A boy can travel 11 miles on his bicycle in 2 hours. At the same rate,
how far can he travel in 75 minutes?

The area enclosed by the ripple is increasing at the rate of 75.39ft²/s when the radius is 3 feet.

The stone is dropped into the pond and it creates circular ripples whose radius increases at constant rate of 2.5ft/s.

We know, the area of the circle is πR², where R is the radius of the circle.

Differentiating the area of circle A with respect to time,

We get,

dA/dt = 2πR.dR/dt

dR/dt is the rate of change of radius of the circular ripples.

Putting R = 3 ft. we get,

dA/dt = 2π.3.2.5

dA/dt = 75.39 ft²/s.

So, the rate of change/increasing of area of the ripple is 75.39ft²/s.

To know more about differentiation, visit,

https://brainly.com/question/954654

#SPJ4

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

Learn more about equilibrium here: https://brainly.com/question/13463225

#SPJ4

The proper equations in Pattern A with the appropriate values on the right side are:

3.675 • 10 = 36.750

3.675 • 100 = 367.500

3.675 • 1,000 = 3,675.000

The correct equations in Pattern B with the precise values on the right side are:

3.675 • 0.1 = 0.3675

3.675 • 0.01 = 0.03675

3.675 • 0.001 = 0.003675

Pattern A:

The equations in Pattern A are incorrect due to not possessing the adequate number of decimal places in the products. In each equation, the end result should have one additional decimal place as compared to the initial number being multiplied.

Pattern B:

The equations in Pattern B are flawed because they inaccurately reflect the number of decimal places in the outcomes. In each equation, the results should display one fewer decimal place when compared to the original number being multiplied.

Learn more about decimal places at

https://brainly.com/question/26090574

#SPJ1

0.020 is a probability for student selects at least 6 .

What is a probability simple definition?

There are two ways to do it. You can either interpret this as

One minus the probability that the student will guess 5 or fewer

correct answers with a probability of a correct answer being = 1/4  ⇒      

0.0197277069

The probability that the student will guess 4 or fewer wrong answers

with a probability of a wrong answer being = 3/4

  binomcdf (10,3/4,4)

     = 0.0197277069

Either way it rounds to 0.020

Learn more about probability

brainly.com/question/11234923

#SPJ13

If a relationship set has some associated attributes, then it is enclosed in a double diamond. Correct option is B.

The double diamond notation represents an entity with a relationship that has additional attributes. It is used in an entity-relationship diagram (ERD) to show that the relationship between entities has additional properties or attributes.

By using the double diamond notation, we can visually distinguish relationships with associated attributes from simple relationships. It helps in designing and understanding complex data models by explicitly showing the attributes that describe the relationships between entities.

Overall, the double diamond notation is an essential tool in data modeling to represent relationship sets with associated attributes, providing a comprehensive view of the relationships in a database schema.

Learn more about database here:

https://brainly.com/question/30163202

#SPJ11

If a relationship set has some associated attributes, then it is enclosed in a Select one:

a. Circle

b. Double diamond

c. Rectangle

d. Diamond

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

Learn more about Even number:

brainly.com/question/2289438

#SPJ11

Answer:

the second answer

y=1/2x+3/4

To write the equation of a line passing through the point (8,4) and parallel to 8x-y=6, we need to first find the slope of the given line. We can rewrite the given line in slope-intercept form y=8x-6, where the slope is 8.

Since the new line is parallel to the given line, it will have the same slope of 8. Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting in the values, we get:

y - 4 = 8(x - 8)

Expanding and simplifying, we get:

y = 8x - 60

This is the equation of the line in slope-intercept form.

To convert it to standard form, we move all the variables to one side and simplify:

-8x + y = -60

This is the equation of the line in standard form.

Learn more about passing here:

https://brainly.com/question/14367742

#SPJ11

Answer:

\( \boxed{\sf Length \ of \ the \ rectangle = 16 \ in} \)

Given:

Perimeter of rectangle = 48 in

Length = Twice the width

To Find:

Length of the rectangle

Step-by-step explanation:

Let width of the rectangle be 'w'.

So,

Length of the rectangle = 2w

\(\sf \implies Perimeter \ of \ rectangle = 2(Length + Width \\ \\ \sf \implies 48 = 2(2w + w) \\ \\ \sf \implies 48 = 2(3w) \\ \\ \sf \implies 48 = 6w \\ \\ \sf \implies 6w = 48 \\ \\ \sf \implies \frac{ \cancel{6}w}{ \cancel{6}} = \frac{48}{6} \\ \\ \sf \implies w = \frac{48}{6} \\ \\ \sf \implies w = \frac{8 \times \cancel{6}}{ \cancel{6}} \\ \\ \sf \implies w = 8 \: in\)

Width of the rectangle (w) = 8 in

Length of the rectangle = 2w

= 2 × 8

= 16 in

Answer:

Its a and b if you can click them both but its not c

Answer: A

Step-by-step explanation: A goes through the origin (0,0) which makes it proportional

Solution

For this case the total price represent 2.79

The tax on this case was 0.16

We can find the percent of the tax rate with the following operation:

And rounded to the nearest percent we got:

6%

Answer:

Step-by-step explanation:

let A=favorable outcomes for getting multiple of 2

they are 21,22,23,24,25,26,

41,42,43,44,45,46,

61,62,63,64,65,66

P(A)=18/36

let B=total of 8

favorable outcomes are 26,35,44,53,62

P(B)=5/36

P(A∩B)=3/36

P(A OR B)=P(A∪B)=P(A)+P(B)-P(A∩B)=18/36+5/36-3/36=20/36=5/9

Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.

Rational number:

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

To learn more about rational number visit: https://brainly.com/question/24398433

#SPJ4

Answer:

The answer is 175 grams

Step-by-step explanation:

100 than 150, its close to 175 if u estimate

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.

Given that f(x) is divided by (x+a) and leaves a reminder

Using the remainder theorem for polynomials we get,

f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.

Put x = -a, then

f(-a) = (-a+a)·g(-a) + r

f(-a) = (0)·g(x) + r

f(-a) = r

f(-a) is the remainder.

Hence f(-a) is the remainder when f(x) is divided by (x+a).

Learn more about remainder theorem here:

brainly.com/question/1550437

#SPJ4

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

5 yellow tiles should be removed.

The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.

Now, relating the two ratio -

6:15 = 4:(15 - x)

Performing cross-multiplication to find the value of x.

6 × (15 - x) = 4 × 15

Performing multiplication on both the Left Hand Side and Right Hand Side

90 - 6x = 60

6x = 90 - 60

Performing subtraction to find the value of x

6x = 30

x = \(\frac{30}{6}\)

Performing division to find the value of x

x = 5

So, the number of yellow tiles to be removed is 5.

Learn more about problems on tiles -

https://brainly.com/question/27997130

#SPJ4

The complete question is -

A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?

Answer:

3^6

Step-by-step explanation:

We know that A is 3^3 and B is 27 times that.

3•3•3=27

So B is 3•3•3• of 3^3 which is 3•3•3•3•3•3

Write the answer to the exponents which will be 3^6

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

To know more about Magnitude:

https://brainly.com/question/31022175

#SPJ2

Answer:

the answer is 16

Step-by-step explanation:

i dont see any model but thats the result. (also so u don't waste points u can just use a calculator for things like this in the future)

Answer:

I think its 16

Step-by-step explanation:

if you take 96/6 you get 16

if theres nothing specific to add or change then just divide like normal  

The value of the missing length √5

What Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given,

Hypotenuse = 3cm

One side = 2cm

Let the one side given be Base

Then, base = 2cm

Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle

By Pythagoras Theorem:

H² = P² + B²

If we have to find perpendicular then,

P² = H² - B²

or,

P = √H² - B²

Putting the values we get,

P = √(3)² - (2)²

P = √(9 - 4)

P = √(5)

P = √5

Hence, The missing length of the triangle is √5

To learn more about Pythagoras Theorem click on the link

https://brainly.com/question/343682

#SPJ9

residual = 3.48

The line of best fit underpredicts the temperature change.

============================================================

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

e = 3.48 is the residual

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.

Answer:

X = 8

Step-by-step explanation:

==> 5x-8x+5=-19

==> 5x - 8x = -19 -5

==> -3x = -24

-3. -3

==>x = -24

-3

==> X = 8

Answer:

4

Step-by-step explanation:

because 4x4 is 16

5x4 is 20

6x4 is 24

and so on

Answer:

f(x) = ax

Step-by-step explanation:

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

Answer: D. 1,248 cubic units

Step-by-step explanation:

The formula for a rectangular prism volume is: V = Length x Width x Height.

In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.

12 x 8 x 13 = 1,248. Therefore D is correct!

Hope this helped you!

The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

To know more about the solution of an inequality, here

https://brainly.com/question/11613554

#SPJ4

The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

The probability of the horse finishing in second place is approximately 0.29.

To convert the odds given as "29 to 71" into a probability value, we can divide the number of favorable outcomes (29) by the total number of possible outcomes (29 + 71 = 100).

The probability is calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes.

In this case, the probability is 29/100, which is equal to 0.29.

To convert odds to probability, we divide the number of favorable outcomes (29) by the total number of outcomes (29 + 71 = 100). The probability of the horse finishing in second place is 29/100, which simplifies to 0.29 or 29%.

This means there is a 29% chance or likelihood of the horse finishing in second place based on the given odds.

learn more about probability here

https://brainly.com/question/31828911

#SPJ11

The baseball field's fence, soil and sod requirements will be-: Length of fencing ≈ 1410.5 feet, Area of the sod ≈ 118017.13 ft², Area of of the field covered with dirt ≈ 7,049.6 ft²

To find the area of a sector of a circle:

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Circle's Area can be given by, (A)= π × r²

Circle's Circumference can be given by, (C) = 2 × π × r

Where, 'r' denotes the radius of the circle

The area of a quarter of a circle is therefore= A ÷ 4

The perimeter of a quarter of a circle = C ÷ 4

Taking reference from the image,

Fencing; (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass; π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

Learn more on the area of a sector of a circle here:

brainly.com/question/29140580

#SPJ1

Complete Question:Find the amount of fencing, dirt, and sod needed to rebuild the baseball field?(refer to image attached for dimensions of field)