f(x) =
- 6x5 + 4x3
Which characteristic is correct for the function

Answers

Answer 1

Complete question:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

[tex] F(x) = -6x^5 + 4x^3 [/tex]

[tex] = -6(-x)^5 + 4(-x)^3 [/tex]

[tex] = 6x^5 + -4x^3 [/tex]

Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.

Also,  the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd

Answer 2

Answer:

odd

explanation:

F(x) =- 6x5 + 4x3Which Characteristic Is Correct For The Function

Related Questions

Please answer this in two minutes

Answers

Answer:

[tex] csc (R) = \frac{13}{12} [/tex]

Step-by-step explanation:

Formula for any given angle (Ѳ) is given as csc Ѳ = length of hypotenuse side//length of opposite side. It is the inverse of sin Ѳ.

In the right triangle given above, the opposite length = 24, while the length of the hypotenuse = 26

Thus,

[tex] csc (R) = \frac{hypotenuse}{opposite} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{13}{12} [/tex]

1. 2² X 5⁵ 2⁴ 2. (6⁵)² 6⁷ 3.(2x7)⁵ 7⁴ toloong

Answers

Answer:

1. 2⁶

2. 6⁷

3. 14⁵

Step-by-step explanation:

We assume and apply the laws of logarithms and indices in the problems above.

1. Product Rule Law: which states that

loga (MN) = loga M + loga N

Where 2² X 5⁵  = 2²+⁵ = 2⁷

2. The Power rule: in which (6⁵)² = 6⁵+² = 6⁷

3. (2x7)⁵ = (14)⁵ or 5 log 14

12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.

Answers

12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.

For the end of 2020, after the adjusting entry for bad debts was journalized, what is the balance in the following accounts:

Bad debt expense: Allowance for doubtful accounts:

For the end of 2020, what is the company's net realizable value?

Answer:

Bad debt expense  = $17000

Allowance for doubtful accounts = $17000

Company's net realizable value of accounts receivable at end of 2020 is

= $383,000

Step-by-step explanation:

From the information given :

Accounts written off in 2020 = $10,000

Accounts receivable expected to be uncollectible = $17,000

The Bad debt expense and Allowance for doubtful accounts can be computed as follows:

12/31/2020

Adjustment entry :

                                                           Debit                              Credit

Bad debt expense                             $17000

Allowance for doubtful accounts                                             $17000

Company's net realizable value of accounts receivable at end of 2020 = Closing accounts receivables - Allowance for Doubtful accounts =

Company's net realizable value of accounts receivable at end of 2020 is:

= $400,000 - $17,000

= $383,000

Which graph shows the solution to the system of linear inequalities? 2x -3y ≤ 12 y < -3

Answers

First solve for y in [tex]2x - 3y \le 12[/tex] to get [tex]y \ge \frac{2}{3}x-4[/tex]. The inequality sign flips because we divided both sides by a negative value.

To graph [tex]y \ge \frac{2}{3}x-4[/tex] we need to graph the boundary line y = (2/3)x - 4. This line has a y intercept of (0,-4) and another point on the line is (6,0).

Draw a solid line through (0,-4) and (6,0). The boundary line is solid because of the "or equal to" part of the inequality sign. The last part is to shade above the boundary line because of the "greater than" sign in [tex]y \ge \frac{2}{3}x-4[/tex].

---------------

As for graphing y < -3, we draw a horizontal dashed line through -3 on the y axis. The line is dashed because there is no "or equal to" here. We do not include boundary points as part of the solution set. Shade below this dashed line due to the "less than" sign.

---------------

After doing both of these things on the same xy grid, you'll get something that looks like choice C. I'm assuming choice C has a dashed line for the red region.

Answer: Choice C

The graph is image 2. (last option)

We first draw the lines 2x - 3y = 12 and y=-3. Image 1.

For 2x - 3y ≤ 12

or, 2x - 12 ≤ 3y

or, 3y ≥ 2x - 12

or, y ≥ (2x - 12)/3

we shade upwards.

For y < - 3 we shade below.

So the graph is image 2.

Learn more: https://brainly.com/question/8806877

Use the drawing tools to form the correct answers on the graph. Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.

Answers

Answer:

Axis of Symmetry: x = 3

Vertex: (3, 5)

Step-by-step explanation:

Use a graphing calc.

Answer:

3

Step-by-step explanation:

ASAP!!! THIS WORTH 50 POINTS!

Answers

Answer:

90 16-oz cases and 30 20-oz cases will maximize resin and time use120 16-oz cases will maximize profit

Step-by-step explanation:

Let x represent the number of cases of 16-oz cups produced.

Let y represent the number of cases of 20-oz cups produced.

The limitation imposed by available production time is ...

  x + y ≤ 15·8 = 120 . . . . maximum number of cases produced in a day

The limitation imposed by raw material is ...

  14x +18y ≤ 1800 . . . . . maximum amount of resin used in a day

__

The point of intersection of the boundary lines for these inequalities can be found using substitution:

  14(120- y)+18y = 1800

  4y = 120 . . . . . subtract 1680, simplify

  y = 30

  x = 120 -30 = 90

This solution represents the point at which production will make maximal use of available resources. It is one boundary point of the "feasible region" of the solution space.

__

The feasible region for the solution is the doubly-shaded area on the graph of these inequalities. It has vertices at ...

  (x, y) = (0, 100), (90, 30), (120, 0)

The profit for each of these mixes of product is ...

  (0, 100): 25·0 +20·100 = 2000

  (90, 30): 25·90 +20·30 = 2850 . . . . uses all available resources

  (120, 0): 25·120 +20·0 = 3000 . . . . maximum possible profit

The family can maximize their profit by producing only 16-oz cups at 120 cases per day.

Answer:

90 16-oz cases and 30 20-oz cases will maximize resin and time use

120 16-oz cases will maximize profit

Step-by-step explanation:

solve the equation using square root 5x2-9=6

Answers

Answer:

Is this what you are looking for....

Answer:

x=±√3 or ±1.732

Step-by-step explanation:

5x²-9=6

5x²=6+9

5x²=15

x=±√15/5

x=±√3

Compare 1/11 to 11/20 using least to greatest

Answers

Answer:

0.09

0.55

Step-by-step explanation:

to write least to greatest firstly, start comparing both number

so the answer will be=0.09,0.55

it least to greatest or in assending order.

what describes the transformation of g(x)=3(2)-x from the parent function f(x)=2x

Answers

Answer:

Reflect across the y-axis, stretch the graph vertically by a factor of 3

Step-by-step explanation:

The question has certain errors, in fact the functions are the following:

g (x) = 3 * (2) ^ - x

f (x) = 2 ^ x

The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:

1. When x is replaced by -x, then it reflects the graph on the y axis.

2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.

So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

  2.86 seconds

Step-by-step explanation:

A graphing calculator shows the ball hits the ground at t = 2.86 seconds.

_____

You can use the quadratic formula with a=-16, b=45, c=2:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}[/tex]

The ball is in the air for about 2.86 seconds.

pls i want help on this one ​

Answers

Answer:

1808 people

Step-by-step explanation:

Find 1% by dividing by 100.

1600/100=16

Multiply 16 by 13.

208

Add it to 1600.

1808

There are now 1808 people.

1600 * 0.13 = 208
1600 + 208 = 1808

Kala's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs at least 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.

Answers

Answer:

3x + 4y ≥ 82

Step-by-step explanation:

3x + 4y ≥ 82

we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82

Can you help me plz​

Answers

Answer: y = 6

Explanation:

Find area of 1 square:

180/5 = 36

Find the side length of the square:

Sqrt 36 = 6

Answer:

[tex]\boxed{\sf y=6}[/tex]

Step-by-step explanation:

There are 5 identical squares.

The area of one square is [tex]\sf s^2[/tex].

[tex]\sf{y^2 } \times \sf{5}[/tex]

[tex]\sf 5y^2[/tex]

The area of the whole shape is 180 cm².

[tex]\sf 5y^2=180[/tex]

Solve for y.

Divide both sides by 5.

[tex]\sf y^2=36[/tex]

Take the square root on both sides.

[tex]\sf y=6[/tex]

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. h(x) = 5x – 5 h(x) = 5x + 5

Answers

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:

For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5  

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 weeks:

The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

If Marguerite rents for 1 week, it will cost her the same at either company

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

h(x) = 5x + 5

those are the answers on edge

Step-by-step explanation:

George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 1/2 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 1/2 mile in order to arrive just as school begins today?

Answers

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

Please answer please question

Answers

Answer:38

Step-by-step explanation:multiple

The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company’s total output that year, in tons?

Answers

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

The shortest side of a triangle is 12cm and the area of the triangle is 8 square cm. A similar triangle has an area of 18 square cm. Calculate the shortest side of this triangle

Answers

Answer:

27cm

Step-by-step explanation:

Given the following :

Triangle A:

Shortest side = 12cm

Area of triangle = 8cm^2

Triangle B:

shortest side =?

AREA of triangle = 18cm^2

If triangle A and B are similar :.

Area A / Area B = Length A / length B

8cm^2 / 18 = 12 / length B

Cross multiply :

8cm * Length B = 18 × 12

Length B = 216 / 8

Length B = 27

Therefore, the shortest of the other triangle IS 27cm

Answer:

its A C and E hope this helps

Step-by-step explanation:

Find the mean of the following data set. 8, 5, 15, 12, 10 12.5 10 14 50

Answers

Answer:

10

Step-by-step explanation:

8+5+15+12+10= 50 / 5 = 10

. What is half the next number in the pattern 1, 3, 9, 27, 81
A. 234
B. 67
D c. 468
0 0.76​

Answers

Answer:

A. 243

Step-by-step explanation:

just multiply the next number by 3

81*3= 243

Answer:

[tex]\boxed{243}[/tex]

Step-by-step explanation:

The ratio can be found by dividing a term in the sequence by the previous term.

[tex]\frac{27}{9} =3[/tex]

Each term gets multiplied by 3 to get the next term.

[tex]81 \times 3 = 243[/tex]

Find the value of x for the triangle.
37
37
45°
45°

Answers

Answer:

[tex]x=37\,\sqrt{2}[/tex]

Step-by-step explanation:

Notice you are dealing with a right angle triangle, since one of the angles measure [tex]90^o[/tex]. Now, what you are asked to find is the hypotenuse of that triangle, given an angle of [tex]45^o[/tex] and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:

[tex]sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}[/tex]

simplify
[tex] {a}^{ - 2} {b}^{3} [/tex]

Answers

Answer:

Below

Step-by-step explanation:

● a^(-2) *b^3

●(1/a^2) *b^3

● b^3 / a^2

If f(x)=k (square root)2+x, and f^-^1 (-15)=7, what is the value of k

Answers

There's a bit of ambiguity in your question...

We know that [tex]f^{-1}(-15)=7[/tex], which means [tex]f(7)=-15[/tex].

I see three possible interpretations:

• If [tex]f(x)=k\sqrt2+x[/tex], then

[tex]f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2[/tex]

• If [tex]f(x)=k\sqrt{2+x}[/tex], then

[tex]f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5[/tex]

• If [tex]f(x)=\sqrt[k]{2+x}[/tex], then

[tex]f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)[/tex]

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

Answers

Answer: All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

The orthocenter is the center of the triangle formed by creating all the altitudes of each side.  

The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.  

In acute traingle , the orthocenter lies inside it.

In right angled triangle, the orthocenter lies on the triangle.

In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .

So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.

Answer: It’s A on edge

Of the books in the Hogwarts Library, 1/4 came from Hermione and 8 came from Luna. Of the rest, 14 were Ron’s, 1/2 were Ginny’s. How many books are there in the library?

Will mark brainlist

Answers

Answer:

88

Step-by-step explanation:

The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.

So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].

Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ?

Answers

Answer:

Exponential

Step-by-step explanation:

The liner function represents that there is a constant change in the original value of the asset

While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset

Hence, the given situation denotes the exponential function

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 6, negative 2) and point K is at point (8, negative 9). What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 –4 –2 2 4

Answers

Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A([tex]x_1,y_1[/tex]) to B([tex]x_2,y_2[/tex]) is given by the formula:

[tex](x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )[/tex]

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

[tex]x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2[/tex]

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

[tex]J = (-6,-2)[/tex]

[tex]K = (8,-9)[/tex]

The ratio is given as:

[tex]m : n =2 : 5[/tex]

The x-coordinate is then calculated using:

[tex]x = (\frac{m}{m + n }) (x_2 - x_1) + x_1[/tex]

So, we have:

[tex]x = (\frac{2}{2 + 5 }) (8 - -6) -6[/tex]

[tex]x = (\frac{2}{7}) (14) -6[/tex]

Expand

[tex]x = (2) (2) -6[/tex]

Open bracket

[tex]x = 4 -6[/tex]

Subtract 6 from 4

[tex]x = -2[/tex]

Hence, the x coordinate of the segment is -2

Read more about line ratios at:.

brainly.com/question/14382744

figure out if the equation is inverse or direct

Answers

Answer:

A. Inverse variation

B. Direct variation

C. Direct variation

D. Inverse variation

Hope this helps you

The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?

Answers

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.

Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.

Answers

Answer:

Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.

Answer:

a c e

Step-by-step explanation:

Other Questions
Betty has $33 to buy plants for her greenhouse. Each plant costs $8. Howmany plants can she buy? Do not include units in your answer. Ava is buying paint from Amazon. Ava needs 34 cup of blue paint for every 1 cup of white paint. Ava has 28 ounces of white paint. How much blue paint does he need? ANSWER ASAP. Which number line correctly shows 3 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5. According to the Fourth Amendment, what must the government do before taking a persons property? Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.Use the polygon tool to graph the dilated figure. History has demonstrated that the techniques employed in this laboratory exercise often overestimate an individual's actual resting tidal volume. List some reasons why these laboratory techniques might produce abnormally high values for resting tidal volume. the hypotnuse of a 45 -45 -90 triangle measures 222 units. what is the length of the leg of the triangle? What are digestive enzymes? Give three examples of digestive enzymes and briefly describe their specific functions. What is the electron configuration of chlorine (Cl)?1s22s22p63s23p31s22s22p63s23p51s22s22p63s24s23p31s22s22p63s23p23d3 People start waiting in line for the release of the newest cell phone at 5\text{ a.m.}5 a.m.5, start text, space, a, point, m, point, end text The equation above gives the number of people, PPP, in line between the hours, hhh, of 6\text{ a.m.}6 a.m.6, start text, space, a, point, m, point, end text and 11\text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text, when the doors open. Assume that 6\text{ a.m.}6 a.m.6, start text, space, a, point, m, point, end text is when time h = 1h=1h, equals, 1. What does the 232323 mean in the equation above? Evaluate the function using the values. Show that (a - b)+(b-c)+(c -a)3 = 3 (a - b) (b -c) (c-a) The ratio of the legs of a trapezoid is 1:2, and the sum of the angles adjacent to the bigger base is 120. Find the angle measures of the given trapezoid. Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years What is the leading cause of water contamination in countries without water treatment plants?1.lack of public health agencies2.invasion by parasites3.improperly managed sewage4.drought What two changes occurred on Earth during the most recent Ice Age? Which expression can you simplify by combining like terms?CLEAR CHECK12b2+4ab3ba617a26b2a+4ba95b25a2+8ab14a2+6ab3b3a Tyler is 14 years old. He has just been expelled from school for bringing a knife. He has been arrested on two previous occasions - once for beating up another boy very badly and another time for setting fire to his neighbor's barn. Tyler's parents are at their wit's end and don't know what to do. According to the DSM-5 Tyler would likely be diagnosed with: a. Antisocial Personality Disorder b. Conduct disorder c. Oppositional defiant disorder d. Psychopathy Plz help me 3(x + 1) = 5 + x Briefly explain what was done in the experiment where pigeons could choose which button to peck in the Skinner box. How does this relate to self-control?