The length of the yarn is less than 7.5 inches.

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

The total number of different ways there are to put the cousins in the rooms is;  15

When we count the number of cousins staying in each room, it means that the possibilities are as follows; (4,0,0,0), (3,1,0,0), (2,2,0,0), (2,1,1,0), (1,1,1,1).

1) (4,0,0,0): This means that there is only 1 way to put all the cousins in the same room due to the fact that the rooms are identical.

2) (3,1,0,0): This means that there are 4 ways to choose which cousin will be in a different room than the others.

3) (2,2,0,0): This means that there are 3 ways to choose which of the other cousins will also stay in that room, and then the other two are automatically in the other room.

4) (2,1,1,0): This means that the number of ways to choose which cousins stay in the same room is; 4C2 = 6

5) (1,1,1,1): This means that there is only one way for all the cousins to the total number of possible arrangements is;

1 + 4 + 3 + 6 + 1 = 15each stay in a different room.

Therefore, the total number of possible arrangements is;

1 + 4 + 3 + 6 + 1 = 15

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Answer:

yeah i gotchu

Step-by-step explanation:

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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The average speed of the car is 51 kph. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself can be found by the following formula.

s = d/t

Where

A car can travel at the following speeds.

Find the average speed!

We should convert the unit of time from minutes to hour.

t₃ = 45 minutes = ¾ h

t₄ = 15 minutes = ¼ h

We count the time and distance in each travels.

t₁ = d₁/s₁ = 20/40 = ½ h

t₂ = d₂/s₂ = 25/50 = ½ h

d₃ = s₃×t₃ = 60 × ¾ = 45 km

d₄ = s₄×t₄ = 48 × ¼ = 12 km

Avg speed = (s₁ + s₂ + s₃ + s₄)/(t₁ + t₂ + t₃ + t₄)

Avg speed = (40 + 50 + 60 + 48)/(½ + ½ + ¾ + ¼)

Avg speed = 102/2

Avg speed = 51 kph

Hence, the car has the average speed of 51 kph.

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Answer:

C. 1,120 cubic inches

Explanation:

To find the total volume, we will divide the solid as follows:

The edge with a length equal to 10 in was calculated as:

18 in - 8 in = 10 in

Because 18 in is the length of the largest height of the figure and 8 in is the length of the smaller height.

Now, the volume of a rectangular prism can be calculated as:

Volume = Length x Width x Height

So, the volume of solid 1 is equal to:

V₁ = 12 in x 4 in x 10 in

V₁ = 480 in³

In the same way, the volume of solid 2 is equal to:

V₂ = 20 in x 4 in x 8 in

V₂ = 640 in³

Therefore, the total volume of the solid is the sum of both parts. Then:

V₁ + V₂ = 480 in³ + 640 in³

V₁ + V₂ = 1120 in³

So, the answer is C. 1,120 cubic inches

The total rebound distance is 2 + 1 + 0.5 + 0.25 = 3.75 ft.

A super ball dropped from a height of 8 ft rebounds half of the distance fallen. After rebounding 4 times, what is the total rebound distance?The initial height = 8 ft

After the first bounce, the ball rebounds half the distance fallen.The distance fallen during the first bounce = 8/2 = 4 ft The rebound height = 4/2 = 2 ft

Therefore, the ball rebounds to a height of 2 ft on its first bounce.Since the ball rebounds half the distance fallen, it falls to a height of 1 ft after the second bounce.                                                                                                                                                                                                        The distance fallen during the second bounce = 4/2 = 2 ft ,The rebound height = 2/2 = 1 ft

Therefore, the ball rebounds to a height of 1 ft on its second bounce.

Repeating the above process, the third and fourth bounces are as follows:

During the third bounce: Distance fallen = 2 ft, rebound height = 0.5 ft

During the fourth bounce: Distance fallen = 1 ft, rebound height = 0.25 ft

Therefore, the total rebound distance is 2 + 1 + 0.5 + 0.25 = 3.75 ft.

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The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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The value for g is 2, meaning that each family bowled 2 games.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Given, the equation is 6(8g + 2) + 45 = 153
Following the steps in the available literature, we have the equation as:
6(8g + 2) + 45 = 153 ⇒ 48g + 12 + 45 = 153 ⇒ 48g = 153 - 45 - 12 = 96
⇒ g = 96/48 ⇒ g = 2
Thus, g as suggested will determine number of times each family bowled.

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Answer:

YES!

Step-by-step explanation:

You do multiply straight across for ex: 3/4 x 4/3= 12/12=1

For addition you don't but for multiplication you do!

Answer:

B

Step-by-step explanation:

You use PEDMAS to evaluate the perfect number so in the PEDMAS it says addition then to subtraction so, the addition goes first. And when you have both addition you go left to right :)

The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

Answer:

E

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Here, we want to find the value of x

To do this, we use one of the circle tangent relationships

we have this as:

8^2= 4(4 +x)

8^2 = 16 + 4x

64 = 16 + 4x

64-16 = 4x

4x = 48

x = 48/4

x = 12

Answer:

91 lies between 9 and 10

Step-by-step explanation:

Answer:

Hi, There!

Which of the following expressions is written in scientific notation?

O 0.2 x 10 Is the Correct Answer.

xXxAnimexXx

Have a great day!

Answer:

$2

Step-by-step explanation:

If the total is $12, and he spent $6 on a notebook, he has $6 left for his 3 pencils. If each pencil costs the same, he paid $2 for each pencil.

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

A confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.

To determine if a variable confounds an association, follow these steps:

1. Identify the exposure, outcome, and potential confounding variable: Determine which variables are your exposure (independent variable), outcome (dependent variable), and the potential confounding variable.

2. Assess the relationship: Evaluate if the potential confounding variable is associated with both the exposure and the outcome. If it is, it could be a confounder.

3. Control for the confounding variable: Adjust your statistical analysis to account for the potential confounding variable, either by stratification or using multivariable regression techniques.

4. Compare the results: Analyze the strength and direction of the association between the exposure and outcome before and after controlling for the confounding variable. If the association changes significantly, it's likely that the variable is a confounder.

Remember that a confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.

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The probability that the sampling error would be more than 1.5 hours, obtained from the z-score table is about 39.36%

A z-score is an indication or measure of the number of standard deviations, of a datapoint from the mean of a distribution.

The standard error of the mean = The population standard deviation ÷ (The square root of the sample size)

Therefore; The standard error = $17/√9 ≈ $5.67

The z-score for a value of 1.5 units above the can be found as follows;

z-score = (The value less the mean)/(The standard error)

Therefore; z-score ≈ (76 + 1.5 - 76)/5.67 ≈ 0.265

The z-score table indicates that the probability of obtaining a z-score  larger than 0.265 is; 1 - 0.60642 ≈ 0.3936

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Answer:

y= 2200 (3/4)x

Step-by-step explanation:

You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.

The constant a represents the initial value. It is the y-value of the equation when x=0.

The constant b represents the growth or decay factor.

When the equation models exponential growth, b>1.

When the equation models exponential decay, 0<b<1.

An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.

Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses  1/4 of its value every year.

The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.

The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4

times the value the year before. So, b= 3/4.

The exponential equation y= 2200 (3/4)x models the value of the machine.

An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form \({\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}\) are the coefficients, which are often real numbers.

Given that;

The cost of tshirt printing machine= $2200.

The lose of machine= 14

Now,

Substituting all the values in equation y=a(b)x

a=2200

b=14

y=2200*14*x

Therefore, the linear equation of the question will be y=2200*14*x

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Answer:

The value of the expression is 11

Step-by-step explanation:

Evaluate Expressions

An algebraic expression consists of a set of variables and constants related by algebraic operations like addition, subtraction, multiplication, etc.

To evaluate an algebraic expression, we replace the variables for the constant value they are assigned.

Let's consider the expression:

\(x-y+ z(x + y)\)

for x=10, y=-1, z=0

Substituting the variables for their values:

\(10-(-1)+ (0)(10 -1)\)

\(=10+1+ (0)(9)\)

\(=11+0=11\)

The value of the expression is 11

The commutative property for addition just means the sum is the same no matter what order you add the terms. This property is also true for multiplication of real numbers.

If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics. Numerous binary operations depend on it as a fundamental property, and numerous mathematical arguments.

A commutative property in mathematics states that if integer positions are switched around or combined while performing addition or multiplication operations, the result will remain the same.

According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the property is true, but not for division or subtraction.

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Answer:

Option B

Step-by-step explanation:

Option B has 10° and 30° angles that share a side that measures 20 cm. The other options aren't correct.

Hope this helps!

It will take approximately 4.91 hours for Enrique's body to metabolize half of the 86 mg of caffeine.

To determine this, we can use the concept of exponential decay. The amount of caffeine in Enrique's body decreases by 14.1% per hour, which means that each hour the amount of caffeine remaining is 86% of the previous amount.

To find the time it takes for half of the caffeine to be metabolized, we need to solve the equation:

86 mg * (0.861)^t = 43 mg

Where t represents the time in hours.

Dividing both sides of the equation by 86 mg, we get:

0.861^t = 0.5

Taking the logarithm of both sides, we can solve for t:

t x log(0.861) = log(0.5)

t = log(0.5) / log(0.861)

Using a calculator, we find that t is approximately 4.91 hours.

Therefore, it will take approximately 4.91 hours for Enrique's body to metabolize half of the 86 mg of caffeine.

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Answer:

x = -9 also called undefined slope.

Step-by-step explanation:

And if the line is like this ____________ it is zero slope and the equation is the number that is passes through the y- intercept.

Hope this helps.

x = -9

Answer:

x=-9

I hope this is good enough:

y = x^2 represents a nonlinear function.

A linear function has the form of y = mx+b where m and b are constants and x is variable, the graph of a linear function is always a straight line. A nonlinear function is any function that is not linear, the graph of a nonlinear function is not a straight line.

y = x^2 is nonlinear because the variable x is squared, a quadratic function and its graph is a parabola.

y=2x is a linear function and its graph is a straight line, increasing linearly with x.

y = x is also a linear function and its graph is also a straight line, increasing linearly with x.

y = x+2 is a linear function and its graph is also a straight line with a y-intercept of 2, increasing linearly with x

So, y = x^2 represents a nonlinear function, and it is the correct answer.

Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?