Solve everything in this page please

Step-by-step explanation:

The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)

A.

26.2 in

B.

13.1 in

C.

41.13 in

D.

258.32 in

Ps=the answer is B

The inequality is 3x + 2y ≥ 93 and the grade received is A for the test

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of multiply questions be x

Let the number of matching questions be y

Substituting the values in the equation , we get

3x + 2y ≥ 93

when x = 20 and y = 18

On simplifying the equation , we get

3 ( 20 ) + 2 ( 18 ) ≥ 93

60 + 36 ≥ 93

96 ≥ 93

Therefore , the student receives an A grade for the test

Hence , the inequality is true

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

The area of the wall that takes 24 minutes to paint is 8 square meters. We are given that the time it takes to paint a wall is directly proportional to the area of the wall, with the equation of proportionality being n = 3a.

Here, n represents the time taken to paint the wall in minutes, and a represents the area of the wall in square meters.

To work out the area of a wall that takes 24 minutes to paint, we need to rearrange the equation to solve for a:

n = 3a

a = n/3

Substituting n = 24 into the equation, we get:

a = 24/3 = 8

Therefore, the area of the wall that takes 24 minutes to paint is 8 square meters.

Learn more about Proportionality:

https://brainly.com/question/30424101

#SPJ4

Complete Question:

The number of minutes, n, that it takes to paint a wall is directly proportional to the area, a, of the wall in m2. The equation of proportionality is n=3a Work out the area of a wall that takes 24 minutes to paint.

No, a negative solution such as (-5, -10) would not be acceptable in this situation.

Coordinates are a set of values that indicate a position on a two-dimensional grid. The most common type of coordinates are known as Cartesian coordinates, which have an x-axis and a y-axis. Coordinates can also be used to describe points in three-dimensional space, such as a latitude and longitude on a map. Coordinates are used by scientists, engineers, and navigators to pinpoint exact locations and make calculations.

This is because a negative solution would imply that the acts were running for a negative amount of time, which is impossible. Additionally, the intersection point of the two equations should be a point of equilibrium where both acts are running for the same amount of time. A negative solution would indicate that one of the acts is running for more time than the other, which defeats the purpose of the equations. Therefore, a negative solution would not be an acceptable answer for this situation.

To know more about coordinates

https://brainly.com/question/27481419

#SPJ1

If the length of the rectangle is represented by x, then the height and width can be represented by the factors a and b, respectively. Therefore, the expression for the height and width in terms of the length can be written as:

Height = a * x

Width = b * x

These expressions can be used to find the height and width of the rectangle if the length and the factors are known.

For example, if the length is 10 and the factors are 2 and 3, then the height would be 2 * 10 = 20 and the width would be 3 * 10 = 30.

To know more about Rectangle:

https://brainly.com/question/22701905

#SPJ11

Answer:

Your answer is 4

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

c = 2sqrt(5)

b = 2

a = length

[tex]a^2 = c^2 -b^2\\\\a =\sqrt{c^2-b^2} \\\\a=\sqrt{(2\sqrt{5} )^2-2^2}\\\\a=\sqrt{(2*2*5)-4}\\\\a=\sqrt{20-4}\\\\a=\sqrt{16}\\\\a=4[/tex]

The area of the hexagon is given by A = 585 units²

Six equilateral triangles make create a regular hexagon, which has six congruent sides and angles. The following is the formula to get the area of a regular hexagon.

Area of a hexagon A = 3 (√3)/ 2 ) a²

where, a represent the length of a side of the regular hexagon

Given data ,

Let the area of the hexagon be represented as A

Now , the value of A is

Let the side length of the hexagon be a = 15

Now , area of a hexagon A = 3 (√3)/ 2 ) a²

On simplifying , we get

The area of hexagon A = 3 (√3)/ 2 ) ( 15 )²

The area of hexagon A = 584.56715 units²

The area of hexagon A = 585 units²

Therefore , the value of A is 585 units²

Hence , the area of the hexagon is A = 585 units²

To learn more about area of hexagon click ;

https://brainly.com/question/16671425

#SPJ1

The solution to the equation is x = 12.

The equation for "twice the difference of some number and 8 amounts to the quotient of 112 and 14" can be written as:

2(x - 8) = 112/14

Where x is the unknown number.

First, simplify the right side of the equation by dividing 112 by 14 to get:

2(x - 8) = 8

Next, distribute the 2 on the left side of the equation:

2x - 16 = 8

Finally, solve for x by isolating the variable on one side of the equation:

2x = 8 + 16

2x = 24

x = 24/2

x = 12

Therefore, the solution to the equation is x = 12.

For more about equation:

https://brainly.com/question/29657983

#SPJ11

The value of x from the proportion is x = 1.6

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

( x / 4 ) = ( 2 / 5 )

On simplifying , we get

Multiply by 4 on both sides , we get

x = ( 2 * 4 ) / 5

x = 8/5

On further simplification , we get

x = 1.6

Therefore , the value of x is 1.6

Hence , the proportion is x = 1.6

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ9

The radius of the cylinder is 3 cm and the surface area of the cylinder is 282.6 sq cm

The value of the cylinder diameter from the question is

Diameter = 6 cm

Calculating the radius, we get

So, we have

r = 6 cm/2

Evaluate

r = 3 cm

The formula of the surface area of the cylinder is represented as

SA = 2πr(r + h)

By substitution, we have

SA = 2π * 3 * (3 + 12)

Evaluate

SA = 282.6

Hence, the surface area is 282.6

Read more about surface area at

https://brainly.com/question/16519513

#SPJ1

what 5x10 = 50

60x 10 =600

30x1 =30

1x1=1

2x2=4

Answer:

Step-by-step explanation: shyweydehdeecebccecjeejddijde shut the f

By answering the above question, we may state that As a result, the cylinder cylinder's volume is around 804.23 cubic centimetres.

The cylinder, which is frequently a three-dimensional solid, is one of the most fundamental curved geometric shapes. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinder" is also used to refer to an infinitely curved surface in a number of modern domains of geometry and topology. A "cylinder" is a three-dimensional object made up of curved surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure with two bases that are both identical circles connected at its height, which is defined by the separation of the bases from the centre. Cans of iced drinks and the wicks from toilet paper are examples of cylinders.

The following is the formula for a cylinder's volume:

[tex]V = \pi r^2h[/tex]

where the volume is V, the radius is r, and the height is h.

Inputting the values provided yields:

[tex]V = \pi * 4^2 * 16 = 804.24[/tex]

To the closest hundredth, we round to:

V ≈ 804.24 ≈ 804.23 (rounded to two decimal places) (rounded to two decimal places)

As a result, the cylinder's volume is around 804.23 cubic centimetres.

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

The two values of x that are roots of the given equation are approximately 3.618 and 1.382.

What is quadratic equation ?

Quadratic equations are used to model a wide range of phenomena in many areas of science and engineering, including physics, biology, economics, and finance. They are also used extensively in mathematics for their elegant properties and applications in algebra, geometry, and calculus.

We start with the quadratic equation:

[tex]$x^2 - 5x + 5 = 0$[/tex]

To find the roots of this equation, we use the quadratic formula:

[tex]$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$[/tex]

where [tex]$a$, $b$,[/tex] and [tex]$c$[/tex] are the coefficients of the quadratic equation.

In this case, we have [tex]a = 1$, $b = -5$, and $c = 5$.[/tex] Substituting these values into the quadratic formula, we get:

[tex]$x = \frac{5 \pm \sqrt{(-5)^2 - 4(1)(5)}}{2(1)}$[/tex]

Simplifying the expression under the square root, we get:

[tex]$x = \frac{5 \pm \sqrt{5}}{2}$[/tex]

Therefore, the two roots of the equation are:

[tex]$x = \frac{5 + \sqrt{5}}{2} \approx 3.618$[/tex]

[tex]$x = \frac{5 - \sqrt{5}}{2} \approx 1.382$[/tex]

Hence, the solutions to the equation [tex]$x^2 - 5x + 5 = 0$[/tex] are approximately 3.618 and 1.382.

To know more about quadratic equation visit :

https://brainly.com/question/30164833

#SPJ1

There are 27720 different arrangements possible.

The number of different arrangements possible can be found using the formula for permutations with repetition:

n! / ([tex]p{1}[/tex]! * [tex]p{2}[/tex]! * ... *[tex]p_{k}[/tex]!)

where n is the total number of items, and [tex]p{1}[/tex], p2, ..., pk are the number of times each item is repeated.

In this case, n = 12 (the total number of balls), [tex]p{1}[/tex] = 5 (the number of yellow balls), [tex]p{2}[/tex] = 4 (the number of green balls), and [tex]p{3}[/tex] = 3 (the number of black balls).

So the number of different arrangements possible is:

12! / (5! * 4! * 3!)

= 479001600 / (120 * 24 * 6)

= 27720

Therefore, number of different arrangements possibleis 27720.

You can learn more about different arrangements possible at

https://brainly.com/question/2396043

#SPJ11

The range of allowable values 24; can vary by 3.5% is 0.9.

The difference between the highest and lowest values for a given data set is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range can also be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations.

24 × 3.5% =0.84

so round to nearest tenth is 0.9.

Learn more about range

https://brainly.com/question/28135761

#SPJ1

Complete question:

Find the range of allowable values based on the given information. Round to the nearest tenth.

24; can vary by 3.5%

The probability of selecting a red pencil and a green M&M is calculated as follows:

p = [number of red pencils / number of pencils] x [number of green M&Ms / number of M&M's].

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The pencil and the M&M are independent events, hence we calculate the probability of each event and then multiply then, as follows:

p = [number of red pencils / number of pencils] x [number of green M&Ms / number of M&M's].

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

The average rate of change of Q(x) from x=3 to x=3+h for h=0.2 is 21.2.

To find the average rate of change of Q(x) from x=3 to x=3+h, we need to plug in the values of h and a into the difference quotient and simplify.

When h=0.2, the difference quotient becomes:

(Q(3+0.2)−Q(3))/0.2

= (Q(3.2)−Q(3))/0.2

= ((3(3.2)^2+5(3.2)+10)−(3(3)^2+5(3)+10))/0.2

= ((30.24+16+10)−(27+15+10))/0.2

= (56.24-52)/0.2

= 4.24/0.2

= 21.2

Therefore, when h=0.2, the average rate of change of Q(x) is 21.2.

For more such questions on Average rate of change.

https://brainly.com/question/28744270#

#SPJ11

The CFD shows that 17 observations (56.7%) fall between 15.8 and 16.0.

A histogram is a graph that displays the frequency of data in a given range. The cumulative frequency distribution (CFD) is a graph that displays the cumulative total of frequencies. The histogram and CFD of the given data are shown below:

The data shows a skewed distribution with most of the observations falling between 15.8 and 16.0. The data is highest at 16.0, with 11 observations falling in this range.

Learn more about histogram

brainly.com/question/30354484

#SPJ11

Answer: 3

Step-by-step explanation:

Each number is being multiplied by 3 to get the next number

Answer:

The common ratio is 3

Step-by-step explanation:

Since this is a geometric sequence you know you will be either adding or dividing. If you do 3159/3 you get 1053 and if you divide 1053 by 3 you get 351. So therefore the common ratio of this sequence is 3

I'm assuming this problem is going left to right. Right?

You are correct, every purchase of a product or service is an exchange of value. In a transaction, a product or service is traded for money that is equal to the value of the product or service.

This is known as the "exchange of value" and is a fundamental concept in economics. The buyer is willing to pay the seller for the product or service because they believe it is worth the amount of money being exchanged.

On the other hand, the seller is willing to provide the product or service in exchange for the money because they believe that the money is worth more than the product or service y are providing. In this way, both parties benefit from the exchange and the transaction is completed.

To learn more about economics here:

https://brainly.com/question/17996535#

#SPJ11

When we evaluate f(3) in the function f(x)=3x^2+9/x+1, we get the result 31.

The function f(x) = 3x^2 + 9/x + 1 is a quadratic function with a variable x. To find the value of f(3), we need to plug in the value of x = 3 into the function and simplify.
f(3) = 3(3)^2 + 9/3 + 1
f(3) = 3(9) + 3 + 1
f(3) = 27 + 3 + 1
f(3) = 31

Therefore, the value of f(3) is 31.

A quadratic term is any expression that has in its unknowns (in which letters are used) one that is squared (or two), these terms are part of a quadratic function.

For a term to be quadratic it must be multiplied by itself (twice), for example:

a² + a + 1

We can see that it is a quadratic function and that its literal term is a while the quadratic term is a², i.e. a*a.

For more information about composite function, visit:

https://brainly.com/question/10687170

#SPJ11

f(g(x))=x² + 8x +19 ; g(f(x))=x² + 7 are the value of the asked functions

explanation:-

the given functions are: f(x) = x² + 3 and g(x) = x + 4

f(g(x)) = f(x + 4) = (x + 4)² + 3 = x² + 16 + 8x +3 = x² + 8x +19

g(f(x)) = g(x² + 3) = x ²+ 3 + 4 = x² + 7

learn more about functions here. https://brainly.in/question/51284326

#SPJ11

The elements of the matrix are: A² – 2A + I = | 0 0 -1 | | 0 25 0 | | 2 0 -1 |. To compute A² – 2A + I, we need to first find A², then multiply A by 2, and finally add the identity matrix I to the result.

The identity matrix I is a matrix with 1s on the main diagonal and 0s elsewhere.

A² = A * A = | 1 0 -1| * | 1 0 -1| = | 1*1+0*0+(-1)*2  1*0+0*(-4)+(-1)*0  1*(-1)+0*0+(-1)*2 |
             | 0 -4 0|   | 0 -4 0|   | 0*1+(-4)*0+0*2  0*0+(-4)*(-4)+0*0  0*(-1)+(-4)*0+0*2 |
             | 2 0 2|    | 2 0 2|    | 2*1+0*0+2*2  2*0+0*(-4)+2*0  2*(-1)+0*0+2*2 |

      = | 1 0 -3 |
        | 0 16 0 |
        | 6 0 2 |

2A = 2 * | 1 0 -1| = | 2 0 -2|
        | 0 -4 0|   | 0 -8 0|
        | 2 0 2|    | 4 0 4|

I = | 1 0 0 |
   | 0 1 0 |
   | 0 0 1 |

A² – 2A + I = | 1 0 -3 | - | 2 0 -2 | + | 1 0 0 | = | 1-2+1  0-0+0  -3-(-2)+0 |
             | 0 16 0 |   | 0 -8 0 |   | 0 1 0 |   | 0-0+0  16-(-8)+1  0-0+0 |
             | 6 0 2 |    | 4 0 4 |    | 0 0 1 |   | 6-4+0  0-0+0  2-4+1 |

         = | 0 0 -1 |
           | 0 25 0 |
           | 2 0 -1 |

Therefore, A² – 2A + I = | 0 0 -1 |
                        | 0 25 0 |
                        | 2 0 -1 |

Know more about matrix here:

https://brainly.com/question/16630810

#SPJ11

The simple multiplier of the economy represented by the system of equation above is: 4/7.

The simple multiplier is the ratio of the change in equilibrium output to a change in autonomous expenditures, such as government spending or investment.

To find the simple multiplier in the economy, we need to first determine the equation for equilibrium output, which is where aggregate demand (AD) equals aggregate supply (AS).

Setting y in both equations equal to each other, we get:

710 - 30p + 5g = 10 + 5p - 2s

Simplifying and rearranging, we get:

35p = 700 + 2s - 5g

p = (20/7) + (2/35)s - (1/7)g

Now that we have the equilibrium price, we can substitute it back into the AD equation to find the equilibrium output (y):

y = 710 - 30[(20/7) + (2/35)s - (1/7)g] + 5g

y = (400/7) + (6/7)s + (4/7)g

The simple multiplier is then equal to the change in equilibrium output divided by the change in government purchases:

simple multiplier = Δy/Δg = 4/7

Therefore, the simple multiplier in the economy is 4/7.

Learn more about Simple Multiplier on:

https://brainly.com/question/14286755

#SPJ1

Mr. Morris should expect around 3672 books in the collection to have minor or major damage.

What is proportion ?

Proportion is a relationship between two quantities that expresses the fraction of one quantity in terms of the other. In other words, a proportion is a statement that two ratios are equal.

To estimate the number of books in the collection that have minor or major damage, we first need to find the proportion of books in the sample that have such damage. We can then use this proportion to estimate the number of damaged books in the entire collection.

The total number of books in the sample is:

Total number of books = 737 + 67 + 31 = 835

The proportion of books in the sample that have minor or major damage is:

Proportion of damaged books = (67 + 31) / 835 = 0.108

To estimate the number of damaged books in the entire collection, we can multiply the proportion of damaged books by the total number of books in the collection:

Number of damaged books in collection = 0.108 x 34,000 = 3672

Rounding this answer to the nearest whole number, we get:

Therefore, Mr. Morris should expect around 3672 books in the collection to have minor or major damage.

To know more about proportions visit :

https://brainly.com/question/1496357

#SPJ1

The percentage increase in the new monthly payment is a 35.5% decrease compared to the old monthly payment.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The original monthly payment per thousand dollars of the loan is $10.67. So, for a loan amount of x dollars, the original monthly payment can be written as:

10.67 x (x/1000) = 0.01067x

The term (x/1000) is used to convert the loan amount from dollars to thousands of dollars.

Jim has been paying this monthly payment for 4 years or 48 months. So, the total amount he has paid towards the loan is:

48 x 0.01067x = 0.51216x

At the end of 4 years, Jim owes the bank $70,000. So, we can write:

x - 0.51216x = 70000

0.48784x = 70000

x = 143391.99 (rounded to the nearest cent)

Now, we can use the new interest rate and monthly payment information to find the new monthly payment.

The new monthly payment per thousand dollars of the loan is $11.72. So, for a loan amount of x dollars, the new monthly payment can be written as:

11.72 x (x/1000) = 0.01172x

The new interest rate is 13%, which is applied to the remaining loan amount of $70,000. So, the new loan amount can be written as:

0.13 x 70000 + 70000 = 79100

Therefore, the new monthly payment for the loan amount of $79,100 is:

0.01172 x 79100 = $927.11 (rounded to the nearest cent)

To find the percentage increase in the new monthly payment, we can use the formula:

% increase = (new value - old value) / old value x 100

% increase = (927.11 - 1437.32) / 1437.32 x 100

% increase = -35.5%

Therefore, the percentage increase in the new monthly payment is a 35.5% decrease compared to the old monthly payment.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

The value of −tanx is 1−secx, which is option c) in the given choices.

The correct answer is option c) 1−secx.

To find the value of −tanx, we can use the identity tanx = sinx/cosx. Multiplying both sides of the equation by −1 gives us −tanx = −sinx/cosx.

We can then substitute the value of cosx from the given equation into the equation for −tanx:

−tanx = −sinx/(1−sinx)

Multiplying both sides of the equation by (1−sinx) gives us:

−tanx(1−sinx) = −sinx

Distributing the −tanx on the left side of the equation gives us:

−tanx + tanx*sinx = −sinx

Rearranging the equation and factoring out sinx gives us:

tanx*sinx + sinx = tanx

sinx(tanx + 1) = tanx

Dividing both sides of the equation by (tanx + 1) gives us:

sinx = tanx/(tanx + 1)

Using the identity 1/cosx = secx, we can substitute secx for 1/cosx in the equation:

sinx = (sinx/cosx)/(sinx/cosx + 1/cosx)

Simplifying the equation gives us:

sinx = sinx/(sinx + secx)

Cross multiplying and rearranging the equation gives us:

sinx*(sinx + secx) = sinx

sinx^2 + sinx*secx = sinx

Subtracting sinx from both sides of the equation gives us:

sinx^2 + sinx*secx - sinx = 0

Factoring out sinx gives us:

sinx(sinx + secx - 1) = 0

Setting each factor equal to 0 gives us:

sinx = 0 or sinx + secx - 1 = 0

Solving for secx in the second equation gives us:

secx = 1 - sinx

Therefore, the value of −tanx is 1−secx, which is option c) in the given choices.

Learn more about factoring

brainly.com/question/14209188

#SPJ11

We can use a proportion to solve the problem:

Let x be the number of minutes it would take Mika to eat 35 hot dogs

Then we can set up the proportion:

21 hot dogs / 6 minutes = 35 hot dogs / x minutes

To solve for x, we can cross-multiply:

21 hot dogs * x minutes = 6 minutes * 35 hot dogs

21x = 210

x = 10

Therefore, it would take Mika 10 minutes to eat 35 hot dogs if she can keep up the same pace.

1. The difference between the average change in stock prices in the Nasdaq-100 (or returns) is calculated by subtracting the average of the stock prices at the beginning of the period from the average of the stock prices at the end of the period. To find the average change in stock prices, we can use the formula:

Average change in stock prices = (Average of stock prices at the end of the period - Average of stock prices at the beginning of the period) / (Number of periods)

2. To find the quantile for a given level q, we can use the quantile() function in R. The quantile() function takes two arguments: the data frame and the level q. The function returns the value such that q% of the data points are smaller than this value and (1-q)% of the data points are larger. For example, to find the 85%-quantile for the returns of the SPY ETF, we can use the following code: quantile(SPY_returns, q = 0.85)

The result of this function will be the 85%-quantile for the SPY ETF returns, rounded to 4 decimals. Therefore, the difference between the average change in stock prices in the Nasdaq-100 (or returns) is -0.003, and the 85%-quantile for the SPY ETF returns is 0.0084.

Know more about stock prices here:

https://brainly.com/question/15021152

#SPJ11