A 4-cylinder engine with 543 Cubic Centimeters volume per cylinder has what approximate displacement?

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

C

Step-by-step explanation:

Answer:a

Step-by-step explanation: a

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

The y-intercept is \(7\)

Step-by-step explanation:

Think of y=mx+b

m is the slope

b is the y-intercept

since 7 is in the b, the y-intercept is 7.

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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the answer is 4/5 this is know to be hard

Answer:b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

Step-by-step explanation:

27. Which statement is true about the system

x+3y=11

y=r-7

a. (8,-1) is a solution to both equations, so it is a solution to the system

b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

C. (8,-1) is a solution to one equation but not the other so it is not the solution to the system

d. (8,-1) is not a solution to either equation, so it is not a solution to the system​

Answer:

144 servings

Step-by-step explanation:

Step 1

We convert 3 gallons to cups

1 gallon = 16 cups

3 gallons = x cups

x = 3 × 16 cups

x = 48 cups

Step 2

If

4 cups of milk = 12 servings.

48 cups of milk = x servings

Cross Multiply

4 × x = 48 × 12

x = 48 × 12/4

x = 144 servings

Therefore, 3 gallons of milk(48 cups) = 144 servings

Answer:

AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle

\( \bf \dagger \: To \: find\)

\( \\ \\ \)

\( \\ \\ \)

\( \bf \dagger \: Given\)

\( \\ \\ \)

\( \\ \\ \)

\( \bf \dagger \: Solution\)

\( \\ \\ \)

\( \dashrightarrow \sf - 10 x + 3y = 5\)

Put value of x I.e y - 4 in the equation

\( \\ \\ \)

\( \dashrightarrow \sf - 10(y - 4) + 3y = 5\)

\( \\ \\ \)

\( \dashrightarrow \sf - 10y + 40 + 3y = 5\)

\( \\ \\ \)

\( \dashrightarrow \sf - 10y+ 3y + 40 = 5\)

\( \\ \\ \)

\( \dashrightarrow \sf -7y + 40 = 5\)

\( \\ \\ \)

\( \dashrightarrow \sf -7y = 5 - 40\)

\( \\ \\ \)

\( \dashrightarrow \sf -7y = - 35\)

\( \\ \\ \)

\( \dashrightarrow \sf \cancel-7y = \cancel - 35\)

\( \\ \\ \)

\( \dashrightarrow \sf 7y = 35\)

\( \\ \\ \)

\( \dashrightarrow \sf y = \dfrac{35}{7} \)

\( \\ \\ \)

\( \dashrightarrow \boxed{\sf y = 5} \star\)

\( \\ \\ \)

Now Let's find value of x.

\( \\ \\ \)

Put value of y I equation: x = y -4

\( \\ \\ \)

\( \dashrightarrow \sf x = y - 4\)

\( \\ \\ \)

\( \dashrightarrow \sf x = 5 - 4\)

\( \\ \\ \)

\( \dashrightarrow \boxed{\sf \: x = 1} \star\)

\( \\ \\ \)

.°. value of x and y = 1 and 5 respectively

Answer:

0.2 I think

Step-by-step explanation:

Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.

To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.

Step 1: Given the slopes of two parallel lines, m₁ and m₂.

Step 2: Assume two points on each line: (0, a) and (c, b).

Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).

Step 4: ??? (Missing Statement)

Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.

By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:

From Step 3, we have:

m₁ = (b - a) / (c - 0)

m₂ = (d - a) / (0 - c)

Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).

To express this relationship, the missing statement in Step 4 should be:

A. c - 0 = b - a

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Answer:

I believe that A. pie chart, is the correct answer.

Step-by-step explanation:

This is because, a pie chart is a graph that shows the percentages of different things as they relate to a whole.

A pie chart would represent this scenario best because it would have different sections for each task, as well as the amount of employees that preform each task. Together, each task would result in the whole amount of employers.

This is why this graph would be the most appropriate.

Hope this helps! :)

Answer:

A. pie chart

Step-by-step explanation:

Did it on edge 2021

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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We have the next inequality:

This represents that y can take all real numbers over 4 (not including the number four).

Hence, we can graph this like this:

Where the limit with the number four is represented with the line ----------

Answer:

Step-by-step explanation:

If is a permutation group of degree, then the permutation representation of is the linear representation of which maps to the corresponding permutation matrix (here is an arbitrary field). That is, acts on by permuting the standard basis vectors.

Answer:

Question 2: A

Question 3: 3x=3x+0

Step-by-step explanation:

For the chart use (symbolab)  it is a site that can help you with finding out the solutions by typing in the equation and it will give you an answer if it is no solution, one solution or, infinite

Step-by-step explanation:

slope,   m = ( y1-y2) / (x1-x2)   = ( 6-8) / (12-28) =  -2 / -16 = 1/8

ANSWER

EXPLANATiON

Given information

The original price of the cake is $15

To determine a better deal, follow the steps below

The first coupon; Take $5 off on every purchase of $10 or more)

This implies that if your purchase is more than $10, then, subtract $5

Hence, the amount he will pay is calculated below

The second coupon

40% off of any purchase

This implies that there is a 40% discount on any the purchase

From the above calculation; the second part has the best deal because you will be paying less of the origin

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:303.19

Step-by-step explanation: HOPE I HELPED

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  \(\frac{g(x+h)-g(x)}{h}\). To get an expression for  \(g(x+h)\), replace  x  with x + h.

For this question,

\(\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}\)

Factor  \(4^x\) out of the numerator.

\(\frac{4^x(4^h-1)}{h}\)

Answer:

The answer is A the first option

Step-by-step explanation:

Just took the unit review and got a 100

Answer: 3 copies of 5 tenths = 3*0.5 = 1.5

Step-by-step explanation:

Ok, if we have:

"3 copies of a number B"

This is written as:

3*B

And we have that the number B is "5 tenths"

Now, a tenth is the first digit after the decimal point.

Then 5 tenths = 5*0.1 = 0.5

B = 0.5

3 copies of 5 tenths = 3*0.5 = 1.5

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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Answer:

Step-by-step explanation:

The problem statement gives two relations between numbers of servers and their total RAM. Those can be used to find the RAM each size server has.

__

Let L and S represent the number of GB of ram held by a large server and a small server, respectively.

  3L +2S = 96 . . . . . . total RAM when all are on-line

  2L +1S = 60 . . . . . . after loss of one server of each type

Subtracting the first equation from twice the second, we have ...

  2(2L +S) -(3L +2S) = 2(60) -(96)

  L = 24 . . . . . . . simplify

  S = 60 -2L = 60 -48 = 12 . . . . use the second equation to find S

A large server has 24GB of RAM; a small server has 12GB.

Answer:

B

Step-by-step explanation:

So we have:

\(\frac{x^{\frac{2}{3}}}{y^{\frac{-3}{4}}}\)

First, we recall that we can switch an exponent from the denominator to the numerator if we multiply the exponent by -1 and vice versa. Therefore:

\(=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}\)

Now, use the following property:

\(a^{x/n}=\sqrt[n]{a^x}\)

Therefore:

\(x^{\frac{2}{3}}=\sqrt[3]{x^2}\)

And:

\(y^{\frac{3}{4}}=\sqrt[4]{y^3}\)

And so together:

\(=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}\\=\sqrt[3]{x^2}\cdot\sqrt[4]{y^3}\)

Our answer is B :)

Answer:

B

Step-by-step explanation:

the answer is the letter b