A rectangular page is to contain 95 square inches of print. the margins on each side are 1 inch. find the dimensions of the page such that the least amount of paper is used.

Answers

Answer 1

Hey

Let the dimensions for the Print Region be M,N

Additional Margin is summed up to get :

New Dimensions of the Page = (M + 2)(N)

[ 2 inches - 1 inch on either side ]

Hence, the Area = [ MN + 2N ] = [ 95 + 2N ]

Note that 'N' has to be a factor of 95

=> Least Possible Area is achieved when N = 5

=> Dimensions of the Page = { 21 inches x 5 inches ]

Related Questions

you have a bottle of water with a leak. after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle. how fast is the bottle losing water

Answers

In the 6 - 2 = 4 seconds for which we have a report, the bottle lost 28 -20 = 8 ounces.

The bottle is losing water at the rate of (8 oz)/(4 s) = 2 oz/s.

Answer:

rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.

Step-by-step explanation:

Given : after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle.

To find : how fast is the bottle losing water.

Solution : WE have given that

After 2 second water left in bottle = 28 ounces.

After 6 second water left in bottle = 20 ounces.

We can see with in ( 6 - 2) ,4 second bottle lose their 8 ounce water.

Therefore, rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.

PLZ HELP NOOOWWWW!!!! 15 points!

A sewing pattern calls for 1/2 meter of red ribbon and 1/5 meter of blue ribbon. What is the unit rate in meters of red ribbon per meter of blue ribbon?

Answers

Hello!

First you have to find how many sections of blue ribbon makes 1 meter

1/5 * 5 = 1

It takes 5 sections of blue ribbon to make one meter of blue ribbon

Multiply this by the sections of red ribbon

1/2 * 5 = 2.5

The answer is 2.5 meters of red ribbon for every meter of blue ribbon

Hope this helps!

Hello!

The unit rate would be 2.5.

Because you take the 2 out of 1/2 and get the unit rate.

Hope this helped. :)

Find the value of x.
Pls help

Answers

58 because it’s the same as the other one

Hey there! :D

Something important to remember, vertical angles that share the same vertex have the same measure, and are congruent.

So, if that one angle is 58, x would also equal 58.

58 is the answer.

I hope this helps!
~kaikers

At one vehicle inspection station, 13 of 52 trucks and 11 of 88 cars failed the emissions test. assuming these vehicles were representative of the cars and trucks in that area, what is the standard error of the difference in the percentages of all cars and trucks that are not in compliance with air quality regulations?

Answers

The standard error (SE) of the sampling distribution difference between two proportions is given by:

[tex]SE=\sqrt{p(1-p)\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}[/tex]

where p is the pooled sample proportion, [tex]n_1[/tex] is the size of sample 1, and [tex]n_2[/tex] is the size of sample 2.

[tex]p= \frac{p_1n_1+p_2n_2}{n_1+n_2} [/tex]

Given that at one vehicle inspection station, 13 of 52 trucks and 11 of 88 cars failed the emissions test.

[tex]p_1= \frac{13}{52} =0.25 \\ \\ p_2= \frac{11}{88} =0.125 \\ \\ n_1=52 \\ \\ n_2=88 \\ \\ p= \frac{0.25(52)+0.125(88)}{52+88} \\ \\ = \frac{13+11}{140} = \frac{24}{140} =0.1714[/tex]

[tex]SE=\sqrt{0.1714(1-0.1714)\left(\frac{1}{52}+\frac{1}{88}\right)} \\ \\ = \sqrt{0.1714(0.8286)(0.0192+0.0114)} \\ \\ = \sqrt{0.1714(0.8386)(0.0306)} = \sqrt{0.0044} \\ \\ =0.0663[/tex]

The two given proportions are
[tex]p_1=\frac{13}{52}=0.25[/tex] and [tex]p_2=\frac{11}{88}=0.125[tex].

The standard error is given by the formula
[tex]SE=\sqrt{\frac{p_1\left(1-p_1\right)}{n_1}+\frac{p_2\left(1-p_2\right)}{n_2}}[/tex]

Substituting the given values, we have
[tex]SE=\sqrt{\frac{0.25\left(1-0.25\right)}{52}+\frac{0.125\left(1-0.125\right)}{88}=0.0696}[/tex]

Therefore, the standard error is 0.0696.

GETS BRAINLIEST AND 50 PTS!

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf needs to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. 7.1 square feet 9.4 square feet 18.8 square feet 28.3 square feet

Answers

If the diameter is 3 feet, then the radius is 1.5 feet. Area of a circle = pi * radius squared or [tex]A = \pi r^{2} [/tex]

A = pi * (1.5)²
A = pi * 2.25
A = 3.14 * 2.25
A = 7.065 ≈ 7.1

7.1 feet² is your answer.

You are solving for the area of circular shape.

Let area = A
Let π= 3.14
Let radius = 1.5

The formula is as followed, you fill in the blanks:

[tex]A= \pi r^2 \\ (Area = 3.14 * radius^2 [/tex]

The answer exact answer is 7.07, but if you were to round it, because you want an approximate answer it would be 7.1 square feet.

Your answer from your choices given is bolded, and the work is in the picture:

- 7.1 square feet
- 9.4 square feet
- 18.8 square feet
- 28.3 square feet

Author's Note:

Please help me rank up to Virtuoso!!!
All I need is the following:
•Points: 0
•Brainliest Answers: 3

Rachel says that Graph R has a greater constant of variation that Graph S. Which statement explains whether Rachel is correct?

Answers

For this case we have that by definition the constant of variation of a line is given by the slope m, of said line.

Where:

[tex]m = \frac {(y_ {2} -y_ {1})} {(x_ {2} -x_ {1})}[/tex]

To find the slope of a line it is necessary to find two points through which the line passes.

To solve the given problem, we find the slopes of the lines shown in the graphics R and S:

Graphic R:

It is observed that the line passes through the following points:

[tex](x_ {1}, y_ {1}) = (0,0)\\(x_ {2}, y_ {2}) = (2,1)[/tex]

Substituting in the formula of the slope we have:

[tex]m_ {R} = \frac {(y_ {2} -y_ {1})} {(x_ {2} -x_ {1})}[/tex]

[tex]m_ {R} = \frac {1-0} {2-0}[/tex]

[tex]m_ {R} = \frac {1} {2}[/tex]

Thus, the slope of the line of the graph R is given by: [tex]m_ {R} = \frac {1} {2}[/tex]

Graphic S:

It is observed that the line passes through the following points:

[tex](x_ {1}, y_ {1}) = (0,0)\\(x_ {2}, y_ {2}) = (1,2)[/tex]

Substituting in the formula of the slope we have:

[tex]m_ {S} = \frac {(y_ {2} -y_ {1})} {(x_ {2} -x_ {1})}[/tex]

[tex]m_ {S} = \frac {2-0} {1-0}[/tex]

[tex]m_ {S} = \frac {2} {1}[/tex]

[tex]m_ {S} = 2[/tex]

Thus, the slope of the line of the graph R is given by: [tex]m_ {S} = 2[/tex]

[tex]m_ {S}> m_ {R}[/tex]

then, the graph S has a variation constant greater than the graph R.

Answer:

The graph S has a variation constant greater than the graph R.

Rachel's idea is wrong

Answer:

It’s D

Step-by-step explanation:

Write parametric equations of the line 2x-y=3

Answers

In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,

f(x) = y = ax + b

where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,

f(x) = y = 2x - 3

Answer: The required parametric equation is y=2t-3.

Step-by-step explanation:

Since we have given that

2x+-y=3

We need to rewrite in parametric equation:

The parametric equation is written as

[tex]f(x)=y=at+b[/tex]

So, Arranging the given equation in the above equation, we get

[tex]2x-y=3\\\\2x-3=y\\\\f(x)=y=2x-3[/tex]

And then put x = t, to get the exact parametric form.

Hence, the required parametric equation is y=2t-3.

The sales of lawn mowers t years after a particular model is introduced is given by the function y = 5500 In(9t+4), where y is the number of lawn mowers sold. How many mowers will be sold 4.5 years after a model is introduced? Round your answer to the nearest whole number. Show your work to find the number of mowers for credit.

Answers

20875.2 All you have to do is plug in the numbers to the equation.

Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why. a. Factor the equation. b. Graph the parabola. c. Identify the vertex, minimum, or maximum of the parabola. d. Solve the equation using the quadratic formula.

Answers

The surest way to get many of the points needed to plot a quadratic is to use the quadratic formula. This will give the roots (real or imaginary). It will give you the completed square form also called the vertex form (if you know how to use the discriminant). It can easily give you the y intercept (which you can find before you use the quadratic formula). It gives the max or min upon solution.

The easiest one to use if it is available to you, is factoring. The quadratic may not be factorable. But if it is and you can see it, then this gives you 2 points immediately (the roots) and a third without much trouble (the y intercept). Factoring will also give you the x value of the vertex. (Find the average between the 2 roots)

This needs an example
Suppose you have y = (x - 5)(x - 9) The roots are 5 and 9, correct? So the x value of the vertex is (5 + 9)/2 = 7 It always works.

Completing the square always gives you the minimum or maximum right away. For example if you have y = (x - 2)^2 - 5 it means you have the vertex at (2,-5) You can get the roots easily enough. So this form is useful, but not as sure as the quadratic equation or as simple as factoring.

Graphing is the most certain way to check your answer. I find it the most useful thing to do with modern computers. There are all sorts of things that a graph will reveal that algebra by itself might be laborious and prone to leading you to mistakes. Graphing tends to correct that problem.

when Derek planted a tree it was 36 inches tall the tree grew one and one fourth inches per year the tree is now forty four and three fourths how many years ago did Derek plant the tree

Answers

Answer:

Step-by-step explanation:

Figure out all the fractions in decimal form

44 3/4= 44.75

1 1/4= 1.25

Subtract:

44.75- 36= 8.75

Divide:

8.75/1.25= 7

The answer therefore is 7!

Hope this helps!!!

In a class of 147 students, 95 are taking math(m), 75 are taking science (s), 52 are taking both math and science. What is the probability of randomly choosing a student who is taking neither math nor science? Round your answer to the nearest tenth

Answers

Subtract 52 from m, s, and the total amount of students.. 52 is the amount of students that would take both math and science. m now equals 43, s now equals 23, and the total students remaining is 95.

Since the criteria wants you to exclude students that take math or science, add m and s together.

[tex]43 + 23 = 66[/tex]

This is the total amount of students that take math or science.

To find the probability of picking a student that doesn't take math or science, subtract 66 from the total amount of students.

[tex]95 - 66 = 29[/tex]

Take this amount and divide by the total amount of students again.

[tex] \frac{29}{95} = 0.3052[/tex]

Convert the decimal into a percentage.

[tex]0.3052 = 30.52[/tex] %

There is a 30.52% chance of picking a student that doesn't take math nor science.

Answer:

31/147

Step-by-step explanation:

good luck babes <3

Chris Shopper received a $1,000 discount loan to purchase a washer and dryer. The loan was offered at 12% for 120 days. What are the proceeds? $40.00 $144.00 $960.00 $1,440.00

Answers

The loan proceeds will be given as follows:
A=P(1+r/100)^n
Plugging the values we obtain
n=4 months=
A=1000(1+12/3*100)^1
A=$1040
hence the proceeds will be:
1040-1000=$40

Answer:

The correct answer is 960.

Step-by-step explanation:

120/360=0.333

Remember to use 360 because a bank year is 360 days.

Then you use the interest formula:

I= P×R×T

I=1000×0.12×0.333

39.99=I

Now take 1000 because your principal is 1000, and subtract that from 1000

1000-39.99=960

Consider the graphs f(x) = log10x and g(x) = a · log10x.
What happens to the graph of g(x) = a · log10x if a is –7? Check all that apply.
a.The graph is stretched vertically.
b.The graph will shift a units to the right.
c.The graph is compressed.
d.The graph is reflected across the x-axis.
e.The graph will shift a units to the left.

Answers

g(x) = a log10(x) = a f(x), meaning that whatever the value of f(x), it will be multiplied by -7. This means that the graph will be reflected across the x-axis (since the values will change sign). Also, multiplying by a factor of 7 stretches the graph vertically.

Therefore, the correct answers are a and d.

What is the mode of the following numbers? 8,10,10,10,6,7,8

Answers

The mode is the number that appears most frequently in a data set.

In the data set shown here, 10 appears more time than any other number which means that 10 is the mode.

Therefore, the mode of the data set shown here is 10.

The hyperbola with center at (4, 5), with vertices at (0, 5) and (8, 5), with b = 2.

Answers

The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4

Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1

Answer:

Step-by-step explanation:

The correct answer is (x-4)^2/16 - (y-5)^2/4 = 1

You earn $20.00 per hour at your job. If you get a 10% raise at the end of each year, what will your hourly rate, h, be after 8 years? Use the equation h=C(l+r)^t, where C is the beginning hourly rate, r is the growth rate, and t is time in years. A. $36.00 B. $22.00 C. $47.27 D. $42.87

Answers

The answer is D. $42.87

Given the following functions f(x) and g(x), solve (f ⋅ g)(2) and select the correct answer below: (1 point)

f(x) = 2x2 − 10

g(x) = x + 9

−22

22

−66

66

Answers

For this case we have the following functions:
f (x) = 2x2 - 10
g (x) = x + 9
Evaluating both functions for x = 2 we have:
f (2) = 2 (2) ^ 2 - 10 = 8 - 10 = -2
g (2) = (2) + 9 = 2 + 9 = 11
Then, multiplying both functions we have:
(f ⋅ g) (2) = (-2) (11)
(f ⋅ g) (2) = -22
Answer:
the correct answer below is:
-22

Answer:

-22

Step-by-step explanation:

Give other person brainliest

Brady has collected the following data. 11, 15, 15, h, 11. If the range of Brady's data is 9, what is the value of h?

Answers

To solve this question, let's start by understanding what the range of a data set means. The range is the difference between the highest value and the lowest value in the set.

Given that the range of Brady's data is 9, and we have the following data points: 11, 15, 15, h, 11, we can use this information to determine the value of h.

1. Identify the smallest value in the data set (without considering h for now). The smallest value given is 11.

2. Identify the largest value in the data set (without considering h for now). The largest value given is 15.

3. Since the range of the data is 9, we can calculate what the new highest and lowest value could be if h were to be the extremum.

If h were the largest value, then:
h - smallest value = 9
h - 11 = 9
h = 9 + 11
h = 20

If h were the smallest value, then:
largest value - h = 9
15 - h = 9
h = 15 - 9
h = 6

4. Now that we have two potential values for h (20 if it’s the maximum, and 6 if it’s the minimum), we have to decide which value is correct. Remember that the range is the difference between the largest and smallest values, so whichever potential value of h does not coincide with a number already in the data set is likely the correct value.

Since the current largest value in the data set without h is 15, and the current smallest value is 11, using h = 20 would yield a new range greater than 9 (20-11 = 9), and using h = 6 would also yield a range greater than 9 (15-6 = 9). But we are only looking for an existing range of 9. Thus, we must consider whether 20 or 6 would form a range of exactly 9 with the current set of numbers.

- If h = 20, it would become the new largest number and the range would be simply h - smallest value, which is 20 - 11 = 9, which is correct.
- If h = 6, it would become the new smallest number and the range would be largest value - h, which would be 15 - 6 = 9, which is also correct.

In this case, both h = 20 and h = 6 satisfy the condition for the range to be 9. However, we should look at the data set to see which data point (h) is not already present because the range should be the difference of two distinct (unique) data points.

In examining the given data set, we see that we already have a smallest value of 11 and a largest value of 15.

To maintain the range of 9 with the given data (without h), h could take on either the value which provides a max-min of 9 and is not already in the data set. In this scenario, both potential values 6 and 20 meet the criteria, since neither is present in the original data set.

Therefore, Brady’s h can be either 6 or 20 and still satisfy the given conditions.

5y^2 - 2y - 7 are (5y - 7) and ( )

Answers

You have the following expression given in the problem above, which is a quadratic equation:

5y^2 - 2y - 7=0

When you factor the quadratic equation, you obtain the following form of it:
(5y - 7)(y +1)=0

Therefore, as you can see the answer is: (5y - 7)(y +1)=0

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

Answers

The answer is B: m< -25/8

Answer: The graph of y=mx^2-5x-2 have no x-intercepts for m<-25/8

Solution:

y=mx^2-5x-2

To find x-intercepts we must equal y to zero:

y=0→mx^2-5x-2=0

This is a quadratic equation, and we can solve it using the quadratic formula:

ax^2+bx+c=0; a=m, b=-5, c=-2

x=[-b +- sqrt( b^2-4ac) ] / (2a)

x=[-(-5) +- sqrt( (-5)^2-4(m)(-2) ) ] / (2(m))

x=[5 +- sqrt(25+8m)] / (2m)

This equation doesn't have solution (no x-intercepts) if:

25+8m<0

This is an inequality. Solving for m: Subtracting 25 both sides of the inequality:

25+8m-25<0-25

8m<-25

Dividing both sides of the inequality by 8:

(8m) / 8 < (-25) / 8

m<-25/8

Answer: The graph of y=mx^2-5x-2 heve no x-intercepts for m<-25/8

hello can you please help me posted picture of question

Answers

Total number of players = 9
Number of players to be selected = 2

We can find the number of ways of selecting the player using permutations.
Ways to select 2 players from 9 = 9P2

[tex]= \frac{9!}{7!} \\ \\ =9*8 \\ \\ =72 [/tex]

Thus, the answer is option C

SOMEONE PLEASE HELP ASAP

Answers

Try this solution:
0.2; 0.2*(-0.3); 0.2*(-0.3)*(-0.3); 0.2*(-0.3)*(-0.3)*(-0.3);... etc.
if the first term of this sequence is n=1, then only 'C' is the right answer:
[tex]a_n=0.2*(-0.3)^{n-1}.[/tex]

The explicit formula for a Geometric Series can be written as:

[tex] a_{n}= a_{1}(r)^{n-1} [/tex]

Here, [tex]a_{1}= [/tex]First Term = 0.2

r = Common Ratio = - 0.06/0.2 = -0.3

Using these value in above formula, we can write the explicit formula of the sequence as:[tex]a_{n}=0.2(-0.3)^{n-1} [/tex]

So, option C gives the correct answer

Decide whether to reject h 0 for the level of significance ΅ . right - tailed test z = 1.43 ΅ = 0.05 22) the p - value for a hypothesis test is p = 0.006. do you reject or fail to reject h 0 when the level of significance is ΅ = 0.01? 23) find the p - value for the hypothesis test with the standardized test statistic z. decide whether to reject

Answers

We reject since the level of significance is ΅ = 0.01? 23). The p - value for the hypothesis test with the standardized test statistic z.

Final answer:

To decide whether to reject H0 for the level of significance ΅ in a right-tailed test, we compare the p-value to the level of significance. In this case, the p-value for the hypothesis test is 0.006 and the level of significance is 0.01. Since the p-value (0.006) is less than the level of significance (0.01), we reject H0.

Explanation:

For the second question, the p-value is not provided, so we cannot make a decision based on the information given.

300 minutes equals how many hours

Answers

300 minutes equals five hours.

We know that there are 60 minutes in an hour. To find the total number of hours, we can divide the total minutes by 60 minutes.

300 minutes / 60 minutes = 5 hours

Which of these is a point-slope equation of the line that is perpendicular to y-25=2(x-10) and passes through (-3,7)

Answers

y = 2x +13

We know the slope to be 2 because lines that are parallel have the same slope. Then we can solve using slope-intercept form and the known point.

y = mx + b ----> Input known values
7 = (2)(-3) + b ---> Multiple
7 = -6 + b ----> Subtract 3 from both sides
13 = b

Now we can use the y-intercept found and the slope to write the equation above.

Answer: y - 7= -1/2 (x+3)

Step-by-step explanation:

plz help ill give u brainlist

Answers

Okay, so the ratio from yellow balls to white balls:
2:3
Let's represent it with n
5n = 50
n = 10
3 * 10 is 30
There are 30 white golf balls.

Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make exactly $74! How many quarters and how many dimes are there in Steve’s piggy bank?

Answers

x - quarters, x+5 - dimes.
$74=7400 cents
Then
(25x+10(x+5))=(25x+10x+50)=(35x+50) cents.

35x+50=7400
35x=7400-50
35x=7350
x=7350/35
x=210 quarters

x+5=210+5=215 dimes

210 quarters and 215 dimes

Answer:

215 dimes and 210 quarters

Step-by-step explanation:

Quarters are x

dimes are x+5

.25x+.10(x+5)=74

.25x+.10x+.5=74

.35x=73.5

x=210 quarters or $52.50

x+5=215 dimes or $21.50

Add to $74.

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface area of the pyramid?

Answers

we know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²

Anwar says that the shape below is a parallelogram. is he correct that a kite is a parallelogram explain

Answers

Short answer: No afraid not.

Opposite sides of a parallelogram must be equal and parallel. The opposite sides of a kit are neither. To make sure you understand, measure the upper left side and the lower right side. The upper left is shorter than the lower right (even though these sides are opposite one another).

It you extend the upper left line upward and do the same thing to the lower right, you will get two lines that meet. No parallelogram will do that.

Which of the following are examples of exponential decay?

Answers

Decay means decreasing,
the rate is going to be less than 1, and it is going to continue,
it should look for example like
x*1/2*1/2*....
The answers should be B,C,D.

Answer: B,C,D

Step-by-step explanation:

Other Questions

QM Q9.) Write the standard form of the equation of the circle with the given center and radius. Tom is a world war ii war hero who suffers from posttraumatic stress disorder and major depression. in 1954, he was sent to an institution for treatment. he was successfully cured and he reentered society to lead a normal life. he was most likely admitted to a(n) _____. Trevor just received a jar of mixed nuts containing 325 almonds, 250 pistachios, 75 cashews, and 350 pecans for his birthday. He's going to start randomly choosing some nuts from the jar, and he's not going to do anything that would favor him choosing any particular type of nut over another. Let's use this information to calculate some probabilities. (4 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point)What is the probability that the first nut Trevor chooses is a pecan?Part II: What is the probability that the first nut Trevor chooses is an almond or a cashew? The fact that many older people begin to demonstrate an interest in painting, music, or woodworking supports the idea that older people _____. are generally very bored develop an appreciation for the aesthetic still have a drive for power and prestige become less interested in being with people What condition best belongs on the chart ? Alex walked 1 mile in 15 minutes. Sally walked 3,520 yards in 24 minutes. In miles per hour, how much faster did Sally walk than Alex? (Note: 1 mile = 1,760 yards) the probability of a chance event is close to 0. which statement about the event is true/ (A) the event is likely to occur (B) the event has the same chance of occuring or not occuring (C) the event is unlikely to occur (D) the event is definately not going to occur Two students, Ann and Max, factored the trinomial 4x2 6x 4. Ann factored it as 2(x 2)(2x + 1) and Max factored it as (x 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why. What role did cyanobacteria play in the cambrian explosion? quizet? Does the Ohio constitution of 1851 allow more or less popular sovereignty I really need help with these problems What were the conditions like for the soldiers fighting in the trenches of WWI The probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slap shot would you expect her to make after 120 attempts?-5-20-24-60I need help with Getting the answer! Help please! TRUE or FALSE; Voltaire believed that people by nature were good but that society corrupted them. Tracy solved the system of equations by making a substitution for x in the second equation. What equation did she get as a result of that substitution?x = 2y 2 2x + 3y = 62y 2 = 62y + 1 = 64y 2 + 3y = 64y 4 + 3y = 6 Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? millimeters What would be a major sign of overtraining? change in appetite decrease performance loss of motivation and vigor disturbed sleep? 50 POINTS! FRENCH PROJECTIn this project, you will read the two French newspaper articles copied below. Next, you will write the answers to the questions below in French. You must write complete sentences. You may use the expressions that you find in the articles in your answers. La Joconde vole !le 22 aot 1911Hier, le tableau le plus renomm du monde a disparu du Louvre. Accroch dans le Salon Carr depuis plus de 100 ans, l'absence du tableau, La Joconde, a t remarque par les gardiens du muse qui ont notifi la police.Le muse sera ferm pendant l'enqute. De plus, le gouvernement a ferm les frontires pour s'assurer que personne ne sorte le tableau du territoire franais. La police souponne un homme qui collectionne des copies de ce tableau, mais ils ne trouvent pas encore d'indices dfinitifs.La scurit du muse du Louvre est maintenant remise en question. La police a charg l'inspecteur Louis Lpine de l'enqute. La Joconde retrouve !le 11 dcembre, 1913Aujourd'hui, la police italienne a retrouv la Joconde. Vincenzo Peruggia a t arrt aprs avoir admis l'avoir vole il y a deux ansHier, Peruggia a tent de vendre le tableau Alfredo Geri, un marchand d'art italien. Geri a livr le tableau la police, qui ont ensuite arrt Peruggia. Peruggia admet avoir vol la Joconde le 21 aot 1911 parce qu'il veut que l'art italien reste en Italie. Mais, comment l'a-t-il vol ? Peruggia, un charpentier, travaillait au muse du Louvre en 1911. Le muse l'a embauch pour faire des vitres de protection pour quelques tableaux. Le 20 aot, Peruggia et deux autres ouvriers, les frres Lancelotti, taient dans le muse, au milieu de la foule. Ils se sont cachs dans un cagibi et y sont rests jusqu' la fermeture du muse. Pendant la nuit, Peruggia a dcroch le tableau et les frres Lancelotti l'ont aid en surveillant autour de lui. Ils sont rentrs dans le cagibi jusqu'au matin puis ils se sont repartis. C'est incroyable de penser que Peruggia est sorti du muse avec le tableau sous son bras, sans tre dtect. De plus, personne n'a remarqu la disparition de suite. Il est courant de voir des cadres vides dans le muse du Louvre. Souvent, les tableaux sont dcrochs pour tre restaurs ou copis. Des tudiants copient souvent des tableaux pour s'entrainer reproduire les techniques des matres. Mais, les gardiens savaient que personne n'avait la permission de copier ni de restaurer la Joconde, donc ils ont notifi la police immdiatement. Plus de 150 gendarmes et inspecteurs ont travaill sur le dossier. Aprs le vol, la police a pos des questions Peruggia, comme chaque ouvrier, mais Peruggia a dit qu'il n'avait pas travaill au muse pendant plusieurs mois. La police n'a pas vrifi.Peruggia a gard la Joconde dans son appartement moins de deux kilomtres du Louvre pendant ces deux ans. 1.Quand le vol a-t-il eu lieu ?2.Comment s'appelaient les voleurs ?3.O les Italiens ont-ils attendu ?4.Pourquoi l'absence d'une peinture n'a-t-elle pas attir l'attention des visiteurs cette poque ?5.Qui a dcroch la peinture ?6.Trouvez deux expressions ngatives autre que "ne...pas" dans l'article.7.Combien d'inspecteurs et de gendarmes ont cherch la Joconde?8.Pendant combien d'annes la Joconde tait-elle introuvable?9.O tait la Joconde pendant cette priode?10.Qui a t arrt ?11.Pourquoi a-t-il vol la Joconde? Congress passed the tenure of office act in 1867 to How did Europe respond to the economic crisis?