HELP ASAP THANK YOU!!!!!!!!!!!!!!!!!

HELP ASAP THANK YOU!!!!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

C

Step-by-step explanation:

If (x + h) is a factor of f(x) then remainder is zero and x = - h is a root

Since division of 2x² + 2x + 9 by (x + 3) is zero , then

(x + 3) is a factor and x = - 3 is a root of the polynomial → C


Related Questions

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?

Answers

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

Find the vertex of the graph

Answers

Answer:

(-3, -11)

i needed to put more characters so here

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.

Answers

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

Answer:

Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.

Step-by-step explanation:

I just took the test on Edge 2020

What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]

Answers

We have

[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]

[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]

[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]

So

[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]

is equivalent to

[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]

which reduces to

[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Answers

Answer:

Relative frequencies:

Headaches = 23.55 %

Hypertension = 8.68%

Upper respiratory tract infections =24.79%

Nasopharyngitis = 21.07

Diarrhea = 21.09%

None of these adverse reactions appear to be much more common than the others.

Step-by-step explanation:

Compute frequency:

The number of adverse reactions categories:

Headaches

Hypertension

Upper respiratory tract infections

Nasopharyngitis

Diarrhea

Frequency of each adverse reaction:

Adverse reaction                                Frequency        

Headaches                                                 57                    

Hypertension                                              21

Upper respiratory tract infections             60

Nasopharyngitis                                          51

Diarrhea                                                       53

Compute total frequency

Total frequency is compute dby taking sum of all frequencies;

Sum of frequencies = 57 + 21 + 60 + 51 + 53

                                 = 242

Compute relative frequency:

In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.

By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.

To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.

Relative frequency for Headache = 57 / 242

                                                        = 0.2355

                                                        = 23.55 %

Relative frequency for Hypertension = 21 / 242

                                                             = 0.0868

                                                             = 8.68 %

Relative frequency for Upper respiratory tract infections = 60 / 242

                                                                                              = 0.2497

                                                                                              = 24.97 %

Relative frequency for Nasopharyngitis = 51 / 242

                                                                  = 0.2107

                                                                   = 21.07 %

Relative frequency for Diarrhea    = 53 / 242

                                                        = 0.2190

                                                         = 21.90 %

If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.

By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please

Answers

Answer:

its a! sorry im so late

Step-by-step explanation:

plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third

Answers

Answer:

P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6

Step-by-step explanation:

A six-sided die and a coin.

Probability of getting <3 and tail.

P((1 or 2) and Tail)

= 2/6 * 1/2

= 1/6

Answer:

1/6

Step-by-step explanation:

Please answer this in two minutes

Answers

Answer:

x ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ WXY

[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values

[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )

x sin107° = 10 sin33° ( divide both sides by sin107° )

x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )

This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)

Answers

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]

Let X = 8.8

[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Lea’s car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mike trip, what was the approximate cost of gas in dollars per gallon?

Answers

Answer:

$3.60 per gallon.

Step-by-step explanation:

First, we look for the gallon of gas that will be used for a 172.5 mile trip:

30 miles = 1 gallon of gas

172.5 miles = ?

172.5 ÷ 30 = 5.75 gallons of gas

Let's find the approximate cost of gas in dollars per gallon:

5.75 gallons of gas = $20.70

1 gallon of gas = $?

20.70 ÷ 5.75 = $3.60

The answer is $3.60 per gallon.

Which three-dimensional figure is formed by the rotation given?

Answers

Cone is the figure that is formed in the rotation provided

Answer: The bottom right

Step-by-step explanation: Take a peek at the pic :)

Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT

Answers

Answer:

9000

Step-by-step explanation:

the inital ammout which is 9k is the size of the loan

-200 because he years 200 dollars per month

but the start up number is 9000 and he repays the load at 200 dollars a month

very simple challenge hard question

Answers

Answer:

-58.41509433

Step-by-step explanation:

0.4+8(5-0.8*5/8)-5/(2.5)=34.4

[0.4+8(5-4/8)-(2)]=

[0.4+8(40-4)/8)-2=34.4 ( nominator)

15-(8.9-2.6/(2/3))*34*2/5 =-53

15-(8.9-3.9)*68/5

15-5*68/5=

15-68=-53 ( denominator)

(34.4/-53) *90

-58.41509433

Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths

Answers

Answer:

The answer is

[tex]y = \frac{4}{5} x - 6[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

m / slope = 4/5

c / y intercept = - 6

Substituting the values into the above formula

We have the final answer as

[tex]y = \frac{4}{5} x - 6[/tex]

Hope this helps you

Answer:

the  correct answer is C.

Step-by-step explanation:

i got it right on edge 2020

Which equation correctly uses the trigonometric ratio for sine to solve for y?

Answers

Answer:

b    y = 9sin(36)

Step-by-step explanation:

sin A = opp/hyp

for the 36-deg angle, opp = y, and hyp = 9.

sin 36 = opp/hyp

sin 36 = y/9

y = 9 * sin 36

Answer: b   y = 9sin(36)

PLEASE HELPPPPPP 65 points

Answers

Answer:

x + 2y ≤ 12

x + 2y = 12

Step-by-step explanation:

The teachers can not give more than 12 hours of homework so this is the answer. those are the 2 equations you can use. It under 12 hours or equal to 12 hours.

Answer:

Part A: x + 2y ≤ 12.

Part B: y = -1/2x + 6.

Part C: (0, 0).

Step-by-step explanation:

Part A: The total hours of homework have to be 12 hours, and it has to be either 12 hours or less. So, we have ≤ 12.

They take 1 math course with x hours of homework, so in total, that is 1 * x = x hours of math homework.

They take 2 science courses with y hours of homework, so in total, that is 2 * y = 2y hours of science homework.

The inequality would then be x + 2y ≤ 12.

Part B: x + 2y = 12

2y = -x + 12

y = -1/2x + 6

You can  use the Math is Fun: Function Grapher and Calculator to find the graph of the line, shown below.

Part C: Since the inequality uses a ≤ symbol, we know that the shading will be underneath the line. An appropriate point below the line includes (0, 0). We will test out whether it works as a point included in the inequality.

x + 2y ≤ 12

0 + 2 * 0 ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Since this is a true statement, (0, 0) holds true for the inequality.

Hope this helps!

Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8

Answers

Answer:

8

Step-by-step explanation:

3x^2 - 4

Let x = 2

3 * 2^2 -4

Exponents first

3 *4 -4

Then multiply

12 -4

Now subtract

8

[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?

Answers

Answer:

13 lbs

Step-by-step explanation:

An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10

Answers

Answer:b

Step-by-step explanation:

C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.

Answer:

b

Step-by-step explanation:

:D

Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase

Answers

Answer:

₹711,674.04

Step-by-step explanation:

1.firstly we need to solve for the total area of Bella's back garden deck.

2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.

Given

length of garden = 12 metres

width of garden = 11 metres

Hence the area of the garden is given as

[tex]Area= length* width[/tex]

[tex]Area = 12*11= 132m^2[/tex]

if a square metre cost ₹5,391.47 to build.

132 square metre will cost= ₹5,391.47*132= ₹711,674.04

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

Answers

Answer:

B. √16 × √6

C. √96

Step-by-step explanation:

4√6

4 can be written as a square root.

4 = √16

√16 × √6

The square roots are multiplied, they can be written under one whole square root.

√(16 × 6)

√96

which of the following is equivalent to (x+4)(3x^2+2x)??

Answers

Answer:

c

Step-by-step explanation:

-1+(4+7)=(-1+4)+7 what property is this

Answers

Answer:

Associative Property.

Step-by-step explanation:

The Associative Property is the property that says that (a + b) + c = a + (b + c).

Hope this helps!

Answer:

Associate Property

Step-by-step explanation:

I found my answer at baba com

which answer is equivalent to √16/√49

Answers

Answer:

sqroot 16/49 A

Step-by-step explanation:

The expression  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] is equivalent to expression [tex]\sqrt{\frac{16}{49}}[/tex] because by property  [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex].

The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] can be simplified by taking the square root of 16 and the square root of 49 separately.

√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.

Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.

So, the expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] simplifies to 4/7.

and we know that [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex]

[tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] , which simplifies to 4/7.

Therefore, [tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] .

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPj4

.
What is y + 3 = 7(2 – 2) written in standard form?

Answers

Answer:

y = -3

Step-by-step explanation:

y + 3 = 7(2 - 2)

y + 3 = 0

Subtract 3 from both sides

y + 3 - 3 = 0 - 3

y = -3

Answer:

  7x - y = 17

Step-by-step explanation:

Maybe you want the standard form of the point-slope equation ...

  y +3 = 7(x -2)

__

  y + 3 = 7x -14 . . . . . eliminate parentheses

  17 = 7x -y . . . . . . . . add 14-y

  7x - y = 17

The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250

Answers

Answer:

C

Step-by-step explanation:

0.1(x - 100)² + 250

0.1[(x - 100)(x - 100)] + 250

0.1(x² -200x + 10000) + 250

0.1x² - 20x + 1000 + 250

0.1x² - 20x + 1250

0.1x² - 25x + 5x + 1250

0.1x(x - 250) + 5(x + 250)

∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Answers

Answer:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

             ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                            PEACE!

Find the perimeter of a square with a diagonal of 15√2.

Answers

Answer:

15

Step-by-step explanation:

Answer:

21.213

Step-by-step explanation:

The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]

Answers

Using the factor theorem, we have

[tex]7x^2+x-5=7(x-a)(x-b)[/tex]

and expanding gives us

[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]

So we have

[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]

Can somebody please help? i need to graph the piecewise function. i won't forget to give brainliest.

Answers

Answer:  see graph (attached)

Step-by-step explanation:

Plot coordinates for each line. You MUST include the boundary points.

y = 3x - 5       x ≤ 1    

Choose x = -2, then y = 3(-2) - 5 = -11

Must include x = -1, then y = 3(-1) - 5 = -8

Draw a line starting at (-1, -8) and passing through (-2, -11)

y = -2x + 3      -1 < x < 4

Must include x = -1, then y = -2(-1) + 3 = 5

Must include x = 4, then y = -2(4) + 3 = -5

Draw a line segment starting at (-1, 5) and ending at (4, -5).

Note that both are strictly less than so must have open dots.

y = 2      x ≥ 4

Must include x = 4, then y = 2

Choose x = 5, then y = 2

Draw a line starting at (4, 2) and passing through (5, 2)

                   

Other Questions
How does merit pay differ from a bonus? Group of answer choices A bonus becomes part of an employee's base pay, but merit pay does not. A bonus is linked to individual performance, while merit pay is linked to team performance. Merit pay is linked to individual performance, while a bonus is linked to team performance. Merit pay becomes part of an employee's base pay, but a bonus does not. Write the following phrase as an expression. "7 more than n" The risk-free rate of return is 5%, the required rate of return on the market is 10%, and High-Flyer stock has a beta coefficient of 1.5. If the dividend per share expected during the coming year, D1, is $2.50 and g = 4%, at what price should a share sell? (Do not round intermediate calculations. Round your answer to 2 decimal places. Which statement is correct? Carbon dioxide diffuses from the alveoli into surrounding capillaries. In the blood, oxygen is bound to hemoglobin, a protein found in red blood cells. Oxygen is released from the mitochondria as a product of cellular respiration. As oxygen diffuses from the lungs into capillaries, blood becomes deoxygenated. Oxygen diffuses from large blood vessels into the body's cells. Nationwide Smoking Ban Consider the market for minivans (Some would describe a minivan as a family car). Looking at the two statements, which one is true and which one is false? Then again, are they both true or both false? Statement 1: People decide to have fewer children. The demand curve for minivans will shift to the right. Statement 2: The stock market crashes lowering peoples wealth (Hint: Minivan would be considered a normal good). The demand curve for minivans will shift to the right. In January, Stitch, Inc. adopted the dollar-value LIFO method of inventory valuation. At adoption, inventory was valued at $50,000. During the year, inventory increased $30,000 using base-year prices, and prices increased 10%. The designated market value of Stitch's inventory exceeded its cost at year end. What amount of inventory should Stitch report in its year-end balance sheet Y = -4x + 11 , 3x + y = 1 If the bases of an isosceles trapezoid have lengths of 11 and 26, what is the length of the median? A: 7.5 units B: 37 units C: 18.5 units D: 15 units When you use Word's Email option to share a document, you should edit the _____ line to let the recipient know the email is from a legitimate source. which expression is equivalent to 2(5)^4 g A particle (charge = +40 mC) is located on the x axis at the point x = -20 cm, and a second particle (charge = -50 mC) is placed on the x axis at x = +30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = -4.0 mC) placed at the origin (x = 0)? Group of answer choices Cobe Company has already manufactured 23,000 units of Product A at a cost of $25 per unit. The 23,000 units can be sold at this stage for $420.000. Alternatively, the units can be further processed at a $280.000 total additional cost and be converted into 6.000 units of Product B and 11,900 units of Product C. Per unit selling price for Product B is $106 and for Product C is $52. Required:Prepare an analysis that shows whether the 23,000 units of Product A should be processed further or not. 230g sample of a compound contains 136.6g carbon, 26.4g hydrogen, and 31.8g nitrogen. What is masspercentif oxygen determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use the pi key on your calculator. Which phrase describes a feature of groundwater?1. feeds rivers2. provides habitats3. makes up 75% of fresh water4. used for hydroelectric power cmIf a plate moves at a rate of 3 towardyearthe north, where would the plate be in 5,000years? Express your answer in meters. John is a quarterback. This year, he completed 350passes, which is 70%of all the passes he's attempted this year.How many passes has John attempted this year? Suppose that a wing component on an aircraft is fabricated from an aluminum alloy that has a plane-strain fracture toughness of 26.0 MPa m0.5. It has been determined that fracture results at a stress of 112 MPa when the maximum internal crack length is 8.6 mm. For this same component and alloy, compute the stress level at which fracture will occur for a critical internal crack length of 3.0 mm. How did dtente affect relations between the Soviet Union and the United States?