M is directly proportional to r²
When r = 5, M = 200

Work out the value of r when M = 288.

Answer:

252 dollars

Step-by-step explanation:

so $3,500 * 2.4% is $84 * 3 gives you $252

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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The expected value of the amount of coins that come up heads is 2 coins.

The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.

Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.

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Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

Answer:

\( - 8 \times |2 = - 16| \)

The value of x in the equation is x = -8/30

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as

3x + 8 = 7.2

Subtract 8 from both sides of the equation

3x = -0.8

Divide both sides by 3

x = -0.8/3

Rewrite as

x = -8/30

Hence, the value of x in the equation is x = -8/30

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The area of the rectangle is increasing at a rate of 166 cm^2/s when the length is 15 cm and the width is 13 cm.

To find the rate at which the area of the rectangle is increasing, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).

We can differentiate both sides of the equation with respect to time (t) to obtain:

dA/dt = (dl/dt)w + l(dw/dt)

Here, dl/dt is the rate of change of the length, which is given as 7 cm/s, and dw/dt is the rate of change of the width, which is given as 5 cm/s.

We can substitute these values along with the given values of length and width (l = 15 cm and w = 13 cm) to obtain:

dA/dt = (7 cm/s)(13 cm) + (15 cm)(5 cm/s)

dA/dt = 91 cm^2/s + 75 cm^2/s

dA/dt = 166 cm^2/s

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Answer: f(-3) = -27 & f(3) = 27

Step-by-step explanation:

(-3)^3

-27

(3)^3

27

Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.

Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.

let's

x = Kieran's number

y = Louise's number.

x - 4 = 2y

x - 2y = 4

3 lots of Kieran's number added to Louise's number is 68.

Hence,

3x + y = 68

Hence, let's combine the system of equation.

x - 2y = 4

3x + y = 68

multiply equation(i) by 3

3x - 6y = 12

3x + y = 68

-7y = -56

y = -56 / -7

y = 8

Therefore, let's find x

x = 4 + 2y

x = 4 + 2(8)

x = 4 + 16

x = 20

Hence,

Kieran number = 20

Louise number = 8

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Answer:

slope: 1/2

Step-by-step explanation:

(2,7) and (4,6) are the points

the formula for finding slope when there are two points is

y2-y1/x2-x1

6-7/4-2=1/2

We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø

Answer:

Mark!

Step-by-step explanation:

say you have 20 cookies, Mark ate on fifth so that would be 4, bringing him with 16 left

Chris ate 1/4 which would be 5, he would have 15 left

Answer:

0

Step-by-step explanation:

Here, given the function f(x), we want to calculate f(1)

Mathematically, this means we shall substitute 1 for the value of x in that function.

Thus, given F(x) = 1-x

Then F(1) would be = 1-1 = 0

The center of the circle is (-2, 2) and the radius is approximately 19.1.

All points in a plane that are equally spaced from a predetermined centre point make up a circle, which is a geometric object. Typically, a circle's equation is written as\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) stands for the circle's center's coordinates and r is the radius, or the distance from the centre to any point on the circle.

All of the positions (x, y) that meet the requirement of being r distances from the centre are described by the equation. This equation enables computations concerning the characteristics of circles, such as their diameter, area, and intersection with other shapes, by allowing us to graphically represent and manipulate circles in a coordinate plane.

To find the center and radius of the given circle, we need to put the equation in standard form, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center of the circle and r is the radius.

Expanding the given equation, we get:
\(x^2 + 4x + 4 + x^2 - 4x + 4 = 361\)

Simplifying and combining like terms, we get:
\(2x^2 + 8 = 361\)

Subtracting 8 from both sides, we get:
\(2x^2 = 353\)

Dividing both sides by 2, we get:
\(x^2 = 176.5\)

Taking the square root of both sides, we get:
x = ±13.3

Substituting x = 13.3 into the equation, we get:
(13.3 + 2)2 + (13.3 - 2)2 = 361

Simplifying, we get:
(15.3)2 + (11.3)2 = 361

Adding and taking the square root of both sides, we get:
r = \(\sqrt{(15.32 + 11.32) } = \sqrt{365}  = 19.1\)

Therefore, the center of the circle is (-2, 2) and the radius is approximately 19.1.

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Answer: The exsact value is 5 f move 5 to the let of5

Step-by-step explanation:

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here is the step-by-step explanation:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0

3. Simplify further:
28-7/6

4. Find a common denominator and combine the terms:
168/6-7/6

5. Simplify the expression to get the final numerical value:
161/6

Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here are the steps to do this:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0

3. Simplify the exponents:
4(7)-1(7/6)+0

4. Multiply the numbers:
28-7/6+0

5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6

So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

Answer:

-1.25

Step-by-step explanation:

thats the answer on khan

The inequality that can be used to determine d, the maximum number of days Malik can afford to rent for while staying within his budget is 26.03d + 0.13m ≤ 350.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this case, the rental car company charges $26.03 per day to rent a car and $0.13 for every mile driven

Let the number of days be d.

Let the number of miles be m.

The appropriate inequality to illustrate this is 26.03d + 0.13m ≤ 350.

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Answer:

3/2

Step-by-step explanation

1.5*10=15/10. And 15/10 simplified is 3/2.

The graph represents the relationship between the number of games downloaded and the total cost in dollars. The ratio of total cost to the number of games downloaded is $2.50 per game.

The given graph shows the relationship between the number of games downloaded and the total cost in dollars of the downloads. It can be observed that when 2 games are downloaded, the total cost is $5.

To determine the ratio of total cost to the number of games downloaded, we divide the total cost by the number of games.

This results in a ratio of $2.50 per game downloaded. Thus, the ratio of total cost (in dollars) to the number of games downloaded is $2.50 per game.

This means that on average, each game downloaded costs $2.50.

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Answer:

C. 1/3

Step-by-step explanation:

there are 48 possible outcomes, and out of those 16 of them have a sum of 3.

16/48

simplify

1/3

Answer:

(40 + 16) /4

(40/4)+(16/4)
10 + 4 = 14

hope this helps

The z-score for a data value of 119 is equal to -1.4.

The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that

z-score = (x – μ) / σ

where x = sample data value

μ = mean

σ = standard deviation

Based on the problem, the sample data value is 119, the mean is 133, and the standard deviation is 10. Substitute these values into the equation and solve for the z-score.

z-score = (x – μ) / σ

z-score = (119 - 133) / 10

z-score = -14 / 10

z-score = -1.4

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Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

The variable represented in the statement "record the percentage change in the price of a stock for 100 stocks publicly traded on wall street." is a Quantitative Variable .

The Quantitative variables are defined as numerical which represent a measurement or a count.

In the statement :  the percentage change in the price of a stock is a numerical representation of the amount of change in the price of a stock, expressed as a ratio or a percentage.

Therefore ,  the variable "percentage change in the price of a stock" is a quantitative variable because it is numerical and represents a measurement of change in the price of a stock.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

8 quarts

Step-by-step explanation:

There are 4 quarts in one gallon. The expression would be:

2x4= how many quarts there are.

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SOLUTION

We want to find the interquartile range of the box and whisker plot in the picture.

Interquartile range is calculated as

In the box and whisker plot

Hence the answer is 6

Improved concentration is a result of educated efforts, leading to the discovery of inspiring words that satisfy the ache for growth and progress.

Concentration plays a crucial role in enhancing productivity and achieving success. When one's ability to concentrate improves, it becomes easier to focus on tasks at hand and delve deeper into the subject matter.

This improvement is not a mere coincidence but a result of deliberate and educated efforts. By employing various techniques such as time management, minimizing distractions, and practicing mindfulness, individuals can train their minds to concentrate better.

During the process of developing concentration skills, one may come across a variety of words that inspire and motivate. These words act as catalysts, triggering a desire for growth and progress. When exposed to meaningful and impactful words, individuals can feel a sense of inspiration that propels them forward.

These words have the power to ignite passion, instill determination, and awaken creativity. The discovery of such words acts as a driving force, reminding individuals of their goals and aspirations, and helping them stay focused on their journey of self-improvement.

As concentration improves and inspiring words are discovered, individuals experience a satisfying sense of accomplishment. The ache for personal and professional growth finds solace in the progress made through educated efforts.

With improved concentration, individuals can delve deeper into their studies, work on complex projects, or pursue their passions with unwavering dedication. This satisfaction stems from the knowledge that their hard work and commitment have paid off, resulting in tangible advancements and personal development.

In conclusion, the path to improved concentration begins with educated efforts and leads to the discovery of inspiring words. These words serve as sources of motivation, fueling the desire for progress and growth.

As individuals concentrate better, they experience a satisfying sense of accomplishment, knowing that their efforts have yielded positive outcomes. By continuously honing their concentration skills and seeking inspiration through words, individuals can unlock their full potential and achieve their goals.

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