Solve linear proportions

Answer:

80

Step-by-step explanation:

8+6^2×2

8 + 36 × 2

8+72

80

Answer:

80

Step-by-step explanation:

If you use PEMDAS you'll know to do parentheses first

6^2 is 6 times 6 which is 36

then you multiply 36 by 2

72

then add 8

80

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The radical notation of the given expression is \(\sqrt[5]{31}\).

The given expression is \(31^\frac{1}{5}\).

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The radical notation is \(\sqrt[5]{31}\)

Therefore, the radical notation of the given expression is \(\sqrt[5]{31}\).

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To find the cooling rate of the car, we need to determine the temperature decrease per unit of time.

Given that the car overheats at 280°F and can be driven again at 230°F, we can calculate the temperature difference:

Temperature difference = overheating temperature - driving temperature
Temperature difference = 280°F - 230°F
Temperature difference = 50°F

Since the cooling rate of the car is not explicitly given, we cannot directly determine it. However, we can make some assumptions based on the information provided.

Assuming that the cooling rate is linear, we can calculate the temperature decrease per degree Fahrenheit.

Temperature decrease per degree Fahrenheit = temperature difference / (overheating temperature - outside temperature)
Temperature decrease per degree Fahrenheit = 50°F / (280°F - 80°F)
Temperature decrease per degree Fahrenheit = 50°F / 200°F
Temperature decrease per degree Fahrenheit = 0.25°F

Therefore, the cooling rate of the car would be 0.25°F per degree Fahrenheit.

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\(\frac{1}{36}\)

Negative exponents can be manipulated and solved through exponent properties.

Exponent Properties

There are numerous different exponent properties that allow us to simplify expressions. However, for this question, the important property is known as the negative exponent property. This states that \(\displaystyle a^{-b}=\frac{1}{a^b}\). We can apply this same idea to the question we were given.

Solving

Through the negative exponent property, we know that we can make the exponent positive by taking the reciprocal.

Remember that 6^2 = 36, then solve.

So, the final answer is 1/36.

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

Answer:

18.4 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and 90 - 71.6 is 18.4. So, the answer is 18.4 degrees.

We are given a line integral ∫[C] 5g·ds, where C is a curve parameterized by f(t) = (t^2, t) for t in the interval (0, 2). The task is to evaluate the line integral and find an exact answer. The answer to the line integral is 15.9.

To evaluate the line integral ∫[C] 5g·ds, we need to calculate the dot product 5g·ds along the curve C. The curve C is parameterized by f(t) = (t^2, t), where t varies from 0 to 2.

First, we need to find the derivative of f(t) with respect to t to get the tangent vector ds/dt. The derivative of f(t) is f'(t) = (2t, 1), which represents the tangent vector.

Next, we need to find the length of the tangent vector ds/dt. The length of the tangent vector is given by ||ds/dt|| = √((2t)^2 + 1^2) = √(4t^2 + 1).

Now, we can evaluate the line integral by substituting the tangent vector and its length into the integral. The line integral becomes ∫[0, 2] 5g·(ds/dt)√(4t^2 + 1) dt.

By integrating the expression with respect to t over the interval [0, 2], we obtain the value of the line integral. The result of the integral is 15.9.

Therefore, the exact answer to the line integral ∫[C] 5g·ds, where C is given by f(t) = (t^2, t) for t in the interval (0, 2), is 15.9.

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The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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The best response for a person handling biohazards with an open wound on their hands is to not  work with biohazards until the cut is healed or cleared by a healthcare professional to work with the use of waterproof bandages and double gloves.

Biohazards are extremely dangerous because they can get into the human body and cause a lot of damage.

This is why a person with an open would or existing cut should not handle a biohazard until they are cleared to to so by a trained healthcare professional.

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With given expression error=2%,  the filling machine is not working within specifications for this container of oats.

What exactly are expressions?

In mathematics, an expression is a combination of symbols, numbers, and operators (such as + and -) that represents a value or a quantity. It can contain variables, which are symbols that represent unspecified values, and constants, which are fixed values. Expressions can be simple, like "5 + 3", or more complex, like "3x² - 2xy + 7".

Now,

The oat-filling machine must fill each container with 16 ounces of oats with a 2% margin of error, according to the requirements. This means that the acceptable range of oat quantity in a container is from 16 - 0.0216 = 15.68 ounces to 16 + 0.0216 = 16.32 ounces.

Since the container in question has been filled with 16.5 ounces of oats, we can see that it is outside the acceptable range specified by the machine's specifications. Therefore, the filling machine is not working within specifications for this container of oats.

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Answer:

Step-by-step explanation:

<BAC

The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.

Consider the quadratic equation,

x² - 20x + 33 = 0

Comparing the equation with general form of quadratic equation ax² + bx + c = 0

We have,

a = 1, b = - 20, and c = 33

x² - 20 x +33 =0

x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0

By using the identity ( a - b )² = a² - 2ab + b²

( x - 10)² -100 +33 =0

( x - 10)² - 67 =0

( x - 10)² = 67

Hence, the complete square:

( x - 10 )² = 67

x - 10  = ± √67

x - 10 = ± 8.1853

So,

x - 10 = 8.2

x = 10 + 8.2

x = 18.2

And;

x - 10 = - 8.2

x = 10 - 8.2 = 1.8

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Answer:

3

Have a great day!!

Answer:

See below.

Step-by-step explanation:

Step one is incorrect. When distributing 3 to x and -1, you have to multiply 3 and x, and 3 and -1, making it 3x-3.

What this person did was only multiply 3 and x, but forgot about -1.

-hope it helps

Answer:

I think it is -11r

Answer:

240000

Step-by-step explanation:

Answer: Sale Price = $ 240.00

Discount Amount = $ 60.00

Answer:

Step-by-step explanation:

2(x+y)=32  means :

x+y =16

1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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Answer: no. it is not in standard form

We cannot find the x-intercept of this  equation by substituting 0 for y and solving for the x.

Step-by-step explanation:

Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer: 1

Step-by-step explanation: 1+1-1+1-1+1-1+1

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

A random sample is drawn from a population with mean μ=73 and standard deviation σ=6.1. To determine if the sampling distribution of the sample mean with n=18 and n=46 is normally distributed, we need to calculate the standard error for each sample size.

For n=18:
The standard error (SE) is calculated using the formula:

     SE = σ / √n
SE = 6.1 / √18

          ≈ 1.441 (rounded to 3 decimal places)

For n=46:
SE = 6.1 / √46 ≈ 0.901 (rounded to 3 decimal places)

To determine if the sampling distribution of the sample mean is normally distributed, we need to consider the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n > 30), the sampling distribution of the sample mean tends to be approximately normally distributed, regardless of the shape of the population distribution.

Since both n=18 and n=46 are larger than 30, we can conclude that the sampling distribution of the sample mean with these sample sizes is approximately normally distributed.

Therefore, the sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

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Answer:

24 I guess sooooo nsksbsj

Sylvie's system of equations includes three lines: y = (2/3)x + 1, y = (-2/3)x - 1, and y = x - 1. She can find the solution by graphing these lines and identifying the point where they intersect. The correct graph shows the three lines intersecting at the point (2, 1).

Explanation:

To find the solution to the system of equations, Sylvie needs to identify the point where all three lines intersect. She can do this by graphing the lines and looking for their intersection point. The first equation, y = (2/3)x + 1, is a line with a slope of 2/3 and a y-intercept of 1. The second equation, y = (-2/3)x - 1, is a line with a slope of -2/3 and a y-intercept of -1. The third equation, y = x - 1, is a line with a slope of 1 and a y-intercept of -1.

By graphing these three lines, Sylvie can find their intersection point. The correct graph shows the three lines intersecting at the point (2, 1). This means that the solution to the system of equations is x = 2 and y = 1. Sylvie could also check her solution by plugging in x = 2 and y = 1 into each equation and verifying that they are true.

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Answer:

• 5x + 20 = 5(x + 4)

• 5(2x + 8) = 10x + 40

• 5(x + 8) = 5x + 5.8

Answer:

i hop this halp

Step-by-step explanation:

less than 10 units.

Answer:

Mark me as brain list plz for fun I need to get my expert rank

Step-by-step explanation:

There is no attachment to see any grams post then I will answer

Answer:

(6, -3) aka x = 6 and y = -3

Step-by-step explanation:

since you are given y = -2x + 9, you should start by substituting the expression -2x + 9 for y in the equation 2x + 3y = 3.

here's your equation after plugging in the expression that's equal to y:

2x + 3(-2x + 9) = 3

distribute 3 to -2x

2x + 3(-2x + 9) = 3 ⇒ 3 · -2x = -6x

...and to 9.

2x + 3(-2x + 9) = 3 ⇒ 3 · 9 = 27

now you're left with 2x - 6x + 27 = 3.

combine like terms.

2x - 6x + 27 = 3 ⇒ -4x + 27 = 3

subtract 27 from both sides of the equation. since +27 and -27 cancel each other out, you're left with subtracting 27 from 3, which gives you -24.

now your equation is -4x = -24.

divide both sides of the equation by -4.

-24/-4 = 6

...therefore x = 6.

since you have your x value now, you can plug that into the equation for y in order to solve for y.

y = -2x + 9 ⇒ y = -2(6) + 9

multiply -2 and 6.

y = -2(6) + 9 ⇒ y = -12 + 9

add -12 and 9.

y = -12 + 9 ⇒ y = -3

...and now you've solved for y, which is -3.

therefore, your solution is (6, -3), aka x = 6 and y = -3.

hope this helps! have a nice day <3

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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