Place the products 1024/7, -1968/7 and 738/8 in
order from least to greatest.

Answer:

  B.  5

Step-by-step explanation:

You can fill in the given numbers in the vertex form equation and solve for the coefficient.

  y = a(x -h)^2 +k

  3 = a(4 -3)^2 -2

  3 +2 = a·1 . . . add 2

  5 = a

The coefficient of the squared expression is 5.

____

The offered x-value is 1 different from the vertex, so the value of that coefficient is the amount of change in the function. The function rises from -2 to +3, so has a change of 5 units. The coefficient is 5.

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

Answer:

6th graders

Step-by-step explanation:

The median is actually just the line inside the box of the box-and-whisker plot.

Notice that for 6th graders, the median is at about 2.4, while for 4th graders, the median is at about 1.5.

Clearly, the 6th graders have the higher median.

Let's draw a vertical line on the coordinate plane:

we have that the vertical line passes through the points (x,y_1) and (x,y_2). So if we want to find the slope this would happen:

So, we have that a vertical line have undefined slope since the denominator becomes 0 when we calculate the slope.

Now for the horizontal line, we have the following:

If we calculate the slope we get the following:

As we can see, the slope of a horizontal line is 0 since the values of the numerator become 0, and that is defined as a real number.

Answer: 59

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

tge question wasn't really clear btw

Answer:

60

Step-by-step explanation:

it doubled the x so double y

The relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.

In the given question we have to compute the price relatives for the three ingredients A, B and C.

Now finding the relative price using the formula.

Relative Price(RP) = Ending Cost(E)/Beginning Cost(B) *100

Now from the given table;

Ingredient Beginning(B)      Ending(E)            E/B                 E/B*100

A                     2.50                3.95                    1.58                   158

B                     8.75                9.90                    1.131                   131.1

C                     0.99                0.95                    0.96                   96

Hence, the relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.

To learn more about relative price link is here

brainly.com/question/14223290

#SPJ4

The right question is

A chemical company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. (Round your answers to the nearest integer.)

                    Cost per Pound ($)

Ingredient Beginning Ending Quantity (pounds) per 100

                                                                     Pounds of Product

A                     2.50            3.95                   25

B                     8.75            9.90                   15

C                     0.99            0.95                   70

Compute the price relatives for the three ingredients.

Item Price Relative

A

B

C

Answer:

this is pretty self explanatory.... 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer:

EAFI

Step-by-step explanation:

Since we know ∠A + ∠D = 90°, we can add the two equations together to get

90 = 7x + 6

Subtract 6 from both sides

84 = 7x

Divide both sides by 7 to get x = 12

Plug back into the equation to get ∠A = 36

Repeat for number 3, but this time the angles equal 180

Using the same steps as before, y = 3 and ∠C = 126

Put the letters together to get EAFI

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

For  more such questions on gross earning.

https://brainly.com/question/29206567

#SPJ8

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

For more question on monetary visit:

https://brainly.com/question/17750211

#SPJ8

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

Answer:

the cheeseburgers were purchased by micky

The three statistical questions are: A. How many hours of sleep per night do students usually get when they have school the next day? B and E.

A statistical question is one that may be resolved via the collection and examination of data. The question frequently incorporates a variable that might differ from person to person or scenario to situation, and the solution is not always the same. The words "how many," "what is the average," "what is the range," "what is the distribution," etc. are frequently used in statistical queries.

The three statistical questions are:

How many hours of sleep per night do students usually get when they have school the next day?

What are the heart rates of the students in Mr. Peterson's physical education class?

How many runs did the New York Yankees score in their last game?

Learn more about statistics here:

https://brainly.com/question/29093686

#SPJ1

Answer:

y=-7x+1

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The way the problem is worded, we expect "n" to represent the year number we're at the beginning of. That is the initial balance is that when n=1, and the balance at the beginning of year 5 (after interest accrues for 4 years) is the value of obtained when n=5.

After compounding interest for 4 years, the balance will be ...

  500·1.04^4 = 584.93

The matching answer choice is shown below.

Answer:

b

Step-by-step explanation:

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

To learn more about discount refer to:

https://brainly.com/question/1548141

#SPJ1

Answer:

\(\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}\)

Step-by-step explanation:

\(\frac{\frac{3}{a}+\frac{2}{b}}{\frac{5}{a^2}-\frac{2}{b^2}} \\ \\ =\frac{a^2 b^2 \left(\frac{3}{a}+\frac{2}{b} \right)}{a^2 b^2 \left(\frac{5}{a^2}-\frac{2}{b^2} \right)} \\ \\ =\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}\)

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

Read more on dollar here

https://brainly.com/question/29173646

#SPJ1

Answer:

x = 10

Step-by-step explanation:

...................

The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.

It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.

Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.

Where, a = slope (rate of change) and b = y-intercept (initial value).

Therefore, the required linear function which is as described is;

g = -16x + 600

Read more on linear functions;

https://brainly.com/question/15602982

#SPJ1

The total surface area of the triangular prism using the net is 96 square units

From the question, we have the following parameters that can be used in our computation:

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

Read more about surface area at

brainly.com/question/26403859

#SPJ1

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

Answer:

x = \(24^{o}\)

Step-by-step explanation:

r + s = 70 feet

Applying Pythagoras theorem to the triangle formed by cable r;

\(/hyp/^{2}\) = \(/adj1/^{2}\) + \(/adj2/^{2}\)

\(/r/^{2}\) = \(/20/^{2}\) + \(/8/^{2}\)

\(r^{2}\) = 400 + 64

   = 464

r = \(\sqrt{464}\)

 = 21.541

Length of cable r is 21.54 feet.

So that,

r + s = 70 feet

21.54 feet + s = 70 feet

s = 70 feet - 21.54 feet

  = 48.46 feet

Length of cable s is 48.46 feet.

Applying trigonometric function to the triangle formed by cable s, we have;

Sin θ = \(\frac{opposite}{hypotenuse}\)

Sin x = \(\frac{20}{48.46}\)

        = 0.4127

x = \(Sin^{-1}\) 0.4127

  = 24.3746

x = \(24^{o}\)

The measure of angle that s makes with the ground is approximately \(24^{o}\).

The variance of a data set is given by the formula:

Where μ is the mean given by the formula:

Therefore, in our problem:

Then, the variance is:

Thus, the variance is 2.29