

Answer:

-2(x+9)

Step-by-step explanation:

x-8-3x-10

-4x-18

-2(x+9)

Hope it helps you

Answer:

12/20

Step-by-step explanation:

Cosine is a trigonometric identity. It is a ratio of the adjacent side and hypotenuse of a right triangle.

The adjacent side to angle Θ is 12. The hypotenuse of this triangle is 20.

cosΘ in this case would be 12/20.

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

648 cups, 3 fluid ounces

Step-by-step explanation:

You need to know that 1 cup = 8 fluid ounces (fl. oz).

convert to fl. oz:

1296 cups = 10368 fl.oz.

total fl.oz. = 10368+6 = 10374

10374 / 2 = 5187 fl.oz.

= 648 cups and 3 fluid ounces

15 vg

18 vg

Just put a line in-between them to make a fraction.

Answer:

52 pages per 1 hour

Step-by-step explanation:

If Penny reads 13 pages in 1/4 of an hour you need to multiply 13 by 4 to see how many pages she will read in 1 hour.

The unit rate:

52 pages per hour.

0.02 hours per page.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

To find the unit rate of pages per hour, we need to convert 1/4 hour to hours first.

1/4 hour = 0.25 hour

Then, we can use the formula:

Unit rate = Pages ÷ Time

Unit rate = 13 pages ÷ 0.25 hour

Unit rate = 52 pages per hour

To find the unit rate of hours per page, we can use the reciprocal of the previous unit rate:

Unit rate = Time ÷ Pages

Unit rate = 0.25 hour ÷ 13 pages

Unit rate = 0.0192 hours per page

Rounded to the nearest hundredth, the unit rate is 0.02 hours per page.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

To do this problem you would need to have at least one side length AND the hypotenuse to figure out the other side length.

Answer:

200, 200

Step-by-step explanation:

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

CDA and BDA are the same

Step-by-step explanation:

Answer:

1) false

2) false

3) true

4)false

5) true

6) true

Answer:

(6243.99, 11014.53) ; 2385.27 ; (7998.17, 9260.34) ;

Step-by-step explanation:

Given the data:

6416; 1550; 2110; 9351; 21830; 4299; 5945; 5722; 2827; 2046; 5481; 5202; 5855; 2749; 10011; 6356; 27000; 9415; 7683; 3202; 17502; 9200; 7380; 18315; 6557; 13714; 17767; 7491; 2769; 2861; 1264; 7284; 28165; 5081; 11624

Using calculator :

Sample mean, m= 8629.25714

Sample standard deviation, s = 6943.92362

1.) T test distribution ;

Sample size, n = 35

Confidence interval (C. I) : m ± Zcritical * s/sqrt(n)

n = sample size = 35

Tn-1,0.025 = t34, 0.025 = 2.0322

C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(35))

C.I = 8629.25714 ± 2385.2689

Lower bound = 8629.25714 - 2385.2689 = 6243.98824

Upper bound = 8629.25714 + 2385.2689 = 11014.52604

(6243.99, 11014.53)

Error bound :

E = t34, 0.025 * (s/sqrt(n))

E = 2.0322 * 6943.92362 / sqrt(35)

E = 2.0322 * 1173.7373

E = 2385.27

C.)

If n = 500

C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(500))

C.I = 8629.25714 ± 631.08285

Lower bound = 8629.25714 - 631.08285 = 7998.17429

Upper bound = 8629.25714 + 631.08285 = 9260.33999

(7998.17, 9260.34)

Error bound :

E = t34, 0.025 * (s/sqrt(n))

E = 2.0322 * 6943.92362 / sqrt(500)

E = 2.0322 * 310.54170

E = 631.08

Both the error margin and the confidence interval reduces due to large sample size.

Answer:

The court has a length of 70 feet, and a width of 35 feet.

Step-by-step explanation:

We know two things:

the the length is twice the width

l = 2w

We also know that  the perimeter is 210 feet.  Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:

210 = 2w + 2l

Now we can substitute the first definition of l into the second equation:

210 = 2w + 2(2w)

And now we can solve for w:

210 = 2w + 2(2w)

210 = 2w = 4w

210 = 6w

w = 210 / 6

w = 35

Now that we have w, we can plug that into our first little equation to find l:

l = 2w

l = 2 × 35

l = 70

So the width of the court is 35 feet, and it's length is 70.

Answer:

2/18

Step-by-step explanation:

because i multiplied 1/9 by 2