Solve for j ??????????????????????????

The revolution per minute done by the wheel of a bicycle is 16.9 rev/min.

Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.

In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.

As per the given information in the question,

Diameter of wheel = 20 inch

Radius, r = 10 inch

The velocity of the bicycle, v = 13 mi/h.

Revolution, R = v²/r

R = 13²/10

R = 16.9 rev/min

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The numbers are plotted in the attached graph.

A number line is a representation of real numbers in the form of a graded straight line.

Note that 5/3 is approximately equal to 1.7.

Similarly, -5/3 is approximately equal to -1.7.

Now, use the number line to mark the points -1.7 and 1.7, the numbers lie near -2 and 2 respectively.

The numbers are plotted in the attached graph.

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Answer:

the perimeter is 129 inches

Step-by-step explanation:

4x² + 8x + 3x² - 5x + 20 + 7x + 30 + 31 =

= 7x² + 10x + 81

x = 2

= 7(2²) + 10(2) + 81

= 7(4) + 20 + 81

= 28 + 101

= 129

Answer: 129 in.

The value of a, and c is 1, -3, and 0;, using the factorization of factors.

What is factorization of expressions?

To factorize an algebraic statement, we first identify the terms' greatest common factors and then arrange the terms into groups in accordance with those groups. In plain English, factorization is the process through which an algebraic statement gets expanded in the opposite direction.

Not every term may share a factor in some algebraic formulas. For instance, have a look at the algebraic formula 12a + n -na - 12. There is no specific factor that unites the terms in this statement, yet the first and last terms share a factor of 12. The common factor between the second and third terms is n. Consequently, the terms can be rearranged as follows:

12a + n - na - 12= 12a - 12 + n - an

12a - 12 - a plus n = 12(a - 1) -n (a -1)

Following regrouping, each term's common component may be shown to be (a-1): 12a + n -na - 12=(a-1) (12 – n)

In the given question,

The expression is:

[tex]\frac{31x^{2}y}{x^{5}y}[/tex]

and after simplifying the expression, we get:

[tex]\frac{31}{x^{3}}[/tex]

So, Now comparing the equation, with a[tex]x^{b}[/tex]×[tex]y^{c}[/tex], we get;

b = -3;

c = 0;

a = 1;

Hence, The value of a, and c is 1, -3, and 0;

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Answer:

120 free throw attempts

Step-by-step explanation:

[tex]95\%=0.95[/tex]

[tex]0.95x=114[/tex]

[tex]x=\frac{114}{0.95}[/tex]

[tex]x=120[/tex]

Considering the definition of an equation and the way to solve it, the equation is y +(-3)=-8 and the solution is -5.

An equation is an algebraic equality in which letters appear with unknown value.

In an equation appears:

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true. To solve an equation, keep in mind:

Being "y" a number, and knowing that sum of a number and -3 is -8, the equation in this case is:

y + (-3)= -8

Solving:

y -3= -8

y= -8 +3

y= -5

Finally, the number "y" is -5.

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Step-by-step explanation:

5.

xnew = 205 = 2×xold + 5

200 = 2×xold

xold = 100

the old city machine can produce 100 copies per hour.

6.

2 cups of milk relate to 6 1/4 cups of flour.

such recipes represent a direct dependency of one variable on the other. one variable is always the other variable multiplied by a constant factor.

m = cups of milk

f = cups of flour

m = n×f

2 = n×(6 1/4) = n×(6×4 + 1)/4 = n×25/4

8 = 25n

n = 8/25

now, f = 43 3/4 = (43×4 + 3)/4 = 175/4

so,

m = 8/25 × 175/4 = (8×175)/(25×4) = 2×7 = 14

you will need 14 cups of milk.

Answer:

-2/5

Step-by-step explanation:

the slope is change in y over change in x

formula for slope is

(y2-y1)/(x2-x1), so if you input the coordinates, (10-(-2))/(-11-19) = 12/30 = 2/5

Step-by-step explanation:

To purchase $12,200 worth of restaurant equipment for her business, Linda made a down payment of $1600 and took out a business loan for the rest. After 3 years of paying monthly payments of $322.48, she finally paid off the loan.

(a) What was the total amount Linda ended up paying for the equipment

(including the down payment and monthly payments)?

How much on loan:

12,200 - 1,600 = $10,600 loan amount

How much paid on loan:

$322.48 * 3 years * 12 months = $11,608.28 amount paid on loan

Total paid:

= loan amount + amount paid on loan

$10,600 + $$11,608.28

= $22,208.28 paid overall

________________________________________

(b) How much interest did Linda pay on the loan?

= loan amount - amount  paid on loan

= $11,608.28 - $10,600

= $1,009.28 paid in interest

The values of the variables as represented in the right triangle are; (8√15)/3 and s = (4√15)/3.

It follows from the task content that the values of the variables in the right triangle are to be determined.

It follows from trigonometric ratios that;

Sin (∆) = opposite / hypothenuse

Cos (∆) = adjacent / hypothenuse

Tan (∆) = opposite / adjacent

It therefore follows from the attached image that;

Sin (60) = 4√5 ÷ p

p = 4√5 ÷ √3/2

p = (8√15)/3.

Also;

Tan (60) = 4√5 ÷ s

s = 4√5 ÷ √3

s = (4√15)/3

Therefore, the value of the variables are; p = (8√15)/3 and s = (4√15)/3.

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The time taken for the balance to grow is 2.3 years.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

"Interest on interest,

Given, compound interest =6.407

principal = 5,000

rate = 11%

to find the time

we know compound interest = principle(1+rate)^t

6407= 5000(1+11/100)^t

6407/5000= (1.11)^t

1.28 = (1.11)^t

taking log

log (1.28)= log(1.11)^t

0.24/0.104 =t

t = 2.3

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The fraction of page in the photograph is 3/32.

So, the fraction of the page in the photograph:

We know that,

Now, calculate as follows:

Therefore, the fraction of page in the photograph is 3/32.

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Answer:

=3/32

Step-by-step explanation:

(1/2÷4)*3/4

1/2*1/4*3/4

1/8*3/4

There-For The Answer Is:

=3/32

The solution of the geometric equation is x = 1/2 or x = 1

An equation is a mathematical expression that shows the relationship between variables.

A geometric series is the sum of a geometric sequence.

Since the equation 0 = ( 1 - X - X²-...) (2 - X - X²-...). To solve this, let the series x + x² + ... = p

So, 0 = ( 1 - X - X²-...) (2 - X - X²-...).

0 = (1 - [X + X²+...) (2 - [X + X²+...).

Substitute x + x² + ... = p. So,

0 = (1 - [X + X²+...) (2 - [X + X²+...).

0 = (1 - p)(2 - p).

So, (1 - p) = 0 or (2 - p) = 0

p = 1 or p = 2

Since x + x² + ... = p, the left side of the equation is the sum to infinity of a geometric series.

The sum to infinity of the geometric series is given by

S = a/(1 - r) where

For the given series,

So, S = a/(1 - r)

= x/(1 - x)

Since S = p, we have that

x/(1 - x) = 1 or x/(1 - x) = 2

So, x = 1 - x or x = 2 - x

x + x = 1 or x + x = 2

2x = 1 or 2x = 2

x = 1/2 or x = 2/2

x = 1/2 or x = 1

So, the solution is x = 1/2 or x = 1

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Using the multiplication operation, the greatest number of people who could be in the 380 rooms with space for 6 persons at the same time is 2,280.

Multiplication operation is one of the basic mathematical operations, including subtraction, addition, and division.

A multiplication operation involves applying the multiplier to the multiplicand to result in a product.

The total number of rooms in the resort = 380

The number of people per room = 6

380 x 6 = 2,280

Thus, by multiplication, if 6 persons occupy each of the 380 rooms, the resort will have 2,280 persons at a time.

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Step-by-step explanation:

that means that

$37.45 = 107%

as the price was 100% base price + 7% tax.

1% = 107%/107

100% = 1% × 100 = 107% × 100 / 107

so, the basic price (the "original cost") is

37.45 × 100/107 = $35.00

Answer:

  no, no, yes, yes

Step-by-step explanation:

You want to know which of the ordered pairs are solutions to the given system of equations: 6x -3y = 9, y = 2x -3.

The attached graph shows that the two equations describe the same line. The given points are plotted on the same graph. The ones on the line are solutions.

  (4, -5) . . . not a solution

  (-1, 8) . . . not a solution

  (7, 11) is a solution

  (0, -3) is a solution

Answer:

the answer is down there