36. Find the circumference of a circle with a radius of 8 kilometers. Use 3.14 or for T.
37.Find the area of a circle with a diameter of 26 inches. Use 3.14 or for T.

Answer:

y=12 .

180-106=74

74+3y+22+4y=180

96+7y=180

7y=84

y=12

4×12 = 48

Step-by-step explanation:

Good luck dear ;)

The proportional relationship for the table has a constant of 2.

A proportional relationship simply means a relationship that exist between the variables that have equivalent ratios.

In this case, the relationship in the ratio can be expressed as:

y = kx

where k = constant of proportionality

4 = 2k

Divide

k = 4/2 = 2

Thw relationship will be y = 2k. The constant here is 2.

Note that the equation wasn't given but the table has been duly explained.

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I typed the wrong answer and I cant delete so dont do it at all

Answer:

Parallel!!

Step-by-step explanation:

They're facing the same direction and are beside each other so its parallel!!

Answer:

B. Parallel

Step-by-step explanation:

Parallel Lines NEVER Touch

Answer: The 6th term would be 243.

Step-by-step explanation:

The pattern in this sequence is that it is multiplying by 3 each time.

1 x 3 = 3, 3 x 3 = 9, 9 x 3 = 27.

Now what you want to do is multiply 27 by 3 to get a product of 81, which would be the 5th term.

Lastly, you would multiply 81 by 3 to get an answer of 243.

Answer:

10 and 11

Step-by-step explanation:

The table of values on the given graph is for the polynomial y = -x+4.

The example we are using is a polynomial in one variable. It is to be represented graphically. The graph for it is given below.

From this graph, we can clearly see the coordinates of all points we have taken. In order to make the table of values, we need to find the x and y intercepts.

We see that the first point from the left is aligned to the -2 on the x-axis and to the 6 on the y-axis. Similarly, we can identify the following values from the given graph.

x = -2 and y = 6

x = -1 and y = 5

x = 0 and y = 4

x = 1 and y = 3

x = 2 and y = 2

This is the table of values that we found out through the graph.

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Answer:

  8Q1 +4Q2 ≤ 32

Step-by-step explanation:

You want to know Becky's budget constraint if she has a budget of $32 that she spends on Q1 movies at $8 each, and Q2 roller skating tickets at $4 each.

Becky's spending will be the sum of the costs of movie tickets and skating tickets. Each of those costs is the product of the ticket price and the number of tickets.

  movie cost + skating cost ≤ ticket budget

  8Q1 +4Q2 ≤ 32

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Answer: Let's assume Becky's budget is allocated as follows:

x: Quantity of movies (Q1)

y: Quantity of roller skating (Q2)

p1: Price of movies per person

p2: Price of roller skating per person

B: Budget

Given the following information:

Initial price of movies (p1) = $5 per person

Updated price of movies (p1') = $8 per person

Initial price of roller skating (p2) = $5 per person

Updated price of roller skating (p2') = $4 per person

Initial budget (B) = $32

We can calculate the maximum quantities of movies and roller skating using the formula:

Q1 = (B / p1') - (p2' / p1') * Q2

Q2 = (B / p2') - (p1' / p2') * Q1

Let's substitute the given values into the formula:

Q1 = (32 / 8) - (4 / 8) * Q2

Q2 = (32 / 4) - (8 / 4) * Q1

Simplifying the equations, we get:

Q1 = 4 - 0.5 * Q2

Q2 = 8 - 2 * Q1

These equations represent Becky's new budget constraint, considering the updated prices of movies and roller skating.

Answer:

don't click that guy's link it's a virus

I'm pretty sure the answer if 50% chance

Step-by-step explanation:

I just combined the probabilities because it's for both lights

hope it helps <3

Answer:

equiangular triangles are also called similar triangles. For example, triangle DEF is similar to triangle ABC as their three angles are equal. The length of each side in triangle DEF is multiplied by the same number, 3, to give the sides of triangle ABC.

Step-by-step explanation:

no explation

Answer:

D

Step-by-step explanation:

this is because it increases quickly and then increases more slowly

Answer: The distance is 5

Step-by-step explanation:

The formula for finding distance is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Given

x1=6

y1=2

x2=1

y2=2

Solve

 \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

=\(\sqrt{(1-6)^2+(2-2)^2}\)

=\(\sqrt{(-5)^2+(0)^2}\)

=\(\sqrt{25}\)

=\(5\)

Hope this helps!! :)

Please let me know if you have any questions

The function represents the distance when he uses g gallons on a highway.

The given function is:

If we want to find how far does all drives if he uses 4 gallons of gas, we need to replace g=4.

Then:

Hence, he will be 120 miles away if he uses 4 gallons of gas.

Answer:

AB=24ft

Step-by-step explanation:

3x+6=4x

6=4x-3x

6=x

AB=3x+6

AB=3(6)+6

AB=18 + 6

AB=24

The expression (12x +2)/ 25 = (10x+2)/21 can be simplified so that the value of x= 2.

The concept that will be used here is simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

We were given,  (12x +2)/ 25 = (10x+2)/21

then we can cross multiply as :

252x +42 = 250x +50

Then we collect the like terms as:

252x- 250x   = 50 - 42

2x = 8

x=4

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complete question:

simplify the expression and find the value of x?

Answer:

4(3x−1)(2x−3)

Step-by-step explanation:

Edit*

So first u common factor

24x^2-44x+12

4(6x^2-11x+3)

Then u use the sum product pattern

4(6x^2-11x+3)

4(6x^2-2x-9x-3)

Then find the common factor for both pairs

4(6x^2-2x-9x-3)

4(2x(3x-1)-3(3x-1))

Then rewrite in factor form

4(2x(3x-1)-3(3x-1))

4(2x−3)(3x−1)

Answer:

y = 26

Step-by-step explanation:

y=x^2+10; x=4

plug in the value

y=4^2+10

simplify

y=16+10

y=26

Therefore , the solution of the given problem of expressions comes out to be  the picture of a point P(x,y) on FG will be P'(-x,y), which is P'reflected across the y-axis.

Instead of using approximations produced at random, it is better to use shifting integers that may prove increasing, reducing, or blocking. They could only help one another by sharing materials, information, or solutions to issues. The justifications, components, or mathematical remarks for techniques like additional disapproval, production, and mixture may be included in a statement of truth equation.

Here,

The x-coordinates of all the locations on FG are transformed when FG is reflected across the y-axis, but the y-coordinates stay the same. As a result, the algebraic formula that characterizes this reflection is as follows:

(-x, y)

As a result, the picture of a point P(x,y) on FG will be P'(-x,y), which is P'reflected across the y-axis.

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Answer:

.50 = equally likely as unlikely

1 = certain

.25 = unlikely

0 = impossible

.75 = likely

Step-by-step explanation:

Think of these as percentages, it'll help you figure out.

.50 is 50%

1 is 100%

.25 = 25%

0 is 0%

.75 = 75%

Answer:

Step-by-step explanation:

3:3:2 = 3x +2x +3x = 8x

112 = 8x

x = 14

alex = 3x = 3(14) = 42

sara = alex = 42

henry = 2x = 28

After using the formula for the area of the triangle, we know that the area is 200 cm² when the height is 25 cm and the base is 16 cm respectively.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The easiest approach I've found to know for sure if an angle is 90 degrees is to use the 3:4:5 triangle.

According to this criterion, a triangle is a right triangle if the diagonal between its two points measures 5, even though one of its sides measures 3 and the other measures 4.

So, the formula for the area of the triangle is:

A = 1/2 *  base  *  height

Now, calculate the area by inserting the values as follows:\

A = 1/2 *  base  *  height

A = 1/2 *  16 *  25

A = 8 * 25

A = 200 cm²

Therefore, after using the formula for the area of the triangle, we know that the area is 200 cm² when the height is 25 cm and the base is 16 cm respectively.

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Answer:

y = -x + 30

Step-by-step explanation:

You will want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (an example is y = 2x - 1).

First, to find the slope you want to find how much x goes up by when y goes up by 1. You know from the table that when y goes up by 5, x goes up by -5 (using the points (10, 20) and (5, 25))

Then, you can divide each value by 5, so it would be when y goes up by 1, x goes up by -1. That means the slope is -1.

So far, the equation is y = -x + b. To find b, you can plug in one of the points you have and solve for b. For example, substitute in x = 10 and y = 20, so:

20 = -10 + b

add 10 to both sides

30 = b

So you know the equation is y = -x + 30

Please let me know if any parts of these explanation are confusing, I definitely think this concept can be confusing at time. Good luck with your work! :)

Answer:

To create an equation, you need to find the slope first. The slope formula is \(\frac{y^2-y^1}{x^2-x^1}\). Let's use two random coordinates: (10,20) and (5,25). Plug in these digits into the formula to get \(\frac{25-20}{5-10}\). Simplify to get \(\frac{5}{-5}\) or -1. The equation would look like y=-x+b. Now we need to find b. Again, let's use a random coordinate: (10,20). Plug in the digits into the variables to get 20=-10+b. Add 10 on both sides to get 30=b. So, the equation would be y=-x+30.

The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

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Given the word problem, we can deduce the following information:

1. The diameter of the circle is 3 meters.

2. The side length of the square is 3 meters.

To determine the difference in area between a circle and a square, we note first the formulas of a circle with a diameter d and the area of a square with side length d:

where:

d=diameter

where:

d=side length

The figures are shown below:

Based on this, the difference of areas would be:

Next, we plug in d=3:

Therefore, the difference in areas is:

Option c,  4x(2x5)=(4x2)x5 exemplifies the associative property of multiplication

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Answer:

A=3

B=15

Step-by-step explanation:

Since these are equivalent ratios, there is a constant scale factor for each number. As shown in the 8 and 24, we find the scale factor to be 24/8=3. This means that the second ratio's numbers are 3x bigger than the  corresponding ones in the first ratio. A = 9/3 = 3, and B = 5*3=15

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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(a) The amount of salt in the tank after t minutes is zero.

(b) The amount of salt in the tank after 10 minutes is 0 kg.

Given: Initial quantity of brine = 6000 L

Concentration of salt in the initial quantity of brine = 12 kgTotal time = t min

Rate at which water enters the tank = 60 L/min

The solution is kept thoroughly mixed and drains from the tank at the same rate. Therefore, the quantity of solution in the tank is constant.

For the solution in the tank, the amount of salt is constant.

So, the rate at which salt enters the tank = rate at which salt leaves the tank.

Let x kg of salt is in the tank after t minutes.

(a) How much salt is in the tank after t minutes?

The quantity of salt in the initial quantity of brine = 12 kg

Total quantity of solution in the tank = 6000 L

The rate at which water enters the tank = 60 L/min

Therefore, the rate at which salt enters the tank = (60/6000) × 0 = 0 kg/min

The rate at which solution drains from the tank = 60 L/min

Let the concentration of salt in the tank after t minutes be y kg/L

So, the rate at which salt leaves the tank = 60 y kg/min

According to the problem, the rate at which salt enters the tank = rate at which salt leaves the tank.=> 0 = 60 y kg/min=> y = 0

Therefore, the concentration of salt in the tank after t minutes = 0 kg/L

The amount of salt in the tank after t minutes = concentration of salt × Total quantity of solution in the tank= 0 × 6000= 0 kg

Therefore, after t minutes, there is no salt left in the tank.

(b) How much salt is in the tank after 10 minutes?

The amount of salt in the tank after 10 minutes = 0 kg (From part a)

Hence, It contains 0 kg of salt after 10 minutes.

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The earnings on an $18,500 savings account vary based on the compounding frequency. Annual compounding yields the highest earnings of $232, followed by quarterly, monthly, and daily compounding with earnings of $17.22, $3.32, and $0.60 respectively.

To compute the earnings for the year on a savings account, we can use the formula for compound interest:

A = \(P(1 + r/n)^{(n\times t)}\)

Where:

A = the total amount (including the principal and earnings)

P = the principal amount (initial savings)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Given:

P = $18,500

r = 1.2% = 0.012

(a) Annually:

n = 1 (compounded once a year)

t = 1 year

A = \(18,500(1 + 0.012/1)^{(1 \times 1)} - 18,500\)

= 18,500(1.012) - 18,500

= 18,732 - 18,500

= $232

The earnings for the year on an annual compounding basis are $232.

(b) Quarterly:

n = 4 (compounded four times a year)

t = 1 year

A = \(18,500(1 + 0.012/4)^{(4 \times 1)} - 18,500\)

= 18,500(1.003)⁽⁴⁾ - 18,500

= 18,517.22 - 18,500

= $17.22

The earnings for the year on a quarterly compounding basis are $17.22.

(c) Monthly:

n = 12 (compounded twelve times a year)

t = 1 year

A = \(18,500(1 + 0.012/12)^{(12 \times 1)} - 18,500\)

= 18,500(1.001)⁽¹²⁾ - 18,500

= 18,503.32 - 18,500

= $3.32

The earnings for the year on a monthly compounding basis are $3.32.

(d) Daily:

n = 365 (compounded daily)

t = 1 year

A = \(18,500(1 + 0.012/365)^{(365 \times 1)} - 18,500\)

= 18,500(1.00003287)⁽³⁶⁵⁾ - 18,500

= 18,500.60 - 18,500

= $0.60

The earnings for the year on a daily compounding basis are $0.60.

In conclusion, The earnings for the year on an $18,500 savings account depend on the compounding frequency. The earnings are highest when compounded annually ($232), followed by quarterly ($17.22), monthly ($3.32), and daily ($0.60).

The compounding frequency affects the frequency at which interest is added to the principal, resulting in different earnings over time. It is important to consider the compounding frequency when assessing the growth of savings and investments, as higher compounding frequencies can lead to greater overall earnings.

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