Cora is wrapping a ribbon around a cylinder-shaped gift box. The box has a diameter of 15 inches and the ribbon is 60 inches long. Cora is able to wrap the ribbon all the way around the box once, and then continue so that the second end of the ribbon passes the first end. What is the central angle formed between the ends of the ribbon? Round your answer to the nearest tenth of a degree.

Answers

Answer 1

The central angle formed between the ends of the ribbon is 98.6°.

How to illustrate the angle?

The circumference will be:

= πd

= 3.14 × 15 = 47.1

Ribbon = 60 - 47.1 = 12.9

Length of arc = x/360 × πd

12.9 = x/360 × 3.14 × 15

x = 98.6°

The angle is 98.6°

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Related Questions

In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is blue, replace it, and draw another marble
that is red?
Enter your answer as a fraction in lowest terms. Do not add
spaces to your answer. (EX: 1/2)

Answers

Answer: 1/8

Step-by-step explanation:

solve this two questions with explaining method also....​

Answers

Answer:

6) Selling price =  ₹ 1608

   Labelled price =  ₹ 2010

7) Profit percentage = 10.5%

Step-by-step explanation:

Finding the selling price:

6) Cost Price =  ₹ 1200

          [tex]\sf Profit = 33\dfrac{1}{3} \% * Cost\ price\\\\[/tex]

                    [tex]\sf = \dfrac{102}{300}*1200\\\\ = 102 * 4\\\\[/tex]

                    =  ₹ 408

Selling price = Cost price + Profit

                     = 1200 + 408

                     =  ₹ 1608

      Let the labelled price = x

             Discount % = 20%

     (100-20)% of x  = 1200 + 408

            80%  of  x  = 1608

                           [tex]\sf x = 1608*\dfrac{100}{80}\\\\[/tex]

                           x = ₹ 2010

Answer: Selling price =  ₹ 1608

             Labelled price =  ₹ 2010

7) Let the Cost price =  ₹ X

Marked price = (100 + 30)% of  Cost price

                       [tex]\sf = \dfrac{130}{100}X\\\\ = 1.3 X[/tex]

Discount% = 15%

Selling price = (100 - 15)% of 1.3X

                     = 85% * 1.3X

                     = 0.85 * 1.3X

                     = 1.105X

[tex]\sf \boxed{\bf Profit \% =\dfrac{Selling \ price - Cost \ Price}{Cost \ price }*100}[/tex]

             [tex]\sf = \dfrac{1.105X - X}{X}*100\\\\ = \dfrac{0.105X}{X}*100\\\\ = 0.105*100\\\\ = 10.5 \%[/tex]

   

                 

Can someone help me on these problems and show work please !

Answers

Answer:

1. 3 terms; degree 5

2. 2 terms; degree 3

3. 9mn³ + 14mn²

4. 9a^4b^3

Step-by-step explanation:

Problems 1 - 2:

Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.

The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.

The degree of the polynomial is the same as the degree of the term with the highest degree.

1.

3 terms

degree 5

2.

2 terms

degree 3

Problems 3 - 4:

Combine like terms. Like terms have the same variables and exponents.

3.

6mn³ - mn² + 3mn³ + 15mn² =

= 6mn³ + 3mn³ - mn² + 15mn²

= 9mn³ + 14mn²

4.

a^4b^3 + 8a^4b^3 =

= 1a^4b^3 + 8a^4b^3

= 9a^4b^3

The graph of the function f(x) = -(x+6)(x + 2) is shown below. 46 £ Mark this and return 6+ 4 2 1-2- 4 2 ++ 4 6 X Which statement about the function is true? The function is increasing for all real values of x where O The function is increasing for all real values of x where -6 < x < -2. O The function is decreasing for all real values of x where x -2. O The function is decreasing for all real values of x where X​

Answers

The correct statements regarding the behavior of a quadratic function are:

The function in increasing for all real values of x where -6 < x < -2.The function is decreasing for all real values of x where x < -6 or x > -2.

When is a quadratic function increasing or decreasing?

A quadratic function with roots [tex]x_1[/tex] and [tex]x_2[/tex] is defined by:

[tex]y = a(x - x_1)(x - x_2)[/tex]

In which a is the leading coefficient.

The coefficient influences the behavior, as follows:

If a < 0, the function is increasing between the roots, and decreasing otherwise.If a > 0, the function is decreasing between the roots, and increasing otherwise.

In this problem, the function is:

f(x) = -(x + 6)(x + 2).

The roots are x = -6 and x = -2, and the leading coefficient is of a = -1 < 0, hence:

The function in increasing for all real values of x where -6 < x < -2.The function is decreasing for all real values of x where x < -6 or x > -2.

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A plane flies 452 miles north and then 767 miles west. What is the magnitude and direction of the plane's resultant vector?

Answers

Answer:

The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.

Step-by-step explanation:

• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

where:

a ⇒ hypotenuse (= resultant vector = ? mi)

b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).

Using the formula:

resultant² = [tex]452^2 + 767^2[/tex]

⇒ resultant =  [tex]\sqrt{452^2 + 767^2}[/tex]

⇒ resultant = 890.3 mi

• To find the direction, we can find the angle (labeled x in diagram) that the resultant makes with the north direction:

[tex]tan (x) =\frac{767}{452}[/tex]

⇒ [tex]x = tan^{-1} (\frac{767}{452} )[/tex]

⇒ [tex]x = \bf{59.5 \textdegree}[/tex]

∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .

Answer:

[tex]\displaystyle Approximately\:59°\:at\:a\:magnitude\:of\:approximately\:890\:miles[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:\theta \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:\theta \\ \frac{OPPOCITE}{ADJACENT} = tan\:\theta \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:\theta \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:\theta \\ \frac{ADJACENT}{OPPOCITE} = cot\:\theta[/tex]

We must use trigonometry to help us find the direction of the aeroplane's resultant vector. Do as I do:

[tex]\displaystyle \frac{452}{767} = cot\:x \hookrightarrow cot^{-1}\:\frac{452}{767} = x; 59,488772482...° = x \\ \\ \boxed{59° \approx x}[/tex]

Now, we will use the Pythagorean Theorem to find the magnitude of the aeroplane's resultant vector. Do as I do:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 767^2 + 452^2 = c^2 \\ \sqrt{792593} = \sqrt{c^2}; 890,27692321... = c \\ \\ \boxed{890 \approx c}[/tex]

Therefore, the direction and magnitude of the aeroplane's resultant vector are approximately eight hundred ninety miles at an angle of elevation of fifty-nine degrees.

I am joyous to assist you at any time.

triangle properties help

Answers

A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.

What is the probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm

Answers

The probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm is 0.0418.

There are several sorts of mean in arithmetic, in particular in statistics. each implies serves to summarize a given institution of information, often to better recognize the general fee of a given record set.

They imply (aka the mathematics mean, extraordinary from the geometric imply) of a dataset is the sum of all values divided with the aid of the entire variety of values. it is the maximum commonly used a degree of crucial tendency and is regularly referred to as the “average.”

Common can truely be described as the sum of all of the numbers divided by means of the entire quantity of values. An average is described as the mathematical common of the set of or more statistics values. common is commonly described as implying or arithmetic mean. mean is really a method of describing the average of the sample.

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Which monomials are perfect squares? Select three options.

6x2
9x8
17x9
25x12
36x16

Answers

The monomials that are perfect square are :
36*16 that is 576

Answer: B, D, E

Step-by-step explanation:

At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at the fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.

Answers

Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem:

There were f + m donations.The sum was of 1200f + 800m.The average was of 900.

Hence:

[tex]\frac{1200f + 800m}{f + m} = 900[/tex]

1200f + 800m = 900f + 900m

100m = 300f

[tex]\frac{f}{m} = 3[/tex]

Hence the ratio was of 3.

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Some bacteria double in every hour. if there were 2 bacteria in the beginning, how many bacteria will be there after 6 hours? how many bacteria will be there after 24 hours?\

Answers

Answer:

64

Step-by-step explanation:

if there 2 to begin with and the bacteria dobles every hour and there were 6 hours it would be 2⁶ and when you time 2 to the power of 6 you get 64

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

If the scale factor for the dilation shown is 3, which is the length of B'C'?
5/3
8
12
15

Answers

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5.  To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

Answer:

15

Step-by-step explanation:

correct on edge 2023

Complete this sequence.
30, 21, 12, 3, [?], [ ]

Answers

Answer:

-6, -15

Step-by-step explanation:

Each term is 9 less than the previous term.

Quick algebra 1 question only for 5 points :(
I would give more but people have been stealing my 100 point questions :(

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

1)

[tex]x = y + 5 \\ y = x - 5[/tex]

2)

[tex]x = \frac{3}{8} y \\ y = \frac{8}{3}x [/tex]

3)

[tex]x = - y - 2 \\ y = - 2 - x[/tex]

4)

[tex]x = 6y + 1 \\ 6y = x - 1 \\ y = \frac{x - 1}{6} [/tex]

5)

[tex]x = y - 11 \\ y = x + 11[/tex]

6)

[tex]x = 8y \\ y = \frac{x}{8} [/tex]

7)

[tex]x = \frac{ - 1}{3} y \\ y = - 3x[/tex]

[tex]basically \: flip \: x \: and \: y \: then \: solve \: for \: y[/tex]

Write Your recurrring decimal 0.255555...... as a fraction

Answers

Answer:

[tex]\frac{23}{90}[/tex]

Step-by-step explanation:

we require 2 equations with the recurring digit placed after the decimal point.

let x = 0.2555.. ( multiply both sides by 10 and 100 )

10x = 2.555... (1)

100x = 25.555.... (2)

subtract (1) from (2) thus eliminating the recurring digits

90x = 23 ( divide both sides by 90 )

x = [tex]\frac{23}{90}[/tex]

Answer:

[tex]\sf \dfrac{23}{90}[/tex]

Step-by-step explanation:

  x = 0.25555.....  --------------(I)

Number of non-recurring digits is 1. So, multiply equation (I) by 10.

10x = 2.5555.... --------------(II)

Number of recurring digits is 1. So, multiply equation (II) by 10.

 100x = 25.5555...... (III)

Subtract equation (II) from (III)

     100x = 25.5555........

       10x =    2.5555.......

    -             -                      

         90x = 23

             x = 23/90

Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.



Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?

Answers

Using a proportional relationship, it is found that Sam buys milk at a lower rate, of $3.4 per gallon.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, Edwin's graph goes through (2,7), hence the price is:

p = (7/2)g = 3.5g.

3.5 > 3.4, hence Sam buys milk at a lower rate, of $3.4 per gallon.

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Can someone help me with these two problems and show work please !!

Answers

I give u the answers of first and second one.

thank you

brainlist please

Answer:

First answer is 9 or 1 . Second answer is 7 or -7.

Step-by-step explanation:

[tex](x-5)^{2} =16[/tex]

[tex]x-5 = 4[/tex]  or [tex]x - 5 =-4[/tex]

so [tex]x = 9[/tex] or [tex]x = 1[/tex]

[tex]2x^{2} = 98[/tex]

[tex]x^{2} =49[/tex]

[tex]x=7[/tex] or [tex]x = -7[/tex]

PLEASE HELP ME I NEED HELP I'LL GIVE YOU BRAINLEST PLEASE I BEG YOU NICELY.

Can some one help me with this. This isn't school work this is math that I am doing at home on prodigy the app. I will mark you brainlest if you get this correct. Also look at both of the pictures one of them has a hint for you.

Answers

The perimeter of a rectangle is the sum of its side lengths.

A rectangle is special in that sides opposite one another have equal length. So if [tex]x[/tex] is the length of the horizontal sides, the total perimeter of the rectangle is

[tex]4\,\mathrm{cm} + 4\,\mathrm{cm} + x\,\mathrm{cm} + x\,\mathrm{cm} = (8+2x)\,\mathrm{cm}[/tex]

We're given the perimeter is actually 18 cm, so

[tex]8+2x = 18[/tex]

Solve for [tex]x[/tex].

[tex](8 + 2x) - 8 = 18 - 8[/tex]

[tex]2x = 10[/tex]

[tex]\dfrac12 \cdot 2x = \dfrac12 \cdot 10[/tex]

[tex]\boxed{x = 5}[/tex]

The graph of y = f(x) is graphed below. Wat is the end behavior of f(x)?
PLEASE ASAP

Answers

Answer:

B.) as x --> -∞, f(x) --> ∞ and x --> ∞, f(x) --> ∞

Step-by-step explanation:

F(x) is another way of representing "y". That being said, the question is asking you the behavior of the graph in terms of the y-axis. On both sides of the function, there is an arrow pointing upwards, towards infinite, positive y-values. Therefore, as "x" approaches -∞ and ∞, f(x) is approaching ∞ (positive infinity).

4/5 = ? x 1/5 i need this for khanacademy pls

Answers

Answer:

? = 4

Step-by-step explanation:

4/5 = 4/1 x 1/5

4/5 = 4/5

x = 8, y = 11

The variables x and y vary inversely. Use the given values to write an equation relating x and y . Then find y when x=2.

Answers

[tex]y = \frac{1}{mx} [/tex]

[tex]11 = \frac{1}{8m} [/tex]

[tex]m = \frac{1}{88} [/tex]

[tex]y = \frac{1}{ \frac{1}{88}x } = \frac{88}{x} [/tex]

[tex]when \: x = 2 \\ y = \frac{88}{2} = 44[/tex]

pls look at pic!!!!!!!!!!!!

Answers

Answer:

I don't think the answer is in the options.

Select the correct answer. which equation is correctly rewritten to solve for x?

Answers

The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.

How to rewrite an equation?

A linear equation given in the form ax + b = c can be rewritten to solve for x as below:

ax + b = c

⇒ ax = c - b

∴ x = (c - b)/a

So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.

Calculation:

Given equation is -fx - g = h

Step 1: Adding 'g' on both sides

-fx - g + g = h + g

⇒ -fx = h + g

Step 2: Dividing by '-f' on both sides

-fx = h + g

⇒ -fx/-f = (h + g)/-f

x = (h + g)/-f

Therefore, the rewritten equation to solve for x is x = (h + g)/-f.

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Disclaimer: The given question was incomplete in the portal. Here is the complete question.

Question: Select the correct answer. which equation is correctly rewritten to solve for x?

Equation: -fx = h + g

A. x = (g - h)/f

B. x = (h - g)/-f

C. x = (h + g)/-f

D. x = (h + g)/f

How could the relationship of the data be classified? (1 point)

(see photo)

A fairly strong positive correlation

A fairly weak positive correlation

A fairly strong negative correlation

A fairly weak negative correlation

Answers

The relationship of the data can be classified as a fairly strong positive correlation.

What is positive correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Positive correlation is when two variables move in the same direction. If one variable increases, the other variable also increases. When there is a positive correlation, the graph of the variables is upward sloping

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A rectangle is 2 feet long and
x+10) feet wide. What is the area?
A. (2x + 10) ft²
C. (22x) ft²
B. (2x + 20) ft²
D. (20x) ft²

Answers

Answer:

(2x + 20) ft^2.

Step-by-step explanation:

Area  = length * width

         =   2 * (x + 10)

         = (2x + 20) ft^2.

Please help asap!!!!!!!!!!!!

Answers

Answer:

95

Step-by-step explanation:

We know the measure of angle 4 is 85, therefore the measure of angle 2 is also 85.

Measure 2 is equal to measure 6, therefore measure 6 also equals 85, measure 8 equals measure 6 giving it the measure of 85.

Now the sum of angles 5 and 7 must equal 190, given we have two 85 degree angles, and the other two are equal, they must sum to 190, since they are equal we will divide 190 into 2, making angles 5 and 7 have a measure of 95.

Answer: 95°

Step-by-step explanation: With 2 parallel lines cut by a transversal, the following conditions are true.

Alternate interior angles are congruent. <4 and <6 are alternate interior angles, and so are <3 and <5.

Corresponding angles are congruent. Corresponding angles are angles that are in the same position in one line as the other. <1 and <5 are corresponding angles, and <4 and <6 are congruent. <2 and <6 are congruent, and <3 and <7 are congruent.

Vertical angles are congruent. Angles that are directly diagonal on the same line are congruent. <5 and <7, and <6 and <8 are examples of this.

Supplementary angles are, well, supplementary. By definition, two angles that are supplementary add up to 180°. Supplementary angles are angles that are on the same line and transversal, but not vertical angles. Rather, the angles are right next to teach other.

Alternate exterior angles are congruent. Alternate exterior angles are angles that are like alternate interior angles, but both share a position on the outside (and are diagonal.) The alternate exterior angles are <2 and <8, and <1 and <7.

Now that we have all definitions and conditions at hand, this will be easy.

If m<4 is 85°, and we want m<5, then we can see that <4 and <3 are supplementary angles. So by definition, <4 + <3 = 180°. We can substitute in <4 since we know it. We get 85° + <3 = 180°. Subtracting 85° from both sides, we get <3 = 95°.

Now we see <3 and <5 are alternate interior angles. By definition they are congruent. Thus, m<5 is 95° too.

Hope this helped!

(If my post was helpful, please mark it as Brainliest.)

Do you do boblox if so send me a request my acc is ravenonperks.

Answers

This is an app for questions u got questions about anything ?

To prove ABC is isosceles, which of the following
statements can be used in the proof?

Answers

Answer:

Angle CAB and angle CBA are congruent.

Step-by-step explanation:

Isosceles triangles have two sides of equal length as well as two congruent base angles.

Answer:

b

Step-by-step explanation:

make k the subject!

Answers

The answer is K=-a/b+c/b.

A surveyor measures the angle of elevation of the top of a mountain from a point at
sea level as 20◦. She then travels 1000 m along a road that slopes uniformly uphill
towards the mountain. From this point, which is 100 m above sea level, she measures
the angle of elevation as 23◦. Find the height of the mountain above sea level, correct to
the nearest metre.
(use sin rule/ cos rule)

Answers

The height of the mountain from a point a sea level is approximately 1496.650 meters.

What is the height of mountain from sea level?

First, we construct the geometric diagram of the situation and find all needed angles and sides to determine the height of the mountain. First, we determine the missing side x by the law of sines:

Law of sines

1000 m/sin 3° = x/sin 14.261°

x ≈ 4706.886 m

Now we determine the height of the mountain by trigonometric functions:

h = 100 m + (4706.886 m) · sin 17.261°

h ≈ 1496.650 m

The height of the mountain from a point a sea level is approximately 1496.650 meters.

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Picture vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Answers

Answer:

pretzel: 2

hotdog: 3

Step-by-step explanation:

Let h be the hotdog price and p the pretzel price.

We know that:

h + p = 5

and

2h + 3p = 12

We can solve this system of equations:

h = 5-p

2(5-p) + 3p = 12

So the second eq. becomes:

10 - 2p + 3p = 12

10 + p = 12

p = 2

Sub in the first:

h = 5 - p = 5-2 = 3

So p = 2, h = 3

Answer: $3 / hot dog

Step-by-step explanation:

Given information:

1 hot dog + 1 pretzel = $5

2 hot dogs + 3 pretzels = $12

Set variables:

Let x be the price per hot dog

Let y be the price per pretzel

Set system of equations:

x + y = 5

2x + 3y = 12

Multiply the first equation by 3:

3x + 3y = 15

2x + 3y = 12

Subtract the second equation from the first equation (Elimination):

(3x + 3y) - (2x + 3y) = 15 - 12

3x + 3y - 2x - 3y = 3

(3y - 3y) + 3x - 2x = 3

0 + x = 3

[tex]\boxed{x=3}[/tex]

Hope this helps!! :)

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rita is incredibly aggressive on the hockey rink, but is very nice to everyone when she isnt competing. what term best describes ritas "on-ice" aggression? A student obtains the following data:mass of evaporating dish 25.87 gmass of dish with mixture sample 28.4 gmass of beaker 146.36 gmass of beaker with dried salt 147.10 gmass of evaporating dish with dried sand ???however, this student spills her sand sample out of the evaporating dish before weighing it. if the student believes in the law of conservation of mass, what should have been the mass, in grams, of the evaporating dish with the sand in it? Consider the following program running on the MIPS Pipelined processor studied in class. Does it has hazards? add $s0, $t0, $t1 sub $s1, $t2, $t3 and $s2, $s0, $s1 or $s3, $t4, $t5 slt $s4, $s2, $s3Group of answer choicesTrue False find an expression for the kinetic energy of the car at the top of the loop. express the kinetic energy in terms of mmm , ggg , hhh , and rrr . maddy is an architect hired to design an events center where people from many different backgrounds will hold events. she plans on using the concept of universal design. what is the main purpose of this design? An organization with this orientation generates and distributes power and control within society.A. EconomicB. Pattern-maintenanceC. PoliticalD. Integration The summary statistics for a certain set of points are: n = 17, s_e = 2.080. sigma(x - x)^-2 = 16.106, and = b_1 = 1.388. Assume the conditions of the linear model hold. A 95% confidence interval for beta_1 will be constructed. i). How many degrees of freedom are there for the critical value? ii). What is the critical value? iii). What is the margin of error? iv). Construct the 95% confidence interval. A tree grows 1/4 foot in 1/12 year. Write the rate at which this tree grows in 1 year as a fraction. true or false: the areas surrounding mid-oceanic ridges have alternating peaks and valleys. Given the POSET ({2,3,5,30,60,120,180,360}, |),answer the following questionsWhat is/are the maximal element(s)?What is/are the minimal element(s)?Is there a greatest element? Is there a least element?What is/are the upper bound(s) of {2, 3, 5}?What is the least upper bound of {2, 3, 5}; if it exists?What is/are the lower bound(s) of {120, 180}?What is the greatest lower bound of {120, 180}; if it exists? the tendency of american and european anthropologists to attribute their own beliefs about sex and gender to the native american cross-gender tradition is an example of: a. cultural relativism b. the sociological imagination c. ethnocentrism d. all of the above What is the objective of the study? Small lies to big fibs TRUE/FALSE. Most astronomers believe that space ends at the edge of the observable universe. Find the length of arc AB. Use 3. 14 for 7. Round to the nearest tenth. 5 7. 9 cm66. 49D[? ]cm Find the vertex, focus, and directrix of the parabola. x2 = 2y vertex (x, y) = Incorrect: Your answer is incorrect. focus (x, y) = Incorrect: Your answer is incorrect. directrix Incorrect: Your answer is incorrect. What would be the most likely result of adding nucleotides lacking a hydroxyl group at the 3' end to a PCR reaction instead of dNTP?a. This would not affect the PCR reaction because hydroxyl groups are not involved in elongation. b. No additional nucleotides would be added to a growing strand containing that nucleotide. c. The phosphate will form a covalent bond with another atom, terminating elongation. d. T. aquaticus DNA polymerase would be denatured. Karst terrain could form in areas where the metamorphic rock ____ is prevalent because the rock contains the mineral ____marble; quartz marble; calcite schist: calcite quartzite: quartz Determine the partial pressure and number of moles of each gas in a 16. 75L vessel at 30 degree C containing a mixture of xenon and neon gases only. The total pressure in the vessel is 7. 10 atm, and the mole fraction of xenon is 0. 721. What is the partial pressure of xenon?What is the partial pressure of neon?What is the number of moles of xenon?What is the number of moles of neon? if the time quantum gets too large, rr scheduling degenerates to __________? select one: a. shortest-remaining-time-first b. multilevel queue c. sjf d. fcfs A rough draft is publishable, whereas a final draft is a sloppy copy. True False