What is 8÷424.4 ? show your work.

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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Answer: (-7,1)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

d) it has to be greater than 150 and 250

Step-by-step explanation:

It  says in the question it is greater than 150. So the number will be between 150 and 250.

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Answer: 160

Step-by-step explanation:

12+37+78

Answer:

see explaination

Step-by-step explanation:

area of rectangle =l×b

Answer:C

Step-by-step explanation:

Answer:

1 = 137

2 = 43

3 = 43

4 = 137

Step-by-step explanation:

for the first line, do (180-137 = 43)

then, 43 would be corresponding angle to 2 - making them equal

2 would be vertically opposite to 3, making them equal

137 and 1 are corresponding- making them equal

4 is vertically opposite to 1 - making them equal

Answer:

$1.25

Step-by-step explanation:

Took the test on edge!

Answer:

3.5

Step-by-step explanation:

pi = 3.14159...

sqrt(14) = 3.74165...

The choices are: 1.5, 2.5, 3.5, 4.5

Of the four choices, the only one between 3.14... and 3.74... is 3.5.

Answer: 3.5

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Therefore, Mario's winnings of 177 dollars is approximately 2.92 standard deviations below the mean.

We can calculate the number of standard deviations that Mario's winnings of 177 dollars is from the mean using the formula:

z = (x - μ) / σ

where x is the value we want to convert to standard deviations, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

In this case, Mario's winnings of 177 dollars is the value we want to convert to standard deviations, the mean is μ = 323 dollars, and the standard deviation is σ = 50 dollars. Substituting these values into the formula, we get:

z = (177 - 323) / 50

= -2.92

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The athlete covers a distance total of 3.375 miles in two days.

To calculate this, we first need to determine how far she runs during the sprints.

Since she sprints 1/8 mile 3 times, her total distance covered during sprints is:
\(\frac{1}{8}\) mile x 3 = \(\frac{3}{8}\) mile
Adding this distance to the distance covered during her warm-up and cool-down jogs, we get:
1 mile (warm-up) + \(\frac{3}{8}\) mile (sprints) + 1 mile (cool-down)

= 2 \(\frac{3}{8}\) miles
This is the distance covered by the athlete in one day.

To find the total distance covered in two days, we simply multiply this by 2:
2 \(\frac{3}{8}\) miles x 2 = 4 6/8 miles
Simplifying this fraction, we get:
4 \(\frac{6}{8}\) miles = 4 \(\frac{3}{4}\) miles
Therefore, the athlete covers a total of 4 3/4 miles (or 3.375 miles) in two days.
The miles covered in one day.
1 mile jogged for warm-up
\(\frac{1}{8}\) mile sprinted, repeated 3 times (\(\frac{1}{8}\) x 3

= \(\frac{3}{8}\) miles)
1 mile jogged for cool down
Add up the distances for one day.
1 mile (warm-up) + \(\frac{3}{8}\) miles (sprints) + 1 mile (cool down)

= 2 \(\frac{3}{8}\) miles
The total miles covered in two days.
2 \(\frac{3}{8}\) miles (per day) x 2 days = 4 6/8 miles
The fraction.
4 \(\frac{6}{8}\) miles = 4 \(\frac{3}{4}\) miles
The athlete covers a total of 4 \(\frac{3}{4}\) miles in two days during her workout routine

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Answer:

The answer is 157

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

just took the test ;)

Answer:

Step-by-step explanation:

its just 4 + 3

Answer: 7

The points shown on the graph are (-1,2) and (1,-2).

d = sqrt{-2-2)^2 + (1-(-1))^2}

d = sqrt{(-4)^2 + (1+1)^2}

d = sqrt{16 + 4}

d = sqrt{20}

d = 4•sqrt{5}

d is about 8.94427191.

Rounded to the nearest tenth, we get d = 8.9.

Answer:

4.5

Step-by-step explanation:

mb 4

Step-by-step explanation:

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A relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in the third normal form (3NF).

In this form, every monkey column of the relation is determined by the primary key and has no transitive dependencies on any other monkey column. This means that every column in the relation is uniquely identified by the primary key, and there are no redundant data in the relation. Therefore, the relation is free from anomalies such as update, deletion, and insertion anomalies. The third normal form is considered the most commonly used normal form in the relational database design, and it ensures data integrity and consistency. In summary, a relation that meets the criteria mentioned in the question is in 3NF.

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1885 students participate in school sports at Ryan's school.

To find the number of students who participate in school sports, we can multiply the total number of students by the fraction representing the proportion of students who participate.

Number of students participating in sports = (5/8) * 3016

To calculate this, we can simplify the fraction:

Number of students participating in sports = (5 * 3016) / 8

Number of students participating in sports = 15080 / 8

Number of students participating in sports = 1885

Therefore, 1885 students participate in school sports at Ryan's school.

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Answer:

D

Step-by-step explanation:

It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.

The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us take the function g(x) as f(1/3 x).

This means that g(x) takes the value of f at  1/3 of x's value.

If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.

When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.

This is because every point on the graph of f now has 1/3 of its original x-coordinate.

The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).

The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.

Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

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The percentage of attorneys in given range is approximately 50%.

The boxplot below represents the salaries of attorneys in Los Angeles.

We can estimate the percentage of attorneys who have salaries between $55,000 and $80,000 by counting the number of boxes between the range (called the interquartile range, or IQR), which is from $55,000 to $80,000.

There are two boxes within the range, and two boxes that are not within the range (called the lower and upper outliers).

Thus, the percentage of attorneys with salaries between $55,000 and $80,000 is approximately 50%.

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Taking this limit, we find that the value of the integral is 12 (option c).

To find the value of ∫20f(x) dx, we need to evaluate the given expression 2(n-1)(3n+2)n^2. We can observe that this expression represents the right Riemann sum approximation for the integral ∫20f(x) dx with n subintervals of equal length.

The right Riemann sum approximation for a continuous function f on the interval [a, b] with n subintervals is given by:

R_n = ∑(i=1 to n) f(x_i)Δx,

where Δx = (b-a)/n is the width of each subinterval, and x_i is a point in the i-th subinterval.

Comparing this with the given expression 2(n-1)(3n+2)n^2, we can identify that (n-1)(3n+2)n^2 corresponds to the sum of the function values at each subinterval.

Since the given expression represents the right Riemann sum approximation for ∫20f(x) dx, we can deduce that the integral is obtained by taking the limit of the expression as n approaches infinity.

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Answer:

Step-by-step explanation: i hope this help if not let me know so i can fix it

The response variable in this experiment is the length of shots played by the golfers in a subsequent round after wearing the wrist bracelet. So, correct option is C.

This variable is of interest because it measures the potential impact of the wrist bracelet on the golfer's performance.

In this experiment, the independent variable is the type of wrist bracelet worn by the golfer - one with magnets and the other without magnets. The dependent variable, or response variable, is the length of the shots played by the golfer in a subsequent round.

To conduct the experiment, the golfers are randomly assigned to either wear a bracelet with magnets or without magnets. This is done to ensure that there is no bias in the sample and that each group has similar characteristics. The golfers then play normally for a month, and their shots are recorded in a subsequent round.

By comparing the lengths of shots played by the two groups, the golfer can determine if wearing a wrist bracelet with magnets has an impact on their performance. If there is a significant difference between the two groups, it may suggest that the magnets in the wrist bracelet improve balance and the length of shots played off the tee.

So, correct option is C.

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Complete question is:

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.

What is the response variable in this experiment?

a. the age of each golfer

b. the 200 volunteers

c. the length of shots played by the golfers

d. whether the golfers wear or do not wear the bracelet

Answer:

see explanation

Step-by-step explanation:

a translation \(T_{(-5,-4)}\)

means subtract 5 from the original x- coordinate and subtract 4 from the original y- coordinate.

A (2, - 1 ) → A' (2 - 5, - 1 - 4 ) → A' (- 3, - 5 )

B (- 4, - 2 ) → B' (- 4 - 5, - 2 - 4 ) → B' (- 9, - 6 )

C (3, 2 ) → C' (3 - 5, 2 - 4 ) → C' (- 2, - 2 )

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

(1 ,3)

Step-by-step explanation:

i took the quiz on k12

The graphs of the system of equations are attached below. then the correct solution is (1,3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

We have been given a system of the equation as;

y= 3 x

y =−x+4

Then all critical points of the function f(x, y) = x. 2 y -x. 2 -3xy +. 2y + 5

Solving;

y = 3x

Then 3x = -x + 4

4x = 4

x = 1

Y = 3x = 3

Hence, the intersection point is (1, 3)

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a. The numbers are 23 and -6.

b. The numbers are 22  /3 and - 20 / 3.

The sum of two numbers is 17 and there difference is 29. Therefore, let's find the two numbers as follows:

let the two numbers be x and y

Therefore,

x + y = 17

x - y = 29

add the equations

2x = 46

x = 46 / 2

x = 23

Therefore, let's find y

y = 17 - 23

y = -6

Therefore, the numbers are 23 and -6

b.

The sum of a number and twice a greater number is 8. The sum of the greater number and twice the lesser number is -6.

Therefore, let's find the numbers as follows:

x + 2y = 8

y + 2x = -6

Hence,

x + 2y = 8

2x + y = -6

multiply equation(ii) by 2

2x + 4y = 16

2x + y = -6

subtract the equations

3y = 22

y = 22 / 3

Let's find x

x = 8 - 2(22 / 3)

x = 8 - 44 / 3

x =  24 - 44/ 3

x = - 20 / 3

Therefore, the numbers are 22 / 3 and - 20 / 3

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Check the picture below.

let's notice, ∡LMN is a central angle, thus the arcLN is the same 42°, whilst the inscribed ∡LPN is half that.