£1299.9935 to the nearest penny

Answer:2y+1=y-5.

We move all terms to the left:

2y+1-(y-5.)=0

We add all the numbers together, and all the variables

2y-(y-5)+1=0

We get rid of parentheses

2y-y+5+1=0

We add all the numbers together, and all the variables

y+6=0

We move all terms containing y to the left, all other terms to the right

y=-6

Step-by-step explanation:

The application rate is 3 (per DM$).

The given below table shows the monthly production volume, direct materials, direct labor, and manufacturing overheads for the past three months at Gizzard Wizard (GW):

Month Prod. Volume DM ($)DL ($)MOH ($)May 1000$400.00$600.00$1200.00

June 400160.00240.00480.00

July 1600640.00960.001920.00

By using DM$ to apply overhead, we have to find the application rate. We know that the total amount of manufacturing overheads is calculated by adding the cost of indirect materials, indirect labor, and other manufacturing costs to the direct costs. The formula for calculating the application rate is as follows:

Application rate (per DM$) = Total MOH cost / Total DM$ cost

Let's calculate the total cost of DM$ and MOH:$ Total DM$ cost = $400.00 + $160.00 + $640.00 = $1200.00$

Total MOH cost = $1200.00 + $480.00 + $1920.00 = $3600.00

Now, let's calculate the application rate:Application rate (per DM$) = Total MOH cost / Total DM$ cost= $3600.00 / $1200.00= 3

Therefore, the application rate is 3 (per DM$).

Hence, the required answer is "The application rate for GW is 3 (per DM$)."

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So, the function has an extremum value of -4 at x = 2, a. The domain of a function is the set of all possible input values for which the function is defined.

In this case, the function is a polynomial, so it is defined for all real numbers. Therefore, the domain of the function f(x) = x^2 - 4x is the set of all real numbers, (-∞, ∞).

b. To find the x-intercepts of a function, we set the function equal to zero and solve for x. In this case, we have:

x^2 - 4x = 0

x(x - 4) = 0

x = 0 or x = 4

So, the x-intercepts of the function are x = 0 and x = 4.

To find the y-intercept, we evaluate the function at x = 0:

f(0) = 0^2 - 4(0) = 0

So, the y-intercept of the function is y = 0.

c. To determine whether a function is even or odd, we check whether the function satisfies the properties of even or odd functions. In this case, the function f(x) = x^2 - 4x is neither even nor odd, because it does not satisfy the symmetry conditions for even or odd functions.

d. The function f(x) = x^2 - 4x is a quadratic function, and as x approaches positive or negative infinity, the function also approaches positive infinity. Therefore, there is no horizontal asymptote (H.A.).

To find the vertical asymptote (V.A.), we need to determine if there are any values of x for which the function approaches infinity or negative infinity. However, in the case of the given function, there are no vertical asymptotes because the function is defined for all real numbers

parts e, f, and g:

To find the critical points, we find the values of x where the derivative of the function is zero or undefined. In this case, the derivative of f(x) = x^2 - 4x is f'(x) = 2x - 4. Setting f'(x) equal to zero, we get:

2x - 4 = 0

2x = 4

x = 2

So, the critical point is x = 2.

To determine the intervals of increasing and decreasing, we check the sign of the derivative on either side of the critical point. For x < 2, f'(x) is negative, indicating a decreasing interval. For x > 2, f'(x) is positive, indicating an increasing interval.

To find the extremum values, we substitute the critical point x = 2 into the original function:

f(2) = 2^2 - 4(2) = -4

So, the function has an extremum value of -4 at x = 2.

To find the intervals of concavity and the inflection points, we take the second derivative of the function.

The second derivative of f(x) = x^2 - 4x is f''(x) = 2. Since the second derivative is constant and positive, the function is concave up for all values of x and there are no inflection points.

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The sample means are distributed along the x-axis for a sampling distribution of a sample mean.

A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.

Now,

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If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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Answer:

Step-by-step explanation:

Answer:

Today: Thursday, 05 November 2020

Hour: 13.59 WIB (Indonesia)

_______________________________

Find equation of graph

Slope

Equation

Both the equations are equal

Option A

It took Franny 5 minutes to walk each lap. The correct option is B.

Franny spent a total of 35 minutes walking around the track and made 7 laps around the track, so the total time for all 7 laps is 35 minutes. Let's assume it took Franny t minutes to walk each lap. Then, we can set up the following equation:

7t = 35

We can solve for t by dividing both sides of the equation by 7:

t = 35/7 = 5

Therefore, the correct option is B.

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

y = |x - 4|

Step-by-step explanation:

Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)

If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.

Step-by-step explanation:

Pythagoras

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

so,

10² = 6² + b²

100 = 36 + b²

b² = 64

b = 8 in

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\(f(x) = 9x - 7\)

\(f( - 1) = 9( - 1) - 7\)

\(f( - 1) = - 9 - 7\)

\(f( - 1) = - 16\)

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The equivalent system of equations that would guarantee a solution of (3,-1) are

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

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Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: \(\sqrt[3]{200} =2\sqrt[3]{25}\)

Hope this helps!

1 is not a prime number. Also 1 is not a composite number.

What is a prime number?

A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers. Composite numbers are those that have more than two components.

1 is divisible by 1.

The factors of 1 is 1 and itself that is 1.

The number of factor of 1 is 1.

But a prime number has 2 factors.

But the number of factor of 1 does not fulfil the criteria of prime number.

Thus 1 is not a prime number.

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The volume of the secret room is 504 cubic yards.

To calculate the volume of the secret room shaped like a rectangular prism, we multiply its length, width, and height together.

The length of the room is given as 8 yards, the width as 7 yards, and the height as 9 yards.

Volume = Length × Width × Height

Volume = 8 yards × 7 yards × 9 yards

Calculating the multiplication:

Volume = 504 cubic yards

Therefore, the volume of the secret room is 504 cubic yards.

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Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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Answer:

On Wednesday evening Sonto spent 30 minutes doing homework, 45 minutes doing housework, 60 minutes visiting friends and 90 minutes watching television. Write this down the information as a ratio​

Step-by-step explanation:

Total amount of time = 225 minutes

2/15 Homework

1/5 Housework

4/15 Visiting friends

2/5 Watching TV

Whole number ratio

2 : 3 : 4 : 6

The series diverges with an integral of 1/ln(16) and the series converges with an integral of 1/4 and a sum of 1/2.

We can use the integral test to determine the convergence of the series ∑n=1∞ 1/6n. The integral of the function f(x) = 1/6x is:

\(∫f(x) dx = (1/6) ln(x) + C\)

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/6) ln(∞) - (1/6) ln(1) = ∞

Since the integral diverges, the series also diverges.

We can use the integral test to determine the convergence of the series ∑n=1∞ \((n+4)/(n^2+8n+4\)). The integral of the function f(x) = \((x+4)/(x^2+8x+4)\) is:

∫f(x) dx = (1/2) ln(x^2 + 8x + 4) + 3 ln|x + 4| + C

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/2) ln(∞) + 3 ln(∞ + 4) - (1/2) ln(13) - 3 ln(5) = ∞

Since the integral diverges, the series also diverges.

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The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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Answer:

6.513

Step-by-step explanation:

1.7 + 0.8 + 4.013 = 6.513 (As there are double minus, so it will become a plus)

On simplification, the expression 1.7 - (-0.8) + 4.013 gives C) 6.513.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of computations and relationships.

Expressions are fundamental in mathematics as they allow us to represent and manipulate mathematical concepts, solve equations, evaluate formulae, and analyze mathematical relationships. They are used in various areas of mathematics, including algebra, calculus, geometry, and more.

Given the expression is 1.7 - (-0.8) + 4.013.

1.7 - (-0.8) + 4.013 = 1.7 +0.8 + 4.013 = 6.513.

So, the answer is C) 6.513.

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Answer:

0.85(24.5)

Step-by-step explanation:

y being the sale price

Set (X, Y) Unif([0, 1] x [-1,0]). This means that (X, Y) is a uniform random point on the rectangular [0, 1] x [-1,0] then X and Y are independent.

Since the area of this region is 1, we have:

f(X,Y) = 1

Now we need to find the marginal PDFs of X and Y. In order to find fX(X), we integrate f(X,Y) over all possible values of Y:

fX(X) = ∫ f(X,Y) dy

= ∫ 1 dy (since f(X,Y) = 1)

= 1

Similarly, to find f_Y(Y), we integrate f(X,Y) over all possible values of X:

f_Y(Y) = ∫ f(X,Y) dx

= ∫ 1 dx (since f(X,Y) = 1)

= 1

Therefore, we have: f(X,Y) = fX(X) * fY(Y) which shows that X and Y are independent.

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Answer:

Step-by-step explanation:

\(\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}\)  rewrite as multiplication

\(\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}\)  look to factor

\(\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}\)  , difference of 2 squares and perfect square

\(\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}\), finish factoring and simplify

2(x+3)

Answer:

x=y-3

Step-by-step explanation:

okay, so first, we have to understand what the words mean.

PRODUCT: means the answer to a multiplication question

DECREASED: taken away or to make smaller

AND: addition or add

We can use X for "product" and Y for "a number"

now we can write it out:  

x=y+5-3

OR

y+5-3=x

Answer:

the answer is d

Step-by-step explanation:

The formula used to gain information about an individual data value when the variable is normally distributes is,  Z = (X - μ)/σ.

What is standard normal distribution?

The standard normal distribution, also known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.

Any normal distribution's values can be transformed into z scores to standardize it.

Z scores indicate the number of standard deviations away from the mean that each value represents.

The Z score is determined by the number of standard deviations above or below the mean for the standard normal distribution.

When a variable (let's say X) is normally distributed, then to get insights from its distribution, we transform it (i.e. X) into standardized variable (which constitutes "Standard" Normal Distribution).

Standardized variable, Z, is given by  (X - μ)/σ

Hence, option B is correct answer.  Z = (X - μ)/σ.

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Complete question:

Complete question is attached below.