colleen's photo is 9 inches long and 7 inches wide. is it larger or smaller than ali's photo? explain how you know.

Answer:

7 is the answer hope it will help you

Answer:

l = 12.25 m²

Step-by-step explanation:

Here, l = 3½ m = 3.5m

∴ Now, The area of a square is

= l²

= (3.5)² m

= 12.25 m²

Thus, The area of a square is 12.25 m²

-TheUnknownScientist

Answer:

\(y\leq 4\)

Step-by-step explanation:

Start with the given

\(2y\leq 8\\\)

Divide the two on both sides to get

\(y\leq 4\)

Answer:

y=≤4

Step-by-step explanation:

Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest  number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Answer:

As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Step-by-step explanation:

Answer:

\(y = 40\cdot k\)

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

\(y \propto x\)

\(y = k \cdot x\)

Where \(k\) is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

\(y = 40\cdot k\)

Answer:

The first answer is ''y=45 x''

1800 people for the second one

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

The solution to the system of equations is:

\(x=\frac{25}{3},\:y=-\frac{11}{9}\)

Step-by-step explanation:

Given the system of equations

\(5x + 3y = 38\)

\(2x + 3y = 13\)

solving the system of equations

\(\begin{bmatrix}5x+3y=38\\ 2x+3y=13\end{bmatrix}\)

Multiply 5x+3y=38 by 2:    10x+6y=76

Multiply 2x+3y=13 by 5:     10x+15y=65

\(\begin{bmatrix}10x+6y=76\\ 10x+15y=65\end{bmatrix}\)

so

\(10x+15y=65\)

\(-\)

\(\underline{10x+6y=76}\)

\(9y=-11\)

now solving 9y = -11 for y

\(9y=-11\)

divide both sides by 9

\(\frac{9y}{9}=\frac{-11}{9}\)

Simplify

\(y=-\frac{11}{9}\)

For 10x+6y=76 plug in y = -11/9

\(10x+6\left(-\frac{11}{9}\right)=76\)

subtract 6(-11/9) from both sides

\(10x+6\left(-\frac{11}{9}\right)-6\left(-\frac{11}{9}\right)=76-6\left(-\frac{11}{9}\right)\)

\(10x=\frac{250}{3}\)

Divide both sides by 10

\(\frac{10x}{10}=\frac{\frac{250}{3}}{10}\)

\(x=\frac{25}{3}\)

Therefore, the solution to the system of equations is:

\(x=\frac{25}{3},\:y=-\frac{11}{9}\)

Answer:

17

Step-by-step explanation:

Answer:

a=17

Step-by-step explanation:

When an equation says +(-) like this one, all you have to do is subtract :)

Knowing that if you rewrite this you get a= 21-4, which is 17!

I hope this helps, and have a great day! <3 :D

Answer:

5(12 : 3) -8

Step-by-step explanation

when you solve the first half of the equation you get 1.

so 9-1 is 8.

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

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Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

False. We would anticipate the second-year GPA to be slightly higher than the 40th percentile based on the regression impact.

How does your GPA translate?

Given this,

 A student who has a first-year GPA in the 40th percentile

is likely to have a second-year GPA in the same range.

The scatter plot is shaped like a football.         ————— (False)

If the scatter diagram is shaped like a football, then all of the data points are drawn in a circle. As a result, the data does not fit well.

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The y-coordinate of the solution of the system is -10.

What is the linear equation?

A linear equation is an equation that describes a straight line in a two-dimensional space. It is a mathematical expression that relates two variables, usually x and y, such that one variable is a function of the other. The general form of a linear equation is:

y = mx + b

To find the y-coordinate of the solution of the system:

3x - y = 22 ...(1)

y = x - 14 ...(2)

We can substitute the expression for y from equation (2) into equation (1) to eliminate y:

3x - (x - 14) = 22

Simplifying this equation:

3x - x + 14 = 22

2x + 14 = 22

Subtracting 14 from both sides:

2x = 8

Dividing both sides by 2:

x = 4

Now we can substitute x = 4 into equation (2) to find the corresponding value of y:

y = x - 14

y = 4 - 14

y = -10

Therefore, the y-coordinate of the solution of the system is -10.

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Answer:

q = $0.05

e = $0.5

Step-by-step explanation:

13q = 0.65 equation 1

5q + 7e = $3.75   equation 2

in equation 1, divide both sides of the equation by 13

q = 0.65 / 13 = 0.05

Substitute for the value of q in equation 2

5(0.05) + 7e = 3.75

0.25 + 7e = 3.75

collect like terms

3,75 - 0.25 = 7e

3.5 = 7e

e = 0.5

Answer: 1st option, 3rd option, 1st option

Step-by-step explanation:

Answer:

48.75$

Step-by-step explanation:

Since the original price is 65$ and you are getting 25% off, you would now be paying 75% of the original price.

65*75%=48.75

_______________________________________________________

You could also take the amount of discount you're getting...

65*25%

and then subtract the amount of discount your getting from the original price

65-(65*25%) = 48.75

Answer:

B. 260 miles

Step-by-step explanation:

The important thing to consider here is the maximum amount of time she can spend driving. Since she will spend 2 hours at the park and want to be gone no more than 6 hours, this number is 4 hours.  

This means she can spend 2 hours on the way to the park and 2 hours back. Her maximum distance, therefore, is 2 hours times an average speed of 65 miles per hour

Therefore:

2x ≤65 * 4

2x ≤ 260

x ≤ 130

Her maximum distance is 2 hours x 65 mph = 130 miles.

Answer:

Alexandria can choose any distance not more than 130 miles from her house to the park.

Step-by-step explanation:

Let Alexandria takes time 't' hours to walk from home to the park and distance between park and home is 'x' miles.

If she averages 65 miles per hour "to and fro" from her home to the park then the inequality that will represent this situation will be

2x ≤ 65t   [ Distance = Speed × time ]

If she wants to hike for 2 hours and maximum time spent to  reach the park is 6 hours

Then the maximum time spent by her to reach the park from her home should be = 6 - 2 = 4 hours.

By placing the value of t = 4 in the inequality

2x ≤ (65×4)

2x ≤ 260

x ≤ 130

Therefore, Alexandria can choose any distance not more than 130 miles from her house to the park.

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit: • She wants to hike for 2 hours. • She wants to spend no more than 6 hours away from home. • She can average 65 miles per hour to and from the park. Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

The actual answer is 180 miles if anyone was wondering. I know the other answer is "Verified" but its wrong. me and the other people who trusted it know that. good luck.

Alexandria wants to go hiking on Saturday. To choose from several parks she could go to, she considers these conditions.  

She wants to hike for 2 hours.

She wants to spend no more than 6 hours away home.

She can average 65 miles per hour to and from the park.

Write and solve an inequality to find possible distances from Alexandrias home to a park that satisfies the conditions.

Explain show work please.

Favorite Answer

The distance from Alexandria's home to a park has to be within 130 miles.

Let h = time of Alexandria's hike = 2 hours.

Let p = time spent to get to park (driving)

h + 2p (since it is round trip - to the park and back) <= 6 hours (time to spend away from home)

h = 2, thus

2 + 2p <= 6

2p <= 4

p <= 4/2 = 2

Thus, she has to spend 2 hours to get to the park, and spend 2 hours to get back home.

distance to the park <= speed of driving x time of getting to park

                             <= 65 miles per hour x 2 hours

                             <= 130 miles

Thus, we get the 130 miles.

The correct option is B. 260 miles. and the required inequality is \(2+\dfrac{D}{65} \leq 6\).

Given, Alexandria wants to go hiking based on the conditions.

The average speed of Alexandria is 65 miles per hour.

Since she wants to hike minimum of 2 hours, so minimum distance covered by her will be  \((65\times2=130) \\\) miles.

Now time \(t\) required to cover \(D\) distance with the speed of 65 miles per hour will be  \(\frac{D}{65}\) hours.

But She doesn't want to spend more than 6 hours away from home,

So the inequality becomes,

\(2+\dfrac{D}{65} \leq 6\).

On solving for D,

\(\dfrac{D}{65} \leq 6-2\)

\(D\leq 4\times65\\\\\D\leq 260\)

Hence the Distance traveled by Alexandria must not exceed by 260 miles.

Therefore the correct option is B. 260 miles. and the required inequality is \(2+\dfrac{D}{65} \leq 6\).

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The answer will be $1100 invested in each year.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We'll figure out how to solve the two-equation linear system:

We'll set x equal to 8% of the investment and y equal to 5% of the investment.

Equation 1: x + y = 2900 (total invested money)

Equation 2: 0.06x + 0.04y = 138 (total interest of both investments)

25*(0.06x+0.04y = 138)

Equation 3: 1.5x + y = 3450

Eq3-Eq1

0.5x = 550

x = 550/0.5 = 1100

Hence the investment in each year will be $1100.

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Answer:

a). $(725 - 22t)

b). $99

Step-by-step explanation:

Expense account of the school has balance after 't' weeks = $(450 - 70t)

And fundraising account has the balance = $(275 + 48t)

a). Total amount in both the accounts after 't' weeks

    = $(450 - 70t) + $(275 + 48t)

    = $(450 + 275) + $(-70t + 48t)

    = $(725 - 22t)

b). Total amount after 8 weeks

    = $(725 - 22×8)

    = $(275 - 176)

    = $99

Answer:

A: 16\(\pi\)\(cm^{2}\)

B: 112\(\pi\)\(cm^{3}\)

C: 351.68\(cm^{2}\)

Step-by-step explanation:

The cubic inches that can fill the cylinder is \(112\pi\) and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base is:

\(A = \pi r^2\)

So, we have:

\(A = \pi *4^2\)

\(A = 16\pi\)

Hence, the area of the base is \(16\pi\)

This is the volume of the cylinder.

So, we have:

\(V = \pi r^2h\)

Substitute known values

\(V = \pi * 4^2 * 7\)

\(V = 112\pi\)

Hence, the cubic inches that can fill the cylinder is \(112\pi\)

We have:

\(V = 112\pi\)

Expand

\(V = 112 * 3.14\)

Evaluate the product

\(V = 351.68\)

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

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Answer:

x = 41  C = 56

Step-by-step explanation:

Answer:

2x^4

Step-by-step explanation:

As the magnitude of x gets larger, the absolute value of x gets large

The higher degree terms are going to grow much faster than the lower degree terms, so that is what we need to focus on

The highest degree terms here in the numerator and denominator are 8x^6 and 4x^2, so let's divide the two, and simplify to get our solution;

f(x) = (8x^6) / (4x^2)

= 2x^6 / x^2 = 2x^(6 - 2)

= 2x^4 (solution)

System utilization is 0.26 or 20%

System utilization is the action of using something, i.e., making practical and effective use of it. Put simply; the term refers to the use of something or the process of using it effectively. In the supply chain industry, utilization may also refer to the percentage of available time that a machine, device, warehouse, or employee is actively is working.

We can also use the term for a fraction of the available time that a system is operating.

In a warehouse, space is essential, so warehouse space utilization measures the efficiency with which the warehouse uses its inventory storage capacity. Low values for this KPI may suggest that the warehouse is too large, inventory is being stored in improper places, demand forecasting is not accurate or that inventory replenishment processes are slow.

given that:

a single-bay car wash with a poission arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes

System utilization(ρ) = λ(arrival rate)/μ(service rate)

arriving rate = 8min ⇒ λ = 4/hr

service rate = 4min ⇒ μ = 15/hr

System utilization(ρ) = λ/μ

System utilization(ρ) = 4/15 = 0.26

System utilization is 0.26 or 20%

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Answer:

We can evaluate this integral using trigonometric substitution. Let x = 8 sin(θ). Then dx = 8 cos(θ) dθ. Substituting gives us:

```

∫√1−64x2dx = ∫√1−64(8sin(θ))^2(8cos(θ))dθ = ∫√1−64sin^2(θ)cos(θ)dθ

```

We can now use the identity sin^2(θ) + cos^2(θ) = 1 to simplify this integral:

```

∫√1−64sin^2(θ)cos(θ)dθ = ∫√cos^2(θ)cos(θ)dθ = ∫8cos^3(θ)dθ

```

We can now integrate using the power rule:

```

∫8cos^3(θ)dθ = 8cos^4(θ)/4 + C = 2cos^4(θ) + C

```

To reverse the substitution, we need to solve for θ in terms of x. We have:

```

x = 8sin(θ)

```

```

sin(θ) = x/8

```

```

θ = sin^-1(x/8)

```

Substituting gives us:

```

2cos^4(θ) + C = 2cos^4(sin^-1(x/8)) + C

```

```

= 2(1 - sin^2(sin^-1(x/8)))^2 + C

```

```

= 2(1 - (x/8)^2)^2 + C

```

```

= 2(1 - x^2/64)^2 + C

```

Therefore, the integral is equal to:

```

∫√1−64x2dx = 2(1 - x^2/64)^2 + C

```

Step-by-step explanation:

The integral ∫√(1-64x²)dx is equal to (1/128)(asin(8x) + 8x√(1-64x²) + C), where C is the constant of integration.

To solve this integral, we use trigonometric substitution. Let x = (1/8)sin(θ), so dx = (1/8)cos(θ)dθ. The integral becomes ∫√(1-64((1/8)sin(θ))²)(1/8)cos(θ)dθ = ∫(1/8)cos²(θ)dθ.

Now, apply the power-reduction formula: cos²(θ) = (1+cos(2θ))/2. The integral becomes ∫(1/16)(1+cos(2θ))dθ. Integrate with respect to θ: (1/16)(θ+(1/2)sin(2θ)) + C. Convert back to x using θ = asin(8x): (1/128)(asin(8x) + 8x√(1-64x²)) + C.

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Answer:

a and b must be negative reciprocals

Step-by-step explanation:

Answer:

18 meters

Step-by-step explanation:

4 cm = 6m

2cm = 3m

6x3=18

Please <3 my Answer B )

Answer:

13

Step-by-step explanation:

The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

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Answer:

Step-by-step explanation:

(4x-30)=2x

2x=-30

x=15