For what values of x is the perimeter of the figure greater than 112 ​meters?

Select the correct choice below and fill in the answer box to complete your choice.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

100000000

Step-by-step explanation:

10^1=10

10^2=100

10^3=1000

10^4=10000

10^5=100000

10^6=1000000

10^7=10000000

10^8=100000000

The number 0.14 is bigger than 0.135.

To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.

Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.

In summary, the order of the numbers from smallest to largest is:

0.135 < 0.14.

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It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

3n+15

Step-by-step explanation:

three (3) times (\(*\\\)) a number (n) added (+) to fifteen (15)

3n+15 is your answer

Hope this helps!

Answer:

The first one would be 9

The second one would be 4

Step-by-step explanation:

By adding the same numbers, you make the equations equal and therefore true.

Answer:

vgggghujvgjjihgfdryujgfdfg

Answer:

s=10.92

r=11.467

Step-by-step explanation:

3²+10.5²=s²

9+110.25=s²

119.25=s²

√119.25=s

s=10.92

3.5²+10.92²=r²

12.25+119.25=r²

131.525=r²

√131.5=r

r=11.467

Answer:

The value of p is;

Explanation:

Given the equation;

To solve for p, let us at 5 to both sides;

divide both sides by 6;

Therefore, the value of p is;

The final factorization is thus;

Here, we want to factor the polynomial

From the question, we are told that k is a factor;

The given polynomial is a polynomial of degree 3; that means there are 3 linear factors

We already have the first factor and we are left with two others to determine

To determine these, we have to divide the given polynomial by the first linear factor

We can do this by the use of the long division method

We have the result of the long divison as follows;

Now, what we have left to factorize is the quadratic trinomial

We have this as;

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Answer:

11,500

Step-by-step explanation:

cost price of a book (CP) = 10000

profit percent = 15%

selling price of a book (SP) = ?

SP = CP + profit% of CP

=10000 + 15 / 100 * 10000

=1000000 + 150000/100

=1150000/100

=11500

Therefore, the book will cost 11,500

The distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and  (x_2, y_2) is city b coordinates.

Given,

Two cities a and b are mapoed on the coordinate plane.

We need to find the distance between them.

One point has (a,b) coordinates.

The other point has (c,d) coordinates.

The distance between them is given by:

square root {(c-a)^2 + (d-b)^2}

Let,

City a has (x_1, y_1) coordinates.

City b has (x_2, y_2) coordinates.

Find the distance between city a and city b.

Distance = square root {(x_2 - x_1)^2 + (y_2 - y_1)^2}

Thus the distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.

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Answer:

we will assume a variable X for time which is time between two successive bites and time until next bite.

X = (time between successive mosquito bites) = (time until the next mosquito bite).

According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.

X is a geometric random variable, so

E[X] = 1/p = 10

and

var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90

Answer:

16.25 acres

Step-by-step explanation:

If corn is 1/4 of the land and we have 65 acres, we merely multiply 1/4 to 65.

You get 16.25 acres.

Answer:

16.25acres

Step-by-step explanation:

65/4=16.25 or 16 and 1/4

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Answer:

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

the absolute value of (-8) is 8 and the absolute value of (2) is 2

so l-8l>l2l

Step-by-step explanation:

Formula:

C^2 =a^2 + b^2

Answer = 4.47

Nearest tenth= 4.5

The length of the third side of the triangle is 4.5 units.

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Here, sides of triangle is AB = 4 , BC = 2

By Pythagoras Theorem,

AC² = AB² + BC²

AC² = 4² + 2²

AC² = 20

AC = √20

AC = 4.47

AC = 4.5

Thus, the length of the third side of the triangle is 4.5 units.

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Answer:both are right both equal 28 I believe

Step-by-step explanation:

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Solution:

The formula is given below as

Concept:

To figure out the 15th term, we will substitute n=15

By substituting values, we will have

Hence,

The final answer is

The THIRD OPTION is the right answer

Answer:

x=4°

Step-by-step explanation:

These are vertical angles meaning they have the same measurement.

We can make the equation: \(4x+17=2x+25\)

take away 2x from both sides to get \(2x+17=25\)

Then subtract 17 from both sides to get \(2x=8\)

Divide by 2 and you get \(x=4\)

Hope this helps!

Answer:

x=4

Step-by-step explanation:

the angles are the same

4x+17=2x+25

x=4

HOPE THIUS HELPS, BRANLIEST PLAESE

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).